diff --git "a/data/dm_maths/full_data/13_11255.jsonl" "b/data/dm_maths/full_data/13_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/13_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the thousands digit of 10073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 55?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 11*l - 6. Let f(c) = -c - 3. Let m be f(7). Let z be s(m). Let p(h) = z + 2*h**2 - 16*h - h**3 + 14*h + 3*h**2. Determine p(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 16*h**2 + 16*h + 18. Let z be i(17). Let k(q) = -q + 2*q - 3*q - z + 8*q**2. Determine k(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/30)\/(1\/5). Let k = y + 2. Which is greater: k or -3\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 107, 42, -23, -88, -153?\n\"Answer: -65*v + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 17 = -3. Let s(x) = 3*x**3 - x**2 + 8*x + 1. Let t(n) = -n**3 - 4*n - 1. Let o(g) = 2*s(g) + 5*t(g). Does 13 divide o(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2045699*q. Let l(x) = -2*x**2. Calculate l(w(j)).\nAnswer: -8369768797202*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -103*j + 55. Let d(t) be the second derivative of 7*t**3\/6 + 39*t**2 + 26*t. Let h be d(-12). Is p(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -347 (base 15) to base 12.\nAnswer: -51a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 7. Let p be ((-58)\/(-10) + -4)*5. Suppose -d = -n*y - 24 + 2, 3*y = p. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -295dad5 + 4?\nAnswer: -295dad1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-14) + 12\/(-8). Let x = -421 + 3785\/9. Sort -1\/4, x, v.\nAnswer: x, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**4 - 1 + 1 - 3*z**4 - z**4 + 3*z**4 + (-z**2 + 0 + 0)*(0*z**2 + 0*z**2 - 2*z**2) + 6*z**2 + 4*z**4 - 6*z**2.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010681303 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 + 3*x**2 - 5*x - 14. Calculate the remainder when 381 is divided by z(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-88 + 88 - 32*f)*(2*f + 75 - 75) in the form y*f**2 + m*f + u and give y.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 8.38792 rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2452*p - 1160 = 2394*p for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (68 - (76 - 80))\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*i = -327, 2*j - 3*i - 639 = 2*i. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 31*m**3 + 2*m**2 - m. Suppose -2*g + 22 = 5*l, g + 0*l = -4*l + 17. Let s be z(g). What is the highest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2\/5 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1250, 1257, 1262, 1259, 1242, 1205, 1142, 1047?\n\"Answer: -u**3 + 5*u**2 - u + 1247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l**2 - 3*l + 3. Let t be s(4). Let c(z) = -50*z**3 + 2*z**2 + 9*z + 8. Let i be c(-1). Let n = t - i. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.308 + -0.208. What is the second smallest value in 5, g, -2\/3, -20?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*m - 52 = 206 + 136 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.5231552 nanoseconds in days?\nAnswer: 0.000000000000156518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -5\/2, -49, 28?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 1. Let a be y(2). Let f(m) = 3*m. Let q be f(a). Suppose -123 + 1362 = q*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/5))**37*(t**2*t*t)**(7\/12) assuming t is positive.\nAnswer: t**(146\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c + 10*c**3 - 8*c + 0 - 2*c**3 + 0 + (2*c**3 - 4*c**3 + 4*c**3)*(-2 + 0 + 4) - 4*c**2 + 4*c**2 + c**3.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v + 7. Let t(j) = -j + 2. Suppose 0 = -z - 3*z + 28. Let l = 11 - 16. Let s = 3 + l. Calculate s*u(x) + z*t(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27480671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/46 and 13.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 less than or equal to -53\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 161.841 - 2524.871. What is c rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.5 + -4. Let z = -0.34 + -156.66. Let p = z + 159. What is the nearest to 14 in 5, d, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1646, -3288, -4930, -6572, -8214?\nAnswer: -9856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36.15 - -38.33. Let x = -0.2 - -0.18. Let k = y - x. Is k < 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d**2 + 6*d - 17. Let v(x) = 3*x**2 + 2*x - 6. Determine -11*v(o) + 4*w(o).\nAnswer: -o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 756\/55 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29096079 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7394\/9 < -174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 689.882 decades in months?\nAnswer: 82785.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 131430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 146466?\nAnswer: -146502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -45*w**2 - 2*w - 1081. Let a(z) = -2*z**2 - 2. Let f(q) = 6*a(q) - y(q). Differentiate f(s) with respect to s.\nAnswer: 66*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35177 is divided by 61?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 0.3 (c) -5 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 0*d**3 + 110*d - 1\/4*d**4 + 0*d**2 + 0. Let a(u) = -7*u. Give m(a(y)).\nAnswer: -147*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b = -2*i + 48, -32 = -2*i + b. Let g = -12 + i. Suppose f = g*f. Solve f = 5*s + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 4*v - 2 - 10, -5*v = -4*k - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.6 (b) -0.2 (c) 0 (d) -2684 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32220 - 205423?\nAnswer: -153203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 172782748 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53143391, -106286779, -159430165, -212573549, -265716931?\nAnswer: -318860311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6*((-172)\/(-8) + -16)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 9*y**2 + 10*y - 4. Give u(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 81.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5931223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 210857 + -58?\nAnswer: 210799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + (-33)\/(-12))*24\/9 + 2. What is the highest common factor of i and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0, 4\/3, -838, 17, -97 in increasing order.\nAnswer: -838, -97, -0.2, 0, 4\/3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1078, -3733, -8158, -14353, -22318, -32053?\nAnswer: -43558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2. Let j(i) be the third derivative of i**5\/20 + i**3\/3 + 9*i**2. Give d(j(h)).\nAnswer: 18*h**4 + 24*h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2142 - (2\/(-1) + 5 + -1). Suppose 2*d + h = -3*d - 5*o, -d - 398 = -5*o. Let k = d + 932. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -2\/11, -4, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by (-142)\/(-6) - 310\/186?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 12 + 33)*(-2 + 1 - 2)*(-1 + 1 + g).\nAnswer: -192*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(425))**2 - sqrt(34)\/(sqrt(6)\/sqrt(3)).\nAnswer: -sqrt(17) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.2 - -12. Let y = d + -27.6. Round y to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, 17, -0.07, 1, -0.03?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 54*w. Let c(l) = -304*l. Let s(z) = c(z) + 6*t(z). Let a(d) = -4*d**2 + 39. Calculate a(s(j)).\nAnswer: -1600*j**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 12 = -j. Let m = j + 7. Solve -l - 20 = -4*f, 2*f = l + 4*f - m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -20.5 and -1.2.\nAnswer: -21.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-5\/4))\/g)**42 assuming g is positive.\nAnswer: g**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j - 7*j + j in the form b + z*j and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1053) + -1)**2.\nAnswer: 18*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.5 + 9. Let j = 2.5 - f. Let o be 7\/(-4) + (1 - 0). What is the nearest to j in -1, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 148, 137, 112, 67, -4, -107?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49635?\nAnswer: 3, 5, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 2*h - h - 2*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 451 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 430.88668961 + -483.8866899. Let k = 33 + -86. Let g = k - m. What is g rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -8.1 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a kilogram in grams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 561283 and 596.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 10*w**5 - 26*w**4\/3 + 336*w - 245. Let k(i) be the first derivative of s(i). Find the third derivative of k(m) wrt m.\nAnswer: 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1 = -14. Suppose -g - r*f = 4*g - 5, -5*g - 2*f = -2. Solve c - 5 = g, -z - 3*c = -5*c + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4892912.9 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 31*o**2 - 59*o + 231. Let z be y(-33). Solve s - 21 + 23 = z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0.4 (c) -79.465094\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**5 + z**5 - z**5 + (-z + z + z**3)*(-10*z**2 + 3 + 8*z**2 + 5*z**2).\nAnswer: 6*z**5 + 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35604167?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/((-1*sqrt(30))\/sqrt(10) - sqrt(3)))\/(sqrt(18)\/(6*-3*sqrt(9) - sqrt(9))).\nAnswer: 19*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -324 - -512. Let v(o) = 2*o**2 + 23*o + 60. Let a be v(-3). Suppose 13*j - a*j = d. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/15 - (-6)\/((-90)\/(-1119)). Let b = -23 + f. Suppose -4*s + 281 = 5*n - 2*s, b = n - s. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 129\/9 - (-4)\/6. Suppose c = 2*m + m. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998970.6 millilitres to litres.\nAnswer: 998.9706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 435 = -5*f, -19 - 1 = 4*k. What is the greatest common divisor of f and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 65, 109, 175, 269?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 + 5*w**3 - w**3)*(32*w - 55*w + 29*w - 28 - 4*w + w - 2*w + (2 - 2 - 1)*(4*w - w - w)).\nAnswer: -w**4 - 28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 893181 to the power of 1\/2, to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 r, and 1 h when three letters picked without replacement from {p: 1, o: 1, i: 1, h: 1, b: 1, r: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (q - q + q)*(-4 + 2 + 1)*(-q**3 - q + q) + 40636*q**2 - 40634*q**2 - 2211*q**4 - 425*q**4 as s + z*q**3 + t*q**4 + x*q**2 + b*q and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqzzqzzqzqqq. What is prob of picking 4 q?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 + 4*t + 2. Let a be x(-3). Let r = -6 + a. Suppose -23 - 10 = -3*z. Calculate the smallest common multiple of r and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.767316 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 71 + 41. Suppose 31 + b = 15*m. Suppose 0 = s + 5*j - 123, -j + 2*j = -m*s + 341. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*a - 6*a - 9*a - 5*a - 5.\nAnswer: -a - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 483\/24161?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 4:18 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/8, 30, -48, -1, 2\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 174036 - 452129 = 158664. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**2 - 82048*g + 492216 = 0?\nAnswer: 6, 41018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 3a?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 10:24 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.08 + 0.08. Let j = g - -4.2. Let q = 0.2 - j. Put q, 2\/3, 5 in ascending order.\nAnswer: q, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 112*w + 265. Give c(109).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - 5*p - 17. Let q(z) = -13*z. Determine q(v(m)).\nAnswer: 26*m**2 + 65*m + 221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 17030*h**2 - 4619364*h + 18749808.\nAnswer: 2*(h - 8778)*(h - 4)*(h + 267)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17597003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**9\/5040 + o**7\/1260 - o**4\/4 + o. Let s(t) be the third derivative of m(t). Find the third derivative of s(l) wrt l.\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22065*b + 33464 wrt b.\nAnswer: 22065","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5083566?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 7) + 6 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**4\/7 + 251256*y**3 + 5276340*y**2\/7 - 16*y\/7 - 7035120\/7 = 0.\nAnswer: -439695, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1422*k - 9345. Calculate r(-7).\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfp when three letters picked without replacement from fipwxifxwigf?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-69 + 115 + 343 + (-6 + 3 + 2)*(2 + 0 - 1))*((-7*y + 2*y + 2*y)*(-2 - 1 + 1) - y + 2*y + 0*y) as g + f*y and give f.\nAnswer: 2716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*r - 30, 3*x = -2*x + 3*r + 82. Find the second derivative of -35*m + 21*m - m**2 + x*m**2 + 36*m wrt m.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6852 divided by 12?\nAnswer: -571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41508*i**3 + i**2 + 49*i + 10 wrt i.\nAnswer: -249048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4143214441 (base 5) to base 15.\nAnswer: -b443d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + 9*w - 8. Calculate b(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23130555 and 315.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43386?\nAnswer: 2, 3, 7, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -7. Suppose -5*z - 2*k + 37 = 0, -3*k - c = z - 0*z. Calculate the highest common factor of z and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*w - 9*w - 3*o, 0 = -2*w - 5*o. Solve -8*k + 16 + 8 = w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-96)\/(-18) + -5 - (-3363)\/9. Let j = k - 370. Let p = 43 + -28. Solve -j*z - p = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 2*r**2 + 2*r - 1. Let x be 4\/(-32) - (-135)\/(-8). What is the remainder when ((-1 - -1) + 1)\/((-1)\/x) is divided by q(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 576 = s + 35*s. Suppose 0 = -s*z + 9816 - 328. What is the remainder when z is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + (7 - (31 - 18)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -240, -491, -746, -1011, -1292, -1595, -1926?\n\"Answer: -k**3 + 4*k**2 - 256*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*c - 120 = -0*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -311003130 (base 4) in base 6?\nAnswer: -4354020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2156499, 2156503, 2156507?\n\"Answer: 4*j + 2156495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51.7 - -52. Which is the closest to 0? (a) -2 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1693335*v**5 - 6045670*v**2 wrt v.\nAnswer: 101600100*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-4*sqrt(1331) + sqrt(1331))*-1 - (0 + 4*sqrt(1331) + -5)) + -5)**2.\nAnswer: 5324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.361 - 0.039. Suppose 0 = -3*h + 10 - 1. Which is the closest to 2\/3? (a) 6 (b) q (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 24. Suppose 2*k - 5*u = 11, -k = -p*k - 2*u + 100. Suppose -4*j - 9 = -7*j + 3*v, 0 = 2*j + v - k. Which is smaller: j or 8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-80)\/(-12))\/((-1)\/12). Let j = 143 + r. Suppose l - 57 = -3*h + 4*h, -l + j = -3*h. What is the highest common divisor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59\/2 + 29. Put n, 3\/7, 3 in decreasing order.\nAnswer: 3, 3\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -164480 (b) -2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 - 41*x**2 + 19*x - 40. Suppose 0 = 2*v - 3*h + 60, 2*v + 3*h + 1 = -23. Calculate b(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9256359 a multiple of 996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107747, 107220, 106341, 105110, 103527, 101592?\nAnswer: 99305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*j + 586 - 199 = -701 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7546547 is divided by 1886621.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -204419380452090 and 0?\nAnswer: 204419380452090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 511443901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*j. Let s be -110471 - (j + -2)\/1. Let t = 350469 + s. What is t rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + (sqrt(63)\/(sqrt(9) - sqrt(9)*-2) + 3 + sqrt(343) - ((sqrt(343) + -1)**2 + -1)*4).\nAnswer: -1378 + 190*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 14 = 2*h, 6*r - 2*r = -2*h. Suppose 14 + 38 = r*m - 3*v, m = -3*v + 17. Calculate the remainder when m is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 + -1 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 19204 and 19204 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 41*n + 12. What is r(4)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -679, -2675, -6001, -10657?\n\"Answer: -665*r**2 - r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -499818, -499819, -499820, -499821, -499822, -499823?\nAnswer: -499824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r + 10, 4*x + 1068 = -4*r. Let w = 453 + x. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4.069 (b) 8 (c) -2 (d) 968\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 675624785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 259768.9l?\nAnswer: 259768900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, 2, 3, 1.\nAnswer: 1, 2, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 67\/4, -0.1, -0.6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19996755*d**2 - 136694780*d?\nAnswer: 39993510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2*v**2 + v)*(5 + 2 - 5) + (v + 2*v - v)*(0*v - 2*v + 0*v).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-6)*(-8)\/4*1. Let b be 0\/(1*(2 + l)). Is -10\/9 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 58\/(-12) + (-6)\/(-2)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22.11673 and -0.01.\nAnswer: -22.12673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 22 (b) 0.5 (c) -16 (d) -1\/4235 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -49096571121 and -12.\nAnswer: -49096571133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 149*f**2 - 4*f + f + 2 + 149*f**2 - 299*f**2. Determine c(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2884, 1\/3, 0.8?\nAnswer: 2884","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 14 = k + 3, -2*k - 28 = -5*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14638477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 14 = 2*j, -40*j - 5*p = -38*j + 10. Which is the second smallest value? (a) j (b) 1 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/14)\/(4\/(-70)). Let y = 15 + -13. Suppose f = -y*t + 7*t. Solve -2*h = -5*s - t*h, 5*s - 25 = h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 2. Let w(h) = 2*h - 3. Let i(t) = -4*q(t) + 3*w(t). Let x(z) = -6*z - 4. Let c be 2 + (-4)\/8 + 11\/2. Determine c*i(j) - 2*x(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -220*k + 660. Let y be f(3). Which is the nearest to y? (a) -5 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = 9*v. Let u = -47\/132 - 5\/264. Which is the closest to v? (a) 0.4 (b) u (c) 6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3059 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2007 - -7959\/4. Calculate the common denominator of -71\/10 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191 at least as big as 2191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6503 - -10366. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2. Let o be 3 + q + 1 - -3. Is 15 a factor of (-2)\/(3*o\/(-684))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqx. Give prob of sequence qxq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1474 and 389873.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/3047 + -265113\/24376. What is the common denominator of 75\/8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 207 - 16883?\nAnswer: -16676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 - 16*w**3 + 3*w**3 + 2*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i + 10. Let u(o) = 24*o - 81. Let w be (-28)\/(-42)*(-6 - 0). Let v(f) = w*u(f) - 33*p(f). Let b(t) = -1. Calculate 6*b(c) - v(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.76 times 152\nAnswer: -115.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5068 or -5072?\nAnswer: -5072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-12)*d*d**7*d*d)\/(d\/(d**(-6)\/d)*d**8\/d))**21 assuming d is positive.\nAnswer: d**(-357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 15 + 25. Suppose 0 = 2*a + y*a - 6522. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**4*t**(1\/8)\/t)**(-16\/7) assuming t is positive.\nAnswer: t**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(2 + -11) + 3 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6306201 and 297?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m. Let x(w) = 2991*w**2. Calculate q(x(a)).\nAnswer: -5982*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 152 = -36*v, -2*v + 1828*d - 1823*d - 104 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 2:15 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1470*p - 8585 = 1061*p + 4 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 1218560*f**2 + 92805529600*f.\nAnswer: 4*f*(f - 152320)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*b + 5*n + 48, -n = -3*b - 41. Suppose -o = -w + 2, o + 10 = -o + 4*w. Sort b, -1\/2, o in decreasing order.\nAnswer: o, -1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1822092 and -8\/879?\nAnswer: 533872956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.23505 days in microseconds?\nAnswer: 6932308320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8385, 26819, 45253, 63687?\nAnswer: 82121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 3*p**3 - 70010*p + 70010*p.\nAnswer: 3*p**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(114) + sqrt(114) + sqrt(114) + sqrt(114)*-1*-1 - (-5*(sqrt(114) + sqrt(114)*1) + sqrt(114)))\/(6*((sqrt(36) - 2*sqrt(36))\/sqrt(6) - sqrt(6))).\nAnswer: -13*sqrt(19)\/12 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, p: 5, l: 7}. What is prob of sequence lll?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + v - 2. Suppose -b + w - 6 = 0, -5*b + 3*w - 2*w - 26 = 0. What is the lowest common multiple of v and ((-4)\/8)\/(b\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 6)*(-2*m + 0*m + 4*m) - m + 2 + 0*m - 3.\nAnswer: 5*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*a + 46332 = -36*a + 178*a for a.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 372445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - -11) + -29 + 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 512856*x - 4102846. Calculate m(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500)*-1)\/((sqrt(132) - 2*sqrt(132))\/sqrt(11)).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37.76 - -37.77677. What is c rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1484, -4, -2, 5 in decreasing order.\nAnswer: 1484, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 + -7 + (-6 - -3) + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = f + 4*s, -3*s = -f + 6*f + 138. Let l = 31 + f. Sort 3, l, 13 in decreasing order.\nAnswer: 13, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*m - 90 = 37*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, k: 2, g: 1, i: 2}. Give prob of picking 2 k and 2 u.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/9)\/((-2)\/24). Suppose -c*p + 5*v - 3*v = -94, 5*p + v - 135 = 0. Calculate the remainder when 102 is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2242*w**2 + 8*w - 7397. Let v(r) = 2243*r**2 + 10*r - 7398. Let p(u) = -5*f(u) + 4*v(u). Differentiate p(x) wrt x.\nAnswer: -4476*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 9 = 2*y + 4*s, 0 = -5*y - s + 1. Let j(d) = -d**2 - d + 2. Give j(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5969 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 6*d + 43. Calculate b(-12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = -3*h. What is the second derivative of -5*l + 2*l - 3*l + h*l + 2*l**5 wrt l?\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0274239423 rounded to four decimal places?\nAnswer: 0.0274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -282387 less than -10448324\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**5 - 775*o**4 - 6*o**3 + 11*o**2 + 24*o - 3.\nAnswer: -60*o**2 - 18600*o - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11001011000?\nAnswer: 11001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/5)\/((-3)\/(-10)). Let w be 6\/u*(-2)\/3. Let p be (w + 0)\/((-1)\/3). Calculate the highest common factor of 12 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1*(-3 - (-2 - 1)))\/(111 + -107). Solve 10*k + 6*k - 64 = a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468 = -4*q - 420 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 555585.3 weeks to days.\nAnswer: 3889097.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 - 1 - -68) + 8 + 0.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s + 60. List the prime factors of g(7).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 14. Differentiate 3*h**4 + y + 0 - 6 wrt h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4667576 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2770)\/(-1385) - (-17)\/(-5)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2283.\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 0*o - 12. Let l(x) = 11*x - 4 + 3*x - o*x. Does 12 divide l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (7 - (24 - 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10433206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 948 divide 3549312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/16 and -69*((-3)\/(-8))\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44099447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2797 * -30.8\nAnswer: 86147.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 77 + 2 = -5*w, 0 = -3*w - h + 43. Suppose -2*f - 3*a + w = 0, -2*f + 2 = a - 4*a. Let 5 + 7 - 36*c**2 - 12*c - 16*c - f = 0. Calculate c.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5 = -4*p + 1, -2*y = -4*p + 12. Suppose 0 = p*q - 3275 - 1245. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u - 7*u - u + 2*u. Let f(r) = -9*r. Calculate f(o(j)).\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 14 + 6. Suppose 5*f = 5*v - 5, 0 = 2*v - f - r - 1. Suppose c = -m + 62 + 119, -v*m = -2*c - 718. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/3 - 12*b**4 + 358*b**3\/3 - 204*b**2 + 289*b\/3.\nAnswer: b*(b - 17)**2*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*c + 7 - 7.\nAnswer: 90*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqqe when four letters picked without replacement from eeqeqqeqqqee?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -14*q + 9. Solve d - q + 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239637 = 4*c - z, -17*z - 119816 = -2*c - 19*z. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 407 + -96. What are the prime factors of r?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 16*o**2 - 17*o + 5. Let i = 885 + -902. Suppose 3*t - 27 = 5*z, 3 = t - 4*z + 1. Calculate the remainder when t is divided by j(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 131 - 653\/5. Let c = -1.6 + 9.6. Let t = 7 - c. Which is smaller: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5163 bigger than 5148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**5\/f*f**(17\/5) assuming f is positive.\nAnswer: f**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -24*i + 6382. Is z(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/204*(10 - 8). Which is the third biggest value? (a) -4 (b) 8\/5 (c) 2 (d) w (e) 128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(704)*2.\nAnswer: -80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 396162717 a multiple of 409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-58.\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z - b = 19, 3*b + 9 = 3*z. Suppose -z = -3*f + f. Suppose -f*w + 5 = -3*w. Calculate the remainder when 13 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 1. Let n be 2 + (-21)\/7 + 3. Let b(h) = -34 - n*h**2 + 18 + 5*h - h**2 + h**2 + 18 - 2*h**3. Determine -b(k) - 2*m(k).\nAnswer: 2*k**3 + 2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 57\/2 of a gram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.07, -0.3, 11, 10, 6\/5, -194?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24061?\nAnswer: 24061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 4*n**2 + 3*n - 2. Suppose 0 = j - 3 - 1. Suppose -j*x = x - 20. Calculate the remainder when 18 is divided by v(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 3*w**2 + 7*w**2)*(5*w**2 - 5*w**2 + 2*w**2) + (4*w**3 + 0*w**3 - 2*w**3)*(1 + 2*w - 1)*(-203 + 669 + 808).\nAnswer: 5100*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*f + 60*f - 12*f)*(-3 + 3*f + 3) + (2*f + f - 5*f)*(2*f - 3 + 3) + 3*f - 3*f - 2*f**2 to the form m + i*f + c*f**2 and give c.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5468255.\nAnswer: 5, 13, 84127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12660, 12663, 12666, 12669?\n\"Answer: 3*x + 12657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 662\/74 + (-30)\/(-555). Solve q + 0 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72585596.\nAnswer: 2, 18146399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + 9. Let b be p(9). Suppose -v = -b*v. Solve -3*o + 6 = -v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -796*q = -793*q + 21, f - 2163 = 5*q. Is 31 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Suppose -2*l - d = -7, -3*l - q*l + 21 = -d. Solve -c - 4*c + 5 = -5*u, -2*c - 4 = l*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.9 + 3.3. Let i = -2.1 - h. Does 2 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 9:17 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154 - -158. Suppose -1 = -4*u + u - g, 4*u = -4*g + 4. Suppose u = 3*w - 16 - 8. Solve 2*v - t*v = 2*z - w, 5 = 5*z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - sqrt(66)\/sqrt(3))\/sqrt(11) - (sqrt(18))**2*-4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**1)**(3\/4)\/((m**0)**(2\/3)\/((m**3\/m)\/m**(2\/13))) assuming m is positive.\nAnswer: m**(24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.127, -4 in descending order.\nAnswer: 0, -0.127, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - q + 16. Suppose q*v = -8 + 28. Solve 4 + 11 = v*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 97202*s + 583220. Determine f(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 4*v**2 - 2597*v + 4. Let h(r) = -2*r**2 + 2. Determine c(p) - 2*h(p).\nAnswer: -p**3 - 2597*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 13761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -5 - (-253684)\/(-41590). Let p = 3\/8318 - v. Calculate the common denominator of -47\/22 and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*o**4 - o**2 - 4*o**4 + 0*o**4 - 6*o in the form y*o + t*o**4 + u*o**2 + p + d*o**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36913 is divided by 5270?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7895220 divided by 10905.\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25697 is divided by 8560?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 + -15) - (-7 - (-75 - -9)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 - g**4 - 2*g**4 + (3*g**2 + 0 + 0)*(-g + 3*g - 3*g)*(-3*g + 2*g + 3*g).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 12.9. Round j to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + -8.69?\nAnswer: -58.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 10) to base 7.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 244 divided by -580\nAnswer: -61\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002845681 to 6 dps.\nAnswer: 0.002846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*(45\/6)\/(-3).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 4*a - 2. Let q be s(-2). Determine n so that -2*n**3 + 7*n**3 - 3*n**2 - 7*n**q + 5*n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7102.038 rounded to the nearest 100?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(209)\/sqrt(11) + 2.\nAnswer: -1 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105.2 + -105. Which is the fourth smallest value? (a) -2\/3 (b) -1\/10 (c) m (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -275*n**5 - 4*n**4 + 1021*n**3 + n**2 - 8747287.\nAnswer: -16500*n**2 - 96*n + 6126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 71089.89 hours?\nAnswer: 4265393.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (871 - 871 + 11*n)*((0*n + 3*n - 2*n)*(-2 + 0 + 3) + n + 3*n - 6*n + (-n + 1 - 1)*(1 + 2 + 1)).\nAnswer: -55*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17.7 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 85\/(-5) + -1*(-1 + -1). Let y be (3\/(s\/(-16)))\/(28\/140). Let g = 388 - 212. What is the greatest common divisor of g and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*22\/3267*63.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 382*l**3 + 22*l. Let d(s) = -190*s**3 - 10*s. Determine 9*d(r) + 4*n(r).\nAnswer: -182*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 72498037663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/532)\/((-4)\/14).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -p + 3*l, -5763*l = -2*p - 5758*l - 2 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7839, 7845, 7861, 7893, 7947, 8029, 8145?\n\"Answer: o**3 - o**2 + 2*o + 7837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 4. Let x = 230\/3 - 76. What is the smallest value in x, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b. Let x(z) = -47*z**2 - 2. Determine o(x(u)).\nAnswer: 141*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9356393?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 8*v**2 - 12*v + 2. Let b be n(-9). Let t be -95*(3 + (-54)\/15). Let g = t - b. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13297603139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljclljd. Give prob of sequence jcjd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2990*g**6 + g**2 - 2*g - 39?\nAnswer: 358800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-159)\/126 + 23\/(69\/4). Let m(g) be the second derivative of 0 + x*g**4 + 2*g - 1\/105*g**6 - 2\/21*g**3 + 0*g**2 + 0*g**5. Factor m(l).\nAnswer: -2*l*(l - 1)**2*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j**2 + 2*j**2 + 0*j**2)*(-j - 2 + 2 + (3 + 3 - 4)*(4*j - 2*j + 2*j)) as b*j + m*j**2 + h*j**3 + r and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**2\/19 - 71062*s\/19 + 1002316 = 0?\nAnswer: -35797, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30607 and 26416?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -28*n**2 - 23*n**2 + 53*n**2. Let k(p) = 18*p**2. What is k(m(i))?\nAnswer: 72*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-276)\/690)\/(2\/(-300)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h - 1. Let j be u(-1). Let g(b) = 3 + 198*b**3 + 3*b - 3*b - 5*b + 0 - 6*b**2 - 199*b**3. Determine g(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 28807002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5581 or -5511?\nAnswer: -5511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zogoqodqzyzo. What is prob of picking 1 d and 1 z?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = h - k, 2*k - 4 = 4*k. Let z = -372 + 540. Calculate the greatest common factor of z and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 12*v - 6*v**2 + 2 - 12*v + v**3. Let k be h(6). Suppose -2*j + 11 = 3*f - j, 0 = f + k*j - 2. Let n(z) = z**3 - 3*z**2 - 6*z + 2. Give n(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 24. Let r(u) = 9*u**3 + 2*u**2 - 1. What is the remainder when y is divided by r(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 796 (base 11) to base 12\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*t**2 + 7*t**2 + 6*t**2 + 9*t**2 + 10*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -365657*i**3 - 281512 wrt i?\nAnswer: -1096971*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-1) - 8) + -3. Let i be (-5)\/(-10) + f\/(-2). Suppose -64 = r - 4*x + i*x, 3*r + 192 = 3*x. What is r rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -108.194655 to two dps.\nAnswer: -108.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = l - 212, -2*l + o - 115 = -535. Let x be l\/((-27490)\/(-6875) - 4). What is x rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from wgwwqgw.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in centimeters?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83*c*j - 1491243*c - 75804*j + 362 wrt c.\nAnswer: 83*j - 1491243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 736258400 to the nearest one million.\nAnswer: 736000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298.077948 minutes to weeks.\nAnswer: 0.029571225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15204*w - 47*w**4 - 7947*w - 7653*w - 255*w**4 wrt w?\nAnswer: -3624*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.70709ml in litres?\nAnswer: 0.03470709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2611974 to the power of 1\/2, to the nearest integer?\nAnswer: 1616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 278*x**5 + 21458*x**4 - 18433766*x**2.\nAnswer: 16680*x**2 + 514992*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + (sqrt(405) + (sqrt(405)*-1 - sqrt(405)))**2) + (1*sqrt(10)\/sqrt(2))**2 + sqrt(320) + 2 + sqrt(320) + 0 + 4.\nAnswer: -2024 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92135 divided by 18427?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 336 (base 9) to base 11\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*f**3 + 22*f**3 + 9715*f - 19427*f + 9710*f + 10*f**2 in the form d*f**3 + h*f + c*f**2 + n and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 205853873 to the power of 1\/2, to the nearest integer?\nAnswer: 14348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 10*q. Let s(j) = 1685*j**2 + 1665*j**2 - 3312*j**2. What is s(k(f))?\nAnswer: 3800*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4331489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -6, -152?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 14*t = 2266 - 6206. Solve -200*l + t*l - 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 16038?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 724204 and 40.\nAnswer: 7242040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/135 and -29\/135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 6*b**2 - 7*b - 7. Suppose -2*g = -4*g, -2*g = k - 8. What is the units digit of z(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 6. Let t(h) be the first derivative of h**2\/2 + 10. Let m(q) = 3*q + 2. What is g*m(y) - 2*t(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -9 (b) 1\/4 (c) -3\/190\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 4:07 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4353, 8787, 13233, 17691, 22161?\nAnswer: 26643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 61. Suppose 2*c = q*c - 68. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxd when four letters picked without replacement from xddxdx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 - 22*t**2 + 12*t + 2. What is w(10)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**3 + 3*c**2 - 6*c - 2. Let o(a) = -10*a**3 - 10*a**2 + 19*a + 7. Give 7*m(w) + 2*o(w).\nAnswer: w**3 + w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3*a**3 + 59561*a - 1 - 59561*a.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -118, -503, -1442, -3211, -6086, -10343, -16258?\n\"Answer: -46*s**3 - s**2 - 60*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1794 - 1699. What is the smallest value in -1\/2, d, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1460 by 365.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79274 is divided by 2594.\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8\/3, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from {j: 1, v: 3, a: 5, s: 1, n: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)\/(sqrt(7) + sqrt(35)\/sqrt(5)) - sqrt(14))*3)\/((-2*sqrt(18) - sqrt(2)) + sqrt(2) + sqrt(384)\/sqrt(12)).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -4*n + 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -269621742*p**2 - 3888700*p - 10?\nAnswer: -539243484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0021 + -44.6979. Let p = -43.7 - x. Sort 1\/2, p, 19, 1\/3 in decreasing order.\nAnswer: 19, p, 1\/2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 75894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c**3 + 12*c**3 + 18 - 25*c**3 + 4*c**3 - 12*c**2 + 4*c**2 as g*c**3 + r*c**2 + y + h*c and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 p when four letters picked without replacement from aappappnppan.\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2499933 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z - 2*z**2 + 12*z + 6*z.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*z**2 - 81890 + 81890.\nAnswer: 51*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5417 + 5638 = 17*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -11*d + 142. Let j be 4\/d*(-20)\/(-5). Let f(w) = -20*w**3 + 25*w**2 + 25*w + 25. Let s(h) = h**3 - h**2 - h - 1. Calculate j*f(o) + 25*s(o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2057\/7 - -60919\/210. Let d = 462587 + -4158157\/9. Let l = d - 20681\/36. Calculate the common denominator of l and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 294 = -4*j. What is the common denominator of -73\/20 and (-21)\/j*190\/(-6)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*r + 32 = 0, -6*d - 21 = -9*d + 4*r. Let o(t) = -3*t + 6. Let u be (1 + (1 - 3))*5. What is the remainder when o(u) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(810)*1*-4)\/(sqrt(128) + 6*(2*sqrt(128) - sqrt(128))).\nAnswer: -9*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/6)*m)\/(m**(-6)\/m)*(m*m*m*m*m*m*m**(1\/3)*m)**(-22) assuming m is positive.\nAnswer: m**(-307\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 621*(-278)\/78813*-21.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 5. Give g(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 995*m + 225167. Give t(348).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 12 = -3*u, -5*s = -2*u - 9. Suppose 0 = -3*q - 15, 0 = d - s*d + 4*q + 30. Suppose 250 = -d*a + 790. Does 34 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14\/77 - 350\/(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 1. Suppose -2*h + 6 = -0*h. Calculate z(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - 4.2. What is g rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 2*d + 2*d + (-5 - 1 + 4)*(3*d + 3*d - 4*d) - 605*d - 406 + 403 + 153*d + (2 - 5 + 1)*(5*d + 2*d - 5*d) to the form x + c*d and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6683 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 4*m + 6 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 4*h + 24, i + 5 - 4 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2*b = 3*j - 19, -2*j + 8 = b. Suppose 0 = -3*c - 3, 0 = -2*y + 3*y - c + 2. Sort y, -5, j in increasing order.\nAnswer: -5, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.17 (b) 8 (c) 296\/5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 747635 (base 9) to base 12\nAnswer: 195788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 + -4?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 7. Let f = -13 - -26. Let n = 18 - f. List the prime factors of b(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 3*i - 3*i)*(-67 - 16*i - 20*i + 33*i).\nAnswer: 3*i**2 + 67*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/(u\/(u\/(u**(1\/2)*u)))*u))**(-46\/5)*(u\/u**(2\/19))\/u**9 assuming u is positive.\nAnswer: u**(-2081\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 170527588 in decreasing order.\nAnswer: 170527588, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4752 = 2*b, -2*z - 6270 + 1518 = -2*b. Is b a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 102*c + 17. Give z(1).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4183?\nAnswer: 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*d**2 - 1 + 3*d - 5*d + 2*d to the form p + s*d + y*d**2 and give y.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 403 + -388. Put v, -2, 0 in decreasing order.\nAnswer: v, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 744702.3 decades to years.\nAnswer: 7447023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 26407 and 26408 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.9 - 12. Let x = 2.9 + n. Let g = x - 5.8000144. Round g to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -338.5 - -354. Which is the closest to 1? (a) 0.4 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -7. Let o be 3 + -3 - k\/(-8). Factor 1\/2*j**4 + 0 - o*j**2 + 1\/2*j**3 + 0*j - 1\/2*j**5.\nAnswer: -j**2*(j - 1)**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 735 and 15680.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*g - 4373 - 10963 = 0, g + 7672 = 2*d. Let q = -2285 + d. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 23*z + 0*z**3 - 1 + 0*z**2 + 107\/42*z**7 + 43\/12*z**4 + 0*z**5 + 0*z**6. Find the third derivative of l(h) wrt h.\nAnswer: 6420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - k - 15 = 4*u, u + 25 = -4*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.051 + 0.049. Let f = -5.6 - -6. Which is the closest to 2\/7? (a) -0.4 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3441 and 992.\nAnswer: 110112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3200 (base 5) to base 7\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49085 by 9817.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 258, 249, 240, 231?\n\"Answer: -9*h + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1035208342.\nAnswer: 2, 7, 73943453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 241*-1325387\nAnswer: -319418267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5531.16ug?\nAnswer: 0.00553116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 93*a + 743. Give r(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**5\/5 + 2*a**4\/3 - 2*a**3\/3 - 4*a**2 + 2*a + 28. Solve k(r) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/5 (b) -1 (c) -0.3 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 30 = -8. What is the remainder when c is divided by (24\/(-20))\/((-6)\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(20)\/sqrt(5)))\/(1*sqrt(72)) - (2 + (sqrt(704) - (0 + (sqrt(704) - (sqrt(704) + (-1*sqrt(704) + sqrt(704) - sqrt(704))))))))**2.\nAnswer: -2*sqrt(11)\/3 + 155\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*n + 3*g + 11 = 89*n, -2*n + 4*g = 12 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 346 + -171. What is the remainder when y is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 80 = 2*h, h + 0*u - 53 = -4*u. Suppose -3*b = 3*t - 45, -2*t - t = -2*b + h. Let k(o) = -b*o + 36*o - 20*o. Let g(v) = -38*v**2. What is k(g(l))?\nAnswer: 76*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 56 = -18*v + 70 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70560 and 270?\nAnswer: 211680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -273104912*c**2 - 1288894*c - 6 wrt c.\nAnswer: -546209824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (1 - 2) + (-9 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 3. Let j be l(0). Let n be (1 - -11)*2\/j. Let i(h) = h**3 - 8*h**2 + h - 4. Let z be i(n). Solve -z*x = -2*u - 2, 2*u - 3*x - 4 = -2*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 630903?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 5) to base 8\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/188 and 103\/278040?\nAnswer: 13067880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26261795 and 490.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832)*-1)**2 + -1 + sqrt(52)\/sqrt(4) - (2 + sqrt(1573))*3)*2.\nAnswer: -64*sqrt(13) + 1650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 12:59 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*sqrt(720)*2*3*-4)**2.\nAnswer: 3732480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -35\/32 (c) 0.37 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2363993 times -2\nAnswer: -4727986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 5*q**2 + 25*q - 5. Let j be p(8). Let z(t) = 7*t - 2*t - j*t - 8*t. Calculate z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5668 or -5662?\nAnswer: -5668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(-2\/41)*(n**(-1\/3))**(-38) assuming n is positive.\nAnswer: n**(1552\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -92 + 4. Let g = s + -12. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84\/13, 2601, 3.\nAnswer: -84\/13, 3, 2601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j - 7*j**2 - j**3 - 3*j**3 + 12 + j + 3*j**3. Let g be i(-8). Let o be (-6)\/g*(-40)\/(-12). Solve -o*a - 17 = -2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z - 1. Suppose -m + 6*m + 44 = c, -c = m + 10. Let q(j) = j**3 + 9*j**2 - j - 7. Let o be q(m). Suppose -o*d - 2*d - 4 = 0. Give v(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 18. Let j = 68.8 + q. Let r = j - 53. Which is greater: r or -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 48. Let k = m + 79. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(1\/13))**(-8\/9))**(16\/9))**28 assuming s is positive.\nAnswer: s**(-50176\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8868*p**3*x**3 + p**3 - 3*p**2 - 504*p*x**3 - 2*x**3 wrt p?\nAnswer: 53208*x**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 12*t + 36. Let x be c(-3). Solve -x*l = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-3) - (5 - -7). Let j = y + 13. What is the biggest value in j, -1\/4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p*p**(1\/9)\/p*p))\/(p\/((p\/p**3)\/p)))\/(p**(-1)*p\/((p**(2\/29)\/p)\/p)))**(1\/17) assuming p is positive.\nAnswer: p**(-1316\/4437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 4:11 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6\/5)\/((s**(16\/5)\/s)\/s) assuming s is positive.\nAnswer: s**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(72) + 4)*6)**2.\nAnswer: 2160*sqrt(2) + 3492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 2 + 3)*(-4*g + 4*g + g) + 2*g - 3*g + 2*g)*(-2 - 18 + 1) to the form n*g + y and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 2*o**2 - 3*o - 3. Let v be k(3). Let x be 33\/(-18)*v*-30. Find the common denominator of 9\/10 and 2\/(-10) - (-352)\/x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58268 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50920 by -1273.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1047 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28002*i = 27982*i. Let x = -27 - -16. Which is the nearest to 1\/7? (a) x (b) 3\/2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 6*w + 10. Let k be s(7). What is the biggest value in 2, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - -17) + -82 + 87.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10714 - 13553 + 6473)*(-3*b + 0 + 0).\nAnswer: -10902*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -15*v - 1. Let f = -5 - -4. What is the smallest common multiple of 6 and i(f)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10706.6 - -10706.7. Let f = 3 + -2.8. What is the nearest to z in 186, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98931113045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127851854?\nAnswer: 2, 13, 839, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5 + 9. Let j(q) = -q - 1. Let d(l) = 5*l + 3. Let t(v) = -d(v) - 4*j(v). Calculate the remainder when 23 is divided by t(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**6\/90 + s**5\/20 - s**4\/6 - s**3\/3 - s. Let k(r) be the second derivative of x(r). Factor k(f).\nAnswer: 2*(f + 2)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 4:39 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 94*s**2. Let j(f) = -4*f. Determine j(x(n)).\nAnswer: -376*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 27301.01 millilitres?\nAnswer: 27.30101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 15 + 2 + (-1 + 4 - 2)*(2 - 2 + 1))*(8*u - 4 + 4).\nAnswer: -176*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*m**2 - 2815*m**2 - 89*m**2.\nAnswer: -2827*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from rcrsirsiicscrssrciir?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 57, 44, -313 in increasing order.\nAnswer: -313, 4, 44, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2567 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1870, -6, 5 in ascending order.\nAnswer: -1870, -6, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 1 + o + 2 + 2*o + 2*o**3. Let u(b) be the first derivative of 2*b - 17 + 0*b**3 + b**2 + 1\/2*b**4. What is -2*r(f) + 3*u(f)?\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 645*w - 637*w = 76408. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123507*j**3 + 107949*j**2?\nAnswer: -741042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 + -20. Calculate the remainder when 39 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6746 - 3*g + 2*g + 6785)*(-8*g + 8*g + g**2) as p*g + v + f*g**3 + o*g**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8402027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/3)\/(-5*(-1)\/105). Let d = z - -2. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 7*j + 7. Let x(i) = 5*i**2 + 29*i + 28. Let d(a) = -9*v(a) + 2*x(a). List the prime factors of d(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408*f - 3144 = -932*f. Let n(z) = -40*z**2 - 8 + 11*z**2 + 20*z - 5 - 4. Let p(b) = 10*b**2 - 7*b + 6. What is f*n(q) + 17*p(q)?\nAnswer: -4*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 31. Let d be a(-17). Let c(s) = -9 + 0*s - s**2 + 22*s**d - 7*s**2 - 19*s**3 + 8*s. What is the hundreds digit of c(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(2 + sqrt(147) + sqrt(147) + 3 + sqrt(147)) - (-3*sqrt(147) + 3 + -4)) + -3)**2.\nAnswer: 1428*sqrt(3) + 5581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from {o: 4, z: 2, q: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1586 greater than or equal to -1586?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2. Let g(b) = 5*b**2 - b - 2. Let i be g(2). Let z(w) = w**2 + 2*w**2 + 16 - i. Calculate h(z(y)).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 f when three letters picked without replacement from haffaahfhahfafj?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 5*a - 3. Let q = -3 + -16. Let h = q - -16. Calculate f(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven halves of a millennium?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31835272 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 35\/(-14)*(-22484)\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3572, -7552, -11532, -15512, -19492, -23472?\n\"Answer: -3980*y + 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 13. Let v(l) = 4*l**3 + 4*l**2. Let i(k) = 3*k**3 + 5*k**2. Let x = -6731 + 6735. Determine x*i(a) + y*v(a).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132 + 135. Let v be ((-4)\/w)\/((-5)\/120). Which is bigger: 30 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 16*z**2 - 73*z - 9. Let f be j(-10). Let m = f + -49. Calculate the remainder when 429 is divided by m.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rykrkrkkyyyk. What is prob of sequence kr?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 8187.\nAnswer: 32748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(126)\/(sqrt(2) + sqrt(2)*-4) - sqrt(63))*-4)**2.\nAnswer: -96*sqrt(7) + 1801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 q when four letters picked without replacement from {q: 4, d: 2, z: 5}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/180 and 71\/3116372.\nAnswer: 140236740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 14857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 25002.\nAnswer: 25002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 k, and 2 w when four letters picked without replacement from {k: 1, p: 9, n: 3, w: 5}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-7))\/(4\/28). Let p be -4*(z - 1) + 1. Is 103*(-1 + 5 + p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1126*r - 20638 = -53292 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(235\/285*-6 - -5). What is the highest common factor of 912 and w?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/7, 10, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*w**3 - 97*w**2 + 2*w**4 + 438*w + 489*w - 967*w + 41*w**2.\nAnswer: 2*w*(w - 10)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {s: 1, g: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 120 = -96 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 11*n = 5*n - 780, 3*w + 3*n - 435 = 0. Calculate the remainder when w is divided by 42.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1793 - 970. Let a = w + -266. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + ((-1 - -1) + (-20 - -26) - -8).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 277430.85 microseconds in hours?\nAnswer: 0.000077064125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-315)*5)\/(21\/(-196)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 569.65 + -602. Let q = c - -34. Let h = q + -0.38. What is h rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121394 by 34.\nAnswer: -60697\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**3 + 3*v**2 + 10*v - 7. Let j be g(5). Let n = 620 - j. Solve -n*x + 5 = -4*c - 9, -8 = x + c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64368 divided by 144?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnggnnngg. What is prob of sequence nn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1636*r - 822*r - 821*r + 1 + 3*r**2. Let h(y) = y**2 - y. Determine -5*h(q) + m(q).\nAnswer: -2*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -98, -142, -180?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -55 - 89. What is the tens digit of (-425 + 4)\/(-3 + l\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/390200 and 83\/39020?\nAnswer: 390200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p - 15. Give r(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 6:54 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-15))**(-4\/5) assuming o is positive.\nAnswer: o**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17130, 34212, 51248, 68238?\nAnswer: 85182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-1)\/3)\/(16\/96)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32268872 + -20638498. Suppose 3058466 + w = 3*b. Suppose 5*i + 11946280 - b = 0. Round i to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmbbuibimhiibm. What is prob of sequence bhmu?\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/313 and 50\/117.\nAnswer: 36621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 198414 divided by 1099?\nAnswer: 198414\/1099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edodccgt. What is prob of sequence te?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewh when three letters picked without replacement from ewh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(500) - (1*sqrt(60))\/sqrt(12)) + 4)*5.\nAnswer: 30 + 45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6814451657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -416.5 rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1697 and -1749?\nAnswer: -296.8053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -8*k + 5. Does 35 divide q(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8a - -5c3?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 7*r - 4*r - 9 = 0, 4*p - 2*r = -6. Suppose -5*c - 133 - 82 = p. Let k = c - -62. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4778, 5156, 5518, 5858, 6170, 6448?\n\"Answer: -g**3 - 2*g**2 + 391*g + 4390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5814865*c*f**3 - 848*c*f**2 - 7808*f**2 wrt f.\nAnswer: 34889190*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 12698.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 + -5.07. What is the smallest value in -1, p, -0.08?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -22*k**3 - 24*k**2 - 49*k - 9. What is the lowest common multiple of h(-3) and 1247?\nAnswer: 14964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/8)\/((j*((j**(-1\/5)*j)\/j*j*j)\/j)\/j*j))\/((j\/(j\/(j*j**2)))\/(j*j\/j**(-6))) assuming j is positive.\nAnswer: j**(133\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, s: 3, l: 1}. What is prob of sequence ssd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1104348 * 9\nAnswer: 0.9939132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -13*a**2 + 36*a + 7. Let o be s(3). Put o, 54, -1 in descending order.\nAnswer: 54, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 171 - 155. Suppose 10 = q*s - 11*s. Solve -z = s*z + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 1. Let p(z) = -4*z - 3. Let g(y) = 5*m(y) + p(y). Determine g(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8516797.\nAnswer: 8516797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 332 + -315351?\nAnswer: -315015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)*o)\/o*o**(-1\/3))\/((o\/o**(-3\/4))\/((o\/(o**8\/o)*o*o*o)\/o)) assuming o is positive.\nAnswer: o**(-85\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003117932 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/90320 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 5*f**2 - 4*f - 2. Let u be r(7). Suppose 5*s + 72 + u = 0. What are the prime factors of 1\/(1\/s*-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/174203 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i**4 + 5*i**3 - 3*i**2. Let o(s) = -64*s**4 - 44*s**3 + 28*s**2. Let l be 1389\/45 + -3 + (-4)\/(-30). Let g(m) = l*p(m) + 3*o(m). Factor g(c).\nAnswer: 4*c**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/11)*s**6*(s**(11\/2)\/s)\/s*s**(-9))**(1\/8))**(-13) assuming s is positive.\nAnswer: s**(-65\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m**3 + 2*m**2 - 1. Let a = 210 + -217. Let n(c) = 13*c**3 - 3*c**2 + 2. Determine a*w(f) - 4*n(f).\nAnswer: -3*f**3 - 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 10, 8, 4, -2, -10, -20?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 12, -16, 5 in increasing order.\nAnswer: -16, -10, -5, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1036*p + 14 + 10 + 1037*p)*(-1 + 4 + 15)*(2 + 0 - 4)*(1 + 3 - 1).\nAnswer: -108*p - 2592","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.357 * -16\nAnswer: 5.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 132*v + 10. Let l be h(-132). Let c(r) = 2*r**2 - 19*r - 8. Calculate c(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**2 - 2*w - 54. What is y(-6)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1608 and 5023794.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 161747086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5.565 (b) 3\/5 (c) -31 (d) -0.015\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * 1104247.\nAnswer: 11042.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220120002100 (base 3) in base 12?\nAnswer: -626a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*(-123)\/(-205).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*z, -6 = -j + 4*z - 0*z. Suppose -1078 + 286 = -24*w. Suppose -3*u = -4*v - w, 0*v + 42 = 3*u - v. Calculate the least common multiple of u and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -47, -58, -73, -92, -115?\n\"Answer: -2*l**2 - 5*l - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/22 and -85\/318?\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**2. Let r(q) = 388092*q. What is a(r(d))?\nAnswer: 903692402784*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36 + 4*n**2 + 6*n**2 + 6*n**2 + 14*n - 19*n**2 wrt n?\nAnswer: -6*n + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2987\/10 + -296. Is t smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 8. Let y be d(-7). Suppose 13*s = y*s + 24. Is -13 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6550306 (base 7) to base 6\nAnswer: 25105211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 39.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -3 (c) 0 (d) -2 (e) -5 (f) 869 (g) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2*57\/2)\/((43490\/(-26094))\/(20\/6))\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*d + 53 = 543 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -256 - -564. Is i a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -4 + (-2 - (-108 - 0)). Let h = q + -723\/7. Find the common denominator of 4\/17 and h.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6\/5, 0.3, -0.1, 1, 12058.4 in decreasing order.\nAnswer: 12058.4, 6\/5, 1, 0.3, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 v when four letters picked without replacement from avavaava?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -4. Suppose 3*f = 4*a + 589 + 568, w = 4*a + 8. Let m = -4217\/11 + f. Calculate the common denominator of m and 39\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49668?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = -4*i - 5*i. Let s = i + -56. Which is bigger: -13 or s?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-189))\/(3302\/(-1778))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 8. Suppose t + 3*t - 9 = b, -2*b + g = 4*t. Solve 15 = -t*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*f**2*g**2 + f**2*g + 121*f**2 + 22834*f*g**5 - 121*f - g wrt g?\nAnswer: 62*f**2 + 456680*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -274 - -279. Solve -q + c - 6 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 + (177\/18 - 3) and ((-38)\/(-34))\/(-5 - -8).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 389008 and 3.\nAnswer: 1167024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-14))\/1*8*(-35)\/30\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31207700 is divided by 621?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8077.6367353 - -0.2\nAnswer: -8077.4367353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 796*i + 24007 + 3398 = -219*i for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/((-35 - 55)\/180)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 672?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 2206*g. Let v(o) = -3*o**2 + o**2 + 243*o - 164*o - 79*o. Calculate j(v(r)).\nAnswer: 8*r**4 + 4412*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((-22 - -4) + 36 - -3 - -21).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.1 (b) -87 (c) -91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zllnnlvlnlzlvnvln. What is prob of sequence vvl?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 146987100 to the nearest 1000000.\nAnswer: 147000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, u: 4, y: 2}. What is prob of sequence yuu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 261 + -255. Let q = 343 - 358. Is q < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -24 - (-590 - -633)) + 57\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1042584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 6*v = 10. Let y(s) be the first derivative of 1\/2*s**2 + v + 2*s. What is the derivative of y(q) wrt q?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -438*q**2 - 3321?\nAnswer: -876*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*n = -5*r + 26, 3*n + 28 = 5*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58c30a (base 14) to base 11.\nAnswer: 178a512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/9 - (-5)\/3. Let p(f) be the second derivative of -2*f**3\/3 - f**2 + 3*f. Let t be p(-1). Solve 0 = 4*k - v - w*v - 9, -4*k + 14 = t*v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k**2 + 4*k - 3. Let p(a) = -a**2 + a - 1. Let y(s) = -s**3 + 5*s**2 - 6*s + 5. Let g be y(5). Let v = 24 + g. Give v*r(m) + 5*p(m).\nAnswer: m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.067 - 0.084. What is the biggest value in 4, t, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-6)*(-28)\/21. Let d(b) = 3*b**3 - 2*b**2 - 3*b + 2. Let i(o) = -13*o**3 + 9*o**2 + 13*o - 9. Calculate g*i(k) - 9*d(k).\nAnswer: -k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 - -93. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4152, 16627, 37418, 66525?\nAnswer: 103948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 7190.\nAnswer: 28760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-14))\/z*z**0)**(1\/7)*(z**11\/(z\/(z**(-14)\/z)))**(-24) assuming z is positive.\nAnswer: z**122","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10436*v + 10437*v = 5*i + 21, -5*i - 13 = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11757 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008451538026 rounded to 4 decimal places?\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 25, 4*n - 327 = -2*g + 831. List the prime factors of n.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95367634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*b + 22 = 0, 4*b - 16 = n - 3*n. Suppose -z + 3*z + 114 = 3*l, 2*z = -n*l + 66. Calculate the remainder when 71 is divided by l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (70\/20)\/((-2)\/(-4) + -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5165120655 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(704) + -2 + sqrt(11) + sqrt(33)\/sqrt(3).\nAnswer: -2 + 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 1)*(-14*w - 22*w + 20*w) in the form y + f*w and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13376093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 235 and 93915.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/4)\/((-4)\/(-16)). Let j be m\/4*18\/(-15). Suppose 0 = -3*s + 2 + 4. Solve -r = -2*o - j, 4*r - s*r - 9 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.41215 rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3533 + -191180033.7.\nAnswer: -191176500.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/589480 and -169\/3536880.\nAnswer: 3536880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2 + 2*c - 5. Let z(o) = 3*o**2 + 2*o - 4. Suppose 5*w + 18 = 2*w. Determine w*z(r) + 5*x(r).\nAnswer: 2*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010914 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 222344 + 313330?\nAnswer: 1041224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6903387 kilometers to nanometers.\nAnswer: 690338700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 4*s**2 - 3*s + 2. Let b be l(-4). Let y = b - 3. Suppose 68 = 4*f - 0*f + 4*w, -y = -f - 3*w. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6*(-9)\/(-135))\/((-176)\/(-220)))\/(34\/(-8))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1470304189414.826 + 1469708657515.5260121. Let w = 595532154.3 + y. Let z = -255 + w. What is z rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.7 - 10. Let r = k - 0.1. What is the second smallest value in -3\/7, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 616.549ml to litres.\nAnswer: 0.616549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000361 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - -24. Suppose -x + 4*h = -h - 67, 17 = x + 5*h. Suppose -4*o + 319 = -3*j, -o + 112 - x = -4*j. Calculate the remainder when o is divided by y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5233609.\nAnswer: 41, 127649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 43*p**2 - 39*p - 127. Let m be k(42). Let s(z) = -503*z**3 + 3*z**2 - z. Is s(m) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -13. Suppose -b*i - 1285 = -10*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133 - p**3 + 257 + 567*p**4 - 124 + p to the form n*p**3 + i + k*p**2 + x*p + j*p**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/4, -54, -1, 5056.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/100)\/((-47)\/(-141)*3\/4)\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 4. Let o be a(-2). Let v(b) be the third derivative of b**4\/12 + b**3\/3 + 2*b**2. Let x be v(3). Solve 0 = -o*l + 4*l - x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226705551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*r**5 + 4442305*r**4 - 493375164280*r**3 + 5180029429560*r**2 - 8879673499200*r - 26639740134000 = 0. Calculate r.\nAnswer: -3\/2, 6, 222110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 12:45 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 - 3*z**2 - 25. Let g(s) = -5. Determine 5*g(u) - w(u).\nAnswer: -2*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2726593 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 2170*a**2 - 4280*a + 17280.\nAnswer: -5*(a - 2)*(a + 4)*(a + 432)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1127\/102 equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 + -4.9. Let c = t - -3.7. Let q = 27 + -26. Sort q, 0.1, c in ascending order.\nAnswer: c, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 11 = -m. Solve n - m + 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l + 20. Let f be q(-3). Suppose -2*z + 3*z = -2*w + f, 5*w = z - 67. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.307284 to 3 decimal places.\nAnswer: -18.307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 25 = -3*c - 5*q, 3*c - 2*q = 9. Solve -5*i = -x + 7, c*i - 1 = 2*x - 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.026049+-49\nAnswer: -50.026049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -13\/22*q**4 + 169\/11*q**3 + 1 - 14*q + 1\/110*q**5 - 2197\/11*q**2. Find y, given that l(y) = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-864)\/64*4)\/(-22))\/(3\/(-2))?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-586 + 586 + 487*t)*(3 - 3 + t)*(4*t - 5*t + 0*t).\nAnswer: -487*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 14*v**5\/5 - 38*v**4\/3 + 43*v**3\/3 - 2*v**2 - 35. Let r(x) = 2*x**3 - 1. Let l(q) = 10*r(q) - w(q). Factor l(u).\nAnswer: 4*(u - 6)*(u - 2)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k + 42*k**3 - 36*k**3 - 7*k**2 + 13*k. Let t(r) = -3*r**3 + 3*r**2 - 3*r. Suppose -2*z - 7 = -z. Calculate z*t(q) - 3*x(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 8*o - 7. Calculate l(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - u - 1, -2*j = -0*j + 5*u - 31. Put -4, 2, 15, j, 4 in ascending order.\nAnswer: -4, 2, j, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**5\/20 + 5*k**4\/12 + k**3\/2 - k. Suppose -2*b - 2 = -b + 3*r, 3*b - 2*r + 28 = 0. Let w = 4 + b. Determine j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1984 and 89\/128416?\nAnswer: 7961792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z + 25*z**2 - 2 - 24*z**2 + 6*z + 0*z**2 - 30*z**2 + 3*z**2 + (0 + 3 - 4)*(0*z**2 + z**2 - 3*z**2).\nAnswer: -24*z**2 + 11*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 - -633063?\nAnswer: 633125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 2, 12, 22, 32, 42?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**9*r**(-8)*(r**1*r)**(-18\/5))**(-4))**33 assuming r is positive.\nAnswer: r**(4092\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -5\/24*d**4 + 0*d + 30 + 1\/3*d**3 + 11\/2*d**2 + 1\/60*d**5. Let o(k) be the second derivative of n(k). Determine o(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, 1\/4, 300?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 7. Let o be t(8). Let j = 57\/11 - 1003\/132. Let a = 11\/4 + j. Is o smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6 and -12003217227.7462.\nAnswer: -12003217227.1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 63*a**2 - 2*a. Let k(y) = -516*y**2. Calculate r(k(v)).\nAnswer: 16774128*v**4 + 1032*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4401, 8025, 11649?\nAnswer: 15273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) 591940 (c) -91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-3))\/(2\/36). Let w = k - 4. Find the second derivative of 3*q - 59*q**w + 4*q**3 + 59*q**2 wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovc when three letters picked without replacement from {o: 1, v: 1, q: 2, c: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 27. What are the prime factors of -6 - -38 - s\/(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 25824?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.26204 rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**2\/2 + 6*p + 7. Let x be q(-4). What is the greatest common factor of 25 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 - 4a18?\nAnswer: -4a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -14. Solve -g*j = -3*j + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1496, 1, -2 in descending order.\nAnswer: 1, -2, -1496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -227 in 0.2, 76, -0.1, -9, -2\/7?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrbhr. What is prob of sequence hrrr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*p + 3*x - 28, -2*p + 12 = 2*x. Suppose 0 = -f + p*f - 2*k - 4, 0 = 3*k - 3. Suppose -f*z + 444 = -0*z. What are the prime factors of z?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -215*f - 125*f + 212*f as r + x*f and give x.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 15*j. Let h(p) be the first derivative of -3*p**2\/2 + 51. What is h(a(u))?\nAnswer: -45*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 18*z + 424. What is m(-24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 20. Let h be (-2)\/(-2) + (-13 - b). Is ((-21)\/2)\/(h\/(-4)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*v + 2*v**2 - 32*v - 25*v + 9*v**2 - 8*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (276\/48)\/((-1)\/4). Let u = 54 + m. Let b = 16 - -16. Which is smaller: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -32190*d - 289707. Calculate v(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4618*g - 96 = -4610*g. Let q(s) = -25*s**3 - 5*s**2 + 1. Let d(h) = 62*h**3 + 12*h**2 - 2. Calculate g*q(p) - 5*d(p).\nAnswer: -10*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -140\/3*v + 1225\/3 + 4\/3*v**2.\nAnswer: (2*v - 35)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16009181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 168439293 a multiple of 1245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*l**2 + l**3 + 76*l**2 - 3*l**3 + 29*l**2.\nAnswer: -2*l**3 + 75*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5 - 5. Suppose -2*c = -5*q + 48, 3*c + 6 = -6. Suppose 0 = 2*b - q, 5*s - p = 4*b - 3. Solve 0*t = -s*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 854 + -55?\nAnswer: 7aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 541373 to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*2 + sqrt(11) + sqrt(11) + -1 - (-1 + sqrt(1100) + sqrt(44)))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*m + 1 + 395*m**2 + 49*m + 1 + 1649*m**2 in the form i + p*m**2 + u*m and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 x, and 1 s when four letters picked without replacement from {n: 2, s: 2, y: 4, x: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times -206.83?\nAnswer: -3722.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2862266 times 21?\nAnswer: -60107586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 1, b: 1, u: 1, w: 1}. What is prob of sequence vw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0065384ml to litres.\nAnswer: 0.0000065384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 102\/51*(0 + 28). Suppose -749 = -63*a + y*a. Is 107 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 45*v = -9*v - 1394514. List the prime factors of v.\nAnswer: 2, 3, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138426339 by -239907.\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1.4. Let a = -2934503021\/910 - -3224728. Let r = 1\/182 - a. Sort u, -2\/9, r.\nAnswer: -2\/9, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (26 - 54 - -25) - -31.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i + 2 - 2*i**2 - 1\/3*i**3. Suppose 3*x + 7 = 2*q, 4*q + 1 = -0*x + x. Give p(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110112120010 (base 3) in base 11?\nAnswer: 159483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189 a factor of 39771822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/11)\/x**(-3))\/(x*x**17*x**(-11\/2)) assuming x is positive.\nAnswer: x**(-221\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 77.65237507 to 3 decimal places.\nAnswer: 77.652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 2340*g**3 - 59*g**2 - 26*g - 11373. What is the second derivative of j(a) wrt a?\nAnswer: 14040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**4 + 3*z**4 + z**4 + (-z**3 + 2*z**3 + 8*z**3)*(-z + 4*z - 2*z) + (-4*z + z + 2*z)*(-2*z**3 + 0 + 0) + 4 - z**4 - 4.\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3014.34 from -0.822.\nAnswer: -3015.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v + 2*v + v)*(5 + 7 + 1)*(0*v + v + v) as g + m*v + h*v**2 and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.453 + -0.547. Let o be (-3)\/1 + (-3 - -1). Put z, 5, o in descending order.\nAnswer: 5, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4 - (-33 + (-4340)\/(-120))*-21?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1956218 divided by -88919.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94 + 4. Suppose -3*g + y - 5 = 0. What is the remainder when g is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2219 + 4429 - 17*p - 2210.\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11101010 (base 2) to base 4\nAnswer: -3222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47143 - 17019. What is the thousands digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28\/7)\/((-4 + 3)\/(-1)). Suppose -j - u = -o, 2 = 5*o - 18. Is -11.3 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.7 (b) 16\/51 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) - 810\/20. Let b = l + 38. Let s = -6 + 2. Do s and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2 - 50)*(-96)\/336. Let g(h) = -43*h - 5. Let k be g(-5). Suppose -o - 2*o = -k. What is the highest common divisor of o and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wscyshcshhhwsehcw. What is prob of sequence hhe?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -388470, -1553890, -3496258, -6215574, -9711838, -13985050?\n\"Answer: -388474*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -9. Let v = c - 14.999949. Round v to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 12:36 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 50*c**2 + 96*c + 20. Let o be z(-48). Solve -8*q + o = 60 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1562, 6261, 14072, 24995?\n\"Answer: 1556*f**2 + 31*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2, 19, 1.33, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 23*n - 245. Let q(a) = a**2 - 11*a - 122. Let g(l) = -3*m(l) + 7*q(l). Let f(t) be the first derivative of g(t). Give f(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 86963.8329s?\nAnswer: 0.14378940625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s + 4 = -28*s + 5*y, -3*s = 25*y + 4 + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from hoohhhohhhhhohohhoo.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*i + 135 = -7*i, 3*i = -6. Suppose 5*a + h = 3*a + n, 5*h + 43 = 4*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 947294944 a multiple of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15434332*h**2*z + h**2 + z - 9317924 wrt h.\nAnswer: -30868664*h*z + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - ((-22 - (-14 + 3 + 4)) + 10)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 909 is divided by 290.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 11758 = -4*p, 0 = 6*z - 5*z + 2*p + 5867. Let n = z + 12678. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9*86\nAnswer: -163.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1261592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -39*z**3 + z**2 - 6*z - 6. Suppose 4*h + 3*c = 2, c + 3 = 5*h + 10. Let g be o(h). Suppose -3*t = y - 39, -2*t = 5*y - g + 1. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a + 161. Let p be w(-23). Suppose -4*g + 34 = 2*l - p*g, -5*g = -5*l + 40. Solve l*k = 7*k + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 10*w**2 + 26*w - 5. Let t(q) = 4*q**2 + 13*q - 3. Let n(z) = 3*f(z) - 7*t(z). What is n(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225769?\nAnswer: 225769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 2 + 29 + 4*r + (6 + 6 - 2)*(15 - 15 - 2*r) as u*r + d and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -12*v - 1003. What is k(-101)?\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/60 + 5*a**4\/24 + 7*a**3\/6 - 7*a**2. What is p(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -104 in -2\/5, -551, -2\/13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 423.5 + -423.502261. Round s to four dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566609941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/(-12) - 3)*(-10)\/1. Suppose n = 1 + j. What is the tens digit of (-2)\/n*(7 + -136)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 j when four letters picked without replacement from {z: 3, f: 3, o: 7, j: 1}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 2103?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 624917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (8944\/(-49192)*1\/(-12)*11)\/(11\/6)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -109 + 640. Calculate the remainder when p is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + 103. Let v = g - 45.4. Which is the closest to -2\/7? (a) 2\/27 (b) v (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 4. Calculate the greatest common factor of 56 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*q*w**2 - 88*d**2*q - 63633*d**2*w**2 + 32736*d*q*w**2 - 753*d*q*w - 2*w**2 wrt d.\nAnswer: 2*q*w**2 - 176*q - 127266*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*m - 3, -2*m = -3 - 1. Let p be (2\/3)\/((-8)\/f). Which is the second biggest value? (a) 0.07 (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -478530 by -2.\nAnswer: 239265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.635 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.3 - -1.5. What is the nearest to 0.2 in 4, -1\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -9*v**2 + 6139. Determine g(-26).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 26 = 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 76.2. Let d = -53 - q. Let z = 2 + -3. Which is the closest to d? (a) 6 (b) -1\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 14247 = -4*y. List the prime factors of y.\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2. Let v(u) = 4*u**2 + 26*u. Calculate t(v(k)).\nAnswer: 32*k**4 + 416*k**3 + 1352*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/10 and 137\/528.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*v + 23, 5*n = 6 + 19. Let q(r) = -r**2 - 2*r - 2. Let y be q(-2). Let c = y - v. Which is bigger: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-16))\/((-1)\/(-38172)). Let n be 67313\/(-4) - ((-9)\/(-12) + 0). Let m = n + b. Round m to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*h = -133*h + 30. Let l(r) be the second derivative of r**4\/12 - r**3\/6 - r**2 - 4*r. What is l(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10213100 (base 4) to base 15\nAnswer: -58eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 832 is divided by 125?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59999970 and 1938?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 + 11)*(-1 + 4). Suppose 0 = -n*q, -4*y - 2*q - 156 = -5*q. Let a = y + 58. Does 1\/2 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w + 26. Let a be p(7). Let y(z) be the third derivative of -z**4\/3 - 5*z**3\/6 - z**2. Is y(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**13\/(p**(-1\/3)\/p)**(-16)*((p\/(p**1*p))\/p)**(-13\/3)\/((p*p\/(p*p\/((p\/((p*p**(-3))\/p))\/p*p)))\/(p*p**(1\/6))) assuming p is positive.\nAnswer: p**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.3809949g?\nAnswer: 380994.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*j = -23, -r - 3*j + 6*j + 25 = 0. Solve -r*k + 42 = 49 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.3? (a) -1 (b) 95 (c) 0.1 (d) 0.4 (e) 4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33682*v**3 - 149102*v - 4 wrt v?\nAnswer: 202092*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.31 + 2.09. Let t = -433 + 430.6. Let d = m + t. Put d, 4, -0.5 in decreasing order.\nAnswer: 4, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368.6108 micrometers in nanometers?\nAnswer: 368610.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -403, -649, -895?\nAnswer: -1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2261, 1718, 1175, 632, 89, -454?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 55 + 367*n**3 + 799*n**3.\nAnswer: 1166*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, 8, 1\/3, -2378?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*j + j. Let t(f) be the third derivative of f**4\/12 - 7*f**3\/6 - 2*f**2. Let u be t(6). Solve 2 = b - 2*l - j, u*b + l = 22 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**4 - 42*u**3 - 2*u**2 + 42*u = 0.\nAnswer: -1, 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-206)\/4)\/(-1) - (-13)\/(-26). Suppose 3*w - 135 = -4*k, -2*k = -2*w - 27 - n. What is the highest common factor of k and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a + 49 - 49 in the form n + g*a and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 10. Calculate the remainder when 70 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(23\/1403) + -19)\/((-18)\/(-9))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-10)\/(k*k**(3\/2))*k\/k**(-2\/13)*k**(3\/7) assuming k is positive.\nAnswer: k**(-1987\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 11. Suppose 6*p = -2*d + 10*p + 30, 10 = -d - 3*p. Solve g = -x, 3 + 2 = d*g + t*x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, q: 1, t: 3}. Give prob of picking 1 d and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -4 + (-11)\/(-2). Sort -1, -3, -2, z.\nAnswer: -3, -2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-1\/8)\/u)*u)\/u**4*u\/((u\/(u**(-6)*u))\/u)*u**(-5) assuming u is positive.\nAnswer: u**(-79\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29286, 29289, 29294, 29301, 29310, 29321, 29334?\nAnswer: 29349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 161125 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-38919972)\/(-926289) + -42*1\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**3 - 45*f**2 - 208*f + 588 = 0.\nAnswer: -6, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 194, 258, 348, 464, 606, 774?\nAnswer: 968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 4*o - 55, 5*x + 7*o - 2*o = 10. Suppose x - 121 = -6*l. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.1 + 16. Let n = 1090 - 950. Which is smaller: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/8 or -4\/98083?\nAnswer: -4\/98083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2160 + 0?\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/6*30\/4. Let i = 75 + -18. Suppose b + 7 = i. Calculate the highest common divisor of b and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*s**2 + 60*s**2 - 73*s**2.\nAnswer: -87*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 5, -16, 6 in increasing order.\nAnswer: -16, -4, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1819 - 1824. Which is the third smallest value? (a) n (b) -2 (c) -36\/11 (d) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (747\/(-6) - 3)*(9 - 3). Let s be (-5)\/(-40) - f\/24. Let k be -4*-4*(0 - -1). What is the greatest common divisor of k and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86 and 286?\nAnswer: 12298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 5) to base 12.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 f when four letters picked without replacement from oofofff?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 611 and 18706.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.54 - 12.541305. Round c to five dps.\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -65, -55, -29, 19, 95, 205, 355?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jap when three letters picked without replacement from ddppadajpd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f - 45. Suppose 2*a + 54 = -5*m, 0 = -4*m - m + 2*a - 66. Let h be c(m). Calculate the common denominator of 23\/27 and (-11)\/2*12\/h.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 4*s + 3 - 21, -3*s + 5 = -5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1*(6 + -2) - (-36 + -1) and 21\/479.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111011111 - 10101?\nAnswer: -100111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -124658\nAnswer: 12465.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 1 = -2*q + 5*s, 3*q + 5*s = 1. Let y be ((-2)\/4)\/(1\/30). Let k = -133807 - -133803. Sort -1, y, q, k in decreasing order.\nAnswer: q, -1, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 145\/15 - 8\/(-6). Suppose 0 = -z*h + 1185 + 1059. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10790496 divided by -12.\nAnswer: -899208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + h - 6, 30*h - 33*h = -12. Solve 2*x + 2*g + 12 = -0, -2*x + j*g = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 271 + -269. Let a be (-66)\/(-12) - d\/4. Solve -5*m - a*w = 0, -5*m - 2*w - w = -2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from {e: 2, l: 1, m: 1, b: 9}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 1. Let j(x) = 3. Let l(y) = -3*g(y) + j(y). Let c(m) = -3*m. Determine c(l(t)).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-1) + 2*-2. Suppose -5*o - 10 = a*n, 3*o - 5*n = -o + 33. Suppose 4*r - m + o*m = 81, -2*m + 2 = 0. Solve -w - 4*w = r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 - 4 + 4 + (-2*h - 2*h**2 + 2*h)*(21*h**3 + 31*h**3 - 34*h**3) + (-2*h**5 - h**5 + 4*h**5)*(1 - 5 + 5).\nAnswer: -36*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 1762.2449.\nAnswer: 1759.2449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {x: 7, a: 2}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -92.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1262558 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*y - 10. Suppose 3*x - x - y = 0. Suppose x*u + 26 = 3*h - 30, -h = -4*u - 14. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i - 6. Suppose -b + 36 = b. Suppose -b + 3 = -3*d. Calculate the remainder when s(d) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 17*f**2 - 1021*f - 785*f + 1806*f.\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o = 268 - 93. Suppose 0 = -2*t - 5*z + 31, 2*t + 6*z - 11 = o*z. Solve -r - t*v + 3 = 0, 0 = r - 4*v - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 3, 2*f - 2 = 4*v + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 29\/5 of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 5*a + 3*v + 9, -4*v = 3*a + 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/(-4))\/4)\/(8\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**5 + o**5 + o**5 + (6*o**3 + 1 - 1)*(-3*o + 4*o + 2*o)*(3*o - o + 0*o).\nAnswer: 34*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*2*sqrt(684)*5 - (-5 + -5*-2*sqrt(684))))**2 + 2 + -3 + 0.\nAnswer: -720*sqrt(19) + 273608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*u + 8 + 2, 4*u = -5*o + 45. Suppose 2*s = -2*s - 12. Let c be (s - -3)\/(-3 + 1). Solve -o*d + 5*a = -c*d - 20, -4*d - a + 21 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 43527353.\nAnswer: 4\/43527353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (125\/75)\/((-330)\/18018)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108.7415474 - 87.74154686. Let w = v - 21. Round w to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*z - 2*u - 59, -4*u = -3*z + 42. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 248 = 243. Suppose 4*t - m*l = 2202 - 284, -2*t - 3*l = -948. What is the highest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -9. Let t(k) = -1 + 3*k**2 - k**2 + 4*k**a. List the prime factors of t(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-721)\/(-35) - (6\/(-15) - 0). Suppose 0 = -4*w + q + 927, 360 = -3*w - q + 1050. Calculate the greatest common divisor of w and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1254)\/38)\/(-33)*1)\/((-11)\/(-1))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -133 > 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18083 + -4096. List the prime factors of y.\nAnswer: 71, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -5. Suppose j + 4*t = 16, -2*t = -2*j - 5*t + 17. Is q at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2\/8 + 5885*a\/8 + 5887\/4 = 0.\nAnswer: -2, 5887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 1100 = 5*z. Let v = 2566 - 2550. What is the least common multiple of z and v?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 414.1 + -415. What is the third smallest value in 0.07, 1\/3, y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -n - 7*u - 11, 3*u = -6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(-1 + sqrt(343)))**2*6*4.\nAnswer: -1783296 + 72576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2142439 is divided by 688.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 106*o**3 + 3*o**2 + 11*o - 32. Is u(2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -117, -127, -115, -69, 23, 173, 393?\n\"Answer: 2*g**3 - g**2 - 21*g - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y**3\/6 + 10565*y**2\/6 + 5774*y + 1506 = 0. Calculate y.\nAnswer: -1506, -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 (base 5) in base 12?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + r - 4*r)*(4 + 0 - 2)*(6 - 2 - 3)*(0*r + r + 0*r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 340 + 4304?\nAnswer: 5044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99 - 141. Let x be ((-2)\/(-6))\/(7\/s). Suppose 6 = -3*l, 5*w + 0*w - 4*l = -12. Put x, 4, w in ascending order.\nAnswer: w, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4) + (4 - 0) - 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 33. Suppose -2*h - 4*q + 34 = 0, 4*h - 70 - 46 = 4*q. What is l(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/((-56)\/(-32) - 1). Suppose -u*a + 335 = -1009. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112056 - -132945.13?\nAnswer: 20889.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10129 - (232\/(-48) + 5\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a day in seconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000359665 rounded to six decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from avhqqqaqmmvm?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -76425342, -152850686, -229276030, -305701374?\n\"Answer: -76425344*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19, 35, 37, 19, -25, -101, -215, -373?\n\"Answer: -o**3 - o**2 + 26*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - z**2 - z**2)*(-z**2 - 3*z**2 + 2*z**2) + 4*z**4 + 3324*z**2 - 3324*z**2 + (-2 - 4 + 5)*(15*z**4 + 17*z**4 - 5*z**4).\nAnswer: -25*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -4*a - 1, 5*x - 10*x + 2*a + 23 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - 348*o**2 - 1095*o + 68808. Give u(176).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 4*x + 4*x)*((1 - 2*x - 1)*(4*x - 2*x - 4*x) + (2 + 2 - 3)*(-3*x + x**2 + 3*x)).\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 258.12 times -0.225?\nAnswer: -58.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -113340220 (base 7) to base 14\nAnswer: -d03780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 9:17 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -10 + 2 - 11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -379, -324, -255, -166, -51, 96?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 719 = -5*h + 751 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06093576777 to four dps.\nAnswer: 0.0609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-826)\/(-295)*-4*(41\/14 - 3).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3702, -9, -13 in descending order.\nAnswer: -9, -13, -3702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-182)*((-294)\/(-9))\/7\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -89631 - 10897. What are the prime factors of s\/8 + 253\/(-44) + 6?\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 - 72*y - 61. What is p(31)?\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.5683 times 3389\nAnswer: 5314.9687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:58 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - 3*519580\/15. Let u = g + 166726. Is ((-8)\/(-5))\/(-4) - u\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**3\/3 + 37*j**2\/2 + 92*j + 271. Is 27 a factor of d(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 22 - 8)*(m**3 + 2*m + 0*m**3 - 4*m).\nAnswer: 22*m**3 - 44*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-81)\/12)\/9)\/(54\/16)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -10, -88, 5, -1 in decreasing order.\nAnswer: 36, 5, -1, -10, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84496.\nAnswer: 2, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -r + 24. Suppose -2*m - m + 18 = 0. What is the smallest common multiple of r and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven sixths of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -391 - -183. Let u be 9*(f\/6)\/(-4). Calculate the highest common factor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 16*d + 420. Let i = 335 + d. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -21. Let g be ((-2 - -11)\/3)\/((-48)\/32). Let u(q) = -4*q + 4. Let o(m) = -m + 1. What is d*o(s) + g*u(s)?\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*b**5 - 96*b**4 - 28*b**3 + 2*b**2 - 6163*b - 13?\nAnswer: -3060*b**2 - 2304*b - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (107 - 13*q - q**2 + 40*q - 30*q)*(-2*q + 2*q + 2*q**2) to the form d*q**3 + w*q**4 + p + r*q + o*q**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26\/625 or 0?\nAnswer: -26\/625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v - 1241 - 1200 + 2441 + 17*v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -1. Let o be (0 - 1)\/(r\/(-34)). Let k = o + 39. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 684*u**3 + 31*u - 65. What is the thousands digit of y(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 640\/65 - 4\/(-26). Suppose h + 4*q - 35 = 0, -c = -4*q + 10. Let l be (h\/10)\/(9\/24). Solve 0 = -l*k + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4480\/48*1554\/(-370)*(-6)\/21\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 6:52 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 250*d + 214953*d**3 + 35*d - 1 - 214952*d**3 as w + j*d**2 + l*d + q*d**3 and give l.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 29 = 3*g, -1813*g - 30 = -2*w - 1815*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1412 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 9*s - 13*s + 67*s + 62*s to the form h*s**2 + f*s + c and give f.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56364590 and 1.4.\nAnswer: 78910426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*6\/(-5) + 8\/(-20). Find the common denominator of g - ((-8)\/12)\/((-20)\/(-93)) and 5\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 - 6806*q**2 + 6806*q**2 + 16*q**3.\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60157?\nAnswer: 43, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 1 - 4*f - 3\/2*f**2. Let c be r(-4). Solve 0 = 3*d - d + c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -5, 5, -7\/13, -4 in ascending order.\nAnswer: -5, -4, -5\/2, -7\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-5224)\/5)\/((-2274)\/(-60) - 38)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 + m**2 + 173*m + 186. Calculate h(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 9*s - 3. What is k(7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 7*q - 13. Let w be (-9)\/(-12) - (-33)\/4. Let n be j(w). Let z = 61\/2 + n. What is the second smallest value in z, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -2*r - 22, 10*c = 16493*r - 16497*r - 46 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -1. Let j be (-33)\/(-18) - (-4)\/24. Let m = -0.6 + 0.1. Sort z, m, j.\nAnswer: z, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.752 take away -2.1?\nAnswer: 14.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -6\/5 (b) -189.8 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, o: 1, z: 7, s: 2}. What is prob of sequence gs?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3 = 4*t, -2*j + 3*j + 1 = -3*t. Let h = 27.2 - 25. Let g = h - 0.2. What is the closest to 0.1 in j, g, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 24304212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6231*a**3 + 15*a**2 - 15*a + 15. Let g(s) = -6*s**3 - s**2 + s - 1. Calculate -15*g(l) - k(l).\nAnswer: -6141*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**7\/21 + t**4\/6 - 7*t. What is the third derivative of n(a) wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427095916 divided by -26?\nAnswer: -16426766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 2)*(3*s**4 - 2*s**2 + s**2 - 5*s**4).\nAnswer: 10*s**4 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a second in milliseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 2. Let z be h(5). Suppose z*n + 3*s = s - 16, -5*n + 5*s - 10 = 0. Let t be n\/(-6) + 471\/9. Round t to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 m, and 1 a when three letters picked without replacement from {a: 3, x: 2, m: 13, z: 1}.\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.596925 micrometers?\nAnswer: 0.000000000596925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1144 = -5*y + 3*t, 2*t - 464 = 2*y + 4*t. Let l = 2992\/13 + y. Which is the biggest value? (a) l (b) 4\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -31*j**2 - 7*j - 7. Let f(y) = -16*y**2 - 4*y - 4. What is 7*f(x) - 4*n(x)?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*c = -108*c - 30*c - 10982 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*l**4 + 264*l**3 + 393*l**2 + 114*l = 0. Calculate l.\nAnswer: -1, -2\/5, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 8*u - 29. Factor -21*l**4 - 3*l**3 + 2*l**5 + 21*l**2 - u*l**5 + 4*l**5.\nAnswer: 3*l**2*(l - 7)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149133?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5615737, 1, -0.03 in decreasing order.\nAnswer: 5615737, 1, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 75*x**2. Let i(h) = 12874*h**2 + 12. Determine i(c(y)).\nAnswer: 72416250*y**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 84. Is z a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*c**2 - 2\/9*c + 0.\nAnswer: -2*c*(2*c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, q: 4, p: 4, n: 3, j: 1, u: 1}. Give prob of sequence pp.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36b - -5606?\nAnswer: 5257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cco when three letters picked without replacement from {o: 6, c: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1962882.87?\nAnswer: -1962882.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by -149.\nAnswer: -43\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*r**2 + 2*r - 10*r**2 + 3*r + 9*r wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 + 7*s**2 + 6*s. Let m(f) = f**3 - f**2. Determine a(t) + 6*m(t).\nAnswer: 4*t**3 + t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/3)\/(2\/(-30)). Let k be f\/15 - (-13)\/3. Factor 0*x**3 + 2*x + 0*x**3 + 4 - 2*x**3 + 2*x**k - 6*x**2.\nAnswer: 2*(x - 2)*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 294 and 20?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i, -2*o + 4*i = -4*o + 8. Let n be (-2 + 7)*(o - -1). Solve -n + 17 = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 3255939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 2*f - 4. Let o(g) = 1. Let d be ((-20)\/6)\/((-55)\/66). Give d*o(i) + a(i).\nAnswer: -i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 1486464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 7. Suppose 50*k = -252 + 952. Let l = 6 - 6. Solve -o*s - k = -3*r, -r + 3*s = -l*s - 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5100, -20337, -45724, -81267, -126972, -182845, -248892, -325119?\n\"Answer: -h**3 - 5069*h**2 - 23*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3431514 and 13\/5147271.\nAnswer: 10294542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from crrrrrrcrrr?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((12\/45)\/(-4))\/((-176)\/10). Is 0 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-22)*-80*(-2)\/1*35\/(-175).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n\/((n\/n**(-2\/103))\/n))*n\/n**(-15)*n**(24\/7)*n*n**(-22) assuming n is positive.\nAnswer: n**(-398\/721)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + 117. Let p = 151 - k. Let a = 0 - 0. Sort a, 2, p in ascending order.\nAnswer: p, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 times -12\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2095 + 293?\nAnswer: -1902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1569 plus -1427992950?\nAnswer: -1427994519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -1.3. Let w = 385\/1376 - 51307\/53664. Let k = w - -1\/104. Which is the closest to k? (a) -0.2 (b) h (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1. Let d(s) = -7*s - 11. Determine d(n) + 6*z(n).\nAnswer: -7*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - r**2 + 2*r + 4. Let b be v(3). Suppose 1254 = -182*l + 3438. Let m be (6 - 3)*b\/l. Solve 2*h = -h + 3, 4*c = h + m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 343 + -353. What is the biggest value in 1, 1\/8, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4217189*d**3 - 3450675*d**2 + d wrt d.\nAnswer: -25303134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 5:44 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, n: 3, i: 6}. Give prob of sequence en.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + (-5772)\/(-715))\/((29\/10)\/(-29))\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 + 25 - 100 = -62*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (45 - -12) + -9 - (60 - 62)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -58*i**2 - 1589*i - 614. Give k(-27).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/7)\/(-2) - (-42)\/(-147)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-6))\/(5\/150*-4*495\/297)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 - i**2 + 2*i - 4. Let x be g(3). Let m = x + 35. Let n be -3 + 2 + -1 - m. Solve -4*l + 0*j = -2*j + n, j = -2*l - 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 + -55. Solve -z + m = 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 10*d**2 + 14*d + 6. Let j(t) = -19*t**2 - 14*t - 7. Let q(g) = -3*j(g) - 4*y(g). Factor q(x).\nAnswer: (x - 1)*(17*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 92 - 15*g + 90 - 178. Let m(h) = h**3 + 5*h**2 - 5*h + 9. Let t be m(-6). Determine j(t).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278418?\nAnswer: 2, 179, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3610477, -3610480, -3610485, -3610492, -3610501, -3610512?\nAnswer: -3610525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**3\/2 - 2*v**2 - v. Let t(j) = -203*j + 27. Let o(i) = -43*i + 2. Let x(a) = 5*o(a) - t(a). Give 9*d(f) - 2*x(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 + 1 - 4*d - 2 + 1 as c*d**2 + w + q*d and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**0\/m)**(-2\/19))**(13\/2))**(-41) assuming m is positive.\nAnswer: m**(-533\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*p = -0*p + 7*p + 188 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 268\/52 - 4\/26. Let j be d*((-16)\/(-20) - 0). Suppose j*z - 8*z = -172. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 10*y + 80. Let q be p(-8). Suppose q = -12*a + 77 + 43. Calculate the smallest common multiple of a and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**5\/9 - 47*p**4\/9 + 20*p**3 - 163*p**2\/9 - 164*p\/9 + 76\/3 = 0.\nAnswer: -1, 3\/2, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35955804?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 83324773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11.9650685 - 679420\nAnswer: -679431.9650685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 31. Let h = i + 17.07. Let y = h + 3.93. Which is greater: -0.3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -3*m**5\/20 + 7*m**3\/2 - 15*m**2 + 223*m. Differentiate u(s) with respect to s.\nAnswer: -9*s**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by (3 + (-6 - -1))\/(4\/(-56))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 3564560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 3*w + 2. Let n = -102 + 97. Calculate u(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1598 = -36*f + 34*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*v = 261*v - 962160. What are the prime factors of v?\nAnswer: 2, 5, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71011.\nAnswer: 71011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31453 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y**3 - 12*y**2. Let s(c) = 6*c**2 + 11*c**2 - 11*c**2 - 3*c**3. Let j(l) = 6*k(l) + 13*s(l). Factor j(x).\nAnswer: 3*x**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h - 4 = 0. What is the common denominator of 1\/h + (-26)\/(-10) and -1 + 1 + 80\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.02 - -4.52. Which is the fourth smallest value? (a) 0.66 (b) -0.2 (c) x (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1259\/3 or -421?\nAnswer: -1259\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c = 2*g - 7, 0 = -2*c - 6. Suppose 4*o - 16400000 = g*o. What is o rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 10*p**2 + 43*p + 440. Give a(-13).\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: c (base 14) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t = -8*t - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*w**2 + 71*w**2 + 4 - 356*w**2 + w**3 + 11 + 213*w**2.\nAnswer: w**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*x + 20 = 0, -2*u - u + 2*x = -5. Which is the third biggest value? (a) 2 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*a + 13*a + 5*a + 3*a + 13*a + 3*a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162 - 156 - (18 - 0)) + 19 + -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 4:16 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*x + 41 = -0*x, 3*x = r - 1. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.11 (b) 417 (c) 0.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/57 in 0.5, -1, -0.0906, 1\/4, -2\/11?\nAnswer: -0.0906","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 4)*(0*f + 3*f - 4*f)*(1872 - 921 - 889 - 24*f).\nAnswer: 48*f**2 - 124*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24679035.\nAnswer: 3, 5, 548423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*-1)\/((25\/20)\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5150 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 14, j: 1}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 744134157 by -299.\nAnswer: -2488743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xixxifixxxxfxxx. What is prob of sequence xf?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g - 12. Let t be j(8). Let k be 4\/6 - (-40)\/t. Let m be (-1)\/k + (-17)\/(-4). Solve -3*a + 11 = -m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 404.93 - 405. Let j = 231\/8 + -29. What is the closest to l in 2, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2197 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 7. Find f such that 2*f**5 + 4*f + f**4 - 10*f**3 + 4*f**5 + f**4 - 2*f**z = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 z when three letters picked without replacement from jllllzljlljlllzlleld?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -32, -35, -18, 25, 100, 213, 370?\nAnswer: 577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -b5aa0 (base 15) in base 6?\nAnswer: -20203210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 6*v**2 - 2*v + 65. Let p be k(7). Which is the closest to 0.1? (a) -0.3 (b) p (c) -7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**3 + 5427*s**2 + 5470*s + 42. What is p(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**5 + 6636*u**4 - 221852*u**3 + 1379332*u**2 + 8392224*u + 9386000 = 0.\nAnswer: -2, 19, 1625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462617 is divided by 608?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -r - 2*r - 32, 4*r + 38 = 2*j. Let v = r + 13. Let k = 0.03 - -1.97. Put 5, k, v in increasing order.\nAnswer: k, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7098?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 1:14 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 4, -6 in increasing order.\nAnswer: -6, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 47*k**2 + 4*k. Let p(g) = -47*g**2 - 5*g. Determine 5*h(m) + 4*p(m).\nAnswer: 47*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 29.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-8 + (29 - -2) + -4 - -37)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 - 113. Solve -3*d + 3*r = f, 0 = -d - 2*d - r + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 c, and 1 h when three letters picked without replacement from vhciarh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/118464165?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/14 + 1\/28. Let y = 205 + -205.2. What is the second biggest value in y, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2 - 7 + 0*i + 3*i. Let s be r(-7). Let o = -7 - s. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -199, -0.4, -6, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 2, i: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 682, 677, 672, 667?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 32 - (0 - (0 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 639296, 1278602, 1917924, 2557268, 3196640, 3836046, 4475492?\n\"Answer: t**3 + 2*t**2 + 639293*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 948001146 to the power of 1\/2, to the nearest integer?\nAnswer: 30790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i + 33 = 0. Let u be (4\/(-2) + 3)\/(1\/i). Suppose 0 = 2*q - u - 3. Calculate the greatest common divisor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 321 - 319.59. Let m = -1.351 + i. Let w = m - 0.059. Is 19 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*t + 863 = -519 + 696 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/325688 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -121341530 to the nearest 100000.\nAnswer: -121300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 + (17 - 3) + -6 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.914 - -0.896. Let h = 0.9386 - -0.0794. Let q = o + h. Which is the closest to 2\/3? (a) 4 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142 and 2346124.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 0*s + 4*s)*(-50 + 264 + 137).\nAnswer: -351*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 3*h**5\/5 + 3*h**4\/4 - h**3 - 3*h**2\/2 + 368. Solve d(m) = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*i - 640 = -224*i. Let z be 3 + ((-15)\/5 - -2). Solve -z*v = 2*v + i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 888762 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -731\/8 or -92?\nAnswer: -731\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 19*n**3 - 2*n**2 + 241*n + 1192. Determine k(-5).\nAnswer: -2438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-32))\/(5\/10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 1. Let p(i) = 10*i + 2. Let l(k) = -k. Let j(u) = -10*l(u) - 2*p(u). Give 3*j(r) - 14*t(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -1095.\nAnswer: 3285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/11 + 106837*g\/11 + 213678\/11.\nAnswer: -(g - 106839)*(g + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2*p**4 + 5 - 5 - 2*p**2)*(4*p + 11*p - 6*p).\nAnswer: -18*p**5 - 18*p**3 + 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + -48. Suppose 0 = 4*m + 4*z - 18 + 258, 4*m + 216 = 2*z. Which is the closest to -2\/5? (a) m (b) x (c) -0.5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6576, -54451, -184500, -437811, -855472, -1478571, -2348196?\nAnswer: -3505435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1\/2, 0.02, 167, 0.2 in decreasing order.\nAnswer: 167, 0.2, 0.02, -2\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddxxddddxxddddd. What is prob of picking 4 d?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -771 (b) 0.5 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x + 97. Let z be b(26). Let s = 296 - z. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -22. Suppose -4*t = -34 + d. Which is the smallest value? (a) 2 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = x + 7, 1 = 3*x + 4*n - 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 13*i - 11*i + 2)*(1 - 2*i - 1 - 2*i + 2*i - i + (-i + 0 + 0)*(0 - 2 + 3) + i + 5 - 5 - i - 2*i + 2*i) to the form r + o*i + s*i**2 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/7 + 6*j**3\/7 + 181*j**2\/7 + 90*j = 0. What is j?\nAnswer: -7, -5, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/296 (b) -3 (c) 3 (d) 3795\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u = 19*u + 1. Put 2, -3, u in decreasing order.\nAnswer: 2, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7302*f**2*m - 3*f**2 + 6*f*m - 6*f + 9385 wrt m?\nAnswer: -7302*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 4*d. Let y(r) be the second derivative of -1\/30*r**6 + 0*r**2 + 0 - 2*r + 0*r**5 + 1\/12*r**4 + d*r**3. Find p such that y(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f - 10*f + 36. Suppose -2*w = f*j - 26, -2*j + 19 = -4*w - 19. What is the greatest common factor of 240 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -652, -1364, -2062, -2740, -3392, -4012?\n\"Answer: t**3 + t**2 - 722*t + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-979) - 9204\/(-100659)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 725*u + 9*u + 13212 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -1\/2, 15120\/1411 in decreasing order.\nAnswer: 15120\/1411, -2\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5127*z**2 + 5031*z + 9. Calculate q(-1).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -185*d + 2477. Calculate i(11).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102603, -193614, -284625, -375636, -466647?\nAnswer: -557658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -44.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 827135 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74292 divided by -24.\nAnswer: 6191\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-364 + 369)*3\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3209028.\nAnswer: 2, 3, 267419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 436400566 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*h - 55. Let j(o) = 93*o**2 + 9*o + 5. Let k(l) = -23*l**2 - 2*l - 1. Determine h*j(r) - 9*k(r).\nAnswer: 21*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -37. Solve -2*s + 5 + 1 = 0, -b*c + 2*s - 15 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11211121212 (base 3) to base 10.\nAnswer: -95225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 340*w**2\/3 - 2035*w\/3 - 1210\/3.\nAnswer: -5*(w + 11)**2*(3*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**4\/12 - l**3\/6 - 4*l. Let q(f) = 6*f**2 - 21*f - 9. Let g(u) = q(u) + 3*w(u). Suppose g(z) = 0. What is z?\nAnswer: -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzo when three letters picked without replacement from dzoozzoodod?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -2.15.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.7 and -0.1?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35208 and 1479384?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -648?\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 5 + -4 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374680 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -117 + 120 - (2 + 31) - -46?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - 69*r + 654. Give h(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(13250\/828) - -1 - (-24)\/40.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)*-1)\/sqrt(6) - (-1*sqrt(720) + sqrt(5))) + sqrt(15)\/(sqrt(15)\/sqrt(5)) + sqrt(10)\/(-2*sqrt(2)).\nAnswer: 21*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 - 29. Let p = -55 + i. What is the highest common divisor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(13\/(-4))\/13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 17 = -7. Let x(h) = -1. Let k(o) = 15*o - 4. Let c(a) = l*x(a) - k(a). Is 14 a factor of c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -38 (b) 271 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 6. Suppose y - 14 = -y + 2*l, 0 = -k*l. Calculate the greatest common factor of y and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-22)*i*i)\/(i**(-1\/30)*i))**(-2\/67) assuming i is positive.\nAnswer: i**(599\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 2*x = l - 2, -2*l = -2*x - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5636? (a) 1 (b) -1 (c) -0.06 (d) 2\/9 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 - 41. What is the remainder when 68 is divided by o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**4 - 3970*f**3 + 15825*f**2 - 19760*f + 7900 = 0. Calculate f.\nAnswer: 1, 2, 790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.928 + 0.072. Which is the fourth smallest value? (a) 1 (b) -2\/5 (c) -1\/3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125701*k**3 - 5*k**2 + 53*k + 812?\nAnswer: -754206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5 = 0, 2*u + 4*a = 3*a + 111. Is u a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46271803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*c**4 + 2*c - 2*c)*(0 + 3 - 5) - 5*c**4 + 3*c**4 + 0*c**4)*(-5 - 1 + 3) - 2*c**4 + 0*c**2 + 0*c**2.\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 4*k**2 - 5*k + 5. Suppose -3*z + 2*d = -8, 0 = -z - 2*d + 1 + 7. Let v be f(z). Is 9 a factor of 6\/(-3) + 1 - v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*v + v**4 + 6*v**5 - v**5 - v**4 wrt v?\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**3 + 3*d**2 - 3. Determine a(-3).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1243*z + 137*z = 12936 - 91462 for z.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -88 times 35062.1\nAnswer: -3085464.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k = -57 - 19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 1 + 4 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5 + 42*i**4 - 54*i**3 - 444*i**2 - 543*i - 198.\nAnswer: -3*(i - 11)*(i - 6)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w - 5. Let x(j) = 9*j + 12. Let u(q) = 9*q + 16. Let m(r) = -5*u(r) + 6*x(r). Let k(v) = -8*l(v) + 5*m(v). Let n(c) = 5*c**2. Determine n(k(t)).\nAnswer: 125*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -334\/47?\nAnswer: -334\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*o - 11. Suppose -o = -5*d + 22. Solve d - 1 = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, 1, 20, 61, 130?\n\"Answer: s**3 + 2*s**2 - 10*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/621 and -7\/621.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/354*(-267)\/((-493950)\/370).\nAnswer: -1\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1\/4 (b) -51 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 = -h, 0 = -4*k - 4*h + 2*h + 8. Suppose 3*r + 9 = k*r. What is the smallest common multiple of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (13 + -16)*(-42 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258279842?\nAnswer: 2, 1777, 72673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13468 - 13466. What is the smallest value in -4, k, -0.3, 2\/433?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a00328 (base 12) to base 6.\nAnswer: -125202052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 101685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, p: 6, s: 6, j: 4}. Give prob of sequence djs.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - (-2 + -6 + 10 + -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2779, -2764, -2737, -2692, -2623, -2524, -2389, -2212?\nAnswer: -1987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 234\/135 + 10\/6. Factor -f*p + 4\/5 - 2\/5*p**2.\nAnswer: -2*(p - 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-170)\/(-17)*(-230)\/(-25). Calculate the highest common factor of 161 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 4*c - 14, 5*p = 4*c - c - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 202 + -67. What is the remainder when i is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 1. Let z be v(-1). Suppose -5*q = 2*r - 35, 5*r + 18 = -4*q + 46. Suppose z = -2*j + j + q. What is the remainder when j is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4807419 is divided by 6479.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 80*f**3 + 21*f**2*g + 2*f**2 - 8*f*g + 193*g + 1255 wrt f?\nAnswer: 240*f**2 + 42*f*g + 4*f - 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78804*l**3 + 67*l - 408?\nAnswer: -472824*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19354.7457 rounded to the nearest ten?\nAnswer: 19350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5658, 10064, 14470, 18876?\nAnswer: 23282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 9*a + 5*p = 25, 0 = 3*a + 4*p - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127969088 divided by -31992272.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1023)\/403)\/(5\/13).\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/22*(-1)\/(4\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1690 = 2*m + 2*d + 2*d, -5*d = 3*m - 2540. Calculate the highest common divisor of 45 and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -44?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (7 + -23 + 7) - (2 - 9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 + 909. Calculate the remainder when 3043 is divided by u(-17).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646448.\nAnswer: 2, 11, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3692554 = -105*m - 877294. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -15153182.3.\nAnswer: -15153184.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(5500) - ((sqrt(275) - 4*sqrt(275))\/sqrt(5) + sqrt(55)))\/(-4*sqrt(99)*-1*3).\nAnswer: -7*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/((-3)\/4). Suppose 0 = -5*k + 5 + 5. Let w = 114 + -110. Solve -k*s = -v + w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5469, -5501, -5547, -5613, -5705, -5829, -5991, -6197?\n\"Answer: -b**3 - b**2 - 22*b - 5445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 9*d + 3*p = -469, 2377 = 5*d + p. Calculate the greatest common divisor of 225 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7 - -4)*(-40 + 0 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 109*w - 38462. Give d(-149).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -753*m - 20303. Calculate o(-27).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 12. Let k = 188 - 200. Calculate s(k).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/8 + 0 - (-7 + 9)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8917159.\nAnswer: 8917159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 - 5742*c\/7 + 820.\nAnswer: 2*(c - 2870)*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0*c**2 + 4*c**2 - 7*c**2.\nAnswer: -3*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -0.14994, -8, -1\/7 in decreasing order.\nAnswer: 1\/4, -1\/7, -0.14994, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6 + 6*s - 1 - 2 - 4. Let b be w(1). Suppose 0 = 3*v + b*m - 145, 5*v + m - 219 = 30. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**4\/26 - 10*g**3\/39 - 2*g**2\/13 + 16*g\/13 + 811. Factor r(c).\nAnswer: -2*(c - 1)*(c + 2)*(c + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5212537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + 21. Calculate the remainder when 89 is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2791019473?\nAnswer: 11, 331, 766553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -i - 5*s, 150*i = 149*i - 7*s - 19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6 + 1300*s - 2563*s + s**2 + 1278*s. Calculate c(-14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 1. Let t(z) = -9*z + 14. Let f(c) = -5*c - 16. Let i be f(-4). Let j(q) = i*b(q) - t(q). Differentiate j(y) with respect to y.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-7)*(1 + 12\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -73221, -73078, -72935, -72792?\n\"Answer: 143*i - 73364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92 + (55 - (98 + 8)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -159, -239?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/8 - 1\/8. Let k = -77.19 + 1.19. Let m = 75 + k. Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*f**2 + 0*f + 1\/4*f**3 - 3\/4*f**4 + 0.\nAnswer: -f**2*(f - 1)*(3*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 74 = -0*v - v, 5*b + 160 = -2*v. What is the units digit of (-1370)\/v + (-2)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 5:15 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -322085 and 1.3.\nAnswer: -418710.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 0, -4, -366, 5, 1 in decreasing order.\nAnswer: 5, 4, 1, 0, -4, -5, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2175, -8783, -19805, -35241, -55091, -79355?\n\"Answer: -2207*q**2 + 13*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k\/k**2))\/k)\/k)**50)**(-14)\/(k**(-2)\/k*k**(3\/4)*k*k*k*k*k**(-5)*k\/(k*k*k*k**1\/k*k)) assuming k is positive.\nAnswer: k**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55.75327024 - -0.2.\nAnswer: 55.95327024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s - 9. Let h be m(-7). Let t = -2 - -7. Let x = t + -1. Which is the nearest to -0.1? (a) x (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieieiklijk. Give prob of picking 1 j, 1 i, and 1 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**5 - 6*c + 5*c + c**4 + 0*c**5 - 6 + 17*c**5 wrt c?\nAnswer: 360*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 20 = -3*k + 5*k, -4*i - 3*k = 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (9\/78)\/(35\/(-14))*(-30)\/(-1)\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6\/335, 4, -0.4, 0.5, 0.07 in ascending order.\nAnswer: -0.4, -6\/335, 0.07, 0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6\/11, -0.26, 1, 2\/9, -5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 475 divided by -31\nAnswer: -475\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3)\/c*c)**(-4\/5)\/(c\/c**0*c*c)**14 assuming c is positive.\nAnswer: c**(-638\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1390808 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/2*(-12)\/(-36). Let v(t) = -t**r + 3 + t + 7*t + 0 + 0. Calculate the remainder when 7 is divided by v(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**4 + 2*s**4 - 4*s**4)*(-595774 + 37*s + 595774 + 1005*s).\nAnswer: 2084*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-27))\/(7\/(-3))*-14. Suppose 6*s + g = 4*s. Let n be (s - (-59)\/12) + -9 + 6. Is 1 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from uzzzzu?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 42\/5 of a centimeter?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, 5, -85, -19, 1, -17 in ascending order.\nAnswer: -124, -85, -19, -17, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**1)\/j)**(1\/48)*j**4*j*(j*j**(-4)*j)\/j)\/(j**(2\/13)*j*j\/((j*j**(2\/11)*j*j)\/j)*j*j**4*j\/j**(2\/13)) assuming j is positive.\nAnswer: j**(-2027\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -12885 greater than 348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -238, -276, -320, -370?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*p - 3*r + 47, 35 = 5*p + 3*r. Let w(i) = -i**2 + 8*i - 2 - 2*i + 0*i**2. Let f be w(p). Solve -f = -4*j + 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 22*s + 7. Determine o(3).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 7*m + m. What are the prime factors of (-822)\/(-3) - (-15)\/m?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 14*v**3 + 5*v**2 + 6*v + 4. Let i be r(-2). Let m = 255 + i. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from {a: 1, x: 4, o: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*m + 9*m + 2*m**2 + (-2*m + 12*m + 2*m)*(m - m + 2*m).\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -11*b + 18*b + 58*b**2 + 10 + 8*b + 0. Let s be x(-10). What is s rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2201208509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 122\/14 - 4\/(-14). Suppose g = -s, 5*s - 9 = -0*s + 4*g. Suppose 5*b + y = 11, b + y - 2 = s. Solve -c - 2 = k, -k - u = b*k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-30) + (-72)\/(-30). Solve 2\/5*a + 0 + 6\/5*a**b = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 1106.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12*d - 2680 = -7*d, 2*d + 2692 = 4*u. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2220 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17756 and 8731320.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**3 - 7*m**2 - 6*m - 2. Let d be g(-4). Let j(h) = 79*h**3 - 2*h**2 - h + 1. Let l be j(-1). Let t = d + l. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2cb9 - 8?\nAnswer: 2cb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3946 divided by -185282.\nAnswer: 1973\/92641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -65*j + 537. Calculate the lowest common multiple of 6 and l(6).\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*o = 2*o + 12, -2*l - 2*o = 0. What is the remainder when -7*(0 - -1)*-1 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 14 + (-2 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 1\/1)*2. Let p be (10 + -70)*2\/(-5). Let w = p - o. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 858 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 2*a - 34. Let d be t(10). Is 47 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 8*h - 11 + (-3*h - h + 2*h)*(3 - 3 + 1) as r + n*h and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/71862 and 127\/4662?\nAnswer: 7976682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*a = -4, b + 5 = 2*b + 3*a. Suppose -b*x + 68 = -52. What is the greatest common factor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 2*c**3\/33 - 8*c**2\/11 + 24*c\/11 - 2043. Determine y so that d(y) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*i**3*q - 2462*i**3 + 139*q + 2 wrt q.\nAnswer: -19*i**3 + 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (10721*n - 21981*n + 10738*n)*(2*n - 5 + n - 2*n) in the form t*n + r + z*n**2 and give t.\nAnswer: 2610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from dgcddccdcdcgxggdgdg?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1695, 1703, 1743, 1833, 1991?\n\"Answer: 3*z**3 - 2*z**2 - 7*z + 1701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0 = -2*o + 8, -4*z - 3*o + 10 = 0. What is the greatest common divisor of z and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3355 and 2.\nAnswer: -0.671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*l = -u + 21, 3*u + 5*l = -35. Which is the smallest value? (a) 5 (b) 4\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 479 + 4439 = 0. Let c = y - 784. Let l(h) = 4*h - 4. Let n be l(3). Is c greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152961 times 0.06\nAnswer: 9177.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**3\/5 + 1015*o**2 + 16533*o\/5 + 3816\/5 = 0.\nAnswer: -3, -1\/4, 1272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20749139 - 2.1157.\nAnswer: -20749141.1157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 2*q + 2 + 0 - q. Let m be d(0). Solve 11 = -5*l + 3*w, 3*l - 5 = -m*w - 2*w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-8)*j\/(j\/((j**(-2\/19)\/j*j)\/j))*(j**(-1)\/j)\/(j**(2\/21)\/j))**(-2\/71) assuming j is positive.\nAnswer: j**(7342\/28329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27885 and 457875?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 8 = -3*y, 0 = 3*t + 2*y - 15. Suppose d + 10 = 4*x, 2 = 5*x - 3*x. What are the prime factors of 0 - d - (-3 + t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 - 507132?\nAnswer: -507152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14602 - 2968. List the prime factors of p.\nAnswer: 2, 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11232325 and 1900.\nAnswer: 44929300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554 - 582 = 14*z. Let b = -3 - -3.01. What is the second smallest value in z, b, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -522 (b) 1 (c) 3 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 6*f + f)*(-f**2 + 2*f**2 - 3*f**2) - 3*f**3 - 2*f**3 + 0*f**3 + (4 + f**2 - 4)*(1 - 2 + 3)*(-3*f + f - 3*f).\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 5206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*4\/(-16)*72\/1134.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 6 - ((-8)\/(-20))\/((-24)\/(-60)). Solve 1\/2*q + 3\/2*q**3 + 0 + 1\/2*q**x + 3\/2*q**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61160719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10*-1 + 3000\/(-13000).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -4) + 0 + -3 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -727179989*y**5 + y**2 + 95501359*y?\nAnswer: -43630799340*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*i - p - 3, 0 = -2*i + p + 2. Suppose 3*z - 4*z + 4 = i. Factor -4*t + 3*t**3 + 3*t**3 - 2*t**3 - 4*t**z - 3*t**2 + 7*t**2.\nAnswer: -4*t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 13. Let q be o - (-4 - -10)*-2. Suppose 4*l - 170 + q = 0. Calculate the remainder when l is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o**2 - 152*o - 804. Give f(35).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*z = -33, -5*l = z - 6*z + 45. Let n(s) = -s**2 - 6*s - 2. Let h be n(l). Suppose 0*w - w = -h. What is the smallest common multiple of w and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156276 divided by 6.\nAnswer: -26046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -13406.\nAnswer: -160872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*b**4 + 16*b**2 + 6112 wrt b?\nAnswer: 52*b**3 + 32*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -787\/2758 - 1\/2758. Which is the third biggest value? (a) i (b) -4\/7 (c) -2\/15 (d) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 = -3*b + 5*f, 3*b + 84 + 107 - 34 = f for b.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*t - 9 = -87*t. Solve -1\/2 - 3\/4*s**t + 1\/4*s + s**2 = 0 for s.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2091\/510 + (-28)\/8?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -27*z - 8. Let g(l) = 217*l + 63. Let p(y) = 6*g(y) + 49*j(y). Is 14 a factor of p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 2*x + 8. Let m(c) = -18*c**2 - 39*c - 153. Let p(f) = -6*m(f) - 117*y(f). Differentiate p(a) wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 18*r**2 - 11*r + 201. Determine t(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*q - q - 7, 0 = -5*j + q - 70. Let y = j + 13. What is the second derivative of -6*s**3 + 16*s + y*s**3 + 0*s**3 - 14*s wrt s?\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110 - -108. Which is the closest to -1\/3? (a) 0.3 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h**2 + 10*h - 13. Let r be (8\/(-16))\/((-2)\/(-44)). Is v(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/153, -0.09, -2447?\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 + -1 + (-17 - -21)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 1 + 5. Let q(m) = m**3 - 6*m**2 + 2*m - 9. Give q(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**6\/120 + u**5\/5 + 5*u**3\/6 - 11*u**2. Let i be o(12). Solve 0 = -h - 0*h + 4*a + 18, 22 = h - i*a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 10, -197, -584, -1211, -2138, -3425?\nAnswer: -5132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351153267?\nAnswer: 3, 251, 466339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 0.020646436443034.\nAnswer: -0.520646436443034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-81) + (-121)\/63 + 2\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 25. Let b = -2 + 5. What is the least common multiple of d and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -335 + -5812?\nAnswer: -6247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/126 and 29\/6198?\nAnswer: 130158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**5 + 3*f**4 + 27*f**3 - 27*f**2 = 0. Calculate f.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4802, 4717, 4566, 4343, 4042, 3657?\n\"Answer: -f**3 - 27*f**2 + 3*f + 4827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*0\/(-1) - (-40)\/4. Let u = -3.2 - -2.9. Put d, u, 1 in decreasing order.\nAnswer: d, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 148231826 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*o**3 - 453*o + 453*o)*(-4 + 6 - 1) + 1 - 1 - o**3 as u*o + r + g*o**3 + v*o**2 and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -107 divided by 107\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -608 = -118*v - 726 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + (-37 - -34) - -45) + 69\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 19464938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -111100101010000 (base 2) in base 3?\nAnswer: -1120121020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 7:07 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -679 - -2369. What is the highest common factor of 65 and m?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175 + -359. What is p rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2.5, 5, -63 in ascending order.\nAnswer: -63, -2.5, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - u**3 - 2*u**3 + u**2. Is v(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57829356?\nAnswer: 2, 3, 13, 41189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -11056861 and -99511738\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (-15 + 26 - -12).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-25)*40\/6. Let l = u - -12. Suppose 4*w - 4*b = 76, w + b - 89 = -l*w. What is w rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30892 times -38.18\nAnswer: -1179456.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raarvvvqqvrrvqqqr. Give prob of sequence qr.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 20 + 37 - 17. Let q(u) = -4*u**2 - u**2 + 4*u**2. Give q(y(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 336 = 9*z. Suppose 0 = 5*u - 2 - z. Calculate the remainder when (19\/(-3))\/((-2)\/6) is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 327999180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, m: 2}. What is prob of picking 1 m and 3 e?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 + 11*v**3 - 72*v**3 + 4200*v**2 - 4200*v**2.\nAnswer: -66*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72*h**3 + 78 - 57*h**3 + 163*h**3 with respect to h.\nAnswer: 102*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = -5*z - i, -4*i - 315 = -5*z - 9*i. Let s be 30\/99 + 21\/z. Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4755 = -q - j, 3*q + 2*j - 8672 - 5593 = 0. What are the prime factors of q?\nAnswer: 3, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16528856, 33057712, 49586568, 66115424?\n\"Answer: 16528856*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2256\/235 + (-104)\/65.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -13*a + 278. Let x(i) = 3*i**2 - 84*i + 21. Let z be x(28). Let h be g(z). Solve -h*s + 21 = -12*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 403. Let a be f(0). Suppose z + n + n = a, z + 3*n - 406 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccc. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.8949 equal to -0.10228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1697*s - 4273*s - 4299*s - 689*s - 4697*s**4 - 636*s wrt s?\nAnswer: -56364*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -10, 12, 54, 122, 222, 360, 542?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1395 + -1386. What is the remainder when 2535 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184461, 184397, 184357, 184347, 184373, 184441, 184557, 184727?\nAnswer: 184957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in -1\/2, 0.1, -3\/2, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9396 divided by 12.\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -58, 19, 0, 199 in descending order.\nAnswer: 199, 19, 0, -1, -3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 1)\/(2 - 1). Let r be (-3)\/23*12\/90. Let f = 44\/115 - r. Which is the second smallest value? (a) l (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*x**2 - 42*x**2 + 138*x**2 in the form c*x + f + d*x**2 and give d.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 114470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*v + 114*v + 62*v + 1 - 283*v + 42*v.\nAnswer: -22*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/15)*l*l**(-2\/13))\/(l*l*l**(-4)*l*l**0) assuming l is positive.\nAnswer: l**(334\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 66.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1147.33 and -609.6.\nAnswer: 537.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2533 and 833?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*o**2 - 35*o**2 + 2*o**3 + 6*o**3.\nAnswer: 8*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 11:44 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22323771 and 72.\nAnswer: 178590168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135075832.\nAnswer: 2, 16884479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = 3*s. Let f(n) = -2*n**3 - n**2 + 3*n + 2. Calculate the smallest common multiple of f(s) and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 14) + (21 - 9) - (2 + -38)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 62758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 257, 382, 503, 620, 733?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, l: 3}. Give prob of picking 4 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -41. Suppose -5*m + a*m = 76. Calculate the highest common factor of m and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14228105\/42 + 338744. Let j = t - 27\/14. Find the common denominator of j and 4\/(-10) + (-906)\/(-165).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**4 - 3966*a**2 - 4864*a - 2 wrt a?\nAnswer: 12*a**2 - 7932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -239 and 0.3.\nAnswer: -71.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = 6*o + 317. Let v = 72 + o. Let p(t) = -2*t**3 - 15*t**2 - 3. Let g(m) = m**3 + 8*m**2 + 2. Let w(s) = -7*g(s) - 4*p(s). Calculate w(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 6*y**2 - 10*y + 8. Let c be n(7). Let j = 14 + c. What is the third biggest value in -1\/4, j, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**6\/120 - d**5\/10 + 13*d**4\/24 - 7*d**3\/3 - 30*d**2 - 28*d. Determine j(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11.47, 0.1, -14779?\nAnswer: 11.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 z when two letters picked without replacement from zziibzbi.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 519 - 272 + b - 247.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5 - 16*x**4 - 44*x**3 - 24*x**2 = 0 for x.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + s - 4)*(-183 + 83 - 420 - 3*s**2).\nAnswer: -3*s**3 - 520*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 24 = 3*h + 3, -3 = 3*t - h + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 319713707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 0.1, -7\/16, -3?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -217 divided by 5\nAnswer: -217\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28257.\nAnswer: 3, 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 0*s + l - 5, -5*s + 19 = -l. Find the second derivative of 9*k**4 + 150*k**s - 79*k + 253*k + 78*k**4 wrt k.\nAnswer: 2844*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-19 + 20)*(587 + 1 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -872 + 41?\nAnswer: -831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*z + 29*z + 37*z.\nAnswer: 284*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 2*u - 1, 77510*n + 14 = 77514*n - 2*u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**3 + 315318*o**2 - 23665503*o + 23350182 = 0. What is o?\nAnswer: -105181, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682 - 660 = -122*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.8 - -2. Let y = 10 + -10. What is the nearest to -1 in 2\/3, y, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*v - 61*v + 9*v + 5*v + 33*v - 9*v - 57.\nAnswer: -v - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19653903 and 9?\nAnswer: 19653903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**5 + 12528*k**4 - 125376*k**3 + 50320*k**2 + 2106096*k - 3610944 = 0.\nAnswer: -12538, -4, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 7 = -11. Solve z = -v - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11, 34, 87, 182, 331?\n\"Answer: 2*n**3 + 3*n**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -11*y**6\/12 + y**5\/15 + 5*y**4\/12 + 8*y**2 + 1. Find the third derivative of k(z) wrt z.\nAnswer: -660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86 - ((-1)\/5 + (-90)\/50).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 0.01 (b) 2 (c) -0.5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(847) + -4)*4 + 5.\nAnswer: -11 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 880605 and 297?\nAnswer: 880605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/5*30\/48. Let i = 51\/40 + o. Let f = -1 + 1. Which is bigger: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.9691 - -0.0309. Let q = 6 - 8. Sort y, q, 3\/2 in decreasing order.\nAnswer: y, 3\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20179 by -2739.\nAnswer: 20179\/2739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*r + d, 3*r = -0*r - 3*d + 42. Let z = r + -4. Are z and 13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*q + 23*q - 98*q + 9 - 9 + 30*q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + x**2 + 0*x**2 - 58*x**3 + 3*x - 3*x in the form c*x + y*x**3 + i + w*x**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 4:25 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - -172a?\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3013302002 (base 5) in base 11?\nAnswer: -3424423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/2)\/o)**(2\/51))**(-2\/15) assuming o is positive.\nAnswer: o**(-2\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u - 35. Let r(z) = -3*z + 18. Let q = -10 + 6. Let c(o) = q*j(o) - 7*r(o). Let w be c(-11). Solve -4*p - 29 = 3*m, w*m + 2*p = -3 - 16 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0 = 5*h + 20, -2*h - 2 = 0. Let z be -12 - 4\/(9\/(-9)). Let o be (z\/(-5))\/(-4) - (-1404)\/135. Solve d*b = o, -5*w + 3*b + b - 13 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4760*l - 7024 - 87592 = 190713 + 62151 for l.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/6 smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-60)*38*(-7)\/109. Let g = 147339\/172220 - a. Find the common denominator of g and -9\/32.\nAnswer: 2528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c3e - -535?\nAnswer: -2709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -31.2, 1, -2, 0.9, -0.185?\nAnswer: -0.185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7193304*k + 7193304*k + 5*k**2. Let f(s) = 2*s + 4. Let l(m) be the third derivative of m**3\/6 + m**2. Let a(p) = -f(p) + 4*l(p). Determine a(r(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + sqrt(52) + -4)**2.\nAnswer: -336 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 3 + 8 - p**2 - 1.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -238224.7 to the nearest one thousand.\nAnswer: -238000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*a + 15, -a + 2*b + 11 = -0. Suppose 2*u - 7 = a. What is the tens digit of (105\/(-28))\/((-3)\/u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3333 a factor of 27748722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 16*w + 18. Let q(c) = c. Let t(x) = 5*q(x) - z(x). What is the units digit of t(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.156 + 0.156. Suppose -4*t - 4*f + 39 = -25, 5*t - 5*f - 60 = 0. Let l = t + -17. What is the second smallest value in v, 0.1, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 377 and 13.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 74 = -4*o, -7 = 2*y + 2*o - 91. What are the prime factors of y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-4)\/22 + 15\/22).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 2:18 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*v = -4482, 3*v - 3007 = 12*x - 14*x. What are the prime factors of x?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/6 (b) 135 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165401653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 24 = -0*i. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 2 (c) -3.8 (d) -4036\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14\/33 + 1\/11. Let r = -0.8 + -0.2. What is the second biggest value in y, -1\/4, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/75 and 47\/33?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g - 204 + 69 = 17*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*(-332)\/83. What is the second smallest value in -2\/7, -1\/1000, t?\nAnswer: -1\/1000","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.64 - -54.36. Let x = 56.915 - v. Round x to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/505, 19, 1 in increasing order.\nAnswer: 7\/505, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**5\/20 - 11*t**4\/24 + 40*t**2 + t. Let m be v(-2). Solve -20 = 5*k - m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 5*d**3\/6 - 3*d**2\/2 - d. Determine z(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - a - 2 + 1, -5*m + 11 = -2*a. Suppose 0 = -12*c - 10 + 34. Find the third derivative of 7 + 21*k**3 + 20*k**c - 4 - m wrt k.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6597 is divided by 2087.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 36. Let d(y) = -13*y - 162. Let x(w) = 2*d(w) - 9*u(w). Let b(c) = 6 - 4 - 63*c - 2. What is x(b(s))?\nAnswer: -63*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3752, 7576, 11402, 15230, 19060?\nAnswer: 22892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 253217379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/((v*v*v\/(v\/(v*v**7\/v)))\/v)*v)\/v*v*v**3)\/(v\/(v\/v**2*v)*v)**(-9\/10)*(v*v**(-1\/2)*v**8)\/((v*v**7)\/v**(1\/8)) assuming v is positive.\nAnswer: v**(17\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 263499.7 micrometers in kilometers?\nAnswer: 0.0002634997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 319403*s + 65 - 19 - 25.\nAnswer: -319403*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.028 - 0.028. Let i = -3.9 - -4.1. What is the closest to k in -14, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -72, -92, -102, -102, -92, -72?\n\"Answer: 5*d**2 - 35*d - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502226893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648*k + 656*k = -24. Let s(g) = 14*g**2 - 43*g - 133. Let n be s(k). Calculate the highest common divisor of 183 and n.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279564?\nAnswer: 2, 3, 23297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34600, -35888, -37188, -38506, -39848, -41220, -42628?\nAnswer: -44078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-14\/3)*j**3)\/(((j\/j**2)\/j)\/j*j\/(j**2*j)) assuming j is positive.\nAnswer: j**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140, -4, 14 in descending order.\nAnswer: 140, 14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, k: 1, t: 1, q: 5, i: 2}. Give prob of picking 1 q, 1 t, and 1 i.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n + 4*n)*(-4*n**2 + 5*n**2 + n**2) + (2*n - n + 0*n)*(18*n + 10*n**2 - 18*n) - n**3 + 0*n**3 + 0*n**3 + n**3 - 5*n**3 + 3*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9326 by 4.\nAnswer: 4663\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189681 divided by 1.\nAnswer: 189681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -594\/89 + 6712\/979. Factor -6\/11*o + 0*o**2 + p*o**3 - 4\/11.\nAnswer: 2*(o - 2)*(o + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/6*4\/3. Let y(s) = 2*s + s + 1 - s + 4*s**2 + 2*s**d. What is y(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1764835*w**4 - 6692652.\nAnswer: 7059340*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*n - 6. Let h = -4 + n. Which is bigger: 3\/5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeereerree. What is prob of sequence rrr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -7\/1840?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 233013281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -i + 2*j, j = i - 2*j + 3. Let c be (i\/(-74))\/(15\/(-10)). Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85392 by -24.\nAnswer: -3558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(360\/28) + (-22)\/(-55). Sort q, -0.1, -3 in descending order.\nAnswer: q, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgcg when four letters picked without replacement from {z: 2, c: 2, i: 2, g: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-30))\/((-28)\/(-140))*3\/(-18). Which is the third smallest value? (a) 43 (b) -3 (c) -2\/7 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.124 - 3.124. Which is the nearest to 0? (a) 0.3 (b) 3\/2 (c) 10 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000776168108 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**6\/120 + b**5\/30 - b**4\/12 + 14*b**3\/3 + 9*b**2. Is i(0) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -0.86991789.\nAnswer: 7.86991789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2370 + 45028\/19. Let c(g) = -g**3 - g + 1. Let n be c(0). Suppose -2*o + 3*o - n = 0. What is the closest to -12 in d, o, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 19 + 5 + 2*d)*(0 - 6 - 4).\nAnswer: -20*d + 290","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 12 - (-82 - -65)) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**9\/15120 + d**7\/2520 + d**4\/4 + 2*d. Let y(n) be the third derivative of p(n). Factor y(u).\nAnswer: -u**2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5304463 to the nearest integer?\nAnswer: 2303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1021.09843 to 1 dp.\nAnswer: 1021.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64504*k**3 + k**2 + 94173.\nAnswer: -387024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 73*r**2 - 1. Is y(1) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d = 3. Suppose -10*i + 9 = 9. Suppose 40*x - 11*x - 464 = i. Solve 0 = -d*h + 2*n + 9, 0 = 4*h - 4*n - x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/6 - 1417*h**2\/6 - 2349*h - 5628 = 0. What is h?\nAnswer: -1407, -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.66 + -34.66. Put z, -3\/2, -72 in decreasing order.\nAnswer: -3\/2, z, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.82 - 0.309. Let d = -175 + 174.919. Let w = j + d. What is w rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(-2\/147)\/(r**4\/(r**(-5)*r)))**18 assuming r is positive.\nAnswer: r**(-7044\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/36 and -19\/42024.\nAnswer: 126072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -1\/7554653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 144 - 147. Which is the biggest value? (a) 0.2 (b) 2 (c) -2\/17 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8441*a - 69330. Calculate z(-8).\nAnswer: -1802","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 2 = 2*g - 2*t, -124*g = -60*g - 62*g - 4*t - 14 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 37*r**2 - 40*r + 79. Let b be a(38). Solve 3*v + 15 = -0*v - b*f, f = -2*v - 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3376 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*-10*(2464\/(-350))\/88.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42424 (base 5) to base 12.\nAnswer: -17a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 14406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -275?\nAnswer: 3\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**6\/27 - 2*u**5\/45 - 15. Solve s(v) = 0 for v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16212.877 rounded to the nearest ten?\nAnswer: -16210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, u: 1, a: 1, j: 1, d: 5}. What is prob of picking 1 j, 1 d, and 1 u?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25 + (-4 - (-52)\/13). Is -5 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 128800002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5593 - -5593. Let c = -8\/7 - -15\/14. Which is greater: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47575 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37173 + -37168. Which is the nearest to 2? (a) -3 (b) h (c) -5 (d) -240\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvbbcvvbvbv. Give prob of picking 1 c and 2 v.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**4\/8 + 9*u**3 + 683*u**2\/4 + 315*u - 4834. Factor d(a).\nAnswer: (a + 1)*(a + 18)*(a + 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-2)*(-4)\/(-5). Let q = 9 - 6. Suppose -2*a - 2 = 8, -29 = -h*t + q*a. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 33*t**2 - 730*t. Does 108 divide a(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bszbzh. Give prob of sequence hz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j - 142. What is f(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.6598 + 9.6198. Let u = -20 + 59\/3. Sort b, u, -5.\nAnswer: -5, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**4\/12 + l**2. Let a(x) = -8*x**2. Let w(b) = -b**2. Let k(c) = -a(c) + 10*w(c). Determine q(k(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -858157*-38.\nAnswer: 32609966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 14*h**3 - 22 + 12 + 19*h**3 - 35*h**3 - 3*h + 8 - 14*h**2. Determine z(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/6*(-15 + 6 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -14. Suppose -3*h = -2*k - 134, -k = -5 - 0. Suppose u = -3*u + 4*t + h, 0 = 3*u + t - 16. What is the remainder when m is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 187 = -22. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 y, and 2 w when four letters picked without replacement from piiywwxsxwpxwwys?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10737 + 3?\nAnswer: -10734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 6:14 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 255, 740, 5, -5, -3 in decreasing order.\nAnswer: 740, 255, 5, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + f**2 + 5. Let x be h(0). Suppose 2*n + x = l - 0, -2*n + 5*l - 1 = 0. Let r = n + 6. Solve r*o + 7 = 5*a, 2*a = -o + 3*a - 3 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -173723927031 and 5?\nAnswer: 173723927036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 213467161 and -5232.7.\nAnswer: 213461928.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 2*j, b + 6*j - 3*j = -2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*a - 31 - 41*a - 2 as r*a + d and give d.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 1824*h**2 + 662*h**2 + 485*h**2 + h + 679*h**2 - h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - (45 + -85)) + -49?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 54*b - 55*b, -2*d = 4*b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**6\/360 - c**5\/120 + c**3\/6 + c. Let r(s) be the second derivative of u(s). Suppose 14*z = z - 15*z + 9*z. Calculate r(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*d - 1327 + 43 = 0 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 295 or -2288100?\nAnswer: -2288100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65896700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5822 = -16*t + 5854. Factor -9\/7 + 9\/7*u**t - 3\/7*u**3 + 3\/7*u.\nAnswer: -3*(u - 3)*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 173\/7 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 158*s**2 - 18*s + 602. Is h(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 3\/(3\/14). Let a = 17 + o. Suppose 4*h - a*d - 35 = 0, -2*h = d + 2*d - 1. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i*(i*i**(-5\/2))\/i)\/(i**6*i**(-1)\/i*i) assuming i is positive.\nAnswer: i**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-8)*2 - (21 + (-594)\/72).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 1. Suppose 0 = 4*b + 12, 2 = k + 4*b + 9. Let f(a) = -4*a + 6. Give k*m(z) - f(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7792*f - 3*f**2 - 7792*f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)\/i)**(-4\/31)*((i*i*i**(4\/7)\/i)\/i)**(-35) assuming i is positive.\nAnswer: i**(-1852\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-18))\/((2\/2)\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*a + 14*a - n + 20, a - 2*n = -12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -91, -193, -295, -397, -499?\n\"Answer: -102*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**2 + 2*a**2 - 4*a**2 + (0*a - a - a)*(-4 - a + 4) + 0*a**2 + 0*a**2 - a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -7\/2*i**2 - 5\/12*i**4 + 0*i**3 + 0 - 8*i. Differentiate f(x) with respect to x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/16 - (-5)\/(-20)*1. Let x = -39\/7 + 5. What is the nearest to s in 1, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -34. Which is the biggest value? (a) -1\/6 (b) r (c) 0.07 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 366 + -220. What is the greatest common divisor of u and 365?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(1\/22)*j))\/(j**(3\/4)\/j) assuming j is positive.\nAnswer: j**(9\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -623 + 635. Solve j = 9*v - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.841 and -0.65.\nAnswer: 2.49665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/1365?\nAnswer: -2\/1365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0)\/(44\/(-8)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9266*g**3 + 0 + 18583*g**3 + 0 - 9287*g**3.\nAnswer: 30*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*r - 25 - 26, -21 = r + 3*q. Let z be 3\/(-6)*8\/r*30. What is the greatest common divisor of z and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -164, -316, -476, -650, -844, -1064, -1316?\n\"Answer: -d**3 + 2*d**2 - 151*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -270 and 0.3.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37\/2, 2\/32811, -0.5, 0.05 in ascending order.\nAnswer: -0.5, 2\/32811, 0.05, 37\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acqiaky. What is prob of sequence ca?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -57 - 6) + -3 + (-3 - -1).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - 5*a - 12. Suppose -8 + 2 = -2*q, -4*q = 3*d. Let v be f(d). Suppose -v = -0*s - 5*s. What is the greatest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 63 = 5. Suppose h = 2*a + 9. Let c(s) = -s + 6. What is c(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 7*k - 6. Let j = -1 + 7. Suppose -1 = -i - j. Let s be a(i). Solve -s*f + 16 = 0, -4*l + 2*f + 4 = f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11135.58 rounded to the nearest 100?\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 t when three letters picked without replacement from wjrreejti?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -8370?\nAnswer: 2\/1395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/8 and -7\/31114.\nAnswer: 124456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 5420, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.719 + 5.719. What is the biggest value in x, 5, 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2758293?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6923 - -6921. What is the closest to -1\/15 in 1\/5, 2.62, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-86))\/((-1999)\/3696151).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from qteeteqiqete?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 505926001 to the nearest integer?\nAnswer: 22493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(44\/24).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/21*(-27)\/6. Determine u, given that -37*u**2 + 20*u**3 - j - 39 + 12*u**2 - 90*u = 0.\nAnswer: -1, -3\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0)**1)**(-21)*c**(6\/7)*c*c**(-1\/6)*c*c**(1\/3)\/c*c\/(c**(-5)*c) assuming c is positive.\nAnswer: c**(-587\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/196 and 31\/2.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + j = 39, 4*j = 3*c - 0*c - 96. Let n be -4 + -2 - (-64)\/8. Put -3, c, n in descending order.\nAnswer: c, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.442706 millennia to months.\nAnswer: 29312.472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-36)*52\/65.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(990\/(-36)))\/(-1*(-2)\/3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.1593766m?\nAnswer: 0.0001593766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2386662 and 7008.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -17 + 3. Let i = -25\/3 + 8. Which is the nearest to 0.1? (a) i (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60708068261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 80565774 to the power of 1\/3, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -48 + 14 + 12 + 44 - 6*t + 27. Let i be w(8). Is i at least as big as 1\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 11:54 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154 <= 1156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-1547)\/441 + (-4)\/(-18))\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 2)*(0*n + 0*n + 2*n)*(-1 + 0 - 1)*(-5 - 1 + 1) in the form x + r*n and give r.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 9006430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 20 - (-18)\/3)*3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*m + 69 = -3*f - 340*m, -5*f - m = 98 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8402822 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12 and 276357.86?\nAnswer: 276369.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (-21 - -18 - -1) - -13.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/(-5))\/(34\/85) + 44\/(-44).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*y + 97, 3*c - 4*y = -0*c + 79. Let a = 10 - 14. Let l = a - -18. What is the remainder when c is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 42*o**2 + o. Let h be g(-1). Let q be (75\/10)\/((-54)\/(-12) - 4). Suppose q*f + 64 = -h. Let p(j) = -j**2 - 7*j - 10. Determine p(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + c + 0*c = k + 20, -9*c = k - 123 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5998 in 8, -0.02, 4, 5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*a, 4*a - 7485 = 5*g - 18283. Suppose -35*c + 33*c + g = 0. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**16)**(-3\/7) assuming a is positive.\nAnswer: a**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12939066071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12771239 + 5*b + 12771239.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 6*r + 2*r)*(-4*r - 65 + 65)*(-r**2 - r + r) to a*r**2 + w*r + p + c*r**4 + f*r**3 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5679138111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/34, 1, -2, -1.5, -2\/3 in decreasing order.\nAnswer: 1, -3\/34, -2\/3, -1.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3591.391um in meters?\nAnswer: 0.003591391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -78743133 divided by 119\nAnswer: -661707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/3*(-6)\/4. Let b be 99\/44 - x\/4. What is the third derivative of -8*g**2 - 13*g**b + g**3 + 3*g**3 wrt g?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11359, -11360, -11361, -11362, -11363?\n\"Answer: -a - 11358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 3*y + 0*y)*(((231 - 1011 - 253)*(1 + 0 + 1) + 3 - 1 - 3)*(3 + 2*y - 3) + 2*y - y - 4*y).\nAnswer: -4137*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(3*m**4 - 2*m**4 + 0*m**4) - 10 + 10 + 5*m**4.\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u - 24. Let v = 14 + u. Let t be 3\/v*0*-1. Are 1\/2 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 0.1, -14, -117, 429, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18315*l - 34302*l - 1 + 25107*l + 10763*l to the form h + f*l and give f.\nAnswer: 19883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 930959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2449 - -17201\/7. Let u = 1 - 35. Calculate the common denominator of 8\/(-2)*u\/(-20) and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 220 - 220. Suppose -4 = j - 3*v, -5*v + 2*v = 3*j - 12. Put j, h, -1, 4 in descending order.\nAnswer: 4, j, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -565 - -567. Suppose 4*j - 3*n - 59 = -0*n, 2*n = -l. What is the smallest common multiple of j and 78?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 39 - 3*m)*(26 + 14 + 273).\nAnswer: -939*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/199068125 and 18\/3695?\nAnswer: 199068125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5482039 is divided by 1827332.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**22*o*o)\/o*o)**(4\/21)*o**5\/(o\/((o\/(o\/(o\/o**(-13))))\/o*o)) assuming o is positive.\nAnswer: o**(478\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -668 + 1129. Calculate the remainder when w is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.897305m in nanometers?\nAnswer: 6897305000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1252752 to the nearest integer?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -27*l**3 - 13*l**2 + 2*l. Let h(j) = 13*j**3 + 6*j**2 - j. Give 9*h(w) + 4*v(w).\nAnswer: 9*w**3 + 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, f: 1, d: 1}. What is prob of sequence pf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41.1? (a) -6 (b) -4 (c) -1\/6 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*n**2 + 115*n**2 - 1856*n + 1578*n - 15507*n.\nAnswer: n**2 - 15785*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*sqrt(425) + 0)*1)**2.\nAnswer: -10200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48.903 + -49.5. Let w = f + 0.597028. What is w rounded to six dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yysy when four letters picked without replacement from {s: 5, y: 3, f: 3}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(18)*-2)\/sqrt(9).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76.0817? (a) 0.3 (b) 7 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2676*t**2 + 2732*t - 56.\nAnswer: -4*(t - 1)*(669*t - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13321 divided by -5?\nAnswer: 13321\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 184993\nAnswer: -1\/184993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 54\/12*40\/15. Let w be 140\/(-15)*p\/(-14). Let g(k) = k + 8. Determine g(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106 (base 10) to base 6.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**3 - x. Let o be 4\/(-12) - (-38)\/6. Let v = o + -7. Determine r(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67 and 120667.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4 - 307*w**3 + 3822*w**2 = 0. Calculate w.\nAnswer: 0, 13, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10710148 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 228088?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3899 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -35\/53 (b) -15 (c) 0 (d) 4 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11260, -11257, -11252, -11245?\n\"Answer: z**2 - 11261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6800393 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/360 and ((-1)\/10)\/(14\/(-378)).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 368 - 10?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/15)*f*f*(f**(-13)*f*f*f)\/f)\/(f\/(f\/(f\/((f*f**(-12)*f)\/f*f)))*(f*f**10)\/f*f) assuming f is positive.\nAnswer: f**(-461\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8801 (base 11) in base 9?\nAnswer: 16837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24496480 and 1224824.\nAnswer: 24496480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48712 and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20043 = 18*y + 19719 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 297480?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)*o*o)**(-30)\/(o\/(o**6*o))**(-1\/19) assuming o is positive.\nAnswer: o**(564\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23594873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 194*w + 601. Calculate y(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -610, -1174, -2 in increasing order.\nAnswer: -1174, -610, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2081380.974 + 2083265. Let a = 1889 - w. Let d = a - 5. Round d to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -223053445 (base 6) to base 12\nAnswer: -1441285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, w: 2, m: 5, p: 1, j: 4}. Give prob of picking 1 j and 1 p.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033313113 (base 4) in base 8?\nAnswer: 1176727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 2. Let s(v) = 5 - 14 + 10. Determine -4*s(i) - u(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1008)*-1)**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 - t**2 - t - 4. Let l be w(3). Let k = 157 - 156. Which is bigger: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121.8 - 120. Let i = -2.2 - c. What is the third smallest value in -3\/7, -2, -3\/8, i?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5\/3, 5, -9, 4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -94 + 40 - 53*v**4 + 53 + 58*v**4 - 2*v**2 as t*v + l*v**4 + b*v**2 + c*v**3 + g and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w = -36. Suppose 0 = -22*l + w*l + 100. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*d + 4095 + 51649 = -1636*d for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 436, -36, -41530.\nAnswer: -41530, -36, 436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.94109023 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 40 = -4*i, -z - 2*i - 5 = -4*i. Factor 1\/2*y**z + 0*y + 0 - 1\/2*y**3 + 1\/2*y**4 - 1\/2*y**2.\nAnswer: y**2*(y - 1)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472391?\nAnswer: 472391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 14*l**2 + 6*l - 12. Let q(n) = 5*n**2 + 2*n - 4. Let k(g) = -6*h(g) + 17*q(g). Let r be k(-4). Calculate the highest common factor of 70 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/21, 0.09, -2, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 45 = 5*q. Let d = -22 + q. Let y = 161 - d. What is the greatest common divisor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7532 and 4304.\nAnswer: 30128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 10:36 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2 - 8 - -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/682132 and -27\/50764.\nAnswer: 233971276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3\/5, 1036?\nAnswer: 1036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 322 = 5*u, -4*u + 6*u + 3*q + 133 = 0. What is the second biggest value in -0.2, u, 4\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 226*y**2 + 4*y - 9. Is x(-5) a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5 = -3*h, 10*s - 6*h + 15 = -h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1268.18 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -555, -543, -531?\n\"Answer: 12*a - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 504 + -61. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p + 1. Does 13 divide c(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11365078 from -23136.\nAnswer: -11388214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2\/2 - 233*m + 2724 = 0.\nAnswer: 12, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30579193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnxtntpxpn. Give prob of sequence tn.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*((-10)\/6)\/5. Let o(s) be the first derivative of 13*s**2\/2 + 67*s - 108. Let y be o(-5). Sort -2, -5, y, k.\nAnswer: -5, -2, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -2 + 3)\/2. Suppose -5*b + 6*b - 4 = 0. Let q be s\/b*0\/3. Solve q = -4*c + 6*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 92070?\nAnswer: 5\/18414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19320 and 1596.\nAnswer: 367080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-481)\/1443)\/(19\/6)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/10, -0.4, -3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -219814, -219817, -219820?\n\"Answer: -3*z - 219811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*b - b - 8, b = -2*g - 4. Let n be 2*g - 3798\/(-18). What is n rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 8.1. Let i(y) = 379*y**3 + 2*y + 3. Let g be i(-1). Let m = 323 + g. Which is bigger: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -21. Let t be j\/12 - 3\/2. Calculate the remainder when 30 is divided by (1 - -12) + t + 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1416 and 1534?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -54754283, -54754269, -54754269, -54754289, -54754335?\n\"Answer: -s**3 - s**2 + 24*s - 54754305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 40 = -97. What is the remainder when i is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/c**4)\/c)*c**3*c*(c\/(c*c**(-2\/5)\/c))\/c*c**(-2\/3))**(-33) assuming c is positive.\nAnswer: c**(-1441\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-13 - -3 - (-2 + -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256 by -4.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2941?\nAnswer: 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**5 + 3780*x**4 + 170150*x**3 + 162600*x**2 - 170155*x - 166380 = 0.\nAnswer: -708, -47, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 2*m - 7. Let f be o(-4). Let h(s) = -7*s**2. Let w(n) = -n**2. What is f*h(q) - 3*w(q)?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*z - 14, 2*p + 2*z - 16 = -2*z. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 - (248\/(-1))\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 9. Suppose -5*m + 8 = -m. Suppose -m*p + p - 3*g = -6, -2*g + 4 = 5*p. What is a(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 6*j. Let r(v) be the second derivative of j + 0*v**4 + 0*v**3 + 0*v**2 - 1\/100*v**5 + 2*v. Factor r(w).\nAnswer: -w**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 258 + 352 = 0. What are the prime factors of o?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1512 plus -331?\nAnswer: -1843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15*(6 + -12)*7\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**2 + 115188*t - 9189440 = 0.\nAnswer: 80, 28717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35\/4783513362 + -1310504608150235\/5521768924202. Let t = 3\/3463 + p. Let x = t - -232. What is the common denominator of x and -34\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-90)\/112 + (153\/21)\/17. What is the nearest to 1\/4 in q, -2\/29, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.79 + -2.78861. What is b rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0158 minus 502.346?\nAnswer: -502.3618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*i - 71999 = -72476 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqkirkikrrqriikrrqk. Give prob of sequence irr.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 2. Let b be 1 + -3 - (-6)\/f. Let u = 0.36 + -0.36. What is the nearest to u in -2\/7, b, -2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -444011702*l**5 - 16149*l**2 - 26*l + 63 wrt l.\nAnswer: -26640702120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/(6\/(-24)*2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.17\nAnswer: -0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -344.6243 minus 0.3?\nAnswer: -344.9243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 14 + 94 = 0. Let u = 8 + -6. Suppose -u*w = -82 - 278. What is the highest common divisor of s and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -12*s**2 - 2981*s + 5967. Calculate a(2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*(sqrt(204) + (sqrt(204)*-2 - sqrt(204)))*-2)\/(sqrt(48)*5*-3))**2.\nAnswer: 68\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**6\/120 - o**5\/120 + o**4\/3 - 13*o**2. Let w(a) be the second derivative of q(a). What is w(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10909\/2, 0.2, 3 in descending order.\nAnswer: 3, 0.2, -10909\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*z + 11738 - 42159. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.484029443 rounded to four decimal places?\nAnswer: -0.484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80.4 + 79. Let l = -0.38 - v. Which is smaller: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -91, -5, -12, -4, 0 in decreasing order.\nAnswer: 7, 0, -4, -5, -12, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1 + -3 + sqrt(99) + 0 + 6*-3*sqrt(99) + 2)*-1)**2.\nAnswer: -28615 - 204*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 0*m**3 - 13*m + 7\/4*m**4 - 9 + 0*m**2. What is the derivative of l(q) wrt q?\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 5:29 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -10. Suppose -4*h + 20 = -0*a + a, -5*a + 5*h = j. Calculate the remainder when 15 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1989 - 3200*u**3 - 7*u**2 + 6550*u**3 - 3605*u**3 wrt u?\nAnswer: -765*u**2 - 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, 0, 165, 3 in ascending order.\nAnswer: 0, 3, 161, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 102908793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 c, and 1 x when three letters picked without replacement from {c: 1, h: 2, x: 5, n: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iigi.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -7020, -2\/5, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3848, 3846, 3846, 3848, 3852?\n\"Answer: d**2 - 5*d + 3852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-741.\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b - 2. Let a(n) be the second derivative of n**3 - n**2\/2 + n - 516. Determine 3*a(u) - 2*z(u).\nAnswer: 6*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1776994260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {g: 1, z: 5, p: 1, y: 5, m: 1, x: 1}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-12 - (-3 + -2)) - 2) + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 95*z**2 + 8*z. What is the tens digit of k(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from {b: 7, o: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12000011 (base 3) in base 2?\nAnswer: -111001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + (-42)\/6)\/((-1)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**3 + 4. Let u(g) be the second derivative of -11\/2*g**2 + 0*g**3 - 8 - g + 0*g**4 + 3\/4*g**5. What is -4*u(p) - 11*z(p)?\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + s - 20 = 0, -25*y = -27*y + 3*s - 8. Let q be -316*(-3 - 5\/(-2)). Let x be q\/(-18) + (-4)\/18. Sort 1, y, x.\nAnswer: x, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - r**2 + 8*r + 6 - 7 + 14 to h + y*r**2 + x*r and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 50548, 16 in decreasing order.\nAnswer: 50548, 16, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -210069 - -392950. Let f = -81881 + j. Round f to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 10:32 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i - 6. Let g be w(8). Suppose -9*q + 10*q = g. Let b = q - 28. Sort -5, -1, b.\nAnswer: -5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/22 + 3265311\/171787 + -19.\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211 - 12?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -207a - -2c4?\nAnswer: -1a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 2. Let b(o) = 3. Let t(y) = -96*y + 118. Let s(a) = 36*b(a) - 2*t(a). Let p(v) = s(v) + 64*z(v). Let w(q) = -q**2. Determine w(p(k)).\nAnswer: -16384*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54844421 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/6215 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6480 + -6420. What is the remainder when x is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -13*a**3 + 6*a**2 - 14*a + 6. Let j(o) = -o**3 + o**2 - o + 1. Let z(i) = -6*j(i) + r(i). What is the second derivative of z(q) wrt q?\nAnswer: -42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -10*l**3 + 3*l**2 + 45*l + 4. What is b(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-1)\/(-3))\/(((-4669)\/9744)\/(9\/72))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100629125 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**4\/9 - 712*m**3 + 243196*m**2\/3 - 27225184*m\/9 + 104376272\/3 = 0. What is m?\nAnswer: 22, 49, 1482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*d + 118*d + 180*d.\nAnswer: 236*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 6:21 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 784 (base 9) to base 16.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -649*z. Let j(t) = 249*t. What is j(u(f))?\nAnswer: -161601*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipbp when four letters picked without replacement from {p: 7, u: 1, b: 2, i: 1, v: 7}?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 19636 + 6434 - 4629 - 28335.\nAnswer: 2*x - 46166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3 - 6*y**2 - 13*y + 1. Is j(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 5*b - 14 = 0, 95*b - 96*b + 10 = o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -735 + 1264. Suppose -o + 15 = -6*o, -2*g + o + l = 0. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 28777504.\nAnswer: 28777504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.073264 < -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -79 <= -25384\/321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yzzyzzyyzzzy?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12.73, -534, 0 in decreasing order.\nAnswer: 12.73, 0, -534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1001 and 41657?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -308.9 + 324. Let y = v + -15. What is the closest to -1 in 1, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 237 - 228. What is the highest common factor of 23 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4653 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 282*o**3 - 1937*o + 278*o**3 - o**2 + 1312*o**3 wrt o.\nAnswer: 11232*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**2 + 6196*x - 2048480 = 0.\nAnswer: -1829, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/307 or -17\/2?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 8182.51 to the nearest ten.\nAnswer: 8180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1468 + -0.2.\nAnswer: -0.0532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1028 + -1024.048. Let q = -3.7 - 0.3. Let u = l + q. What is u rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-7))\/(1 + 1). Suppose -c = -2*x + 4, 4*x + 0 + 20 = -5*c. Suppose x = -0*j + 4*j. Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 47. Suppose -2*t + 48 = s + 3*s, -s = 2*t - 45. Find the second derivative of -d*b - t*b + 913*b**4 - 937*b**4 wrt b.\nAnswer: -288*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-4)\/16)\/(-4*2\/(-32)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*w - 89*w + 16*w + 38*w + (-3*w + 0*w - 3*w)*(-2 + 0 + 3).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -417, -1708, -3887, -6978, -11005, -15992, -21963, -28942?\n\"Answer: -4*o**3 - 420*o**2 - 3*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**5\/20 + x**4\/6 - x**3\/2 + 3*x**2\/2 - 3*x. Let b be d(-3). Suppose 30 = b*r + 6. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*g**2*u**3*w - 19*g**2*u + 3*g*u*w**2 - 8*u**3*w**2 + 3*u**2*w wrt u.\nAnswer: -378*g**2*w - 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 3*r + 2*r**2 - 21*r - 13*r + 32*r - 16*r**2 + 4*r**2 - 2*r**2 - 3*r**2 + (4*r - 2*r - r)*(r - 2*r - r).\nAnswer: -17*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 456, 913, 1368, 1821, 2272?\nAnswer: 2721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13210343 (base 5) in base 7?\nAnswer: -1056522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 12:49 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-8)\/232 + (-208705)\/10324.\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 10*j**3 - 135*j**2 - 225*j = 0.\nAnswer: -3\/2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q + 3*q**2)*(28*q**2 + 8*q - 21*q**2 - 27*q**2).\nAnswer: -60*q**4 + 24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -75c41 (base 15) in base 3?\nAnswer: -201000001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 4*s + s**2 - 2*s + 6*s.\nAnswer: s**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6075)\/(-18))\/(-25)*4\/3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 0*f + 80. Suppose 5*c - 45 = -f. Suppose -g + c*q - 5 = -6*g, g = q + 7. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059323527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/60966?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 965 and 5871253.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r = 1128597 - 362091. List the prime factors of r.\nAnswer: 3, 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/2 - 2 - -14. Let g(x) = -37*x - 17*x**3 - 2*x**3 - 12*x**3 + 26 + 18*x**2 + 30*x**3. What is the hundreds digit of g(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -172. Suppose j = -j + p. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 2. Let t(l) = -6*l - 9. Let r(m) = -2*t(m) - 11*x(m). Let o be r(4). What is the tens digit of 14 - o\/(2\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.595 - 10221.\nAnswer: -10220.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-2\/5))\/((r*r*r**(-2\/15))\/r))\/((r**(-7)\/r)\/(r\/(((r**0*r)\/r)\/r))))**21 assuming r is positive.\nAnswer: r**(1022\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1347 + 1347. Let d(r) be the second derivative of 8*r + 1\/5*r**5 + 8\/3*r**3 + 4\/3*r**4 + 0 + b*r**2. Determine y so that d(y) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**4 - 405*m**3 - 8157*m**2 - 48411*m - 40656 = 0.\nAnswer: -112, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 6*s - 12. Put s, -1, 4 in increasing order.\nAnswer: s, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4878, 2832, 818, -1146, -3042, -4852, -6558, -8142?\nAnswer: -9586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 10:45 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + (sqrt(49) + sqrt(343)\/(-5*sqrt(7)))\/sqrt(7).\nAnswer: -2 + 4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311110491?\nAnswer: 3, 103703497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285.\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 96 and 28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-4) - (190\/40 - 5). Let p be (28*1)\/2 - 2. Solve -4*y - p = -n*h, 2*y + 2*h = -2*y + 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329715?\nAnswer: 3, 5, 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 407, 406, 397, 374, 331?\n\"Answer: -o**3 + 2*o**2 + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9007, -18000, -26977, -35938?\nAnswer: -44883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*k**3*r - 855687*k**3 - 57*k**2*r + 116218*k**2 - r wrt k?\nAnswer: 30*r - 5134122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -1. Let f = 6.437 - 0.137. Let g = f + -6. Which is the closest to g? (a) -5 (b) -2\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121320 (base 5) to base 15.\nAnswer: -155a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4553*v + 27320. Calculate t(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -5. Let r = 58 + -53. What is the greatest common divisor of n and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 26. Calculate the highest common factor of v and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/81)\/(116075\/(-13929))?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -i + 90. Let g be (-4)\/i + (-940)\/(-18). Suppose 65 = 4*k + k. Calculate the greatest common factor of k and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ad9 + 5?\nAnswer: -ad4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212 (base 7) to base 4.\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/9 - 2) + 288. Let d = -277 + p. Solve d*o + 32 = -0*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 9:16 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*a - 6 = 0, 5*d - 3*a - 34 = -0*a. Suppose -d*s + 8 = -s. Suppose 6 = 2*y - 2*u, -s*u - u + 31 = 2*y. Solve -p = -5*p - y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -5. Let n(a) = -9*a**2 - 5*a + 5. Let p(w) = -5*w**2 - 22*w**2 + 8 + 4 + 5*w**2 - 12*w. Calculate x*p(l) - 12*n(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 12*v - 196. Calculate t(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5923.\nAnswer: 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211 (base 4) to base 16.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**2 - 7*v**2 - 8*v**2 - 342*v**3 + 27*v**2.\nAnswer: -342*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/44 + ((-928)\/(-22) - 0) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(3*m + 2*m - 3*m)*(m**2 + 4*m**2 + m**2) + (8*m**2 + 5*m**2 + 6*m**2)*(-1 - 2*m + 1).\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 10*n. Let z(d) = -1367*d**2. What is w(z(r))?\nAnswer: -13670*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n - 60. Suppose -13 = 4*y + 11. What is the common denominator of -2\/9 and (-301)\/n + 2\/y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 1\/1440*p**6 - 13\/3*p**3 - 7 + 0*p + 1\/120*p**5 + 0*p**2 + 1\/32*p**4. Let m(k) be the third derivative of x(k). Factor m(j).\nAnswer: (j + 1)*(j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 139*y**4\/24 - 2*y**3 - y**2. Let s be m(8). What is s rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*c**5 + 31*c**4 + 1337*c**2.\nAnswer: 1860*c**2 + 744*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14802?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48452567*m**3 + 9*m**2 - 2044063?\nAnswer: -290715402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1275.3+3\nAnswer: 1278.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {u: 2, l: 2, p: 2, r: 1, i: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57*c**3 - 139*c**2 - 42957 wrt c?\nAnswer: 171*c**2 - 278*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -59. Let j(t) = t - 23. Let i be j(17). Let n be 2\/i*(-45)\/30. Which is the smallest value? (a) 4 (b) y (c) -2\/9 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109510*i**2 + 568554?\nAnswer: -219020*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-300)\/132 - -2 - 39\/(-3718)*-18?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -667 divided by 11\nAnswer: -667\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) 5 (b) -5 (c) 2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1417 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 3. Suppose 20*v - 20 = 10*v. Sort -2, v, k.\nAnswer: -2, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 350 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4) + (-15)\/(-6). Let k(p) = -p**3 + 4*p**2 + 5*p + 7. What is the common denominator of (c - 87\/(-15)) + 1 and k(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t**2 - 7*t**3 - 10*t**2)*(21*t - 49*t - 82*t).\nAnswer: 770*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 0)*(2 + 2 - 1)*(2050*u**3 - 4674*u**2 + 4674*u**2) in the form q*u**2 + z*u**3 + c + d*u and give z.\nAnswer: -24600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 19 - 171. Let i be (114\/99)\/(620\/10230). Calculate the greatest common divisor of i and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9280 + -80.1?\nAnswer: 9199.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 163, 328, 491, 652?\n\"Answer: -y**2 + 168*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22 (b) -0.2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-261)\/5)\/(1\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1319 + -1314. Solve 0 = 3*w + 5*a + 17, a = i*w - a - 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23.6, 0.2, 0.4, 22485?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 29 - 2*r + 11 + 807*r**2 - 24*r**2 in the form t*r**2 + x + y*r and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1973*t + 1973*t - 443*t**2.\nAnswer: -443*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146165 (base 7) in base 13?\nAnswer: 51723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 851768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 38*j + 198. What is i(42)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101011221 - 110102?\nAnswer: 100201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 937348 and 178?\nAnswer: 937348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -5*m**2 + 214. Let f(y) = -8*y. What is f(t(h))?\nAnswer: 80*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/8)\/((-1)\/(-142)). Let v = 14 - c. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 14. Let n(a) = -a - 14. Let b(f) = -2*h(f) - 3*n(f). Let u = -19 + 12. Let s be b(u). Let j(d) = d**2 - 6*d - 7. Give j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 29141710.\nAnswer: 8742513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 0) + (2 - -2). Suppose -6*o + 40 = 34. Let g be o\/t - 984\/36. Put 5, g, 1 in decreasing order.\nAnswer: 5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20643*0.2.\nAnswer: 4128.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/6 - (-2)\/3. Suppose -55 = -5*m - u. What is the least common multiple of -52 + 54 + (36\/(-2))\/(-1) and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 970563.4kg in nanograms?\nAnswer: 970563400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1563 - -1569. Solve -n*m - 4 = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79431 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6*0\/(-1308). Let d be 0 - (-21 - 0)*1. Solve 7*n + p*n = -d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-10) - 4)\/((-290)\/(-300) - 1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12498542, -12498545, -12498550, -12498557?\n\"Answer: -i**2 - 12498541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 679196351 to the power of 1\/2, to the nearest integer?\nAnswer: 26061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 8) to base 12\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-80))\/(2\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 17985*y + 538654. Give d(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) -3 (c) -1206 (d) -13 (e) 1\/4 (f) -2\/3 (g) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 4*n + 4 + 8)*(5 + 7 + 7 + (6 + 0 - 3)*(3 + 0 - 2)) to the form y*n + u and give y.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*b**4 + 50*b**4 + 26*b**4)*(-11*b + 2*b - b).\nAnswer: -1010*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2502961 and 1?\nAnswer: 2502960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-562.943.\nAnswer: -168.8829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4621.158cm to kilometers.\nAnswer: 0.04621158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*i*j**3 + 4*i*j - 8538*i - 23302904*j**3 wrt i?\nAnswer: -30*j**3 + 4*j - 8538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.86 - 0.16. Let t = -7 + c. What is the nearest to 2\/7 in t, -2\/15, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -610887.\nAnswer: 122177.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 53 - -4?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74518000 divided by -40280.\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 16. Let t be p + ((-6)\/(-7))\/(1\/7). Let x = 1 - 1. Solve x = n - z + t, 5*n - 3*z + 1 = -6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, b: 4, q: 5, d: 3, j: 5, i: 1}. What is prob of picking 2 d and 2 b?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, s: 8, v: 2, x: 2}. What is prob of sequence skvx?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 37. Suppose -3*i + y + 9 = 0. Let k = -1 + 7. What is the remainder when i is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1929 is divided by 706?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*-1*sqrt(119)*-2)\/(sqrt(700)*1 + (3*sqrt(35) - sqrt(35))\/sqrt(5)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/1428)\/(1*(-3)\/4*(-3864)\/(-30429))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/68 and -167\/6420.\nAnswer: 109140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c7 - -3?\nAnswer: -6c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -2*z - 0 + 6, -4*z + 28 = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4\/5 - 273*x**3\/5 + 699*x**2 + 7821*x\/5 + 810 = 0. Calculate x.\nAnswer: -1, 18, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444.1054 nanoseconds to microseconds.\nAnswer: 0.4441054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 77, 70, 63, 56?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 - 176 = -27*k + 84. Calculate the greatest common divisor of 428 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 660 and 8147810.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-18))\/((-1)\/(-6)). Suppose -5*v + 53 = n. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439572652 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + l**2. Let p be n(-3). Let q = -8 - p. Let j = 85 + -65. Calculate the highest common factor of j and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 42*l**2 - 45*l**2 + 3*l - 5*l - 42. Let n(a) = -2*a**2 - 2*a - 42. Let p(w) = -4*i(w) + 3*n(w). What is the second derivative of p(j) wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*-6*(-6)\/(-9). Let n be (4\/18)\/(t\/(-237)). Let d = n - -22\/3. What is the second smallest value in 2\/5, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -807*d + 17893 = 3590 - 7486 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4 + (-12)\/(-16). What is the closest to -3 in 0.3, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from qir?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 788 - 226. Let f = j + -4479\/8. What is the common denominator of f and 41\/(-4)*16\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**3 - 3*w**3 + 2 - 1)*(-14 - 17*w + 14 + w**2).\nAnswer: 3*w**5 - 51*w**4 + w**2 - 17*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (-14 + 30 + -22)) + -16 + -60?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1768 and 191386.\nAnswer: 765544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 833 and 156310?\nAnswer: 2657270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(120)\/sqrt(2)*1)\/(4*(sqrt(972) + sqrt(972) + sqrt(972)*-1 + sqrt(972))).\nAnswer: -sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = p + 10*f - 378, 0 = 2*p + f - 720. What are the prime factors of p?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/40 + (-24)\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236890152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -14. Let v(o) be the second derivative of -o**3\/2 - 5*o**2 + 2*o. What is the tens digit of v(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - d - 42 = 58, 4*d = 16. Let a(p) = -17*p + s*p - p**2 - 3 - 15*p. Give a(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 308 + 38)*(0*z**5 + z**5 + 2*z**5).\nAnswer: 1035*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 23*k**2 - 22*k - 38. Calculate q(22).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 24 times -0.07\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-10)*1)\/6. Let n = 31\/60 + i. Which is the third smallest value? (a) 2\/9 (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*q**2*x - 4*b*q**2 + 14*b*q + 6*q**2 - 2*q*x + 4*x wrt q.\nAnswer: -2*b*x - 8*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46935670 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -122160 >= -122167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 - -55. Let z = v + 13. Find the common denominator of 1\/(13\/((-1339)\/z)) and 67\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/6 + (-17 - 915\/(-45))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 - 10*d + 4. Let m be i(4). Let j be ((-52)\/(-16))\/(-13)*m\/(-9). Let b = -53\/34 - -1\/17. Put b, -0.3, j in descending order.\nAnswer: j, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 2*t**2 - 4*t. What is h(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18035 and 299381?\nAnswer: 1496905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (186 - 302) + 0 + 46 - 11?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 18120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*w - j + 5 = -56*w, 0 = 5*w - 3*j + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/7)\/o**(-1)*(o\/o**(2\/5))**(10\/7) assuming o is positive.\nAnswer: o**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 at most as big as 466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -658 + 661. Suppose v = -2*i + 11, 3*i - m*v = -6*v + 24. Find k such that 2\/5*k**4 + 16\/5*k - 6\/5*k**2 - 8\/5 - 4\/5*k**i = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57122 + 13142 = -15*d. Let z(t) = d - 2932 - t**2 + 2*t**2. Let v(y) be the second derivative of 7*y**4\/12 - y. What is z(v(l))?\nAnswer: 49*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 8*b**2 + 5*b - 5. Calculate the remainder when t(-6) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 27423.33 minutes?\nAnswer: 1645399800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-6 + 18 + -45 + -22 + 8 + -2)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*h**2 + 365*h + 572 = 0.\nAnswer: -1, 572\/207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or 110552?\nAnswer: 110552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 34*t - 84.\nAnswer: -2*(t + 3)*(t + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 943399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tts when three letters picked without replacement from ststts.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aieieiisyaxxi. What is prob of sequence ex?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 661096331?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(2\/((-8)\/(-4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 8 = y, 7*b - 2*b = 4*y - 25. Let l(d) = 1050*d**2 + 2*d + 1. What is the units digit of l(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -10\/7, 0.4, -3 in increasing order.\nAnswer: -3, -10\/7, -1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 8*o**2 - 4*o - 29. Give l(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l - 18*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74*s**3*u**3 + 12*s**3*u**2 + s**3*u + s**2*u**2 + s*u**2 + 22*u**3 + 3*u wrt s.\nAnswer: -444*u**3 + 72*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-35)\/(-15) + (-2)\/6. Let i(w) = 1 + 0 - 3*w - z*w. Let h be i(-1). Calculate the greatest common divisor of 15 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -585a7a (base 11) in base 8?\nAnswer: -3431037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -590 + 890. What is the greatest common factor of 75 and c?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d2 (base 16) to base 13.\nAnswer: 29b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -160768 take away -15915353?\nAnswer: 15754585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 1. Solve -g*w = -2*w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -276*w**2 + 265*w**2 - 1 + 3 - 3*w - 5 + w**3 as p*w**3 + f*w**2 + g*w + t and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 248 - 203. Let p = -43 + j. What is the smallest value in -19, p, -4?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13931525 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0054501 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -234.11, -1.1, 0.2, 1\/2?\nAnswer: -234.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -342 divided by 4\nAnswer: -171\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 407329063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 58917070 rounded to the nearest 10000?\nAnswer: 58920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + 2 + (38 - (27 - (2 + -9))).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5412?\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 131638524 divided by -2123202\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/8, 4, -0.1, 22.\nAnswer: -1\/8, -0.1, 0.5, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -24*a + 1. Let x(h) be the third derivative of -h**4\/8 - 337*h**2. Give f(x(y)).\nAnswer: 72*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -229 + 2?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-275)\/(-90) - 3)\/1. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r = -13*r - 736. Calculate the least common multiple of r and 4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -23*u + 17*u + 1 + 10*u + 3. Let v(j) = j + 1. Give -d(y) + 6*v(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 2160 = 8*f. Calculate the highest common divisor of 24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 10*l**2 + 10*l - 17. Let z be x(9). Let s(m) = 189*m + 32. Let g be s(z). What is g rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10698 - -32502. What are the prime factors of b?\nAnswer: 2, 3, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -368, -1 in decreasing order.\nAnswer: 1, -1, -368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2168632402 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 2:50 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 2:58 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2175 = 57*s - 178*s + 2181. Suppose i - 35 = 3*j + 7, 3*i = -2*j + 115. Which is smaller: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8919 + 8921. Suppose 0*n = -2*n - 2*v - 14, 2*v + 20 = -4*n. Which is the biggest value? (a) t (b) -2\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1249 + -777.8751. Let o = 777.7473 + t. Let m = 0.242 + o. What is m rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 3*q - 1. Let i be b(4). Suppose -265 = 8*l - i*l. Round l to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-28)*z*z)\/(z**(2\/19)*z*z))**(-18) assuming z is positive.\nAnswer: z**(9612\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2 + 2181763*g - 19635786 = 0. What is g?\nAnswer: 9, 2181754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 12*i**2 - 20*i + 108. Let g be (80\/48)\/((-10)\/(-66)). Is l(g) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioiiooioooiooooooooo. Give prob of picking 2 i.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + i - 2*i = 52, 144 = 3*d + i. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -o - 27, -3*o + 23 = 4*d - 0*o. Suppose 20*x + 12 = 17*x. Let g = d + x. Solve 8 - 2 = 3*s, -g*j - s = -6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/720 and -101\/210.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 1 - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23877.83 + 24077. What is x rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20 - 4)\/(-3 - 2) - 2. Which is smaller: s or -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204\/28 + ((-44)\/385)\/((-6)\/(-15))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 956 and 1291276370?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*o = 0. Solve -4*q - s - 8 = o, -2*s + 4*s = 2*q + 14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 40.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 + 80 = -254*a. Suppose -v + 2*v + 1 = -3*b, 0 = 5*v + b - 23. Let r be (6\/(-2))\/(-3) - -13. Solve -3*n + r - v = a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 696332 (b) -4 (c) 0.03 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 10*r - 16. Let z be n(3). Let v be 21\/(-84)*(2\/2 - z). Let t(y) = 2 + 10*y**2 - v - 11*y**2 - 4*y + 5. Determine t(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-15))\/(2\/10). Let i be (-4)\/51*33\/(-22). Which is the smallest value? (a) s (b) i (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r. Let k(l) = l**2 + l + 1. Let d(q) = 3*q**2. Let j(f) = -d(f) + 5*k(f). Let b(w) = 3*w**2 + 8*w + 8. Let t(o) = 5*b(o) - 8*j(o). What is p(t(m))?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -92*f - 305. What is r(-7)?\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 + -d?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 207*q - 223*q - 480*q to the form t*q + b and give t.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258 divided by -6.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128129 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - -2.6. Let u(g) = -g**3 - 11*g**2 - 11*g - 11. Let j be u(-10). Which is the nearest to j? (a) l (b) 0.5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 1484412*h - 550869746436.\nAnswer: -(h - 742206)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 - 10 = -2*u. Suppose 5*s + 79 = 4*m, 2*s = m - 0*m - 19. Calculate the remainder when u is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -9*s - 30. Let r be w(-4). Let c(y) = -13*y**2 - y - 4. Let k(q) = 15*q**2 + 2*q + 5. Let h(m) = -7*c(m) - 6*k(m). Calculate h(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -789, -1569, -2643, -4005, -5649?\nAnswer: -7569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2022 = -88*n + 1467 - 5513 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*r + 4*s - 29, 2*r - 2*s - 28 = 0. Solve r = y - 3*n, -2*y + 7*y = 4*n + 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1929*h**3 - 1920*h**3 + 5761*h**3 - 1917*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -146*j**2*v**3 + 10*j**2*v**2 + 5*j**2*v + 3*j*v**5 + 17*j*v**3 + 3532*j*v**2 - 2*v**2 + v wrt v.\nAnswer: -876*j**2 + 180*j*v**2 + 102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4520344 (base 7) to base 12\nAnswer: 22ba24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142472, 142474, 142482, 142502, 142540, 142602?\nAnswer: 142694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 114*q + 2 - 25*q.\nAnswer: 89*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.036469 + -0.0400127. Round d to 5 dps.\nAnswer: -0.00354","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-18) + (-4496)\/136800. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859*c + 4726 = 1137*c for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 15 = -6*t. Let w = 2 + -1.9. Let l = 21.067 - 21.057. What is the third biggest value in w, t, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.5 (b) -15415 (c) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111021120121212 + -1?\nAnswer: 111021120121211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 8:46 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 7*k - 10. Let b(j) = 21*j - 90. Let q be b(4). Give m(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 1. Let j(m) = 3*m. Let b(p) = 9*h(p) - j(p). Suppose 2*u + 4*i - 6 = -i, 5*u + 3*i = -4. Let t(n) = 3*n + 2. What is u*b(w) - 9*t(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -365*t - 1479. Determine g(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000129158725 rounded to 6 decimal places?\nAnswer: 0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 - 28*a**2 + 3. Let z(t) = t**3 + 27*t**2 - 2. Determine 2*o(s) + 3*z(s).\nAnswer: -s**3 + 25*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74902 and 17306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1008 and 67158.\nAnswer: 537264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 79*m - 48026. What is the remainder when m is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2192 + 680 = -21*n. Suppose -4*x + 71 + 145 = 0. Calculate the greatest common factor of n and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -307. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*w = -5*m + 168*w + 437, -2*m + 158 = -4*w. Calculate the highest common factor of m and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 0, -3*b - 282*c + 284*c + 123 = 0. Solve 0 = -b*h - 2*h - 86 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4907*m + 44168. Give d(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 2 = -2*p - 8, -u = -2*p - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 2, -6, -8.\nAnswer: -8, -6, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 12*d - 108, -11*d + 7*d - 2*k - 70 = -18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -127874046 divided by -3?\nAnswer: 42624682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 3119\nAnswer: -1559.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35501\/30 + -7993\/6. Let c = 150 + b. Factor -2\/5*o**2 + c*o + 8\/5.\nAnswer: -2*(o - 4)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jtmtjjbjttt.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346796 is divided by 448?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2660*g - 2621*g - 217 + 22 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 + 32*p**2 + 29*p - 22. Give k(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27899, 28535, 29171, 29807, 30443?\n\"Answer: 636*u + 27263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6792000 rounded to the nearest 100000?\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18\/4583 in 4, 11\/3, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -3*h**4\/4 + 46*h**3 + 3984. Factor v(s).\nAnswer: -3*s**2*(s - 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 19*w - 14. Let h be b(18). Let o be 11 + -9 + h - 3. Solve o + 5 = 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from limft. What is prob of picking 1 f and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 6. Calculate the remainder when 22 is divided by z(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/4 - 6*x**3 + 22*x**2 + 168*x + 196.\nAnswer: (x - 14)**2*(x + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 + 9 = -14*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 491165.2cm in meters?\nAnswer: 4911.652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18, -296, -760, -1410, -2246?\n\"Answer: -93*s**2 + s + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f + 6*f + 0 - 2 + 0*f + 0*f - 2*f + (2*f + 2*f - 5*f)*(2 + 1 - 5) + f + 0 + 0 - 2*f - 2 + 2.\nAnswer: 11*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 496 + -449. Suppose 0 = -o*l + 24*l + 4899. Is l greater than or equal to 213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 311840 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.03642*349\nAnswer: 12.71058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-1))\/((2100\/(-25))\/84)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.059 in -0.53, -2, 12\/7?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 291 (b) -5 (c) 3 (d) -791\/17 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1286450 to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + 1 + sqrt(1053) + 1 + sqrt(1053) + -2 - 5*(sqrt(1053) - (-5*sqrt(1053)*-1 - sqrt(1053))))**2.\nAnswer: 1224*sqrt(13) + 304337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.1*-455.\nAnswer: -10055.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 262896 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 2. Let y be 0 + (4 - 0\/(-2)). Give o(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 388209.7s to nanoseconds.\nAnswer: 388209700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -24, -33, -42, -51?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-8) - 2) + 1.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10524 divided by 5262?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 773 divided by 17520?\nAnswer: 773\/17520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 11*b - 162 = 0. Let c be ((-24)\/9 + 2)*b\/228. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-r + 7*r - 3*r) + 13 - 1 + 36*r - 34*r.\nAnswer: 8*r + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 i, 1 a, and 1 p when four letters picked without replacement from {s: 2, w: 1, p: 2, h: 1, i: 1, a: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13763*r = -5*s - 13764*r - 27, 0 = 2*s - r + 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 4, d: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6 - 15\/(-9)*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/2*(-348)\/174\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4148*o - 161770. Determine w(39).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by 30334?\nAnswer: -45\/30334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/7, 1\/7, -0.6, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7)*q**8*q**4\/(q**12\/q) assuming q is positive.\nAnswer: q**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(245) + sqrt(245) + -1 + sqrt(245))**2 - 5*(-1 + sqrt(245) - sqrt(245))**2.\nAnswer: -210*sqrt(5) + 2225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u = -3*t + 326, 4*u - 5*t = -1276. Let f = u - -212. Let d = f + 170. What is the greatest common factor of 17 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1809 - -8989\/5. Let n = o - -738\/65. Let t = 317 - 321. Which is the biggest value? (a) n (b) -0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (753756 - 135) + 19*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648592.\nAnswer: 2, 7, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 785 - 3*d + 793)*(-1 - 1 - 2).\nAnswer: 12*d - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**5 + 242*w**4 + 10753*w**3 - 119294*w**2 - 191364*w + 770040 = 0.\nAnswer: -46, -3, 2, 10, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from {x: 7, s: 9, r: 2}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = v - r, -5*v - 25 = -3*r - 62 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2 (b) 40 (c) -1 (d) -83 (e) 102 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -113848, -227692, -341534, -455374?\n\"Answer: a**2 - 113847*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -796*x**2 - 89*x - 78. Give q(-1).\nAnswer: -785","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026407 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**3\/6 - q**2 + 2*q + 79. Factor g(d).\nAnswer: (d - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/5193 and -5\/2308.\nAnswer: 20772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 311 + 145. Suppose -y = 2*l - a, -4*l + 601 + 1227 = 4*y. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258 = 21*w + 22*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 4:25 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-10)\/(-20))\/(-7*19\/(-7)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001110111100000 (base 2) in base 8?\nAnswer: -716740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*o - 30. Which is smaller: o or -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.421 + -0.374. Let b = 8.7 + -8.647. Let g = b + i. Are -1\/30 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.9, 3, 1\/11, -1, -0.013?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 2*y**2 + 9*y - 9*y wrt y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49605 times 0.138\nAnswer: -6845.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57285 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v - 6. Let r(l) = -3*l + 2. Determine -2*o(b) - 7*r(b).\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l\/(l*(l**(1\/29)*l)\/l)*l)\/l)\/(l**(-33)\/l) assuming l is positive.\nAnswer: l**(1043\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 43. Let n be (-76)\/(-48)*-3*s. Let h = n - 15. Solve 5*b - h*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 - 2*m. Let j be w(-2). Suppose 0 = 2*a + 2*a + j, -2*x - 3*a = 5. What is the nearest to 0.1 in 0, x, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 27*h + 733. Let r be q(-28). Let n(i) = i**3 + 6*i**2 + 2*i - 3. Let t be n(-4). Let a = r + t. Is -2 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m - 17 + 31 - 23)*(-4 + 4 - 2) as h + z*m and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*r + 181, 5*h + 50 + 27 = 2*r. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8*y*y**(-5)*y*y*(y*y\/(y**(-2)\/y))**43)**(-1\/28) assuming y is positive.\nAnswer: y**(-221\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -2*c - 5*f, c - 3 - 71 = -5*f. Let t(q) = -q**2 - 58*q - 395. Let a be t(-50). Differentiate 109*l**3 - a + 16 - c*l**3 wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 take away 1316?\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 12852.\nAnswer: 51408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*p - 7 = 0, -q + 5*p + 0*p - 11 = 0. Suppose 5*g - 5*z - 85 = 0, 3*g = -q*z + 12 + 60. Does 7 divide 288\/g + (-4)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 1\/120*l**6 + 0 + 0*l - 1\/15*l**5 - 1\/2*l**3 - 1\/8*l**4 - l**2. Let j be k(5). Solve -5*t = j*b - 2*b, b = -4*t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {y: 5, t: 7, j: 1}?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**3 - 525315*s**2 + 3152030*s - 4202760 = 0 for s.\nAnswer: -105069, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96634, -94517, -90992, -86059, -79718?\nAnswer: -71969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1, -4260154\/9, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9509069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - h + 19 = 0, 3*j + h - 19 = 5*h. Suppose -5*i + 6 + 8 = -4*d, -d - j = -2*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c - 1. Does 4 divide b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyby. What is prob of picking 2 y?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 5*l + 3, -2*u = l - 7. Suppose u*n - 8 = 2. Let a(x) = -4*x**3 + 5*x**3 - x - 6*x**2 + 4*x + x. Determine a(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 418464 and 8968.\nAnswer: 469098144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 133*t + 6. Let u be v(1). Let b = u + -121. Solve 4*d = c - 13, 0*d + 4*d - 2*c = -b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2130 + -57292?\nAnswer: -55162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 12:12 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 5 = 0, -5*x + 0*x - 100*i - 101*i = -298*i + 102*i + 165 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 10414.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -658 by -7.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -6*p - 10. Let y be s(-7). Let u = 231 + -227. Let f = y + u. 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: Calculate ((-60)\/(-72)*112\/(-70))\/(-32).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133 + -88. Let i be 1458\/n - 4\/10. Let r(u) = 12*u**2 - 11*u - 2. Let l be r(2). What is the greatest common divisor of l and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 67, 1 in ascending order.\nAnswer: -4, 1, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -153 - -187. Let m = b + -29. Solve -m*t + 19 = -6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52536586 and 1948?\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -58. Suppose 4*k - 2*t + 0*t = 10, -15 = 2*k + 3*t. Suppose q - 2*q + 60 = k. Calculate the highest common factor of g and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4301, 34459, 116315, 275717, 538513?\nAnswer: 930551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*a - 5 = 0, 2*a - 4*a - 5 = -u. Let w(t) = 19*t**2 + 3*t + 2. Let g be w(-5). Find the common denominator of (51\/9 + u)*g\/40 and -17\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -195, -372, -549, -726?\n\"Answer: -177*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.228564nm?\nAnswer: 0.000006228564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 68*m + 577. What is the remainder when h(11) is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -336 and -341 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 22*n**2 + 163*n + 42. Calculate t(-6).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - a - 7 - 160 = 0, 3*o - 3*a = 132. List the prime factors of o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (231*n - 114*n + 208*n)*(-2*n + 2*n - 2*n)*(0*n + 0*n + n) to w*n**3 + b*n**2 + g + o*n and give w.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79851 by -5.\nAnswer: 79851\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*180\/(-680)*-17?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5638 (b) -0.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 9) to base 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*m - k, -2*m - 5*k + 0 = 4. Suppose 14 = a - m*z, -a - 2*z + 2 = 4*a. What is the derivative of -662*d**2 - 7*d**4 - 19 + 662*d**a wrt d?\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 4482*u**2 - 4482*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -789*s = -792*s + 117. Solve 56 = s*i - 32*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.69 - -0.31. Let h = 22.6 - y. Let s = 337 - 339. Which is the closest to s? (a) h (b) -0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g - 4. Let x be a(2). Let m be (x\/60)\/((-1)\/(-5)). Let c be (m - 0 - 0)\/(22 - 21). Is c at most -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7953124.2 to the nearest one thousand.\nAnswer: 7953000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 571 divide 2418185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*g - 16, -5*y + 4 = -4*g + 3*g. Let c be (4 - 4)*(-1 - y). Suppose -2*u + c*u = 8. Round u to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3287*o**2 - 3318*o**2 + 6591*o**2.\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 0*j**3 - 14 + 7 - 4*j**2. Suppose 5*o = 4*w - 420 - 161, -4*o = 4. Let q = w + -139. Calculate t(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-147)\/273*(3 + (-19)\/2). Factor -w*t - 2 - t**2 + 1\/2*t**3.\nAnswer: (t - 4)*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 26 = 36, 0 = x + 2*w - 38. Solve -x*l - 40 = -8*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 3)\/((-6)\/6). Let v(z) = 2*z + 11. Let q(i) = -i - 11. Let w(p) = 5*q(p) + 4*v(p). Let o be w(4). Sort o, g, 6, -1 in descending order.\nAnswer: 6, o, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -74 and -15.394.\nAnswer: 1139.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + q = -10, -5*q + 10 = 4*p + p. Suppose 2*y + 5 = 3*l - 3, 0 = -5*l - 20. Let h be y\/(-56) + p\/12. Are 0 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 + 63.53. Let r = v + 0.4699919. Round r to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3744\/2080*110\/(-12))\/((-6)\/(-8)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**3\/3 + 4*b**2 - 14*b + 30. Let m be s(3). Which is smaller: -1\/131 or m?\nAnswer: -1\/131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -2\/39, 1606\/9, -2.\nAnswer: -2, -2\/39, 1\/6, 1606\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 313325191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020151 (base 6) in base 10?\nAnswer: -49315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2522 (base 6) in base 16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*w + 750 = -130*w - 3497 - 3602 for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 80181096 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hioi when four letters picked without replacement from {o: 7, h: 3, i: 3}.\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 2, c: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.7 - -25. Let h = l + -0.3000246. Round h to six decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*((2 + sqrt(832))*6 + sqrt(832) + (sqrt(832) + -3*1*sqrt(832) - sqrt(832)))*-5*1)**2.\nAnswer: -42050000 - 2400000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 15) in base 6?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 902*i**2 - 686*i**2 - 219*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001595 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/7192765 and 19\/13027.\nAnswer: 50349355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15525013 + 524?\nAnswer: -15524045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4. Solve 3*x = -4*v + 7, -x + t*x + v - 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/2)*q)\/(q\/(q\/((q\/q**(-12))\/q)*q)))**(-3\/29) assuming q is positive.\nAnswer: q**(69\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 299809*v. Let t(r) = 2*r**2. Give l(t(j)).\nAnswer: 599618*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b\/(b**3*b))\/b)*b*b)**(-2\/107))**(2\/45) assuming b is positive.\nAnswer: b**(-32\/4815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00339 times 235064?\nAnswer: 796.86696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 60837950 divided by -2433518\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 94549 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: b\"What is the zth term of 108, 497, 912, 1359, 1844, 2373, 2952?\n\"Answer: z**3 + 7*z**2 + 361*z - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y + 36. Let z(p) = -8*p + 99. Let l(w) = 11*n(w) - 4*z(w). Let q(u) = 0 + 5*u + 0. Give q(l(c)).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -720 + 1764. Is 87 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7344*n**3 + 9*n**2 - 86*n - 67. Let i be v(17). What is i rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 9*l**2 + 19*l - 11. Let g be b(-5). Let d(c) = -5*c. Let z(r) = -140*r. Calculate g*z(i) + 170*d(i).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1854 - -442. Does 82 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6510)\/1953 - (-86)\/6. Let o(w) = -16*w + 65. Let l(y) = 3*y - 13. What is j*l(p) + 2*o(p)?\nAnswer: p - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2\/5*u**2 + 8\/5 - 8\/5*u = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*w - 100*w - 545*w.\nAnswer: -771*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9131 - 9130.999999662. Round i to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 288 and 72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 1700*u**2 - 5145*u.\nAnswer: 5*u*(u - 3)*(u + 343)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.4 + 2.465. Let v = c - -0.02. What is v rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 4*u + 797 = 805, 2*c = -2*u - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 - 3179160*o**3 + 673816603200*o**2 - 47608287188368000*o + 571202422163040000.\nAnswer: 5*(o - 211940)**3*(o - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57688 divided by 8650.\nAnswer: -28844\/4325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -2\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*u + 140. Suppose 32200 = -3*b + u*b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**2 + 0 + 0)*(3*a - 5*a + a)*(911 + 905 - 1821 - 52*a) in the form b*a + h*a**2 + t*a**4 + w*a**3 + c and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = b + 476, b + 2*b = 5*x - 478. Let t be (x - 2)*4\/6. Let c = 141 - t. Calculate the remainder when c is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 35*d - 63*d + 27*d)*(13*d**2 - 3*d**2 + 8*d**2 + (6 - 6 - 2*d - 8)*(-2*d - 4*d + 7*d)).\nAnswer: -16*d**3 - 8*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*l**3 - 14*l**3 - 22*l**3 - 2*l**4 - 2*l**2 - 18*l**3 as p*l + s + c*l**4 + g*l**2 + z*l**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023384 to 6 dps.\nAnswer: -0.000234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 2 + 2*s**2 + 9*s**2 - 4*s**2. Let y(i) be the third derivative of i**4\/24 - 361*i**2. Give n(y(d)).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -6) + (-64 - -59). Let r(o) = 2*o**3 - 3*o**2 - 4*o + 8. Let v be r(d). Let k = 1 + -2. Sort k, v, 28, 2 in decreasing order.\nAnswer: 28, v, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 984 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r - 15. Let t be p(9). Suppose -z - v = 0, -t = 2*z - 3*z + 5*v. Solve -3*j + d + 2 = 0, 3*j + d - 3*d + z = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzzr when four letters picked without replacement from {z: 2, r: 9, h: 6}?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 78 = -v + 25, -3*v + 4*n = -324. Suppose -5*m + 5*y = -80, -5*m - 2*y = -0*y - 66. What is the highest common divisor of m and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, -5\/2, 1, -31.\nAnswer: -31, -5\/2, 0.5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k + 5. Determine i(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5040 and 6832.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299786290?\nAnswer: 2, 5, 3943, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 + 9*z**2 - 268*z - 1520. Give u(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 9*j + 12. Let t be g(-10). Let v be (-2)\/1 - (t - 49). Suppose -2*l = -l - 9. Calculate the highest common factor of l and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2)**38\/(s**(-3\/2)\/s**(-8)) assuming s is positive.\nAnswer: s**(139\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**3 + 2*n**2 + 4*n**3 - n**2. Let b(u) = 8*u**3 + u**2. Let w be (8 + 0)*2\/4. Let t(y) = w*a(y) - 3*b(y). Find the third derivative of t(d) wrt d.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/750071 or 0?\nAnswer: -1\/750071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = 19 - 549. Suppose -12*a = -r + 17. Suppose 0 = a*h - b + 695995, -3*b + 61892 = -4*h - 866093. What is h rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/365197 and -127\/507906?\nAnswer: 913722894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 13*m + 1. Let k be q(14). Solve -f = -3, 2*g - k = 3*g - 5*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/41)\/(g**(-2\/21)\/g))**0 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 6*r**2 - 9*r**2 - 2 - 22 + 2*r - 31 in the form j + u*r**2 + z*r and give j.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.921023nm to micrometers.\nAnswer: 0.000921023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p = 109 + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 560, 2 in increasing order.\nAnswer: 2, 9, 560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -62*y**4 + 47*y. Let j(l) = -2*l**4 - l. Let g(w) = -c(w) + 3*j(w). What is the second derivative of g(n) wrt n?\nAnswer: 672*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 - 3 + 36*i + 1 + 3 - 5. Let s be o(-9). Let p = s - 0. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000493602 rounded to five decimal places?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67555 divided by 5116.\nAnswer: -67555\/5116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 11:17 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 5*d - 2*d)*(-d - 2*d + 5*d) - 3*d**2 - 2*d**2 - d**2 + 3*d**2 - 3*d + 3*d in the form y*d + a*d**2 + s and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78035?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -33, -81.\nAnswer: -81, -33, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 5*s**2 - s + 4. Let b be z(-5). Let i be (-4 + b + -5)*-1. Let y be (-3)\/6*(0 + -24). Solve 4*j + i - y = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1419 - 43748.\nAnswer: -45167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 696*z - 132 wrt z?\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12042729?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0.08, -5, -2, 197 in increasing order.\nAnswer: -5, -2, 0.08, 3, 4, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 5*d + 2*d - 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 521 - 521. Let u be (-10)\/55 - (-20)\/(-11). Let k = u - -5. Solve -2*c + k*c = t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4000959 (base 11) to base 8.\nAnswer: 33022445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/11 - 9892*p**4\/11 - 15236808*p**3\/11 - 6890109308*p**2\/11 + 6905356010*p\/11 = 0. Calculate p.\nAnswer: -2071, -805, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -3 + 4 + -11 + (-13 + -7 - -7)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 1. Let z(v) = -v**3 + 5*v**2 + 14*v + 27. Let g(p) = 5*h(p) - z(p). Calculate the remainder when g(12) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1518 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 566 + 563 + r - 1129 - 2*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114.8 * -0.8.\nAnswer: 91.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -88, -102, -116, -130?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*g + 72*g + 59*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101210100 - 1?\nAnswer: -101210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490505527?\nAnswer: 7, 212929361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7475458, 7475456, 7475452, 7475446, 7475438, 7475428, 7475416?\nAnswer: 7475402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (60\/(-24))\/((-50)\/920). Let i(u) be the second derivative of 1\/5*u**5 + 2\/3*u**3 + 1\/2*u**4 + 0 + 1\/2*u**2 + h*u + 1\/30*u**6. Factor i(k).\nAnswer: (k + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - k - 4*k + 12*k - 35 - 8*k to the form a*k + w and give w.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - 140*k**2 - 5*k + 19. Let m(i) = 2*i**3 - 138*i**2 - 4*i + 17. Determine -4*g(v) + 5*m(v).\nAnswer: 2*v**3 - 130*v**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(0 + 3 - (-24)\/(-4)). Solve z = 2*j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1888 and 772576?\nAnswer: 45581984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18374851.07 and 7.48.\nAnswer: 18374858.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*q - 4*m + 9, 3*q - 4*m = 15. Calculate the greatest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 403301?\nAnswer: 403304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2822 - 561.7178. Sort x, 0, -2.\nAnswer: x, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36105b - 7?\nAnswer: 361054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203915?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 166111496 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1513 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4818 + 19277\/4. Let n(z) be the first derivative of 0*z - 7 + 0*z**2 - m*z**4 + 10\/3*z**3. Find k, given that n(k) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4.25. Let y = -4.75 - k. Let i = -1 - -4. Which is the closest to -2? (a) y (b) -1\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 135824306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20827 + 34763. Find the second derivative of 79*h**2 + 13960*h - v*h + 2 - 6 + 0 wrt h.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -316 - -316. Solve u = -12*c + 7*c - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 48 = 3*s, 2887*w = 2883*w - 3*s - 48 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2212021021 - -221?\nAnswer: 2212022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from stzilliq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -2, 18, 46, 82, 126, 178?\n\"Answer: 4*t**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 9. Suppose z*h + h = 0. What is the lowest common multiple of (-1 - h)\/((-2)\/12) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*x + 372*x**4 + 2290 - 2290)*(-2*x + 3*x - 3*x).\nAnswer: -744*x**5 + 20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 1. Let i(n) = -13*n - 10. Suppose 65058*b - 65041*b = -374. Determine b*a(p) + 2*i(p).\nAnswer: -4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*-4*4\/(-32).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147 + 111. Let d = -36.000000242 - n. What is d rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 223?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1823963016 to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/104 and 43\/65.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4 = -x, 0 = c - 2*c - x + 4. Suppose -45 = -c*i - i. What is the smallest common multiple of 71 and i?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43334815 and 1145.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**5 - 556*n**4 + 31274*n**3 - 437672*n**2 - 2143928*n - 2278016 = 0.\nAnswer: -2, 37, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -396 - -398. Let u(q) = 8*q - 12*q - 35*q**3 - 4*q**p + 48*q**3 - 4. Let o(h) = 144*h**3 - 45*h**2 - 45*h - 45. Give -4*o(g) + 45*u(g).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/930 and 1\/1151185.\nAnswer: 6907110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 42524011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83842 is divided by 4643.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**4\/12 - 188*x**3\/9 + 3007*x**2\/2 - 5766*x - 1134. Let d(u) = 0. What is u?\nAnswer: 2, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**4 - 6*n**4 - 2*n**3 + 56*n**2 - 55*n**2 as w*n**2 + r*n**3 + q + b*n**4 + m*n and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67\/284 - -1\/71. Let n = -1.4 + 1. Which is the biggest value? (a) g (b) n (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 44469 and 0.3?\nAnswer: 44468.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49 or 66456?\nAnswer: 66456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6723*f**2 - 3888*f**2 - 8344*f**2 + 2225*f**2 + 3071*f**2.\nAnswer: -13659*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from raglrrrg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 0.0442?\nAnswer: 0.0442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -588*o + 27716. Calculate m(47).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/c**(-1)*c*c**1)**(2\/167)\/(((c*c**1)\/c**(-2))\/(c*c**(-2\/5))**14) assuming c is positive.\nAnswer: c**(3734\/835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 12 (b) -2\/9 (c) -4 (d) 9\/7 (e) 1 (f) 19\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpp when three letters picked without replacement from pcccpcccc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 5:13 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -513 + 111. Let o = h + 1204\/3. Put 1\/2, -3, o in decreasing order.\nAnswer: 1\/2, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138296 and 72664?\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/11 (b) 5 (c) 0 (d) 1013 (e) 8 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/12)\/((-22)\/(-20493)). Suppose 0 = 87*c - 85*c - x. What are the prime factors of c?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**3\/3 - 4*q**2 - 36*q + 3. What is the units digit of o(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(8\/17))\/((-20)\/(400\/5))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9487 - 6441. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 16*h + 108. Let r(x) = 9*x + 54. Let k(v) = -5*r(v) + 3*w(v). Calculate k(-23).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j, 5*f - 3*j + 0*j - 20 = 0. Solve 3*g + 5*a - 37 = 0, -f*g - a + 21 = -0*a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-24\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8))\/1*(-12)\/12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 1:44 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2103.\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 901*p + 169122 = 907*p. What are the prime factors of p?\nAnswer: 71, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49 and 168671076.\nAnswer: 1180697532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k - 4. Let l be p(3). Suppose 11*d + l = 4*d. Let g be ((-5)\/(-15))\/(d\/(-3)). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -2032333?\nAnswer: 2032335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -13. Let m be (-3 + 24\/4)\/p. Let i(r) = -1. Let j(v) = 3*v**2 - 3. Give m*i(a) - j(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 118\/180 + -1 - 1404\/(-3159)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*c - 45*c**2 + 68*c + 52*c**2 + 59*c - 200*c.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -101*k - 2571. Let n be g(-22). Sort 5, 3, n in ascending order.\nAnswer: n, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**6\/24 - o**4\/3 + 2*o**2 + 8. Let k(a) be the second derivative of t(a). What is the second derivative of k(m) wrt m?\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**1*t)\/(t\/t**(1\/5))*(t*(t\/((t**(2\/7)\/t*t)\/t))\/t*t*t)**(-38))\/((t**(-1))**6\/(t**3*t\/(t**2*t))) assuming t is positive.\nAnswer: t**(-4583\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 688.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*n**5 - 442*n**4 - 2376*n**3 - 3478*n**2 - 1464*n - 184 = 0. What is n?\nAnswer: -2, -1\/3, -1\/4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r - 6. Let d be o(5). Let p be -1 - (-6)\/d*-3. Does 10 divide (24 - (-3)\/p)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3158538097.\nAnswer: 11, 13, 22087679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1335505 is divided by 667649?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y**(1\/11)*y)\/y)*y\/y**(-12)*(y\/y**(-11))\/((y**(-14)*y)\/y*y) assuming y is positive.\nAnswer: y**(428\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -9.955.\nAnswer: -10.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q - 2*q)*(-2 + 3 - 5)*(-9 + 2 + 0).\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 + 6*u**2 + u**2 + 2 + 0*u**2 - 5*u + u**3. Let z be b(-4). Solve -5*x = z + 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/163511 and 41\/7433239.\nAnswer: 839956007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 + 4490*x - 178000 = 0. What is x?\nAnswer: 40, 4450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902040?\nAnswer: 2, 3, 5, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 279 - 285.58. What is q rounded to one decimal place?\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 11523316?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 3*g + 3*g)*(-5 - 9 + 10) + (7 + 5 - 2)*(-4*g + 3*g + 0*g).\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/16502950 and 67\/82860?\nAnswer: 99017700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 9*p**3. Let x be 11\/(-9) + 4\/18. Let w be a(x). Let i(m) = m + 11. Let t be i(w). Solve -8 = -n + z, 12 = -n + t*n - 2*z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 119\/5 (c) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 127802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u + 11*u + 15 = -17*u, 5*t + 5*u = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-1176)\/102)\/4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -990, 1, 3, -4, -3 in descending order.\nAnswer: 3, 1, -3, -4, -990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - h**2)*(-1562 - 2060 + 282 - 753 - 4594)*(2 - 3 + 2).\nAnswer: 8687*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*w + 32 = -111*w. Calculate the greatest common factor of 32 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v. Let r(n) = 394*n**2 + 1066*n - 1066*n. What is y(r(a))?\nAnswer: -788*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 15*d + 37. Let s(i) = 2*i**2 - 6*i - 5. Calculate the remainder when s(6) is divided by j(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -43. Suppose -3*o - 13*l + 239 = -21*l, 0 = -4*o + 2*l + 284. Calculate the greatest common factor of o and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, l: 1, j: 2, n: 1, k: 1, u: 1}. What is prob of sequence lukp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z + 53 + 77 = 0. Let b be 12\/7 + 4*z\/(-70). Solve 8 = b*p - 0*p - 4*j, -5*j = 2*p + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 24 = 5*y, y + 0*y = -2*d - 7. Let q = d + -26. Let v be 36\/q - (-7079992)\/(-6). Round v to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29175008.\nAnswer: 2, 911719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -2. Let i = -9 + 14. Suppose -25 = -i*k + 20. Solve -4*y - 10 = w*c, 3*y = 5*c + 2*y + k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 14*d - 844 = 0. Let i = d + 202. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -15*u**4\/2 - u**2 + 10*u - 881. What is the second derivative of h(x) wrt x?\nAnswer: -180*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -695 + 700. Solve b*f = 6*f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3236 and 116468494.\nAnswer: 1618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6240 and 288?\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(72)*-1)\/((sqrt(144) - -1*sqrt(144)) + 1*sqrt(576)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.45803285 + -1.458. What is s rounded to six dps?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 3. Let l(p) = -8 - 16*p - 22 + 54 - 8. Calculate 2*l(m) + 11*y(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8197*s + 8 + 4474*s + 4578*s + (s + s + 0*s)*(0 + 4 - 2).\nAnswer: 859*s + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/5 and -60\/1211.\nAnswer: 6055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1391324 divided by 3377.\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 650 - 415. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 8*i - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/5 - 71*v\/5 - 60.\nAnswer: (v - 75)*(v + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 421 (base 11) to base 6.\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -816*x - 56. Let n(w) = 43*w + 3. Let c(g) = -3*l(g) - 56*n(g). Let p(u) = -u**2. What is p(c(f))?\nAnswer: -1600*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*2\/(-8)*-1. Let y = -21 - -20.35. Let b = -1.05 - y. Sort b, v, 4 in decreasing order.\nAnswer: 4, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -3*n**6\/8 - 27*n**3 + 49*n**2. Find the first derivative of z(y) wrt y.\nAnswer: -135*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k. Let c(r) = 29*r. Determine f(c(x)).\nAnswer: 203*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 101437776 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18 (b) -5 (c) -0.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 11, 0 in increasing order.\nAnswer: -4, 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133 or -272?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96161 divided by 13.\nAnswer: -7397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - ((21 - -5) + -24)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21743*p**2 - 12*p + 22?\nAnswer: 43486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -19*d**7\/105 - d**6\/24 + d**5\/30 + 35*d**4\/6 - 2*d**3\/3 + 11*d**2 + 63*d. Find the third derivative of w(o) wrt o.\nAnswer: -912*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 - (-164 + 108) - (5 + (-1 - -2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22926 - -24117.9. What is n rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 273839\/64008 - 3\/7112. What is the common denominator of v and 32\/2457?\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 15*t + 23. Let n be g(-16). Suppose 3*z - 20 = n*z. Is 24927\/105 - (-2)\/z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2389 + 4183 - 2722)*(0*t**4 - 3*t**4 + t**4)*(2 - 2 + 2).\nAnswer: 3712*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 1567*c + 8883. Let h be j(-6). Is h at least -2599\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00185243 rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**3 + 5*a**2 + 4*a. Suppose -11 = -2*j - q, 0 = -4*j + 4*q + 37 + 15. Let y(r) = -5*r**3 - 8*r**2 - 6*r. Determine j*z(b) + 5*y(b).\nAnswer: -b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 620?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.26358031 rounded to 2 dps?\nAnswer: 1.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.04164 (b) 4\/81 (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*w + 36 = 0. Let o be 10\/45 - 277\/w. Suppose 0 = -5*x + 34 + o. Calculate the remainder when 50 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**5\/100 + 3*x**4\/40 - 3*x**2. Suppose t(n) = 0. Calculate n.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6365, -12913, -19465, -26021, -32581?\nAnswer: -39145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t**2 + 38*t - 18. Let u be d(-8). Which is the closest to 1? (a) u (b) 2\/9 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18)*4\/6.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160027277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4 + 45)*(-3*q**3 + 0 + 0)*(1 + 7 + 5) + (-4*q**2 + q**2 + 4*q**2)*(2*q - 3*q - q) + q**3 - 2*q**3 - q**3.\nAnswer: -2188*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -0.066231?\nAnswer: -0.066231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1368067 and 15579.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -359\/3, 13, 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3700245068 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 33 (b) 0 (c) 3 (d) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/5 in -0.1077, -309, 0?\nAnswer: -0.1077","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14264413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216)*2 + 1)**2 - (1 + -1 + sqrt(1216)))*6 + 3*((sqrt(171) - sqrt(171)*2*-6)**2 - 5*-1*sqrt(171)).\nAnswer: 189*sqrt(19) + 115887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16187967 and 18276?\nAnswer: 4569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 68, 903, 2424, 4631, 7524, 11103?\n\"Answer: 343*q**2 - 194*q - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7549 + 12176. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 95 = -3*f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(352) - sqrt(352)) + (2*sqrt(352) + sqrt(352) + sqrt(352))*1 + sqrt(352))\/((-2*sqrt(880))\/(sqrt(60)\/sqrt(108))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*a = 3*a - 41*a + 1246 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 - 68.00000029. Round n to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 86*l + 75. Calculate i(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, q: 6, b: 4, k: 3}. What is prob of picking 2 q?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37231693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -15. Let l = 6 + u. Let b(v) = -v**3 - v**2 - v. Let j(z) = 3*z**3 + z**2 + 2*z + 7. Let o(a) = -2*b(a) - j(a). Determine o(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.12 from -289.\nAnswer: -288.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*v - 45*v + 15203424 = 87*v. What is the ten thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10 - 23*y**4 + 1 - 6 wrt y?\nAnswer: -92*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 2*f - f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) - ((sqrt(288)*-2)**2 + -3) - (sqrt(288) - (1*sqrt(288) + -3)**2) - ((-1*sqrt(150))\/sqrt(3) + 3).\nAnswer: -855 - 67*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 854 + -336. Is p a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - c + 2 = 0, 15377*c = -3*o + 15380*c + 36 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 + 171. Suppose -k = -14*n + 723. Let l = -58 + n. Which is greater: -2\/333 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 6:50 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(7\/(-40))*-4. Suppose 0 = -8*v + 4*v + n. Is (-3 - (-7)\/2)*v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 + -0.06. Let q = -5 + 10. Which is the closest to k? (a) q (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.3 (c) 1\/14 (d) 62192\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/54040 and 92\/399.\nAnswer: 3080280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87342 = 35*k - 83948. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -w - 25820. Let i = 62105\/12 - w. Let s = 9942 + -338067\/34. What is the common denominator of i and s?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/2 + -12 + 5. Let t = -4 - -6. Suppose 0 = j + 4*j - 15. Sort j, v, t in increasing order.\nAnswer: v, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 553, 554, 541, 508, 449, 358, 229?\n\"Answer: -r**3 - r**2 + 11*r + 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11952938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9151 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**4 + 78*y**3 - 484*y**2 - 1968*y - 1408 = 0?\nAnswer: -44, -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/(9\/(-96)). Suppose -1160 = -3*q - 2*q. Let b = q - 152. What is the greatest common factor of i and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 161*d - 4. Let w(o) = -7560*o + 189. Let c(t) = 189*r(t) + 4*w(t). Let s(u) = -5*u**2. Calculate s(c(y)).\nAnswer: -178605*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3, -9, -7, 4, -199?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v = -4. Let y(f) be the third derivative of 0 + 3*f**2 + 1\/120*f**6 + 0*f**3 + 0*f + 1\/12*f**4 - 1\/15*f**5. What is y(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(8) + -1).\nAnswer: -1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 55d7 (base 16) to base 7\nAnswer: 121032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jij when three letters picked without replacement from {i: 1, j: 4, r: 9}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/972 and 49\/167346.\nAnswer: 1004076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -15*o**3 + 4*o**2 - 4*o - 4. Let x(k) = 31*k**3 - 7*k**2 + 7*k + 7. Calculate 7*a(v) + 4*x(v).\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 11*b + 15. Let z be s(-11). Let x be z\/(-10)*44\/6. Let r = 11 + x. Solve -4*k + k = r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaaaupbaiiiiiaii. Give prob of picking 1 u and 1 a.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13312 is divided by 43.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829411527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -28. Is (21\/12)\/(-1)*q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36083904 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**9\/1008 - t**8\/140 + t**7\/70 - 5*t**3\/6 + 12*t**2. Let n(s) be the first derivative of m(s). Solve n(l) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3087, -6188, -9287, -12384, -15479, -18572?\nAnswer: -21663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4833 + 58093\/12. Calculate the common denominator of k and -61\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -222*p**2. Let s(m) = -m**2. Calculate x(s(b)).\nAnswer: -222*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 + 3*c**2. Let n(q) = q**3 - 4*q**2 - q. Let w be 0\/(-2) - (-12)\/3. Let k(l) = w*y(l) + 3*n(l). What is the second derivative of k(b) wrt b?\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.23, -4, 3\/5, 6, -5\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -23, -20, -15?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -0*q. Solve 4*n + 4 = -k, 2*k + 8 = 3*n - q*k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-2)\/(2\/(-1)). Suppose 2*d + 12 = 3*j, 3*j - 5 - 7 = -q*d. Let u = -5639\/8 - -704. Is d at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13 (b) 35\/83 (c) 12 (d) 31\/4 (e) 5 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-54)\/(-1))\/2*(-2)\/(-6). Solve -4 = 7*g - t*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -226092489?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13362139 and 2844.\nAnswer: 481037004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 464\/91 + -70\/13. Sort 4\/7, -0.05, u, -1\/3 in ascending order.\nAnswer: -1\/3, u, -0.05, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 - -126. Let r = k + -61.99999785. What is r rounded to seven decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 532*x + 771078. Give j(-502).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894 is divided by 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 252\/(-5) + 10\/25. Let p = 3287 + -3289. Let t be (8\/20)\/(p\/j). Is t bigger than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 3*g**2 - 8*g - 1. Let k be v(-6). Let h = k + 128. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a - 52. Give p(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**3\/8 - 67*g**2\/4 + 895*g\/8 - 381\/4 = 0.\nAnswer: 1, 6, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 4, -117, -96 in decreasing order.\nAnswer: 4, 0, -3, -96, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3\/5 + 6838*a**2\/5 - 1153217*a\/5 + 229276 = 0.\nAnswer: 1, 172, 6665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-1.261\nAnswer: -0.5044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126343649.\nAnswer: 126343649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (sqrt(147) + 4)**2 + sqrt(12)\/(sqrt(24)\/(sqrt(18)\/sqrt(3)))).\nAnswer: 285*sqrt(3) + 835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 191, 194, 197?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 304, 447, 588?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-71)\/(1 - 2) - -1. Suppose 5*l - 63 = j. Let m = 8 + l. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*1*sqrt(102))\/(1*(sqrt(6) + sqrt(6) + sqrt(42)\/sqrt(7))).\nAnswer: -2*sqrt(17)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 20*i - 15. Let w be h(-19). Suppose 0 = 4*g + w*g - 864. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8450 by -130.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10192\/(-168) + 55 - 1\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.9519832 to one decimal place.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 2:47 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*(-5)\/2*2\/64*16.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 4*k**2 - 3*k - 1. Suppose 0 = 8*b - 9*b - 3. Let g be 2\/8 - (-7)\/4. Let v be (g - 1)*(0 + b). What is t(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 126*g**3\/5 - 196064*g**2\/5 + 76278232*g\/5 - 4842272\/5.\nAnswer: 2*(g - 778)**2*(63*g - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.1, -249, 0.01?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((n*n\/n**(-6)*n)\/n)\/n)\/n)\/n)\/n*n*n\/(n\/(n**19*n)))**(-23) assuming n is positive.\nAnswer: n**(-575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.82 - 0.22. Let u = j - 4. Let q = 1.4 + u. Is q less than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 141, -3.6, 69?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 5*l + 7. Calculate x(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2361862 to three decimal places.\nAnswer: -0.236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.164562983 rounded to 5 decimal places?\nAnswer: -0.16456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 12*t + 5*b = 82, 0 = t + 2*b - 28. Suppose -180*n - t = -183*n. Put -1, 5, -4, n in increasing order.\nAnswer: -4, -1, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2296550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 108 + 3\/(-9)*3 + 0. Let h = -37 + f. Calculate the remainder when h is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/56)\/(837\/248)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115354, 115361, 115368, 115375?\nAnswer: 115382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + y. Let c be 2\/8 - (-595)\/20. Let a = -189 + 209. Let u be (4\/3)\/(a\/c). Calculate d(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Let n = 30 - 28. Let q be x(n). Is 3 a factor of q + 124\/16 - 1\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/63348 and 55\/1520352?\nAnswer: 1520352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-35)*(-5)\/(-13).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102736 is divided by 287?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3 - (-12155)\/(-165). Sort -5, b, -1 in decreasing order.\nAnswer: -1, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138.400478 - -138.4. Round j to 5 dps.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12, -39, -88, -171, -300, -487?\n\"Answer: -2*i**3 + i**2 - 16*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**5\/30 + 31*c**3\/3 - 29*c**2 + 60. Let i(a) be the second derivative of p(a). Let b(x) = x. Give b(i(m)).\nAnswer: 2*m**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvjjjjjvvjjv.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - -6*(sqrt(85) - 2*sqrt(85))) + sqrt(85) - sqrt(85) - sqrt(85))\/((-3*sqrt(5) - sqrt(5))*6).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 55 = 5*j + 40, -2*j + 18 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 830, 805, 766, 707, 622, 505, 350, 151?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {c: 9, d: 10}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 + -4.99. Let k = -0.5 + 3.5. What is the closest to 0.2 in r, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 10*p + 3\/2*p**3 + 0 + 3\/4*p**4 + 1\/20*p**5 + 0*p**2. What is the tens digit of c(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.9457 rounded to 1 decimal place?\nAnswer: 27.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -401734, -401733, -401732, -401731?\n\"Answer: g - 401735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5748094 litres to millilitres.\nAnswer: 574.8094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Suppose w = -2*j + 11 + 41. What is the remainder when j is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -6*q + 514. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -448\/85 + 52827\/9265. Calculate the common denominator of 5\/4 and m.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840329 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.88362757 + -222.\nAnswer: -220.11637243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(f**4 + 2*f**4 - 12*f**4).\nAnswer: 27*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.81717614 to 4 dps.\nAnswer: -0.8172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 691*m + 5007 + 8122 = 0 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-183)\/122*(-27)\/126)\/((-6)\/32)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -3)\/(3\/(-6)). Let i = 11 - 7. Determine p, given that 5*p**3 - 4*p**v + 1 + 2*p**i - 2*p**5 + 1 - p**3 - 2*p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 280797, 1123177, 2527143, 4492695?\n\"Answer: 280793*c**2 + c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0*r - 2 - 6*r + 25*r to the form y + c*r and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23a1 - 2a?\nAnswer: 2372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11128 divided by 4?\nAnswer: 2782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-303)\/9*3 - 8\/(-2). Let d = -96 - o. Solve 4*n = d - 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:19 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 125, 85, 9, -115, -299, -555, -895?\nAnswer: -1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/2)\/h)**(-50))**(-4\/5) assuming h is positive.\nAnswer: h**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1524 = 5*l - 1546. Let s = l + -303. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -350534580 divided by -1210?\nAnswer: 289698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*(-1*sqrt(144) + sqrt(144)))\/(-2*sqrt(512)))\/(((sqrt(324)*1)\/sqrt(12))\/(sqrt(15)\/sqrt(45))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + q - 1788. Let f(k) = 2*k**2 - 2*k + 1837. What is -3*f(y) - 4*o(y)?\nAnswer: 2*y**2 + 2*y + 1641","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 equal to -1538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5544 + -5547. Let q = -3.4 - 0.6. Let j = -1 - q. Which is the second biggest value? (a) j (b) v (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-1)\/(-9)*(-1566)\/(-36)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*v + 496 = 0, 6*v = 5*c + 2*v - 2375. Suppose 2*g + 4*x - 314 = -0*x, -3*g - 2*x + c = 0. Let b = 236 - g. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 320538, 641057, 961578, 1282101, 1602626, 1923153?\nAnswer: 2243682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 4. Let g be l(3). Suppose 6 = -4*m + g*m. Which is the second smallest value? (a) -2 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((360\/(-32))\/(-5))\/(-6)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1008406*c**2 - 4994848?\nAnswer: -2016812*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2152 and 662278.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 + -53. Let x(f) = -f**3 + 5*f - 2. Let z be x(2). Solve -20 = 4*l, r + 5*l = -z*l - i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 518439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(847) - (0 + sqrt(847) + -1))*-4 + (sqrt(847) - ((-1 + sqrt(847) + sqrt(847))*-3 + sqrt(847)))*1)**2.\nAnswer: -4620*sqrt(7) + 152705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1237, -903, -563, -217, 135, 493?\n\"Answer: 3*b**2 + 325*b - 1565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 40980.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652409530.\nAnswer: 2, 5, 37, 1763269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12023064 and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(15*(-7)\/42)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -57 + 9 + 2 + 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnoooomnoonoonm. Give prob of sequence nmom.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/8)\/(v**1\/v)*v**15\/((v\/(v\/(v*(v\/v**(2\/13))\/v)))\/v*v) assuming v is positive.\nAnswer: v**(1511\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, v: 4, k: 1, z: 8, i: 3}. What is prob of picking 1 v, 2 i, and 1 y?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0 - (4 + 1 - (10 - 7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 832.8 times -1?\nAnswer: -832.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 13*v**5\/20 + 133*v**4\/6 - 4903*v**3\/2 + 4572*v. Find the second derivative of p(i) wrt i.\nAnswer: 78*i + 532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000438454 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 10*o**2 + 6*o + 399. Let d(i) = 7*i**2 + 5*i + 399. Give 4*d(v) - 3*u(v).\nAnswer: -2*v**2 + 2*v + 399","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 13*a**2 + 85*a - 586. Determine u(5).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 * -60565541\nAnswer: -78735203.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12, 20, 38, 72, 128, 212?\n\"Answer: z**3 - z**2 + 4*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/11136 and 101\/1202688.\nAnswer: 1202688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x + 0*x + x. Let l(c) = 12*c**2 - 16*c. Let m(f) = -4*f**2 + 5*f. Let y be ((-4)\/(-12))\/((-1)\/15). Let j(v) = y*l(v) - 16*m(v). Determine j(t(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/4581475 and 7\/125.\nAnswer: 22907375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/25 - -17\/50. Let x = -0.03 - -4.03. Let i = 20.7 + -21. Which is the closest to y? (a) x (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4438 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z**3 - 4*z - 2. Let c be o(-2). Let x = c + -50. Solve 3*s = 4*y - y - 15, 2*y = -x*s - 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 3266.\nAnswer: 6532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**4\/24 - l**3\/6 + 3*l**2. Let i be s(-4). Which is the nearest to 0.1? (a) 0.2 (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/238 and -11\/211548?\nAnswer: 1480836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/3)\/(7\/(-42)*-5). Solve b = -0*b + q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128.8 - -123.8. Let v = -23.3 - -3.3. Let l = v + 19.98. Sort -4\/3, l, a, 1.\nAnswer: a, -4\/3, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -3 - (-3 + -2) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 + 6*h + 5. Let m be ((-1)\/(-2))\/(49\/12 + -4). Let n(q) = -5*q**2 + 7*q + 6. Calculate m*p(g) - 5*n(g).\nAnswer: g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 52 = -0*q + 4*g, 0 = 3*q + 3*g - 129. Solve -12*t + q = -20*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 30 - -6) + 12 - 7.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 3 + 2 + 3. Let p be o(6). What is the units digit of (p\/6)\/(4\/72)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 9:25 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416 + 584 = 2*y. Let w = 224 + -511. Let u = y + w. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 271, 320, 369?\n\"Answer: 49*w + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + 14. Let t be y(-5). Suppose -t = -x - j + 24, -2*j = 0. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 5:53 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 1\/3 (c) -153 (d) -3.1 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*j - 27 = 0. Suppose 2*b + r = -0*r + j, 0 = 3*b - 3*r. Let n = -26 + 29. Solve -a = -4, n*c = a + 2 + b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 + 0.11?\nAnswer: -54.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3170832 to the nearest integer?\nAnswer: 1781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -43, -56, -77, -106?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.5, -3, -3\/5, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let p be (-2 + x)*0\/(-2). Suppose p = 4*u - 296 + 84. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*a - 50 = 0, -2*a - 2 - 2 = 0. Calculate the remainder when ((391\/138)\/(2\/9))\/(54\/2736) is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 57*f + 743. Let v be b(-13). Solve 4 = 7*q - 2*q - 2*y, 3*q - 12 = -v*y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/3 - (-47)\/(-3). What is the remainder when 6 is divided by (-40)\/u*(-6)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n**2 + 5*n - 3. Let r be k(4). Suppose 252 = 3*a + 2*j, 3*a - 4*j = 139 + r. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - 117*u = -120*u + 95, 0 = -2*y + 4*u + 28 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1. Let a(c) = -c**2 - 13*c - 6. Suppose -9 = 109*d - 118*d. Calculate d*a(u) + 5*f(u).\nAnswer: -u**2 - 13*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177 - 274. Is v\/(-2 - 1 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60 - (-4 - -7)) + 4 + (-387 - -403).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-28))\/((-14)\/245*-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*g + 305, 3*z - z + 2*g - 150 = 0. Suppose 0 = -2*u - 2*k + 6, 259 - 262 = u + 2*k. Calculate the remainder when z is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-2)\/35)\/((-10)\/(-14)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 34, -3, 6, 4 in increasing order.\nAnswer: -5, -3, 4, 6, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 - 90. Which is the fourth smallest value? (a) 1\/2 (b) -2\/11 (c) x (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 18*d**3 + 181*d**2 + 962*d + 784. Let y(c) = -44*c**3 - 452*c**2 - 2404*c - 1960. Let u(j) = 12*g(j) + 5*y(j). What is n in u(n) = 0?\nAnswer: -14, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -792, -1229, -1546, -1683, -1580, -1177, -414?\nAnswer: 769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 - (8 + -8)\/1 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 0 = 4*c. Suppose -2*d - d = 15, -40 = 5*q + 5*d. Let t = q + 4. Put t, c, -1 in increasing order.\nAnswer: -1, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1032 (base 11) to base 5\nAnswer: 20431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 444 + 1392. What is the remainder when z is divided by 93?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 78*z - 31. Give a(-8).\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -24*y - 99. Calculate q(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 9506410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 16 = -4*f, -3*f + 984 = -55*q + 856 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2494604183.\nAnswer: 19, 3571, 36767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 + 170. What is the least common multiple of 200 and j?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**4\/4 + 2*d**3\/3 - d**2\/2 + 6*d + 12. Let h be b(-3). Solve h*f - 2 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(209)*2 - sqrt(209)) + -6*(sqrt(209)*4 - sqrt(209)))\/((-2*sqrt(110))\/sqrt(10) + (sqrt(11) - 3*sqrt(11)*4)).\nAnswer: 23*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5443\/15 + 363. Let j = -0.5 - -0.9. Let u = 96 + -94. What is the second biggest value in j, -0.4, n, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18 - 0)*(-13)\/208*8. Find the third derivative of -g - h*g**2 + 42*g**5 + 78*g**2 + 13*g**5 + 59*g**2 + 52*g**5 wrt g.\nAnswer: 6420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 4, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -19. Suppose 4*v = 4*h - 4, 5*v - 2*v = 2*h + 1. Let g(n) = 3*n**3 + 4*n**2 + h*n**3 - 6*n**3 + 3 + 2*n. What is g(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -469528\/5 - -566250563\/6030. Calculate the common denominator of 69\/670 and w.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -7*i + 8*i + w + 3*w, 14*i - 37 = -31*i - 2*w + 235 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -26. Let t(i) = 2*i - 5. Let u be t(5). Suppose 874 = 4*y + 862. Solve 3*k - 4*m + g = 0, -k = 4*m - u + y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - ((-103)\/(-4) + 0). Suppose -110 = 2*f + 3*f + 5*k, 0 = -k + 1. Let y = f - p. What is the second biggest value in 3, 2\/19, y?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5184510 and 215.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 + -2.05. Let l = -0.2 + 7.2. Let f = l + -6.8. What is the nearest to 2\/5 in 3, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3822023 to the nearest integer?\nAnswer: 1955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308, 307, 306, 305, 304, 303?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2 - 2\/3*m**3 - 7 + 20\/3*m = 0. What is m?\nAnswer: -3, 1, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*m**2 + 2 + (-3*m**2 + m**2 + 3*m**2)*(27 - 27 - 14) - 5*m**2 + 4*m**2 - 2*m**2 + (2*m + 0 + 0)*(4*m - 2*m - m) as c*m**2 + g*m + u and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 56*f - 264 = 59*f, -2*f + 4 = 0. Suppose 5*z + 180 = 15*z. Calculate the highest common divisor of g and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 5:44 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -103*o - 20*o**2 + 170*o - 119*o + 4*o**3 - 28 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**5\/2 - w**4\/6 - 5*w**3\/6 - 5*w**2 + 8. Let h(g) be the second derivative of f(g). List the prime factors of h(-2).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 - 1. Let o = 0.3 + s. Which is the second smallest value? (a) -4 (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*6\/(-21)*(-616)\/1188*-9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117 by -86.\nAnswer: 117\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4\/7, -4\/5, -3412?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-53)\/((-13727)\/370))\/(12\/(-7))*6\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32695 is divided by 6222.\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 411027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175115*u**3 + u**2 - 26*u + 650.\nAnswer: -1050690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/27 + (-1980)\/(-486).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 16 + 0 = 4*n, -n = f - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16 + 17)*(22 + 0). Which is the second biggest value? (a) u (b) -5 (c) -0.2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtxxwgxtkwtxggxwxk. What is prob of sequence txx?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 646199.2 nanometers in kilometers?\nAnswer: 0.0000006461992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 3*i = 56 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**4\/3 - 640*c**3\/3 + 48661*c**2\/3 - 184340*c\/3 = 0?\nAnswer: -709, 0, 4, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2*s - 1205375*k**2 + k*s - 2*k - 172418*s + 289 with respect to k.\nAnswer: -2*k*s - 2410750*k + s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 10:17 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -21097d?\nAnswer: -210978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3 take away 0.39843?\nAnswer: 2.90157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513 = g - 10*g. Is 55 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -6*s + 18, 0 = -4*c + 6*c - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = k - 291, -2*k + 3*k - 2*c - 299 = 0. List the prime factors of k.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -226*j - 19. Let b(a) = -a**3 - 31*a**2 + 31*a - 39. Let k be b(-32). Is p(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 0.1 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 5 + 514 = -13*n, -111 = 3*n - 610*b + 612*b for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2808\/162)\/(((-10)\/3)\/5).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3*k - 19 = 0, 0*k + 32 = 3*u + 4*k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.2435.\nAnswer: -0.07305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13375\/7 + -53395\/28. Solve y*z - 9\/2 + 3\/4*z**2 = 0 for z.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**5 - 4*p**5 + 2*p**5 + (-2 + p**3 + 2)*(3*p**2 - 15 + 15) - 90*p**5 + 21*p**5 - 69*p**5.\nAnswer: -133*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3987 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: What is 16069986 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (593*r**2 + 750*r**2 - 1617*r**2)*(36*r - 5*r - 9*r) to l*r**2 + u*r**3 + t*r + i and give u.\nAnswer: -6028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - 3) + (7 - 8) + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.6, -1, -34\/97?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w + 467 - 467.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.8 - -5. Let m = 2 - 3. Let x = m + z. Sort -5, x, -1\/4.\nAnswer: -5, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546161 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -4 (c) -6\/103 (d) -323 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 + -78.6. What is the smallest value in -12\/13, d, 0.3?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*d + 19 = 2*m, d = 5*m - 10. Suppose -5*c - 4*b - 37 = -10*c, 4*c - 4*b - 32 = 0. Solve -4*y + 9*r = 4*r, -m*y + c*r = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4186*t**3 + 9*t**5 + 4186*t**3 + (0 + 0 - t)*(-3*t**4 + t**4 + 3*t**4) - 2*t**5 + 0*t**5 + 4*t**5 - t**5 + 0*t + 0*t**5 - t.\nAnswer: 9*t**5 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z = -0 + 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2622*p - 1697*p + 18*p - 171384 = 306027 for p.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 3*m + 20. Calculate the remainder when 37 is divided by l(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 4*m + 3*m)*(2*m + 1 - 1) - m**2 - 3 + 3 + (m - 2*m - m)*(-2*m + 1 - 1) + 2 - 2 + 2*m**2 + 2*m**2 + 0*m**2 - m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/4*4\/(-1). Suppose 7*t - 32 + 47 + 20 = 0. Put -0.04, a, t in descending order.\nAnswer: a, -0.04, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 3 + 550310*h + 0 - 550316*h. Determine s(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2663.01 - 2700. Let t = x + 0.99. Let s = -41 - t. Which is the second smallest value? (a) 2 (b) -13 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 7*f**2 + 5. Let t be (-2 + -2)*1 + -3. List the prime factors of l(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvvl when four letters picked without replacement from {x: 4, g: 3, v: 2, j: 1, l: 2, q: 8}.\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -8, 3.\nAnswer: -8, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 2. Suppose 2*m + 104 = 4*x + q*m, -26 = -x - 2*m. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36237, 36239, 36241, 36243, 36245, 36247?\nAnswer: 36249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505 = -16*f + 393 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - ((-3 - -17) + -8)) + 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12293, -12149, -12011, -11879, -11753?\n\"Answer: -3*u**2 + 153*u - 12443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 32*v**2 - 59*v - 9. Determine j(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*-3*(-12)\/18.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 - (-36)\/(-24) - (-61)\/76 and 65\/342?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (316 - 308 - (-1 + (-1 - 1))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5*sqrt(325)*-3*-4)**2 + 1*(sqrt(325)*2 - sqrt(325))*1) + 3.\nAnswer: 30*sqrt(13) + 7020003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c + 9*c + c**3 - 20*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ssssssssxsssxssssss?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by 6893422?\nAnswer: -19\/3446711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 7. Suppose 4*v + 0*v = 28. Is z(v) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - ((22 - 2) + -366 + 374)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8824 is divided by 1470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9483234 to the nearest integer?\nAnswer: 3079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35\/29 in -197, -1\/6, 3, 2\/13?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3*(sqrt(320) + sqrt(320) + 0) - sqrt(320)))**2.\nAnswer: 141120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 388757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f\/f**(-12)*f)\/f)*f*f**(1\/10) assuming f is positive.\nAnswer: f**(-109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*a - 13200 = 53*a. Round a to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 + 3*u**3 - 9*u**3 + 3*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l + 6 = s, 10 = -5*l. Let x(m) = -5*m**s - m**3 - 1 + 4 - 5*m - 3. List the prime factors of x(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v - 104. Let q(t) = -17*t - 205. Calculate -13*f(c) + 6*q(c).\nAnswer: 2*c + 122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4401 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1749 - -782. List the prime factors of n.\nAnswer: 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 3*u**2 + u + 1. Let g be r(2). Let t(c) = c - 6. Let p be t(g). Suppose p = -2*h + 4*o - 3, 4*h - 4 = 5*o. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 21276.\nAnswer: 21276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q - 3. Let u = 22 - 16. Let l = u - -25. Calculate the remainder when l is divided by w(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 2) + -1 + -23 + 1827\/87.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 172195949 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 267109, 267125, 267141, 267157, 267173?\n\"Answer: 16*h + 267093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = 6*m - 9348. Is (1\/2)\/((-491)\/m + 1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -20 - 5. Let h be (-2)\/t + (-140)\/(-225). Let -2\/9 + 0*d + h*d**2 = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150782 is divided by 280?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 49374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**4 - 681*z**3 + 37812*z**2 + 297024*z = 0.\nAnswer: -272, -7, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247630 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s + 5. Let l be (-29 + -4)*(-4)\/(-6). Let z = l - -27. Determine p(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023344055 to 7 dps.\nAnswer: 0.0000233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 9*d**4\/32 - 7*d**3\/24 - d**2\/8 + 45. Determine g, given that y(g) = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6564601 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, j: 3, r: 1, s: 1, k: 1, y: 4}. Give prob of sequence trjy.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.1. Let n = -0.8 - -0.3. What is the closest to x in n, 5, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 10*t - 7. Let h(i) = 3*i - 2. Let b be ((-21)\/12)\/(3\/(-12)). Let j(l) = b*h(l) - 2*o(l). Find the second derivative of j(q) wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11002220212 (base 3) to base 10.\nAnswer: -80861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*i - 4*q + 33, -3*q + 45 = 5*i. Let m = -5 + i. Sort -0.4, m, -2 in descending order.\nAnswer: m, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36 or -2\/9663291?\nAnswer: -2\/9663291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - y + 60. What is the tens digit of u(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-5))\/((-2)\/20). What is the third smallest value in -7, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -7, -1, 0.3, 1\/2, -9066\/7 in ascending order.\nAnswer: -9066\/7, -7, -1, 1\/4, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*q + 32*q - 80*q - 81*q**2 + 2*q**2 - q**2 - 2*q**2 + (3*q**2 + q**2 - 2*q**2)*(-5 + 5 + 1) to p*q**2 + x + w*q and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24542 + 1?\nAnswer: 24543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/20889 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 17*w - 7. Let r(m) = -m**2 + m. Let q(j) = -5*j**2 + 13*j - 4. Let b(k) = q(k) - 4*r(k). Let h(v) = -5*b(v) + 3*g(v). Calculate h(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.2215487 to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 63. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 21717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 12 + 11 - 11 - 42*k**3 + 639*k**3 to the form n + x*k + b*k**3 + h*k**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, -3\/10, 3, -2\/11, 44 in descending order.\nAnswer: 44, 3, -0.1, -2\/11, -3\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 20. Let z = 854 - 876. Give c(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((405\/(-240))\/(-27))\/(54\/(-296))*3 and (-1)\/(-1) + (-64)\/3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 1161897402?\nAnswer: 1161897402.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 + (-11 - -6) - -23) + -24.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 1:06 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -879 (base 11) to base 8.\nAnswer: -2036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmmzzhmmmzn. What is prob of picking 4 m?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20 - -262607.8182\nAnswer: 262587.8182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240615799.\nAnswer: 6977, 34487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 18*q - 700 = 0. What is the smallest common multiple of 55 and q?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + 3 + sqrt(162) + -2 - (-3*2*sqrt(162) - (-2*(sqrt(162) - (sqrt(162) + 0)) - sqrt(162)))))**2.\nAnswer: -216*sqrt(2) + 5836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 136*n - 142016 - 257240 + 44296. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3481973275 plus -0.2?\nAnswer: 3481973274.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 67 - 9 = 0. Let x = -189 + 216. Let j = k + x. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1564 - 1558. Solve -20 = 13*v + d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8712819 is divided by 10932?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 413*p**2 + 2*p + 1 - 4*p + 0. Let f = 1763 - 1765. Is k(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-9) + 3 + -4.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1413\/7 + 204. Which is smaller: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 + (-42 - (-12 - 16)) + (21 - 0)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r = 2 + 73. Solve r*v + 4 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**6 + 2*a**5 - a**4\/6 - 14*a**3\/9 + 2*a**2\/3 + 10. Solve v(b) = 0.\nAnswer: -2\/3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.9933l to millilitres.\nAnswer: 50993.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30729733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**6 - 10*w**4 + 444966*w**3 - 91*w**2 + 16*w - 34444.\nAnswer: -240*w**3 - 240*w + 2669796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 18 = -3*l. Suppose -2*r = -0*k + k - 14, -3*r = -3*k + l. Suppose -a + 4 = 2*u, 0 = 2*u + u - a - k. Which is smaller: u or 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.744275 grams?\nAnswer: 3744.275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822 is divided by 69?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 451*u - 438*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -78.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17122 + -15332. What is the highest common divisor of i and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -320\/91 - -42\/13. Let i = 10 - 5. What is the nearest to k in 0.3, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198328.106 rounded to the nearest one thousand?\nAnswer: 198000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.591 in 1\/2, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -294, 1, -548.\nAnswer: -548, -294, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (373\/(-13055))\/(((-92)\/16)\/23)?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 38. Let z be 20\/w*3\/(-4). Which is the closest to 2? (a) 3 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 757, 1469, 2183, 2899, 3617?\n\"Answer: o**2 + 709*o + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 11.7. Which is the closest to -0.1? (a) t (b) 3\/2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/1385?\nAnswer: -6\/1385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 50*n**2 + 25*n - 1177. Determine c(-49).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -36*i**3 + 4*i**2 + 9*i - 31. Give b(2).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*r = -6539 + 11019. Calculate the greatest common factor of 7360 and r.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -5*k - 101 + 61, -4*k = u + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 6*s - 1. Let q(l) = l**2 + 3*l + 1. Let k(r) = -5*q(r) - 2*u(r). Let y(t) be the first derivative of k(t). Calculate y(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 12. Let b = w + 27. Suppose -3*u + c = -24, 5*u - 18 = -2*c + b. Solve -m = -5*m + u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37773.42 days to seconds.\nAnswer: 3263623488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-468)\/(-275) + (-2)\/11. Let g = -1701\/50 + n. Calculate the common denominator of -55\/24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 2*h + 24, -47 = f + 3*h - 46 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7*u + 3 = -4*u, 0 = -2*r + 2*u - 2. Let v(z) be the first derivative of r*z + 0*z**3 - 1\/2*z**4 - 2 - 2\/5*z**5 + 0*z**2. Factor v(p).\nAnswer: -2*p**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 104 = -3*v. Suppose 2*m - 6 = -2*h - 2*m, -2*h + 2*m + 30 = 0. Calculate the remainder when v is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16998060 is divided by 308.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-6))\/(4\/6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2133343280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -770 + -4.\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385324 is divided by 48159.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, p: 5, o: 1}. What is prob of sequence coo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1092 (c) -1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 13*j**2 - 22*j - 6. Calculate the remainder when b(-12) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 1207*x - 1225*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6 + 1.7. Let j = 847.27 + -847. Which is greater: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8390447 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*u, -2*w + w - 3 = -2*u. Let o be u*(1 + 3\/(-1)). Calculate the common denominator of -17\/18 and ((-3)\/6)\/(o\/(-95)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563385177 to the power of 1\/2, to the nearest integer?\nAnswer: 23736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c. Let a be l(1). Let m(t) = 3*t**2 - t + 2. Calculate m(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/1365, -0.2, 8?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -31\/11 (b) 14 (c) -6\/461 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 3) in base 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.699 + -1.569. What is the biggest value in 6, n, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 4\/(-24))*(0 - 2). Let n(s) be the first derivative of 0*s**2 - 1 + 0*s + b*s**3. Let y(v) = 3*v. Determine y(n(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2577 (base 11) to base 14\nAnswer: -1315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -14*k**3 - k**2 - k - 1. Let z be v(-1). Suppose 11*i + 10 = z*i. Suppose 32 = i*x + 12. Solve 2*r = -2*w - 2*r - 16, -2*w = -x*r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/19 (c) 0.2 (d) -10\/9 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrwrrrrrrrrrrrr. Give prob of picking 1 w and 1 r.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818483933.\nAnswer: 173, 839, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 36 = -q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1187 at most as big as -1187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b + 5. Let t be f(0). Let x(n) = -n + 4. Let c be x(t). Let q be -1 + 1 - (-2)\/(-12). Are c and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - c**2 + 1 + (30 - 6 - 13)*(-3*c**2 + 0*c**2 + 2*c**2))*(-10 + 27 + 68 + (-1 + 3 + 0)*(0 + 3 - 4)) as g + m*c + n*c**2 and give n.\nAnswer: -996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21554815?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**5\/30 + 3*c**2 + 5*c. Let d(y) be the first derivative of f(y). Let w(k) = -4*k + 4*k - k**2. Determine d(w(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533*i - 3 + 3 + 1048*i - 507*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 4*f + 12, 19*h + 9 = 20*h + 5*f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, i: 3, q: 1, u: 1, c: 1, l: 4}. Give prob of sequence uigg.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*t - 1718 - 1311 = -41 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 58748571 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((3 + sqrt(5) + 2)**2 + -3 - (1 + 1*((1*sqrt(5))**2 - sqrt(5)))).\nAnswer: 20 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 342901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -170403 or -340803\/2?\nAnswer: -170403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = 3*g + 3*l - 368, 3*g - 172 = -l. Calculate the remainder when g is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/4 - -4)\/((-1)\/672). Is 337 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 5 + 16*l**2 - 12.\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51587936?\nAnswer: 2, 1612123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -66*g + 4. Let u(o) = 13*o + 1. Let k(n) = -d(n) - u(n). Let b(a) = 53*a - 4. Calculate -5*b(c) + 4*k(c).\nAnswer: -53*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**2\/2 + 34*k + 131. Let b be f(-26). What is the greatest common divisor of b and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009926252 rounded to 5 dps?\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 18 = 3*v - 2*v, 0 = 5*a + 4*v - 3. Suppose 26 = a*u - 73. Let g = -11 + u. What is the remainder when g is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 15*h - 614. Determine t(32).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**3 + 5*l**2 + 21*l - 3. Let u be d(6). Let b be -1 + u\/133 + 8. Solve 12\/19*g**3 - 18\/19*g**4 - 8\/19*g - 8\/19 + b*g**2 = 0 for g.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -230.5 + 216. Let x = f - -14.5001153. Round x to 6 dps.\nAnswer: 0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -990981, -1982018, -2973055?\n\"Answer: -991037*g + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(((-9)\/(-2))\/3). Let u be (-5)\/(10\/9)*b. Solve -2*k = 2*g - g + u, 0 = 4*k - g + 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3187446t to grams.\nAnswer: 318744.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 57*k - 1585. Let u be r(28). Let i(p) = -2*p**3 - 7*p**2 + 2. Let d be i(-5). What is the greatest common divisor of d and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -501 and -3.2.\nAnswer: 1603.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1346, 1347, 1346, 1343, 1338?\n\"Answer: -y**2 + 4*y + 1343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2758352 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -5\/3 (c) 297 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y - 5*y + 4*y)*(-6*y - 1 + 1) to the form g + d*y + n*y**2 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 519 + -134. Let h = -197 + s. Calculate the highest common divisor of 141 and h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 421094553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.394893 rounded to two dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 3*d**3\/2 - 3*d**2\/2 + d.\nAnswer: d*(d - 2)*(d + 1)*(2*d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = d + 4*l + 20, l + 6 = 2*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37095*l = 39658*l - 246048 for l.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*n - 3755 + 767 - 55 = 7082 for n.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 909 and 51?\nAnswer: 15453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2673007 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2065 - 13*d**3 - 31*d**4 + 365 - 150 wrt d.\nAnswer: -124*d**3 - 39*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104566 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -8*p**3 + 8*p**2 + 9*p + 9. Let y be b(-5). Is y + -2 + -1 + 6 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 {f: 3, o: 3}. What is prob of sequence oo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -17. Suppose 4*v = -3*j + 7, 5*j - 24 = -v - r. Calculate the highest common factor of j and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 367*h - 10 + 4 + 0 - 1.\nAnswer: 367*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 - 15*c - 1455 + 690 + 741.\nAnswer: -c**3 - 15*c - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 2*n**3\/15 - 56*n**2\/5 + 1568*n\/5 + 102. Factor t(i).\nAnswer: 2*(i - 28)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3937b3 (base 14) to base 7.\nAnswer: -22510313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338770151?\nAnswer: 23, 73, 201769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -242472 from 1307728.\nAnswer: 1550200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8\/12)\/(12\/(-19)) and -91\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**3 + 145*j**2 + 96*j + 99. Let m be t(49). Suppose -4*s - 5*y - 2 = 31, -31 = 5*s - 4*y. What is the tens digit of m + 58 - 8\/(5 + s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1136 and 1550072.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 + 12*v - 1. Let b(o) = -6*o**2 + 34*o - 2. Let m(j) = -5*b(j) + 14*x(j). Let n be m(-1). Solve 3*d + 12 + 3 = n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 376, 704, 1032, 1360?\n\"Answer: 328*d + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3*p)*(573*p - 2471*p + 734*p).\nAnswer: -3492*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1332444 + 230?\nAnswer: -1332214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*k - 46, 2*b + 36 = -4*k - 2*b. Let g = k + 11. Let q be 1\/(-1*g\/27). Solve q = 5*d - 3*l, -3*d + 3*l = -0*l - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5 - 208*v**4 - 2873*v**3 = 0. Calculate v.\nAnswer: -13, 0, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 - 2*j**2 - 2*j - 1. Let h = -49 - -76. Let q(v) = 2*v - 1 - h + 11. Let s be q(8). What is u(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.8 (b) -3 (c) 3 (d) -42 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 5*d - 175 + 453, 2*d - 4 = 0. Let x = -157 + 266. Let a = x - g. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 927176 and 18.\nAnswer: 8344584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36078 rounded to 2 dps?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 0*p**5 + 0*p**4 + 0 + 1\/40*p**6 + 7*p + 0*p**3 - 9\/2*p**2. Let c(z) be the first derivative of o(z). Factor c(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(475) + 0)**2.\nAnswer: 50*sqrt(19) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 12*f**2 + 12*f - 7. Suppose 0 = 2*g - 6*g - 52. Let o be q(g). Suppose o*l = 2*l + 96. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/728 and 5\/1848?\nAnswer: 24024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + (2 - 2 - 1639). What is j rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -c - 10795, -23708 + 2128 = 2*c + 4*g. Round c to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838028 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 11:14 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(4*q**5 + 0*q**5 + 2*q**5) + q**5 - q**5 - q**5 + (-3*q**3 + q**3 + q**3)*(2*q**2 - 1 + 1) - 10*q**5 + 18*q**5 - 1407 + 1514.\nAnswer: -7*q**5 + 107","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/24)\/(1\/(-12)). Solve -5*o = t + 10, 3*o + w*t = -7 + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6874470987 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1618804 is divided by 24161?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 j when three letters picked without replacement from qxkjkjlcc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -23951 - 0?\nAnswer: -23951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-2 - (4 + -3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*n = -n + 1134, -5*n + 20 = 0. Suppose 5*g - 6*g + 5 = 0, 2*g - z = -4*q. What are the prime factors of q?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1996 - (29 - 12)) + -6 + 0.\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10375?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3 + -3 + 2. Let p = -63 + 49. Let d = 13 - p. Which is the smallest value? (a) j (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -1\/3*q**4 + 1\/20*q**5 - 22*q + 0 - 3\/2*q**3 - 3*q**2. Is z(7) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16243199 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + -3)\/((-1)\/23). Suppose 0 = 4*t + 5*b - s - 197, -145 = -2*t + 5*b. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**6\/60 + v**5\/30 - v**4\/24 + 7*v**3\/3 + v**2 + 2. Find the second derivative of g(n) wrt n.\nAnswer: -12*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 7 + 2 + 5*q**3 - 6 as s*q**2 + o*q**3 + k*q + z and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*t - 35*t - 78 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3\/11 + 36*h**2\/11 - 208*h\/11 + 384\/11 = 0. What is h?\nAnswer: 4, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 3:58 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(187) + sqrt(187) + sqrt(187))*-2*-2)\/(sqrt(66)\/(3*sqrt(54))).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623644 - 2*g - 623644.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 24\/733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 less than -1883690?\nAnswer: -1884339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 901126.73 rounded to the nearest ten thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnhnhnthggnghnhg. Give prob of sequence hnh.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 514.9872 decades to years.\nAnswer: 5149.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -642*r + 98261. What is l(152)?\nAnswer: 677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5356 and 618?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59531.48 decades in years?\nAnswer: 595314.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4*(-3)\/42)\/(-17))\/(((-9)\/(-9))\/(-7))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0774 from -4838.018.\nAnswer: -4838.0954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 8*z**2 - z - 7. Let w(x) = x**3 + 7*x**2 + x - 1. Let u be w(-7). Let s be q(u). Let y(p) = -7*p**2 + p - 1. Calculate y(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, 9, -2, 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 3)*-1 + 2766 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9365 + -5?\nAnswer: -936a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-16))\/w*w**(-2\/13) assuming w is positive.\nAnswer: w**(-197\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24273 and 522?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 2*i**2. Let u be q(2). Let d = 14 + -13. What is the closest to u in -5\/3, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 9*k**2 - 9*k + 2. Let r be a(8). Let h be 4*(r\/4)\/(-3). Suppose -z = 3*c, -5*z + h*c = 4*c. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 48 = n - 42, -4*n + 252 = -8*w. Suppose 0 = -3*f + 4*f + 4. Let j(i) = -6*i + 3. Let p be j(f). What is the greatest common divisor of n and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 6*x**2 - 8*x - 7. Let m be q(-5). What is the remainder when 249 is divided by (m*6\/20)\/(50\/875)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 62 = 17. Let y be (2\/(-3))\/(1\/v). Suppose 0 = 5*w - 2*g - 228, g + y = 2. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 - 3 - 2)*(2 - 3 - 1)*(4*c + 5 - 5) to the form q*c + o and give q.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - 148. Are -67 and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.087 - 568.3.\nAnswer: -568.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - w - 14. Let g(b) = b**2 - b - 13. Let h(m) = 6*g(m) - 5*l(m). Let k be h(4). Solve -2*n = k*u + 4, 2*n - 3*n = u - 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7 + 29 - 5*r - 18 - 7.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**6\/120 - d**4\/12 - d**3 + 5. Let z(j) be the third derivative of o(j). What is the derivative of z(x) wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/444 and -49\/222.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -11 + 14 + 1 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -19*l + 13*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5556.85 millimeters in nanometers?\nAnswer: 5556850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.13 + 8.13. Let f = 5 - x. Let p = 0.092 - 0.492. What is the biggest value in f, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*r - 3*r. Suppose 5*j + r*u + 4 = 1, -4*u - 4 = -5*j. Which is smaller: 4\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 71, 26, 244 in descending order.\nAnswer: 244, 71, 26, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 624 + 264. Let c = -33 + a. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 362 (base 7) to base 11.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3176240 to the nearest integer?\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 11 = -2*a + a, -3*y - 3 = 3*a. Let u = 1 - 1. Let c = u - -1. Put c, a, -3 in descending order.\nAnswer: c, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3*t - 75 = 0, 732*m - 730*m + 4*t = -50 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(7\/28) + 7. Solve 6 = -x + z*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-36)\/5)\/(-2))\/((-3)\/10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/10927 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 245776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800 is divided by 161?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -34402.51?\nAnswer: -34402.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**5\/20 - o**4\/3 - 17*o**3 + 67*o**2. Differentiate f(d) with respect to d.\nAnswer: -6*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 959292.4 decades to centuries.\nAnswer: 95929.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f - 3. Give k(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39568 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*w - 0 + 43, -4*w = -4*b + 4. Solve b*l = -0*l + 10*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) -1\/5 (c) 2 (d) -2.61 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 - -44. Let z(u) = 0 + 0 + 3*u + u**2. Calculate the remainder when 5 is divided by z(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (567\/(-105))\/(-6 - 31\/(-5))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -185237 (base 10) to base 13\nAnswer: -66410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0, 408, -1.\nAnswer: -1, 0, 1, 3, 408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78475254 and 2743890?\nAnswer: 392376270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 752572, 1505151, 2257730?\n\"Answer: 752579*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {q: 1, d: 1, i: 6, w: 1, z: 3, s: 1}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 19. Suppose -4*j - 2*a - 16 = -7*j, 14 = 3*j - a. Suppose -51 = -j*s + 17. What is the remainder when s is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51928.74 - 0.316104\nAnswer: -51929.056104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 307 + 52. Suppose -k*r = -349*r - 1830. Which is the closest to 2? (a) r (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1463 + 30932 = 55*g. List the prime factors of g.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4458 and 2682230?\nAnswer: 8046690","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve 553*z = -836*z - 45508 - 4496 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a factor of 4609808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2374 and 12?\nAnswer: 14244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -107, -5, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 6 = r + 8*j, 2*r = 3*j + 16. Sort 1, r, 11, 0 in increasing order.\nAnswer: 0, 1, r, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6 - -1.72. Let p = 0.12 - h. Let c = 0.3 + 2.7. What is the nearest to p in 0.3, -0.1, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 128*f**3\/3 + 27530912*f**2 - 6882730*f + 1290512\/3 = 0.\nAnswer: -645256, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**5 + 13*c**4*z + 5*c**4 - 1099*c**2*z wrt c.\nAnswer: -60*c**2 + 312*c*z + 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000625 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 31 - 23 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3420)\/245 - (-4438)\/317?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(12)\/sqrt(6)) - (sqrt(11) + (sqrt(44)*1 + sqrt(44))**2).\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 15 - 20)*(-2*l + 3 - 3).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*t*t\/(t**5\/t)*(t*t*t*t**(-3\/4))**(-49))**(19\/5) assuming t is positive.\nAnswer: t**(-1691\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 3996.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Let v = 8 - k. Which is the second smallest value? (a) v (b) 0 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 24 = -4*v - v, 0 = -4*s - 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*s + 15158 + 1054. Suppose -12*x + s - 40 = 0. Calculate the remainder when x is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*k + 18909, -k - 3*k = 2*z - 25242. Let i = 163975\/26 - k. Calculate the common denominator of 31\/24 and i.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/9*12*5\/(-10). Solve 0 = m + a + 5, l*m - 3*m + 3*a = -13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8350, 16753, 25146, 33523, 41878, 50205, 58498?\n\"Answer: -d**3 + d**2 + 8407*d - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 - 4.09. Let a = 0 - w. Let v = -0.44 + -4.56. What is the smallest value in -2\/7, v, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 3) + (29 + -7 - 34) - -4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 711, 713, 715?\n\"Answer: 2*r + 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 4\/21, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*n = -4*n - 2, 0 = -m + 2*n + 14. Suppose m*r - 148 - 72 = 0. What is the greatest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 1. Let g be t(-1). Let c = 27 - 22. Solve -q + c = -g*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 - -95. Solve 0 = 2*i + 4*s + k + 6, 2*s = 3*i - 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 34\/1155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*z**2 + 38697*z + 467610 = 0 for z.\nAnswer: -130, -1199\/90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/11))**47*x**24\/(x*x*x**(-16)) assuming x is positive.\nAnswer: x**(888\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/5*(-3030)\/(-48) and 151\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5249 - 1516. What is the thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - (14 + (16 - 46)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 3*x**3 + 18*x - 19*x + 33*x - x**3 + x**3 in the form o*x + c*x**3 + l + w*x**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a - 10. Let d be (-53)\/5 + (-10)\/25. Let q be v(d). Suppose -7*s - 415 = -q*s. List the prime factors of s.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -0.1, 1.62, 796, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6108 = -76*x + 3528. Solve 3*w + 120 - x = y, -w + 3 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 537 - 534. Let f = 0.07 + -0.37. Let p = 127\/30 + -29\/6. Which is the second smallest value? (a) n (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2304)*6 - sqrt(2304)) + sqrt(2304))\/(-2*sqrt(108)*2).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 4. Determine k(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1175*s = -2135*s + 1133*s - 1211 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, 2\/41, 13, 2\/91, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*p + c, 0 = -4*p + 11*c - 9*c + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6793795 < 6793801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + 6*b**3 - 6*b**2 + 4*b**2 - 1. List the prime factors of p(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5346548.\nAnswer: 2, 1336637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -11*x**3 - x. Determine u(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -524 in 9, -2\/7, -24, 2, -1\/2, -0.16?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 91 = 43. Let g be 1582\/u - 4\/(-24). What is the greatest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*l**3 + 2 - 62*l**3 - 116*l**3 + 0 + 247*l**3.\nAnswer: 5*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llff when four letters picked without replacement from lfffffllllfllfllnpp.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11000011111011001?\nAnswer: 11000011111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 7:24 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 39 = -5*q. Let y(t) = -t**3 + 13*t**2 + 3*t + 4. What is the tens digit of y(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -1.1. Let h = -1.6 - o. Let g = 2.6 + h. Which is the third biggest value? (a) g (b) -0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -2\/5, -1688.4 in decreasing order.\nAnswer: 2\/11, -2\/5, -1688.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12150 and 18450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9637141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 279343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 75 * -2056\nAnswer: -154200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 256\/14*231\/66. Suppose -t + a - 4 = 1, 0 = -a - 2. Let l = u + t. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020000112122 (base 3) to base 13.\nAnswer: -199a9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -60. Let l be (5 - t)\/(2 - (-56)\/(-27)). Let c = l + -57. List the prime factors of c.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from {h: 1, u: 1, s: 2, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-10))\/(4\/(-8)). Let y(p) = -p + 1. Let b(g) = 10*g + 2. Determine n*b(d) + 3*y(d).\nAnswer: -13*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-2)\/8 + (-5)\/(-2). Calculate the remainder when (v\/2)\/(29\/145) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*f - 2*f - 5*f)*(0 + 0 + f**2) - 2*f**3 + 12*f**3 - f**3)*(-4*f**2 + 3*f**2 - 6*f**2).\nAnswer: -28*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, b: 8}. What is prob of picking 1 l and 1 b?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2266132, -2266409, -2266880, -2267551, -2268428, -2269517?\nAnswer: -2270824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.29 from 154376.62048.\nAnswer: 154376.91048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**5\/60 - o**4\/4 + o**3\/6 - 5*o**2. Let f = 2 + -7. What are the prime factors of u(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001748989 to 5 dps.\nAnswer: 0.00175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*h - 4262 - 1573 = 9323 for h.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19252 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/41)*o)\/o*o*o*o\/o**(-5\/2) assuming o is positive.\nAnswer: o**(447\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -609, -1218, -1827, -2436?\n\"Answer: -609*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6678 - -46752\/7. Let x be (-2)\/(-5) + 438\/(-20). Let o = 641\/30 + x. What is the closest to 1 in -0.1, t, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1008*f + 84429 = -936*f + 308*f + 205*f for f.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*s**4 - 5 + 57*s**4 + 2)*(-2 - 2*s + 2).\nAnswer: 14*s**5 + 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 4*z + 1. Let h(i) = -3*i**2 - 7*i + 6. Let s be h(2). Suppose 0 = 3*w + 28 + 17. Let k = s - w. What is y(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. Suppose z = -3*c - 8, 2*c - z + 3 = -4. Let q be (1\/4)\/(c\/y). Which is smaller: -3 or q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l + 65. Let k be s(21). What is the units digit of (-10 - -957) + (6 - k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - v**2 - 8*v + 6. Let p be y(3). Let s(a) = 13 + p + 11123*a + 149548*a. Let z be s(-3). What is z rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**4 + 1693734*m**3 - 32182152*m**2 - 69445494*m - 35569611 = 0.\nAnswer: -564597, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -9 + (-8)\/4*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -65, -153, -285, -467, -705, -1005?\nAnswer: -1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -36 and 153485485?\nAnswer: 153485521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 13*y + 12. Let d be t(14). Let m be (4\/(-3))\/(d\/(-3)). Are m and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 0 - 1\/2*c**3 + 0*c**2 + 30*c. Let o(d) = 22*d. Calculate o(z(x)).\nAnswer: -66*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 4*g + 4*g)*((6 - 3 + 0)*(-g - g + 3*g) - 41 - 95*g + 41)*(3 - 3 + 2*g**2).\nAnswer: -184*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 2226\/1479329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14, -2, 22, 58?\n\"Answer: 6*y**2 - 6*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 159*l**2 - 353*l - 28098. What is m(-158)?\nAnswer: 2712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 1\/2*z**2 + z - 3. What is the first derivative of j(n) wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**1\/t)**(-7)*(t\/t**(1\/4))\/(t*t**(2\/9)))**(-17))**41 assuming t is positive.\nAnswer: t**(11849\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64968589?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p\/(p\/p**(2\/3)*p)))\/p**0*((p*p**(-2\/5)*p)\/p)**50*(p**(-2\/9)\/p)**(-37)\/(p*p**(-2\/17)*p\/(p*p**(4\/3)\/p)) assuming p is positive.\nAnswer: p**(11935\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 7*j**3\/6 + j - 4. Let y(z) = 2*z. Give c(y(f)).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7524076, -7524078, -7524080, -7524082, -7524084?\nAnswer: -7524086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 22*q + 7 + 23*q.\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4715164 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21957*o**3*t**2 - 2*o**3*t - o**3 - 852*o**2*t**2 - 40*o**2 + 87*o + 17*t wrt t?\nAnswer: 43914*o**3 - 1704*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 1\/337?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3652 (base 14) to base 16\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 216349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 7*u**2 + 29*u + 12. What is the smallest common multiple of z(3) and 146?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93079319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426 + 1142 = 7*j. Solve 53*l - 21*l = j for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 5*v + 11. Let j be w(8). Suppose j = 11*i - 42. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61616.24329 to 0 dps.\nAnswer: -61616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/858 and -7\/34.\nAnswer: 14586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onoo when four letters picked without replacement from nooo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) 2\/2482297 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 278*n**3*w - 149*n**3 - 3*n**2*w - n**2 + 2*n + 236823*w wrt n?\nAnswer: 1668*n*w - 894*n - 6*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20000221 (base 3) in base 11?\nAnswer: 333a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 - 7450*v**2 + 7402*v**2)*(2*v**3 + v**3 - 2*v**3).\nAnswer: -48*v**5 - 7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, j: 7}. What is prob of picking 1 j and 1 o?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (40\/14)\/(((-6)\/21)\/(-1)). Suppose o*b = 2*b. Which is bigger: b or 4\/83?\nAnswer: 4\/83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -1164*j - 253. List the prime factors of s(-3).\nAnswer: 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 1. Let j(h) = 6*h**2 + 2*h + 3. Calculate 5*b(g) - j(g).\nAnswer: -g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7723724, 15447446, 23171168?\nAnswer: 30894890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/2 of a hour?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 525556 or 525554?\nAnswer: 525556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 895, -1\/3, 2\/3?\nAnswer: 895","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 51 - 85. Suppose -2*u = -4*u - l. Let m(f) = f**2 - 11*f - 4. Let c be m(5). Is u less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-57))\/(-2)*2. Which is greater: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (-2 - (-5 + (-3 - -15))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l. Suppose -b + 3 = -g, 3*b - g + 0 = 5. Let y(x) = 1. Let d(q) = 39*q + 2. Let u(w) = b*d(w) - 2*y(w). What is r(u(o))?\nAnswer: 78*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + m**2 - 2*m - 1. Calculate p(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 73565 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 4) to base 5\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*i - 44. Suppose 2*f - 105 = 3*h, 0 = -3*f + i*f - h - 175. Does 30 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 332000 = 5*f. What is f rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 326283*j*m**2 + 17971*m**2 + 4 wrt j?\nAnswer: 326283*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504131337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001912738349 rounded to 6 dps?\nAnswer: -0.001913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - z. Let s be p(2). Let r be 1\/((-5)\/s - -3). Solve -3*a = -r*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614028143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 9*m**2 - 11*m - 1. Let s be k(-8). Let q = -15 + s. Suppose -14*r - 25 + 109 = 0. What is the remainder when q is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 8 = 2*u, 5*w = -u + 6*u - 10. Let t = w + -1. What is the units digit of t*6*(-6)\/45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -146 - 138. Let l be (-12)\/(-15) + (-502)\/(-10). Let u = i - l. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -3433?\nAnswer: -3424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + t = -38, o + 2*t + 24 = 59. What is the remainder when 261 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 340556 from -1414.07.\nAnswer: -341970.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 304 + 400. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 50*v - 932. Calculate the least common multiple of 8 and w(24).\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 586.15 and -258172.\nAnswer: -257585.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 8 = 7. Suppose 7*p = i*p + 16. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 6 = -9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5339338 divided by 2669669.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + 875?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 44 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342\/((-44)\/(-4)) - 7 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-77) + (3 - 9 - -5)*-1. Determine t so that 4\/7*t + o*t**2 - 4\/7*t**3 - 8\/7 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 522251510 - 2?\nAnswer: 522251505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4060\/1610*115*(-6)\/4*1\/(-15).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123330 divided by 3.\nAnswer: -41110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 72859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -5905034\nAnswer: 29525170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 93542063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022509009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.02 + 1.9. Let x = t + -7.38. Round x to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52871916 by 3.\nAnswer: -17623972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 3*z - 3, -2*k + 1422 - 1464 = 12*z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -362877876?\nAnswer: 362877876.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqu when three letters picked without replacement from {s: 4, c: 1, p: 1, u: 1, q: 4, b: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, -3, -5 in descending order.\nAnswer: 4, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252906 = 1071*r - 1104*r + 802995. What is the ten thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.55633 - 0.15633. Let l(x) = -x**2 - x + 2. Let p be l(-2). What is the second smallest value in c, 1, p, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 3) + (-10 - -15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (113*y + 15*y + 35*y)*(0*y - 3*y + 2*y) in the form r*y + k + p*y**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/32*(-20)\/(-15) - -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3, -6, -11, -18?\n\"Answer: -d**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50921\/63 - 6452\/7. Let a = -113 - j. Find p, given that -4\/9*p**4 - 4\/9 - a*p**3 + 2\/9*p**5 + 2\/9*p + 8\/9*p**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 27828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*f = 2*x + 4, 5*f + 14 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -38.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 201788625037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -0.6, 5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -115 + 109. Let r = 56 - p. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*p**2 - p**4 - 262*p**3 + 27*p - 34 - 86*p**2 + 142 + 279*p**3.\nAnswer: -(p - 12)*(p - 3)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 262?\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3084474725?\nAnswer: 5, 19, 6493631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260106065833849 - 4.\nAnswer: -260106065833853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 258 - 258.7. What is the closest to s in 2\/7, -4, 1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from uuuuunuuuuuu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*w**5 + 548*w**4 - 5870*w**2 - 197044474*w wrt w?\nAnswer: 80*w**3 + 6576*w**2 - 11740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 236 + -234.8. Which is the closest to -1? (a) x (b) 3 (c) -2\/9 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 9*a - 7. Let v(f) = -f - 1. Let w(i) = u(i) - 3*v(i). Let n be w(-4). Suppose x - 4 = n. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000031862 rounded to six decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -519258266 - -519258172.9999906. Let t = 93 + m. What is t rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 33 + 85*r - 61 + 18*r.\nAnswer: 103*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:57 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -170, -247, -362, -521?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(648) + sqrt(648))\/((-1*sqrt(484) - sqrt(484)) + sqrt(484)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(70\/(-12)))\/((2166\/1330)\/(-19))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4226 + -3?\nAnswer: -4230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**3\/5 + 45*p**2 + 840*p - 215600 = 0.\nAnswer: -140, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d - 10*i + 56, 3*i = 10*d - 5*d - 0 + 20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7574 = 2*a - t, -6*t = -4*t. Is a 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 three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**2 - 3*l**2 - 2*l**2 - 42 - 2*l**2 + 42 + 0*l**2 + 5*l**2 - 3*l**2 + (-3 + 1 + 0)*(-l**2 + 0 + 0) to r*l**2 + x*l + u and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27445\/6 + -4596. What is the common denominator of (-8)\/(-16) + 114\/(-4) and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k**2 - 87309 + 174619 - 87310.\nAnswer: -31*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 + 3 + 32*t**3 + 1.\nAnswer: 32*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11724\/238661 + 2\/5821. Which is the fourth biggest value? (a) x (b) 0 (c) -2\/17 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 8*x**2 + 13*x - 4. Let u = 2016 + -2010. Give y(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 126, 113, 88, 45, -22, -119, -252, -427?\n\"Answer: -w**3 - 6*w + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 9*y + 2107. Let h = y + 433. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d + 35. Let j(o) = 2*o + 17. Suppose 40 = 5*s + 531*g - 528*g, 4*s + 5*g = 45. What is s*j(x) - 2*z(x)?\nAnswer: 2*x + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**2 + 2*t + 4. Let w be x(0). What is c in 0*c + 0*c**2 - 1\/4*c**w + 0 + 1\/4*c**3 - 1\/2*c**5 = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 865500 and 32744750?\nAnswer: 196468500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1683 - 3370 + 1687 - 19*m**2.\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3 + 0*d**2 - 5*d + d**2 - 2. Let w be r(5). Suppose -894*p + 4 - 4 = 1023*p. Solve s - 4 + w = p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261.0546 decades to millennia.\nAnswer: 2.610546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1387, 2760, 4117, 5464, 6807, 8152, 9505, 10872?\nAnswer: 12259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2142.1 + -2142. Which is the smallest value? (a) -192 (b) 1\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 + 138. What is the tens digit of 4\/26 - (-4540)\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -540070 to the nearest 10000.\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.041925, 1\/6, -1\/9, -9.8?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17220 by 41.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34025077 by -3.\nAnswer: 34025077\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 3, -68 in decreasing order.\nAnswer: 3, -17, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1 - 30*n**2 - 11 + 36*n**2 + 2*n - n**3. Let k be t(6). Let d(y) = -1 - y**3 - 4 + 2*y**3 + y + y**2. Determine d(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-56) - ((-442)\/(-119) + -4). Put 5, 3, p, 251, 0.1 in ascending order.\nAnswer: 0.1, p, 3, 5, 251","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (13 - 7 - 12)) + 40 + -41?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 1)*(r - 4*r + 2*r) + 0*r + 4*r - 2*r - 4*r + 0*r + 2*r + r - 3*r + 2 + 3*r - 1 + 5 - 12*r - 6 to k + f*r and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2))**(-2\/3)*t\/(t**9*t)*t**12)**(-9\/2) assuming t is positive.\nAnswer: t**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 580.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-12)*-6)\/((-5)\/(-320)). Let a = 452 - v. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 24*b**2 + 26*b - 14. Calculate the smallest common multiple of 4818 and o(13).\nAnswer: 48180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242227481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 0*o + o + o**2 - 6*o. Let j be g(3). Let r be -4*(1 + j\/4). Solve -10 = -5*u - 2*c - 0*c, -r*c = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108751580 divided by 14.\nAnswer: 7767970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.1, 13.3, -1.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -523697, -1047665, -1571633, -2095601?\n\"Answer: -523968*a + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -406 (c) -4499\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17040\/(-1710) - 6 - (-21 + 5).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7\/n**(1\/4))\/(n\/n**(-2\/5))**(-46) assuming n is positive.\nAnswer: n**(1423\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*3\/(-6))\/(1615\/(-323)*(-1)\/(-95))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 9. Let d be s(-4). Suppose -j - 4 = -4*a + 3, 0 = 3*j - 3*a - 6. Let b = j + d. Solve 0*x + x - 1 = b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**5\/5 + 4*o**3\/3 - 6. What is the third derivative of i(w) wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-50))\/((-120)\/(-4))*-4?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -2\/7, -1117, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 507828.6 microseconds in nanoseconds?\nAnswer: 507828600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(6\/5)*q))\/q**(3\/4))**(1\/32) assuming q is positive.\nAnswer: q**(-39\/640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)\/y*y)**46*y**(5\/12)*y*y*y\/y**(1\/12) assuming y is positive.\nAnswer: y**(-1094\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 189, 731, 1559, 2613, 3833, 5159, 6531, 7889?\n\"Answer: -10*r**3 + 203*r**2 + 3*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 86867 - -1?\nAnswer: 86868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 183173 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 15 + 41 + 31)*(4*w**3 + 4 - 4) to the form h*w + r*w**2 + n + f*w**3 and give f.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26352200*z**2 + 2*z**3 - 26352200*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2331*a - 2. Let f(k) = 3*k. Calculate r(f(x)).\nAnswer: 6993*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q**3 + q**2 - 3. Let c(m) = -m**3 - m**2 + 1. Suppose 93*b + 5 = 82 - 356. What is b*c(f) - w(f)?\nAnswer: -3*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*y + 8, 3*y + 66 - 38 = -4*b. Sort -1, 4, -7, 1, y in decreasing order.\nAnswer: 4, 1, -1, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k + 1 - 4 - 2*k. Let r(w) = -5*w + 3. Suppose -78*f = -77*f + 4. Let o(n) = f*q(n) - 3*r(n). Calculate o(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 2:37 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 7 + 23 + 3*k + 0 - 6. Let i be z(7). Suppose -i*p - 4 = -96*p. Solve -a + 3*g - 4 + 1 = 0, a = -p*g + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 + 19*z - 15. What is b(-10)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*c**3 + 100*c**3 + 80 - 49*c**3 in the form x*c**3 + s + h*c + k*c**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**6\/120 - j**5\/20 - j**4\/6 - j**3\/3 - 21*j**2\/2 - 21. Let g(n) be the second derivative of t(n). Give g(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174*o**5 + 23*o**2?\nAnswer: 10440*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*((g*g**3)\/g)\/g)**(14\/11)*(g*g\/(g\/g**(6\/5))*g*g*g*g*g**(-1\/9))\/((g\/(g*g**(-2)*g)*g)\/g)**(-28) assuming g is positive.\nAnswer: g**(16244\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/360)\/(16\/(-10)))\/(2\/4).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -3) + (0 - -1). Suppose 4 = m*z - 47. Suppose -9 = o - 8*x + 3*x, 2*o = 3*x + z. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 56*y**3 - 2*y**2 + y. Let a be ((-4)\/(-4))\/((-2)\/(-2)). Let m be z(a). Suppose -3*w = -0 - 33. What is the greatest common factor of w and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5496?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 1. Let o(i) be the third derivative of 0 - 1\/60*i**5 - 28*i**2 + 0*i + 5\/12*i**4 - 2*i**3. Let t = -2 - -24. Calculate t*n(z) - 2*o(z).\nAnswer: 2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010110010 (base 2) to base 4.\nAnswer: -102302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2 + 418*y - 18204 = 0 for y.\nAnswer: -246, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-10))\/((-1)\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 + -10d?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -62, -246, -606, -1202, -2094?\nAnswer: -3342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*u + 107 + 319 = 27*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -57*(-2)\/(-12).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-174)\/(-986)*((-4301)\/22)\/(-23))\/(2\/(-68)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-968)\/304*-10 - (-23 + 55)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-253)\/(-77) + (-6)\/21. Suppose -3*x - 2484 = -5*k, 17*k - 21*k + 1998 = r*x. List the prime factors of k.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -w**4 - 141*w**3 + 327*w**3 - 83 - 137*w**3 wrt w?\nAnswer: -4*w**3 + 147*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t + 11*t + 11515 = 0. Which is greater: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238907?\nAnswer: 41, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1047 and -0.2.\nAnswer: -0.02094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, n: 1, k: 8, z: 3, f: 2, p: 1}. What is prob of picking 1 f, 1 z, and 1 p?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11515 + 4040335?\nAnswer: 4052254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1636487?\nAnswer: 97, 16871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6766 - 1528. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/565 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5716 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8 = n. Suppose 78 = -17*u - 22*u. Put n, u, 1 in increasing order.\nAnswer: u, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 26 - 14 + 2*r - 21. Let z(l) = 3*l - 13. Give -7*d(f) + 5*z(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-12)\/(-81) + (-18 - (-48 + 30))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510486.\nAnswer: 2, 3, 85081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2093612 is divided by 28291?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 10*l**2 + 0*l - 11\/3*l**3 + 35. Find the second derivative of c(y) wrt y.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 559431911 to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 251503, 252963, 255389, 258775, 263115, 268403?\nAnswer: 274633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k - 546 = 40*k. Let x = 79 - 26. Let w = k + x. What is the smallest value in w, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.30000018 - 4.3. What is b rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 3:56 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19141040 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1679 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6897*f. Let i(x) = -2713*x. Calculate i(p(z)).\nAnswer: 18711561*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90576 and 408.\nAnswer: 90576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31211.51 years?\nAnswer: 3121.151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-2\/7)*w))**(-47))**(-2)\/((w**(-2\/3))**(2\/17))**(-44) assuming w is positive.\nAnswer: w**(8356\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 8*b**2 - 3*b - 26. Let r be u(7). Solve -78*o - r*o = -720 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/51 (b) 2\/15 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 4 + 17055*g**2 - 5 - 171474*g**2 + g.\nAnswer: -154419*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3021368 is divided by 3021364.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 7344426554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -18b23?\nAnswer: -18b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p + 101. What is the remainder when u(0) is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f**3 - f**2 + f + 1. Suppose -2*t + 0*t = 0. Let g(d) = -d**3 + d - 1. Let h be g(t). What is l(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/35)\/((-384)\/(-640)). Which is the nearest to t? (a) 4 (b) -2\/9 (c) -2\/49 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 6*g - 3, -5*v + 4*g + 59 = 0. Let i(c) = c**3 - 13*c**2 + 21*c + 4. Let n be i(v). Suppose 2*z = -z - 24. Which is greater: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*b + 14905587 + 79*b + b**2 - 14905587.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*x = -12, 5*h = -2*x - 2*x + 36. What is the greatest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 9*g + 20. Let f be s(7). Solve 3*v + 6 + f = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*d + 129*d - 31356 = 35*d + 358*d for d.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + m - 3*m. Solve -2*s - 2 + 10 = m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1759018, -3518061, -5277128, -7036225, -8795358, -10554533, -12313756?\nAnswer: -14073033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000345 rounded to six decimal places?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h\/(h\/(h**3\/h*h*h)))\/h*h)\/(h**(2\/9)*h))\/(h**(-1)\/((h*h**(-4))\/h)))**(-4\/9) assuming h is positive.\nAnswer: h**(-28\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3 - 13209*t**2 + 79227*t - 118827 = 0. What is t?\nAnswer: 3, 13203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -168, -630, -1538, -3042, -5292, -8438?\nAnswer: -12630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 949863.\nAnswer: 3, 316621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 741406, -0.8 in decreasing order.\nAnswer: 741406, 2, -0.8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*120.9.\nAnswer: -604.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/3 - 7*h**2\/3 + 12 = 0 for h.\nAnswer: -6, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -17 - 1 - (48 - (26 - 2) - 13)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -701\/21 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/5)*y**7)**(2\/25) assuming y is positive.\nAnswer: y**(62\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - 19*p - 6. Let t be 3 + (-1)\/(1 - 24\/18). Let k(y) = y**3 - 6*y**2 + 4*y - 33. Let g be k(t). Determine i(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3 - -1)\/(1 - 2) + (-2662)\/352 and 65\/3604.\nAnswer: 14416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321372503.\nAnswer: 89, 1291, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from {e: 1, w: 1, p: 3, d: 6, x: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b - 280 = 0. Suppose -2*x - x + 6 = 0. Suppose -3*v - n - 60 = -7*v, 3*v = -x*n + b. What is the lowest common multiple of v and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231468 (base 15) to base 4.\nAnswer: -12120323312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/43 less than or equal to -29.79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 12:16 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.22995 - 0.4058. What is h rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rls when three letters picked without replacement from {v: 3, s: 1, r: 4, l: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/(-34) - (-23)\/46. What is the second biggest value in -4, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 1:55 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.8 - 22. Let b = 2 - z. Let i = b - -13.2. Round i to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 6*w - 2. Let n be y(7). Let i = 218 + -220. What is the second smallest value in 0.4, i, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**2 + 0*n - 5\/24*n**4 + 0 - 1\/10*n**5 - 5\/6*n**3. Let r(h) = -5*h**2 - 4*h - 4. Give 4*c(v) - 5*r(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, o: 1, j: 2, b: 2, v: 1}. Give prob of sequence bvjj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a kilogram in grams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 z, 1 j, and 1 b when four letters picked without replacement from {b: 1, z: 2, l: 1, q: 1, j: 1, v: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*-140696.\nAnswer: 211044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -a2b4 (base 14) to base 8\nAnswer: -66526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 + 3*o**4 + o**4 + 5*o**4 - 10*o**2 + 10*o**2 + (2*o**3 + o**3 - o**3)*(3*o - 4*o + 2*o).\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -21 - 3069975.8\nAnswer: -3069996.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**4 + 81*s**2 + 902*s.\nAnswer: 12*s**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*q**2 + 5 + 1 + 1 - 5*q**2 wrt q?\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l - 90 = 0. Let x = l - 15. Solve -n - x = 2*u + 2*n, -5*u = 5*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 8*u + 1. Let k be t(4). Sort -3, k, -4 in decreasing order.\nAnswer: k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10adbdd + -e?\nAnswer: 10adbce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -22 (b) 0.2 (c) -1\/29 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + 0. Suppose 5*h - 25 = -d, -d - 3*h = 4*d - 59. Let j be ((-6)\/(-35))\/((-3)\/d). Put i, j, 4 in decreasing order.\nAnswer: 4, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 502\/3 + -168. Let f = -0.201 - -0.301. Let u = 3 + -6. Which is the closest to p? (a) u (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*a - 344 - 176, -312 = -3*p + 5*a. Let x = p + -47. Let j(k) = -2*k + 2. What is the remainder when x is divided by j(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -32 + 24 + p - 3*p. Let y = -12 - -6. What is the units digit of v(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 1. Let v(f) be the second derivative of f**4\/3 - f**3\/6 + 2*f**2 - 5*f. Give -6*b(c) + 2*v(c).\nAnswer: 2*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**5\/30 - 2*a. Factor p(r).\nAnswer: 2*r**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8875337 days in nanoseconds?\nAnswer: 76682911680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (17 + -25)\/((-8)\/6) - -18. Solve -3*u - 3*l = h, -21*u - 3*l + 24 = -26*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -1. Let l(r) = 5*r - t*r - r. Let z(o) = -o**2 - 4. Let x(h) = h**2 + 5. Let w(b) = 4*x(b) + 5*z(b). Give w(l(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 1320 and 146552\/111 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-8) - (-1155)\/(-220)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513626321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 5 + (5 - 6). Let r be 0 + i - (3 - 10). What are the prime factors of 52\/r + 1\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (4 + (-5*(sqrt(405)*-1 - sqrt(405)) - (-4*-2*sqrt(405) + sqrt(405))))*2)**2*4.\nAnswer: 1008*sqrt(5) + 6676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*j - 0*j + 36, -28 = -3*u - j. What is the units digit of 5\/(10\/(-4)) + u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2 - 26*r - 86. Let m be h(-16). Are -437 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4 - 2*q**2 - 10*q + 1 - q**3 + 22*q. Let u be b(-7). Suppose 2*l = 8, s + u = 3*s - 2*l. What are the prime factors of s?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/6))**(1\/24)*u*u*u\/(u\/(u**12\/u))*u\/(u\/u**(-7)) assuming u is positive.\nAnswer: u**(869\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*w**3 + 115*w**3 - 5 - 95220*w + 95220*w - w**2 to the form g + r*w**3 + i*w**2 + q*w and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -147 in decreasing order.\nAnswer: -3, -4, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/((-8)\/726))\/((-264)\/2464).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - u - 19 + 8 = 0, -3*a + 37 = 5*u. Let n = -7987 - -8004. Solve -k - k - 2*o = 16, a*o + n = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((413\/21)\/((-22)\/33))\/(1\/(-6)). Which is greater: 168 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8448017 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-4*j - 3*j + 6*j) + 2*j - 4*j + 0*j - 8945 + 8945 - 394*j - 2*j - 2*j + 0*j + (3 - 3 - 1)*(-2*j - 2*j + 5*j).\nAnswer: -403*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k. Let j(i) = 2*i - 148. Determine j(w(m)).\nAnswer: -8*m - 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/s**6)*s**(-4)*s)**41 assuming s is positive.\nAnswer: s**164","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.49138173 to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 32200245.\nAnswer: 32200245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/87 in -0.5, 1, 1\/8, 0.3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 254*o. Let c(n) = 510*n. What is 2*c(i) - 5*p(i)?\nAnswer: -250*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -459 + -2?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*-2*-1*(27 - 14)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 20. What is x(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 174099*z + 32208306. Determine r(-185).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34729.\nAnswer: 34729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 529, 0, 3, -0.3, 1\/9 in decreasing order.\nAnswer: 529, 3, 1\/9, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64.3 - -64. Let k = -2069 - -2078. Which is the closest to 1? (a) 2 (b) k (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6, -d - 3*k + 0*k = -34. Let s(n) = -d + 25 + 106*n. Is 27 a factor of s(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 6. Let a be d - 0*(-2)\/(-4). Let y = -13\/2 + a. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 172710.\nAnswer: 1381680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**5 - 88*d**4 - 60*d**3 + 504*d**2 = 0?\nAnswer: -21, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24735.38 less than -18.63?\nAnswer: -24754.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2504 + -1?\nAnswer: 2503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -194\/7 - -797\/28. Sort 1\/4, -0.1, p, -0.4, 2.\nAnswer: -0.4, -0.1, 1\/4, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(4\/8))\/(-1). Let u be ((-2)\/b)\/((-13)\/364). Suppose -d = -u - 21. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8805 is divided by 86?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, -7179 in descending order.\nAnswer: 10, 1, -7179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 602, 1156, 1708, 2258, 2806, 3352?\nAnswer: 3896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1944 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -144, -37\/2 in decreasing order.\nAnswer: 0.03, -37\/2, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409775?\nAnswer: 5, 37, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*c + 3971 - 26921. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3152 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/12 - r**3\/6 - r**2 + 16*r. Factor k(c).\nAnswer: (c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -822917?\nAnswer: 164583.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 9 = 3*a, 9*n = 8*n + 5*a + 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 + 10\/8. Let d(o) = o**2 + 58*o - 381. Let f be d(-64). Solve -f*z + 5*b = 21, -z = -3*z - b - g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1055 divided by -1055.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/5))**(-41\/4)*(g*(g*g\/g**3)\/g)\/(g\/g**(2\/19)) assuming g is positive.\nAnswer: g**(-3057\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -26. Suppose m = 3*c + 2*c. Solve c*l - 5*l = 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 8:26 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-168)\/5)\/(4\/(-8)*4\/250). Calculate the greatest common factor of 75 and d.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/2439929?\nAnswer: -7\/2439929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8860 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3223*c**3*d*q - 11*c**3*d + 97*c**3*q**2 - 694*c**2*d*q + 4223*c*d*q**2 - 2*c*d wrt c?\nAnswer: -19338*d*q - 66*d + 582*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178795, -4, 1 in ascending order.\nAnswer: -4, 1, 178795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28440.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535.703 milligrams to kilograms.\nAnswer: 0.000535703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718289 is divided by 4757.\nAnswer: 4739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13281 + -13284. Let l be 1 - ((1 - 4) + 3). Sort 0, l, 97, u.\nAnswer: u, 0, l, 97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 5*s + 6. Calculate m(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -45, -397, -1335, -3153, -6145?\n\"Answer: -49*r**3 + r**2 - 12*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2824200 divided by -2092.\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -0.041, -243586?\nAnswer: -243586","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14353.9686426 plus -0.2?\nAnswer: -14354.1686426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 2*y**3\/3 - y**2\/2 + 2*y. Let m(l) = 3*l - 1. Calculate 7*m(h) - 5*q(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) + sqrt(1944)*6)*-1)\/((sqrt(12) + sqrt(300)*6)*3) + -4)**2.\nAnswer: 440*sqrt(2)\/93 + 144434\/8649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*w + 6 = m, 2*m - 7 = -3*w. Suppose 2*s = 0, -m*y = -5*y - 5*s + 63. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -5.6.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(85) + 6*sqrt(85)*-2 + (sqrt(85) - (sqrt(85) + -1*sqrt(85) - sqrt(85))*4))\/(sqrt(180)*2 + -2*sqrt(605)).\nAnswer: 3*sqrt(17)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -27752195 and 367?\nAnswer: 27752562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 16) to base 3.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160955.\nAnswer: 5, 32191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 12 - 34*j + 351*j)*(-4 - 3 + 5)*(2*j - 4*j + 5*j).\nAnswer: -1902*j**2 + 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-16))**26*(n*n\/(n**(-20)\/n))**(-17\/2) assuming n is positive.\nAnswer: n**(-1223\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 25 = 0, 5*y - 13*u + 12*u = 10. Are y and 3\/458 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287.12625 rounded to two decimal places?\nAnswer: 287.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 812106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + -1)*-4 + (1 + sqrt(192) - sqrt(3) - (sqrt(3) + sqrt(243) + 0)))**2.\nAnswer: -310*sqrt(3) + 2908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6223754197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d07 - -8?\nAnswer: 2d11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 171*v + 1619. What is q(-10)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9356.64 less than -5466?\nAnswer: 3890.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21795641 divided by 1147139?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-752)\/336 - (2 - 44\/28).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23\/5 + 491\/10. What is the common denominator of v and -31\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 2*x - 15*x + 25*x.\nAnswer: 8*x + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 1:38 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*t**3 - 5285*t**2 - 5284*t**2 + 10579*t**2 + 3*t to x*t + p*t**2 + h*t**3 + q and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u - 3 - 15. Solve 5*h = o + 14, 5*o - 4*o - u = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 169\/5 - (-2)\/10. Let t = -25 + f. Calculate the remainder when t is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1446 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) -107 (c) 9.9 (d) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**5 + n**4 + 1. Let j(i) = 8*i**5 + 3*i**4 + 5*i + 3. Let u(k) = j(k) - 3*w(k). Find the second derivative of u(z) wrt z.\nAnswer: 100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 1:20 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 83 = -4*f - 2*l, -5*l + 341 = 4*f. What is f rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -23907, -3 in increasing order.\nAnswer: -23907, -3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -1. Let y be 20\/110 + (-84)\/(-22). Solve -3*c + 13 = -0*c + y*p, -m*c + p = 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -94 - 198*l + l**2 + 49 + l**3 - 3*l**4 + 43 as m*l + h*l**4 + f + q*l**2 + b*l**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a millennium?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13249186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 55\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(((-38)\/(1026\/27))\/(2\/16))\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-11)*(28\/616 - (-147)\/154)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -24. Let o = l - 11.4. What is the closest to o in 0.5, -2, 3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 12, 4*l - 16 + 1 = -3*i. Let k = 148 + -149. Let x be (l\/(-8))\/(k\/12). Solve -2*u = u - x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27308 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 2\/5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 1:03 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 2:36 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 126.87 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nineteen quarters of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 41. Let l = c + 13. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*t + 5*p, 0*t + 5*p + 7 = 3*t. Let v = t + 7. Sort -1, -3, v in ascending order.\nAnswer: -3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2461.198 and 187826634.\nAnswer: 187829095.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 82, 158, 230, 298, 362, 422, 478?\n\"Answer: -2*g**2 + 82*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j + 2 = -122. Suppose o = -0*o. Suppose -6*g + 21 = 3*b - 2*g, 0 = -b + 5*g - 12. Solve -5*c = -x + 5, -b*x + o*c + 4*c = -j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -6. Let o(p) = 2*p**2 + 10*p - 48. Let k be o(-11). Calculate the highest common factor of g and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 309 + -44. Suppose -2*v = 5*n - q, v + n - 134 = -3*n. Is v smaller than 131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 1 + 4 + (1 - 2 + 4)*(-1 + 1 + 1))*(-203 + 118*h - 12 - 119*h).\nAnswer: 4*h + 860","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 144026432 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = y - 34. Suppose 8*q - y = 100. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a day in hours?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 20250?\nAnswer: -182250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 466.006 - 483. Let j = -17 - g. Let u = j + 0.0156. What is u rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 46\/5 of a decade?\nAnswer: 1104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6501 or 6493?\nAnswer: 6493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12202521 is divided by 59.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6532382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 268*k**3 - 148*k**2 - 3*k - 12144 wrt k.\nAnswer: 1608*k - 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 10 + 6 = 2*j, -3*r = -j - 12. Let i(w) be the first derivative of 1 + 1\/3*w**3 - w - 1\/2*w**2. Determine i(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1435*a - 10 = -1433*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**3 + n**3 + 0*n**3 + (n - n + n**2)*(5*n + 2*n - 2*n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -4)\/((-4)\/2). Let r = 3914 + -4361.1. Let t = r - -447. What is the closest to q in 28, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*g + 28, -p + 0*g + 3*g + 17 = 0. List the prime factors of 26\/p + (-5)\/25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 - 9084800*m\/11 - 10316698880000\/11.\nAnswer: -2*(m + 2271200)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-5 + 7 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 14. Let r = -11.93 - -11.83. Let g = -269\/6 - -45. What is the closest to r in g, 1, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*4\/10*(-45)\/(-252)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3731, -14893, -33499, -59549, -93043, -133981, -182363?\nAnswer: -238189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -263150800*g**2 + 258117635 with respect to g.\nAnswer: -526301600*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-1 - 0\/(-7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -17*l**2 - 4*l + 5. Let q(s) = 8*s**2 + 2*s - 2. Let u(j) = 3*d(j) + 7*q(j). Let c be u(-1). Suppose -c*w + 42 = -10. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*f + 759995, 0 = 3*b - 2*f + 690005 + 1589997. Round b to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 7*y**2 - 7*y - 7. Let w be d(-7). Let h = 1318 - 1353. Let q = w + h. What is the lowest common multiple of 8 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) + (-98)\/(-5). Suppose -5*z = -2*z - 4*h, 2*z - k = -4*h. Suppose 5*x - 60 = -5*u, -z*x + 4 + 24 = 2*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/36)\/((-96)\/(-72))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c + 48*c + 91 = -59*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**6\/20 + b**4\/3 + 5*b + 5. Let z(w) be the third derivative of d(w). Let l(x) = 3*x. Give z(l(t)).\nAnswer: 108*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -7*d**3\/2 - 6*d**2 - 69*d. Let x(s) = 5*s + 3. Determine -2*g(h) - 9*x(h).\nAnswer: -3*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12921 + -12921.00010357. Round u to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 64*w**2 - 3*w + 3. Let n be d(3). What is n rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(448) + -5))**2.\nAnswer: -80*sqrt(7) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - sqrt(704)*-2) + 2 + 5)**2.\nAnswer: 336*sqrt(11) + 6385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3 + 2 - 3*p + p.\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -2*j**7\/735 + j**6\/84 - 2*j**5\/105 + j**4\/84 - 11*j**2. Factor q(p).\nAnswer: -2*p*(p - 1)**2*(2*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2\/5 (c) 2\/89 (d) -5 (e) -2 (f) 43.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 11:38 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1725 - 3b?\nAnswer: -1762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -2. Put 2, o, -1 in descending order.\nAnswer: o, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 921055 (base 11) in base 14?\nAnswer: 2a759a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((4 - 3) + 8 + -12 + 16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12 = -2*c. What is the smallest common multiple of 11\/(51\/((-44574)\/(-253))) and c?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43818*r**2*v + r**2 + 95409*v wrt r?\nAnswer: -87636*r*v + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -98\/471, -0.195, 5, 3?\nAnswer: -98\/471","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6515, 13025, 19533, 26039, 32543?\n\"Answer: -r**2 + 6513*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*r = 202, 3*h + 0*r - 5*r - 146 = 0. Let s be (-2)\/(-9) - (-102)\/27. Suppose 587 = s*u - 253. Calculate the greatest common factor of h and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 21051?\nAnswer: 21044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/4171146 and -11\/297939.\nAnswer: 4171146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -17, 8, -1, -3, 228 in ascending order.\nAnswer: -17, -3, -2, -1, 1, 8, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 49 = -5*j, j + 6*x - 5*x = 9. Suppose 4*g + 15 = j*n - 9*n, 12 = -n - 5*g. Solve n*m - 6 = 0, -3*u - 3 - 15 = -3*m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1052 and 825294.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*a)*(1 - 5 + 3 - 2 - 2 + 7 + (-1 - 4 + 3)*(6 + 12 - 4)) + 101*a - 207*a + 93*a to g*a + o and give g.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from yzybznzxzyyz.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -95*h**3 - 4*h**2 + 7*h + 3. Let i(q) = 94*q**3 + 4*q**2 - 6*q - 3. Let f(r) = -6*i(r) - 5*l(r). List the prime factors of f(-2).\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7*i**2 - 4*i + 4. Let s be m(3). Let d = s + -35. What is the highest common divisor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4130932 divided by 442.\nAnswer: -9346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**3 - 103*p + 7*p**3 + 5701 + 104*p.\nAnswer: -p**3 + p + 5701","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1307.6 + -1330.802. What is s rounded to one dp?\nAnswer: -23.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4308)\/(-22) + 4\/22. Is 1 + c + (4 - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 5*c + 6. Let t(b) = -b. Let i(u) = -5*t(u) - y(u). Let o be i(3). Solve l = -4*q - 5, -o*q = -0*q + 2*l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1735 - 1823.9. Let q = 182 - 265. Let t = q - r. What is t rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*q, -2*q + 14 = 2*g + 2*q. Solve 4*l = g + 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 13*f + 49. What is k(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -90, -201, -356, -555, -798, -1085?\nAnswer: -1416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105542 + -70941. List the prime factors of a.\nAnswer: 7, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from emtee. What is prob of sequence eetm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 728.426mg in kilograms?\nAnswer: 0.000728426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/5 + 76891*z**2\/5 + 26208999*z\/5 + 2238369309\/5 = 0 for z.\nAnswer: -76549, -171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3 + 12117*y**2 + 72783*y + 109215 = 0. Calculate y.\nAnswer: -3, 4045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 - 13*h**2 + 6*h + 1. Let r be i(6). Which is greater: 1365 or r?\nAnswer: 1365","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*-2*3\/6. Let i(w) = -241*w - 1. Let z(j) = -60*j. Let b(n) = c*i(n) - 9*z(n). Does 14 divide b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - j + 3, -124*d - 3*j + 121 = -186*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 13*r**2 - 12*r + 2. Let d be s(-12). Suppose 3*j = j + d. Let g be (j - -2)\/(3\/2). Which is smaller: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**2 - 3. Let i(v) be the third derivative of -17*v**2 + 0*v**4 + 0 + 1\/3*v**3 - 1\/10*v**5 + 0*v. Determine -3*i(k) - 2*p(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1957 - -1.2957. Sort w, 5\/88, 0 in increasing order.\nAnswer: 0, 5\/88, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 85. Calculate r(-28).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.544 + -13.544. Let l = -0.6 + -7.4. Put l, 1\/2, m, -0.5 in descending order.\nAnswer: m, 1\/2, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*o**4 + 40*o - 29*o**4 + 82*o**4 - 29*o**4 - 6*o**2 wrt o?\nAnswer: -60*o**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 21*p. Let k be s(21). Solve -3*r + 4*l + 0*l + 3 = k, -3*l = 4*r + 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77*(18\/(-42))\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, c: 1, a: 12}. Give prob of picking 3 a.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -10. Let f = 287034172 + -287034183.00000092. Let a = f - o. Round a to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - w. Let d = -0.74 + -1.26. What is the nearest to d in w, 1, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95a (base 11) to base 4\nAnswer: 102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 12*a - 1332. Suppose a + 573 = 9*d. What are the prime factors of d?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efzf when four letters picked without replacement from {e: 2, z: 2, f: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - 21. Let g = 24.009 + b. Round g to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i**3*j + 12*i**2*v + 5*i*v - 2*j*v + 63*j wrt i?\nAnswer: 9*i**2*j + 24*i*v + 5*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366937 is divided by 2308.\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 18 (c) 297\/23 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (9 - 10) + -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39789.53 nanograms to milligrams.\nAnswer: 0.03978953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -2*p**2 + 1\/5*p**5 + 3\/70*p**7 - 3\/20*p**6 + 0 + 0*p**4 - 1\/224*p**8 + 0*p**3 - 20*p. Factor w(y).\nAnswer: -3*y**2*(y - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -273 greater than or equal to -82026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13a3365 (base 13) to base 9.\nAnswer: -12650647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2 - 4*q - 3. Let i be t(-3). Is 5 a factor of (i + 17)*(2*-206 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 6:16 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4523 - 2641. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1439 = 9*a + 989. What is the smallest common multiple of a and 600?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (4*sqrt(4)\/sqrt(2))**2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -367*j**7\/105 + j**6\/60 + j**4\/12 - 4895*j**3\/6 + 5013*j**2. What is the derivative of q(m) wrt m?\nAnswer: -2936*m**3 + 6*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17289.999988926 + -17290. Round q to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.4*-0.82.\nAnswer: -6.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2472 is divided by 836?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(49)*1 + sqrt(49))*5)\/(sqrt(7) - (2*sqrt(448) + sqrt(448))) + -2).\nAnswer: -12 - 60*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 - -3.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207 and 2039157?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2556 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15922734 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - i - 4*i + 1446, -4*x - 2*i + 1914 = 0. Calculate the greatest common factor of 7473 and x.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(6\/5)*y**(2\/5)\/y)\/(y*(y**(-5\/2)\/y)\/y*y**(-5)))**(2\/87))**(-5\/3) assuming y is positive.\nAnswer: y**(-91\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148\/7 - -881\/42. Which is the nearest to 2\/3? (a) -1\/4 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/45, 3\/5, 7666\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by 110186.\nAnswer: 27\/110186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.611096 minutes to microseconds.\nAnswer: 576665760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -147\/102562 or -1?\nAnswer: -147\/102562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -773026976*q**2 - 49*q - 1913055?\nAnswer: -1546053952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a + 4. Suppose -g + s - 4 = 0, -g + 3 = 5*s + 1. Is 14 a factor of t(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus 0.143?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -819, -977, -1135, -1293, -1451?\n\"Answer: -158*f - 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 91 = 6*k - 36, 5*n + 1 - 56 = -3*k for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-86)\/12*6995\/5622. Let q = 40\/3677 - 344674\/31008141. Let o = s - q. What is the common denominator of -29\/18 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**2*l - 685177*a**2*x - 450*a*l*x - 21*a*x - l*x - l + 3 wrt a.\nAnswer: -6*l - 1370354*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwwqxxmcvmwvxv. What is prob of picking 1 q and 3 v?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 8463.996.\nAnswer: 4231.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:07 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/1169350 and 33\/14349595?\nAnswer: 1004471650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110001100 + -101?\nAnswer: -100110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 - -71.6. What is the nearest to 1\/3 in -22, d, -4\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1290*k**3 + 6025*k**3 + 8*k - 8*k.\nAnswer: 7315*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbffffbefrfffbrpnfne. What is prob of sequence pfr?\nAnswer: 3\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.91 take away -1243553896?\nAnswer: 1243553896.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1007*b**2*g - 4*b**2 - 22*b wrt g?\nAnswer: 1007*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 74*u - 8239. Give b(61).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2499 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 2*g**2 + 4000. Let v be 0\/(-1 + (0 - 3)). Let x be l(v). What is x rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -8*w**7 + 26 + 14\/3*w**3 + 0*w**2 + 0*w**4 + 0*w**5 + 0*w**6 + 0*w. Find the third derivative of j(h) wrt h.\nAnswer: -6720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*i + 3 = -43, 4*i = -3*z + 79. Calculate the lowest common multiple of 48 and z.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58113 and 4829836?\nAnswer: 43468524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1725.246 * 13.\nAnswer: -22428.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1652 (base 8) to base 6\nAnswer: 4202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2225 (base 13) to base 4.\nAnswer: 1022123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u. Let f(t) = 120*t. What is -f(j) - 15*n(j)?\nAnswer: -90*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 278166 = -4*s + 28923, 5*s + 15 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/76 and 57\/20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 18 = 3*y, -9*w + 6*w - 9 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3750 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/42 + 4\/21. Let m(l) be the second derivative of -k*l**3 + 0 - 2*l + 0*l**2. Determine m(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 227166?\nAnswer: -1\/75722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -104440, -208879, -313318, -417757?\n\"Answer: -104439*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(2106\/(-182))*924\/5929.\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 * -190.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 1, r: 1, w: 1, l: 1}. Give prob of sequence aw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 2)\/(12\/(-3)). Solve -3*l + 8*l + 25 = n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41, -73, -95, -101, -85, -41, 37?\n\"Answer: a**3 - a**2 - 36*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 - -1.69. Let m = 0.01 + f. Suppose -17 = -h - 5*i, 7*i - 2*i = h + 23. What is the third smallest value in h, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -4\/17, -3, -15?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*q)*(-3*q - q + 2*q)*(0*q**3 - 3*q**3 + 4*q**3).\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22524360 (base 7) in base 15?\nAnswer: 28e7dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m*m*m**(-1)*m)\/m)**(-29))**(-5)\/(m**(-2\/3)*m*m*m*(m\/(m*m\/(m*m*m**(2\/7))*m))\/m*m*m)**45 assuming m is positive.\nAnswer: m**(1905\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q. Let g(o) = -11*o**2 - 19270. Give y(g(j)).\nAnswer: -11*j**2 - 19270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80.3 - -0.7. Let w = r + -79. Let v(o) = 2*o**3 - o**2 + 1. Let j be v(-1). Which is the closest to w? (a) j (b) -2\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011010001 - 0?\nAnswer: 10011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6096847 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1572 divide 1322052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -105266 and -105261 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250689 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27830, -55661, -83492, -111323, -139154?\nAnswer: -166985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/8836 and -17\/2532.\nAnswer: 5593188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54719295 + 54719295 - 1105*r)*(-2*r**2 + 2*r**2 + 2*r**3) + (-5*r**3 + 3*r**3 + r**3)*(3 - 3 + 2*r).\nAnswer: -2212*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k - 3*k + 3*k + 2*k + 2*k - 2*k + (-109 + 127 - 83)*(3*k - 6*k + 4*k) - 4*k + k + 2*k.\nAnswer: -66*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -5 - (6 - 9 - -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/2)\/(-3)*(-200)\/60.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5*7\/(-7)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**2 - 58*i - 124*i - 3 + 40*i**3 + 5 - 57*i.\nAnswer: 40*i**3 - 6*i**2 - 239*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.1, -14279, -6, -2, -0.1?\nAnswer: -14279","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (63 - 1 - (164 - 167) - (-15 + 10)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 336, 329, 322?\n\"Answer: -7*b + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 85583, 85582, 85581, 85580, 85579?\n\"Answer: -k + 85584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 17*o + 84. Let y be k(4). Suppose -b + 3*d = y, 12*b = 9*b - 5*d. Solve 4*h + 4*l = -b*l + 4, l = 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -1, -6, -21, 13, 107.\nAnswer: -21, -6, -2, -1, 0, 13, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 7:02 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-3*(-3)\/27?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + (4 - (2 - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 4:39 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 213433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 1.21365\nAnswer: -4.8546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 82. Let q = -13 - t. Solve 1 = h + q*r, 2*h - 3*r - 2 = r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 328 divided by -9\nAnswer: -328\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51\/4 of a microgram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*287408\nAnswer: -86222.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/20 - (-138)\/8. Let s = 11 - 7. Suppose -4*c + z + s = 0, -4*z - 2 = -2*c - z. Is c less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25892 - -25892.1. Let h = 0.7 + -0.3. Which is the closest to 2\/3? (a) h (b) m (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -310.8 in -1, 2\/89, -124, 0.5, -2?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a - 3. Calculate d(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 13320?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -4. Let v = -669 - -673. Put 8, v, h in increasing order.\nAnswer: h, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -1.6. Let v = -6.8128 - -7.1128. What is the nearest to j in v, 0, -4\/5, -2\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcwbc. Give prob of sequence bw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 93*x + 3551. Calculate f(-38).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10333202134 + -200?\nAnswer: 10333201434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-354)\/(-8) - (2 - 56\/32). Let g = q + -39. Suppose -g*n = -7*n + 288. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -8 + 6 + (17 - (26 + -17))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 786666 = -13886*h + 232830 - 1209686 for h.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2152732 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 14 + 4. Suppose -15*b + v*b - 6 = 0. Find the third derivative of -16*j**2 + j**2 + 5*j**2 + 28*j**3 + b*j**2 wrt j.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0.07. Let d = j + -5.07. Sort -4, d, 5 in ascending order.\nAnswer: d, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 11*x + 9. Let m = -54 + 6. Calculate the common denominator of m and z(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 6:53 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6493 and 57061?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/210)\/((-2)\/8).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/(102\/6))\/((-158)\/(-1975)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifteen eighths of a day?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 - 32. Suppose q - 10 = -5*p, -q + p = -4*q + v. Suppose 2*a - 42 = -5*b - 9, 0 = -3*a + q*b - 13. Solve -a = d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*h + 5*y, h + 4*y = 8 - 24. Suppose h*g = 2*g. Let o(l) = 2*l + l + g*l. Let v(s) = s**2. Determine o(v(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49391276 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*p**2 - 136161 + 369*p.\nAnswer: -(p - 738)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 24 = -2*y, l - 3 = -2*y + 6. Suppose 0 = -y*z - 6 - 8. Is -7 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 5*s = 6, -6 = -3*p - 2*s - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/9 - 118*s**2\/3 + 3808*s\/9 + 255208\/3 = 0.\nAnswer: -38, 69, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 - 2)*(-2 - 4 + 5) - 2 + 2 + 2)*(0*a + 2*a + 3*a) + (-7 + 6 - 2)*((a + 0 + 0)*(-2 + 3 - 2) + 1 - 1 + 2*a).\nAnswer: 37*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 13. Let m be q(22). Suppose m*z - 5*z - 8 = 0. Suppose y = z*u + 3*u + 5, 5*y - 2*u = 25. Solve -y = -3*a + 8*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 2*h + 41. Let g = -203\/4 + h. What is the nearest to g in 0, -160, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-7) + (-8)\/126. Let t be 280\/(-800)*(-2364)\/(-154). Let j = -105\/22 - t. Put a, -1, j in ascending order.\nAnswer: -1, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 75082?\nAnswer: 1\/75082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.66 - 28. Let p = 1.6 + o. What is p rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(78)*-3)\/(sqrt(6) + (3*sqrt(864) - sqrt(864) - sqrt(6))))**2.\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3783106 from 0.8936.\nAnswer: 3783106.8936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 25 = 0, -4*b + 4*y - 168 = -0*b. Let q = -37 - b. Solve 2*h + 2*h + 8 = q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6 + q**3 + 3 - 2*q**3 - 4*q**2. Let l = 7 - 3. Suppose -36 = -p - 3*p. Let t(o) = 2*o**3 + 9*o**2 + 7. Determine l*t(j) + p*s(j).\nAnswer: -j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/135*2*(-1068)\/(-178)*15.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + n - n)*(5 - 3 - 3) - 4 - n + 4 + (-4 - 5 + 7)*(-5*n + n + 5*n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*(sqrt(21) + sqrt(21)*-1) + (sqrt(2541)*-1 - sqrt(21)))\/((sqrt(63) - sqrt(567))\/sqrt(9) - sqrt(2016)\/sqrt(8)) + 3.\nAnswer: 3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*q - 18*q - 14*q)*(1 - 4 + 0)*(-2*q - 2*q + 0*q) as g + k*q**2 + f*q and give k.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 1. Let u(x) = 20*x**3 + 2*x**2 + x - 1. Let q be u(-1). Let s be ((-48)\/30)\/(4\/q). Give n(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4 + 927*v**3 + 72036*v**2 + 60060*v - 853776 = 0. Calculate v.\nAnswer: -154, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31632, -126575, -284820, -506373, -791240?\nAnswer: -1139427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 267900541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 4:30 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/(45\/(-3))*4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {s: 11, r: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.2 + -5.6. Let t = -3.1 - s. Let w = 78 - 78.1. Which is the nearest to 2\/5? (a) -1 (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-15))\/2*0. What is d in -1\/4*d**4 + 0*d**2 + 1\/2*d**3 + 0 + k*d - 1\/4*d**5 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j - 10*j. Suppose -16*h - h + 2040 = j. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27 (b) -17\/3 (c) -2\/11 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 - 6*g**3 + 2*g**3 + 2*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3, 4*f + 0*f - 9 = -5*y. Is y less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 47*n - 28*n + 14*n + 229, 3*n + 17 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52281, 52422, 52563?\nAnswer: 52704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 29 = -8*a - 5*m, 78 = -4*a - m. Let u be (a\/76)\/(2\/236). Is u at least -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iitiitttbbiit. What is prob of sequence bi?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.496812 less than 73067.47?\nAnswer: 73110.966812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -0.9, -2\/5, -4, -76, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.95718566 + -0.9568. What is b rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 - (-2768)\/304) + 18197094\/38 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 13*l - 16. What is o(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 + 112*w - 112*w.\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/16 and -97\/1972.\nAnswer: 7888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1923835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*o + 134*o - 7 = 0. What is the closest to 1 in 0.3, -7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 9823260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6466*m + 867 = 6483*m for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**5\/120 - u**3\/6 + u. Let a(b) be the second derivative of t(b). Let p(g) = -g**2. Calculate p(a(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2008000 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: What is the thousands digit of 141653346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -2, 2, 11, 9, 869 in descending order.\nAnswer: 869, 11, 9, 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*r = 79, 3*r + 128 = -i + 6*i. Suppose 4*j + 4 = -8, 4*j = -3*u - 54. Let l = u + i. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-2112)*-33*-34.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -14214?\nAnswer: -4\/7107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 0*t - 2*t - 2*t - 7*t + 2*t - t + t - 2*t - t - 4 + 4 + (-4 + 1 + 1)*(t + 0 + 0))*(-5 - 6 + 3) - 2*t + 6*t - 3*t as p + y*t and give y.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 13887.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 236 = -2*z, 85*r = 5*z + 83*r - 587. Calculate the highest common divisor of z and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -126, -130?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.099459758 * 1\nAnswer: 0.099459758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, 4, 1\/4, -11.4322 in descending order.\nAnswer: 4, 1\/4, -1.6, -11.4322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 - (130\/234)\/(5\/42)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*a. Let v be (-14)\/21*(a + -12). Suppose 4*z = -4*o - v, o = 3*o + 3*z + 8. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h. Let m be k(-3). Let g = m + -10. Solve -r = -g - 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 6*h - 119*h**2 + 4*h**2 - 17*h + 0 + 25*h in the form i*h**2 + f + m*h and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -451 + 2277. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 divided by 257.\nAnswer: -110\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/23777 and (-3)\/4*416\/(-1144).\nAnswer: 261547","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*c - 86, v - 5 + 3 = 0. Let l(u) = -u**3 - 15*u**2 + 56*u + 38. Let i be l(c). Solve -7*h + i*h - 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(8\/11)*u**6 assuming u is positive.\nAnswer: u**(74\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -135*c + 263*c - 158*c - 180 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w. Let c(y) = 84*y. Let u(g) = 13*g. Let q(a) = 5*c(a) - 32*u(a). Give n(q(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 7 = b - 3*b, -b - 39 = -40 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13460 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 190.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 4:48 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13 - 2)*4*(-2)\/(-24). Let a = 7 + -6. Put f, a, 0, -1 in decreasing order.\nAnswer: a, 0, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -11, 4, -9, -5, 1547.\nAnswer: -11, -9, -5, 3, 4, 7, 1547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250766, -501514, -752272, -1003046, -1253842?\nAnswer: -1504666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -5. Let y = -31.22692 - -3.22822. Let g = n - y. What is g rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 - (-14)\/(-10). Let n = 0.2 + 0. Let p = -0.3 - n. Which is the closest to w? (a) p (b) 2\/11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10925?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 97761413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**3. Give q(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - 3*i + i)*(-5*i - i + 5*i) + (-2*i - 3*i + 7*i)*(-9 + i - 1 + 3) to n*i + h*i**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w - 2 = 0. Let f be (-3 + 1)*-2 - w. Factor 0*v**2 - 265*v + 3*v**f + 265*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6200 is divided by 2992.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*n + 4*z, n = -n - 3*z + 55. Let t(v) = -2*v**2 - 13*v + 427. Let o be t(12). Let q = n + o. Solve 2*h + q*h + 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**3 - 6*m**3 + m**3 + 2*m**3 + 2*m - 2*m - m + m + 2*m**3 + (-3*m**2 + 3*m**2 + m**2)*(-4*m + 3*m + 0*m) + 4*m**2 - 5*m**3 + 8*m**3 + 3*m**2.\nAnswer: 5*m**3 + 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -50.9*0.051\nAnswer: -2.5959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + -2*sqrt(147) + 4 + sqrt(147) + (sqrt(27) + 5 - sqrt(3)) + 2.\nAnswer: 2*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2485, 7983, 17145, 29971, 46461, 66615?\nAnswer: 90433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7950866?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 23066057.\nAnswer: 92264228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1*1)\/((-3)\/9). Suppose -3*t = 5*f - 26, 0 = -16*t + 11*t + 5*f - 10. Solve 5*u = 4*a, -2*u + n*a - 5 = t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8061.676g in tonnes?\nAnswer: 0.008061676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132)\/(-2079))\/(5*(-16)\/560)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 17 + 0 = 0. Let d(u) = -u**2 - 11*u - 6. Let z be d(-10). Suppose -z*q = -9 + h. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081679099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-4))\/(5\/(-60)). Put -0.2, -2, l in descending order.\nAnswer: l, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113 + 81. What is the tens digit of x\/6*210\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*c - 101 = 361 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((2*sqrt(91) + sqrt(91) - sqrt(91) - sqrt(91) - sqrt(91))*3)\/(sqrt(1008) + -2*sqrt(1008) + sqrt(1008) - sqrt(1008)) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 12*r + 60. List the prime factors of (462\/(-44))\/(1\/r).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 4034?\nAnswer: 4025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 11*c + 3. Let k(u) = 7*u**3 + u**2 - u + 1. Let j be k(1). Let q(p) = -4*p - 1. Let g(o) = j*q(o) + 3*m(o). What is g(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -6*l - 92. Suppose 373*r - 370*r - l = 0. Find w, given that -2\/11*w**r - 6\/11*w**2 - 4\/11*w + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3415672+-30293816\nAnswer: -30293814.6584328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 6:00 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -23*(-2)\/(-2). Let o = -31 - -61. Let s = o + x. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 87 + 126 = 5*l, -5*l = -4*h - 189. What are the prime factors of l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -389983 or -389978?\nAnswer: -389978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -442 - -454. Solve 5*q = -l - r + 34, q = -5*l - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2750 is divided by 449.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 14 = 18. Let v(a) = -a**2 + 7*a + 60. Let c be v(-6). Let z be 213\/18 + (-3)\/c. Calculate the greatest common divisor of z and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 757272 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 14. Let z = 7 + r. Let x = 0.3 + 0.2. Sort -2, x, z.\nAnswer: z, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794732 is divided by 82.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 30 = 5*m, 4*n - 2*m + 6*m = 12. Suppose n*g - 1 = -5*a - 11, -4*a = -5*g - 28. Solve 4*z = -a - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -13.43. Round u to 1 decimal place.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 2}. What is prob of sequence np?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0224, 11\/2, 0.2 in ascending order.\nAnswer: -0.0224, 0.2, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-5)\/(40\/(-12))*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 499601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1635 + 1647 - (-24 - (0 - 2)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*y - 210 = 52*y. What is the remainder when y is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 12434*x + 4. Let h be y(1). Let b = 28909 + -10931. Let k = h - b. What is k rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2062869.92 to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 191\/720 or 1?\nAnswer: 191\/720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -16\/7, -81, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 103\/(-3) - (-2)\/6. Let v(b) = -b**3 + 20*b**2 - 79*b - 20. Let p be v(14). Let x = r + p. Solve 3*k = -k - x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1130 + -780. What is the highest common factor of 70 and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 188144 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 61*a + 490. Let v be y(-8). Suppose -4*m + v*w + 14 = 0, -26*m + 4*w = -29*m - 6. Factor 3\/2*o**3 + 3\/2*o**4 + 0*o + 0 + 0*o**m.\nAnswer: 3*o**3*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 16*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10\/120*-20*3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-10) + 6\/15. Let s be (p + 0)*(-6 + 3). Let t = s + 2. Which is the biggest value? (a) 1\/4 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.15 and -47760200834.\nAnswer: -47760200834.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 9*l**4\/8 - l**3 + 11*l**2. What is the units digit of s(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - -1.5. Let v = -3 - -2.7. Let m = v - t. Which is the third biggest value? (a) -2\/21 (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1750 divided by 350\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 12:59 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -88de + 9?\nAnswer: -88d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003825 rounded to 5 decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = 4*h + 3, 3 = 4*j + 5*h. Suppose 2*i - 15 = -3*i. Suppose i*k = -k. Solve -5*f - 2*z + 6*z = -33, -4*f + j*z + 24 = k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 3573864.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 291184763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:00 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 421*u**2 + 10945*u - 31. What is w(-26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.4. Let y be (-2)\/(-4)*(-2)\/4. Put y, -2, f in ascending order.\nAnswer: -2, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1074\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 1. Suppose 0*i + 15 = -2*i - 3*m, 22 = -2*i + 4*m. Let b = -7 - i. Let h(q) = -b + 6 + q - 2 - 1. Calculate 4*h(z) + 5*s(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -10444.5463?\nAnswer: 41778.1852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + w**2 + 2*w - 4. Let n be (15\/20)\/((-1)\/4). Let d be m(n). Suppose -4*b + 0*b + d = -j, -3*j = 3*b - 27. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4899 divide 699195078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/12)\/(1\/6). Suppose c*n + 3*j = n + 60, -4*j + 90 = 3*n. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxzxxxxxxzzxxx. What is prob of picking 1 z and 2 x?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from pfffgffvfmpvpmcgfv.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32740*l + 32742*l = -4*q + 28 - 0, -21*q = 4*l + 9 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + n - 115 + 120, -209*i + 209*i - n - 10 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 - -24. Is 28 a factor of 4\/(-6)*30162\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 5. Let u(d) = d**3 + 2*d**2 - d + 6. Let s be u(-3). Let b(h) = s + 3 + 1. Let k(y) = y - 4. Let q be k(6). What is q*v(o) + 3*b(o)?\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -53314 (base 7) in base 10?\nAnswer: -13192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 17, 4 in descending order.\nAnswer: 17, 9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -48, -58, -66, -72, -76?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**2 + 1144*u - 81796 = 0. What is u?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -239 (c) 626\/3 (d) 0.3 (e) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 6. Does 10 divide (-20)\/14*(q - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 15. Let u(d) = 2*d + 8. Let f(h) = -4*g(h) + 7*u(h). Calculate f(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 2 = -2*c - 0, 0 = 2*c - d - 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) -2 (c) 30366\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njnpzty. What is prob of sequence pz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.23 * -0.03.\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 13*v**2 + 87*v + 759. Determine p(-10).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 34*n - 70. What is the least common multiple of 8 and l(7)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 8. Calculate the remainder when n(5) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 50, -n + 175*s = -7*n + 174*s - 3 + 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150.999376 + -151. Round m to 5 dps.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12147081.\nAnswer: 3, 1097, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -68c1 - -b?\nAnswer: -68b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 - c. Let v(m) = 5*m**2 - 4*m. Suppose 0 = -4*o - 3*q + 16, 3*o - 37 = -q + 5*q. What is o*a(f) - 2*v(f)?\nAnswer: 4*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*11\/44)\/(3\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*v + 14 + 1016 - 289 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 30*z - 9*z**3 + 0*z**3 - 24*z + 3*z**5 - 3*z**2 + 3*z**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -358.0326 + 358. Let o = 0.0674 - j. Which is the closest to -0.1? (a) o (b) -8 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -310839 by -3.\nAnswer: 103613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 161019337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.703, 0, -0.115, -0.2, -6, -0.3, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/3252 and -51\/8.\nAnswer: 6504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 4*v - 91. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2804027*y + 766765.\nAnswer: -2804027","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 33 (c) 0.1 (d) -0.4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a - 70. Let m(c) = 907689*c. Calculate j(m(o)).\nAnswer: -1815378*o - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*u = -129 + 537 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*y**3 - 5*y**2 + 35*y wrt y?\nAnswer: -270*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**2 - 576 + 1159 - 583.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*r - 5*j + 5 = 181*r, 3 = 3*j. Solve 0 = 28*a - r*a - 28 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -19*w. Suppose 0*s = 4*h - 2*s - 18, -17 = -h + 3*s. Let f be (-1)\/h*(2\/(-1))\/(-1). Determine p(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**7\/70 + f**6\/5 - 93*f**5\/100 + 11*f**4\/10 + 16*f**3\/5 - 48*f**2\/5 - 192*f. Solve p(t) = 0.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*o + 48, 4*p + 5*o = -0*p - 35. Let k = p + 18. Suppose 19*c - 62*c + 278 = -66. What is the greatest common divisor of k and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56694538 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24025454 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -2\/13 (b) 0 (c) -5\/4 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/5)\/((s\/(s*s\/(s**(2\/3)*s)*s*s)*s)\/s))\/(((s\/(s*s*s\/(s*s\/s**(2\/13))))\/s)\/((s\/s**5*s)\/s))*((s\/s**0)**(-3\/7))**(1\/6) assuming s is positive.\nAnswer: s**(-3779\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*a - 10*a = 27*a - 234 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 + 15*h - 46. Calculate f(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157 + 161. Suppose -y*z + c = -19287, 4*z + 3*c = -0*z + 19275. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/8755 and 46\/5.\nAnswer: 8755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 12:57 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5. Suppose q = t - 7 - 13. Suppose -5*u + t = 0, -3*x + 2*u = 5*u - 42. What is the remainder when 28 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 73 = 1133. Suppose 5*r - l = -5. What is the highest common divisor of 42 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9859 at most 9772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27225.577 and -0.1?\nAnswer: 27225.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**5\/80 + 193*h**4\/16 - 385*h**3\/8 + 424*h**2 + 2*h. Find v such that n(v) = 0.\nAnswer: 1, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.102501528 to four decimal places.\nAnswer: -0.1025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-188)\/(-6)*(((-29754)\/399)\/58)\/((-12)\/14)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*j - 203 = 2324 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**5\/60 + 5*v**4\/24 - 4*v**3\/3 - 4*v**2 + 9. Let c(k) be the second derivative of s(k). Let q = 12 - 18. Give c(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-168)\/(-288) + (-2)\/6. What is the third smallest value in 5, 0.9, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -6. Suppose -24*z + 404 - 524 = 0. Put b, z, -3, 3 in decreasing order.\nAnswer: 3, -3, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1152 + -1040?\nAnswer: -2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 2*n + 10 + (-4*n + 0*n + 3*n)*(1 + 0 - 2) - 5*n - n + 4*n + (-1 - 2*n + 1)*(1 - 1 - 2) + 2*n - n + 0*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -a9 (base 13) to base 3\nAnswer: -12011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -471685095 divided by 63\nAnswer: -7487065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52.3 + -111.1. Let q = p + 58.4. Do q and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33 and 0.36?\nAnswer: 11.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.961 - -0.661. What is the nearest to 6 in 3\/2, -2\/9, -0.5, a?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 1, -136, 25, -152 in decreasing order.\nAnswer: 25, 5, 1, 0, -136, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 4*b = x + 20, -5*x - 4*b - 24 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(2\/5)\/(2\/5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*q - 188*q + 4*l + 68 = 0, -4*q + 5*l = 32 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12630158+-4\nAnswer: 12630154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.2263 (b) 715\/3 (c) 2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**5\/20 + x**4\/8 - 3*x**3 + 8*x**2 + 15*x. Let m(k) be the first derivative of v(k). Factor m(l).\nAnswer: 3*(l - 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13)\/(-364) + 2\/(-7). Let z = 387 - 385. Put z, a, -1\/8 in descending order.\nAnswer: z, -1\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*a + h - 26, 2*a + 5*h = 24. Let j = a + 3. Let u(s) = 2*s**2 + 26*s + 77. Let c be u(-4). What is the greatest common divisor of j and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 5. Let z be y(-3). Let s(x) = -2*x**3 - x**2 - x - 1. Give s(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 4611343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*v = 11, -2*v = l - 8 + 1. What is the greatest common factor of l and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -456 (c) -5\/8 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 + (-2)\/(2\/3). Let o be b\/(28\/8) - -1. Suppose o*f - 52 = r, -4*f - r + 81 = -0*f. List the prime factors of f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - (sqrt(88) - sqrt(88)*2))*4 + sqrt(88) - (sqrt(88) + sqrt(88)*1 + sqrt(88))*-1)*-3)\/(sqrt(392) + 3*sqrt(392) - sqrt(16)\/sqrt(2)*-4).\nAnswer: -9*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13109060 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 2*t**2 + t - 7. Let c be m(-3). Suppose 3 - 1 = 2*l. Suppose j - l = -4. Sort c, j, -5 in increasing order.\nAnswer: -5, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0378181 to 4 dps.\nAnswer: 0.0378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.8 + 6.2. Put 4\/7, -6, q in ascending order.\nAnswer: -6, q, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 2626724?\nAnswer: -3\/1313362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30\/7 - 6\/7*h**2 - 24\/7*h = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -aa6c + 4?\nAnswer: -aa68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 231*p**4*r**2 - 155*p**4 + 2*p**2*r + 6*p*r + 329*r**2 wrt p?\nAnswer: 5544*p*r**2 - 3720*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51766.49l to millilitres.\nAnswer: 51766490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 9. Let i be m(6). Suppose 0 = 5*j + 2*w + 21, -2*w - i = 3*j + 2*w. Put 3, j, -1, -6 in decreasing order.\nAnswer: 3, -1, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37172386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (256\/(-384))\/((4\/18)\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -848*f + 6988*f - 11102*f**2 - 483*f**2 + 792*f wrt f.\nAnswer: -23170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46601262 and 570?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -1058. Let k = w + -1040.3. Let y be -5*(2\/5 - 1). Sort k, -6, y in descending order.\nAnswer: y, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4273*m**4 - 135*m**2 - 1868*m + 187 wrt m.\nAnswer: -51276*m**2 - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 + 9*w + 11. Suppose 3*b + n + 7 = 2*b, -2*b - 3*n = 14. What is the tens digit of i(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.249 - -2.079. Which is the smallest value? (a) l (b) -11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 take away 3.83024?\nAnswer: -30.83024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**2 + 10*j + 2. Let n(a) = 4*a**2 + 9*a + 2. Let g(l) = 2*d(l) - 3*n(l). Let x(y) = -y**2 - 2*y - 1. What is 2*g(p) - 7*x(p)?\nAnswer: -p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-16)*(-86 + 87)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -267*a**3 - 18755*a**2 - 13944854*a.\nAnswer: -1602*a - 37510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1147784785581 + 1147784785581 + 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((483\/(-945))\/(1\/(-12)))\/((-4)\/(-6)) and 10\/(-15) + (-179)\/(-21).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + sqrt(63))**2 - (-5 + sqrt(7) + -1 + sqrt(21)\/sqrt(3)*5).\nAnswer: 12*sqrt(7) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Suppose -v*u = 2 + 7. Which is smaller: -5 or u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 506 or 507?\nAnswer: 506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*a - 7*a - 108*a**3 - 100*a**3 - 83*a + 213*a**3 + 29*a.\nAnswer: 5*a**3 - 102*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*c - 5, 2*x + 0*c - 11 = -3*c. Let h be (3 - 1)*-1*x. Sort h, 0, 1 in decreasing order.\nAnswer: 1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/7, -1, 1392 in increasing order.\nAnswer: -1, 8\/7, 1392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58741?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -15\/13 (b) 0.3 (c) 3\/2 (d) 14\/3 (e) 4 (f) 0.06 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/7 + 11*y**2\/7 + 25*y\/7 + 13\/7.\nAnswer: -(y - 13)*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 140017985 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -1829 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -56.7.\nAnswer: 113.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1564*s - 195*s + 56288 = 0 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 2\/7 (c) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/1156 and -139\/102.\nAnswer: 3468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 - (-9 - -8) - -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4299, -4119, -3609, -2601, -927, 1581, 5091?\nAnswer: 9771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 5. Let t be l(-7). Suppose -25 = -t*p + 29. Calculate the greatest common factor of 24 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, y: 1, d: 3}. Give prob of picking 2 h and 2 d.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {u: 1, p: 2, a: 2, i: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4315747260774 - -0.4.\nAnswer: -0.0315747260774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 30.8. Let n = m + 5.5. Which is the smallest value? (a) 3 (b) n (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-306)\/24*(-8)\/3. Let l(q) = 24*q**3 - q. Calculate the remainder when (0 + 2 - 0)*z is divided by l(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579046303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -49*p + 89. Calculate a(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 5669*g**6\/6 - g**5\/5 + 5*g**2\/2 + 46*g - 2197. Find the second derivative of i(a) wrt a.\nAnswer: 113380*a**3 - 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*q = -11, -6*q + 4 = 3*l - 71. Solve k + l = 5*p, -p - 4*k + 12 = -9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49616*v + 16531*v + 16573*v + 16543*v + 1 - 1.\nAnswer: 31*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1042, 989, 902, 787, 650, 497, 334, 167?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8331047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12504 - 6159 - 6345 + 42*u**3.\nAnswer: 42*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/10)\/(b**(-1\/7)*b)*b\/b**(-2)*b**8\/b assuming b is positive.\nAnswer: b**(661\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z + 2. Let g(m) = -2*m - 3. Let a(b) = 3*g(b) + 4*w(b). Suppose 0 = -0*y - 9*y + 18. List the prime factors of a(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37188419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30 - (-1)\/(3\/(-6)). Suppose 39 = 4*c + 3*w - k, 2*w - 66 = -4*c. Suppose 4*f - 23 = z, f + 4 = -z + c. Solve -8 = -5*x + f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 31*f + 186 - 91 - 95. Let k(u) = -u. Determine k(a(h)).\nAnswer: -31*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/4 (b) -18 (c) -24 (d) 59 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2057)*-1)**2 - sqrt(2057) - sqrt(2057)) + 1 - (1 + sqrt(2057) + 1)) + -3 + (1*(sqrt(51) - 1*sqrt(51)))\/(sqrt(24)\/(sqrt(32)\/sqrt(4)) + sqrt(3)).\nAnswer: -33*sqrt(17) + 2053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -7*g**3\/3 + 7*g**2 + 2. Let u(c) = -c**2 + c. Let f(y) = q(y) - 6*u(y). Find the common denominator of -99\/10 and f(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eexeexbbaxltebeexbx. What is prob of sequence exl?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**3 - 3*s**2 - 19*s + 11. Suppose 0 = 4*t + 20. Let b(u) = -u**3 - u**2 + u - 1. Let j(a) = t*b(a) - p(a). Is 16 a factor of j(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -187.\nAnswer: 1\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - f + 6)*(-1 + 0 - 2)*(-8*f + 19 - 19) as d*f + v*f**2 + g and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + y**2 + 10*y**2 + 0*y - y**4 - 74*y - 10*y**2 + 3 to h*y + j*y**4 + f*y**3 + p*y**2 + w and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2\/9, 1\/3, -2, 1\/8 in decreasing order.\nAnswer: 0.4, 1\/3, 2\/9, 1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 29.41535 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 13*o - 66. Let u be w(17). Is (-1 + 4952\/(-3))*(-6)\/u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2267*d - 3713*d - 41860 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, 5852\/115, 0 in decreasing order.\nAnswer: 5852\/115, 0.09, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**4\/4 + 7*u**3\/3 - 5*u**2\/2 - 3*u + 10. Determine x(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3 = -8, 0 = -4*v + 5*r + 17. Let s = 3 + -1. Suppose 3*t = -s*t + 45. Solve t = 3*y + v*b, 2*y + 3*b + b = 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42353 + -131?\nAnswer: 42222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51034746 and 1104?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v + 19. Let x be d(-8). What are the prime factors of 10\/x + 5 + 79?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -3. Let b(l) = l**3 + 5*l**2 - 5*l + 6. Let z be b(-6). What is the second biggest value in r, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + x + 2*x + (1 + 0 + 1)*(-2*x - 3*x + 4*x) - 2*x + 3 - 3 + (0 + 1 + 1)*(-5*x + 4*x + 3*x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6980400 = -95*u + 11*u. Round u to the nearest one thousand.\nAnswer: -83000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9672 = -134*o - 430*o + 4992 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1124668, -1124953, -1125240, -1125529, -1125820, -1126113?\n\"Answer: -g**2 - 282*g - 1124385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2*l + 4*w = -32, 0 = -4*l - 2*w - 36. Let s be l + 1 + 20\/(-15). Let d = -127\/6 + s. What is the common denominator of d and -113\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/3)\/(2\/3). Let f be (1 + -1)*(-1)\/y. Let i = 3 + f. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*(sqrt(27)\/(sqrt(9) + sqrt(36)*1) + (-4 + -2 + sqrt(3))*-5)**2.\nAnswer: -8400*sqrt(3) + 28960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12464510?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5\/4 - 3*p**4\/4 + 3*p**3\/4 - p**2\/4 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 8 = -2*v. Is v\/(-6) - 8076\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 8. Let o(q) = -4*q**2 + 33. Calculate 4*o(v) - 18*z(v).\nAnswer: 2*v**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10*((-534)\/(-15))\/1.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -1, 1\/4, 4, 0.1, -88211?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttoooooooooooototo. Give prob of picking 3 o.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 26*l - 7980. Calculate v(71).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1389\/(-1852) + -15*389*1\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1801 in 8, 3\/4, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**2 - 185\/4*s**4 - s + 5 - 1\/3*s**3. Is c(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-4))\/((-5)\/(-10)). Let w(p) = p**3 - p**2 - 12*p + 5. Let y be w(4). Put 1, k, y in decreasing order.\nAnswer: y, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*c**3 + 0*c**3 + 8*c**3)*(96 + 539*c - 46 - 48)*(-1 + 2 + 1).\nAnswer: 26950*c**4 + 100*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 4*h**2 - 2*h + 1. Let t be o(2). Suppose w = -z - 2, -6 - 2 = -t*z + 4*w. Solve 2*g + 5*a + 1 + 9 = z, -5*a = -3*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1148029541 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 14*y - 11013. What is q(112)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -140091, -140004, -139859, -139656?\n\"Answer: 29*c**2 - 140120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 14*g + 32. Let h(n) = -n**3 - 4*n**2 - 2*n - 6. What is h(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exeedaaxedea. What is prob of sequence axx?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 0)\/(6 - (11 - 6)). Suppose i*u - 18 = 9*u. Let b be (-8448)\/(-36) - u\/6. Round b to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75843*z**2\/5 - 4697496*z\/5 + 72737328\/5.\nAnswer: 3*(159*z - 4924)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 733635 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11230 (b) -14\/25 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4211442 - -5?\nAnswer: -4211433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 - a**3 - 5*a**3)*(5*a**2 - a**2 - 6*a**2) + a**5 + 5*a**5 - a**5.\nAnswer: 15*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**4\/12 - o**3\/6 + o**2. Let i be 50\/(-1075) - 762\/258. What is n(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 76 - 78. Calculate the least common multiple of 2 and (8 - -73 - 3) + j.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 9*q**2 + 50*q + 28. Give z(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1778765469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -53 * 13\nAnswer: -689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2 + 2 - a**2 - 1. Let l(q) = -5*q**2 + q - 8. Let v(o) = -l(o) + 6*y(o). Determine f, given that v(f) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9610650 a multiple of 1350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6270 divided by 3.\nAnswer: 2090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3883*o = 3885*o - 102, -4*n + 202 = 2*o. Calculate the lowest common multiple of n and 4505.\nAnswer: 45050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 50699 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 22. Suppose -i = -3*i - 4*o + 658, o = l*i - 643. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5546, 23, 4, -3, 0 in decreasing order.\nAnswer: 5546, 23, 4, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0*l + 6. Let n be 5*(12\/(-15) - l). Let b be (n\/(-4))\/7*10. Solve b*y + 2 = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)*g**2)**(-24\/7) assuming g is positive.\nAnswer: g**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/18)\/((21\/60)\/(5402\/13505)).\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1428 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 334680 (base 14) to base 15\nAnswer: 245ca9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**5 - 2*i**5 - 2*i**5)*(-2 - 1 + 4 + (0 + 0 + 2)*(7522 - 13468 + 6661)).\nAnswer: -2862*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**3 - 50*g**2 + 23*g + 1. Let y be (-10)\/3*(-8 - (-10)\/(-75)*-33). What is z(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 25*q + 16. Let k be j(26). Suppose -k = 109*n - 116*n. Solve -6 = 2*t - y, t + 2*y - n = -4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87364 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3442130100 to the nearest 1000000.\nAnswer: -3442000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1435)\/(-205) - 24809\/3503 - (6 - (-188)\/(-31))?\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 1 + 25. Let y be 4\/l - (-10)\/6. Suppose -y*p - 2*p = -24. Calculate the smallest common multiple of p and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2. Let g(q) = -5*q**2 - 4*q + 764. Determine g(v(o)).\nAnswer: -5*o**4 + 4*o**2 + 764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 8) + 9 - (5 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 11 in descending order.\nAnswer: 11, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 280 = 2*i, -2*i = 2*x - 18 - 246. Suppose -5*o + o = 5*f - i, 4*o + 2*f - 148 = 0. What is the remainder when 115 is divided by o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1526 and -15\/10682?\nAnswer: 10682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 - 51.2. Let x = 0.1 + -0.4. Sort y, x, 1\/11 in decreasing order.\nAnswer: 1\/11, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16974 - -24290. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(2057) - 4*sqrt(2057)) + 0))**2.\nAnswer: 18513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-9 - -8 - (-5 + (-3 - -6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9003127 and 121849.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 106605?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10762*p + 10763*p - 1456*r - 1450, 4*p - 5*r + 19 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18 - (-23 + -7)\/(-10). Sort -5, u, -2, 3.\nAnswer: -5, -2, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -464 + 257. Let g = -206 - k. What is the nearest to 0 in -8, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/60*8\/((-24)\/477)*5?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6598*u + 118762. Give a(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -425409\/8 + 53366. Let v = 190 - i. Factor -1\/2*t - v*t**2 + 0.\nAnswer: -t*(t + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/21*(-1)\/3\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1 = 3. Let o = 0.13 - 5.13. Let i = -0.34 - -0.04. What is the closest to i in u, o, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5221757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 33*j + 110. Calculate m(-29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, q: 1, d: 2, k: 1}. Give prob of sequence kkxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-7))\/(12\/42)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(2 + (-1)\/(-2)). Let h be t - (0 + 3 - 2). Let m(c) = -5*c - 10. Let a be m(-11). Calculate the highest common divisor of a and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2083.4 and -0.1.\nAnswer: 2083.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**0))**16*(z**(-4\/9)\/z)\/(((z*z**5*z*z)\/z)\/z*z))\/((z\/z**1)**11*(z\/z**0)**(-11\/6)) assuming z is positive.\nAnswer: z**(-119\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 5*u + 3. Suppose 2*h - 1 = 9. Let a be j(h). Solve 16 = l + a*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -980\/3 + 326. What is the biggest value in -8, 23, z?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -659, -4945, -16459, -38813, -75619, -130489, -207035, -308869?\nAnswer: -439603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/sqrt(63)*-5)\/(sqrt(20)\/(sqrt(4) + sqrt(16)*-4)).\nAnswer: 35*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17702571 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -35*w**2 + 17*w - 12. What is h(1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 8:54 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16605)\/(-6) - ((-21)\/(-6) + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1122403 (base 5) to base 7\nAnswer: 113224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -1 + 2 + -23. Let b = 117 + g. Is 148\/1*b\/56 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/17)\/((-130)\/(-1105))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000612511 rounded to six decimal places?\nAnswer: -0.000613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2. Let h(i) be the second derivative of -4*i**4\/3 - i**2\/2 + 53*i + 4. Calculate h(t(m)).\nAnswer: -64*m**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 = -2*c, -3*c - 275*g - 8 = -280*g. Let o(a) = a - 1. Let h(l) = -5*l + 12. Give c*h(u) - 3*o(u).\nAnswer: 2*u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 117422376 a multiple of 2004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 604*w - 27782. What is a(46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 - (119 - 132) - 45?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d**3 + 2*d**2 + 8*d. Let k(r) = 7*r**3 + 2*r**2 + 5*r - r**3 + 2*r. Let n(o) = 6*k(o) - 5*y(o). Give n(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 178 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = 4. List the prime factors of -2*((-11)\/m + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 91*l - 10. Let h(k) = 189*k - 18. What is -2*h(d) + 5*w(d)?\nAnswer: 77*d - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/((-168)\/(-378))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -9, 16, 65, 144, 259, 416?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 779\/3 + -262. Is -3 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 128*n - 186. Determine d(1).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3380\/18113 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -2*g**3\/3 - 7*g**2\/2 - g + 41. Calculate p(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 27*g + 17. Let z be k(27). Suppose -10*t + 47 - z = 0. Solve t*n - 8*n + 5 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -232, -237, -246, -259, -276, -297?\n\"Answer: -2*m**2 + m - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 10. Let r(s) = 5*s + 177. Let k be r(-36). Put k, 2, a in ascending order.\nAnswer: a, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 8 - 4, -5*n - 4*f + 217 = 0. Let g(k) = -n*k + 41*k + k**2 + k**2. Let o(j) be the third derivative of -j**4\/24 - 3*j**2. Give o(g(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 167520043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3 + 6. Is -1 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 210740*l**2 - 217270 wrt l.\nAnswer: 421480*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578780.\nAnswer: 2, 5, 43, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*b + 5 + 44*b - 5.\nAnswer: 139*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 168 + -9. Let f = -141 + b. Solve -3*p = y - 3, -p + 4*p = 4*y + f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.38 - -725949.4\nAnswer: 725949.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n. Let q be 2*(-9)\/117 - (-15)\/13. Let d(i) = q - 303*i**2 + 299*i**2 - 1. Calculate p(d(m)).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(2448*2)\/(-8) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3 - 120845*o**2 + 38019277*o - 2986448191 = 0. What is o?\nAnswer: -121159, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5722, 11465, 17208?\n\"Answer: 5743*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 0*z**3 + z**3 + 346*z**2 - 21*z**3 - 2*z + 1 - 344*z**2. Let p be 2 + (-24)\/16*2\/3. What is h(p)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*374\/(-119)*-42?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -30. Suppose -4*j = -2*j - k. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -79? (a) 2\/7 (b) -2 (c) -2.9 (d) 0.1 (e) -0.4 (f) -136\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by -628561\nAnswer: -39\/628561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 4. Let d be v(-6). Let w = d + 15. Solve u + m + 5 = -u, 4*u + 3*m = -w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-187)\/(-102) + 1\/(-3). Let z(w) be the second derivative of w**3\/3 - 3*w**2\/2 - 6*w. Let i be z(3). Which is smaller: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -6*m - 1, 8*m + j - 83 = 70 - 138 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a second in milliseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrororrrororror. Give prob of picking 3 o.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/19, -2, -0.03, 0.9.\nAnswer: -2, -1\/19, -0.03, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 h when three letters picked without replacement from hjjhjj?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Suppose 0 = -3*v - 3*f - 6, f = -h*v + 5*f + 8. Let i(s) = s**3 + s**2 - 3*s - 3. Let b be i(-2). Put -2, v, b in increasing order.\nAnswer: -2, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*s**3 - 233927*c**3*s*y + 5*c**2*s*y - 192*c**2 + s**3*y - 165*s**3 wrt c?\nAnswer: 6*s**3 - 1403562*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31313221.\nAnswer: 31313221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-245)\/34*2\/60. Let z = -1\/102 + w. Let n = 358 - 358. Sort n, z, 1 in increasing order.\nAnswer: z, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1698\/84334*(-2)\/3.\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1574 and 36.\nAnswer: 28332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3 and -0.258?\nAnswer: -0.3354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5004243 + 3707912. Let a = 387845 + j. Round a to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102290119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*o + 3*x, -5*o = -0*o + 3*x + 14. Which is the closest to o? (a) 1\/2 (b) 0.1 (c) -8 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**19\/(q\/(q\/q**(-2\/23)))*q**(1\/10)\/(q*q**(4\/9)))**(1\/70) assuming q is positive.\nAnswer: q**(36727\/144900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -34c (base 13) to base 15\nAnswer: -281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466*q - 464*q + 3*o - 22 = 0, 3*o - 2 = 2*q. Sort -14, 3, q, -82 in increasing order.\nAnswer: -82, -14, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2. Let m = -2.3 - -1.3. What is the closest to m in -0.02, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1927\/31 or 61?\nAnswer: 1927\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from aoaaraaaaaanaaara?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1009*g - 1079*g - 1400 = 0 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 54*x - 1639 = -1876 + 1689 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 265*s**2 - 4924*s - 1238994. Give x(-266).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -297.184382 + -0.023618. Round u to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49752 - 49746.6. Put -0.3, -0.5, p, 2, -1 in ascending order.\nAnswer: -1, -0.5, -0.3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u + 2*y + 2, 2*u + 33 = 5*y. Let l be 1\/(-4) + (-25)\/u. Calculate the remainder when 26\/l - 2\/(-3) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*d + 64 = 0, -2*i + 52 = -0*i - 3*d. Calculate the remainder when i is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 8. Let o = 7 - v. Suppose 0 = o*z - 42 - 8. Calculate the lowest common multiple of 7 and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7323848 and 448.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3026 at most as big as -3027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.38 - -0.68. Let h = x - -4. Round h to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*s - 16*s - 10*s**2 + 10 - 16*s wrt s?\nAnswer: -20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 + -11 + (-4)\/(-14). Which is the third biggest value? (a) -1 (b) j (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -111, -106, -101, -96, -91, -86?\n\"Answer: 5*c - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/25 and 61\/3408520.\nAnswer: 17042600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 n when three letters picked without replacement from {t: 3, n: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6513600 and 387984?\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffftxftk. What is prob of sequence xt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/245 - -516\/3185. Let i = -0.6 - -0.3. Let j(f) = -f + 17. Let k be j(16). Sort i, p, k in decreasing order.\nAnswer: k, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-1))\/(2\/(-12)*-3). Let r(f) = 3*f**3 + 30*f**2 + f + 13. Let s be r(i). Suppose 5 + 5*z**4 + 3794*z**3 - 10*z**2 - 3794*z**s = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3873971, 3874060, 3874209, 3874418, 3874687?\n\"Answer: 30*x**2 - x + 3873942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349086 is divided by 629.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10278 is divided by 194.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26432980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.13 and 2.\nAnswer: 7.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 3060.69?\nAnswer: 3055.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 5:02 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9177025 litres to millilitres.\nAnswer: 917.7025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -374, -557, -738, -917, -1094, -1269?\nAnswer: -1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 - -76. Let o = i - 26. What is the second smallest value in -1\/8, -5, 3, o?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 10*r**2 + 3*r + 2. Let o(d) = d**3 + 10*d**2 + 2*d + 1. Let s(c) = -4*o(c) + 5*z(c). Is s(-9) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x + 5*u + 95, 4*u = 5*x - 180. Suppose 0 = 5*y + 2*v - x, 2*y - 3*v + 7*v = 32. What is the least common multiple of 220 and y?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*z - 34, 3*x = -2*z + z + 3. Let t be (-52)\/39*z\/(-2). Solve 3*n = n + t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -15*z**3 - 25*z**2 + 50*z - 11. Determine g(2).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -79395, -158878, -238467, -318168, -397987, -477930, -558003, -638212?\n\"Answer: -i**3 - 47*i**2 - 79335*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4234 is divided by 529.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-8)\/(-28))\/((-6)\/86) and 7\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 q when three letters picked without replacement from {v: 1, d: 1, c: 4, q: 1, t: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1005 = 23*x - 4*g, -5*x + 1031 - 1250 = -g for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 2*p + 4. Let q(c) = c**3 + 2*c**2 - 6*c - 5. Let m be q(-4). Let s = -7 - m. Let i be f(s). Round i to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 0*j = 46*m - 49, -691*m + 5*j = -689*m - 17 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*f**2*p**5 + 57*f**2*p**3 - 7*f**2*p**2 + 2*f**2*p + 173*f**2 wrt p?\nAnswer: 3180*f**2*p**2 + 342*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1704, -1816, -1928, -2040, -2152, -2264?\n\"Answer: -112*n - 1592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**7\/105 - 39*q**6\/10 + 13921*q**5\/30 - 2262*q**4 + 13456*q**3\/3 - 3445*q**2. Determine i, given that j(i) = 0.\nAnswer: 1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-25)\/j**(2\/61))**(8\/11) assuming j is positive.\nAnswer: j**(-12216\/671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/5, -0.9, 1 in descending order.\nAnswer: 1, 2\/5, -0.4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78\/7156771 or 1?\nAnswer: -78\/7156771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 6. Let p be f(6). Solve 3*q - q + 4*v + 6 = 0, q - 2*v - 1 = p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16665 - 3550?\nAnswer: -23545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 9935349300 to the nearest 1000000.\nAnswer: 9935000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8*(4 - (6 - 4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1216, -2155, -3098, -4045, -4996?\nAnswer: -5951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78876)\/2504*-3*-2*(-12)\/(-27)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 181.\nAnswer: 39\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**8\/x)\/((x\/(x\/(x\/x**7*x)))\/x) assuming x is positive.\nAnswer: x**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sujuezm. Give prob of sequence zj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169f (base 16) to base 9.\nAnswer: 7844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 38*l**2 - 153*l - 59. Does 3 divide j(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c - 2. Suppose 3*d + 0*d - 30 = 0. Let s be 3\/6*d + -2. Let q be x(s). Solve 3*j - q = 2*h, -5*h + j = -0*j - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(2) + sqrt(200)*1))\/(sqrt(16)\/(sqrt(8) - (sqrt(56)\/sqrt(7) - sqrt(8)))*1).\nAnswer: sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + 0. Suppose -16 - q = -5*l. Suppose n + 0*n + 3*i = l, -5*n - 7 = i. Calculate the common denominator of 91\/6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3.3. Let d be (-5)\/(-9) - (-3)\/(-9). Which is the nearest to 1\/3? (a) 4 (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 657\/13 - 97841\/1937. Let n = -246\/1937 - l. Which is the closest to 2\/7? (a) 1 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -610306.1 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, a: 3, c: 1, v: 6, z: 1, h: 1}. Give prob of sequence cca.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x + 28*x = -41*x + 396. Suppose 0 = 4*j - 24. Suppose 3*m + 17 = j*m + s, -4*m + 5*s = x. Solve 3*b + 15 = 0, -m*y - 2*b + 5*b = 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -12257 at most -12257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 2*i**2 + 3*i - 4. Let h be v(-3). Let n be (-4)\/(3 - h - 0). Let a = -10 - -9.9. What is the nearest to a in -1, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-77)\/33)\/((-3)\/(-6)*(-1)\/(-3))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 559 - 455. Let q = m - 849. Is -1 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -88, -113, -140, -169, -200?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*v = -2*d + 76, -4*d + v + 74 = 0. Suppose 0*a = -u + a + d, -5*u - 4*a = -63. Let m = -9 + u. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(612) + (sqrt(612)*2)**2*6.\nAnswer: 6*sqrt(17) + 14683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, n: 2, l: 1, j: 1, i: 1, b: 1}. What is prob of sequence bx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20722787 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248590 is divided by 260?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*w**4 - 3\/4*w + 3\/4*w**3 + 3\/2 - 9\/4*w**2.\nAnswer: 3*(w - 1)**2*(w + 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = -m - 7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*u - 2*u. Let i(m) = 5*m**2 + 54*m - 8. Let v be i(-11). Solve v*n + u = -0*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -49\/30*d**4 + 7*d - 1\/75*d**6 + 0*d**3 - 7\/25*d**5 + 0 + 0*d**2. Factor x(h).\nAnswer: -2*h**2*(h + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 2, w: 7, i: 4}. Give prob of picking 1 i and 1 b.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12254888 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*j = -1853*j + 51040 + 24035 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2628)\/(-346750)*5\/(-1) - 3\/25?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -14*a - 14*a - 14 - 2 + a**2. Let n be h(14). Which is smaller: n or 3\/13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/3 + 5*o**2\/3 + o\/3 - 5\/3 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**4 - 12*j**3 + 2754*j**2 + 1703*j - 2755*j**2 + 11*j wrt j?\nAnswer: -36*j**2 - 72*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -146*r**2 + 77*r**2 + 2 - 94*r**2 + 25*r**2 - 142*r**2 in the form s*r + i + z*r**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2464712 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x - 5*t + 149550 = -6*x, 3*t + 89700 = 3*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 9:02 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -113. Let s = o - -116.7. What is s rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 595719218?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 2*z. Suppose -2 = -q - a - 2*a, 3*q = -z*a + 12. Suppose q*h - 4*v = 2817, 5*h - v = -109 + 2932. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.9 - -7.93. Let h = s - 0.23. Let i = h - 0.6. Which is the third biggest value? (a) i (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by -12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3444\/1890 + (-10)\/45. What is the closest to -1 in 0.01, 0.2, 2, h?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226 + 79 = 21*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 176804662 to the nearest one hundred thousand.\nAnswer: 176800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 1656.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 4*f + 2. Let x be m(-3). Let q = 6 + -7. Let z = 0 - q. Which is the third biggest value? (a) z (b) -1\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21111010 (base 4) in base 11?\nAnswer: 26789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -17*d**2 - 3*d + 1. Let o(j) = 33*j**2 + 6*j - 2. Give 3*o(n) + 5*t(n).\nAnswer: 14*n**2 + 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (36*p - 24*p + 36*p - 3)*(-28*p - 53*p + 45*p) in the form u + t*p**2 + j*p and give t.\nAnswer: -1728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6143*n**6*v + 16*n**2*v - 396*n**2 + n*v wrt n?\nAnswer: -737160*n**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/7 - 32\/14. Let z(u) = 2*u**2 - u - 1. What is z(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*1 + (-732)\/108. Let d = -332\/45 - m. Which is the biggest value? (a) -5 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 620*b**3 - 620*b**3 - 27*b**5 - 24*b**3 + 10*b**5 + 24*b**3 + (-b**5 + b**4 - b**4)*(3 + 1 - 2).\nAnswer: -19*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*t + 4122, -503*t + 2068 = h - 508*t. Is 147 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*8\/(-12)*3. Let v be 5 - (4\/j + -1). Determine g so that 6\/11*g**v + 0*g + 2\/11*g**2 + 2\/11*g**5 + 6\/11*g**3 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5498606?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h - 1. Let v be l(2). Suppose q - 1 = -v. Calculate the remainder when 8 is divided by 10*(1\/q)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1329 in 3, 14, 4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w + 4. Suppose -2*z = -2*j - 6, j + 4*j + 33 = -4*z. Let b(k) = 5*k - 6. Let p(l) = z*b(l) - 3*u(l). Let g(r) = 127*r**2. Determine g(p(n)).\nAnswer: 508*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 + -132.4956\nAnswer: -134.0956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16.4 and 0.151349.\nAnswer: -2.4821236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = w + 71, 5*w = -6 + 21. Calculate the remainder when b is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 rounded to the nearest integer?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 14. Let i be 2\/4 + 21\/o. Find the third derivative of -i*g**3 - 3*g**2 + 7*g**2 + 7*g**3 wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17800797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296009895 is divided by 5788?\nAnswer: 5787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 437529 from 4.39.\nAnswer: -437524.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 10 = 0, 3*m - 6*t = -3*t + 18. Let a(z) = 13*z**3 + 2*z**2 - 1. Calculate the remainder when a(1) is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -2\/236256447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1392*c**3*q*t - 2*c**3*q + c**2*q*t + 2*c**2 + 24*c*q - 125*q*t - 483*q - 2 wrt t.\nAnswer: -1392*c**3*q + c**2*q - 125*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2312\/85)\/17*6535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10670 and 182380.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -413?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 7. Let t be y(7). Suppose -s - 3*i + 5 = t, -2*s + 3 = -3*s + 5*i. Suppose 5*z - s*u = 43 + 48, -105 = -5*z - 5*u. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 - 1 + 1 + (-30 + 30 - 6*v)*(1 - 1 + v).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c*j**3 + 1251*c*j - 2*c - 6040*j**3 wrt c?\nAnswer: 2*j**3 + 1251*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -3)\/(-2) - -2. What is the remainder when 104 is divided by (17 - (48\/(-3))\/h) + -3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + h + 204, -4*t + 1482932 = h + 1482653 for t.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 2:34 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61682210 and 430.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.035 + -3.865. Let w = z - -2.2. Let f = -2 - w. What is the second smallest value in f, 0, 3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12185*r + 121 = -12197*r - 107 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 (base 10) in base 15?\nAnswer: -ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 3:11 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0*v**3 + 1\/20*v**5 + 0 + v**2 + 0*v + 0*v**7 + 0*v**4 + 0*v**6 - 1\/168*v**8. Find the third derivative of z(i) wrt i.\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-15))\/(24\/(-36)). What is the smallest value in 0.2, v, 1\/4, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 14) in base 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 630 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12*1\/5*30\/(-4). Let m be 49\/21*g\/(-21). Solve -3*u + m*p = -4, u + 2*u - 3 = 3*p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 - 200\/32)*(-84)\/(-9). What is the second biggest value in 3, 1, d, -1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -96894 less than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190062.11*-2.\nAnswer: 380124.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 q when three letters picked without replacement from qycmy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*w + 6 = 4*w, -y - 3*w = 5. Suppose -2*k + y*s = 2*s - 2, 5*s - 10 = 0. What is the third derivative of k*x**2 + 0*x**2 - 6*x**2 + 4*x**6 wrt x?\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a hour in seconds?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -23, -31, -39?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 (base 4) in base 2?\nAnswer: 111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 522842, 1045629, 1568416, 2091203?\n\"Answer: 522787*x + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715 + 1063 = -108*s - 706 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 499 = -d - 2035, 768 = 2*z - 2*d. What is the least common multiple of 128 and z?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 161 + -114. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -273*y + 1913. Let p be l(7). Solve 5*g = 6*j - 8*j - 25, -10 = p*g + 3*j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*86\/86?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 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: Suppose 5*l + g = 6*g + 540, -453 = -4*l - 3*g. Suppose -3*b + l = 3*t, 5*b = 4*t + t + 135. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b = -37*b + 1812. Suppose 3*r - 733 = -a, 2*r = 2*a + 25 + b. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (sqrt(200) - (sqrt(200) + -1)*-4))*2 + -3 - (2*sqrt(20)*-1)\/(sqrt(1440)*1).\nAnswer: -11 + 721*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8*w = 25. Let j = -44528\/155897 + -2\/22271. Which is the fourth smallest value? (a) 25 (b) -4 (c) j (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -29*l - 73 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 582915, 1165739, 1748563, 2331387?\n\"Answer: 582824*b + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*y**2 + 108 - 54 - 3*y**2 wrt y?\nAnswer: -20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 3*k. Suppose 0 = -105*v - 123 - 87. What is u(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 55092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.121 + 2.9. Let r = 3.779 - u. Sort 3, r, 0, 0.5.\nAnswer: 0, 0.5, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.474 + 0.164. Sort -0.2, -3\/2, 0.1, f in descending order.\nAnswer: 0.1, -0.2, f, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1076 = 4*u, -k + 2*k - u - 1066 = 0. Let w be ((-34)\/(-30))\/(2\/k). Let m = w - 27559\/45. Find the common denominator of m and -9\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*2.5.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8180 - -8179.99999961736. Round r to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-11))\/((-31)\/341) + (4162255 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 + -0.07. Sort g, -0.3, -1\/3.\nAnswer: -1\/3, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 28 = -a, 3*a = 2*r + 3*r + 52. Suppose 3*t - 5*t + 48 = 0. Is t < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 58\/5, 191, 4?\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + 4. Suppose -o - 3*o + z = 0. Solve -i - 25 = o*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1. Let f(h) = 8*h**2 + 3*h - 5. Give f(z) - 2*i(z).\nAnswer: 8*z**2 + 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6855472 and 69?\nAnswer: 20566416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h + 2*n = -36, n = -3*h + 34. Let w = -117 + -42. Let x = 208 + w. Calculate the remainder when x is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**6\/g)\/g)\/g**1)**(7\/4) assuming g is positive.\nAnswer: g**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f**5 + 196899*f**4\/2 - 4006341*f**3\/2 + 3612687*f**2 = 0 for f.\nAnswer: 0, 2, 221\/12, 5449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -206, -196?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62605 divided by -19.\nAnswer: -3295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/13 - 264*c\/13.\nAnswer: -2*c*(c + 132)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, -3, 40, 0.06?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188)*2 + (sqrt(3300) - (sqrt(3300) + -1*sqrt(3300))))\/((sqrt(66) + sqrt(66)*-2 - sqrt(66))\/sqrt(6) - sqrt(176)*-4).\nAnswer: 11*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 at most -0.39836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.6 - 0.7. Let i = 1.9 - a. Which is smaller: i or 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**2 - 267*m - 3534. Determine o(-16).\nAnswer: 1762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 32. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152072 divided by 4\nAnswer: 38018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6}. Give prob of picking 3 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 20 (c) -4 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(-94 + 184*w - 101 + 191) to q*w + n and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21175951921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**2*u**3 + 6*o**2*u**2*y - 4*o**2*u*y**2 - 22369*o*u**3*y**3 + 8*o*u**2*y**2 + 5*o*u**2*y - 7*u**2*y**2 + 2*y**3 wrt u?\nAnswer: 6*o**2 - 134214*o*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4*k = -31, 4*d + k - 8 = -24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 4*l + 142 - 109, 0 = -4*l - 7*u - 43 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004065404868 rounded to seven dps?\nAnswer: -0.0004065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780539 to the power of 1\/2, to the nearest integer?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 206 (b) 0 (c) 5 (d) -14 (e) -6 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 164 = -176. Let u be 0*(-8 + d + 7 + 1). Suppose -8\/5*z + u + 2\/5*z**2 = 0. What is z?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 70*n**2 - 7*n - 13. Let b(v) = v**2 - v - 2. Calculate -14*b(o) + 2*h(o).\nAnswer: 126*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*f - 38 + 534 = 0. Let u = -8 - -10. Suppose -u*i - 2 + 24 = 0. What is the remainder when i is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.13 - 1.57. Let z = l + 3.9. Let b = 2 - z. Do 2\/9 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3902123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m**2. Let r(f) = 172*f**2. Give r(y(a)).\nAnswer: 8428*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4015776 divided by 34032\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 387500 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2 = -2*n, -2*x = 6*n - 3*n + 3. Let a be 1 + n + 2\/12. Which is greater: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 18*h**2 - 13*h + 5. Determine d(-17).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l - 3 = 16*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**2 + a + 2. Let q be x(4). Let m = -72 - q. List the prime factors of -3*1\/m*-62.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2002, 7933, 17818, 31657?\nAnswer: 49450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370249 is divided by 39.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 + -73. Let c = -27 + b. Suppose 0 = c*j - 35 + 7. Let o(g) = -2*g + 4. Determine o(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**3*h*q*x**2 + 10*g**3*h*x - g**3*x**3 + 2*g**2*h*q*x - g**2*h*x**3 - 2*g**2*q + 48*h*q*x**3 + q*x**3 wrt g?\nAnswer: 18*h*q*x**2 + 60*h*x - 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-20)*16\/18?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**3 - 1355*i**2 + 12710*i + 30800 = 0.\nAnswer: -280, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2023633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -44\/9, 2?\nAnswer: -44\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7488 and 267566?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/(r\/(r*r**4\/r*r)*r))*r*r*(r*r\/r**(-12))\/r*r**(-1\/14)*r*r\/((r\/((r*r**(-2\/29)\/r*r)\/r))\/r) assuming r is positive.\nAnswer: r**(5627\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r**(2\/13))\/(r**(1\/3)\/r**(-6)) assuming r is positive.\nAnswer: r**(-214\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -9. Suppose -8 = -g*n - 30. Let o = 11 + n. Solve o = y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12640 + 11789. Sort -1, -3, y, 3 in decreasing order.\nAnswer: 3, -1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 18 = 18. Let y be (36\/10)\/((-9)\/(-30) - j). Let t be (y\/8)\/(15\/160). Solve 5*i = -1 + t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2143657 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 15*p**2 - 32*p - 40. Determine m(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.099\nAnswer: -0.0297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 17 = -0*z - 3*z, -4*r = 4*z - 16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.01 + 2.075. Let t = m - -0.035. Let k be ((-7)\/(49\/(-6)))\/(-4). Sort t, 0.3, k in ascending order.\nAnswer: k, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 6*v**2 - v + 5. Let h be a(-4). What are the prime factors of (-3)\/(-2) + h\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1057*a + 1519 = -1050*a. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 6*a**2 + 4*a + 5. List the prime factors of x(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12*14\/(-462))\/((-6)\/759)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 438*u - 443*u + 5365. Calculate the remainder when u is divided by 54.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.6 - -14. Let l = -60\/239 + 1138\/2629. What is the third smallest value in l, 2, y, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/4 - 3)*-2. Suppose -5*g + s + 14 = -3, 3*g + d = 5*s. Calculate the remainder when 42 is divided by 3 + 8*g\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, -2, -13, 1 in decreasing order.\nAnswer: 2, 1, -2, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 + 0.038. Let z = k + -15.818. Round z to 0 dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 68893604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 40, 4 in increasing order.\nAnswer: -4, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0913 + 16.\nAnswer: 16.0913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2824*v**4 + 548*v**2 + 4*v + 27294058?\nAnswer: -11296*v**3 + 1096*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30071*g**4 + 3*g**2 + g + 187 wrt g?\nAnswer: -721704*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2684267957?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1484\/(-4) + (-2 - -2). Let d = s + 539. What is the least common multiple of 27 and (d\/6 + 1 + -5)\/2?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*j = 0, 0 = -2*o + 6*o + 5*j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*s = 593 + 6323 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 215*k**3*l**6 + k**3*l**3 + 5*k**3*l**2 - 132*k*l**2 wrt l.\nAnswer: 25800*k**3*l**3 + 6*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 2. Let a(p) = p**3 - 4*p**2 + 3*p - 2. Let z be a(3). Let g be l(z). Suppose -3*c = c + 4*j - 8, g*c = -j + 20. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4)*-2)\/(2 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 + 7. What is the remainder when 2667*1308\/(-2180)*(-5)\/9 is divided by a?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 8*v**2 + 4*v**2 - 8*v**2. Let g(i) = -8*i**2. What is r(g(h))?\nAnswer: 256*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -43928.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 + 46*j**3 - 86*j**2 + 42*j.\nAnswer: -2*j*(j - 21)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17469 is divided by 277.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -26.11. Let l = j - -1.89. Let y = 8 + -13. What is the third smallest value in l, y, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = 1. Suppose x*k = 4*y - 23 - 11, 5*y = -k + 32. Find the third derivative of y*j + j**2 - 2*j**4 - 7*j wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/15*(-3)\/(-6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c*u**2 - 2*c*w + 30*u**3*w - 4*u*w**3 + 2*u + 2*w**3 + 54*w**2 wrt u.\nAnswer: 6*c*u + 90*u**2*w - 4*w**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from {l: 5, d: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 923 - 929 = -2*d + 5*i, -5*d + 4*i - 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 10*r)*(4*r + 5*r + 0*r)*(0 + 3 - 4).\nAnswer: -90*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = w + 9. Let b = w - -26. Let g = -6 + b. Solve v = g*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -34*f. Let m(s) = -s**2 - 223865. Calculate b(m(u)).\nAnswer: 34*u**2 + 7611410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*v - 5*k, -k - 527 + 555 = 2*v. Solve -v*l + 75 = -28*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211 - -10334353?\nAnswer: 10335004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -93, 7, -0.09, 0.2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - ((-208)\/4 + -3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*d + 13, 3*d - 21 = -0*d + 3*b. Suppose -15 = d*y - y. Sort 3, y, -2.\nAnswer: y, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(4199\/51)*-65.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*l = 130*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**2 + 18*y + 0*y**2 + 27*y**3 - 2*y**2 wrt y.\nAnswer: 162*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -178 + 177. What is the smallest value in 3\/8, v, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-8)\/6*-3. Let q = -0.04965 + 0.44965. What is the smallest value in -6\/7, q, l, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8018 (base 16) to base 5.\nAnswer: 2022132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/9)*j*j)\/j)**(-3\/4))**30 assuming j is positive.\nAnswer: j**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 7*y + 11 = -6*y, -2*y + 14 = -4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 - 4*k - 2. Let y(x) = -7*x**2 + 8*x + 5. Let g(w) = -5*l(w) - 3*y(w). Give g(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 6:58 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - v**2 - v**2 - 19.\nAnswer: -2*v**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -45. Suppose 0 = 2*l + 2*l + 2*a - 598, -446 = -3*l - a. Suppose l = 7*f - 0*f. Calculate the remainder when f is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 less than or equal to -508\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17.82 - 17.92. What is the biggest value in a, -26, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9 + (800\/36)\/(-10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -11*s**6\/30 + 5*s**3\/2 - 50*s + 2. Let c(o) be the first derivative of a(o). Find the second derivative of c(l) wrt l.\nAnswer: -132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*(sqrt(1700) - (-3 + sqrt(1700)))**2 + ((sqrt(1700) + 2)*4)**2 + 3)*-4.\nAnswer: -108880 - 2560*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -302*j - 2438. Give s(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)\/(j**7*j*j))\/(j*j**3)**(-46) assuming j is positive.\nAnswer: j**173","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5.4 * -395.76\nAnswer: -2137.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4526776.\nAnswer: 2, 379, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 73211, 148151, 223091?\n\"Answer: 74940*w - 1729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 572, -5.\nAnswer: -5, 4, 572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(576) - sqrt(576))\/(-3*sqrt(8)) + 0 + ((-4*sqrt(256))\/sqrt(8) - (sqrt(192)*-2)\/sqrt(6))**2.\nAnswer: -2*sqrt(2) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50180601?\nAnswer: 3, 16726867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**5\/20 - p**4\/2 - 7*p**3\/6 - 7*p**2 - 1938*p. Give n(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 420402205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3 - 8*b**2 + 8*b + 32 = 0. What is b?\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -424 and -546503.300204?\nAnswer: 546079.300204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 5, 3, -5, 0 in ascending order.\nAnswer: -19, -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 6. Let q = n - 4.6. What is the second biggest value in q, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55, -20, 13, 44, 73, 100?\n\"Answer: -x**2 + 38*x - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -13433 + 13433 - 1977*k**2 as u*k + j + w*k**2 and give w.\nAnswer: -1977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*r - 981 = -24*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -31*n**3 + 182*n**2 - 8*n + 8. Let j(s) = 20*s**3 - 122*s**2 + 5*s - 5. Give -8*j(q) - 5*v(q).\nAnswer: -5*q**3 + 66*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294 divided by -49.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c + 37. Let f be y(-6). Let t be 0 - 904\/(-40) - (-12)\/(-20). What is the highest common factor of t and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (854 - 645 - 858)*(2*s**3 - 7*s**3 - s**3).\nAnswer: 3894*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q + 1. Let j be s(2). Let h = j - -11. Suppose 2*x - 2*c = -5*c + 6, 0 = h*x - 2*c + 4. Solve 2 = -x*v + 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20331 - 32013?\nAnswer: -113010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 10. Let s(k) = -k**2 + 7*k - 3. Calculate the lowest common multiple of h and s(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1514676?\nAnswer: 2, 3, 126223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 182037060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-465)\/(-12)*(-46)\/(-230)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 300826 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 30 = -0*p. Let q be (26 + 2)*22\/8. What is the tens digit of p\/15 + q\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 861650732?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 171b (base 13) in base 16?\nAnswer: d4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 + 0*d**2 - d**2 + 10 - d**3. Let w be b(0). Suppose w - 28 = -3*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o + 2 + 104*o + 11 - 94*o + 100*o as p*o + l and give p.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1100) + 2 + sqrt(1100) + sqrt(1100))*4 + (2*-1*sqrt(1100) - 2*(sqrt(1100) + 0)))*1 + 3)**2*2.\nAnswer: 138720*sqrt(11) + 10178002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-273)\/2)\/((-1)\/(-2)). Let b = -3008\/11 - t. Let d(g) = -3*g**2 - g. Find the common denominator of b and d(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556068971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3460 + 3468. Calculate the remainder when 38 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 3*u - 10. Let s be l(-7). Suppose -2*d - 6 = -2*f, 4*d = -3*f + 5 + s. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1548c (base 13) to base 6.\nAnswer: 510430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3 + 9254*a + 546*a**2 - 537*a**4 - 501*a**4 + 1036*a**4 - 2210*a wrt a?\nAnswer: -24*a**2 + 12*a + 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525 + 539 = 5*c + 3*n, -10*n = -30 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 12 = q, 4*k - 21*q + 29286 = 29274 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**4\/2 + 455199*i**3\/2 - 455195*i**2 - 910398*i + 1820788 = 0.\nAnswer: -2, 2, 455197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7522748 is divided by 3339?\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, -1, 2, 12.\nAnswer: -1, 2, 12, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5258, -10515, -15784, -21071, -26382, -31723?\nAnswer: -37100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 + -1. Let x = 106151\/123 - 863. Is q >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 4*i. Let t be f(6). Suppose -d + 13 = 4*s, -5*s - 2*d + t = -5*d. Find the second derivative of -5*w - 2*w**3 + 4*w**3 + 0*w - 4*w**s wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9340171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02678753 + -0.02682. What is r rounded to six decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*n + 47*n - 13*n**2.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c - 6. Let a(u) = -7*u - 11. Let b(g) = -6*a(g) + 11*j(g). Let l(y) be the third derivative of 13*y**4\/24 + 24*y**2 - 4*y. Give l(b(v)).\nAnswer: -26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a - 12. Let n(q) = -5*q + 6. Let i(p) = -7*n(p) - 4*v(p). Let x(s) = 4*s**3 + s. Let y be x(1). What is i(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 337 + 0.5.\nAnswer: 337.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2. Let q(z) = z + 5946. Determine q(d(j)).\nAnswer: 2*j**2 + 5946","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 524160 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - 39 - (-1 - -2 - 8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -130 - -130. Suppose 99*u - 101*u - 14 = d. Let b(a) = a**3 + 7*a**2 + 5*a + 10. Give b(u).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -1570\nAnswer: 3140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 241641 = -2051923. Let o = a + 4443937. Let u = 1250373 - o. What is u rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2f89e (base 16) to base 8.\nAnswer: -574236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -381 - -387. Put -4, s, -1\/7 in decreasing order.\nAnswer: s, -1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -2, -8, 3, -17.\nAnswer: -17, -8, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3950 a factor of 1526765850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 2:36 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(35\/28) + 36\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44*(-10)\/1100*140\/(-12)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 + -1)*(-6)\/15. Let u(l) be the first derivative of 0*l**n + 2 + 1\/3*l**3 - 1\/5*l**5 + 0*l**2 + 0*l. Suppose u(j) = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64797 + 64823.053. Let r = 26 - z. Let c = r + 0.0425. Round c to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l - 64 = 5*l. Suppose l*h = o + 23, -14*h - 2*o = -11*h - 20. Solve h*v = -4*u + 3*v - 18, 4*u - 3*v = -6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*x - 4 = 0. Suppose f - 2*f = 3*s + 11, -2*s = -f - x. What is the units digit of 227 + s\/(7\/2 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 + -65. Let q be (-11)\/(-1) + (-35)\/k. Sort q, 1, 3, 36 in increasing order.\nAnswer: 1, 3, q, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-190)\/152*2\/5)\/(2\/(-236)). Solve 2*w - 5*h - 33 = 0, 2*w - i + 41 = 2*h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*s + 66 + 24 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 0*r**2 + 0 - 15*r + 3\/2*r**4 + 1\/20*r**5 + 0*r**3. Find the third derivative of c(k) wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v - 1. Let a be t(1). Let m = -3 - -7. Suppose -m*k = -a*k + 77. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/2462469 and 75\/24968.\nAnswer: 19699752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*o**3 - 6*o**3 - 30 + 3*o**3 - 2*o**2 + 2*o + 22*o**3 wrt o?\nAnswer: 144*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2) + (15 - 12). Suppose -712 = -f*z - 4*m, 3*z - 171 = 4*m + 377. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 28 = 4*t, 4*t = -2*n - 0*n + 24. Suppose 7 = n*b + 23. What is the common denominator of 32\/9 and b - ((-10075)\/60)\/13?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 12*m - 6. Let f be k(-11). Factor -2*d**5 + 6*d**f - 2 + 2*d**2 - 3*d - 5*d**5 + 4*d**3.\nAnswer: -(d - 2)*(d - 1)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2 - (-74)\/36). What is the least common multiple of 4 and (-4)\/g + 280\/36?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 13 = 7, 3*w = -4*v - 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242469 is divided by 60617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v**3 - 10*v**3 + 2*v + 7*v**3.\nAnswer: 12*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/67285120 and 113\/7679280?\nAnswer: 1412987520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39746 is divided by 132.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**7\/x*x**(-40))**15)**(3\/10) assuming x is positive.\nAnswer: x**(-153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 15. Let n(c) be the third derivative of 0*c - 1\/270*c**6 + 0*c**5 + 1\/54*c**4 + 2*c**2 + 1\/945*c**7 + 0 - 1\/27*c**v. Find m, given that n(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5044, 5, -5, 0.5 in ascending order.\nAnswer: -5044, -5, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47440 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 9*y - 8*y - 17278 = 0, -3*y = -3*j + 17298. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 7 + 1 - 12 - 2*r in the form k + s*r and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + 78?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -44 times 20\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12834 or 12833?\nAnswer: 12834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6 = -4. Suppose 0 = -5*h + c + 16, -4*c = 2*h - 2*c - 16. What is the third derivative of 3*v**h + 11*v**4 - 2*v**2 - 8*v**z - 2*v**4 wrt v?\nAnswer: 288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24825 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i*i*i**(-2))\/i)*i*i*i*i**(-3\/4))\/((i*i*i**(2\/37))\/i**(-8\/5)) assuming i is positive.\nAnswer: i**(-299\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1382 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 7*d - 10)*(d + 1363 + 0*d**3 + 2*d**2 + 6*d**3 - 1348) in the form y*d**2 + s*d + k*d**3 + w*d**4 + i and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27286 at least as big as 27288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 7*c**2 + 30*c - 208. Let f be g(7). Put -3, -19, 5, f in decreasing order.\nAnswer: 5, f, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/9)*u*u**(-8\/5))\/((u\/u**(-2\/5))\/u*u**1) assuming u is positive.\nAnswer: u**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 2421503?\nAnswer: -2421505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21053.4401 rounded to the nearest 100?\nAnswer: -21100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**2 + 12*a + 4. What is the tens digit of w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + x = -3*k - 14, 8 = 3*k + 2*x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2533659 = -446*h - 2578705 for h.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 740252459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7848)\/8829)\/(7\/9).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*z**4 - 155*z + 153*z + 3 - 3 wrt z.\nAnswer: 252*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + x**2 + 3*x**2)*(-6*x + x + 2*x) - 7*x**3 + 7*x - 7*x.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 - -76.278. What is g rounded to two decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a week?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -27\/2*v**3 - 155*v**2 + 145\/24*v**4 + 0 + 0*v. Find the first derivative of t(b) wrt b.\nAnswer: 145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -740, -1637, -2528, -3413, -4292, -5165, -6032?\n\"Answer: 3*b**2 - 906*b + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 81919, 81828, 81679, 81472, 81207, 80884?\n\"Answer: -29*t**2 - 4*t + 81952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.82 times 13656?\nAnswer: -366253.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 11989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - 95.5. Let t = -31.64 - a. Let h = t + -0.86. What is the third smallest value in 3, h, -2\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*i**5 + 5163*i**4 + 25*i**3 + 14*i**2 + 4567*i - 31 wrt i.\nAnswer: 1320*i**2 + 123912*i + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -126. Let h = 93 + a. Sort -3\/7, -7, 0.1, h in decreasing order.\nAnswer: 0.1, h, -3\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 5 = -11 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -22433.\nAnswer: -22433.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - -9. Suppose -s = -3*j - 4*d, -4*j + 35 = -2*d - 29. What is the remainder when 116 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, x: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 15 = 0, 2*a + 18 = a - 3*m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 62*y**2 - 107*y + 786. Determine h(-60).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**7\/735 + v**6\/420 - 43*v**5\/210 - 85*v**4\/84 - 2*v**3 + 3*v**2 + 179*v. Factor z(i).\nAnswer: 2*(i - 7)*(i + 1)**2*(i + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 1, -6, 247, 19 in ascending order.\nAnswer: -6, -1, 1, 2, 19, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*-2*-2)\/((sqrt(72)*-2 - sqrt(72))\/sqrt(12)) - ((sqrt(17)*1 + sqrt(17) + -5 + 4)**2 - (sqrt(425) + 1)*-2).\nAnswer: -71 - 22*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31577914 to the nearest integer?\nAnswer: 5619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 134040 divided by -134040?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 11\/20*a**5 + 2*a**2 + 0*a + 0*a**4 - 23 - 10\/3*a**3. Let v(i) be the second derivative of c(i). Differentiate v(y) wrt y.\nAnswer: 66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13857617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3))**(6\/25)*((k\/((k\/(k**(-1\/3)*k))\/k))\/k)**(-2\/35))\/((k\/(k*k**1*k))**(-1\/7))**38 assuming k is positive.\nAnswer: k**(-5678\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -51, -52, -53, -54, -55?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3797326 divided by -26.\nAnswer: 146051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 812853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-12)*-1 - (-9)\/270. Let m = 0.27 + 0.03. Which is the nearest to -2? (a) m (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31.8 - 46.5. Let y = v + 14.8. Which is the closest to y? (a) -5 (b) -2\/7 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*q + 33066 = 2*q, -2 = -q. What are the prime factors of l?\nAnswer: 2, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 11:09 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*s**3 - 5*s**5 - 19*s**3)*(2 + 5 - 41 + (-4 + 3 + 2)*(1 + 1 + 0)).\nAnswer: 160*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t**3 - 249*t**2 + 8. Let i(v) = -19*v**3 + 748*v**2 - 22. Let s(u) = -4*i(u) - 11*o(u). Factor s(c).\nAnswer: -c**2*(c + 253)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36\/63)\/((-4)\/(-14)). Suppose 140 = q*l - 4*f, 2*l + 5*f - 2*f = 147. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69\/32 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2574676173?\nAnswer: 3, 29, 4751, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-52)\/(-871)*(-5)\/(-12)*12\/(-20)\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/580 and 54\/1955?\nAnswer: 226780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 44\/5 of a microgram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/((-1)\/(-216)). Let t = y - 42. Is 3\/(-2) - t\/(-12) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54711*p**2 - 54710*p**2 + 0 + 0 + 0.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(33)\/(sqrt(44)*-4))**2 - ((sqrt(135)\/sqrt(9))\/sqrt(5) + 4 + sqrt(12)).\nAnswer: -3*sqrt(3) - 317\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n**2 - 13*n - 13. Let j(x) = 2*x**2 + 3*x + 3. Let i(t) = -2*t**2 - 3*t - 3. Let p(r) = -6*i(r) - 5*j(r). Determine -26*p(y) - 6*z(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -209780 divided by 3085\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*f**2*o**3 + 3*f**2*o**2 + 8*f*o**3 + 23*f*o wrt o.\nAnswer: -54*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7 + 9 = 2*i, 0 = -h + 5*i + 14. Let c(w) = 4*w**2 - 2*w - 1. What is the lowest common multiple of c(-1) and h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 88?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1876 divide 42470764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 423241 at most as big as -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 16*y**3 - 3*y**2 + 2. Calculate t(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -405 + 187. Is x less than -219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*k = 129 + 58, 3*k = -12. Let u = 15 - m. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -5*r - 60127 + 60065, -2*r - 31 = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-7) - 48\/21. Let v be -2 + (0 - 1 - b). Let m(w) = -3002*w**2 - 2*w + 3*w + 1 + 2994*w**2. What is m(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002997859 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 78\/52*(-52)\/663. Let o = 0.6 - -0.4. What is the closest to 1\/4 in -3, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4 = -0. What is the remainder when 38 - ((-4)\/(-1) + b) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, k: 4, t: 2}. What is prob of sequence tt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-2)*(-34)\/68?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4740.103 + -4736. Round w to one dp.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*c**3 - 1)*(-16*c**2 - 671 + c + 675 + 23*c**2).\nAnswer: 14*c**5 + 2*c**4 + 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-6) + (-845)\/(-10)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28828, -29070, -29320, -29584, -29868, -30178, -30520?\nAnswer: -30900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4888800 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: Solve 17 = 44*f + 105 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 - 81. Which is the nearest to 1? (a) 0.3 (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00067133736 rounded to seven dps?\nAnswer: -0.0006713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m + 14. Let a be c(-6). Let r be (-3784)\/a - (110\/25 - 4). Let j = r + -145. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1111110000?\nAnswer: 1111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 288, 648, 1020, 1410, 1824?\n\"Answer: x**3 + 353*x - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p - 8. Let r(c) = 3974*c - 15. Calculate r(m(w)).\nAnswer: 15896*w - 31807","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 0.08 (c) 15 (d) 12 (e) 5 (f) 3\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/12 + (-21)\/(-9). Suppose -145 = -t*u + 20. What is the highest common factor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 1\/20*k**5 - 2\/3*k**3 + 13*k**2 + k**4 + 0 + 6*k. Is r(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*w**2 + 4*w**5 + 18*w**2 - 11*w**2 - w**5 + 0*w**4 + 0*w**4 + (-5 + 1 + 2)*(-1 + 1 + 2*w**5).\nAnswer: -w**5 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**5\/6 + 30*u**2. Let y(p) = 3*p. Let q(h) = -2*h. Let f(s) = 8*q(s) + 5*y(s). What is f(m(w))?\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3080\/1650)\/(35\/(-30))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + b**2 - b + 5. Suppose 1 = -4*j + 5, -j - 48 = -d. Suppose -54*p = -d*p. What is x(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 5*a + 106275 - 411295, 0 = -3*v - a + 183006. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12300746 is divided by 1637?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, y: 3}. What is prob of picking 3 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.217606372 minus 523?\nAnswer: -523.217606372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -g + 5*z + 7, -5*g + 4*z = 12. Suppose -30*a + 17*a + 7124 = g. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -13*x + 118. Which is bigger: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(38) + sqrt(228)\/sqrt(6))*-1)\/(sqrt(2) + (sqrt(288) - sqrt(288)*3) - sqrt(2)))**2 - (0 + (sqrt(2299)*1 - sqrt(57)\/(sqrt(18)\/sqrt(6)))).\nAnswer: -10*sqrt(19) + 19\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9711747?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1331717.5 to the nearest 1000.\nAnswer: -1332000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Let g be (b - -1)*3\/1. Let p(u) = 5*u**2 + 9*u + 9. Let m(i) be the first derivative of -2*i**3\/3 - 2*i**2 - 4*i + 3. What is g*p(w) + 7*m(w)?\nAnswer: w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -385, -919, -1679, -2665, -3877?\nAnswer: -5315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (4 - -17) + 5 + (5 - -20)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-18) + (-1)\/9. Which is the second biggest value? (a) q (b) -3 (c) 1\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 75*l**2*w*z**2 + 9*l**2*z + 2*l*z**3 + 3563*w*z**3 + 4735*z**3 wrt w?\nAnswer: 75*l**2*z**2 + 3563*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969\/5 greater than 2994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 37. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**6 + 193 + 0*a**6 - 4*a**2 - 193 wrt a?\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34235264 is divided by 1635.\nAnswer: 1634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44982 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/(u\/u**(-1\/3)))**31*(u\/(u\/(u*u**(1\/4)*u)))**(-44)\/((u*u\/(u*u\/u**(-6)))\/(u\/((u**(-2)\/u*u*u)\/u))) assuming u is positive.\nAnswer: u**(-208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzxrw. What is prob of sequence rwr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 1523.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*o - 3*o**5 + 11*o**3 + 78*o + 0*o**5 - 134*o - 120*o wrt o.\nAnswer: -60*o**3 + 66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7439000 to the nearest 100000.\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/41 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(6\/13))\/l**(-13))**43 assuming l is positive.\nAnswer: l**(8084\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -4\/7, -0.064?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 14*b = 69574. Suppose -6*d + b - 14974 = 0. Round d to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 668 - 1078*i - 453 - 5434*i - 1894*i + 3267 wrt i?\nAnswer: -8406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**7\/30 + z**3 - z**2 - 2. Let p(d) be the second derivative of o(d). Differentiate p(q) with respect to q.\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -3) + -13 + 15 - 41.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((35\/(-20))\/7)\/(91\/(-52)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*b - 66*b + 267 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*s**3 - 30*s**2 - 4*s = 0 for s.\nAnswer: -2\/29, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 - 107*i**2 + 350*i + 6. Let y be k(50). Solve 5*u + y = -48*r + 49*r, u + 3*r + 14 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -42*f**2 - 193*f - 870. Find the first derivative of p(m) wrt m.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) -2 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4 + 10 = 0. Suppose 8 = i + r*d, 0 = 5*i - 2*d - 0*d + 8. Which is greater: i or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((1 + 9 - 8) + 1 + -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 + 388\/8. Suppose 2*p = 5*u + 29, 0 = -0*p + 2*p - u - k. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4. Suppose -2*n + 9 - 29 = 5*a, l = a. Let z be (-3)\/(-2 - 18\/n). Solve 4*u + z = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.69 - -3.19. What is the second biggest value in v, -0.79, 2\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 233 = 7*g, 9*r - 307 = -9*g + 7*r + 3*r for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -206*m + 415*m - 26 + 2*m**2 - 208*m to the form p*m + a + n*m**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, c: 1, b: 1, z: 1, i: 1, x: 1}. What is prob of sequence cixr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 28*n**2 - 17*n - 49. Let h be t(26). Let p = h - -4176. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 13?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.1 - 0.9. Let c = -9.5 - -9.8. What is the third smallest value in z, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 1 - 9. Suppose 4*x - y - 33 = 72, -5*y - 125 = -t*x. What is the remainder when x is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = -6*o + 3*k, 2*o - 23*k + 44*k - 13 - 125 = 25*k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*a - 2*j, 1 = 371*a - 376*a - j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -159.972 - -160. Let j = -90 + 90.172. Let s = l + j. What is the second biggest value in -1\/7, -1\/3, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -997 - -344. Let d = -922 - c. Let q = 508 + d. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Let l be 6\/10 + (804\/(-140) - -5). Which is the closest to v? (a) 5 (b) l (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104 + -97 - (2 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 10*n**2 + 21*n + 17. Let w be j(10). Calculate the common denominator of -58\/9 and w\/(-99) - ((-9)\/(-11) + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000045222 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5691.57 times 1\nAnswer: -5691.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most as big as -30.339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 303*y**2 - 18 + 18 + 6769*y + 1069*y**2 wrt y.\nAnswer: 2744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31529, 30535, 28895, 26621, 23725, 20219, 16115, 11425?\nAnswer: 6161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b265 (base 12) to base 11.\nAnswer: -844a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h + 1637 + 1642 - 3257 as k*h + f and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-21)*-2)\/((-6)\/63)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 15. Let u(n) = -n**3 + 8*n**2 + 5*n - 12. Let a be u(v). Let l = a - 66. What is the highest common divisor of 66 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*i - 60691*i**3 + 60692*i**3 + 83*i**2 - 17*i**2 in the form j*i**3 + u*i + f*i**2 + z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(8\/10 + -1). Suppose p*l - 15 = 2*l. Suppose -i = -92 + l. Does 29 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.61 + 14.01. Sort p, 3\/4, 0.1, -2\/19 in increasing order.\nAnswer: -2\/19, 0.1, p, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**4\/4 + y**3 - 3*y**2\/2 - 11*y. Let g(n) be the first derivative of s(n). Let x(w) = -w**2. Determine g(x(u)).\nAnswer: 6*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d40 - 1314?\nAnswer: -2054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/153 and -163\/2244.\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 2:11 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j + 2*j - 35*j as u*j + c and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -257\/23 and -11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, y: 1, f: 1, g: 1, p: 5, o: 2}. What is prob of sequence fg?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 7:38 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 - -327. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-12) - 2\/3. Let h be (-2 - -2) + (-1 - 35). Let u be 4\/18 + 8\/h. Is u at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/31430 and -29\/70.\nAnswer: 31430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1042240 (base 5) to base 8\nAnswer: -44015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 380983418 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 6*g - 3. Let n be c(-4). Suppose -2*f = -q + 26, -58 = -2*q + 2*f - 4*f. Suppose -q + 0 = -3*o + 2*k, n*k = 5*o - 55. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1032 divide 51275410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 151*w**4\/24 - 30*w**3 - 102*w**2. Is c(5) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 918, 7295, 24602, 58305, 113870?\n\"Answer: 911*s**3 - s**2 + 3*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 3:03 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y. Let t(f) = -f**2 - 6*f + 2. Let h be t(-7). Let m = -2 - h. Let v(x) = -m*x - 2 + 2. Give v(b(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*(sqrt(119)*2 - sqrt(119)) + sqrt(119))\/(-1*sqrt(700) - sqrt(7))*-3.\nAnswer: -12*sqrt(17)\/11 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012203001 (base 4) to base 3.\nAnswer: 1000222222022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42.680010072 + -42.68. What is h rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ab (base 14) to base 11.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 960.215 tonnes?\nAnswer: 960215000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5878381*r + 17150965?\nAnswer: -5878381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -336*f**2 - 16 + f**4 + 10 + 4 + (-1 + 1 + f**2)*(f**2 + 2 - 2).\nAnswer: 2*f**4 - 336*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -178, -366, -660, -1078, -1638, -2358?\nAnswer: -3256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 14) to base 7\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h = -2*z + 52, 0 = 3*h. Let u = 24 - 4. What is the remainder when z is divided by (5 - -4)\/(12\/u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 23.1. Let v = w + 1. Which is the nearest to v? (a) -3 (b) 2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7870 to the nearest one hundred.\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 1590\/101, -1\/2, 0 in decreasing order.\nAnswer: 1590\/101, 3, 0, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121383866268.99999291 - 121383865127. Let v = s + -1142. Round v to seven dps.\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3888 and 1953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -6. Let o = 88044 + -34249118\/389. What is the third smallest value in -0.4, o, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 0 - sqrt(76) - (sqrt(19) - (0 + sqrt(19) + 0)) - 3*sqrt(152)\/sqrt(72)*1)**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3\/s**(1\/7))\/((s*(s*(s**3*s*s)\/s)\/s)\/s**7))\/((s*s*s**(-5\/4))\/(s*s**3)*(s**(-1\/2)*s*s*s)\/s**6) assuming s is positive.\nAnswer: s**(325\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z - 4. Calculate t(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.692 - -452.692. Let w = p - 461.225. Let a = -0.125 - w. Round a to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -828543*p**5 + p**2 - 316721*p?\nAnswer: -16570860*p**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v - 3. What is the remainder when 19 is divided by n(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r - 51 + 11 = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6559*s**2 - 6559*s**2 + 13113*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3245, 6702, 10369, 14246, 18333?\n\"Answer: 105*c**2 + 3142*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 3*o**2 - o + 2. Let a be z(-2). Suppose a = -h - h + 46. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8758.01 years?\nAnswer: 105096.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 23 - 6*p + 42*p in the form r*p + v and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 + 93*c**2 - 4*c**2 + 3 to m*c**2 + w*c + f and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 330010. Let u(a) = a. Determine u(k(j)).\nAnswer: -2*j**2 + 330010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116106243 is divided by 38702078.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**2 - 10*z - 15. Let t(s) = -13 - 6 + 20 + s**2 - 2*s**2. Let a(m) = p(m) + 6*t(m). Give a(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 12*a + 18. Let k(c) = 14*c**2 + 4*c + 4. What is the hundreds digit of k(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*x**3 + 5*x**3 - 24*x**3)*(x - 3 + 0*x + 2) as u + a*x**3 + g*x + w*x**4 + i*x**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 0*o - 101*o**3 - 3*o**2 - 6 + 57*o**3 + 66*o**3 - 3*o**2 + 7*o. Let c(v) = -v**3 + v**2 - v + 1. Calculate 6*c(l) + p(l).\nAnswer: 16*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 229 and 10126214206.1?\nAnswer: 10126213977.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 2*s + 0*s**7 + 0*s**6 - 139\/12*s**4 + 0*s**2 + 186 + 0*s**5 + 0*s**3 - 1\/14*s**8. Find the third derivative of v(a) wrt a.\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 7:53 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -16*c**3 + 3*c**2 + 2*c - 1. Let v be d(-2). Suppose -3*y = -2*i - 285, -y + 2*i + v = 44. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -187449*0.019\nAnswer: -3561.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0451 - 1.57335.\nAnswer: -1.61845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = r + 2, 5*r - 5*q = 7*r - 10. Suppose l - 3*y + 2*y = 2637, r = 3*l + 5*y - 7887. Suppose -754 + l = -p. What is p rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7\/3, 6, -0.06 in decreasing order.\nAnswer: 6, 3, -0.06, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -306 + 4588\/15. Let y = -0.95 - 0.05. Let q = -1 - -7. Which is the nearest to y? (a) f (b) -3\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjmmmmmm. What is prob of picking 2 m?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.876506 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 2:20 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 + 0.55. Let c = 2.394 + -1.413. Let s = -0.019 - c. What is the closest to p in 4, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/9 - (-4836)\/3348.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -33102 (base 5) to base 7\nAnswer: -6432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**6\/360 + j**5\/90 + j**4\/72 + 12*j**2. Let m(c) = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2040*r**3*v*w + 4*r**3*v + 260*r**2*v**2 - 5640*r**2 + 3322*v**2*w wrt w.\nAnswer: -2040*r**3*v + 3322*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 298 - 175 = 173 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 370*p + 1646. Calculate f(-4).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153848695 to the power of 1\/2, to the nearest integer?\nAnswer: 12404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2392 + -2392. Determine o so that -2\/15*o**5 + 0*o + a*o**4 + 2\/15*o**3 + 0 + 0*o**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10282 minus 6143?\nAnswer: -16425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -60. Suppose -3*r - 10 = 2*t, -2*t + 4*r - 9 = a. Which is greater: t or -22\/3?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*c + 1015, 3*u = 4*c + 44 + 2961. List the prime factors of u.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*282639.\nAnswer: -282639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*g - 53*g + 256*g + 247 + 190*g - g with respect to g.\nAnswer: 399","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 3. Let b = -10843831 - -10843828.99999992. Let k = n - b. What is k rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3180 - 1?\nAnswer: -3181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 727 + -727. Sort w, 46, -1 in descending order.\nAnswer: 46, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*p + 176*p - 2 + 2 - 945*p)*(22*p**2 - 18*p**2 + 7*p**2).\nAnswer: -8217*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411150 is divided by 96?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**3\/5 + 175356*v**2\/5 + 70140*v + 175348\/5 = 0?\nAnswer: -43837, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 22*x**2 + 30*x + 87. Give y(21).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1874.45 to the nearest ten.\nAnswer: -1870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7)*h*h\/h**(3\/8)*h)**20)**(2\/25) assuming h is positive.\nAnswer: h**(163\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100101011 - 1220?\nAnswer: -100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9*r**2 - 40*r - 76. Let l(k) = -19*k**2 - 80*k - 151. Let m(n) = -4*l(n) + 9*x(n). Suppose m(z) = 0. Calculate z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23a + -1?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-2*1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12*m - 2. Give l(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -9 - (-20 - -20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 63 = -1. Let d = n - 64. Which is smaller: d or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*p + 181 = -135*p + 66*p. Sort 1, 0, 4, p in ascending order.\nAnswer: p, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 852?\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12113.\nAnswer: 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 1.804289.\nAnswer: 0.1804289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 6*h + h)*(3*h**2 - 4*h**2 + 3*h**2) + h**3 + h**3 + h**3 + (-3 + 5 - 3)*(2 + 3*h - 2)*(-6*h**2 - 13*h**2 + 4*h**2).\nAnswer: 44*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 8*n**2 - 10*n - 5. What is l(9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2763 and 1842?\nAnswer: 5526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -0.1, 2\/7, -8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 3, y: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7073832683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(325) + 0)*-4)**2 + -3 + 4*((sqrt(39)\/(sqrt(6)\/sqrt(2)))**2 + (0 + sqrt(1872))**2))*2.\nAnswer: 25474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65390418 divided by -32695209.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -139*u**4\/24 + 18*u**2 - u. Let l(z) = -3*z. What is l(t(b))?\nAnswer: 417*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1572687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (0 - -3) - (-2 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 4 + 6. Let c = 12 - f. Suppose c*x = 9*x. Solve -4*y + 3*y = x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 take away -2.860614?\nAnswer: -8.139386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/27497655 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 167104133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddbd when four letters picked without replacement from cmkmmcddcmdddddcdmbm.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**3 - 666*u**2 + 113*u + 25124. Calculate k(-222).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4489 + -4488. Put 124, 9, h in decreasing order.\nAnswer: 124, 9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93\/2 - 307\/6. Let k(y) = y**2 - 38*y + 99. Let x be k(35). Is x at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*k - 48*k**3 + 176*k**3 - 32*k**3 + 219*k**3.\nAnswer: 315*k**3 - 39*k","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 4*f**2 - 2*f + 1. Let t be n(-4). What is the units digit of t - (-2 + -1)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103 - -101. Let k be (3 - (-6 - -15))\/(-2). Let t = 31\/7 - 734\/161. Put k, t, q in ascending order.\nAnswer: q, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 11. Let n(u) = -3*u - 16. Suppose 4 - 19 = -3*s. Calculate s*n(b) + 7*v(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 114, 119?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 538331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m**2 + m - 1. Let u = 41 + -39. Suppose -54 = u*g - 58. Suppose g*f - 4 = -0. What is y(f)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5987 + 10184. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68168148 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 252, 570, 1016, 1590, 2292?\nAnswer: 3122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 15*u**2 + 16*u - 32. Let n be i(14). Which is the nearest to -0.1? (a) -2\/5 (b) -2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 480 - 2492 = 2*q, -4*q + 5*i - 5947 = 0. Is q < -1484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2353280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2136 = -94*i + 106*i. Let k = i + 200. Solve -2*j - 5*z + 2 = j, 4*j = 3*z + k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 27*c + 59. Let x be l(29). Let w = 370\/273 + -2\/91. What is the nearest to -1 in -2\/5, w, x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 - 86*j.\nAnswer: -86*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/497555 and -99\/10?\nAnswer: 995110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 69215292.\nAnswer: 207645876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11745 divided by -405\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60.3279*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 1221.93079.\nAnswer: -1221.63079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 173 + -163. Solve -l + 12 = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13 + (0 - 9) + (-16)\/(-2). Calculate the highest common factor of b and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 12*a = -35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.4 + -3.428. Round m to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5*w + 21, 0 = 61*c - 59*c - 4*w - 16. Let n(i) = 4*i. Calculate n(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 5:45 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/6*0)\/(-2). Suppose i = -4*z - 1 + 17. Solve 2*t - z*c - 5 - 9 = 0, 0 = -3*c - 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0 = 100. Suppose -20*n + 15*n = u. Let o = 12 + -17. Put n, o, 0 in increasing order.\nAnswer: o, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35345*i**3 + 1030*i**2 - 16818*i**3 - 1030*i**2.\nAnswer: -52163*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 + 9*l**2 - 65*l**3 + 91*l**3.\nAnswer: 26*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/(-18480)*-24*47\/18 and -103\/198?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64? (a) 1\/2 (b) 223 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 + 8*m - 23*m + m**2 - 2*m**3 + 10*m to the form l*m**2 + i*m + c + w*m**3 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v - 8*v**2 - 6 - v**3 - 2*v**2 + 6*v**2. Calculate g(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/11)\/((-470)\/(-2585))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 5*g**2 + 11*g + 5. Let h be a(-7). Suppose 0 = 3*w + 5*f - 46, -4*f = -3*w - f + 78. Let c = h - w. Solve -u = c*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**5 + 0*h**5 + 0*h**5 + 2*h**5 + 0*h**5 + 0*h**5 + (-2*h + h + 3*h)*(-h - h**4 + h) - 4*h**5 + 2*h**5 + 0*h**5 - 175 - 91*h**5 + 175.\nAnswer: -96*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -43.81. Let x = 0.03 - s. Let y = x - -0.08. What is the smallest value in 2\/7, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23776 is divided by 23690?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 98808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.7 - -3.3. Let y = f - -14. Which is the nearest to 1\/4? (a) 1\/11 (b) 2\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 5*i**2 - 4*i + 4. Let l be n(-4). Suppose h - 50 = -l*o, -h = -3*o + 2*o - 40. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 453953*o - 5447458. What is v(12)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -161131\/3, -1\/2, 4, -3\/5.\nAnswer: -161131\/3, -3\/5, -1\/2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127*(-26)\/(-9906)*68.\nAnswer: 68\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1684, -1683, -1682, -1681?\nAnswer: -1680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(6\/(-60) - 1). Suppose -5*i + 6 = -2*n, -5*n = 3*i - n + 12. Which is smaller: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -15*m + 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -167.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 2, -0.03, -0.27 in descending order.\nAnswer: 2, 3\/7, -0.03, -0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Let u be (-1 - -2) + 7\/o. Let z be u\/(-20) - (-12)\/5. Solve 7*l = z*l + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55492663.\nAnswer: 109, 311, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(3952 - 23*x + 266*x - 3952) as i + z*x and give z.\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 85 = -56 + 81 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*n + 610 = 211*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h = -26*h + 586000. Round h to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 443 + -440. Suppose -48 - z - 41*z + 22*z - 4*z**f + 24*z**2 = 0. Calculate z.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19) + 3 + 0))**2 - (sqrt(38)*2)\/sqrt(2).\nAnswer: -2*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (2 - 3\/(-6)). Let c = -28 + 27.6. Put c, v, -1\/3 in decreasing order.\nAnswer: v, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j\/(j\/(j\/(j**(-6)\/j))*j*j*j)))*j*j\/j**(-2\/9)*j**(-1\/4)\/j*j**3 assuming j is positive.\nAnswer: j**(323\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89 + 89.37. Let o = 0.36917 - b. What is o rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336351 and 9979?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.381686l?\nAnswer: 3381.686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/10*2\/8\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3497 (b) 15728 (c) -3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36, 57, 78, 99, 120, 141?\n\"Answer: 21*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29724 and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8386*i + 8392*i - 486 = 0. Sort i, 4, 0, 2 in ascending order.\nAnswer: 0, 2, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 f when four letters picked without replacement from frfrrbrrrrbrr.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 4*n = -139, 105651 - 105656 = 5*n for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-20) - 76\/240?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/(-3 - 699\/(-234)). Let j be -7 + 5 + (0 - a). Suppose 0 = -34*m + j*m - 143700. Round m to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2000) - (sqrt(55)\/(sqrt(11)*1) - (-1 + sqrt(10)\/sqrt(2))))**2.\nAnswer: 80*sqrt(5) + 8001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -15*j**4\/4 + 17*j**3 + 21*j**2 - 24*j - 399. Determine b, given that h(b) = 0.\nAnswer: -1, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 14 - 6. Suppose m*h - 443 = -47. Suppose 0 = -3*u - 0*u + h. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 2*x**5 + 3*x)*(-7 + 0 + 1)*(-6 + 228 - 10).\nAnswer: -2544*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -22, -33, -28, -1, 54, 143, 272?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4043 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222088?\nAnswer: 2, 17, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2422535 (base 6) in base 12?\nAnswer: -61a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -111? (a) 1\/14 (b) 3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8867717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2 + 4*w**3 + 5*w - 5*w**2 - 2*w**3 + w**2. Let m(z) = 4*z - 9. Let x be m(3). Is s(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36717804 - 11?\nAnswer: 367177a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 119 = -3*z, 4*z - 2*o = 7*z - 122. Suppose -15 = -43*q + z*q. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5121 and 69?\nAnswer: 117783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = n + 817 - 825, 8 = 5*v - n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159154 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*u + 3*v = -138*u + 34, -u + 28 = 4*v. Solve 0 = u*w - f + 15, 4*w + 3 = 3*w + f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/((sqrt(72) - (sqrt(72) - (sqrt(72) + sqrt(72) + sqrt(72) + sqrt(72)*-4 - sqrt(72))))\/sqrt(8)) - (sqrt(228) + 6*sqrt(228)*-1)\/sqrt(12).\nAnswer: 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 295*t**2 - 9480*t - 17046. Calculate o(258).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 5*m**2 - 3*m - 15. Let h be b(5). Which is smaller: h or -28?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 411556\/1977 and 207 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -131120362 and 30.\nAnswer: -131120332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103533, 103489, 103445?\nAnswer: 103401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3145256 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: What is the value of (-1)\/(-1*7)*(21\/(-468))\/(548\/2192)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -733367\/9 + 81485. Suppose -5 - 20 = -5*v. What is the fourth biggest value in 4, 8, t, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 24 = -d. Let j(z) = -6*z**3 - 9*z**2 - 12*z - 7. Let u(q) = -q**3. Let t(n) = j(n) - 5*u(n). What is the tens digit of t(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 300 = 5*x, 3*x + 240 = -271*k + 275*k. What is the lowest common multiple of k and 690?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*j**2 + 17*j**2 - 11*j**2 + (j + j**2 - j)*(3 + 3 - 7) + (-5*j - 3*j + 6*j)*(-2*j + j - j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 9956.\nAnswer: 19912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2820, 0, 4, -20, -2, 3 in increasing order.\nAnswer: -20, -2, 0, 3, 4, 2820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1688509511.\nAnswer: 13, 23, 5647189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*v - 2*v - 30, 4*s + 3*v = 37. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 less than -83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40343\/3670 + -34\/367. Let j(f) = -14064*f**3 - f**2 + f - 1. Let k be j(1). Let s = 309355\/22 + k. What is the common denominator of s and a?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-143)\/(-13) + -23 + 8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15615 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 142*z - 1. Let k(g) = -776*g + 6. Let x(q) = 2*k(q) + 11*r(q). Let y(u) = -5 + 3*u**2 + 5. Determine y(x(d)).\nAnswer: 300*d**2 + 60*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 4*m - 9*m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 79734343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000357773 rounded to 7 dps?\nAnswer: -0.0000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 605635447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1215771473 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 15264498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27a3 (base 12) in base 11?\nAnswer: 34a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*y + 9 + 6, y = 0. Suppose 2 = -r + u. Let l(b) = 5*b + 4. Suppose -4*m = 20 - 4. Let w(z) = z + 1. Calculate m*w(f) + r*l(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 0*d + 0*d + 6 + 6 + 11*d. Let o be m(-6). Let v be o\/(-15) - ((-8)\/20 + 0). Solve -2*t - 19 = t - 2*c, 0 = -t + v*c - 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 255d9 (base 14) to base 15\nAnswer: 1c29d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5425123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from {m: 1, j: 1, b: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 181)\/(18 - 17) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - (-4 - (-11 - 16))) + 1 + 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 219 - 761 = 0. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59588373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 4*f**2 + f + 4. Let q be c(-4). Suppose -3*w + 4 + 5 = q. Suppose w*j = j. What is j rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 491 (base 14) to base 8.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1228094 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -19. Suppose -15 = -3*c + d. What is the remainder when 24 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 9*h - 2. What is c(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -254*n**2*o**2 - 22808018*n**2 + 753*o**3 + 2*o**2 wrt o?\nAnswer: -508*n**2*o + 2259*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*y**4 - 261*y + 30*y**4 - 32*y**2 + 29*y**4 + 256*y in the form z*y + p + w*y**2 + m*y**4 + s*y**3 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(7) - 6*(-1 + sqrt(7)))**2 - (sqrt(448) - 2*sqrt(448))) + (-1*sqrt(252)*3 + sqrt(252))*-2 + -4 + -5.\nAnswer: -28*sqrt(7) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27404 + -18466. Let p = -160751\/18 + r. Calculate the common denominator of -59\/22 and p.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6381 is divided by 32.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -5*m - 2*k + 84, 2*m - 5*k - 52 = 0. Factor -49*u**4 + 14*u**3 + m*u - 39*u**2 - 70*u**2 - 2 - 2 + 112*u**3.\nAnswer: -(u - 1)**2*(7*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 63859 - 134781. Is 62 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 254?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-20))\/(-7)*(-75)\/60?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3)*b)**(-45)\/(b*b**3*b**(-5\/2)*b) assuming b is positive.\nAnswer: b**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1112032 + 1133302?\nAnswer: 2312000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11302304389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.067 - -1.417. Let l = -1.1 + m. Let w = 0.24999958 - l. Round w to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.064 + 2.994. Let x = 3.13 - m. What is the closest to -14 in -0.3, 0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -g + 147. Let b(s) = s - 262 + g. Let o(c) = -c**2. Determine o(b(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 535, 1203, 2131, 3313, 4743, 6415?\nAnswer: 8323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieeqeqeieiveveqe. Give prob of picking 1 i and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**20*r)\/r*r)**(-3\/7) assuming r is positive.\nAnswer: r**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 12*b**3 + 7*b**2 + 7*b - 79. Let d(t) = 11*t**3 + 7*t**2 + 6*t - 80. Let c(g) = -7*d(g) + 6*y(g). Differentiate c(n) wrt n.\nAnswer: -15*n**2 - 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 606, 4803, 16178, 38319, 74814, 129251, 205218, 306303?\n\"Answer: 598*i**3 + i**2 + 8*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-3))**47*(g*g**13)\/g*g*g**(3\/16)*g)**(-3\/5) assuming g is positive.\nAnswer: g**(-9753\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**3 + 5*r**2 - 6*r + 4. Let t(s) be the second derivative of s**5\/20 - s**4\/12 + s**3\/6 - s**2\/2 + 31*s. What is g(o) + 4*t(o)?\nAnswer: 2*o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10052\/5385*20\/(-42)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*k + 7190 = -70*k + 9061 - 7415 for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53083 - 212287 + 53042 + 53081 - 2*t + 53081.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1368\/(-14858)*(-1513)\/(-267)\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y**2 - 2*y + 7. Let s(g) = -7*g**2 - 3*g + 8. Let q(f) = 3*a(f) - 2*s(f). Let u(c) = -2*c**2. Calculate q(u(n)).\nAnswer: -28*n**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55*c + 189*c - 51*c)*(-2*c**2 - c**2 + c**2 + (-3*c - c + 2*c)*(-c - c + 4*c) + 2*c**2 - 2*c**2 + 2*c**2) as p*c**2 + x*c**3 + y + g*c and give x.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5152\/725 + 220\/29. Let x = -158\/225 + l. Let z = 0.08 - 0.18. Which is the third biggest value? (a) z (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-7)\/(-12)))\/((15\/(-7))\/(-15)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41437927045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*u - 5, 4*u = 2*q - 2. Find the second derivative of -4*k**4 + q*k**4 + 45*k - 19*k + 5*k**4 wrt k.\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -935 = -5*p + 5*c, -23*p + 24*p - 196 = 4*c. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*x**2 + 6*x + x - 7*x as n*x**2 + p*x + u and give n.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38512 by -227.\nAnswer: -38512\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**6\/120 - 3*t**4\/8 - 3*t**2. Let m(j) = -j. Let d(z) = -l(z) + 5*m(z). What is the second derivative of d(o) wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 36 = -3*j + 10*j, -o = -256*j + 260*j + 18 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42288497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 1 - 2 + 4. Let a be l(2). Let d(g) = -2*g**3 + g**2. Calculate d(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 26*f**3 + 11*f**2 + 9*f - 8. Let y(b) = -9*b**3 - 4*b**2 - 3*b + 3. Determine -3*s(u) - 8*y(u).\nAnswer: -6*u**3 - u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1606 divided by 54\nAnswer: -803\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c - 2. Let q be p(-2). Calculate the remainder when (0 - 1) + q - -2 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(32)\/sqrt(128) + sqrt(4)))\/(-4*sqrt(162)).\nAnswer: -sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-14)*(-8)\/(-1)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3480 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1503155*s**5 - 3*s**4 - 826*s**2 + 15522?\nAnswer: -90189300*s**2 - 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -61743 - 51?\nAnswer: -61804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/25892680 and -111\/1210.\nAnswer: 284819480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8005, -7999, -7993, -7987?\n\"Answer: 6*i - 8011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 223010 (base 4) to base 10\nAnswer: 2756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.1 + 0.75. Round i to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(22))\/sqrt(2) + 2.\nAnswer: 2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - (sqrt(1188) - sqrt(1188)*1))\/((sqrt(12) + sqrt(192))\/sqrt(4) + sqrt(3)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 253317 to the power of 1\/2, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4976 and 405150896?\nAnswer: 4976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 6. Let b be r(10). Let l = -2 - -4. Determine n so that -6*n - n**l + 3*n**2 + b*n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15705\/4 - -3926. What is the third biggest value in k, 4, 0.3, -9, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 724 - 724 + 2*s + s. Let p(y) = y**2 - 8*y - 4. Let a be p(9). Let j(o) = -o - 6*o + a*o. Give x(j(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 13 = -4*s - 2*n, -5*s + 12*n = 105 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence woob when four letters picked without replacement from {w: 3, p: 5, o: 7, b: 1, c: 3}?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4 + 9*v**3 - 10*v**2 - 36*v + 56 = 0. Calculate v.\nAnswer: -2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/1460)\/(((-1204)\/(-280))\/43).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-110)\/44)\/(2\/4). Let m(y) = y**2 + 5*y + 3. Give m(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 975 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1034 (b) 0.2 (c) -2 (d) 2\/13 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 14 - 20, r + 3*w - 13 = 0. What is the second derivative of -10*c - 8*c + r + 19*c + 15*c**3 - 24 wrt c?\nAnswer: 90*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4 + 234*h**3 + h**2 - 234*h = 0. Calculate h.\nAnswer: -1, 0, 1, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.7018967 + 61.2980972. Let x = w + -79. What is x rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-2738))\/(-1)*-6. Let j = -83533\/5476 + y. What is the common denominator of j and -77\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83894067287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*d**3 + 4391508*d**2 - 3*d + 387528205 with respect to d.\nAnswer: -33*d**2 + 8783016*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41\/2 of a centimeter?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52608.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375 - 155*w + 94*w + 752 + 33*w - 377 + 29*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -13*c - 7. Let t be s(0). Let v(q) = -q**3 - 6*q**2 + 7*q + 5. Determine v(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2278*k + 1331. What are the prime factors of z(3)?\nAnswer: 5, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1088195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93356 - -35035.\nAnswer: -58321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 4*p**2 + 5*p + 5. Determine o(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418110 and 24465?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 6*g - 5. Let m be h(-5). Suppose 2*f - 2*j - m = -3*f, 2*f - 2*j = 14. What is the highest common factor of 84 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmm when three letters picked without replacement from {j: 1, p: 2, f: 1, e: 1, k: 1, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27862352 and 553.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24639602 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 13. Suppose -3 - 15 = -k*o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -767 - -765. Sort 1, 4, h, -11 in descending order.\nAnswer: 4, 1, h, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1227945?\nAnswer: 3, 5, 71, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 302*w + 1052*w - 105612 for w.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17802, -17591, -17348, -17073?\n\"Answer: 16*t**2 + 163*t - 17981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**2\/2 + 3. Let r = 5 + -1. Let g(u) = 1 - u**2 - 5 + r. Calculate x(g(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4267 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2438345864 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*u + 23. Let j be 4\/16 + u\/(-4). Let c(t) = -3*t + 3. Let d be c(-2). Solve -n - j*r - d = 4*n, -4*r + 20 = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -245 - -495. Suppose 6*q - k = q. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3 - 2*v + 8*v**2 + 5*v - 10*v**2 - v**2 + v**3. Let z(c) = 3*c - 9. Let m be z(4). What is n(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z - 1. Let y be u(-5). Let j = y + -9. Solve 4*a = -j + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*i = -31*i + 56 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-5) + (-27621)\/(-29295). Factor -v*x**2 - 24\/7*x - 144\/7.\nAnswer: -(x + 12)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23, 7, 89, 223, 409, 647, 937?\n\"Answer: 26*o**2 - 48*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 933 - 938. Calculate the lowest common multiple of z and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1330 by -3.\nAnswer: -1330\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458754795.\nAnswer: 5, 193, 1511663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2 - 7*g - 9*g + 4*g + 11*g. Suppose -4*f = -2*f + 4. Let x be (5 + f)\/3 - 1. Determine q(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**3*s**(-6)*(s\/s**(-1)*s)**(-27) assuming s is positive.\nAnswer: s**(-89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -21 + 24*l**2 - 17*l**2 + 36*l - 3*l**2 - 67 = 0.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -2.8216\nAnswer: 0.28216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/5 + 44*r\/5 + 224\/5.\nAnswer: 2*(r + 8)*(r + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5 + 6680*b**4 + 11148876*b**3 - 22598482*b**2 - 457372877*b + 468815802 = 0. Calculate b.\nAnswer: -3341, -6, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 28*f + 10. Let d(n) = 3*n + 274. Determine d(w(t)).\nAnswer: 84*t + 304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - z. Suppose 3*t - 3*l = -2*t - 4, -2*l + 7 = t. Let o(q) = 5*q**2 - 6*q - 15. Let n(m) = t*o(m) - 4*y(m). Is 11 a factor of n(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h - 21*h - 16*d = -87, 3*h - 4*d = 1 - 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -4*a + 96, s + 4*a + 9*a = -36*a + 53*a + 19 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 2*d**2 - 5. Let v be s(4). Let t = 144 + v. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*k**3 + 10*k**2 - 1589*k.\nAnswer: -126*k + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -48612668 times -0.3?\nAnswer: 14583800.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from wwjjjwj.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j. Let t(q) = -2*q + 1158 - 1158. Give t(g(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 6*q = 3*q - 6, 8 = -p + 2*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4230 and 4474635.\nAnswer: 26847810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 13*w = 2*n + 351132, -3*n = w - 87769. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221941 rounded to the nearest 1000?\nAnswer: 222000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 59 - 11 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3bcdc (base 15) to base 2\nAnswer: -101110110110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-12)\/y)**(6\/17))**(-28) assuming y is positive.\nAnswer: y**(2184\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 138967, -48, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + r - 14 = 0, 0*r = -3*p - 2*r - 14. Let d be -5 - 64\/p - (-4)\/(-6). Solve d*n - n - 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -131.65?\nAnswer: 13.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2226 and 6094578.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 2:19 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62149940243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-1) - (-13 - (-2 - 4)). Suppose -c + 20 + 6 = -m*u, -u - 2 = 3*c. Let g(t) = t - 1. Let i(v) = 2*v**2 - 2*v + 6. Calculate c*i(j) + 4*g(j).\nAnswer: 2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*5\/(-1)*63\/(-210).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*i + 1310 = -50*i. What is the nearest to -1\/2 in 0.09, 2, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1839.3.\nAnswer: -183.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56296 is divided by 18762?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 9:00 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d*n*y**3 + d*n - d*y**3 + n*y**2 + 12*n*y + 8*y**2 - 1 wrt y.\nAnswer: 30*d*n*y - 6*d*y + 2*n + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*h + 65*h - 63*h = -62*h - 4896 for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g = 7*g + 114 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 70*u**4 + 5*u**3 + 5*u**2 + 32*u + 5. Let o(h) = -h**4 - h**3 - h**2 - 1. Let p(n) = -5*o(n) - t(n). What is the second derivative of p(f) wrt f?\nAnswer: -780*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-165)*9)\/((-9)\/(-45))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -33*o**4\/4 - 230*o**3\/3 + 392*o**2. What is the first derivative of i(l) wrt l?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11990?\nAnswer: 2, 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -94745 divided by -5\nAnswer: 18949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*14\/(-4))\/((-4)\/(-8)). Let i(z) = z**2 - 6*z - 9. Determine i(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*n + 270*n = 0. What is the closest to n in 1\/4, -4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 15*d**2. Let h(s) = 186694*s**2. What is h(x(i))?\nAnswer: 42006150*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14252 (base 6) to base 2.\nAnswer: 100011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37190 + 3971. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*j + 5*v, 5*j + 6 = -5*v + 3*v. Suppose 5*w - 133 = 3*k, j = 5*w - 5*k - 11 - 124. What is the greatest common factor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t - 167. Let w be g(20). Let v be 4\/(-28) - 1\/w. Factor -2\/5*y**2 + 2\/5*y**5 - 6\/5*y**4 + 0 + v*y + 6\/5*y**3.\nAnswer: 2*y**2*(y - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 398 (c) 0.5 (d) -100 (e) -0.1 (f) -0.3 (g) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7840 = -4*k - 4*l, -8*k - 3*l - 7843 = -4*k. Round k to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 41881045, 41881046, 41881049, 41881054, 41881061, 41881070, 41881081?\n\"Answer: f**2 - 2*f + 41881046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 189.1 - 192. Let m = 1.9 + x. Sort -5, m, -1\/7, 2.\nAnswer: -5, m, -1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 6, -5, -7 in ascending order.\nAnswer: -7, -5, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -1\/15 (b) -3\/2 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.1. Let u = 0 - y. Let z = u + -0.0005. Round z to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.190247 minutes to nanoseconds.\nAnswer: 551414820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -30 + (1 - 8) - (-14 - -3)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*i**3 - 40*i**2 + 853*i wrt i?\nAnswer: 216*i - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.09 + 3.59. Let f = -1.2 + i. Are f and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29982*d*s**5*x + 27*d*s*x + d*x - 52*s*x + s + 5 wrt s.\nAnswer: -599640*d*s**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3871?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 - 78 + 134)*(-3*f + 3*f - 2*f**2)*(-f + 4*f + 0*f).\nAnswer: -864*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -193 + 192.847. Let a = -0.074 - j. Let l = -0.078963 + a. Round l to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(84) - (sqrt(84) - sqrt(84)*-2)))\/(2*sqrt(12)*4))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 9*l + 1017. What is h(-27)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 c when three letters picked without replacement from {c: 8, o: 4, m: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 29 - 7)*(-l**4 + l**4 - l**4) + 2*l**4 + 0*l + 0*l.\nAnswer: 57*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 - 10*n**2 - 3*n + 1. Let r = 21 - 14. Let g(t) = 5*t**3 - 21*t**2 - 7*t + 1. Let l = -1186 + 1183. Let a(c) = l*g(c) + r*s(c). Give a(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74647.3t to kilograms.\nAnswer: 74647300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 72\/(-140) + 4\/(-14). Let w = 26 - 24. Which is the biggest value? (a) u (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 147*f - 9803. What is m(-49)?\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 - o - 2. Let r(a) = 9*a**2 + 15*a + 45. Let d(f) = 4*n(f) + r(f). Determine d(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**5\/9 + 15985400*h**4\/9 - 1776156*h**3 - 15985400*h**2\/9 + 15985402*h\/9 = 0.\nAnswer: -7992701, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/24 and 145\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 5, a: 7, e: 2}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 5:19 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9052, 18048, 27056, 36082, 45132, 54212, 63328, 72486?\n\"Answer: c**3 + 8989*c + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 12*r + r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Which is the smallest value? (a) 4 (b) 1\/9 (c) -0.008 (d) 2\/7 (e) -21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + h. Let s(m) = 7*m**2 + 3*m - 1. Determine 5*f(p) - s(p).\nAnswer: -2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 2584789.\nAnswer: -2584788.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(2\/21))\/v)\/v**(-2\/27))\/(v\/(v\/(v\/((v\/(v\/(v**(-6\/11)\/v*v)))\/v*v)))*v**(-21)) assuming v is positive.\nAnswer: v**(40798\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 35*x. Let l(a) = -11*a. Calculate c(l(j)).\nAnswer: 121*j**2 - 385*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2 + sqrt(7) + sqrt(56)\/sqrt(8) - sqrt(7)) + -5 - (-3*sqrt(175) + sqrt(49)\/(sqrt(7) + sqrt(1008))))**2.\nAnswer: -2898*sqrt(7)\/13 + 308224\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((4 + -1*sqrt(1573) + 1 + 1 + sqrt(1573) - (-2 + sqrt(1573) + 0 + sqrt(1573) + sqrt(1573) + sqrt(1573) + 0 + 0))*-6 + 2)**2.\nAnswer: -24288*sqrt(13) + 908165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3950\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-70))\/(3\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10711.6309 rounded to the nearest 100?\nAnswer: -10700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795 is divided by (325\/39 + -6)\/(1\/18)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13744 - -15568. Calculate the remainder when l is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2093 - 2093.04. What is the closest to -0.1 in -0.4, 5, i, -2\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2400498343 to the power of 1\/2, to the nearest integer?\nAnswer: 48995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 327573046 and -0.121.\nAnswer: 327573045.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -92*j - 25. Let y = -73 - -46. Is t(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**2 + z**2 + 28*z**3 + 1 + 24*z**3 - 55*z**3. Determine l(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/67 - -337\/6030. Let n(o) be the second derivative of 0 + 2\/9*o**3 - i*o**6 - 1\/6*o**2 + o + 1\/15*o**5 - 1\/6*o**4. Factor n(a).\nAnswer: -(a - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - (20 - 10)) + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1 = 9. Suppose -8 - 1 = -3*v. Suppose -v*x = -0*x. Which is bigger: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77457.\nAnswer: 3, 25819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5287, -3793, -2269, -715, 869?\nAnswer: 2483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79.1 + -78.1. Sort d, -1.14, 1\/8 in decreasing order.\nAnswer: d, 1\/8, -1.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1118, 1123, 1138, 1169, 1222?\nAnswer: 1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 877 + 377 = -241 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -40 (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -4341?\nAnswer: -5\/4341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from mkkcorotokrrcokocok?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 11:42 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (6\/8)\/((-10)\/(-40)). Suppose i = -6*p - 332 + 11948. Suppose p = 14*f + 60. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 22*x + 85 = 46*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2344, 3068, 17746, 46316, 93404, 163636, 261638, 392036?\n\"Answer: 771*c**3 + 7*c**2 - 6*c - 3116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -151.5, -0.3, -598, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = -5*z - 42 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 3292 + 772. Let n be (455\/(-15))\/((-4)\/i). Round n to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 800, 802, 804, 806, 808, 810?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**3 + 4*k**2 + k**3 - k**2)*(0*k + 16*k - 3*k) in the form y*k + x*k**3 + p*k**2 + n*k**4 + a and give x.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148725446, -297450894, -446176342, -594901790, -743627238?\nAnswer: -892352686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55263, -220887, -496925, -883377, -1380243, -1987523?\nAnswer: -2705217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from akrkkraak.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9414128 divided by 2353532\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 167 - 158. Solve 5*v = 5*z + 40, 2*z = -3*v - 0*z + o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1 (b) 2\/9 (c) 8.3 (d) -2 (e) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 11. Let r be y(-7). Let f(v) = 131*v + 7. Let t be f(0). Solve -2*u - t = -r*q - 3, -3*q + 5 = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 440 - 283. Suppose -q*n + 1535 = -152*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -2*r - 11, -2*s - 916 = -918 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2389864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*b = 4*j - 357, 0 = 2*j + 3*b - 191. What is the greatest common factor of 220 and j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3634921867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1218, 3125, 5704, 8955, 12878, 17473?\nAnswer: 22740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.38 - 11.88. Which is the smallest value? (a) i (b) 0.1 (c) -2\/15 (d) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 z when four letters picked without replacement from qlqlqlzgjlmmqz?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - h = 4*h - 13, 0 = -90*b + 95*b + 3*h + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10101 (base 3) to base 13\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jliiicc. What is prob of sequence cl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Suppose -z = -k*l - 4*z - 12, -l - 3 = 2*z. Sort l, 3, -4 in ascending order.\nAnswer: l, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11617.9 - 11617. Let p = 7 + -6. Sort -0.4, a, -1\/7, p in descending order.\nAnswer: p, a, -1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {q: 4, o: 2, c: 3, n: 4, a: 3, v: 2}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1808*f**3 + 1960*f**2 + 5*f - 21. Let p(k) = 2711*k**3 + 2940*k**2 + 8*k - 33. Let m(r) = 5*p(r) - 8*w(r). Find the third derivative of m(v) wrt v.\nAnswer: -5454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 1090106?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 240?\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 10 + -5 + 2. Let q be (60\/(-55))\/r + (-1630)\/(-11). Calculate the highest common factor of 37 and q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, a: 2, p: 5}. What is prob of sequence qq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 - (-8 + -19 + 30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(66)*-5)\/(sqrt(6)*1*1).\nAnswer: -25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 387, 228, -221, -1104, -2565, -4748?\n\"Answer: -24*p**3 - p**2 + 12*p + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3320 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: Let c(g) be the third derivative of -g**8\/56 + 17*g**7\/105 + 113*g**6\/60 - 217*g**5\/30 + 15*g**4\/2 - 3*g**2 - 390. Let c(w) = 0. Calculate w.\nAnswer: -5, 0, 2\/3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 7:12 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*f - p, 3*f - 3 = 4*p - 0. Let y(q) = q**3 - 4*q**2 - 3*q - 6. Let a be y(f). Calculate the remainder when 47 is divided by -3*a*12\/(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5*m - 2 - 33*m + 249*m.\nAnswer: 211*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 20*w + 24. Let x be h(19). Suppose -x*q = 3*g - 842, -5*q - 741 - 91 = -3*g. What is the greatest common divisor of 62 and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59455421 less than -59455420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 499*n + 16220. Determine h(-35).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -4. Suppose 3*t - 2 = -59. Calculate the remainder when r is divided by (18\/(-3) + 3 + t)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 6*v - 96. What is the greatest common factor of v and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3509 + 1.7881. Let v = -126.961 - m. What is v rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105 + 454. What are the prime factors of p?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2358527542.279 and 1.7.\nAnswer: 2358527543.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*d + 159*d = 15*d - 464 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 10*m + 3. Suppose 2*g = -3*j - 14 - 16, -g = 5*j + 50. Calculate the lowest common multiple of 5 and s(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22\/17 - 169\/170. Suppose -7*n = -4*n. Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1866467 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 1 = 3, 5*t - l + 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -58, -0.1, 0.1, -41, 1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12971761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18143114 by -35.\nAnswer: 18143114\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {j: 1, p: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2556.668 to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2 + 248*c + 2070 = 0?\nAnswer: -115, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 6\/(-24))*(-5 - 11). Suppose 105*f = 100*f + l. Calculate the greatest common factor of 86 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 15*b**2 + 13*b - 18. Does 9 divide o(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 64, 71, 78, 85?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 125 and 275?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*q - 38*q + 10*q + 1.\nAnswer: 8*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*v - 13, -5*v + 11 = 2*l - 3*l. What is the derivative of -u**4 - 203 + 35*u**4 + 128*u**l wrt u?\nAnswer: 648*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a + 13*a + a**3 - 6*a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*k - 5296 = 715*k - 15028 - 17916 for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.1 - -11. Let p = -1.29 - -1.03. Let y = -0.16 - p. Is y less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213665 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 2\/17 (c) -1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1724 or 8627\/5?\nAnswer: 1724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5936)\/420)\/53*5\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13144082 minus 16.333?\nAnswer: -16.20155918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -7) + -64 + 20 + 38 + -4 + 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/14 + (-19)\/(-1064)*1. Which is the second smallest value? (a) -1\/3 (b) -2 (c) -0.007 (d) -3\/2 (e) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 - -11000000111?\nAnswer: 11000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - m**2 - m. Let x be j(-1). Let f(d) = 3*d - 2 + 1 + 0. Let c be f(x). Solve -c*b = -b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -35*z - 3. Give y(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -343529, -343662, -343795?\n\"Answer: -133*r - 343396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31598662.\nAnswer: 2, 15799331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-3 - -1)) + (-12 - -15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5610364*j**2 + 2764460.\nAnswer: -11220728*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -2211112?\nAnswer: -2211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3*1)\/(9\/(-6)). Let n(a) be the first derivative of 2*a**3\/3 + a**2\/2 - a - 18. Let b be n(k). Solve -b*f - 36 = -0*f - 4*p, f + 8 = p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, p: 2}. What is prob of sequence phhh?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 33.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6*(12\/(-102))\/((-180)\/1020)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 - 2) - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + -1 - sqrt(11)) + 0)**2.\nAnswer: -8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 95200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77615?\nAnswer: 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 56146 (base 7) to base 15\nAnswer: 42d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17906633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1589 divided by -2266\nAnswer: -1589\/2266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.54 + 0.1. Let i = u - -0.04. Let p = 44 + -41. Which is the nearest to 1\/3? (a) 0.1 (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 12106, -7 in descending order.\nAnswer: 12106, 9, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1229596 + 785540 = 37*b + 351690. Is 118 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:25 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 7*h - h + 3*h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 13 = -6 - 57. Solve -y*h - 33 = 28*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/(-12)*363\/(-242)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -606 - -120. Let m = -487.3028 - f. Let k = -1.3 - m. Round k to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.922 times -0.13\nAnswer: 0.11986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 16\/264 - (-68372)\/66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 10) to base 12.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven eighths of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + (-60 - -11 - -110).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9072) + -1)*-6*4)**2.\nAnswer: -41472*sqrt(7) + 5226048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7 - 10700\/(-952) - (-24)\/204 and (-1)\/(72\/(-10))*2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7.292488 meters?\nAnswer: 729.2488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 583, 1277, 2233, 3445, 4907?\nAnswer: 6613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62 - 137*s + 62 - 208*s to the form n*s + m and give n.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 74428381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 13 = 3*v. Determine p, given that -4\/7*p**v + 6\/7*p - 2\/7*p**5 + 6\/7*p**4 - 4\/7*p**3 - 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3544 divided by 8.\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**3 + 5*m**2 + 4*m - 4. Let o = 168 - 169. Let v(c) = c**3 - c**2 - c + 1. What is o*k(f) - 4*v(f)?\nAnswer: -2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -46f (base 16) to base 11\nAnswer: -942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s + 1 + 1 + 6. Let x be m(6). Let w be (-96)\/(-28) + (-4)\/(-7). What is the greatest common factor of w and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -21880 and 176\/95 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 758 + 862 = -c, 5*c = -o. Calculate the remainder when 1439 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/7)\/s**6)\/(s**(-3)\/((((((s*s*s**(-1)*s*s)\/s)\/s)\/s)\/s)\/s)))\/(s**(3\/8)*s\/s**7*(s\/((s\/s**1)\/s*s)*s*s)**(-16)) assuming s is positive.\nAnswer: s**(2715\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/10 and 71\/2470.\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (5 + (-98)\/21)\/((-2)\/(-198)) and 126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28238686891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22631\/64 - 707\/2. Let j = -5\/7749 - 343339\/309960. Calculate the common denominator of q and j.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Let f = 5712.7 - 5713. Let i = -6.08 - -6. Which is the closest to h? (a) f (b) i (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 701716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109\/44 + -30\/11. Let q = 0.5 + -2.5. Suppose 12 = 3*n - 2*t, 0*n - 4*t = -4*n + 16. Which is the third smallest value? (a) n (b) o (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -2 (b) -4 (c) -3 (d) 5\/6 (e) -6984 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 87*g**3 + g**2 - 9*g - 9. Let x be t(-1). Let m = -81 - x. Put 8, 2, m, -1 in decreasing order.\nAnswer: 8, m, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 1646239?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -27*b**2. Let a(u) = -20*u**2. Determine a(h(l)).\nAnswer: -14580*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 38449235\/73?\nAnswer: 38449235\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/207 and -54\/6730145?\nAnswer: 60571305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 2*a**2 - 3. Let r(i) = i**2. Determine r(u(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y - 8. Let u be g(9). Suppose 2*r - 5*p + 100 = -8*p, -2*r - 116 = -5*p. Let a = u - r. Solve a = -4*z - z - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (33067\/86)\/((-1)\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -787, -783, -779, -775, -771, -767?\nAnswer: -763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-14)*f)\/f)\/(f\/f**(1\/13)))\/(f\/f**(2\/15))**(14\/9) assuming f is positive.\nAnswer: f**(-28556\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85888 + -38582. Suppose -6*d + 132230 = v. Suppose 35*o + d = 41*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 6:56 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 29*c + 14. Let a(b) = b. What is a(w(f))?\nAnswer: 29*f + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 135423 (base 6) to base 4\nAnswer: 3021213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16296)\/(-44135))\/(12\/5).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*z**2 - 17*z**2 + 34*z**2.\nAnswer: 45*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 855187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33 + -10?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10000101?\nAnswer: 10000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 13*x**2 + 7*x + 10. Suppose 0 = 2*q - 2*m + 8, 3*q + 44 - 8 = -3*m. Let l be (30\/q)\/(6\/16). Let v be i(l). Round v to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 1 + 9. Let i be (106\/2)\/(h\/2) - -2. Let v = i + 53. Calculate the least common multiple of v and 31.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 4*s**2 - 2*s - 1. Let u be j(-2). Let n be (-3)\/(1 - -2) + u. Let a be 4\/n - (-18)\/(-120). Sort a, 0, -2\/5 in descending order.\nAnswer: a, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 9448?\nAnswer: 75584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 40. Let g be m\/(-6)*(-72)\/16. What is d in -g*d**2 - 5*d - 1 = 0?\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -23.8. Let k = r + -0.8. Let i = -1.9 + k. Which is the closest to -2? (a) i (b) 2\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 40*h**2 + h - 3. Let u(j) = -j**2. Calculate s(u(p)).\nAnswer: 40*p**4 - p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 3 - 11 - 37) + (47 - 36)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 6. Let d be f(5). Suppose -5*u + l = 1, 2*l = -u + d*l - 2. Suppose 3*m - 174 = -4*z, -3*m + 5*m + 2*z - 116 = u. Does 25 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2\/25 (b) -3 (c) -5\/2 (d) -1121 (e) 1 (f) 0.5 (g) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54622357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25879308 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2 = a, 5*a - 5*i = -0*i + 10. Suppose -3*t + 9 = -5*x + a*x, -4*t = -5*x - 15. Solve -k + 3*y = -t*y + 15, -4*y + 19 = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(49)\/(sqrt(567) + 1*sqrt(567))) - (-1 + (2*sqrt(560))\/(-1*sqrt(500))).\nAnswer: 1 + 31*sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 + 67*n - 6. Let i(r) = 5*r**2 - 100*r + 9. Determine -5*i(l) - 8*p(l).\nAnswer: -l**2 - 36*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*d - 0*d - 2692, d - 668 = 2*s. Suppose -2393 = -3*j - 2*x, 0 = -2*j - 2*x + d + 924. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o - 21. Suppose 0 = -a - 3*d, -5*a - 2*d - 3*d = 20. Let b be f(a). Solve s - 12 = 5*s - 4*r, 7 = -2*s + b*r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2147624 is divided by 232?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 - 86*r - 278. Give q(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 594410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 653 + -444. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -376\/7. Let t = 8\/21 + u. Which is the nearest to 1? (a) -4 (b) -0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -11*k + 64\/13*k**2 + 0 + 16\/13*k**3 + 1\/130*k**5 + 2\/13*k**4. Factor p(i).\nAnswer: 2*(i + 4)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + p - 9 = 4*n, 3*n - 16 = p. Let f = -26 + 23. Let v be (4 - (-65)\/(-15))\/(4\/f). Which is the closest to 1? (a) v (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 15*g + 60. Suppose -6 = -3*q - 0*q. Suppose q*a + 3*c = a + 5, 3*c - 10 = -2*a. What is the lowest common multiple of a and v(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 + 39 = 5*f - 2*o, -3*o = f + 22. Calculate the common denominator of (177 - -1)\/(-5 - f) and -52\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**5\/30 - 43*s**4\/18 - 10*s**3\/3 + 168*s**2 + 5184*s. Factor t(a).\nAnswer: -2*(a - 3)*(a + 4)*(a + 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k + 2*k + 2*a, 0 = 2*a. Let x = -1359 - -1361. Sort -0.1, k, -0.3, x in descending order.\nAnswer: x, -0.1, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 53*n**2 - 3*n + 170. Let k be o(53). Solve -17 + k = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-839233\nAnswer: 3356932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2 = 5*i - 8, 2*i - 60 = -20*o - 2*i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 30731677870 to the nearest one million.\nAnswer: 30732000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 685 + 1026. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -8*m + 4. Let n be 3 + 10\/m*3\/1. Calculate the greatest common divisor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510523191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*s**2 + 132*s**2 - 527*s**2 + 133*s**2 + 129*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-810)*-25)\/(6 - 68\/12).\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17754170.\nAnswer: 2, 5, 7, 19, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 5. Suppose 0*h = 3*h + 6, 3*z + 5*h = 11. List the prime factors of k(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/3)*a*a**(-1\/4))\/(a*a**(-2)*a)**(-25\/6))**(5\/16) assuming a is positive.\nAnswer: a**(145\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 319 + -317. Solve w - h = -6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**3*n + 1909314*b**2 + 158*b + 636449*n wrt b?\nAnswer: -12*b*n + 3818628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -14*z - 11*z + 19*z + z**2 - 6. List the prime factors of g(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*b**2*m**2 + 256*b**2 + 3*b + 3493*m**2 - 2*m + 389 wrt m.\nAnswer: 28*b**2*m + 6986*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44733627.\nAnswer: 3, 61363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 370\/130813 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {k: 3, e: 4, z: 6, b: 6}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(-5*sqrt(22)\/sqrt(2) + sqrt(11)).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, u: 3, p: 3, o: 4}. What is prob of sequence pojp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -2, -10.\nAnswer: -10, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 20\/(-28) + ((-1)\/7)\/((-218)\/1090).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1866 = -22*z - 4*z - 410. What is the remainder when 223 is divided by z?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 31\/5 of a microgram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*n - 2*n. Suppose -4*k + n*t + 10 = 0, 0*t + t = -k + 7. Suppose -l + 565 = k*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3*x = 1, 4*f + 1983 - 1987 = -3*x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 0 - (32 - 71). Suppose 0 = d*z - 25*z - 1728. Is 193 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1669 - 847. Suppose -5*o + 953 + b = 5*y, 0 = 2*o + 3*y - 707. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 168291214 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -118 - -119.197. Let r = 1.32 - y. What is r rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - -141.5. Let f = r + -203. Let s = -14\/9 + 31\/18. What is the nearest to -1 in s, f, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.4, -3, 1, -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3448.9997783 + -3449. Round j to five dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 - -64. Suppose -3*g - 2*z + 3*z + 37 = 0, w = 2*g + 3*z - 10. Suppose -2*y - 1206 = -g*y. List the prime factors of y.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 39.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 22*b = 5*j - 12122, 0 = j - 3*b - 2446. Calculate the highest common divisor of 8 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16895883 is divided by 293?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**5\/5 + 12*m**4\/5 + 2*m**3\/5 - 12*m**2\/5 = 0?\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - a + 12*a**3 - 11*a**3 + 7*a**4 - 8*a**4 to the form n + s*a**4 + d*a**3 + p*a**2 + h*a and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 569*q = -3*n + 572*q + 76998, 5*q = -3*n + 76950. What is the ten thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2956 and 3486602.\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -66 - 7?\nAnswer: -6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 5. Let o be i(-7). Suppose o*h = -h - 6. What are the prime factors of h + (0 - -6) - -24?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3852*d = -49275 - 35469 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = -18*m + 20*m. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c**3*p - 27*c**3 + 908*c**2*p + 275*c**2 - 2*c*p - 10*c - 2878132*p wrt c.\nAnswer: -30*c*p - 162*c + 1816*p + 550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 414396.\nAnswer: -414395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/21*62*(-3)\/4. Suppose 4*l - 242 = -i. Suppose 27 = 9*q - l. What is the smallest common multiple of 6 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6*y**2*(y\/y**(-6))\/(y**(-7)\/y))**(-7\/3) assuming y is positive.\nAnswer: y**(-161\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12780?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(4)*-2 - 4*sqrt(5)*-2.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in -3, 5, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fly when three letters picked without replacement from ilfyyylyfylil.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6609364 centuries to millennia.\nAnswer: 0.06609364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 39*a + 9 + a**2 - 17*a + 2*a**2 - 54*a. Give w(13).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 849725*-9.\nAnswer: -7647525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(4\/((-8)\/(-6))))\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkekkkkekk. Give prob of sequence kek.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 3*n - 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**3 + q**2 - 2*q + 1. Let s be -1*(1 - (1 - -1)). Let x be 0\/(-1) - s - -1. Suppose 4*b - 3*b + 1 = 5*h, h - 4*b + 15 = x. What is i(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002648662 to six dps.\nAnswer: -0.000265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*h - 7*h - 14, -2*b = 3*h - 3. What is the remainder when b\/((-3)\/(-23)) - 0 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22102202222 (base 3) to base 11\nAnswer: -103834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 11*h**4\/8 + 19*h**2\/2 + 18*h. Let v(t) be the first derivative of o(t). Let u(y) = 2*y**2. What is u(v(b))?\nAnswer: 2178*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c - 38 = -2*g, 2*c = -6. Let b = -16 + g. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q + 1. Let p be k(1). Let o(z) = z + 1. Suppose -2*l = -7*l + 4*d, -2*d = 3*l. Let t be o(l). Which is greater: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 7*u = -6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.54 and -68?\nAnswer: -36.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23687805.\nAnswer: 3, 5, 1579187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*i + 4 = -0, 3*x + i = 8. Suppose -3*t + x*t - 2*o = 272, 3*t + 3*o - 834 = 0. List the prime factors of t.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 13*z**3\/6 + 11*z**2 - 110*z - 12. Calculate q(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -19 + 6*i - 3 - 13*i - 35 + 28*i**2 + 0*i. Is a(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -128540 > -128528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in -10, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 2*w + 29. Let j be (-3 - -3)\/(-1 + 3). List the prime factors of d(j).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 4, h: 8, c: 8}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*h**2 + 13*h**2 + 2*h + 0*h - 15)*(-5 + 5 + 2*h).\nAnswer: -4*h**3 + 4*h**2 - 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) - (-61)\/7. Let x = z + -7. Let c(y) = -3*y**2 + y**x + 5*y**2. Let d(h) = -2*h. What is d(c(u))?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -574, -456, -224, 152, 702, 1456, 2444, 3696?\nAnswer: 5242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 527810 divided by -1\nAnswer: -527810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 648\/23 - 4444\/161. What is the closest to -2 in -0.07, 0.001, x?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27729*q - 27732*q - 146*q**3 + 83190*q - 27729*q - 58*q**3.\nAnswer: -204*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -138 - -136. Let g = 1.027 + -0.027. What is the smallest value in 10, g, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018589 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 104*j + 91*j - 185*j. Let o(m) = -12*m**2 + 10. Let r(g) be the first derivative of 4*g**3\/3 - 3*g - 16. Let u(n) = -3*o(n) - 10*r(n). Give u(d(i)).\nAnswer: -400*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 52*k**2 - 10 - 6 in the form f*k + r*k**2 + j and give r.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.04315*5\nAnswer: -0.21575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 555318 and 7774455\/14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 0)*(-6)\/2. Suppose 0 = -w + 2*n - 3*n + 3, -n + 7 = k*w. Suppose -x - w*i - 5 = 0, -25 = -3*x + 3*i + 5. Solve -10 = -0*f - x*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 709 = 3*a - z, -27*z + 16 = -31*z. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j**2 - 2*j - 102. What is r(0)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 6. Let l(k) = -k + 3*k - 5 - 2*k + 8*k**2 - 5*k. Let h be l(j). Calculate the greatest common divisor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12766 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: b\"What is the nth term of -1776, -3719, -5814, -8061, -10460, -13011?\n\"Answer: -76*n**2 - 1715*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 95895 - 27589 = 1663*h for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/7)\/i**(2\/9)*((i*i**4\/i*i)\/i)\/((i\/(((i\/i**(-4))\/i)\/i))\/i))**(-1\/88) assuming i is positive.\nAnswer: i**(-463\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p**2 - 29*p**2 + 56*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25.71 - -26. Let c = o - -0.01. Let x = 0.2999958 - c. What is x rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49643 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: Simplify l\/(l*l**(-1\/8)\/l*l*l)*l**(-6)*l**13\/l**(-4\/13) assuming l is positive.\nAnswer: l**(669\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + u = 0, 0 = -0*m + 2*m - u + 1. Let v = 5698 + -5689. What is the highest common divisor of v and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5676 and 258?\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*u**3 + 212851*u**2 + 26683188*u wrt u?\nAnswer: 180*u + 425702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 6. Let x be z(-6). Suppose x = -2*v - 3*f + 22 - 0, -f = -4. Suppose 0 = v*w + 7 - 62. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19)*1*2)**2 + (1*sqrt(76))\/sqrt(4).\nAnswer: sqrt(19) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 - 2*v + 41. Give q(-7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (14244\/9)\/((-50)\/525). Let d = p - -15105764\/909. Is -1 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 433 + -434. Put h, -3\/2, -10, 0 in decreasing order.\nAnswer: 0, h, -3\/2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2744.917 and 0.\nAnswer: 2744.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.139631441 take away 238?\nAnswer: -237.860368559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 184997 to the power of 1\/2, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13226.\nAnswer: 2, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 = w. Let u be 0\/(-3) - 4\/w. What is the closest to -2 in u, 1\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1000)\/320 - (3 + (-50)\/16). Which is bigger: 847 or s?\nAnswer: 847","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, f: 8, w: 1, v: 7}. Give prob of picking 1 v and 2 b.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**7\/2520 - s**6\/1080 + s**5\/360 + s**4\/72 + 5*s**3\/6 + 10*s**2. Let c(o) be the first derivative of b(o). Factor c(j).\nAnswer: -(j - 1)*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from {l: 3, g: 1, x: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127602 divided by -459.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, 5, -24 in descending order.\nAnswer: 5, -4, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47 - 94 - 361*j + 47)*(-2*j + 2*j - j) to the form z + a*j**2 + y*j and give a.\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57600 = -4*u + 10*u. What is u rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/1881*3)\/(6\/(180\/50))\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -254.06 - -258. Let u = 0.02 + 0.04. Let o = u + p. Which is smaller: o or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 652*u**3 + 547*u**2*v**3 - 10525*u*v**2 + 2*u*v - 8*v**3 wrt u?\nAnswer: 3912*u + 1094*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 3*o - o)*((0 + 1 + 1)*(4 - 4 - o) + 3*o - 2*o + 0*o - 2 - o + 2)*(3 + 1 + 2) to the form c*o**2 + u*o + d and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 4:44 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 9:32 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 64. Is 20 a factor of j(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 1) + 3 - 6. Let u(k) = -5*k - 7. Calculate the remainder when u(r) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-10)*h)\/h**(6\/11)*h**(-9)\/(h*h**4\/h))**(-24) assuming h is positive.\nAnswer: h**(5952\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2 and -15\/5893?\nAnswer: 11786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189.1*0.1.\nAnswer: -18.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.649398447 to three decimal places.\nAnswer: 2.649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2455*d**2. Let f(o) = 4*o**2. Calculate f(s(b)).\nAnswer: 24108100*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -17*l - 8. Let j(f) = -4 + 6 + 0 + 4*f. Suppose -a = -4*i - 24 + 6, a + 5*i + 27 = 0. Give a*y(h) - 9*j(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2*-35*(-132)\/616\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/420 and -22\/62055.\nAnswer: 248220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*v - 11 = 25, -4*u + v + 117 = 0. Suppose x - 2*s + 3*s - u = 0, 5*s = x - 60. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 7*o - 4*h - 610, o = -h + 208. Calculate the common denominator of o\/(-18)*9\/6 and 125\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 62. Let g = 28.98 - b. Let d = -2.02 - g. Sort d, -0.3, -2\/7.\nAnswer: d, -0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 201037804 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 16*b = 408600. What is b rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -9*w + 4*o - 10, -3*w = -o - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24709, -24746, -24805, -24886?\nAnswer: -24989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - 14\/(-2) - -10. Let f = 3 + n. Let o = 148 - 102. Calculate the remainder when o is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 463\/5 + -93. Let c = -552033 + 552038. Let g = 1.3 + -0.3. What is the biggest value in u, g, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31655, -126664, -285013, -506702, -791731?\n\"Answer: -31670*g**2 + g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voo when three letters picked without replacement from vtvuovpovt?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 132997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2677910.\nAnswer: -2677910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0, 1148, -0.2, 226\/7, -3, 1\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7163, 14531.3, -4?\nAnswer: -7163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 19*v = -60. What is the common denominator of (209\/(-66))\/(32\/v - -2) and (-4)\/(-12) + (-107)\/(-18)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j + 6*j - 2*j**2 + 7*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -526*n**3*u**3 + 504*n**3 - 2343*n*u**3 + 2*n*u**2 - 435*u wrt u?\nAnswer: -3156*n**3 - 14058*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2. Suppose 0 = -h*n - n - 12. Let v be 0 - (1 - (-15)\/n). What is the closest to 1\/4 in 3, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 331*a**3\/3 + 1089*a. Let j(q) = 3*q. Determine j(s(y)).\nAnswer: 1986*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - d**3 + d**2 + 1 + 3*d**3 - 1 + (6*d - 4*d - 3*d)*(2 - 2 - 4*d**2).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, d: 4, y: 5}. What is prob of sequence od?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 3:39 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -178162 > -178161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a hour in seconds?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - 11*f + 8. Let n = 16 - 22. Let u be z(n). Let k(q) = -q**2 - u*q - 3*q + 5*q. Let c(p) = -14*p**2. Calculate c(k(x)).\nAnswer: -14*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*g = 4*p + 36, -p = -g + 9. Which is the smallest value? (a) p (b) 0.8 (c) -2 (d) 2 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - 4.3. Suppose -2*n + 5*v = 8, 16 = 3*n - 7*n + 2*v. Sort -1\/2, n, q.\nAnswer: q, n, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3170851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 126225 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 3*d**2 - 1. Let o be m(3). Let b be 22 + 2*(o + 0). Solve -4*x - y = x + 5, 4*y + b = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 5*i + 35 = -4*j, -4*j + 5*i + 105 = 0. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - k - 1098. Determine v(-32).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**2 + 3647*c - 3645. Let p be i(1). Let u = 63.043 + -63. What is the third biggest value in u, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 85*i**3 - 2*i**2 + 1. Let l be z(-1). Let x = l - -772\/9. Let y = -0.2 + 0.15. Which is the third biggest value? (a) -2 (b) y (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-58)\/((-32)\/144*9). Solve m*j + 13*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 245 + -171. What are the prime factors of s?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 18 + 1)*(25 - 25 - 12*f**2) + f**2 - 2*f**2 + 0*f**2)*(-4 + 0 + 1).\nAnswer: -573*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/24*24\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 210\/(-10)*972\/21. What is d rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 84 or -9690?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2\/(w**5\/w*w))\/(w*w**(-2\/3)*(w*w**5*w)\/w))**(-2\/5) assuming w is positive.\nAnswer: w**(56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10439.\nAnswer: 11, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 62155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-120)\/96 - (-2546)\/8 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 679*m**2 + 2037*m - 21. Give p(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 4*x = -28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d**0)*d*d**(-2\/3))\/(d\/(d\/(d\/(d**(-5)*d*d)))*d*d\/(d\/d**1)*d) assuming d is positive.\nAnswer: d**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -4, -163, 4, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1472 and 3800.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 272235055 to the nearest integer?\nAnswer: 16500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from {l: 2, o: 1, u: 3, e: 2, g: 4}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + a = 21, -6*a + 21 = 4*v - a. Let l(y) = -6*y**2 + 0*y**2 - 5 + 5*y + 5*y**2. Determine l(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -352 and -0.1.\nAnswer: 35.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 4*n + 160. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/27163920 and -131\/5520.\nAnswer: 27163920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278212, -278263, -278314, -278365?\nAnswer: -278416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 17*s**2 + 10*s - 48. Let t be h(-16). Let m = 352 + t. Does 50 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7003 is divided by 2333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 - (27 - 68 - 32)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -y + 3017, 2413 = 4*w - 3*y + 4*y. What are the prime factors of w?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - k = 2, 236 - 237 = -u - k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 7*k**2 - 11*k - 14. Suppose 23 = 7*g - 40. What is the units digit of z(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -9*k**6 - 15*k**2 - 30. Find the second derivative of l(n) wrt n.\nAnswer: -1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 840\/13 + -13812\/221. Which is bigger: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*f, 4*y - 4*f + 3 = -17. Which is the second smallest value? (a) -5 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 60. Calculate the highest common factor of d and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(243) - (-3*sqrt(243) - sqrt(243))) + -1 - sqrt(243))*-3)**2*-5.\nAnswer: -175005 + 3240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10388232 is divided by 57?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 d, and 1 e when three letters picked without replacement from {z: 4, v: 1, e: 3, d: 2, y: 4}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 4*f - 2. Let h(k) = -513*k**2 + 628*k - 4. Let q(u) = -h(u) + 2*n(u). What is the second derivative of q(z) wrt z?\nAnswer: 1022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 - (-85 - -19) - 69\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 2. Let x be l(3). Suppose -4*z = 4*c + 15 + 5, z = c - x. Is (-2 + 127\/(-2))*c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -11*a. Let n(p) = -p - 1. Let d(b) = 6*b + 5. Let h(l) = -d(l) - 5*n(l). Calculate h(w(x)).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5873 + -5869. Solve p = -3*n - 5, 2*n + 2 = -g*p + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (sqrt(2)*1 + sqrt(2))**2*-3 + sqrt(2)).\nAnswer: -2*sqrt(2) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/25)\/(36\/30). Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1733 - -41617\/24. Let b(l) be the third derivative of -28*l**2 + 0*l + x*l**4 + 0*l**3 - 1\/60*l**5 + 0. What is the second derivative of b(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(153)*-2)\/sqrt(9) + 5 + 0 + sqrt(17)*5)**2.\nAnswer: 10*sqrt(17) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(37\/4)*t*t**28\/t*t assuming t is positive.\nAnswer: t**(157\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.487 - 0.143. Let t = 501.77 - 503. Let s = c - t. Which is bigger: s or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514799 is divided by 132.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 4:50 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -151. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.4090875.\nAnswer: 0.0818175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 1443 = -1421 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 3243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -2*h - 56. Calculate the remainder when (-15)\/(-255) - (24 + (-42198)\/221) is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssfsssfffsfsffsfsf. What is prob of sequence fssf?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -128 times 101\nAnswer: -12928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + -1 + (-29 - -28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 3650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 5*u + 7. Calculate the remainder when p(5) is divided by (-27 + 28)*((1 - 1) + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**1)*d)**(-27\/4)\/((d\/(d**(-6)*d))\/(d*d**(1\/3)*d)) assuming d is positive.\nAnswer: d**(-103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/29, 2\/9, -3\/8 in descending order.\nAnswer: 2\/9, 1\/29, 0, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616205 is divided by 271.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1016 divided by -1051\nAnswer: -1016\/1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a kilometer in meters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118.8 - 184. Let f = -69.2 - h. What is the closest to f in 3\/7, 0.4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005189\/282 - (2 + 10\/(-4)) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-2)*(-1)\/(-27)*-9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 18*b**3 - b**2 + b + 2. Let c(a) = -4139*a**3 - 10929*a**2 - 2*a - 4. Let q(v) = -c(v) - 2*d(v). Find the third derivative of q(f) wrt f.\nAnswer: 24618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s + 32. Let d be b(-6). Solve 0 = h + d*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257826*a = 257817*a + 657 for a.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, m: 6, j: 1, f: 2, v: 9}. Give prob of picking 1 f and 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*((3 + sqrt(1053) + (sqrt(1053) + -1 - sqrt(1053)))*-2)**2 + 3).\nAnswer: -25377 - 864*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*((-2 + 0 + sqrt(1331))**2 + (-5*2*sqrt(1331))**2).\nAnswer: -220*sqrt(11) + 672179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + 1*sqrt(200)*1 + -1)**2.\nAnswer: 240*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/8)\/((-2)\/(-28)). Let j(i) = i + 9. Let n be j(z). Solve -3*g + n*g = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44981293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -25*c + 285. Calculate j(12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007718 rounded to 5 dps?\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*f - 2*q - 3*q, 5*f + q - 16 = 0. Suppose -f*p - 1 = -9. Let b(k) = k**3 - k + 0*k**2 - 1 + 3*k**2 - 1 - k**p. What is b(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 73. Let u(d) = 7*d**2 + 39. Give u(z(m)).\nAnswer: 7*m**2 - 1022*m + 37342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9932*g = 155288 + 93012 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7030207 to the nearest integer?\nAnswer: 2651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12504 and 801989367.\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 1)\/2 + 3. Suppose -3*f = a*u + 80, 5*f + 2*u + 128 = -2*u. Calculate the common denominator of -11\/2 and 111\/f + -2 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*k**2 - 32 + 16\/3*k.\nAnswer: -2*(k - 12)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.098 take away 6190384?\nAnswer: -6190384.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -0.31?\nAnswer: 0.0186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -43 + 1 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -234.7205 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*p - 44, 2*p + 0*p + 3*c - 24 = 0. What is the remainder when 1 + (-100)\/(8\/(-2)) is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*c + 7 = -3*x, -2*c - 8 = -4*x. Find the common denominator of 8\/3 and (-1950)\/840 + x*-1.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11187817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 + 2*l - 5. Let s(g) = -g**3 + 1. What is -3*s(y) - t(y)?\nAnswer: y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -648, 20 in increasing order.\nAnswer: -648, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 4*q + 5*h, 0 = -0*q - 4*q + 4*h + 124. Suppose q*u = -u + 8092. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 211531757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*((-4)\/2 - -3). Which is greater: i or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(12) + sqrt(12)*1) + -5.\nAnswer: -5 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a - -756?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -77 + (-31 - -46 - -26)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q + 156. Let l be w(-22). Suppose l*z - 1 + 7 = 0, 2*j - 2*z = 28. Let y(v) = v - 20. Calculate y(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (7 + (-23 - -5) - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000188645 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 20 = 2*o. Let u be (-9)\/o + 2\/8. Which is the smallest value? (a) u (b) -4 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((4*sqrt(880))\/sqrt(5))**2*6.\nAnswer: -101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35245464 + -4?\nAnswer: -35245501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 4*i)*((i - 4*i + i)*(12 - 16 - 12) + (-4 + 5 + 1)*(i - 3*i + 0*i)) in the form l + b*i**2 + q*i and give b.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1, 1384, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7, 42, 85, 124, 147?\n\"Answer: -2*l**3 + 16*l**2 + l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4071 = -3*k - 3*n, 6*k - 5432 = 2*k - 3*n. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - ((-3)\/(-3) + -3). Let p = -21 + 20.95. Let t = p - -1.05. Put t, -0.2, d in decreasing order.\nAnswer: t, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*(12 + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/8 - (3 + 184\/(-64))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 61506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/41 (b) -0.5 (c) -4\/5 (d) 123 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 3, 1109 in descending order.\nAnswer: 1109, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*p**3 + 30*p**3 - 5*p**3 + 10*p**3.\nAnswer: 104*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403626?\nAnswer: 2, 3, 67271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 5. Let u be s(8). Let b = u + 34. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 1. Suppose 5*c - 4*l - 3 = 7, z*l = 2*c - 4. Suppose 5*b + i + c*i = 306, i = -3*b + 186. Calculate the remainder when b is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 - 52*d. Let w(z) = -3*z**2 + 5*z. Let a(o) = o**2 - o. Let m(r) = 5*a(r) + w(r). What is m(f(g))?\nAnswer: 18*g**4 - 624*g**3 + 5408*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 973 - 509 = -25*q + 4*q - 1342 for q.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 3*l - 3. Let c(g) = -g**2. Let s = -44 + 50. Let u(k) = 1 - 8*k**2 + 3 + 0 - s. Determine l*u(h) + 5*c(h).\nAnswer: 3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -33. Let f be 7\/(28\/(-6)) - 8565\/(-6). What is the second derivative of b*x**2 - 8*x - 1426 + f wrt x?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 4*v**2 - 2*v**2)*(-4*v + v + 5*v) + 3*v + v**3 - 3*v.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229891.6 + -552.22.\nAnswer: 229339.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 88348 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 103\/126 and 29\/265554?\nAnswer: 1858878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86 - 157*d + 52*d + 57*d + 374 + 49*d to p*d + m and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 + 127541?\nAnswer: 127560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-7*9720\/1764)\/((-2)\/(-14)))*-10.\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*x**2 + 8*x**3 + 17 - 37*x**2 - 28 + 1 to the form l*x**3 + f + z*x**2 + k*x and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 145*l**2 - 3*l - 2. What is the units digit of m(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3521.02 and 0.2?\nAnswer: 704.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.76 + -0.7. Suppose 2*z - 4 = c, 8*c - 35 = -z - 67. What is the closest to t in 3, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(91) - ((sqrt(91)*-2 - sqrt(91)) + sqrt(91)))\/sqrt(7) - (0 + sqrt(117) - sqrt(13)) - 4*(2 + sqrt(1053)*1)))**2.\nAnswer: 350*sqrt(13) + 15950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - 21 - (14 + -7)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2469508?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -0.026, -36, 2\/7?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19)\/(-3) - (-1)\/(-3). Let u be 0 + 2 + f + 2. Solve 2*q = 7*q - u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 22*t**2 + t - 34. Determine i(22).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (10\/(-20))\/(-4 - -3) + 284241\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 510*k + 2052. Give u(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least as big as 34\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/256 and -91\/256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + 0*d**2 - 3*d**2)*(6*d**2 + 3 - 3) + (0*d - 3*d**3 + 0*d)*(-1 + 1 - 2*d) + 0 + d**4 + 0.\nAnswer: 13*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 83*b + 2402. Determine h(-29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-15)*-3 + 15 - 1. Suppose -5*a + 12 + 8 = 0. Suppose 3*m = -4*w + 11, w - a = -m - 2. What is the highest common divisor of g and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -234020 to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9625 (base 12) to base 15\nAnswer: -4d15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2689440 is divided by 149411?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + ((-278)\/(-20) - 4)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 129 and 516?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6)**(2\/11) assuming w is positive.\nAnswer: w**(12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + t**2 - 2*t + 12. Let p = -97 - -97. Let g be o(p). Solve -4*v + 0*v = -g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21786939?\nAnswer: 3, 19, 43, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 + 15*i - 8. Let x(w) = 4*w**2 - 22*w + 12. Let j(n) = -7*l(n) - 5*x(n). Let h be j(-8). Let g = -12 + h. Solve 7 = -5*a - g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 32.34. Let j = -0.24 - t. What is the biggest value in j, -0.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119434 is divided by 250.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-52)*1)\/(2843\/(-8529))\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((111695\/(-1869) - -52) + 8\/(-14))*(-171)\/15?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-10)*14)\/1. Suppose 0 = -5*r + 3 + l. Solve -2*a = r*a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**5 - 9*a**4 - 128109*a**3 - 4*a**2 - 340948*a - 2 wrt a.\nAnswer: 60*a**2 - 216*a - 768654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 9 + -14 - -31?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 + 959*q - 7*q**3 - 959*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6*g + 18052 = 0, 3*g - 8 = 7*g. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56706*j + 56396*j - 3720 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*j - 81*j + 20*j**2 + 2*j.\nAnswer: 20*j**2 - 139*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -23*g**3 + 3*g**2 - 3*g + 3. Let q(b) = b**3 - b**2 + b - 1. Determine 3*q(k) + z(k).\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 247*f + 4331. Calculate o(-17).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92 or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1810*r + 344 = 1982*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**10\/2520 - m**6\/360 - m**3\/2 + m. Let x(w) be the second derivative of p(w). What is the third derivative of x(a) wrt a?\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4744925123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -261846 (base 9) in base 14?\nAnswer: -41c8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 16*b**2 + 43*b + 230. Calculate q(-18).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 0 + 3\/3 + 0. What is the greatest common divisor of n and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c**2*i*w**2 - 2*c**2*i*w + 7*c**2*w**2 + 6*c*i*w**2 - 138*c*i*w wrt w.\nAnswer: 8*c**2*i + 14*c**2 + 12*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 121*s**3 - 42334072*s**2 + 15394196*s - 1399472 = 0. What is s?\nAnswer: 2\/11, 349868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.1, 28, 13, -232?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83.4 - 83.4. What is the nearest to t in 2, -5, 0, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2056\/1799)\/((-3)\/(-6636)) is divided by 65.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 42\/41, 0.4, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 - 7*t + 6. Let x(s) = 4*s**2 - 8*s + 7. Let c(u) = 6*x(u) - 7*z(u). What is the units digit of c(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-1 - (-3)\/4. Let m be (-6)\/8 - -2*9\/24. Sort 0.5, m, i in decreasing order.\nAnswer: 0.5, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53000.77 litres?\nAnswer: 53000770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**6\/120 - 8*q**5\/15 + 11*q**4\/8 - 6*q**3 - q**2. Let x = 14605 + -14574. What is the remainder when 129 is divided by t(x)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6882365 is divided by 2294079.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -7*i**5\/120 + 5*i**4\/6 - 17*i**3\/3 - 14. Let y(o) be the third derivative of q(o). What are the prime factors of y(-9)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2093 - -1967) + 92 + -5?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 53, -2\/5, 1 in decreasing order.\nAnswer: 53, 3, 1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3174 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1615)\/(-170))\/((6\/844)\/3)?\nAnswer: 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 - 1006*m\/7 + 4980\/7.\nAnswer: 2*(m - 498)*(m - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 3*a**2 + 5*a - 3. Let b be m(-5). Let g = 8 + b. Let d = -17 + g. Solve d = -4*s + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4131*p + 4131*p + 46*p**3 + (3 + 1 - 3)*(10*p**3 - 9*p**3 + 17*p**3).\nAnswer: 64*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 46.094*2\nAnswer: 92.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**3 + 19*s**3 - 53*s**3.\nAnswer: -17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 70 and 259?\nAnswer: 18130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1639?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2641377.903 rounded to the nearest 100000?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1746 - 0)*(40\/(-3))\/8. Let y = b + 4651. What are the prime factors of y?\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1775 * -0.3.\nAnswer: -532.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1138881.6 months to decades.\nAnswer: 9490.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 0*s - 15. Let g = 6 - 4. Let w = 0 + g. What is the smallest common multiple of w and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19895 by 7.\nAnswer: 19895\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 561.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/11635 + -111872\/11635. Let i = b + 1115\/143. What is the common denominator of (17*2)\/(7\/(-1)) and i?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*k - 57*k - 28*k - k**2 + 140*k.\nAnswer: -k**2 + 27*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73\/7347 + 495302830\/7347. Let f = 66778 - k. Let o = f - -645. Which is smaller: 7 or o?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.96 - -0.66. Put b, -4\/3, 4, -1 in decreasing order.\nAnswer: 4, b, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17515 (b) -3 (c) 19\/2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -79 - -14241\nAnswer: 14162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*d**5 + d**4 - 100*d**2 - 953*d - 10?\nAnswer: 680*d**3 + 12*d**2 - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13339039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176922, -707426, -1591600, -2829444, -4420958, -6366142, -8664996?\nAnswer: -11317520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5, -61, -165, -301, -463?\n\"Answer: d**3 - 25*d**2 + 2*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**4 + 23210*x**3 + 2714380*x**2 + 5335960*x = 0. What is x?\nAnswer: -4522, -118, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4340 + 32?\nAnswer: -430a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighteen fifths of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 16 = 2*i. Suppose v - i*v - 114 = -4*l, 5*l - 148 = v. Suppose -3*x + 80 - 26 = 0. Calculate the remainder when l is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 45442, 90883, 136324?\n\"Answer: 45441*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -29*a**3 - 13*a**2 - 13. Suppose -3*s + 27 = 2*k, -3*k - 48*s = -50*s - 8. Let c(r) = -7*r**3 - 3*r**2 - 3. Give k*z(y) - 26*c(y).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1173 + -1176.804. Let a = -3.3 + -0.7. Let o = b - a. Round o to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53 + -2330241?\nAnswer: -2330314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4875 = -11475. What are the prime factors of t?\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 14 - 4 = p, -3*p + 37 = 4*m. Let s(x) = -x**2 + 10*x - 17. Suppose -2*i = 23 - 61. Calculate the remainder when i is divided by s(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 2 + 0 + 12. What is the remainder when 2 is divided by d(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 1 + 1 - 2 - h + 2 + (-h + 4*h - 2*h)*(3 + 2 - 6))*(51 - 22 - 2 + (8 - 2 + 0)*(-2 - 2 + 2)).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 0*f + 3*f - 6*f + (-9*f + 29 - 29)*(4 + 15 - 21)*(4 + 0 - 3))*(-3*f + 6*f - f) to s*f**2 + r*f + z and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 5 + (11 + -15 - -1) + 65.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-516)\/(-10))\/(9\/30). Suppose 5*t - 196 = 2*q + v, -284 = -4*t - q. Let c be 3*3 + 6 + -7. What is the highest common factor of c and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 47*c + 15851 = -4721. What is the remainder when c is divided by 166?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.81039 rounded to two decimal places?\nAnswer: -37.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*j - 1969 = -84*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + t + 0*t)*(5*t**2 - 11*t**2 - 7*t**2)*(-2*t**2 - 2*t**2 + 3*t**2).\nAnswer: 65*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425793?\nAnswer: 3, 141931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from {m: 2, x: 1, l: 3, f: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -30370, -0.13 in decreasing order.\nAnswer: 0.4, -0.13, -30370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -194095*b**3 + 3*b**2 - 21*b - 1210 wrt b.\nAnswer: -1164570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, -1\/162, -0.2, -0.32 in increasing order.\nAnswer: -0.32, -0.2, -0.13, -1\/162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 337186 and 277435516.\nAnswer: 277772702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 50, 47 in increasing order.\nAnswer: -12, 47, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120206855?\nAnswer: 5, 23, 1045277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j - 10. Let u(m) = -m - 1. Let i(r) = 2*k(r) - 10*u(r). Let y be i(-4). Suppose 5*o + 2 = y*o. Solve 2*a = -o*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -8 + 17 + -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 8 = 3*q + 10, 0 = 2*r + q + 14 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 6*r**2 - 4*r + 2. Suppose -4*q - 8 = -6*q. Suppose -5*i + 3*i + 8 = 0. Calculate the least common multiple of y(q) and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-704)\/(-1584))\/((-2)\/(-27))*(-74)\/(-12)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1065, 17\/5, 4?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -2)\/(-3 - (-32)\/11). Suppose -1380 = q*d - 26*d. Sort 5, d, -2 in descending order.\nAnswer: d, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30*(1 - (-3)\/(-9)) and 2252?\nAnswer: 11260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 2*m**2 + 12*m + 19. Let h be c(-5). List the prime factors of (h\/(-4))\/(4\/((-16)\/2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 12*j**2 + 28*j - 1. Let u = 425 + -411. What is i(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12, -26, -48, -78, -116, -162, -216?\n\"Answer: -4*q**2 - 2*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3222 is divided by 3169?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 3*m**2 + 2*m + 1. Let q be o(-2). Let u(f) = 2 + 0 + q + 4*f + 253*f**2 - 24*f**2. What are the prime factors of u(-1)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*p**5 - 9171*p**4 - 3*p - 830?\nAnswer: 220*p**3 - 110052*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1461794, -1461749, -1461704, -1461659, -1461614, -1461569?\nAnswer: -1461524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 340353941 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -125174.91 rounded to the nearest one thousand?\nAnswer: -125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k**2 - k. Let f be y(-2). Let o(p) = p + 2. Let a be o(0). Let x be a - (-9 - 2)\/1. What is the highest common factor of x and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 10232*i - 40920. Determine u(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*a = -68*a - 39*a + 192 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-108)\/126*29372\/(-12)?\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 2*k - 5. Let c be (-8)\/(-6) - 68\/6. Let f be (2 - (-24)\/c)\/(14\/(-175)). Determine h(f).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*y - 0. Let m be 9\/21 - (-3034)\/(-1722) - 3\/(-9). Let z be (18\/120)\/(24\/10). Which is the third smallest value? (a) y (b) m (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x\/(x*x**(-23)\/x*x)*x*(x*((x\/x**(-2\/81))\/x)\/x)\/x*(x\/(x\/(x\/(x*x**(-1\/7)*x*x))*x))**(-2\/47) assuming x is positive.\nAnswer: x**(670123\/26649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (4 - 4) + 4. Suppose -2 = -z, 5*z = -3*j - 5 + 30. Let a(k) = -k - 3. Let d be a(-3). Solve -4*l = 5*h - 30, 5*h + d*l + j = c*l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1912\/20 + 4\/10. Let j be (-42)\/(-9)*18\/7. Calculate the greatest common divisor of i and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158675?\nAnswer: 5, 11, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4789 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-300)*-12*-9*1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from xxxggxx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 - -56. Which is smaller: q or 0.03?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17538 is divided by 8688.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 799715 and 46637.\nAnswer: 119157535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -5, -2\/89, -4\/7, -7, 7?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (32 + 1292\/(-40))*10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1060\/6101, 2, 4\/3 in descending order.\nAnswer: 2, 4\/3, -1060\/6101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4841 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -483*m + 378 - 20664 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 9:31 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -39395*a - 118266. Give t(-3).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105034.\nAnswer: 2, 52517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 576\/42 - (-2)\/7. Suppose -215 - 9 = -8*b. Calculate the greatest common factor of b and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 18914 = -f, 282*x - 75664 = 278*x + 3*f. What are the prime factors of x?\nAnswer: 2, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27791653?\nAnswer: 857, 32429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 5*t + 21, -23*c + 43*c + 3*t - 8 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 110.04 (c) -4 (d) 1\/3 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z - 202 + 202.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4 + 2*o**2 + 0 - 7*o - 3 + 2*o**2. Does 37 divide d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*((-112)\/(-110) - 1). Let z = -39\/110 + n. Calculate the common denominator of -81\/10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*m + 312, 3*c - 4*m = -2*c + 484. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d**(-4\/5)*d))\/d**2*d**(1\/5)*d*((d\/(d*(d*d**(1\/5))\/d*d))\/d*d)\/d)\/((d**0)**(11\/4)\/(d**(-4)\/(d\/d**(-5)))) assuming d is positive.\nAnswer: d**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 + 0*j + 2*j**3 + 0*j + 2*j - j**3. Let i be r(-3). Suppose -50 = -5*h - 3*c, i*c = -2*c. Calculate the remainder when h is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -18*m**2. Let f(x) = -15*x. What is f(u(g))?\nAnswer: 270*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s + 1. Let m = s - 1. Solve 2*a - a + 1 = m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 661084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**3 + 26*u**2 + 27*u + 2. Let d(c) = 3*c**3 + 8*c**3 - 1 - 12*c**3 + 0*c**3 - c**2. Let q(l) = 4*d(l) - s(l). Determine o, given that q(o) = 0.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*f + 180 = -161*f. Solve -2*n = 2*c + f, -n - 4*n = 4*c + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.74828 months in millennia?\nAnswer: 0.00814569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 48104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 0.5 (c) -2 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c - 14*c**3 - 8*c)*(-6*c - 2 + 4*c + c).\nAnswer: 14*c**4 + 28*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 152*g**4 + 5*g**3 + 3780.\nAnswer: 608*g**3 + 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015 divided by -35?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 61*c. Let n(q) be the second derivative of q + 1 + 0*q**2 + 0*q**3 - 1\/12*q**4. Give n(u(l)).\nAnswer: -3721*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/4 - 6842*v - 46812964.\nAnswer: -(v + 13684)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 198?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 65*a**4 + 70*a**4 - 149*a**4 + 1 + 31*a**3 + 27*a**3 + 35*a**3 to the form f*a**3 + b*a + s*a**2 + h*a**4 + t and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 118?\nAnswer: -5\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 16. Let n = -21.78 + 1.38. Let j = -20 - n. Which is the second smallest value? (a) q (b) 2\/11 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.94 - -0.06. Let d = 2.6 - 0.6. Let i be (6\/(-12))\/(-3 - 36\/(-8)). Which is the nearest to 0? (a) d (b) p (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.01, -0.3, -10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 7*t**4\/24 + 7*t**3 + 2230*t**2. Let s(g) = 4*g + 21. Determine -3*r(a) + 5*s(a).\nAnswer: -a - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*t - 1798 + 1798.\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 204089?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 828706 to the power of 1\/2, to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26592874?\nAnswer: 2, 7, 11, 172681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 1.3. Let h = -0.6 - m. What is the second biggest value in h, -1\/2, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 + 4*l - 6. Let c be y(4). Let k = -3 - -1. Let h = c - k. What is the highest common divisor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + g**2 - g + 69. Let u(t) = 4*t**3 + t**2 - 6*t + 210. Let k(x) = -3*r(x) + u(x). Let b be (-4)\/3*6\/(-4). Determine k(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 153*d**3*u**2 - 94*d**3 - 6*d**2*u**2 - 2*d*u**2 + 73*d*u + d - 5*u**2 + 11*u wrt d?\nAnswer: 918*d*u**2 - 564*d - 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -1020312022301?\nAnswer: 1020312022300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + (0 + sqrt(1539) - sqrt(1539)) + 2)*-2 - -6*(3 + -1*sqrt(1539) + sqrt(1539) - sqrt(1539)).\nAnswer: -72*sqrt(19) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/9 + 2312*n\/9 + 46550 = 0. Calculate n.\nAnswer: -931, -225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**3 + 2*a**2 + 2*a. Let m(w) = 48*w**3 + 33*w**2 + 33*w. Give -4*m(j) + 66*z(j).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 - 2*f**3 + 2*f**3 + (9*f**4 - 25*f**4 + 5*f**4)*(1 - 3 - 5).\nAnswer: 79*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365 a factor of 179451090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20373 plus 59?\nAnswer: -20314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4))**(6\/5))**(5\/7)\/(d**(1\/7)*d*d*d*d*d*((d\/d**(2\/3))\/d)\/d*d)**(7\/9) assuming d is positive.\nAnswer: d**(-1235\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 875\/70 - 6586\/(-148).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21871577*s**2 + 2954*s - 1231?\nAnswer: -43743154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 c when three letters picked without replacement from ccmggqcvgmmdmm?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90138 and 44820?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z - 2*z)*(2 - 6 + 3) + 9*z + z - 2*z + 2*z - 5*z + 2*z + (0 + 4 - 2)*(1 + 2*z - 1) + 4 - 4 - z + (0 + 1 - 3)*(2*z - 2*z - 2*z).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3*z\/((z\/(z**7\/z*z)*z)\/z))**16 assuming z is positive.\nAnswer: z**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 4951842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -7 + (-3 - -28) + -9.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = q - 1010, -q = f - 3*q - 202. Let s = f - 67. Is s a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 8:55 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 397084 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4009*c**4 + 2*c**3 - 3245*c**2 wrt c?\nAnswer: -96216*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3029703755 to the nearest integer?\nAnswer: 1447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7127623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3))\/s*s*s**(-1\/9)*s\/(s*s**(-2\/3)*s*s)*s**(2\/3) assuming s is positive.\nAnswer: s**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 13*y**2 + 14*y + 8. Let d(m) = m - 15. Let i be d(10). What is the tens digit of o(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*b**4*w**3 + 2*b**4 + 495*w**3 wrt b.\nAnswer: -124*b**3*w**3 + 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 9:48 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 510\/(-125) + 2216\/200 + -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a**3 - 2*a**2 - 4*a + 3. What is the remainder when c(-2) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*j - 105, -2*j + 14 = 2*l - 44. Suppose 4*v + l = 9*v. Suppose -4*n - 84 = -4*r + 144, 5*r + v*n = 335. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(700))*6 + (2 + sqrt(175) - sqrt(7))*-1.\nAnswer: -14 + 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x. Let q be k(4). Let s be 7\/(-3) + 10\/30. Put q, 4, s in ascending order.\nAnswer: s, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361392.2 grams in tonnes?\nAnswer: 0.3613922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 72772, 72773, 72774, 72775, 72776?\n\"Answer: m + 72771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**3 - l**2 + 1. Suppose 9*z - 728 + 719 = 0. Determine x(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 72*a**2 + 6*a + 5. Let k be v(5). Let m = k - 358. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7\/24, 2\/5, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -113 or -118?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 19724.64 weeks?\nAnswer: 11929462272000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -887439, -887319, -887199?\nAnswer: -887079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416*b**3 - 416*b**3 - 427*b**3 + 1238*b**3.\nAnswer: -21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -5*r + q + 59, 24 = r - 3*q. Let f = r + -13. Suppose 0 = 2*d - 2*i - f, -d - i = i + 5. What is the remainder when 18 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4, 2*h - 15 = -3*d + 41. Let t be (8\/d)\/(2\/30). Suppose 0 = -2*p - p + t. Solve -p = 4*q - 3*v + 11, -3*q + v = 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34631*d + 17320*d + 17307*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {n: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38907 + -12419. List the prime factors of d.\nAnswer: 2, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -394 > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 912415\nAnswer: 1\/182483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1615367 is divided by 397?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -848 (b) -0.02 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 11:47 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -h - 54 + 502 + 2*h**3 + 10*h**3 - 15*h**3 as u + n*h**2 + y*h**3 + p*h and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 2, f: 4}. Give prob of picking 2 f.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(2\/5))\/t)\/t)**(3\/16)*(t*t\/(t*t**(-7)))**(-11\/3) assuming t is positive.\nAnswer: t**(-7067\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-one fifths of a centimeter?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + d**2 - 1. Let j(o) = 2*o**3 - o**2 + 3. What is -j(m) - 3*y(m)?\nAnswer: m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(28)\/sqrt(4) + sqrt(7) + 5)*-3.\nAnswer: -12*sqrt(7) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (18 - (32 - 15)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 50*f - 55*f. Let x = f - 18. What is the smallest common multiple of 3 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20808)\/(-51884))\/51)\/(1\/7*-3).\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 353*l + 2081. Determine t(-6).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 25*j**3 - 10*j**2 + 120*j.\nAnswer: 5*j*(j - 4)*(j - 3)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 2*r + 3*r + 5*r - 2*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -41. Suppose -42 = 3*w - 4*w + 2*s, -4*w + 4*s + 188 = 0. Let j = 120 - w. Calculate the highest common factor of j and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85511?\nAnswer: 233, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let r(p) = 5*p**2 - 35. Give r(a(z)).\nAnswer: 5*z**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4555977 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + -114 + 142 + -98.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 13) to base 6.\nAnswer: -15003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2138 minus -12.331?\nAnswer: 2150.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = -1. Suppose 4*x + y*a = 2291, -67 + 644 = x + 5*a. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.054 + -5.146. Let w = 5.2 + p. Which is smaller: w or -0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 19*u - 21*u + 37)*(2 + 1 + 0)*(5 - 13*u + 15*u - 3).\nAnswer: -12*u**2 + 174*u + 186","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 + 440*n + 12100.\nAnswer: 4*(n + 55)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + (4 - 5))\/((-3)\/(-41)). Let h = c + -32. What is the derivative of 86*g - h - 73*g - 8 wrt g?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 19 + 10*s**2 - 18 - 11*s - s**3 + 5*s. Does 7 divide p(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 5 + 0*c - 4\/5*c**5 - 4*c**2 + 2*c**4 + 4\/3*c**3. Factor v(l).\nAnswer: -4*l*(l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 6:47 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**4 + 2*y**3 + 5. Suppose 6 = -2*q, -3*o - 2*q = -11 + 2. Let z(k) = k**4 - k**3 - 2. Let c(m) = o*z(m) + 2*f(m). Factor c(j).\nAnswer: -j**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6.636936 seconds?\nAnswer: 0.1106156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -18070 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five quarters of a decade?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -q - 2, -2*j + 4 = q + 7. Suppose 5*w + v - 1 = j, v - 2 = 5*w. Suppose 7*h - 45 - 165 = w. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 1:49 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(7) - sqrt(35)\/sqrt(5) - sqrt(7)))**2*1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1636, 2176, 3086, 4372, 6040, 8096?\nAnswer: 10546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 571, 1139, 1707?\nAnswer: 2275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/2*(-24)\/15. Suppose 0 = -c*b + 448 - 172. Calculate the highest common divisor of 23 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -107*i + 102*i. Suppose -2*k + 8 = 3*u - i, 2*k = u - 8. Solve u*x = -5*j - 1, 2*j = -j - 5*x + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**2*l + 17*j*l - 46*j*p + 300*l*p - 2*p wrt j.\nAnswer: 4*j*l + 17*l - 46*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49986?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0, 2, 1.1, 2180, 4.\nAnswer: 0, 0.2, 1.1, 2, 4, 2180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 4*j**2 + 0*j**2)*(2*j**2 - 6*j**2 + 3*j**2) + (4*j**3 + 7*j**3 - 2*j**3)*(3 - 11*j - 3).\nAnswer: -98*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 0*u**3 + 1 + u**3 + 0*u - 2*u. What is the remainder when s(2) is divided by ((-11)\/33)\/((-1)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2963 and -97.\nAnswer: -28.7411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t - 16. Let k be j(-7). Solve 13 = -k*m + 4*a - 8, -4*a = -3*m - 19 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4)**(-29))**(-9) assuming a is positive.\nAnswer: a**1044","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:19 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -18, -4, 148, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2862903 is divided by 1686?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 7:48 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 - 34*v + 66. What is o(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from ttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 2*z**2 + 4 + 60*z**2 + 252*z**2 + 54*z**2 as h*z**2 + f + v*z and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -188 - 2?\nAnswer: -18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/2 - (-3 - 1). Solve -r*d = 2 + 10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -2817, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 250707 - 250064.998848. Let i = -642 + w. What is i rounded to five decimal places?\nAnswer: 0.00115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 0*f**3 - 2*f + 0 + 0*f**4 - 1\/20*f**5 - 3\/2*f**2. What is the derivative of h(x) wrt x?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -767b16 (base 15) to base 6.\nAnswer: -321000320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 2. Let q be b(3). Let l = -116 - -549. Let y = l + -431. Sort q, y, 4, -4 in descending order.\nAnswer: 4, y, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -46. Suppose 2*v - 40 = -2*z, v - 8*z = -4*z + 5. Let k = u + v. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -7*m + 3*m, -4*p - 32 = -4*m. Suppose w = 3*w + m*b + 144, -b = -4*w - 252. Let x = -25 - w. What is the remainder when x is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.304 + -0.034. Let l = 1.27 - u. Which is the closest to l? (a) 0.5 (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5\/244?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/9, -2909, -13, -3\/5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 14. Let b(k) = 5*k. Let p(o) = -o**3 - 2*o**2 - o + 1. Let f be p(-2). Let n be b(f). Solve i*l - n = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 4, -12 in ascending order.\nAnswer: -12, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 255 + -224. Suppose 105 = u*b - 28*b. What is the highest common factor of 20 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*o - 39 + 28 = 0, -2*o = 8. Let y(c) = 0*c - 2*c + 1 + 3*c - c**2. Let b(f) = -f**3 + 3*f**2 - 5*f - 5. What is z*b(v) - 5*y(v)?\nAnswer: v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7562 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: Work out 1.49244 + 0.15.\nAnswer: 1.64244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*1 + 8610\/2142. Let c = -523 + 527.86. Let h = 0.14 + c. Put k, -4, h in descending order.\nAnswer: h, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 103, -72, -529, -1268?\n\"Answer: -141*r**2 + 248*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 9*q - 26 + 0*q**2 + 2\/3*q**3. What is the first derivative of w(c) wrt c?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1289229.\nAnswer: 3, 17, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 20 = -6*k. What is the remainder when 11 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*d - 66*d**2 - d**3 + 4*d**3 + 16 + 62*d**2 + d**3 = 0. Calculate d.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 7*k - 8*k - 100 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8235\/(-5285) - 4\/(-2). Let j = 2\/151 - p. Put j, -3, -2\/7 in increasing order.\nAnswer: -3, j, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9757804 millilitres?\nAnswer: 0.0009757804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-1)*(1 + 0). Suppose z - 5 = -r*z. Let g = -14 + 14.1. Which is the nearest to g? (a) z (b) -2\/15 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2050 - -8139\/4. Let k = 31\/2 + c. What is the third smallest value in -0.1, 2\/5, k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 443, 4, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 l, and 1 p when three letters picked without replacement from ppprprlllllllrllrpl.\nAnswer: 200\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 189 and 3456?\nAnswer: 24192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*10\/(-35)*1\/3.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2094*f**3 - 3*f**2 - 15*f + 17. Does 7 divide g(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 3:32 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x - 3. Let w be g(2). Let j be ((-3)\/w)\/(6\/(-42)). Let b(l) = 2*l**3 - l - 1 - j*l**3 - 3*l**3 - 3*l**2 + 3*l**3. Give b(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f - 39. Let i be -2 + -4 + (1 - -12). Let b be q(i). Let x(m) = m**3 - 11*m**2 + 11*m - 9. Let c be x(b). Solve -3*d = 2 + c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f**3 + 77*f**2 - 525*f**2 + 211*f**2.\nAnswer: 19*f**3 - 237*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 14 + 2*j + 9 + 0*j. Let m be x(-10). Suppose 2*t - m*t + 30 = 3*s, -3*t - s = -114. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11022122010220 + -12?\nAnswer: -11022122011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 + 6*c**5 + 6*c**3 + 12*c**5 + (0*c - 3*c + 0*c)*(-4*c**4 - c**4 + 3*c + 6*c**4).\nAnswer: 15*c**5 + 5*c**3 - 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 5\/6, -0.5, 2\/19, 93\/5, -7.2, -4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a hour in seconds?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q\/(q\/(q**(-2\/9)*q)))\/q*q)**23*q**(-2\/7)\/q**(-2) assuming q is positive.\nAnswer: q**(4133\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131374.\nAnswer: 2, 19, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ummmpapxpusap. What is prob of picking 1 x, 1 s, and 1 u?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 138938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 280623?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 5:40 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w - 2. Let z be 1\/(3 + w\/(-1)). Let l be 4\/(-14) - (-48)\/70. Put l, 0.3, z in increasing order.\nAnswer: 0.3, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2559870555 and 1210.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, x: 3, u: 3, t: 1, b: 3, w: 1}. Give prob of picking 1 t, 1 x, and 2 a.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 1143a4?\nAnswer: -1143a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express r - 31*r**3 - 101*r**2 + 14*r**3 + 6*r**3 + 13*r**3 as v*r + k*r**2 + i + b*r**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -8*i**3\/3 - 9*i + 3. What is the first derivative of f(d) wrt d?\nAnswer: -16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1098*y + 23562 = 211*y for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55065?\nAnswer: 3, 5, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -41. Let v be 1*(3\/l + 4). Suppose v*p - 13*p = 0. Solve 9 + p = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by -463.\nAnswer: 111\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/103)*y**(1\/24)*y)**(-7) assuming y is positive.\nAnswer: y**(-35665\/2472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2117?\nAnswer: 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6293306, -6293306, -6293304, -6293300, -6293294?\nAnswer: -6293286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/3024)\/(1\/(-6)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*f + 95*f - 752 = -18*f. Let k(b) be the second derivative of -4*b + 0 + 5\/16*b**f - 5\/2*b**2 + 1\/16*b**5 + 0*b**3. Factor k(h).\nAnswer: 5*(h - 1)*(h + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*l + 2, -5*l = 3*b + 4 - 26. Let o = -4\/39 + 25\/117. Put o, b, -5 in increasing order.\nAnswer: -5, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -2. Let v = 1 + h. Let l(t) = -2*t - 9. Let z be l(-7). Solve 6*c - c + z = v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 155, 481, 1031, 1811, 2827, 4085?\n\"Answer: z**3 + 106*z**2 + z + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(3)*1) - (sqrt(720) + sqrt(45)))*1.\nAnswer: -14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -1080*t + 810. What are the prime factors of n(-6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 279*v**2 - 21*v**3 - 279*v**2 + 9. Let c(n) = 5*n**3 - 2. Let u(t) = -7*t + 5. Let a be u(1). Give a*d(q) - 9*c(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2492828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -2 + -1 + -1*sqrt(931)*-2 + sqrt(931))**2.\nAnswer: -168*sqrt(19) + 14905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374341089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1814895 divided by -604965.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 5. Let m(h) = 1. Let s(q) = 6*m(q) - u(q). Let b be s(-6). Sort b, -0.5, 0.2.\nAnswer: b, -0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -66, -102, -162, -252?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 384 = -16. Let t be 168\/(-20)*k\/6. Suppose -3*r + t = 2*w, 0 = 3*w - 3*r - 52 - 116. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlxaxlvlrxrqlxxxv. Give prob of sequence xx.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 574*f**3 - 576*f**3 - 1048*f**3 + 1200*f**2 - 992*f**3 wrt f.\nAnswer: -12252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 7822 (b) -0.5 (c) 5 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001232628 rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 8. Is w(4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 10 = 2. Let y(t) = -t**2 + 7*t - 3. Let j be y(6). Let g = h - j. Calculate the greatest common divisor of g and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 227, -384 in increasing order.\nAnswer: -384, 8, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6))\/((-3)\/(-18)). Let h be x*3\/(-6) - -3. Solve -h*n + 5 + 1 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1073870 to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3\/9 + 3121446*f**2 + 37457360*f\/3 + 112372088\/9 = 0. What is f?\nAnswer: -2, 14046511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*c - 9*c - 3*c to the form t*c + n and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56700)\/(-4950))\/((-4)\/22).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8449 * 0.9\nAnswer: 7604.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/63)*s*(s\/s**(-12))\/s*s)\/(((s*s**(-16))\/s)\/s**(1\/7)))**(-8) assuming s is positive.\nAnswer: s**(-15712\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 4:40 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272068394?\nAnswer: 2, 13, 487, 21487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12112220100002 (base 3) to base 13.\nAnswer: 7c3c82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1060131 (base 7) to base 9.\nAnswer: -221216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 + 367 = 3*q. Let m be 15\/(-20) - q\/(-32). Solve 0 = -2*d + m*g + 4, 3*d + 0*g + 3*g + 6 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 31\/2*s**3 - 1 - 22*s**2 + 39*s. What is the derivative of q(p) wrt p?\nAnswer: 93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -70*a - 102. Determine w(-3).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1260027?\nAnswer: 3, 191, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccb when three letters picked without replacement from cbcbc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 17128510746017.\nAnswer: 17128510746018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*q + 3 = 0, 4*q + 2 - 5 = s. Let r = s + 15. Solve 3*o = -o - 2*f + 28, 0 = -3*f + r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132*(182\/(-312))\/7*2\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-28)*77*42\/(-21).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187000 - -0.3.\nAnswer: -186999.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 870093836?\nAnswer: 2, 2141, 101599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28404, 28398, 28392, 28386, 28380, 28374?\n\"Answer: -6*b + 28410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13614518 to 3 decimal places.\nAnswer: -0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*w = -183*w + 906. Let f = w - 301\/2. Factor -1\/4*z**3 + f + z**2 - 5\/4*z.\nAnswer: -(z - 2)*(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {j: 1, w: 3, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(156) + (sqrt(156) - (sqrt(156)*-3 + sqrt(156)) - sqrt(156) - sqrt(156)))*5)\/sqrt(12) + (-4*sqrt(832)*4 + -1)**2.\nAnswer: 266*sqrt(13) + 212990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*k + 180 = 57*k. Let x = -29 + k. Which is the nearest to x? (a) -0.5 (b) -3 (c) 0.5 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*x + 538 + 317. Calculate the remainder when x is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -451875113.\nAnswer: 451875107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00059470317 rounded to 7 decimal places?\nAnswer: -0.0005947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 239*v. Let m(b) = b - 6*b + 22*b - 16*b. Give c(m(h)).\nAnswer: h**2 + 239*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -1c8?\nAnswer: 1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15694.\nAnswer: 2, 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/5*t**3 + 1\/5*t**2 + 0*t.\nAnswer: t**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 22*w - 1. What is the units digit of g(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00583156 rounded to 4 decimal places?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2801 + -2798. Suppose -3 = 4*k + 1. What are the prime factors of k\/(p - 291\/96)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110 + -101?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 120576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/6853 and 65\/26628.\nAnswer: 26068812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 3 - 3*x**3 + 5*x**3 - x**3. Suppose 7*s - 2*s + 15 = 0. Let f(l) = -2*l**2 + 2. Give s*f(r) - 2*d(r).\nAnswer: -2*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/115602 and -29\/4.\nAnswer: 231204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -836 = 3*t - 842. Find the second derivative of -152*f**4 + 5*f**3 - 3*f**3 - t*f**3 + 2 + 117*f + 32*f**4 wrt f.\nAnswer: -1440*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546a6 (base 11) to base 3.\nAnswer: 11000212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert -220330230 (base 4) to base 2.\nAnswer: -101000111100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*h**2 + 4*h**2 - 11*h**2)*(-2*h - 5*h + h + (-2 + 0 + 3)*(-h + 2*h - 3*h) - 3*h - 3*h + 5*h).\nAnswer: 198*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 70137971 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1541 + -664. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**3 + 2*x + 1 - 5 - 4*x**2 - 4*x**3. Let o = -19 - -9. Let r be o\/25 - 22\/(-5). Give f(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 2*u = 3*k + 6, -2*u = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1782 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0, 1\/3 in increasing order.\nAnswer: -1\/6, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.41 - -1.4098127. Round q to six dps.\nAnswer: -0.000187","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -40. Suppose v*n + n = 22. Let t(c) = -c**n + 62 - 62 - 3*c. Let x(p) = -p**2 - 2*p. Determine -5*t(k) + 8*x(k).\nAnswer: -3*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -36, 2, 60?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 9:16 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 113921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xak when three letters picked without replacement from {f: 4, k: 2, a: 3, j: 1, x: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30094.95 + 30095. Which is the smallest value? (a) 36 (b) 34 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 381536.9 - 381537. Let t(i) = i - 7. Let h be t(6). Which is the closest to 17? (a) 3 (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p = -5*d + 15, 5*p - 15 = -5*d. Suppose 2*h - h + 5 = p, 40 = 5*u + 2*h. Let f = 32 - 12. What is the greatest common divisor of f and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**3 + 2*j**2 + 2*j - 3. Let g(p) = 7*p**3 + 3*p**2 + 2*p - 3. Let l be 74\/(-14) - (-8)\/28. Let s(o) = l*g(o) + 6*r(o). Calculate s(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 8*j**2 - 8*j - 1. Let d = 5 + 1. Let c be u(d). Let i = -12 + c. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4860)*3 + sqrt(4860) - -5*sqrt(300)\/sqrt(5))\/(((sqrt(216) + sqrt(24) + sqrt(24))*-5)\/(sqrt(2) + sqrt(2) + sqrt(50)*4)).\nAnswer: -902*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5 + 253*u**4 - 212539*u**3 - 2592313*u**2 + 6667278*u + 9046800 = 0. What is u?\nAnswer: -600, -14, -1, 3, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**2\/3 - 45697712*z\/3 + 130517555127184\/3 = 0 for z.\nAnswer: 5712214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 l, and 1 a when three letters picked without replacement from {x: 3, z: 3, m: 1, a: 6, l: 4, i: 1}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 6*w. Suppose w*l = -l. Suppose 0 = -5*n + 15, n = 5*i - l*i - 16499997. What is i rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 347 - 636. Let j = -289 - q. Let k = 3 - 4. Which is the nearest to j? (a) -5 (b) 1\/2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*d + 4*d. Let s be (d\/6)\/((-20)\/(-36)). Let v = 5.976 + -11.976. Which is the nearest to v? (a) 1\/3 (b) 0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 49. Suppose 4*c - r - 8 = 0. Suppose -2*t + m + c*m + 217 = 0, 5 = 5*m. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1. Let r = 87.8 + -88.3. Which is the nearest to l? (a) 0.2 (b) 0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2176, 1177, 178, -821?\n\"Answer: -999*q + 3175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 65 = -17. Let q = 3499 - 3471. Calculate the common denominator of (2\/f)\/(q\/848) and -61\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 649473\/49 - 13255. Let k = n - 6\/49. Let t = 51 - 54. What is the smallest value in -0.03, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524952.5l in millilitres?\nAnswer: 524952500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 110 = 12*p. Does 22 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161422.5 rounded to the nearest ten thousand?\nAnswer: 1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 4:19 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**4\/11 - 622*w**3\/11 + 1713*w**2\/11 + 6940*w\/11 + 2100\/11 = 0.\nAnswer: -210, -2, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/41 - -37\/82. Which is the third biggest value? (a) r (b) 2 (c) -0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/23, 0.9, 1001?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6697 = 7*t + 13344. Let n = -1004 - t. Is n a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-5))**(-46))**(-18) assuming f is positive.\nAnswer: f**(-3312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 98\/13, 12.08, -2, -2\/7, 4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1284\/7 (b) 0.1 (c) 9 (d) 2\/5 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.10206 or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 9*v + 10. Let n be t(0). Solve 6*r - 8 = n*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 7\/5 (b) -56 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003574879345 to five decimal places.\nAnswer: 0.00357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**2 + 1. Let z(n) = -42*n**2 + 135*n**2 - 42*n**2 - 50*n**2. Determine q(z(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 8:42 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 312 = 140*g. Factor 3\/7*h**g - 6\/7 + 3\/7*h.\nAnswer: 3*(h - 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -83*x**6\/2 - 2*x**3\/3 + 52*x**2 - 196. What is the third derivative of s(f) wrt f?\nAnswer: -14940*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 6 - 2*v**2 - 11*v**4 - 6 - 2*v**3 + 2*v + 10 to o*v**2 + x*v + w*v**3 + g*v**4 + c and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 + 2. Let j(n) = -n**3 + n**2 - 1. Determine 2*j(v) + z(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 13*t + 12. Calculate the remainder when 8 is divided by f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 11:40 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 12, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 2*b - 26, -4*t = -b - 0*b - 17. Let g be 3\/((-9)\/6) + t. Factor p + 4*p**2 - 6*p**4 + 2*p**3 + 2*p**4 + g*p - 6*p.\nAnswer: -2*p*(p - 1)*(p + 1)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) - (sqrt(117) + 1 + sqrt(117)))**2) + 1 - (sqrt(117) + (sqrt(117) - (1 + ((-1 + sqrt(117))**2 - sqrt(117))))))*-2.\nAnswer: -4 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 152*s = -158*s + 4, 0 = 1807*s - 1812*s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 + 95. Suppose -w*n + 28*n = 198. Find the second derivative of -3*g**2 + n*g**2 - 7*g - 9*g**2 + 40*g wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113 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: Let k(z) = 6*z + 2. Let w be k(-2). Let j(r) = -r + 13. Let f be j(10). Suppose -1 + f = 2*x. Put w, -1, x in decreasing order.\nAnswer: x, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/(-15) - (-6)\/18 and -52\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 628 - 630. Which is the nearest to i? (a) 5 (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsoodhdjjojhjskk. What is prob of sequence hs?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8*w = 8. Suppose 24 = w*v - 0. What is the smallest common multiple of 48 and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 246.6519 millilitres to litres.\nAnswer: 0.2466519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*p + 4*h, -3 - 1 = 4*p - 4*h. Suppose -5*l = -p*l - 9. Suppose 0 = 4*j - 14*r + 9*r - 67, 4*r - 58 = -3*j. Solve -5*d - j = -l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 156*((-76)\/(-8))\/1. Let l = d - 662. Let u = -527 + l. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3212011 (base 4) to base 16.\nAnswer: -3985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Let p(f) = 712*f - 42. Let l(a) = 6*m(a) + p(a). Calculate the remainder when l(1) is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27984396 and 13068?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17493734 to the power of 1\/2, to the nearest integer?\nAnswer: 4183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 5\/1*12\/10. Let b be (51 + -5 + 2)*n\/2. Calculate the greatest common divisor of b and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036 + 38633?\nAnswer: 38632.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2528 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 17916?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2653344 is divided by 1924.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 = 3*z - 242. What is the closest to -2\/7 in z, 4, -28\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**6\/120 + z**5\/20 - z**4\/8 + z**3\/6 - z**2\/8 - 100*z. Factor f(c).\nAnswer: -(c - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - k - 14, -2*l + 7 = 3*k + 4. Let x be 3*-2*(-3)\/l. Let p = x + 6. Solve -3*m = -5*w - p, 4*w + 4*m + 32 = -0*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1805, 3588, 5359, 7124, 8889, 10660, 12443?\n\"Answer: v**3 - 12*v**2 + 1812*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1636\/(-4090)*15\/(-28)*(-8)\/(-18)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34815 + 34845. Solve 5*j + 3*b + 18 - k = 0, 2 = -2*b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -3\/4*x**4 + 0*x + 23\/3*x**3 + 91 + 105\/2*x**2. Find the second derivative of n(o) wrt o.\nAnswer: -18*o + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r\/((r\/r**(-1\/2))\/r))**(-13))**(-27) assuming r is positive.\nAnswer: r**(1755\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11112 - -10010?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70211, 140593, 210975?\nAnswer: 281357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 33. Let d(s) = 5*s - 10. Let w be d(a). Let j be (-3)\/(-24) - (w\/(-8) + -4). Solve -3*u = -j - 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5) - ((sqrt(20)\/sqrt(2))\/sqrt(2) - sqrt(5))) + (sqrt(70)\/(1*sqrt(5)))\/sqrt(7).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 181893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387545054.\nAnswer: 2, 13, 1021, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 42784*d**2 - 128300*d - 171088.\nAnswer: -4*(d - 10693)*(d - 4)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 65.1282 and 201.\nAnswer: 13090.7682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93211, 186664, 280117, 373570?\nAnswer: 467023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 8*l**3\/19 - 126672770*l**2\/19 + 501437223942624*l\/19 - 125359298068608\/19 = 0.\nAnswer: 1\/4, 7917048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13a109 (base 14) in base 2?\nAnswer: 10100110001100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -322 + 324. Suppose 19 = 2*h - w*n - 79, 191 = 4*h - 3*n. What is the greatest common divisor of 264 and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/2291 + -2273\/20619. What is the second biggest value in -5, 4, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 + 4 - 4 + (-r**2 + r**2 - 2*r**3)*(2*r + r - 4*r) + r**4 + 2*r**4 - r**4)*(-3*r + 2*r - r).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 3*y + 17, 5*s + 224 = -3*y + 202 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - 3*j**3 + 0*j**3 - 4*j**3 + 2*j**3 - j**3 + (-1 + 2 + 0)*(2*j**3 - j + j))*(-2*j - 2*j + 3*j).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*s**3 + 4*s - 6.\nAnswer: 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + d**2 - 50143*d - 3 + 3*d**2 + 0 - 2*d**2.\nAnswer: 2*d**2 - 50143*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 18814 = x - 3*x, -3*k + 5*x + 14100 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 33*y**2 - y**3 - 5 + 27*y**2 - 67*y**2 + 5 to the form t*y**3 + m + v*y**2 + n*y and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h + 23 + 141 + 2*h**2 - 170. Let p be (-1)\/4 + (-50)\/(-8). Let f be y(p). What is the greatest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -21. Let r be (h\/3)\/((-2)\/3). Let m = -3 + r. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (8 - (1 + 6 + -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14014414 (base 6) to base 12\nAnswer: -1a740a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10*r + 1. Let v be -4 + -1 + 0\/1. Let c be d(v). Suppose c = 3*x - 36. What are the prime factors of x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -11\/2 (b) 6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 13144*s**2 + 52*s + 233. Is p(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 83*y - 83*y + 10, 13*y = h - 145 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2878330213.\nAnswer: 11, 73, 325861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/1 + (34 - 29). What is the biggest value in -5, y, -10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*r = -3*c + 96, 4*r + 156 = 5*c. Calculate the remainder when c is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 13) to base 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 p when three letters picked without replacement from {p: 8, g: 7, o: 3}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-2)\/(-3) - 738\/(-27) - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000200218 rounded to six dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -112 times 164\nAnswer: -18368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 18423.09\nAnswer: -73692.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64.922 + 65. Let i = -7.178 + u. Let k = -7.1000004 - i. What is k rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -2*c - 3*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -1.41\nAnswer: 0.0705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**2 - 1\/120*g**6 + 1\/24*g**4 + 0*g + 3\/20*g**5 - 5\/6*g**3 + 0. Let s be l(9). Solve 5*v = -y, -y = -0*y + s*v - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24596701 at most -24596699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 - 2.9. Let m = 2 + k. Let l be ((-15)\/12)\/(1\/4). Which is the smallest value? (a) -1\/2 (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 5, 24\/11?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 832*c - 56. What is the hundreds digit of p(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 11*g**2 - 15*g**2 - 21*g**2 - 13*g + 19*g.\nAnswer: -47*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0865131 months to years.\nAnswer: 0.007209425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**4\/24 + 18*c**2. Let g(x) = 3*x**2. What is g(j(h))?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 166590253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 8. Suppose -14*v + 2357 - 2413 = 0. Let u be 2\/(-7) - 74\/(-14). Let g(x) = -2*x + 7. What is u*g(p) + v*z(p)?\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*b - 4960 + 56, 0 = 3*b + 5*o - 7406. What is the remainder when b is divided by 154?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 10 (b) 7 (c) -0.5 (d) -0.4 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 866423 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 + 4*g**2 + 7*g + 5. Let d(l) = -27183*l**3 + 8 + 9*l**2 + 2 + 15*l + 27188*l**3. Calculate -4*d(x) + 9*m(x).\nAnswer: -2*x**3 + 3*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {e: 3, z: 3, g: 1, u: 2, v: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73081*q + 10 = 3*m - 73080*q, -2*q = 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12906 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -355320000 rounded to the nearest one million?\nAnswer: -355000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 5:35 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*z = -68, -2*w + w = -2*z + 28. Let i be 192\/72*-1*9. Is i > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.02 - 0.02. Let d = f - 2. Let v = 82.51 - 82.71. What is the nearest to d in 0.3, v, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8517 = -5*x, 3*w - 6201 = -3*x + 6522. Suppose -36*y + w = 1726. Calculate the lowest common multiple of 11 and y.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 6 - q - 5 + (q - 2*q + 3*q)*(-1 - 1 + 1).\nAnswer: -4*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.33 - 12.67. Let d = -9 - b. Let r = -27 + 27.1. What is the biggest value in d, r, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008702423842 to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 2:59 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1004*h. Let t(r) = -2*r**2. What is t(v(q))?\nAnswer: -2016032*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34409, -34411, -34413, -34415?\n\"Answer: -2*c - 34407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -168971403\nAnswer: -50691420.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, -121, -2\/9, 0.32, 4, 2?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/179 - 340\/1611. Let m = -2109 + 2108.7. Sort m, -5\/19, n in decreasing order.\nAnswer: n, -5\/19, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (2\/1 - 1). Put -4, 0.5, v in ascending order.\nAnswer: -4, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -8. Suppose -j - q = -21. Suppose 0 = 5*a + 2*b - 100, -a - 2*b = -6*b - j. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 4, t: 6, j: 1}. What is prob of picking 1 j, 1 h, and 2 m?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 20*r - 17. Let o be l(20). Let j = o + 90. What is j rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9.598696 meters?\nAnswer: 959.8696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.9 - -23.85. What is the third smallest value in h, -1\/8, -39?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70.38 - -71. Let x = 6.62 - t. What is the closest to 0.1 in 0.3, x, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q + 2. Let t(h) = -h**2 + 4*h + 7. Let b be (-2)\/8 + 6\/(-8). Let k be (1\/b)\/(11\/(-55)). Let d be t(k). Give j(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.97 + -15.37. Which is the closest to 8.2? (a) 4 (b) -1\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -630\/13 (b) 0 (c) 301 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 + 214?\nAnswer: 1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -734 - 242 = -41*p - 279 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1584 + 1583. What is the nearest to n in 5, -60, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.206 + -206.794. Is y less than 0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*n**2)*(0*n + 2*n - 4*n) + 152 - 152 + 28*n**3 - 2*n**3 + 3*n**3 + 0*n**3 to h*n**2 + j*n**3 + d*n + f and give j.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1011100100001100111100 (base 2) to base 12\nAnswer: -1022678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 452443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2. Suppose 0 = -209*v + 212*v. Let l(x) be the third derivative of 0 + 0*x - 1\/8*x**4 + 2*x**2 + v*x**3. Calculate l(n(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/2 + 1\/(-2). Suppose -4*u = -2*u. Suppose -3*o - 2*d + 104 = u, 0 = h*o - d - 167 + 43. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 f when three letters picked without replacement from fffffffvvvf.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 0*l - l + 3*l - 8. Let y be i(6). Let x(m) = m**2 - 17*m - 36. Let a be x(20). Solve -y*q + a = -4*v, 4 = 4*q - v - 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -4\/3, 0, -5 in descending order.\nAnswer: 3\/8, 0, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15907? (a) -5 (b) 197 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10751*c - 27*c**2 - 10751*c + 21503*c.\nAnswer: -27*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63098426*t**2 - 16*t - 14876372*t**2 + 16*t.\nAnswer: 48222054*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -77ca + 18?\nAnswer: -77b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/1430*11)\/((-12)\/12).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1417302281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4581 - 1974. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1913*o**2 + 2 - 1072*o**2 + 1492*o**2 to the form c*o + a + j*o**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 - 4*g**2 + 4*g - 5. Is f(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 328 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 9*u**3 + 24*u**3 + 2*u**2 - 11*u**3 to m*u**3 + f*u**2 + w*u + l and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 7 = 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-14)*2 - (-178)\/(-35))*(3432 + -3442)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*-2*(-1)\/(-1). What is the second derivative of 2*m**4 + 3*m**4 + 0*m - 2*m - m**v wrt m?\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1\/2 (c) 2809 (d) 0.4 (e) 3 (f) -1\/4 (g) -145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31\/5 of a tonne?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -0.23 (c) -19\/7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 6339322.54983?\nAnswer: -6339322.54983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 463 or -17395?\nAnswer: -17395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000064835 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32262 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 3. Let o be f(-3). Suppose 0 = -5*q + 2*r + 5 - 3, 5*q + 2*r - 18 = o. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1135*q*t**3 - 54*q*t**2 - 35*q*t + 2*q + t**3 + 10590*t**2 - 89*t with respect to q.\nAnswer: 1135*t**3 - 54*t**2 - 35*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20662, 20760, 20858, 20956, 21054, 21152?\nAnswer: 21250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34220499*f**2*o**5 + 807569*f**2*o - 41*f*o - o**5 wrt o?\nAnswer: -684409980*f**2*o**3 - 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 7:10 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/(-18) - -5)*(-15)\/230?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c + 150 + 46 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 9. Suppose -37 = -9*d - 19. Suppose 5*j + s = -d*s + 12, -2*s + 8 = -4*j. What is l(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 2*m**2 - 6*m + 7. What is the units digit of f(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*x = -2914 + 5970 - 2741 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 958*n**3 + 9*n - 8. What is the tens digit of t(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.224 + -0.024. Let v = j - -67.8. Let x = 83.051 - v. What is x rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1886 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/1145 - -11428\/12595. Suppose -4\/11 + 34\/11*r**3 - 42\/11*r**2 + 2*r - o*r**4 = 0. Calculate r.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -894, -1, -178, -94.\nAnswer: -894, -178, -94, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 464.263 millennia to centuries.\nAnswer: 4642.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.78 - -38.42. Round o to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*w)*(-4 + 2 - 5)*(3*w - w + 0*w + 4*w - 3*w - 7*w + (0 - 2 + 3)*(5*w - 3*w - 3*w) + 8*w + 8 - 8) as j*w**2 + y*w + c and give j.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56731 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 376*o - 4480.\nAnswer: -4*(o + 14)*(o + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18165\/4793 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221222120200 - 10102222?\nAnswer: -222010000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 22. Suppose -c*r - 138 = -5*r. Let x(o) = 47 - o - r + 0*o. What is x(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2843 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n\/n**(-1)*n*n)\/n*n)\/n)**(-6) assuming n is positive.\nAnswer: n**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 1) + (-164)\/(-16)*4. Let d = -30 + f. Suppose 7*x = -d + 71. Solve 0*z - z + 2 = 2*o, 4*o = -5*z - x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 899586850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -24*r - 114. Calculate s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11*a - 5. Let w(q) = 23*q - 15. Calculate -9*b(v) + 4*w(v).\nAnswer: -7*v - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 343158614?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -523*o**2 + 14*o - 13. Determine u(1).\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + t - 3*t + 2 = 0, -9 = -3*q - 5*t. Suppose -7 = -s + 3. Suppose -3*y - 1 = -s. Solve 2*b - g = q, -g - y*g = 3*b - 23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-21)*1*(-588)\/84*-4.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 0 = 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + t + 3*t)*(4*t - 5*t + 2*t) - 2*t + 2*t**2 + 2*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5207897 and -17.\nAnswer: -88534249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104.9 - 105. Which is the closest to t? (a) 2\/3 (b) 0 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/27)\/((-409)\/(-14724))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 4*s + 0*s)*(2*s + 4*s - 3*s)*(2*s - 4*s + 0*s) in the form f + p*s**3 + b*s**2 + n*s and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 257222 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tpmtmtmttttp.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, r: 1}. Give prob of picking 1 n and 1 r.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*j**5 - 34*j**4 + 32053*j**3 + 14960052*j**2 - 22 wrt j?\nAnswer: -1680*j**2 - 816*j + 192318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1007297 is divided by 503273?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 8*w - 3. Let s be a(-7). Let v be (-20)\/4 + -1 + s. Let j be v\/(-10) + (-531)\/(-45). What is the highest common factor of j and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, z: 2, u: 1, w: 1}. Give prob of sequence zzw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94270.\nAnswer: 2, 5, 11, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27\/4 - -7. Is 0 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -16*g. Let a(r) = 4*r**2 - 3*r. Let k(m) = 5*m**2 - 4*m. Let f(q) = 4*a(q) - 3*k(q). Determine i(f(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3 - 5540*w**2 = 0. Calculate w.\nAnswer: 0, 2770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -72, -2, 6, -3, 27 in ascending order.\nAnswer: -72, -3, -2, 1, 6, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1552 + 1551.9379. Round b to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/1922222 and 99\/178?\nAnswer: 1922222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-87))\/((-12)\/(-720)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13\/155651 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54.4 - 55. Put 1, i, -1, 7 in descending order.\nAnswer: 7, 1, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 476.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 48377579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3 + (-2*sqrt(4032) + 1)*-5*-1)**2 + 4).\nAnswer: -3840*sqrt(7) + 1612832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*w - 2. Let r = 4 + w. Suppose 13 = 5*u - 7. Put r, u, 1 in descending order.\nAnswer: r, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -211173 + 210969.606. Let x = -203 - l. Let g = x + -0.4. What is g rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 - 22*v + 5. Let k(f) = f**2 - 7*f + 2. Let c(d) = 11*k(d) - 4*z(d). Let b be ((-6)\/(-16))\/(-1) - 178906\/(-15728). What is c(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -558, -1161, -1990, -3051, -4350, -5893?\nAnswer: -7686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 3*q**2 - q - 11. Let b(h) = -4*h + 16. Let a be b(5). Let z be k(a). Solve 0 = z*r + 13 + 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n - 4*n - 69 + 501 = 0 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 8. Let g(t) = 0*t + 0*t + t**d + 0*t**2. Let q(w) = -6*w**2. Calculate q(g(p)).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 9) in base 14?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3854?\nAnswer: 2, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -20. Find the common denominator of -7\/18 and (-220)\/(-6)*(-1)\/g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 8*i. Let q(g) = 30*g. Let r(v) = 5*h(v) - q(v). Let a(y) = 39*y. Calculate 3*a(d) - 13*r(d).\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34291 (base 11) in base 7?\nAnswer: 264401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8590*t - 2138909. Determine h(-249).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562231 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2. Find the third derivative of -5*o**d + 4*o**3 - 2 + 2 + o**2 wrt o.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-7 - 0) + 2 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14\/11 (b) 0.05 (c) 115779\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 7. Let f(o) = -5*o**5 - 2*o**3 - 5*o. Let n(z) = 6*z**5 + 3*z**3 + 6*z. Let c(w) = j*f(w) + 4*n(w). Suppose c(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6819*z + 151550 + 656016 = 166580 for z.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + 14*r**2 + 5. Calculate o(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*h*x**3 + 21*h*x - 1467*x**3 wrt h?\nAnswer: 31*x**3 + 21*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*131\/(-1098) - 8\/36. Is 1 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/14)\/((-12)\/14). Which is the nearest to 0.2? (a) -4 (b) u (c) 0.2 (d) -4\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 1015?\nAnswer: 3045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 c when four letters picked without replacement from ccccccncccccccz?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -8. What is the hundreds digit of (0 - q)*-41 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -18. Let r be 0 - 8\/2*-1. Suppose -4*d = 5*z - 7, -r*z + 2*d + 15 + 1 = 0. Solve g = -z*s, 17 - 4 = 4*w - s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/1*(-2 - (-14)\/6). Let k be (1 + -2 + 1)\/1. Solve -4*t + 3 = d, d + c*t - 4 + k = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*p**4 - 2 + 22*p**3 - 2*p - 15*p**3 - 9*p**3 to o*p**2 + c + g*p**3 + r*p + h*p**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1. Let s(m) be the first derivative of 3*m**2\/2 - 56*m - 147. Let c be s(17). What is the second smallest value in w, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqqmqqqqqqqmqmqmmq. Give prob of sequence qqm.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -368 + 466?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 s, and 1 h when four letters picked without replacement from hshhdrdsshd?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.79 - -0.89. What is the closest to -24 in n, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -17*c - 2. Let i(q) = 9 + 12*q - 52*q - 10 + 22*q + 10*q. What is 2*a(x) - 5*i(x)?\nAnswer: 6*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73240 and 1880.\nAnswer: 3442280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9172.\nAnswer: 2, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(10) + 5 - (sqrt(432) + 0 + sqrt(432) + sqrt(3)))**2 - (-3*sqrt(225))\/sqrt(3)*-3.\nAnswer: -285*sqrt(3) + 1753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2, 2, -1\/7, -592\/9, -2 in decreasing order.\nAnswer: 2, -1\/7, -0.2, -2, -3, -592\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -183*p + 18983. Calculate n(111).\nAnswer: -1330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3*i - 18, -3*i - 2*i + 9 = 2*f. Let j be -3 + 2 + f - -49. Let q = j - 43. What is the lowest common multiple of q and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 2)*(-9 + 1 + 1)*(59*u + 60*u - 127*u) in the form v*u + d and give v.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158.000017 + 158. Round a to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 3:11 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 56\/5, 10, 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*f + 291242, 4*v - 5*v = -f - 97080. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccaa. Give prob of sequence aca.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*z**3 - 15*z**2 + 223*z**3 - 3*z - 125*z**3 as r*z**3 + l*z + b + h*z**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 627981150 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-30)\/(-48))\/((-3)\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-129362*z + 1 - 1 + 125515*z)*(-7 + 3 + 2) as o*z + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, s: 8}. Give prob of sequence yssy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010000 (base 2) in base 5?\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -32 in decreasing order.\nAnswer: 5, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 531\/2 - 255. Let d = -157\/14 + y. Let h be (2\/3)\/(3\/(-9)). Which is smaller: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 121, -2375, -6535, -12359, -19847, -28999?\n\"Answer: -832*w**2 + 953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + (3 - -5 - 7) - (-56 - -66)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15501816 is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**4\/12 - 7*d**3\/6 + 4*d**2 + 144*d. Suppose 5*y - 17 = 13. Let v be p(y). Solve -2*t - v = -0*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by -40\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -347092 divided by -76\nAnswer: 4567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 6:03 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 - 3)*(3418953 - 3418953 + 1588*t)*(-3*t - 3*t**2 + 3*t) + 0 + 0 + t**3 as h*t**2 + r*t + w*t**3 + u and give w.\nAnswer: 9529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-208)\/(-2))\/(20\/50). Suppose -72 = -k - 3*z, y = -k + 4*k - 2*z. Let o be (-2)\/(-8) + (-69)\/k. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -525 - -524.6. Let r = 21.2 - 21. Which is the nearest to r? (a) -4 (b) 1\/8 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 5*n**2 + 6*n - 15. Let d be s(-7). Let a be d\/7 - (-12)\/(-14). Solve c - 6*c - a = o, -5*o - 4*c = 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (177606\/364)\/23?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -10. Solve -3*j - 2*j = 3*s + 23, -5*s + q*j + 15 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**11*m*m**2*m**(-11)\/(m**8*m) assuming m is positive.\nAnswer: m**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -173, -174, -175?\n\"Answer: -f - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6) - (-4)\/(-6). Let v = -257\/6 - -43. Which is the nearest to t? (a) 0.3 (b) 0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a424 + 1?\nAnswer: -2a423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49001 and 41971.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7611 + 38618\/5. Let w = 113 - v. Which is the third smallest value? (a) 0.2 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 8 = 3*n, -4 = 3*n - f - 0*f. Let w = 0.5 - 0.56. Let l = w - 0.24. Which is the nearest to n? (a) -4 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 1*-1) + -1. Let i be 0\/((-3 - -7)\/(-4)). Let n be (-3 - -2) + i + a. Solve -2*c + n = -4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 + -2)) + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 10*h**2 - 6*h + 7. Calculate the remainder when x(-10) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 - -11011000011?\nAnswer: 11010222012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70411 is divided by 70405?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*x**5 - x**4 - 232999*x**3 - 16*x**2 - 8*x + 52405?\nAnswer: 960*x**2 - 24*x - 1397994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 13*l. Let k(g) = g**2 - 5*g + 7. Let p be k(-7). Let r(x) = -196*x. What is p*h(n) + 6*r(n)?\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 0*s + 20. Suppose 2*w + 4 = 4*v + 2, w = 4*v - s. Solve -d - v*d = 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 729 and 304641.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**6\/360 - s**5\/60 - s**4\/8 + 15*s**3\/2 - 7*s**2 - s. Let k(o) be the first derivative of c(o). Give k(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -238, -474, -710, -946, -1182?\n\"Answer: -236*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109 and 13189.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -41, 156, -0.01?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*n - n. Let c = -43 - -24. Let d = n + c. Calculate the greatest common factor of d and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 16509\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1291*k**2 + 3*k + 3. Let r(a) = 5*a + 27. Determine r(p(h)).\nAnswer: 6455*h**2 + 15*h + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 0, q + q = 5*c - 15. Suppose -c*g - 5*a = -4*g + 18, -3*a - 21 = -4*g. Let h(f) = f**3 + 4*f**2 + 2. Let n be h(-4). Solve b + g + n = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (0 - (3 - 5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9794560 a multiple of 1713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 14*x + 4. Let b(j) = 2*j. Let s(d) = -d. Let v(o) = 3*b(o) + 7*s(o). Let a(y) = u(y) + 8*v(y). What is the units digit of a(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 36*r - 50*r + 12*r. Let y(l) = -4*l**2. What is c(y(b))?\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 at most as big as 1224\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 18. Let i be f(7). Suppose -2*p = i*v - 22, 4*p = -7*v + 11*v + 20. What is the smallest common multiple of 20 and p?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(-1*sqrt(21)\/sqrt(7)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4 - 3 - 3 - 129*l**3 + 205*l**3.\nAnswer: 76*l**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*5\/((-60)\/(-18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a + 5*u, 0 = -4*a + 2*u + 10. Solve 0 = 2*p + 3 + a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 4, 1, 125.\nAnswer: 0.03, 1, 4, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -462860, -925738, -1388616, -1851494?\n\"Answer: -462878*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**6\/120 + s**5\/30 + s**4\/2 - 3*s**3\/2 - 19*s**2. Let z be (-3)\/((-2)\/(8\/3)). Let o be f(z). Solve 0 = o*t - 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r - 9 + 17*r**4 - 67*r**4 + 25*r**4 + 5 + 3*r**2 - 5*r**3 + 22*r**4 to the form y*r + u*r**3 + b*r**4 + f + x*r**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 8*k + 17 = 5*n, -4*k + 4*n = 20 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -69165 + 46?\nAnswer: -69119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**2 + 65*x - 22. Give y(15).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuu when three letters picked without replacement from {z: 4, u: 5, y: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 30*x - 12 = 0. Suppose 24 = -h + x. Sort 1, h, 4.\nAnswer: h, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5 + 120*b**4 - 2250*b**3 + 12500*b**2.\nAnswer: -2*b**2*(b - 25)**2*(b - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -10. Let k be 327\/(-2)*6\/n. Suppose 5*u = k + 31. Are u and 29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 8. Let h be d(6). Suppose 4*i + 4*q = 3*q + 3, -5*i + 7 = -2*q. What is the highest common divisor of h and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -31. What is the third smallest value in -1, s, 1\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160152 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 967 and 1358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - ((-6)\/(-3))\/(-2). Let p(r) = -6*r. What are the prime factors of p(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-19)\/g**(1\/8))\/(g**(2\/17)*g**7*g) assuming g is positive.\nAnswer: g**(-3705\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9110757*n - n**2 + 15980 - 9110757*n.\nAnswer: -n**2 + 15980","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3475, -3477, -3481, -3487, -3495?\nAnswer: -3505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 295113407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 652642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + p + 1190, -l - 4*l + 1494 = 2*p. What is the remainder when l is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 11*t**2 + t + 15. Let b be u(-11). Solve -b*k - 3 = -7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111000 + -10110010?\nAnswer: -1000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1144 - 1141. Put t, -17, 5, 8 in ascending order.\nAnswer: -17, t, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*p**2 - 7*p**2 + 0*p**2)*(-728 + 306 + 776).\nAnswer: 4248*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -519789 (base 13) to base 5\nAnswer: -441443340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-53300)\/25584 + 148\/(-48) + 3\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 7*c - 8. Give n(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**6 + 401*l**3*s**2 + 180*l**2*s - 71*l*s**2 wrt l?\nAnswer: 240*l**3 + 2406*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -188 (c) -2398\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7697952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -5. Suppose -3 - 21 = 4*q. Let i = j - q. Solve -4*s - r = -i, 3*s + 2*s = -r + 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 + 56*h**3 + 156*h**2 + 152*h + 50 = 0. Calculate h.\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 15*v**2 - 10*v - 9. Let g(s) = s**2 + 3*s - 4. Let p be g(-6). Is 19 a factor of z(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4576?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.499656l?\nAnswer: 2499.656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 552*c + 549*c - 2740*c + 553*c + 548*c + 541*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*p - 33 = 0, -2 = -3*y + 5*p + 3. Suppose -78 = 47*u - 52*u + 3*h, -3*u + 41 = 4*h. Calculate the least common multiple of u and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + ((-42)\/(-9))\/(52\/252*3).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 8*h - 2 = -2*b, 4*h + 10 = -2*b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqywnwm. What is prob of sequence qwym?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -175, -379, -603, -841, -1087, -1335, -1579?\n\"Answer: j**3 - 16*j**2 - 163*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**4\/8 - 3*q**3\/2 - 2*q**2 + 1445*q. Calculate p(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -117, -112, -107?\n\"Answer: 5*j - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*f. Suppose 1 = -f*z + z. What is the units digit of z*(8 + (-2 - -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3088\/(-14668) - (-306212)\/38. Are c and 8058 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 34*g**2 - 2. Let f(m) = -10*m**2 + 22. Determine f(u(x)).\nAnswer: -11560*x**4 + 1360*x**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q. Suppose -p - 45 = -4*x, q*p - 5*x + 158 = -4*p. What is p rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**4 + q**4 - 4*q**4 + (0 + 0 + 2*q**3)*(0*q + 3*q - 5*q) - q - 2*q**4 + q)*(8*q - 5*q + 7*q).\nAnswer: -40*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 - 300?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**5\/120 + y**4\/2 - 8*y**3\/3 + 1. Let n(p) be the third derivative of z(p). Give n(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103.779 + 1.121. Let n = -2.9 + y. Let o = -101.837 + n. Round o to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 25 + 4*p - 27 + 2. Let q(j) be the second derivative of -j**4\/3 - j. Calculate l(q(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -218\nAnswer: 9\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 416 in -0.08, -764, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 8*h**2 + 13. What is i(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -642548*x**5 + 13*x**2 + 27930 wrt x?\nAnswer: -38552880*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*r = -578887 + 559879 for r.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 11 + 19 = 0. Let c = -23 + 37. Is n < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 1. Let a be l(3). Suppose -2*n = -n - 2. Sort n, -7, 5, a in decreasing order.\nAnswer: 5, n, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/(-200)*8*(-20)\/6 - 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**2. Let r(k) = 52*k. Determine r(w(d)).\nAnswer: -208*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-1950)\/(-114) - (-2)\/(-19). Calculate the greatest common divisor of x and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7816056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/39 and -109\/78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17023477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*c = 3*y - 20, -4*y + 13 = -c. Suppose -4*d + y*p = 178, p = 2*p + 1. Let f = -14 - d. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47819*t**3 - 4*t**2 + 4*t**2 + 45838*t**3.\nAnswer: -1981*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 15 + 3 = -2*b, -5*d = -1238*b + 1232*b + 36 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 15, 39, -4, 2 in decreasing order.\nAnswer: 39, 15, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d = -530 + 518 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126420 and 22575.\nAnswer: 632100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqjqqjqqqjjqjqqqqq. What is prob of picking 4 q?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 115104?\nAnswer: -115105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2. Suppose 0 = -6*a + 3*a + 3*k + 6, s = -2*a + k. Suppose -3 = 3*z + o, -z = 3*z - 4*o + 4. Put 0, z, a in descending order.\nAnswer: 0, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 493502, 987014, 1480536, 1974074, 2467634, 2961222, 3454844?\nAnswer: 3948506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-22794)\/(-290))\/(((-18)\/(-8))\/((-1440)\/(-384)))\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -451\/7 - -65. Let i = 0.37 + -4.67. Let f = 2.3 + i. Put b, f, 2\/3 in ascending order.\nAnswer: f, b, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -2*g - 9471 - 13753, -5*g = -15. Does 66 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**3 + 54*k**2 - 57*k = 0.\nAnswer: -19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2989*v. Let t(y) = -39*y**2. What is t(g(b))?\nAnswer: -348430719*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.47 - -1.03. Let d = -18 - -16.4. Let v = m + d. Which is the closest to v? (a) -0.3 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/4*(2 + 0). Let g be s\/114*(7 + -3). What is the closest to 0.1 in -5, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(4)\/(sqrt(4)\/sqrt(2)) + -1)*-5 + -4)**2 - (-4 + sqrt(162) + ((-4 + sqrt(162)*-2)**2 - sqrt(162)) + -3)).\nAnswer: -3636 - 924*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 divided by 2?\nAnswer: 341\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-2) + (0 + -1)*2. Let h(k) = -k**2 + 4*k + 4. Let a be h(4). Is 11 a factor of -2 + ((-512)\/l)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011 + -1011000100?\nAnswer: -1100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(980)*2*-1 - (-3*(sqrt(980) - (sqrt(980) - 1*sqrt(980))) - sqrt(980)))\/(sqrt(12)\/(sqrt(21)\/sqrt(7)) + sqrt(100)*1).\nAnswer: 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/4)\/(31\/124)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-22 + 0 + 154)*(w + 0 + 0) - w + 4*w - 6*w)*((2 - 1 - 2)*(3 - w - 3) - w + 2*w + 0*w) in the form b*w**2 + y*w + o and give b.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 5*o + 2*t, 3*o + 29521*t - 44 = 29525*t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Let p be j\/(-2 + 0) - 164. Find the common denominator of -1 + 0 - p\/10 and -11\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = -4*f + 5*w + 49, -3*w = -3*f + 33 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 39715, 39723, 39729, 39727, 39711?\n\"Answer: -v**3 + 5*v**2 + 39711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/1791 and 73\/1604298.\nAnswer: 957765906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -h - 56. Let t = 10 - h. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16460270*y**2 - 315318*y.\nAnswer: -32920540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25, 5, -29, -77, -139, -215?\n\"Answer: -7*v**2 + v + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17733151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 244432951 to the power of 1\/3, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-27)\/12)*(-735)\/(-3360)*-24\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (21\/(-35)*-10)\/(4\/(-10)). Let y = 85 - 131. Let h = y + 31. Is p at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -75*k - 896. Let r be g(-12). Let q = 62 + -148. List the prime factors of r\/16 - q\/8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (9 - (-4 - -25)) + -12 - -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4610 + -4592. Calculate the remainder when 68 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (35\/(-1470))\/(1\/10). Which is the nearest to 0? (a) 2\/7 (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -643*y + 31711. Calculate w(50).\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4253+0.132332621\nAnswer: -0.292967379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2. Let g(q) be the second derivative of -q**4 - 11*q**3\/6 - 1656*q. Give g(l(h)).\nAnswer: -12*h**4 - 11*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -27, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2597 + 2773. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 121*y**2 - 60*y + 9. Let i(w) = 60*w**2 - 27*w + 4. Give -9*i(f) + 4*q(f).\nAnswer: -56*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 2770*o + 191565.\nAnswer: 5*(o + 81)*(o + 473)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -459 + -876?\nAnswer: -ccf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 463629*s + 7417808.\nAnswer: (s - 463613)*(s - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*k = k + 48, -5*p + 30 = 5*k. Let t = p - 36. Let r = t - -31. Put -0.1, 0.1, 5, r in increasing order.\nAnswer: -0.1, 0.1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 1781567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*v = 16, -5*k = -5*v - 1694 + 1584. Let r(b) = b**3 - 3*b**2 - 5*b + 6. What is the remainder when r(5) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-464)\/(-6264)*30\/2?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3882811 rounded to the nearest one hundred thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 446486*b**2 - 95*b - 524.\nAnswer: 892972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*k**4 + 9410*k**3 - 1536395*k**2 + 18763840*k + 13194860 = 0. What is k?\nAnswer: -2\/3, 14, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(18\/12))\/(3*-1). Let z = 176 - 1230\/7. Let v = -4 - -4.06. What is the smallest value in a, v, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(216)*-3 - sqrt(216))\/(-1*sqrt(128)))\/((sqrt(441)*4 - sqrt(9)) + sqrt(54)\/(sqrt(6) + (sqrt(6)*-4 - sqrt(6)))).\nAnswer: -2*sqrt(3)\/107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*k - 55*k - 30. Suppose o + k*z = -16, -4*o - 2*z = 1 + 9. Let g = -1.9 - -2. What is the nearest to g in 2\/21, -0.3, o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*j + 66, 4*s - 81 = s - j. Suppose -2*g - 5*k + s = -3*k, -4*k = 20. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.235 and -51.\nAnswer: 11.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7406, -7410, -7414, -7418, -7422, -7426?\nAnswer: -7430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77*-1.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6. Let q(x) be the third derivative of -x**6\/120 + x**5\/30 + 7*x**4\/24 + x**3\/6 - 35*x**2. Let c be q(4). Sort c, f, -5, -2 in descending order.\nAnswer: f, -2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19 and 1444.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2233)\/(-4785))\/((595\/(-465))\/(-17)).\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7276\/51)\/((-20)\/(-1095)).\nAnswer: 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u = -3*g + 37, 2*g = -3*u + 21. Suppose -3*a = -9 - 3. Let q(o) = a*o - 5*o + 6*o - 12 - 3*o. Let z(l) = 1. Give g*z(x) + q(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.589401 + -2.28938. Let r = w + 1.7. Round r to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyaooyoaoayoyo. Give prob of picking 2 y, 1 a, and 1 o.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2\/5 - 2\/5*p**2 + 0*p = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 at most 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251905 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 6*o + 1. Let t be 5\/((-25)\/20) - 2. Let q be m(t). Let n(k) be the first derivative of 5*k**3\/3 + k**2\/2 - k - 1. Give n(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (104\/(-104))\/(0 - -547). Does l = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4760 and 147798.\nAnswer: 2955960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16627073 to the nearest integer?\nAnswer: 4078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1414701 and 567.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179, -175, -177, -191, -223, -279?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -5*c - 17, -25*c + 9*g + 1318 - 1450 = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15261 + -130. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3698 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -323, -4, 7, 3, -3, 1, -5 in decreasing order.\nAnswer: 7, 3, 1, -3, -4, -5, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4730 divided by 25\nAnswer: 946\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 38*j - 168*j + 3.\nAnswer: -130*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 96\/10 - 1 - 57\/95. Suppose 0 = m + 2*w - 168, w = m + 2*w - 165. Suppose 11*t = y*t + m. What is the highest common divisor of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8692, -14958, -21224?\nAnswer: -27490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2. Let j be 9 + (-1 - 0 - 0). Suppose z = 2, -r + 0*z + 5*z = j. Let h(b) = -6*b**r + 6*b**2 + 10*b**2. Determine q(h(o)).\nAnswer: 200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 3 - (-776 + 780 - ((-16 - -1) + -1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 13. Let m = o + 9. What is the closest to m in 0.1, -0.5, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003024 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029.332 less than 0?\nAnswer: -1029.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*k - 307623 - 166322 = -144185. Calculate the remainder when k is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821867750?\nAnswer: 2, 5, 11, 298861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -64, -1417, 0, -1, 5.\nAnswer: -1417, -64, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in 2, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5 - u + 4*u**2 + 10*u**2 + 4. Let i be (1\/(-3))\/(1\/3). List the prime factors of q(i).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - 5783?\nAnswer: -5789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*l**6*z**2 - 6*l**3*z**2 + 6*l**2*z**2 + 2*l**2*z - 4*l*z wrt l.\nAnswer: -1200*l**3*z**2 - 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 283018*d**4 + d**3 + 16*d**2 - 41012310*d?\nAnswer: 3396216*d**2 + 6*d + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13441698 a multiple of 1559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -1\/6, -1\/5, 5\/2, 4.6, 16\/3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y - 24. Let j = y - 3. Sort j, 2, -5.\nAnswer: -5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523295 is divided by 277?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 854\/3*z**2 - 2*z = 0. What is z?\nAnswer: -3\/427, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -2\/4490373319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30760.999986707 - -30761. What is v rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 23*u + 10. Let q(f) = 4*f**2 - 8*f - 11. Let i be q(-2). Let r be t(i). What are the prime factors of (r + (-30)\/(-5))\/(2\/7)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(7\/5)*(-2)\/30)\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, 10.5, -61 in increasing order.\nAnswer: -61, -10, 3, 10.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121 + 123. Solve -3*r = f*d - 6*r + 4, -3*d - 4 = -4*r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (1\/(-3))\/((-5)\/15) - -188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265362733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*i**2 - 52*i**2 - 4 - i**4 - 2*i + 99*i**2 + i**3 + i**3 to f*i**2 + x*i + m*i**3 + n*i**4 + b and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(343))**2.\nAnswer: 14*sqrt(7) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013841089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.04, 1.49, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.3 (c) -11.5 (d) -4 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12460 is divided by 2064.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 127, 197?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -4. Let l(x) = x**3 + 6*x**2 - 5*x. Let t(r) = -r**3 - 5*r**2 + 4*r. Calculate q*l(i) + 4*t(i).\nAnswer: -i**3 - 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1220, -1176, -1116, -1040, -948, -840?\n\"Answer: 8*o**2 + 20*o - 1248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808364 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is -46330 at most -47859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*x**3 + 2*x**3 + 27*x**3 + x**3 - 2*x**2 + 2*x**2 + (2*x**2 + 0*x**2 + 0*x**2)*(-2*x + x + 3*x))*(0 - 4 + 2).\nAnswer: -30*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 299 and 0.2.\nAnswer: 299.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752566 equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-11)\/1 - 3. Let n be 1*3\/(-3) + v. Solve 0 = 5*b - 2*a - 17, n*a - 3*a = -3*b + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 4:17 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5941586 millennia to years.\nAnswer: 594.1586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6214286.\nAnswer: 2, 13, 457, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 860266*u**3 - 3739918*u**2 wrt u.\nAnswer: 5161596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2495*l - 177074. Determine c(-71).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 88, 98, 112, 130, 152, 178?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 0*q - 4*q)*(-2 + 6 - 2)*(-q**2 - 4 + 0 - 3*q**2).\nAnswer: -8*q**3 - 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*r - 43*r + 75*r as t + l*r and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 278305\/18 + -15466. What is the common denominator of ((-2)\/(-112))\/((-7225)\/1802 - -4) and c?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 15 = -3*k + 66, -5*k = s - 83. What is the highest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -6. Suppose y = 9 + 29. What is the remainder when y is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 0*h**5 + 0 - 1\/10*h**6 + 0*h**2 + 5\/14*h**7 - 69*h - 1\/4*h**4 + 0*h**3. What is the third derivative of o(p) wrt p?\nAnswer: 900*p**2 - 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5046*b = -7221*b + 123975 for b.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(19*x**4 - 95*x**4 + 42*x**4).\nAnswer: 68*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 9*r**2 + 9*r + 10. Let u be x(-8). Suppose 4*c = -u*f - 46, 0*c - 11 = 2*c - 3*f. List the prime factors of (-834)\/c + 1 + (-2)\/5.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(65\/(-40) + 0 + 2). Find h, given that -24*h**2 + b*h + 14 + 7 + 27*h**2 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -3, -10, -19, -30?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7)*o**0*o)\/((o*((o\/o**(3\/11)*o)\/o)\/o*o)\/o**(-1)) assuming o is positive.\nAnswer: o**(-155\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 9 = -3*u + 2, j + 4*u = 0. Let x be 0 + 3 + -2 - 1. Solve x = 2*m + 3*n + 10, 3*m - n + j = -0*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r. Let o(u) = -u**2 + u + 3. Let m be o(r). Suppose 0 = -m*s + s + 52. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.099 and -59729924.637.\nAnswer: -59729924.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 155, 134, 77, -34, -217, -490?\n\"Answer: -3*g**3 + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 9:37 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqqaqqpsqasqssa. Give prob of picking 1 q and 1 s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**2*t**4 - g**2*t - g*t**4 + 5*t**4 + 28*t**2 wrt t.\nAnswer: -48*g**2*t - 24*g*t + 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 + 55. Suppose -i*h + 11357 + 5993 = 0. Let x = -52189\/6 + h. Calculate the common denominator of -37\/30 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152*i**2 - 154*i**2 + 13 - 44*i**3 - 14 to the form a*i**3 + g + k*i + l*i**2 and give a.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 371027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 5*z**6\/6 - z**5\/20 - 3*z**4\/4 + z**3\/6 - 2*z + 29. What is the third derivative of p(u) wrt u?\nAnswer: 600*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 3. Let q be f(0). What is the closest to q in 0.1, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(12\/7)\/z**(-3\/17))**(-4\/29)*(z**(-9\/7)\/(z\/z**(-1\/5)))**(-18\/5) assuming z is positive.\nAnswer: z**(749538\/86275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 7:09 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32557 (base 13) to base 12.\nAnswer: -447aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23786 (base 10) to base 6.\nAnswer: 302042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l - 30. Let m be r(-8). Let n(p) be the first derivative of 3\/5*p + 3\/5*p**m + 1\/5*p**3 - 4. Factor n(i).\nAnswer: 3*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13436\/349 + -1\/698. Let f = -11596\/7 - -232711\/140. Find the common denominator of f and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23854871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 8*f**2 + 16*f + 13. What is v(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**3 + 2*y**2 - 8*y + 12. Let l be n(2). Let z be (42\/28)\/(3\/l). What is the greatest common divisor of z and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471 a factor of 1669219692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*w + 2*w. Suppose 0 = 30*f + 33*f - 630. Let v = w + f. Solve x - v = -0*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2892*l**3 + 1288*l**3 + 388*l**2 - 2 + 6*l**3 + 2*l - 3470*l**3 wrt l.\nAnswer: -30408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**4*u - 5789*i**2*u + 45*i*u - 46904883*u with respect to i.\nAnswer: 4*i**3*u - 11578*i*u + 45*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 599550 (base 11) in base 7?\nAnswer: 11033461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + 2 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 2123040?\nAnswer: -2123023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 41*p**2 - 80*p + 222. Determine o(-39).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38902*o**3 - 28633*o**2?\nAnswer: 233412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2918 - 2916. Solve -12*i - 12 = -9*i + 5*a, 0 = 3*i - o*a + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/11)*i)**(38\/3)*(i\/(i*i**(-1\/5)*i)*i)**(2\/21))**(1\/87) assuming i is positive.\nAnswer: i**(17312\/100485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5527, 11140, 16851, 22666, 28591, 34632, 40795?\n\"Answer: g**3 + 43*g**2 + 5477*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 457176 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1424 divide 9142961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1049698 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 22*f - 25. Let g be z(12). What is the common denominator of ((-410)\/100)\/(g\/1) and 9\/26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(132)\/sqrt(12) - sqrt(11) - sqrt(11))**2 - (-4 + sqrt(1100))**2.\nAnswer: -577 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -29.2*-5.66\nAnswer: 165.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + (-185)\/(-15))\/(2\/3). Let k = 341 + p. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -25*s - 950. Let l be w(-38). Let p(b) be the third derivative of 38*b**2 + 0*b + 0 + 0*b**3 + l*b**4 + 1\/30*b**5. Let z(x) = 8*x. Calculate z(p(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5\/2 + 1101*m**4\/2 - 12825*m**3 - 8584107*m**2 + 34408959*m\/2 - 17216199\/2 = 0. Calculate m.\nAnswer: -343, -143, 1, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((sqrt(5184)*-3 - sqrt(5184))*-3 - sqrt(5184) - sqrt(5184) - sqrt(5184)))\/((6*sqrt(120)\/sqrt(2) + sqrt(60))\/(-6*sqrt(15)\/sqrt(3))))**2.\nAnswer: 5038848\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - (sqrt(96) + -4*sqrt(96)*4 - sqrt(96) - sqrt(96)))*1)\/((sqrt(144)*-1)\/sqrt(12) + sqrt(12) - sqrt(192)*-1).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:00 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 184 and -0.132.\nAnswer: -24.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23467482301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 176 + -174. Let d be 0 - (2 - 0)\/1. Sort u, d, 1, -3 in increasing order.\nAnswer: -3, d, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 9261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 68, 1474 in descending order.\nAnswer: 1474, 68, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12885 by 5.\nAnswer: 2577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45340 is divided by 171.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4695 - -15537. Is m a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.2, 2\/19, -0.3, -478, -1, 1.05, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -7*w. Let t(l) be the third derivative of 0*l**3 + 1\/120*l**5 + w*l + 2*l**2 + 0*l**4 + 1\/120*l**6 + 1\/420*l**7 + 0. Factor t(k).\nAnswer: k**2*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ba3 (base 16) to base 14\nAnswer: 112b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*f - 15 = z, z - 15 = 5*f. Suppose 0 = -z*b + b - 4. Calculate the remainder when b is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 59. Let l be q(27). Solve 0 = z + l - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -288863\/5 - -57773. Let k = -7 + 4. Let f = 3 + k. Which is the third biggest value? (a) -4 (b) f (c) 0.5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-3 - -4) + -3. Let z = 207 - 206.6. Which is the nearest to 2\/3? (a) r (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 0.33?\nAnswer: 0.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.39 or 3?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 13*p + 12*p + 35, p + 42 = 4*r. Suppose -h - 59 = -5*u - 2*h, -2*u = 2*h - 30. What is the highest common divisor of u and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 37*j**2 + 376*j - 13859. Determine y(35).\nAnswer: 1751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 9. Let l = -12 - 0. Let v be c(l). Solve 5 = 5*f - 4*p, 0*f - 34 = v*f + 5*p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*t = -55*t - 52*t + 151*t - 15*d - 5, -6 = -2*d for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {t: 4, l: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7782701 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2108 divided by -17.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031611 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -5654505.\nAnswer: 5654505.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -26\/15, -5\/4, -1\/2, 0.3, -1\/42 in increasing order.\nAnswer: -26\/15, -5\/4, -1\/2, -1\/42, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106232 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 7, -9, -10 in ascending order.\nAnswer: -10, -9, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3962 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/1 + (2 - 1). Suppose -3*w - 2*o = -34, -4*w + 4*o + 15 + 17 = 0. Let k = w - a. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12211 (base 3) in base 16?\nAnswer: 9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-1 + -1)\/(24\/6)). Let y be -3 + -2 + 57\/11. What is the closest to -0.1 in -1\/7, y, f?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 16*s - 369. Let r be d(19). Let q = -17 - -305. Let w = r + q. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/12)\/(1\/(-6)). Let z = 7 - n. Solve 0 = z*h - 4*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23370 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 9*m + 83. Let a be 3\/(3\/4) - (-1970)\/197. What is g(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 0*r**2 + 3*r**2 + r)*(0*r + 6*r**2 - r - 3*r**2).\nAnswer: 9*r**4 + 6*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tggggggzgttttztgz. Give prob of picking 1 t and 2 g.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 78*o + 2269 = -121*o, -5*o = 5*y + 240 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 3:40 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Suppose -w*k + 1 = 5. Let a(r) = 3*r**2 + 2*r - 1. List the prime factors of a(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -193, -598, -1379, -2662, -4573?\nAnswer: -7238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (13\/273)\/((-6)\/(-72))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3863*c + 3674*c = -957 - 2634 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*31\/62*4\/(-30).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 589 + -4115\/7. Let z = -2 + 16\/7. Let 2*d**2 - 6\/7*d**4 + 2\/7*d**3 - z*d**5 - w + 0*d = 0. What is d?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53487 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -199*q + 208*q + 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 - 4*f**4 + 2*f**4)*(4 + 1 - 6) + (4*f**2 - 2 + 2)*(3*f**2 + f**2 - 6*f**2) - f**4 + 4*f - 4*f.\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**(-2\/5))\/f)\/f*(f\/(f**(2\/5)*f)*f*f*f)\/f)\/((f*f*f*(f**6\/f)\/f*f)\/f*f**(-1\/3)*f*f) assuming f is positive.\nAnswer: f**(-112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*t - 26*t + 47*t - 4 + 3*t + 4 + (-2*t + 0*t + 4*t)*(3 - 3 + 1) + (-2 + 6 - 2)*(14*t + 5*t - 3*t).\nAnswer: 31*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20))**2*-4 + ((sqrt(90)\/sqrt(3) - sqrt(30))\/sqrt(6) - sqrt(5)).\nAnswer: -80 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/3 + 1105*y + 2563694\/3 = 0. What is y?\nAnswer: -2086, -1229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**4\/4 - 4*w**3\/3 + 31*w**2. Let p(u) = -1. Determine -8*p(a) + q(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5, 174\/7, 42\/13?\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:59 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2)*(-8)\/(-3). Suppose 2*o - v*y + 21 = 5*o, -5*o + 27 = 4*y. Which is the third biggest value? (a) -1\/3 (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 4*b - 3*b + 16*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.031 + -0.1196. What is a rounded to three decimal places?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2424 + -1?\nAnswer: 2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 21 = 2*h + h, 3*o = 3. Suppose -13*c + 364 = 52. Suppose r - h = 2*r + 3*q, 3*r = 5*q + c. Solve n + 6 = r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -9*l + 4*l. Put l, -19, 1 in increasing order.\nAnswer: -19, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8268, -16528, -24782, -33030, -41272, -49508, -57738?\nAnswer: -65962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/80*14*(-10)\/(-35)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5882 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 1:05 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 666491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*s - 192653 = -25343. List the prime factors of s.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99354746*d**3*y + 2*d**2*y**3 - 454*d*y**3 - 175*d*y**2 + d*y - 96*y wrt d?\nAnswer: 596128476*d*y + 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 + (27 - 28 - 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 2*r + 11. Calculate x(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20178484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 21814?\nAnswer: 21834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 113 + -98 + 0 + -30.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 105966, 423930, 953870, 1695786, 2649678, 3815546?\n\"Answer: 105988*w**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*a - 0*a. Suppose w = a*w - 36. Suppose 3*d - h = 46, -6*d + 2*h + 60 = -2*d. What is the lowest common multiple of w and d?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(28\/2184 - (-4)\/26). Let d = -236\/615 - 2\/123. Is d not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 689810476 - 689810476 - 2*a. Let c(w) = -4*w - 5. Let h(r) = 4*r + 6. Let i(y) = 4*c(y) + 3*h(y). What is i(g(q))?\nAnswer: 8*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126596 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 6. Suppose n*g - 38 - 124 = 0. Calculate the remainder when 79 is divided by g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*z - 6510 = 117*z. Calculate the common denominator of 423\/30*(-31)\/z and 37\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (22 - -7 - 33)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495981 = 123*p - 501024 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.05+6638104631\nAnswer: 6638104631.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4616 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**4\/6 - 6*y**2 + y. Let i(t) = t**2 - 5. Let w be i(0). Let b(s) = -s**2 - 5. Determine w*d(f) + 12*b(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1479*x - 371*x + 864*x**2 - 378*x - 361*x - 369*x.\nAnswer: 864*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -491*u + 195 - 4449 = -1909*u. Let o = 0 - 0.1. Which is the closest to -0.12? (a) u (b) -2\/13 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 384*(-625)\/(-2) + 0. Round n to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -208355*f*j**5*u**2 - 2*f*j**3*u - 73*f*j**2*u**2 - 4*f*j**2*u + f*j*u**2 + 26*f*j + 10*j**2*u wrt j?\nAnswer: -12501300*f*j**2*u**2 - 12*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*q**2 - 411565*q - 6*q**3 + 411565*q - 2 to m*q**2 + d + l*q**3 + o*q and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 3*a + 11 = 0, 4*i - 9*i + 2*a + 245 - 465 + 234 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*b**2 + 15*b + 14*b + 4*b + 3*b + 12 = 0. What is b?\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19069 is divided by 251?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -710*d - 3549. Let u be t(-5). What is the third biggest value in -0.144, u, -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j*s**3 - 13*j*s**2 - 3*j - 31*s**6 wrt s?\nAnswer: -12*j - 3720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137 - 137.2. Sort -0.6, 4\/3, -2\/9, r in increasing order.\nAnswer: -0.6, -2\/9, r, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6584 + 5*r**3 - 127*r + 6584.\nAnswer: 5*r**3 - 127*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 28 = -4*l + 16*u, -4*u + 10 = -2*l. Solve 0 = -l*k - 13 - 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 2)*(3 + 3 - 2)*(0 - 4 - 3)*((0*x + 3*x - x)*(-4*x**3 + 4*x**3 + x**3) + 5*x**4 - 5*x**4 + 2*x**4).\nAnswer: 560*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.0216937m?\nAnswer: 21693.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, s: 9, y: 4}. What is prob of sequence scy?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 10, -3, -5 in increasing order.\nAnswer: -5, -3, 0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 3 - 2) + -2. Let j be i\/(-18) + (-665)\/(-42). Suppose -u + 101 = 21. Calculate the greatest common factor of j and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, e: 8, m: 1}. Give prob of picking 1 n, 1 m, and 1 e.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvc when three letters picked without replacement from tctnnnvntnnnncnt.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/198248 and 39\/5773973?\nAnswer: 46191784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33883874 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 8. List the prime factors of (-2 - -1 - m) + 3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.90932056 rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -87*s + 577. Calculate i(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + o**2 - 30*o**3 + 12*o**3.\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 80*y**2 - 2*y + 8. Let t be w(6). Suppose 3*s - t = -5*k + s, -3 = -s. Suppose -x - 2*x = m - 182, 0 = 3*m + 2*x - k. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 9:18 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1501 - -2943. List the prime factors of c.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j - 68. What is the greatest common factor of 17 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h - 10 = 18*h. Solve 2*i - 3 = -0*z - 5*z, h = -2*i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*a = 0. Let m be -3 - ((-12)\/3 + a). Put m, -1, -5 in decreasing order.\nAnswer: m, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 i, and 1 d when four letters picked without replacement from oodtidiiidiiid.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**4\/4 - 1353*c. Let v(q) = 6*q + 37. Determine n(v(j)).\nAnswer: -108*j**2 - 1332*j - 4107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1364)\/341*(-1)\/1030)\/(6*(-8)\/240)\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -31*q**5\/20 - q**4\/6 + q**3\/6 + 4*q**2 - 128*q. Find the second derivative of u(p) wrt p.\nAnswer: -186*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493526058.\nAnswer: 2, 3, 109, 754627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (289\/(-5) - -3) + 15\/(-75). Let t(j) = 190*j**2 - 55*j - 55. Let z(k) be the first derivative of 7*k**3\/3 - k**2 - 2*k + 4. What is s*z(p) + 2*t(p)?\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -367 not equal to 45803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -26877 + 25671 + 5*f - 4*f in the form v*f + n and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 15*f**2 + 2 + 5*f**3 - 2 + 1409*f - 1429*f = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -4176 (c) -1\/4 (d) -4\/5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56375\/8 - -7151. Let y = t - 104. What is the nearest to 1 in 0, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12209*w**4 - 256 wrt w.\nAnswer: -48836*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -315.\nAnswer: -38\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4263 and -0.045.\nAnswer: -191.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195711.\nAnswer: 3, 89, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 527482489 to the nearest integer?\nAnswer: 22967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08844123 to five decimal places.\nAnswer: 0.08844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88626005 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 5) in base 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-63)\/(-6))\/7 - 1. Let i be 76\/112 + (-9)\/21. What is the closest to i in -1, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3.6. Let q be 6\/8*(-48)\/72. Sort -4, q, l in ascending order.\nAnswer: -4, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - r - 5. Let w be x(-3). Suppose 6*l = w*l. Suppose -4*j - 8 - 4 = l. Let f(z) = 4*z - 4. Let g(u) = u - 1. What is j*f(c) + 14*g(c)?\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11756 - -11756. Let u(x) be the second derivative of 0 + d*x**2 - 5\/3*x**3 - 19\/12*x**4 + 10*x. Find the second derivative of u(p) wrt p.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.1 + 18. Let t = o - -1.1. Let l = -1 + 3. What is the nearest to -2 in 5\/2, l, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or -3781308?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 7 = -z, 3*z = -4*p + z + 22. Let i = p - 0. Solve i = -5*l + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.5, -2961.4 in descending order.\nAnswer: 0.5, -0.4, -2961.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 13 + 17. Let j(n) = 10 + n - d. Let a(u) = -6 + 6 - 3*u. Determine a(j(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3333697, -6667382, -10001067?\nAnswer: -13334752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*u = -211*u + 20. Is (u\/6)\/((-4)\/2946) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147718603?\nAnswer: 47, 3142949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/17)\/((w*w**12)\/w) assuming w is positive.\nAnswer: w**(-203\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 287521579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2318577.\nAnswer: 3, 772859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4) + (-5)\/20. Let o be n + -3*(-2)\/2. Suppose -5*s - 15 = 3*q - 45, 3*q = 4*s + o. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 7.88?\nAnswer: -8.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1499*g*x - 659*g - 5369676*x wrt g.\nAnswer: 1499*x - 659","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -11897 - 51279. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8*(-6)\/12)\/(-1). Suppose 0 = -z*i + 6*j - 11*j - 8, -2*j = -8. Sort 1, 3, i, 0.\nAnswer: i, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/260)\/((-5)\/(60\/9)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -57*v**5 + 5*v**3 - 57*v**2 + 5. Let t(z) = 86*z**5 - 7*z**3 + 85*z**2 - 7. Let c(m) = 5*t(m) + 7*y(m). Find the third derivative of c(g) wrt g.\nAnswer: 1860*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 205\/936 + 1\/312. Which is the second biggest value? (a) -2\/3 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f = 5*s + 164, -2*s - 70 = 3*f. Let x = s - -161\/5. Sort x, 5, 1 in increasing order.\nAnswer: x, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -73246 and 1.5?\nAnswer: 73247.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*s + 0)*(s + s + 2*s) - s**2 + 5*s**2 - s**2 + (2 - 3 + 3)*(3*s**2 - s**2 - 4*s**2) + (6*s - 4*s + 0*s)*(-4 - s + 4).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -2*w**4\/3 - 4*w**3\/3 + 13*w**2\/2 - 4*w + 59. Let a(u) = -2*u**2 - 2*u + 3. Let m = -22 + 31. What is m*a(o) - 2*s(o)?\nAnswer: -2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/7, -0.53, 2\/13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1252826 rounded to 4 decimal places?\nAnswer: -0.1253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3809277ug?\nAnswer: 0.0003809277","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*z + 44, 5*d - 2 = -2*z + 38. Is d\/(-15) - (-2151)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/9)*(v*v\/(v**(2\/11)\/v))\/v)\/(v**(-3)*v\/v**(-2\/3)))**19 assuming v is positive.\nAnswer: v**(5510\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4 - 2508996*x**3 + 524590919658*x**2 - 1049174312340*x + 524585901675 = 0.\nAnswer: 1, 418165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0. Let s be 65\/52 - (-1)\/(-4). Let i(t) = 2*t**3 + 15*t**2 + 7*t - 5. Let d be i(-7). Which is the closest to p? (a) d (b) 0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 51, 116, 235, 426, 707?\nAnswer: 1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(sqrt(400)\/sqrt(288))\/sqrt(10).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31127545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1008 and 576?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 10*m - 6*m = 12, 3*u + 2*m = 16. Suppose 7*j = -u*y + 2*j - 7, 2*j + 6 = 0. Let c be (-10)\/(-4)*(-12)\/(-10). Solve y*p = c + 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/208)\/(-2*(-1)\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44\/5 of a millennium?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -7*f + 90. Suppose 0 = -3*g + 5*b + 114, -12 = g + 3*b - 36. What is the smallest common multiple of g and f?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0146 and 423.\nAnswer: 422.9854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/(-48) - 2\/(-4). Suppose 16*p - 1566 - 6642 = v. What are the prime factors of p?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162189365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -y + 21, -3*g + 194 = -3*y + 185. Which is smaller: 30\/11 or g?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -164924, -164909, -164888, -164861, -164828, -164789?\n\"Answer: 3*n**2 + 6*n - 164933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -1056 times 0.0591?\nAnswer: -62.4096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 5*v + 868 - 3881 = 72*j, 170 = -5*j + 2*v for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 378962985 to the nearest one hundred thousand.\nAnswer: 379000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*a + 4. Let m be a\/(-5)*-10*1. Is m < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1859\/4 or 465?\nAnswer: 1859\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6298, 6358, 6458, 6598?\n\"Answer: 20*c**2 + 6278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2*h - 38. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*t + 22 = 72*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 782.48493ms to hours.\nAnswer: 0.000217356925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(9)*3) + 3.\nAnswer: sqrt(3)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2778685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence daac when four letters picked without replacement from {d: 3, a: 3, c: 2, k: 2, p: 1, j: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(98) + -2 - sqrt(18)\/(sqrt(27)\/sqrt(3))))*1)**2.\nAnswer: -36*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -343?\nAnswer: 6\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1 - (-7 - -8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-21)*(-14)\/(-4). Suppose -z*u + 24 + 72 = 0. What is the greatest common factor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*((0 - 4) + 11709\/(-6)). Suppose -11*q - m - 6132 = 0. Let x = q + 1682. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2005 divide 4494766895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53\/6? (a) 2\/121 (b) -0.35 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.160205 - 12.159935. Let i = 10 + m. What is i rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 12*b + 10. Let m be -2*(-3 + (-10)\/(-4)) - -271. Let c = m + -253. What is the remainder when l(9) is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 17796744.63us?\nAnswer: 0.000029425834375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/1067 and 85\/776.\nAnswer: 8536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -4)\/((-5)\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 105901 times -5\nAnswer: -529505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2\/23, 2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4225, -3864, -3483, -3076, -2637?\n\"Answer: b**3 + 4*b**2 + 342*b - 4572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 5*p**2 - 5*p - 1. Let d be z(3). Does 3 divide -4 - 0 - -10 - 0\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(1700) - (sqrt(1700) + -2)) + sqrt(1700) + sqrt(1700)) + -3*sqrt(153)*-2)**2.\nAnswer: 936*sqrt(17) + 103464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103392 and 4626433?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597648465.\nAnswer: 5, 7, 45647099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 95 = -3*i + 31, 3*b + 196 = 5*i. List the prime factors of i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/3609 and 151\/2742840.\nAnswer: 2742840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9601520 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -262. Let v be (h\/(-50))\/(2\/5). Let w = v + -8. Is 1\/6 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 36. Suppose 0 = 3*h - x + 1. Suppose -8 = -6*r - h*r. Solve 2*b - r = 3*k, 3*k + 4*b - 3 = 8*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 0*j + 0 - 1\/6*j**4 - 2*j**2 + 0*j**3. Let m(t) be the third derivative of -t**5\/20 - 12263*t**2. Determine g(m(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 529683523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = l - 1 - 4, 5*f + 7 = -3*l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 14. Suppose 0 = 3*r - 4*q - 24, 0 = 5*r - 0*q - 4*q - 48. Let a be s(r). Solve b**4 + 6*b - 6*b + 0*b**a + 2*b**3 + b**2 = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -122.044 - -123. Let i = 0.044 + o. What is the closest to -2\/5 in 0.3, i, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -d - 2*i, -34*i + 10 = 2*d - 51*i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -685*m**2 - 112*m**2 - 50*m**2 - 506*m**2 - 470*m**2.\nAnswer: -1823*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 d when three letters picked without replacement from {p: 1, r: 3, x: 1, d: 2, h: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1920669.003 rounded to the nearest 10000?\nAnswer: -1920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 57540522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + (-12 - 1) + (-4 - -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-1 + 2)\/(-1). Suppose -3*n + o - 2*o = -24, a = 5*n - 5*o - 20. Suppose -2*x - 4*j - 13 = x, -4*x = -2*j - 12. Is n equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.67181 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o + 50 = 3*d, -48 = -3*d + 3*o. What is the remainder when 0 + (3\/2)\/((-6)\/(-232)) is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-19))\/(((-4104)\/(-95))\/27*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Suppose b*i = -3*h + 23 + 28, -i = 2*h - 22. What is the remainder when 22 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 29*u**3 + 2. Let g(k) = -63*k**2 - 3 + 426*k**3 - 455*k**3 + 63*k**2. Give -2*g(m) - 3*x(m).\nAnswer: -29*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8247 and 33?\nAnswer: 90717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5656651?\nAnswer: 7, 11, 13, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1046446 or 1046445?\nAnswer: 1046446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 1. Suppose b = -3*h, h - 49 = -6*v + v. What is the remainder when 27 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*i - 165 = -466*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16211 + 0.164. Round m to four decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624259 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**14*w*w))\/w**(-2\/3) assuming w is positive.\nAnswer: w**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - d - 2. Determine o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 5\/4, 0.7, 0, 0.4, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-108)\/(-5) + 30\/(-50). Suppose 2*b = 5*g - 4, -2*g - 5*b + x = g. Suppose -5*q + 0*z = -3*z - 15, -2*q + 3*z = -15. Solve 0*n = n + g*h, -h = q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {l: 4, e: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(11) + 3 - (sqrt(121) - 1*sqrt(121))\/sqrt(11))**2.\nAnswer: 18 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.78 + -0.22. What is the closest to s in 0.3, -4, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142477699, -142477696, -142477691, -142477684, -142477675?\nAnswer: -142477664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by (-75394)\/1265*(-5)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*t**2 - 5*t - 51*t**2 + 5*t to the form p + q*t**2 + o*t and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from gggglggkg?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -135062 and 280.1308094.\nAnswer: -134781.8691906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -2*l**3\/3 + 442. Let v(o) = -197*o**2. Determine g(v(z)).\nAnswer: -77618*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5277 and -0.4.\nAnswer: 2110.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 13*m - 1026*m**2 - 4*m - 6*m to t*m**2 + o + h*m and give t.\nAnswer: -1026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -7, 2, 0.616, 0.177?\nAnswer: 0.616","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, -823, -1204, -1585?\nAnswer: -1966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2296 divided by -3.\nAnswer: 2296\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y - 42. Calculate n(-15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 18. Let d(c) = -10*c**2 + 32*c + 192. Let n(s) = 3*s**2 - 10*s - 60. Let q(f) = -5*d(f) - 16*n(f). Give q(t(r)).\nAnswer: 2*r**2 - 72*r + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 315697, 3, 540, 0.\nAnswer: 0, 3, 540, 315697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -12056.03145 to zero decimal places.\nAnswer: -12056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 8*l**2 + 11*l + 6. Let x(c) = -c**2 + 9*c - 14. Let z be x(4). Let p be y(z). Solve p = 4*w - 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 7*c + 9. Is 0 + 65 + (-2)\/c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2683, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8485?\nAnswer: 5, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Suppose -3*g + 7 - p = 0. Suppose -6 - g = 2*z, 4*l + 2*z = 1719992. Round l to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*x + 2*x - 35, -17 = -3*x + p. Let j be x\/(-6) - 92\/6. What is j rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.4*-0.9.\nAnswer: -4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 6:58 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 - -85. What is the nearest to n in 2\/9, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 8185.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d - 12 = 0. Suppose -28 = -4*b - 4*l, d*b + 2*l = 5*l + 42. Suppose -4*a + b*a = 725. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 17*r**3 - 3*r**2 + 15*r**3 + 0 as v*r + k*r**3 + m*r**2 + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjfghoog. What is prob of picking 2 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**5 + f**5 - 4*f**5 + (f**2 - 2*f**2 + 3*f**2)*(2*f**3 + f**3 - 5*f**3) + 3*f**4 - 3*f**4 - f**5 - 369*f**5 + 367*f**5 + f**3 + 10*f**3.\nAnswer: -6*f**5 + 11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308, -299, -278, -239, -176, -83, 46?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 30 = -4*p, 0*u = p - 4*u - 13. Suppose -2*b + p = -17. What is the least common multiple of 4 and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/10)\/(5\/50*-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 f when two letters picked without replacement from {u: 1, z: 1, x: 1, d: 2, f: 1, m: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541 = 10*i - 591. Solve 2*o + 3 = 4*l - i, -5*o + 8 = -3*l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4608\/(-24)*((-1)\/6)\/(1\/(-8)*-4)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) 3 (b) -1 (c) -88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -15. Let f = 6 + m. Suppose 0 = -f*k + 21 + 17. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 25*a + 63. Let z be b(22). List the prime factors of (-6)\/9 + (-1 - 3410\/z).\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 - 22*f - 13. Let l(x) = 3*x**2 - 21*x - 13. Let s(i) = 5*l(i) - 4*u(i). Is s(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 6) + 0 + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 0*h + 32*h - 52 = 89, -98 = 3*z + 5*h + 43 for z.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1272\/264 - (-4)\/(-22)*-1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18288.64 minus -434?\nAnswer: 18722.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2430.9 times 208\nAnswer: -505627.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 - 89 = 44*f - f + 150 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 11:02 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49914 = 7028*a + 13338 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 4*c + 4*r, -3*c - 336 = -3*r - 342 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142 + -146. What is the smallest value in 2, 2\/31, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -568992?\nAnswer: -568991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*l + 24, -4*l - 3 + 40 = 5*c. Solve l*i - 14 = 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggttgtrr. What is prob of sequence tggg?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-21)\/7 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/12491016 and -29\/39.\nAnswer: 162383208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 875000112 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 4:29 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + -17)\/(-3) + (113 - -2). Let w = -102 + k. Calculate the remainder when 50 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -g - 3*x - 5, -4*x = -16. Suppose -3*t - 4*p + 7*p = -30, 29 = 5*t + g*p. What is the second derivative of 39*i + i + 27*i**4 - t*i wrt i?\nAnswer: 324*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - 4 + 6 - 5 - 1250*w**2 - 1068*w**2 + 2728*w**2 + (w - w + w)*(-2 + 6 - 2)*(-2*w + 0 + 0).\nAnswer: 407*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(-5)*n)\/n*n*(n\/n**(-1\/6))\/n*(n**(1\/3))**(-14))**(-3) assuming n is positive.\nAnswer: n**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1347175 >= -1347170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2627960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*y**2 - 65*y**2 + 123*y**2 - 1 + 185*y)*(2*y + 3*y - 3*y).\nAnswer: 6*y**3 + 370*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 - 35)*16\/((-512)\/1).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.5. Let r = 2 + -2. Let d = r - 1. Which is the nearest to 0? (a) 1\/4 (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3819 (base 10) to base 11\nAnswer: 2962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1512 and 826.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 31 = 4*a, 3*a = -0*o + o - 7. Let y be 312\/44 + 28\/a. Sort -1, 1\/4, -4\/7, y.\nAnswer: -1, -4\/7, y, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-35))\/(m**(-2\/53)*m))\/((m\/(m**(-15\/2)\/m*m*m))\/m**(-2\/9)) assuming m is positive.\nAnswer: m**(-40721\/954)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, 4, 0 in ascending order.\nAnswer: -51, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -66*h**2. Let o(y) = -3*y**2. Calculate o(k(z)).\nAnswer: -13068*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 172 = -3*f - 21, -9*f + 6*f + 7*f - 194 = 2*w for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -10*o + 16. Suppose 6*a - 18 = a - 2*n, 2*n - 6 = a. Solve 4 - o = a*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -2\/1061 (b) -9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*i - 1830*i + 14535 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2)**(3\/5)*b*b**(-1\/14)*b\/(b\/(b\/(b*b**13*b*b*b))) assuming b is positive.\nAnswer: b**(-971\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-8)\/(-14) + (-1679)\/(-4669)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16427, 31948, 46567, 60284, 73099, 85012, 96023?\n\"Answer: -451*s**2 + 16874*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*h = -2*g - 747, 0 = -g - 4*h + 239. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53070932?\nAnswer: 2, 2411, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 85 = 5*b, -b + 4 - 3 = 0. Let r be s\/4*(0 + 1). Find the common denominator of (-4)\/r + 212\/(-30) and -65\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -24*d + 78 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven halves of a meter?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50314235*r**2 + r - 7558561?\nAnswer: 100628470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 27305160.\nAnswer: 27305160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b = -15*b. Solve -4*f + 0*f = b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.41 - -14.30316. Let o = y - -0.106. Round o to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*x, 2*x = 13*u - 11*u - 534. What is the remainder when u is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1902, -1, 2, 5012, -4, -5 in decreasing order.\nAnswer: 5012, 2, -1, -4, -5, -1902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 3*a**5 + 3*a**4\/4 - 5*a**3 - 3*a**2\/2 - 87. Determine o, given that l(o) = 0.\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((45870\/(-9))\/(-10))\/(1\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, -15 in decreasing order.\nAnswer: 11, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/8 + 157*m**3\/8 - 317*m**2\/8 + 159*m\/8.\nAnswer: m*(m - 1)**2*(m + 159)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18, -39, -60?\n\"Answer: -21*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00039731667 rounded to 5 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l. Let v(p) = 162 + 10*p**2 - 186 - 31*p - 21*p. Let z(a) = 4*q(a) - v(a). Factor z(f).\nAnswer: -2*(f - 6)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 - 1022?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l. Let y(u) = 318973*u. Calculate y(x(s)).\nAnswer: -637946*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 r, and 1 o when three letters picked without replacement from rcbcrrcarrorcrarr?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 - 15*b**2 + 9*b - 13. Let t be n(7). Let j(v) = 3*v - 11. Determine j(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6000995\/(-195))\/77)\/((-11)\/3)\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -446, -51, 344, 739, 1134?\nAnswer: 1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 0.1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, c: 4, l: 3}. What is prob of sequence gl?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 319380820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 8*u**2 - 7*u + 5. Let s be i(7). Let x be (1 - 2)*3 + s. Let r**x - 1\/3*r**3 - 2\/3*r + 0 = 0. Calculate r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324) + (2*sqrt(324) - sqrt(324)))*1)\/(sqrt(96)\/sqrt(200)).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 6*y**2 - 6*y + 1. Let b be x(-7). Let a = b + 8. Solve 0 = -3*f + a + 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s. Let o(x) = 8775*x. What is o(w(n))?\nAnswer: 17550*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0, 4, 3, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 8*a**2 - 9*a - 10. Let j be c(-9). Let m be (-4)\/j + (-10)\/25. Solve -5*b + 20 = 5*n, n + m*n - b = 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1578 - 6\nAnswer: -1584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p - 8. Let c be h(-14). Suppose -3*u + 4*v = v - c, -6 = 3*v. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w**2 + 10. Is 79 a factor of g(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 6*v**2 - 6*v**2 + 0*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(1 + 0) - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -223008061*a**3*v + 324*a**2*v + 195652*a*v wrt a?\nAnswer: -1338048366*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + 15 - (91 + -6 + 7).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 363 - 27589\/76. What is the nearest to 1\/2 in s, 1\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 141 - 29. Calculate the remainder when 41 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1094, 7, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -483917 + -98?\nAnswer: -484015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -5. Suppose -4*q + 12 = -u*q. Solve 0*f + 12 = q*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -217*v**3 - 11*v**2 - 7*v + 783179?\nAnswer: -651*v**2 - 22*v - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 555072 and 2436?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 15051 + 13271 = 0. Let o = g - -58673\/29. Is o smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((-16)\/(-32)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 14*t**2 + 12*t + 15. Let s be j(13). Suppose 0 = s*q - 7*q + 10. Solve q*h + 2*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(70\/5))\/((-1)\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = h - 5*h. What is the highest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.014 + -0.214. Let x be (-1)\/(-3)*(-4)\/(-10). Let c = 444.4 - 444. What is the nearest to 1\/2 in c, h, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**3 + 2*x**3 + x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + (sqrt(7) + 1 - sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 666*d - 116090 = 647*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwh when three letters picked without replacement from hwwhdughhhhwddhghhd.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -439.58 + 434.58. Which is the second smallest value? (a) 121 (b) 8 (c) 0.2 (d) -2 (e) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -81, -747, -1859, -3417, -5421?\n\"Answer: -223*f**2 + 3*f + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-518537.16.\nAnswer: 207414.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.06, -4213.4, 1 in decreasing order.\nAnswer: 1, -0.06, -2, -4213.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) - (-50)\/8. Suppose x = -3*o, -2*k + 2*o + 6 = o. Suppose 0*q = k*q. Solve q*w - 25 = -l - 4*w, w = -4*l + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -8*r - 4. Let q be w(-3). Let n = q - 15. What is the second smallest value in 3, -2\/11, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7 - 3 + 8*c + 3 - 9. Let f(b) = 2*b. Give f(m(n)).\nAnswer: 16*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -15 (b) -0.2 (c) 3\/82 (d) -0.3 (e) 2\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 414, -1, 134\/7 in descending order.\nAnswer: 414, 134\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 + -132. Let s = 0.1 - 0.2. Suppose -2*h - 12 = -3*d, 9 = 3*h + 2*h - d. What is the nearest to -1 in h, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -272*f**7\/21 + f**6\/15 + 3*f**4\/4 - 7*f**3\/3 + 67*f. Find the third derivative of s(a) wrt a.\nAnswer: -32640*a**2 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 6.7. Let t = 1 - 0.9. Let q = -0.03884 - -0.53884. Which is the biggest value? (a) q (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f + 4. Let i be 3\/(-12)*-2*-34. Let j = i + 10. What is the tens digit of u(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -36, -67, -100, -129?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1026834 and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**5\/20 + v**3\/2 + 3*v**2\/2 + 10*v. Calculate b(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8787 = n + 2*u - 22831, -4*n = 4*u - 126472. List the prime factors of n.\nAnswer: 2, 15809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449 divided by 2?\nAnswer: 449\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -64. Let m(b) = -43*b + 12. What is the tens digit of m(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 7, -1, 11 in descending order.\nAnswer: 11, 7, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*d**3 - 2*d + 474 wrt d.\nAnswer: -534*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.69 - 0.29. Let t = -3 + s. Let k be -7 + (-16)\/(-4) + 0. Which is the closest to 1\/2? (a) t (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031600 (base 8) in base 13?\nAnswer: 98421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564209 is divided by 133.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 88 = -w. Let b = -1221 - -9737\/8. Find the common denominator of b and (-4)\/18*w\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 214904, -3, 4.\nAnswer: -3, 2, 3, 4, 214904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011111110100000111011 + -1101?\nAnswer: -1011111110100001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10096, 20525, 31238, 42235, 53516, 65081?\nAnswer: 76930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 29481.3721 to the nearest ten.\nAnswer: 29480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3263 is divided by 3235?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59198197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60? (a) -0.5 (b) 0.0097 (c) 1 (d) -11\/3 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 24 = 5*w - w, 2*w = t. Let m(x) = x**3 + 5*x**2 + 2*x - 6. Let u be m(t). Solve 4*y - 18 = -u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4346803 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)*-2*5)\/sqrt(3) + ((sqrt(114)*-1 - sqrt(114))*-6)\/sqrt(6) - (sqrt(228)\/(sqrt(6)*-2))\/(2*sqrt(8)\/sqrt(4)))**2.\nAnswer: 1539\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -11*d + 173. Let j = 10567 + -10549. What is x(j)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**0)\/w)\/w)\/w)\/w**(5\/2) assuming w is positive.\nAnswer: w**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3684091 is divided by 176.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkwykmjj. Give prob of sequence kmk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 11*i**2 - 16*i + 24. Let c be l(-13). Let a = c + -356. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (512 + 32 - 127)*((-4 + 5 - 3)*(11*c + c + 2*c)*(2 - 3 - 1) - 1 + 1 - 2*c) in the form h*c + m and give h.\nAnswer: 22518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 3*s - 2. Find the third derivative of -15*k**2 + s*k**2 + 14*k**5 + 8*k**2 wrt k.\nAnswer: 840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-3674530.\nAnswer: -734906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 - 3238897\nAnswer: -3238897.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*i + 93744 = 0, 21*q - 492276 = -47*i + 46*i. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/96)\/(110\/165).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -11, 5, -201, -4 in decreasing order.\nAnswer: 5, 1, -3, -4, -11, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(150\/(-10)))\/((-2)\/12). Which is the nearest to -1\/5? (a) -3\/5 (b) -0.5 (c) g (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -u - 6, u + 4 = -3*k + 2. Suppose -11*i + 8*i = -12. What is the highest common divisor of u and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24204, 47292, 70380?\nAnswer: 93468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 274*j**3*r**6 - 5*j**3*r - 19*j**3 + j**2*r**2 + j**2 + 3*r**6 wrt r?\nAnswer: 32880*j**3*r**3 + 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72403\/9 - -8049. Let p be ((-69)\/12)\/(2\/8). Let w = -8 + p. What is the common denominator of h and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*x + 36. Let s be (-51)\/17 + 1 + x. Is s greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 109. Let c = u - 41. Suppose r = n + c*r - 6, -6 = -2*r. Solve -g - 2 = -n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10100210 - 2?\nAnswer: 10100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*h + 68 = 0, 5*h - 59 = -4*l + 23. Let y = l + -11. Suppose a + 2 - 3 = 0. Solve -y = 4*s + a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2 + 9*b**2 - 4*b**2 + 2*b**3 - 8*b**2 wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 208 + -112. Suppose 0 = -2*p - 2*s - 30, -4*p + 3*s - k = -2*s. Is p greater than or equal to -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -1.2, 60, 0.5, -1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 386, 555, 696, 797?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + a - 12. Let q = 0.626 - 0.826. Which is greater: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -12 - 38\/3*x**3 + 0*x + 0*x**2. Let o(r) = -2*r. What is o(q(h))?\nAnswer: 76*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 + 74 - 150 - 59*k**3.\nAnswer: -59*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-169)\/(-91)*(90\/54*-21)\/(-1)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-7))\/((30\/35)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12719 and -4.\nAnswer: -50876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-s**3 + 4*s**3 - 4*s**3) - s**3 + s**3 + s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 times 51072?\nAnswer: 1378944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 396365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -72. What is the greatest common factor of 270 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**(-4)*l*l*l)\/l*l*l)\/(l*l\/l**(4\/5)) assuming l is positive.\nAnswer: l**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.085 (b) -2 (c) 0.01 (d) -2\/9 (e) 1\/7 (f) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 90*i**3 + 84*i**3 - i**2 - 169*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7524.666 hours in days?\nAnswer: 313.52775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48665?\nAnswer: 5, 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2\/11, -5, -0.4, -0.9 in decreasing order.\nAnswer: 2\/13, -2\/11, -0.4, -0.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42133\/4616 - -3\/1154. Find the common denominator of m and -39\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 142265866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099947017?\nAnswer: 13, 907, 93287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 228107341246 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3)*(1 - 1 - 2)*(-29*w - 38*w + 16*w) - 5*w + 2*w + 7*w.\nAnswer: -302*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(192) - ((sqrt(24)\/sqrt(4))\/sqrt(2) - (sqrt(3) + sqrt(12))*6))**2.\nAnswer: -150*sqrt(3) + 1884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236292, 236293, 236294, 236295, 236296, 236297?\nAnswer: 236298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**5\/540 + 41*a**4\/216 + 43*a**3\/27 - 312*a**2. Factor u(r).\nAnswer: -(r - 43)*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 364 - -6?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awwwawawwaawaaaa. Give prob of sequence awww.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 + 1689*i - 3497*i + 1769*i)*(4*i**3 - 3*i**3 - 4*i**3) in the form v*i + q + p*i**3 + u*i**4 + h*i**2 and give u.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*r + 23*r + 240. Suppose -4*d = -2*c + r, 0 = -6*c + 2*c + d + 48. Solve 3*j + 2*j + 3*s + c = 0, 8 = -4*j - 2*s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 3.21?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**4 - w**4 + 2*w**4 - 2*w - 2*w**4 + 2*w + (3*w - 4*w + 3*w)*(-3*w**3 + 4*w**3 + w**3))*(w + w + 7*w) + (-2*w - 3*w**4 + 2*w)*(4*w + 2*w - 4*w).\nAnswer: 21*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((7625\/(-300))\/61)\/((-6)\/(-16))\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42074316.\nAnswer: 2, 3, 31, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (-34 + -5)*1025\/(-1425)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (11 - -39) + -12?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 11*k - 13. Let o be h(11). Let q = o - -134. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/48)\/(44*10\/(-320)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 4 - 0) + (-20 - (70 - 108)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 > -499571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.44 - -0.52. Which is the third biggest value? (a) q (b) 0.05 (c) 1\/10 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 512 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 - 24344639*r - 592661448040321\/2.\nAnswer: -(r + 24344639)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 45 = -27*g, -3*g + 10*u = -16*u + 28*u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/53)\/d)\/(d**(1\/2)*d) assuming d is positive.\nAnswer: d**(-261\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 7*q**2 + 8*q + 261. Calculate g(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1024489*r**2 - 2*r + 357049 wrt r.\nAnswer: -2048978*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and 0.101?\nAnswer: -0.01212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 195*t**2 + 10*t - 6. Let z(d) = -584*d**2 - 31*d + 16. Determine -8*w(a) - 3*z(a).\nAnswer: 192*a**2 + 13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -0*z - 3*z. Suppose -5*x - z + 58 = 0. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -463, -9, -2 in ascending order.\nAnswer: -463, -9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 529, 530, 539, 562, 605, 674, 775, 914?\n\"Answer: n**3 - 2*n**2 + 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 134 - 1225410134?\nAnswer: -1225410000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -494605017 divided by 54956113.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2\/9*i**2 + 800 + 80\/3*i = 0.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d - 20*d = 0. Suppose 0 = 4*w + 6 + 6. Put d, 3, w in decreasing order.\nAnswer: 3, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 42 = 5*j - 48, -3*j = 5*b - 22. Let r(u) = 4 - 18 - 9 + 2*u + 2. Let z be r(j). Solve -2*v + 8 = -5*s - z, -4*v - 9 = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914832?\nAnswer: 2, 3, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 250?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 2*u + 1, -5*u + 35 = -6*m + m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 1. Let t(o) = 9*o**2 - 7*o - 7. Let y(d) = -5*r(d) + t(d). What is the hundreds digit of y(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -3, 5\/3, 4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32490869 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 32575031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**2 + 7*u + 7. Let y(h) = 2*h**2 - 4*h - 4. Suppose 1 = -2*d - 7. Determine d*n(b) - 7*y(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/x**(-4))\/x*((x\/x**9)\/x)\/x)\/((x*(x\/x**(-1\/4))\/x)\/x*(x\/(x\/x**(2\/9)))\/x))**(3\/4) assuming x is positive.\nAnswer: x**(-161\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3362*d**3 + 1114*d**3 + 1135*d**3 + 57*d + 1115*d**3 - 51*d.\nAnswer: 2*d**3 + 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19985339 is divided by 6265.\nAnswer: 6254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)*v)**(-1\/9)*(v**(-1))**(4\/5))**1 assuming v is positive.\nAnswer: v**(-31\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.5, 3 in increasing order.\nAnswer: -0.5, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 11*u**2 + 10*u. Let j be f(-10). Suppose j*a - 3*a = 0. Suppose 9 = 3*x - a. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/3))**(5\/9)\/(w*w**(-1)*w*w)**(2\/5) assuming w is positive.\nAnswer: w**(-83\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -11*h + 14508. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84495 (base 10) to base 11.\nAnswer: -58534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 271933507?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*m + 1 + 10*m + 2 to the form j + h*m and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*d**3*r*s + 8345*d**3*s**3 + d**3 - 3590*d**2*r*s**3 - 4*d**2*r + d**2*s - 2*r + 1989*s wrt s.\nAnswer: 50070*d**3*s - 21540*d**2*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2 + 9510*s - 9508 = 0. Calculate s.\nAnswer: 1, 4754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 25*q + 38. Let u = 216 - 207. What is the smallest common multiple of u and k(5)?\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 5*q**2 + 8*q - 9. Let c be u(6). Suppose -2 = -v + c*v. Are v and 3\/8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.001 or 1472.5?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(68) + -2*sqrt(68) + 1 + 3 + -4 + sqrt(68)*-1)**2.\nAnswer: 16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 1\/24*x**4 - 30*x + 0 + 0*x**3 + 2*x**2. Let s(c) be the third derivative of -c**5\/15 - c**2. Give s(p(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.3 and 1.855185 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p + 25. Suppose -3 + 9 = o. Let c be m(o). Let d(s) = 2*s**2 + 2*s - 1. Let i(a) = -4*a**2 - 5*a + 2. What is c*d(x) - 2*i(x)?\nAnswer: -2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/4*8*(-67)\/((-32696)\/183)*2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d + 180. Let a(k) = -k**2 + 13*k - 40. Let i be a(8). What is the tens digit of q(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/22 and 113\/271813370.\nAnswer: 2989947070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*p + 252 - 324 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 305371, 305373, 305377, 305383, 305391, 305401?\nAnswer: 305413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4) + (-13)\/(-4). Let u = y + -2. Solve 2*w - 4*h = -2, w = 4*h - 4 - u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -404 - (18 + -5 + -7). Let i = f - -413. Suppose -2\/3*y**4 + 0*y**2 + 4\/9*y**i + 2\/9*y**5 + 0*y + 0 = 0. What is y?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/1752 and -87\/1394008?\nAnswer: 4182024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 + 23*d + 4. Let m be x(6). Let i = 0.01 - -0.99. Let v = 0.1 - 0.3. Which is the nearest to 2? (a) i (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 26 = -2*g, -5 + 51 = 3*g + p. List the prime factors of (-105)\/g + (77 - 2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 10:06 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*p**3 - 549*p**3 + 23*p - 53*p + 30*p + 304*p**3.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(35\/10 + -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j - 49. Let i be (4\/6)\/((-201)\/4824). Give d(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*t + 303. Suppose 2*z + 2*g = 72, -g = -4*z + 20 + 104. Calculate the greatest common divisor of z and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12705 - 12392. What is the greatest common divisor of 2 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2682?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-6))\/(6\/4). Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -1353.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 22 = w, 20 = -5*k + 5*w + 50 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1050.5, -2, 19\/2 in increasing order.\nAnswer: -2, 19\/2, 1050.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3080874 divided by -3\nAnswer: -1026958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19851989.\nAnswer: 79, 251291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 3. Let n be j(5). Solve -n*q - 12 = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -59*d**3 + 14*d**2 + 11*d + 4. Give h(-1).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92895 and 2508.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.029 in -1\/2, 1\/5, -24, 2\/9, -1\/3, 4\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/4428 and 45\/2.\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -24*h**2 + 8241*h - 59480. What is c(336)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 3*b - 9. Let f(q) = -q**2 + 4*q - 10. Let p(c) = -3*f(c) + 2*j(c). Let r be p(4). Solve -r*i = i + 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23572 or -2143?\nAnswer: -23572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*d + 97*d - 74*d)*(6 - 1 - 4)*(2 - 10*d + 9*d + 2).\nAnswer: 71*d**2 - 284*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/18*1 - 60625\/(-174600). Let a = 2 - 4. What is the closest to a in q, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*z - 8 = 0, -2*f + 2 = z - 2. Suppose -f*x + 11 = i, 4*x - 5*i = -2*i + 31. Suppose -x*p = -44 - 60. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -124*o**2 + 23*o + 10. Let r be m(-19). Let b = -2321164 - r. Let y = b + 545973. Round y to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 12 = 20. Let n(o) = -o**2 + 13*o - 8. List the prime factors of n(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 - 3*v)*(1 + 2 - 6 + (0 + 2 - 1)*(5 - 3 - 1))*((-3*v**2 - 3*v**2 + 4*v**2)*(4*v - 2*v - v) - 2*v**3 + 0 + 0).\nAnswer: -24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from {i: 7, g: 1, w: 1, l: 10}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j - 2*j - 4 + 4*j + 5. Let f(g) = -2*g**3 - g**2 + 5*g - 7. Calculate -5*b(t) - f(t).\nAnswer: 2*t**3 + t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -105, -80, -55, -30?\n\"Answer: 25*z - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 29976*t**2 + t + 2. Let a be o(-1). Suppose 22*r - a = -5403. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-2 + (-43)\/(-1)). Let o = 74964 - 74923. Is o <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 0*c - 3*c)*(-3*c**2 + 1 - 1)*(3 + 2 - 1) + 19*c**3 + 65*c**3 - 20*c**3.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29851, 59678, 89505, 119332, 149159?\nAnswer: 178986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5254, 4522, 3286, 1546?\nAnswer: -698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {e: 2, r: 1, d: 2, a: 3, z: 3, i: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (2 + -1)) + 0 + 3 + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 621*l**2. Let q(w) = 6*w**2. Calculate t(q(s)).\nAnswer: 22356*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*u + 4*u + 3*a, 2*a - 11 = 3*u. Let t be 1\/5*-1*u. Let t + 0*n - 1\/5*n**2 = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + ((-1*sqrt(320))**2*-4 - ((sqrt(320) + 0)*4 - sqrt(320))) + -6*-2*sqrt(320) + sqrt(320) + ((1 + sqrt(320))*4 - sqrt(320))).\nAnswer: -624*sqrt(5) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49795 divided by -1271.\nAnswer: -49795\/1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76085\/114132 + -1\/38044. Let t = -0.44 + 0.4. Let g = 3.96 - t. Which is the nearest to q? (a) g (b) -12 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38954 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = 4*v. Let l(a) = -3*a + 1. Let f be l(v). Suppose -5*y + 28 = -y - 3*n, f*y + n - 12 = 0. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11079 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-175)\/(-20)))\/((-18)\/(-35))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/34*(-290)\/(-116)*((-1788)\/60 - -31)?\nAnswer: 24\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**3 - 30*u**3 + 22*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 1214 + 91. What are the prime factors of r?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5017224997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 4*k**2 + 4. Let v = -99 - -104. Calculate x(v).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 530?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -7*s**2\/2 + s - 1. Let j = 5 + -8. What is the remainder when l(j) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1) + 11 + -10. Suppose 0 = -v - j*v + 17. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 3250.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -101, -186, -275, -368, -465, -566, -671?\n\"Answer: -2*h**2 - 79*h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3585835 and 2915.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 910200 rounded to the nearest ten thousand?\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2685 is divided by 542.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - 0 - (-2)\/(-2). Let s(k) = 143*k + 3139. Let y be s(-22). Suppose 3 = -2*n - 5*c, 0 = -3*n - 2*n - 5*c. Put n, q, y in increasing order.\nAnswer: y, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 68*b - 85. Let p be k(3). Calculate the greatest common divisor of 34 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2947 - -0.20810654702.\nAnswer: -0.08659345298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -585*i**2 - 1699*i**2 - 536*i**2.\nAnswer: -2820*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + -4 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -121*u - 121. Let z be r(-1). Suppose -2*c = -5*c + 6. Suppose 0 = -2*i - 0 - c, j + 5*i - 88 = z. What are the prime factors of j?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, v: 1, t: 10, g: 2}. What is prob of picking 1 t, 2 g, and 1 v?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -2*i + 14, -7*i + 25 = 5*t - 4*i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 3025 = -849. Calculate the highest common divisor of w and 432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 44*j**2 - 970*j - 5. Calculate d(22).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2886 is divided by 152.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqr when three letters picked without replacement from qqvrqrqqqvvvvqv?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 6*r - 4. Let l be h(5). Let n(p) = 6 + l + 69*p - 4 - 99*p. List the prime factors of n(-1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*s**5 - 75*s**6 + 73*s**6 + 131 - 54 + 2*s**2 + 88 wrt s.\nAnswer: -240*s**3 + 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*i - 132, -2*q - 2*i - 54 + 180 = 0. Determine m, given that 8*m + 42 - q*m + 12*m**2 - 50 + 40 = 0.\nAnswer: 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118*h**5 - 15*h**3 - 19*h**2 + 1491.\nAnswer: -7080*h**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 402614089\/225 + -1789393. Let y = r - 46\/25. Find the common denominator of y and -49\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 201\/103685 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3137285 is divided by 241329?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -273 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 + 292435166 - 292435166.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*h**3*q**3 + 175510574*d*h**3 + 3006*h**3*q**3 + 28250*h**3 - 2*h*q wrt d.\nAnswer: 2*h**3*q**3 + 175510574*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -231*h - 424*h + 219*h + 6540 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1163?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10 - 77*z**6 + 45*z**6 - 9*z**2 + 267*z**6 wrt z.\nAnswer: 28200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/4 (b) -1\/24 (c) 1 (d) 5\/3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 57 = 9*u. Suppose 0 = -4*w - 15 + 7. Let t = 7 - w. Solve t = 3*r - u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 12:09 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-72)\/30*(-1 + (-1)\/(-81)) and 77\/15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2*sqrt(85)*2)\/(sqrt(30)\/(sqrt(24)\/sqrt(4)) + sqrt(5)) + -4 + 5)**2.\nAnswer: -4*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4*0)\/(2 + -5). Suppose o = -39*f + 34*f + 178775. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvyz when four letters picked without replacement from ivfzfiziyiyfyfyfyfi.\nAnswer: 5\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 8. Let h(g) = -20*g**2 + 16*g**2 + 38*g**2. What is y(h(f))?\nAnswer: 34*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + j - 5. Let d be p(0). Let f be 140\/(-8)*24\/d. Suppose 5*s - 324 + f = 0. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + o + 2. Determine x(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in 2\/11, 0.4, 0.3, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 394.1003mm to kilometers.\nAnswer: 0.0003941003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {j: 6, m: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**4\/12 + 6*d**2 - 5*d. Let k(f) be the first derivative of l(f). Let u(i) = 21*i - 2. What is k(u(j))?\nAnswer: 42*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14a2f + -3?\nAnswer: 14a2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 35*i - 10*i - i.\nAnswer: 25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 315 - 179. Calculate the highest common divisor of x and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -166*d - 84*d - 672*d to the form g + t*d and give t.\nAnswer: -922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 516280778 to the power of 1\/3, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -86 - 433a?\nAnswer: -4404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 1 - 7. Let d(y) = -y**2 + 0*y**2 + c*y**2. Let l(z) = 6904*z - 6904*z - 2*z**2. Give d(l(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7}. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/6 + 2441*u\/6 - 30719 = 0. Calculate u.\nAnswer: 78, 2363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 11 - 5 + (3 - 2 + 0)*(-4 - 1 + 3))*(-u + u - 8*u + (-u + u + u)*(6 - 3 - 2)).\nAnswer: 84*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 11*m - 4. Let s(x) = 32*x - 11. Calculate -17*l(y) + 6*s(y).\nAnswer: 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 0*g + 0*g**2 + 1\/3*g**3 + 6. Let o(i) = -3*i**2. Determine o(u(y)).\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**3*p**3 - 4*m**3*p + 195*m**2 + 2*p**3 wrt m.\nAnswer: -6*p**3 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, -28, -60, -126, -238, -408, -648, -970?\n\"Answer: -2*t**3 + t**2 + t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 244, 466, 666, 844, 1000, 1134?\n\"Answer: -11*i**2 + 255*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2080, -2, 2\/9 in descending order.\nAnswer: 2080, 2\/9, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 + 17*h - 1388. Is d(37) a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16301 - -17807. What is the remainder when b is divided by 76?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, 2\/3575, 2\/9, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 45 = -5*x. Calculate the remainder when 18 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n = 2*a, n = -2*a + 3. Let h(l) = n + 1 - 2 + 2*l**2. Let j(d) = -2*d. Calculate j(h(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 638\/15 - 271\/6. What is the common denominator of (-37)\/18*(13 - -2)\/5 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**6\/240 - s**5\/120 - s**4\/6 + s**3 + 149*s**2. Factor a(m).\nAnswer: (m - 2)**2*(m + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -9*o + 3*c + 14, 0 = -5*o + 5*c + 20. Let i be (-2 - -3)\/(6\/(-2)). Which is greater: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 908323 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -320264 + 2817264. Round y to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-560)\/147)\/(-20))\/((-36)\/14).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 14. Suppose -4*s = -7*s + 9. Suppose -f - 1 = 0, -m + 11 - 4 = s*f. Calculate the remainder when i is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 7*z**2 - 5*z - 4. Let l be g(6). Suppose 0 = -9*q + 12*q - 12. Solve l*d + 10 = q*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 21. Let a be (-4)\/(-18) + 493\/p. Calculate the greatest common factor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 - 7887*l - 239326. Determine j(-30).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -6*f + 3*f. Suppose 13*q - f*q = 0. Suppose 2*t + q*b = 5*b + 15, 3*t - 4*b - 26 = 0. What is the smallest common multiple of t and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*b + 49*b + 3*b**2 - 20*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 66472?\nAnswer: 132944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**2 + 3883*p - 7769*p - 4*p**3 + 3890*p + 1 to the form i*p**3 + t + z*p + j*p**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 259310822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 178.0562 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 6:35 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**3 - i + 4. Suppose -3*p = 3*z - 0 - 12, 0 = 4*p - 8. What is the tens digit of g(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 1490346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 36, 81, 132, 183, 228, 261?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163913*p**3 - 6*p**2 + 6619*p.\nAnswer: -983478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 5*i - 1\/20*i**5 + 1\/2*i**3 - 1\/4*i**4 - 3*i**2 + 0. Let w be u(-6). Round w to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -4*w - 34, -13*i - 4*w - 7 = -14*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1804*z + 408*z + 2297*z - 1098*z to k*z + g and give k.\nAnswer: 3411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 23*q + 40. Determine b(17).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-4)*(-1239)\/1593\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/2)*s**(2\/15))\/(s**(-1\/2))**(10\/13))\/((s**(-2)\/s)**(-37)*s**0*s*s**6\/s) assuming s is positive.\nAnswer: s**(-44843\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.17 + 2.03. What is u rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 8 in decreasing order.\nAnswer: 8, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-8 - -5))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 344605*h - 344610.\nAnswer: 5*(h - 1)*(h + 68922)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5701052, -5701120, -5701188, -5701256, -5701324?\nAnswer: -5701392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, -5, 68.63, -7 in descending order.\nAnswer: 68.63, -1\/15, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-6*sqrt(160)*2 - ((2*sqrt(160) - sqrt(160) - sqrt(160))*-3 + sqrt(160)))\/(((sqrt(1800)*1 - sqrt(1800)) + sqrt(1800))\/(4*sqrt(40))))**2.\nAnswer: -1664*sqrt(2)\/3 + 86672\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 k when two letters picked without replacement from {k: 1, m: 1, b: 1, f: 8, t: 2, g: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 576*q**4 + 633*q**2.\nAnswer: 13824*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**6\/60 - 3*p**4\/8 + 26*p**3\/3 - 48*p**2. Is y(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -1. Suppose 0 = u*p + 4 - 0. Let s = p + 5. Solve -25 = s*h + h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/680 + 64\/34 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 16 = -2*q. Let c = 226 - 221. Calculate the least common multiple of c and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 27 = d, -4*l + 2*d + 818 = 794 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*y + 2 = -0, -3*n - 2*y = -13. What is the third derivative of 2*h**n + 4*h**2 + 0*h**3 - 3*h**2 - h**3 wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 22*y + 34*y - 12*y.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 900, 894, 896, 912, 948, 1010?\n\"Answer: l**3 - 2*l**2 - 7*l + 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(((-4)\/5)\/(-1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23943 - -6772. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133.83 + -132. Let a = -0.17 - j. Put a, 2, 0.1 in increasing order.\nAnswer: a, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {l: 11, e: 2}.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 3*y**2 - 2*y + 3. Calculate the least common multiple of 9 and k(4).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*i*j**2 + 470*i*j + 47386*i wrt j.\nAnswer: 56*i*j + 470*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 539099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2)*-3*16\/320*-52.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37233 - 59969 = -1834*b for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 5*i**4\/8 + i**2. Let y(b) = -559*b - 48. Let a(l) = -93*l - 8. Let m(n) = 6*a(n) - y(n). Determine d(m(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 to the power of 1\/3, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -552*t**3 - 529*t**3 + 2188*t**3 - 548*t**3 - 551*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -150 times -425\nAnswer: 63750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024 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: Round 0.401895377 to 4 decimal places.\nAnswer: 0.4019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1 to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -825 + 845. Solve p - 15 + g = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**3 + 28*m**2 - 11*m + 125. Suppose 3*s - 1675 = -2*s. What is the remainder when s is divided by u(7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42520 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h*p**2*u**3 - 2*h*p**2 + h*p*u**3 - 2*h*p + 3*h*u**3 - 7*p**2 - 6*p*u**2 wrt p.\nAnswer: -4*h*u**3 - 4*h - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n**2 + 2*n**3 + 0*n**2)*(-29*n - n - 11*n) in the form u*n**4 + w*n**3 + m*n + f + g*n**2 and give u.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 + 7*w**2 + 4*w**2.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -67*b**3 - b**2 - 4*b - 2. Let c be q(-1). Let l = -57 + c. Which is bigger: l or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01606098851 to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 55*f + 318. What is m(14)?\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 - -8.99. Let f = -10 + x. Let r be ((-1)\/3)\/(2\/(-3)). What is the smallest value in f, r, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4 = -11. Let s(l) = -l**3 + 2*l**2 - 5*l - 3. Let f(v) = -v**3 + v**2 - v - 1. Suppose -z + 2*z = 1. What is y*f(u) + z*s(u)?\nAnswer: 2*u**3 - u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3422 - -3416.925. What is p rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.9 and 42.\nAnswer: 41.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -259, -521, -783, -1045, -1307, -1569?\n\"Answer: -262*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) -2 (c) 1\/2 (d) -2.042 (e) -5 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18532.\nAnswer: 2, 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 36?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1090*i - 5455. Determine c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 7 + -5 + 1. Solve -4 = m*a - 4*q, -7 = -4*q + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 193*k**2. Let h(y) = 66*y. Give h(n(f)).\nAnswer: 12738*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 4. Let p = x + 6. What is the tens digit of 14 - (-2 - -4) - p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 47\/87 (b) 2\/5 (c) -1619 (d) -1\/5 (e) 1 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 44, 40, 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 49, -4, 3 in ascending order.\nAnswer: -4, 3, 4, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -201, -218, -235, -252, -269?\n\"Answer: -17*n - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-18))\/(6\/(-8)*1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 325 - 324. Let v(u) = -4*u + 1. Let m(h) = -25*h + 6. Let c(g) = w*m(g) - 6*v(g). Let r(a) = 21*a**2 - 1. Determine c(r(i)).\nAnswer: -21*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 578874 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 10\/493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g = -21*g + 250 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 + 116.999843. What is u rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 5*j**2 + 7*j + 1. Let z be m(5). Let f = z - 23. Let v = f + -7. Calculate the lowest common multiple of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3 = -5*z, -41 = -5*r - 2*z + 4. Let f = r + 3. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25417 * 0.3.\nAnswer: 7625.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43419 - -89419. What is o rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 0.091, 4520?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12 and -1.5.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*s = 1670 + 2542 - 1220 for s.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.38 - -1.62. Let l = 30 - 33. Put -4, 0.5, l, u in ascending order.\nAnswer: -4, l, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/3*(-24)\/(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11649\/3177*(-13)\/(18447\/(-90)).\nAnswer: 10\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -921*g**2 - 1812*g + 9891766 wrt g?\nAnswer: -1842*g - 1812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cztt when four letters picked without replacement from {c: 5, t: 4, q: 1, x: 3, y: 4, z: 3}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, 0, 5, 12, 21, 32?\n\"Answer: i**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 291178582 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 283*v**3 + 306*v**2.\nAnswer: 1698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 30*d - 4. Suppose v - 7*y - 21 = -10*y, -y + 32 = 2*v. Give j(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 0 - (8 - (-5 + 0 + 21))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849223 is divided by 2223.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -66 in decreasing order.\nAnswer: -1, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18672704 - 8782704. What is b rounded to the nearest one hundred thousand?\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y + 11*y - 11*y + (-3 + 3 - 2)*(-y + 2*y - 2*y) + 4*y - 2*y - y - 2*y - 3 + 3 to the form u + f*y and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5374200651 to the nearest integer?\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, -12.\nAnswer: -12, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18359.00009571 - 18359. Round h to six decimal places.\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-20) + (-10)\/100. Let f be (d - 0) + 58 - (-46 - -47). Which is greater: f or 55?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 551\/137110 + 1183039877\/208132980. Let y = p + -278\/69. Calculate the common denominator of ((-327)\/240 - -1)*6 and y.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 274945051\/5 and 54989011 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2080 is divided by 1035.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -6*k**4\/13 - 18004*k**3\/13 + 277248*k**2\/13 - 675776*k\/13 - 44544 = 0?\nAnswer: -3016, -2\/3, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f**3 - 9*f**2 + 18*f + 41. Let v(j) = -3*j**3 + 2*j**2 - 4*j - 10. Determine -2*p(t) - 9*v(t).\nAnswer: 7*t**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55280452?\nAnswer: 2, 13820113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6391 + 6391 + 101*v to b*v + h and give b.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161574 + 408026. Let d = f + 9813548. What is d rounded to the nearest one hundred thousand?\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/4, -3, -0.04, 2\/7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 + -7)*28\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674354083.\nAnswer: 107, 631, 24799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.52 + 0.1. Let q = 0.41999909 + n. Round q to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + l - 37 = 0, k + 5*l = -3*k + 148. What is the remainder when k is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.66 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 4:33 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4239, 4246, 4257, 4272, 4291, 4314, 4341?\n\"Answer: 2*b**2 + b + 4236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let x(w) = -5*w**2 - 3*w + 1. Let y be x(p). Let a be (y\/20)\/(2\/(-8)). Solve d + 4*d - a = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 1 (c) 2\/7 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*z + 6*z + 1139 + 2163 = 292 for z.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w - 227 - 219 + 450 + 4*w**2 + 7*w**2. Determine z(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1037, -1002, -967, -932?\n\"Answer: 35*f - 1072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - -1 - (-60 + 56) - (43 + 1).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 92673 - 86444 = 4*d, v = 5*d + 59724. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745.\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 27*x + 60. Calculate the smallest common multiple of x and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h. Let l(r) = -2529230*r**2 - 2. Determine l(q(w)).\nAnswer: -40467680*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1519068169 or -1519068168?\nAnswer: -1519068168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1495488?\nAnswer: 2, 3, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/7 - 273885058*f\/7 - 273885060\/7.\nAnswer: 2*(f - 136942530)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -6157.5801739.\nAnswer: -6153.5801739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -798 + 0*i + 2*i - 4*i.\nAnswer: -2*i - 798","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 18463.7187 hours?\nAnswer: 109.9030875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44 - a544?\nAnswer: -a500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 + z. Let h(p) = p. Calculate -6*h(x) + l(x).\nAnswer: -2*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-76)\/(-7106)*-34*(-11)\/(-2). Let u(g) = g**3 + 5*g**2 - 4*g + 7. Let m be u(-6). Sort m, -24, t in decreasing order.\nAnswer: t, m, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -l - 1, 0 = 13*k - 35*k + 2*l + 74 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c45 - 161?\nAnswer: ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 70553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*c*p - 654443*b**3*p - b**3 - 3*b**2*c*p - 48*b**2*c + 20*b*c*p - b*p - 2*p wrt b?\nAnswer: 6*c*p - 3926658*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 3 (c) 6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.01351 - 5353.98649. Let j = s - -5349.6026. Let n = j - -4.4. Round n to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 10*j + 2. Let g(x) be the third derivative of x**6\/120 + 11*x**5\/60 + 4*x**3\/3 + 7*x**2. Let d be g(-11). What is the tens digit of l(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3234212?\nAnswer: 2, 808553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -65028.73 rounded to the nearest 100?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 51655 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 18*w**2 - 12*w - 131. What is i(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -1.8 (c) -4 (d) -319 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 7 = 2*n. Let o(j) = 2*j**3 + 9*j**2 + 22. Let p be o(-5). Let w be (n*p)\/((-15)\/10). What is the highest common factor of 21 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 9*j - 140 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*y + 5*y. Let w = -4 + y. Let c(v) = -v + 1. Let r be c(-4). Calculate the greatest common factor of r and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2745690159?\nAnswer: 3, 23, 29, 113, 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*(1 + 4 + -1*(2 + sqrt(700)) + 3*(4 + sqrt(700)*-2 + sqrt(700))**2).\nAnswer: -8599 + 1000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -5*w**4\/2 - 2*w**3\/3 + w - 5. Let n(g) = -g. Give d(n(j)).\nAnswer: -30*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**4\/2 - 76*d**3\/3 + d**2 - 73*d - 303. Let u be i(38). Factor -2*k - 4\/3 + 2\/3*k**2 + 2*k**u + 2\/3*k**4.\nAnswer: 2*(k - 1)*(k + 1)**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57305\/(-45844)*8\/(-1095)?\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/(-336)*3\/5*-56\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43956042*r**3 - 543481262*r wrt r?\nAnswer: 263736252*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 10*i**2 + i - 11. Let u be g(-8). Let o = u + 389. Does 69 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/129? (a) -212\/3 (b) -2\/5 (c) 4 (d) 0.1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdfkfd. Give prob of picking 2 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*k - m, 3*k - 5*m - 581 + 593 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((126\/245)\/(-18)*7)\/((-2)\/(-2)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6103.\nAnswer: 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3547 + -0.2732. Let l = 18106321 - 18106320.91849621. Let d = l - q. Round d to seven decimal places.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(42\/12) - (1 - -3). What is the tens digit of ((-15)\/(-50)*-2)\/(b\/1510)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 20*t**2 - 37*t + 24. Let b be s(18). What is the hundreds digit of ((-26560)\/15)\/(-8) + (-2)\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12343 + 3?\nAnswer: 12350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 926 and 2645582.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 28. Let f(i) = -i**3 + 4*i**2 + 2*i - 1. What is f(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2645266 = -365*a + 8228449. What is the ten thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p + 16. Suppose 0 = 8*x - 4*x - 28. Let n be k(x). Factor -n*c - 5*c + c**2 + 2 + 2 + 3*c.\nAnswer: (c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 - p**4 + 10*p**4)*((10 - 6 + 2)*(-3 + 1 + 4) + 0 + 2 - 1 + (-2 + 4 + 2)*(-3 + 1 + 4)).\nAnswer: 147*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1055707245.\nAnswer: 3, 5, 23, 1020007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 3*v - v)*(-5*v**2 + 5*v**2 + 9*v**3) - 2*v**4 + v**4 + 2*v**4.\nAnswer: 19*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30030 a multiple of 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*g + 0*g - 164 = 0, -3*i + 3*g + 99 = 0. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + r + 1. Let o = 1049 + -1046. What is p(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c. Let y(l) be the first derivative of 51 + 15*l**2 + 23*l**2 - l**3 - 38*l**2. Determine y(x(z)).\nAnswer: -108*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -703704*a + 703704*a - 3*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w + 2 + 1 - 4 + 6*w. Let n be z(-1). Let t(m) = 6*m + 10. Let d(k) = 2*k + 3. What is n*t(f) + 16*d(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -169\/4?\nAnswer: -169\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*183.8038\nAnswer: -110.28228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 8. Let k be (-6)\/(-21) - (-80)\/14. Let d be l(k). Let h be (1\/(-2))\/(3\/(-18)). Solve d*t = 4*s + 7*t - 5, -s + 3*t - h = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -17*y**3 + 2*y**2 - 2*y + 18. Let h(x) = -17*x**3 + 3*x**2 - 3*x + 17. Let n(t) = 3*a(t) - 2*h(t). Differentiate n(j) wrt j.\nAnswer: -51*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(-2*i + 2*i - i**4 + (0*i**3 + 2*i**3 + i**3)*(227*i - 3*i - 52*i)).\nAnswer: -1030*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*r + 160 = 523, 0 = 5*r + 15. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-5)*9\/36. Which is the third smallest value? (a) 1 (b) 26 (c) w (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 58 + 4845119?\nAnswer: 4845176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = 3*o - 189, -2189 = -i - 2*o - 2159 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12183702 and 23?\nAnswer: 12183725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42.45 - -45. Let u = 2.25 - p. Let j = -9\/5 + 41\/20. Which is the smallest value? (a) 1 (b) -1\/5 (c) u (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from {m: 3, x: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 931 and 448381.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2310 > -2305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1271634 divided by -32606\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22\/18301 - -73402\/164709. Let 2\/9*y**2 - 10\/3 - o*y = 0. What is y?\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.96297 days to seconds.\nAnswer: 1206400.608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25648591 is divided by 6538?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/1 - (11 + -9). Let n be 12 + 6*3\/y. Suppose -3*z + n = -12. Solve -1 + z = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1.4. Let a = 0.1 - t. Let d = a + -0.4982. Round d to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxxf. Give prob of picking 1 f and 1 x.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 98 divided by -3\nAnswer: -98\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 13*m + 1017. Determine z(-80).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14e6 (base 16) to base 3.\nAnswer: 21100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -6?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 99\/6 + (8 - (-30)\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 3 (c) -2 (d) 6\/13 (e) 0.091 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*y**4 - 4 + 2*y + 18 - 15*y**4 - y**3 in the form o*y**2 + q*y + n*y**3 + u*y**4 + k and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 10 + k**2 - 67*k + 63*k.\nAnswer: -2*k**2 - 4*k - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 2)\/(-3) + (-440)\/(-15). Suppose w = 6*h - 43. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - -1 - -3 - 10 - 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5014*m - 676*m**2 + 662*m + 1642*m**2 + 806*m**2 wrt m.\nAnswer: 3544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.7 - -4.691. Let u = n + 0.009. Which is bigger: u or 1\/25?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 6351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**4\/84 - 2*y**3\/21 + 2*y**2\/7 + y - 2. Factor t(x).\nAnswer: (x - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 7*t**2 - 9*t + 11. Let q be f(8). List the prime factors of (q\/6)\/(-1)*-22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 2:42 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + 1 + sqrt(7) + 2 + 5.\nAnswer: sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 329 + 0 + -7 + 6. List the prime factors of t - ((6 - 2) + -2).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2486101277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.89769 + -0.10231. Which is the third smallest value? (a) -0.2 (b) 6 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a + 24*a**4 + a**3 + 8*a**2 - a - 37*a**4 - 1 in the form r*a**3 + t*a**4 + h*a**2 + s + k*a and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 7 = -2*p, u + 2*u - 3*p = 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 237993067097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c (base 14) to base 12.\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/22927 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1197\/532 + (-5)\/(-4).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15088765.\nAnswer: 5, 3017753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/25)\/(k\/(k\/((k*k**4)\/k)*k)*k)*k**(-15)*(k*k\/k**(-20))\/k assuming k is positive.\nAnswer: k**(49\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6686107383 plus 0.4062?\nAnswer: -1.2624107383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34322 - 343?\nAnswer: 33757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 114? (a) -0.1 (b) 2 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 10.3 (c) -1\/3 (d) -0.09 (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19822303.1 + -3416?\nAnswer: -19825719.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 1 - 1)*(-3 + 6 - 1)*(66 + 74 - 38 + (-1 - 2 + 4)*(3 + 1 - 2)).\nAnswer: 208*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 219.00171 - 219. Round z to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*sqrt(17) + 5 - -6*(sqrt(1088)*1)**2.\nAnswer: -sqrt(17) + 6533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnpnnnpnnnnnpnnnpn. What is prob of sequence nnp?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12239 - -30757. What are the prime factors of q?\nAnswer: 2, 47, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 38, 65, 102?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -5*c**2 - 3 + 5*c**2 + c**2. Let f(w) = -3*w**2. Determine f(t(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k. Let x(f) = -11*f. Suppose 23*j - 8 = 25*j. Let d(i) = -11*i. Let s(v) = j*d(v) + 5*x(v). Determine b(s(t)).\nAnswer: -33*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(0\/(0 + 1) - ((-27 - -134) + -108))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(2\/21)*r*r*r**10*r assuming r is positive.\nAnswer: r**(296\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 greater than or equal to 7981115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y**2 - 3*y - 9. Let a(m) = 3*m**2 - m - 5. Let r(b) = 5*a(b) - 2*t(b). Does 5 divide r(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 + 70. Solve n + 0*n = r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267199955.\nAnswer: 5, 11, 2143, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 940\/(-8) - ((-1080)\/(-16))\/(-27). Let y be 3*2\/((-2)\/(-39)). Let d = r + y. Solve 0 = 2*v - d*c - 14, 0*c + 1 = -v - 3*c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -49*c**6\/120 + c**5\/60 - 7*c**2. Let z be h(-1). Suppose -5*l + 385 = z. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9096 (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6 = 8. Let o = -10.84 - -10.54. What is the nearest to h in o, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.0925 + -0.0175. Let u = -0.01 - w. Let h = u - 2.7. Which is the third smallest value? (a) -3 (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**5 + 2200*y**4 + 8855*y**3 + 11090*y**2 + 4440*y = 0. What is y?\nAnswer: -2, -1, 0, 444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7*h**3 + 2*h**2 - h. What is the remainder when 47 is divided by g(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - f + 3. Let x be k(-3). Let u = x - -6. Suppose 4*c - t = -3*t + 10, u*c + 2*t - 10 = 0. Solve -2 + c = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2120 + 2155. Put -0.06, o, -0.4, 4 in descending order.\nAnswer: o, 4, -0.06, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 4*y - 17, 2*v - 9 = -v + 4*y. Which is smaller: -3\/95 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 3*q**2 - 9*q - 11. Let c(p) = p**2 + 4*p + 2. Let d be c(-7). Let s = -28 + d. What is the units digit of a(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7038184 litres in millilitres?\nAnswer: 703.8184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g + 3*g**3 - 85*g - 4*g**3 - g**3.\nAnswer: -2*g**3 - 98*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 4 = -3*l. Let a = -0.1 + 1.4. Let k = a - 0.9. Which is greater: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48347204+-3\nAnswer: 48347201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d + 3*d + 5*d - 4*d**4 + d**3 - 10*d + 2*d**2 to k + r*d**4 + n*d + q*d**2 + j*d**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.0396, -77, -5 in decreasing order.\nAnswer: 2\/5, 0.0396, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142802156?\nAnswer: 2, 7, 5100077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10 + (-2)\/5. Suppose s = x + x - 166. What is the remainder when x is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 6 = p + 3*w, 2*p - 3 = 6*w - 13*w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1815243 is divided by 462?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-24))\/((-2)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 9. Let l = -7 - -11. Let m = w + l. Is 0 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -13*m**3 + 2*m**2 - 9. Let g = 37 + -43. Let y(r) = 7*r**3 - r**2 + 5. What is g*w(b) - 11*y(b)?\nAnswer: b**3 - b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*sqrt(567) + 3*sqrt(1008))**2 + ((sqrt(63) + (sqrt(1008) - 2*sqrt(1008)) - (sqrt(567) + 4))*-5)**2 + -4.\nAnswer: -226404 + 3600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*z + 2, -5*i - z + 21 = 0. Solve 23 = -n + 3*n - 5*w, 2*n + i*w + 7 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2541.73 to the nearest 10.\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -419, -420, -421, -422, -423?\n\"Answer: -g - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2304589*o**3 - 1152359*o**3 + 108*o - 204 + 3*o**4 + 201*o**2 - 1152338*o**3 = 0.\nAnswer: -1, 1, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/17 + (-102600)\/(-3672). Let n(t) be the first derivative of 0*t**2 + j + 2\/3*t**3 + 0*t. Let v(d) = 4*d. Determine v(n(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17255, 16038, 14825, 13616?\nAnswer: 12411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 62.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 + 67. Which is the third biggest value? (a) 1 (b) -4 (c) k (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*a = -27467, -5*h - 5*a + 24011 = -21774. Is 56 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153)\/21 + 79 + -71?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 at least as big as 7562\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**6\/24 - 3*k**5\/2 - 135*k**4\/8 + 49*k**2\/2 + k + 1. Let w(u) be the first derivative of l(u). Factor w(f).\nAnswer: -5*f*(f + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(18837\/861) - (-1 + 2)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7087040 by 5.\nAnswer: -1417408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3087326 to four decimal places.\nAnswer: 1.3087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p - 2*r = -32, p - 4*r + 25 = 0. Suppose -4*s - 5*k - 18 = 0, s + k = 4*k + 4. Put 4, p, s in descending order.\nAnswer: 4, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1095952*f**4 + 1412839*f wrt f?\nAnswer: -13151424*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 4:36 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w**(-8\/3)\/w*w)\/w))\/w)**(-30))**(-6) assuming w is positive.\nAnswer: w**660","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/1385 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 6. Let i be h(4). Let w(a) = -7*a + 3. Let v be w(i). What is the second derivative of 0*k + 2*k + 0*k + k - v*k**2 wrt k?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(84)\/(sqrt(12) + sqrt(84)\/sqrt(7)).\nAnswer: sqrt(7)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 201*z**2 - 1017*z - 237. Give w(-5).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 27?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7299 is divided by 159?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 - 2 + f**3 + 1 - 5. Is h(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*y**3 + 43390*y**2 + 9640*y.\nAnswer: 5*y*(y + 964)*(9*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 6501.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 36 and 0.2.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -203 + 201 - 5*l**4 - 3*l**4 - l**3 + 4*l**4 as k*l + q*l**2 + t + v*l**4 + s*l**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g - 5*l - 20 = 0, 2*g + 2*l = 0. What is the remainder when 105 is divided by 57\/g + 1\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22541 divided by 379?\nAnswer: -22541\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 339993.\nAnswer: 679986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 - 5*r**2 + r**2. Let l(z) be the second derivative of -1\/12*z**4 + 0*z**2 + 0*z**3 + 0 + 2*z. Give l(h(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2213, -9245, -21041, -37601, -58925?\nAnswer: -85013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -5) + 2 + 1 + 4. Let o(l) = -l**3 + 7*l**2 + 6*l + 9. What is o(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g - 14. Let i be 266\/112 + (-9)\/24. Let w be q(i). Solve -2*h - w + 4 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*h**2 - 116*h**2 + 70*h**3 + 301*h**2 - 49*h**2.\nAnswer: 70*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16499906 or 16499907?\nAnswer: 16499907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*d = 447, -2 = -2*d + 2. Let o = -98 - y. Is 49 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by 17.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 equal to 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*1*1*sqrt(176).\nAnswer: -16*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*j - 23, 2*j + j - 15 = 0. Let t be (-1 - 3\/(-2))*0. Suppose 3*w + 3*i - 9 = t, 15 = 5*w - 2*i + 6*i. Sort g, -3, w in increasing order.\nAnswer: -3, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1221737*x - 17*x**3 + 1221737*x.\nAnswer: -17*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*-1*-2)\/sqrt(8))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19914659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 4*y**2 + 7*y - 6. Let b be l(5). Sort 5, b, 2, 1 in descending order.\nAnswer: 5, b, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28071391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 455*n**3 - 122393*n**2 + 949502*n + 4176.\nAnswer: (n - 261)*(n - 8)*(455*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - -14. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -37, -0.4, -68?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b**3 + 85*b**4 + 3*b**3 - 91*b**4)*(4 - 4 - 1) to w*b**3 + x*b**4 + z*b**2 + g*b + q and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 642068593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-712)\/2314 - (-13436)\/42822. Is 1 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11944 + 2*p + 8*p**3 - 146*p**2 + 23902 - 11959 to the form r*p**3 + u + s*p + q*p**2 and give q.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45a82 (base 11) in base 4?\nAnswer: 100033113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.35 * 219.414\nAnswer: -76.7949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -2*p**2 + 8*p - 23. Let b be (-36)\/(-10) - (1 - 28\/20). Let j(x) = 3*x - b + x - 8*x + 6*x. What is 5*j(n) + 3*y(n)?\nAnswer: -2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -312 or -938\/3?\nAnswer: -938\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16\/5 - -3611\/1130. Which is smaller: 0.2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -298056917*x. Let m(t) = -2*t**2. Give m(o(i)).\nAnswer: -177675851543089778*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -4)*((-16)\/(-20) - 2). Suppose -13 = -i*r + 17. Suppose -g = -r*x - 1 + 19, x - 4 = 0. Solve 3*n - n = 2*a + 4, -4 = -g*n - 5*a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.27*1.3\nAnswer: -0.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16407074.8 rounded to the nearest 1000?\nAnswer: 16407000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0279271 rounded to 4 dps?\nAnswer: 0.0279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 44) + (-3 - 0) - (76 + -55).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20495241.\nAnswer: 3, 13, 58391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -231152980823368 - 0.1\nAnswer: -231152980823368.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.34, 0.3, -5 in increasing order.\nAnswer: -5, 1\/4, 0.3, 0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 29 - (-1 + 0 + 2). Suppose -y - 11 = -h. Let u = -36 - -36. Solve -5*b - 5 = u, 4*x = -b - 0*b - y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 269802, 269809, 269842, 269901?\n\"Answer: 13*i**2 - 32*i + 269821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -3.247.\nAnswer: -16.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*u + u = -11, u + 21 = 4*b. Suppose 12 = b*m - m, 4*y - 4*m - 4 = 0. Solve 2*r - h = -9 + 1, -2*h = y*r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 - 4*p**3 + 3*p**3 - 3*p + 3*p + 2*p**3 + (-4 + 2*p**2 + 4)*(0 + 0 - 2*p) + (-7*p**3 + 10*p**3 - 5*p**3)*(-1 - 4 + 3).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 - (-8)\/21. What is the nearest to -2 in r, -2, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j. Let d(h) be the second derivative of 0*h**3 + 0*h**2 + 0 - 5\/12*h**4 - 8*h. Determine p(d(a)).\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 288942986 and -403120.\nAnswer: 288539866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -306, -140, 130, 498, 958, 1504, 2130, 2830?\nAnswer: 3598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 54. Let f be y(-43). Solve 0 = -3*o + f - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3425136489?\nAnswer: 3, 17, 71, 227, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -59*m**4 + 10*m**3 + 27*m - 196. Let s(d) = 19*d**4 - 3*d**3 - 8*d + 65. Let h(c) = -10*s(c) - 3*u(c). What is the second derivative of h(i) wrt i?\nAnswer: -156*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30330082 - 21?\nAnswer: 30330061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhi when three letters picked without replacement from {i: 1, h: 1, b: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/11)\/n**(-3))\/(n**(-8)\/n**(3\/2)))\/((n*n**(1\/3))**47)**(2\/3) assuming n is positive.\nAnswer: n**(-5833\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9429 + -9472. What is the closest to 3 in -0.1, 0.3, d, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and -91?\nAnswer: -2275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((5 + 4*sqrt(11))**2 + sqrt(539) + 0).\nAnswer: 47*sqrt(11) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4) + (-4 - (-16 + 7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 5 = 21*c - 20*c, j + 5*c + 27 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/10 + (-2 - -5). Suppose 0 = -n + 2. What is the closest to 0.1 in d, n, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + i = 0, -15 = -4*k + 50*i - 49*i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23582081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11000021211210 + -10?\nAnswer: 11000021211200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/5605 and 29\/19175?\nAnswer: 364325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 1 + 578 + 4. Let x be (2\/(-6))\/((8\/s)\/(-4)). Let j = x - 72. What is the remainder when 98 is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*h + 5, -5*h + 4 = 24. Suppose 5*i = -4*a + 8, a - 2 = -2*i - 0*i. Suppose -b = a*b - 6. Solve b = -w*s + 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/5743464 and -137\/2004.\nAnswer: 5743464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 7*b**2 - 15*b + 6. Let o(l) = l**3 - 10*l**2 + 2*l - 10. Let u be o(10). What is the tens digit of y(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 22. Suppose -3*a + 6 = -48. Is y(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -141462, -149891, -158322, -166755, -175190, -183627, -192066?\n\"Answer: -d**2 - 8426*d - 133035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**3 + 11. Let b(c) = 3 - 2*c**3 - 6 + 0. What is -22*b(t) - 6*w(t)?\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 7777.915 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8827447 to the power of 1\/2, to the nearest integer?\nAnswer: 2971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.07849*-0.5\nAnswer: 1.039245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.73, -0.5, -5?\nAnswer: 0.73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 112*d**4\/3 - 216*d**3 + 341*d**2 - 242*d\/3 = 0?\nAnswer: 0, 2\/7, 11\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**4 + 2*s**2 - 2*s**2 + (5*s**3 - 5*s**3 - 2*s**4)*(4 - 2 + 0) - 2*s**3 + 10*s**4 + 2*s**3 in the form q*s**3 + h*s**4 + j*s**2 + v + c*s and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -13. Let l(b) = 2*b - 9. Let s be l(w). Suppose 2*x = 6*x + 5*y - 206, 247 = s*x + y. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -4*x + 5*d, 5*x + 3*d = -92023 + 92000 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m)**(-42))**(-4\/5) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 6. Let o be b(5). Let y(v) = -v - 1. Let q be y(o). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1102 (base 8) to base 4\nAnswer: 21002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 7*t**4\/12 + t**3\/2 - 60*t**2. Let c(n) = -2*n**2. Give v(c(x)).\nAnswer: -28*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 0*w**3 + 3*w**2 - 3*w**3 + 4*w**3. Let x be s(-2). Solve -3*k = -x*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*s + 26 = -0*s, i + 12 = -4*s. Suppose -5*h - 49 = -v, 0*h + 24 = -2*h - 4*v. Is h\/i*(118 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260757 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/5 - 0)*4\/68?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 686 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 8 (c) -4 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = -44*j - 37*j - 6171438000. Round j to the nearest one million.\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -16*i - 5. Suppose 0 = 3*w + 117. Let q = -41 - w. What are the prime factors of o(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -92, -204, -344, -524, -756, -1052, -1424?\n\"Answer: -2*u**3 - 2*u**2 - 92*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -167, 2, -5 in decreasing order.\nAnswer: 4, 3, 2, -5, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-5 - (-8 - -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5205727.628 rounded to the nearest 10000?\nAnswer: 5210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((756\/(-8))\/3). Let g = -19 - -13. Let x be ((-5)\/9)\/((-2)\/g). What is the third smallest value in v, 2\/3, x, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31.9+-7.2\nAnswer: -39.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2165 + -9.0095. Let p = 9.3 + l. Let f = 0.13 - p. Round f to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 3, m: 6, a: 3, h: 6}. Give prob of sequence mpg.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -493 (base 15) to base 12\nAnswer: -726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -661 + 719. Solve a + z*x - 59*x = 0, -4*x + 15 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -139509019\nAnswer: 3\/139509019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + (-2 + sqrt(891) + sqrt(891))*-1 - (-5 + sqrt(11)*2 + 2 - -1*(sqrt(275) + 1))**2.\nAnswer: -543 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 201153, 402282, 603425, 804588, 1005777, 1206998?\n\"Answer: n**3 + n**2 + 201119*n + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2 + 6\/(-1) + 3 - 2516\/(-481).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/(-476) - 82\/(-493).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5505*r + 400 + 971*r - 400 to the form o + q*r and give q.\nAnswer: 6476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120595005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6\/2)\/(9\/(-4))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/p**(-1)*p))**(-15)\/((p\/((p*p**(-14))\/p*p))\/p**(8\/7)) assuming p is positive.\nAnswer: p**(225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -150, -233, -322, -417, -518?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 8*r**2 + r**2 + (-4 - r + 4)*(4*r - 3*r - 2*r) + 2*r**2 + 2 - 2 + (2*r - 6*r - 7*r)*(-2*r - 1 + 1) + r**2 + 3 - 3.\nAnswer: 35*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**3 + 4625*q**2 - 4625*q**2 - 5*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -203\/1560 and -19\/1820?\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 31. Let y(g) = g - 12. Let o be y(12). What is the units digit of q(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 6 = 2*i, -5*i + 2419 = -h + 2412 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (220\/154)\/(4\/(-7)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 1 - 6\/10 - (-3080)\/175?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + i = 24, m - 2*i + 400236 - 400233 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 50. Let h = -262 - -287. Let y be x(h). Let q = -18 - -55\/3. Which is the nearest to 0.09? (a) q (b) y (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660768169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -5*a + 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 253959 divided by 2\nAnswer: 253959\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1074006 - -1?\nAnswer: -1074005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.27 + -0.37. What is the nearest to d in -2\/5, 2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -107754414394 + 7.4.\nAnswer: -107754414386.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (695\/(-278))\/((-5)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r - 11. Let l be b(6). Let x be (-14)\/(-49) - l\/(-7). Suppose x*z - 47 = -17. Calculate the lowest common multiple of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28748 is divided by 562?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -225 less than or equal to -216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 17 = 2*l + 4*a, 0 = -4*l + 4*a + 20. Suppose -l*z + 0*z = -15. Let b = z + 0. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**3 + 56 - 9*o**2 + 9*o - 6*o**3 - 2*o + 2*o**3. Is f(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c**3 - c**2 + 4*c + 3. What is the remainder when v(-2) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -880, 13.\nAnswer: -880, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3551.\nAnswer: 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 81eae + e5?\nAnswer: 820a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 230, 523, 940, 1487?\nAnswer: 2170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*p - 90*p = 399 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -150, -45, 60?\n\"Answer: 105*c - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -200411503 (base 6) in base 4?\nAnswer: -30330020133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112991, 114779, 116565, 118349?\nAnswer: 120131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10432 - 10426. Suppose o - 53 = a, 111 + 66 = 4*o + 3*a. What is the highest common divisor of o and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7}. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -187 - 691. Calculate the common denominator of -131\/18 and (-68)\/85 - x\/(-540).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 38*y - 1. Let p be 4 - (4 + 0 + -2). Let c be z(p). Find the second derivative of 18*s + 30*s**4 + 41*s**2 - c*s**2 + 34*s**2 wrt s.\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yydykfyyyyydy. What is prob of picking 1 k and 1 f?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f. Let r(j) = 4*j - 1. Let h(u) = -2*m(u) + r(u). Calculate h(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 - x**4 - 3*x**4 + x + x**4 - x + (x - 2*x**2 - x)*(x**2 + x**2 - 4*x**2) - 2*x**4 + 4*x**4 + 0*x**4 - 75*x + 75*x - 5*x**4 + 4.\nAnswer: x**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, -320, -343, 4, -2, -4 in ascending order.\nAnswer: -343, -320, -9, -4, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1892 and 6\/((-88)\/12 - -8) - -163.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*w - 1412270 + 1412305 + 28*w.\nAnswer: w + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i + 16. Let y be r(0). Let f(z) = 11*z - 8. Let j(n) = 10*n - 8. Let c(v) = -4*f(v) + 5*j(v). What are the prime factors of c(y)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5515650 and 9975?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.030201km?\nAnswer: 30.201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + i + 6. Let s be l(4). Let q be (2\/(-6))\/(1\/s). What is the third derivative of 17*b**5 - 9*b**5 + 17*b**q - 14 + 14 wrt b?\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108555 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1105290659 + -1105164387.5347. Let t = 126264.96529959 - l. Let f = t + 6.5. Round f to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - 129. Let x = 91 + f. Suppose 4*c - 32 = -3*z + x, 5*z - c - 77 = 0. What is z rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 594133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 23 = 5*i, -6*k - i = -3*k + 8. Let w be (-3 + k)*6\/8. Let s(q) = -11*q + 2. Let z be s(w). What is the greatest common divisor of 14 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**3 + 5*w + 12*w + 2*w**2 - 9*w to the form r*w + k*w**2 + x + b*w**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106236942 is divided by 1065?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -13*u - 12. Calculate the lowest common multiple of n(-2) and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 27800\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 188642705?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4\/3 - 88*p**3\/3 - 11498*p**2\/3 - 33848*p\/3 - 7480 = 0 for p.\nAnswer: -55, -2, -1, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 10, -1\/13500.\nAnswer: -1\/13500, 5\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3819 - 3181. What is r rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 10*g**2 + 21*g + 16. Let i(y) = 7*y**2 + 14*y + 11. Let k(t) = 7*i(t) - 5*n(t). Let z be k(-7). Which is the nearest to -2\/5? (a) 1 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b - 6. Let p = 1065 - 1067. What is z(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80360\/6027*(-6)\/30.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4*r + 8)*(6*r + r - 6*r + 1).\nAnswer: 4*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11908446 or 59542223\/5?\nAnswer: 11908446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 3*c - 5. Let q = -60 - -58. Let h be g(q). Sort 0, 3, h in increasing order.\nAnswer: 0, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 135 = -0*m. Calculate the remainder when m is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1897 - -16?\nAnswer: -1881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -2. Suppose 0 = r*a - a - 8. Solve -5*q + 0*q + 23 = a*o, o + 5*q - 19 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -191802609 + 191802625.00000059. Let k = d - 16. Round k to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/7)\/t)**34)**33*(t**(3\/8)*t*t**5)\/((t*t**(-1)*t)\/t**(-2)) assuming t is positive.\nAnswer: t**(-44691\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 121657009 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 770.7691ug to nanograms.\nAnswer: 770769.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1943*f + 145 = -1972*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1\/151, -4, -3\/7, -11\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p**4 + 58*p**3 - p + 3461?\nAnswer: 4*p**3 + 174*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 2:58 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9063 and 583.\nAnswer: 99693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320631?\nAnswer: 3, 106877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*c - 8, 0*r - 3*r - 3*c = -18. Is r <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 5*f - 12 = 2*g, 2*f + 4*g = -22 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 447500.7 milliseconds?\nAnswer: 447500700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**2 + 2*t + 3. Let z(f) = f**2 - f - 1. Let d(u) = h(u) - 6*z(u). Let m be d(-6). Which is the third smallest value? (a) m (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:22 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/6 and (-45)\/(-12) - (-8)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 162049 in increasing order.\nAnswer: -4, 1, 162049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -141\/10*y**2 - 4899\/10*y + 5041\/10 - 1\/10*y**3.\nAnswer: -(y - 1)*(y + 71)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133094784 and 1728?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -3*x**5\/20 + 7*x**3\/6 - 5*x**2. Find the first derivative of z(h) wrt h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0 + 0 - 200*h**2 + 580*h**2 - 1. Is w(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668935471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 8) + 6 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 188907 <= 188907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -35*k**4 + 230*k**3 - 360*k**2 = 0?\nAnswer: 0, 18\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8771255 is divided by 312?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + 25*a - 8. Let j be q(-13). Solve -3*c + z + 8 = -0*z, j*z = -10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*r + 5457 = 5494 + 30803 for r.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1264659 is divided by 108.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t**2 + 88*t - 171. List the prime factors of i(-40).\nAnswer: 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-28)\/24)\/7*352\/24 and -46\/79.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -22.7 (b) -68 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7881982805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -405\/434 - -102\/31. Let v = 15677\/1032 + -784\/43. Calculate the common denominator of v and c.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueeeeeuee. What is prob of picking 1 e and 2 u?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 3*s + 4*s)*(1 - 2*s - 1) + 6*s**2 + 0*s**2 - 3*s**2 + (-1 + 1 + s)*(4*s + 2*s - s) in the form f + p*s + i*s**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/12)\/(16\/(-180)*-5))\/((-141)\/2021)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**4 + 16638*k**3 - 200888*k.\nAnswer: -36*k**2 + 99828*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.413306 minutes in nanoseconds?\nAnswer: 204798360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1 + sqrt(17))*-4 + (4*sqrt(17))**2*2).\nAnswer: -16*sqrt(17) + 2192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6072*o + 11. Let j(p) = -3031*p + 5. Determine -6*d(l) + 13*j(l).\nAnswer: -2971*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 3*l + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*n**2 + 27*n - 13*n - 14*n to u + b*n**2 + t*n and give b.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r**4 + 10*r**4 + 5*r + 22*r**3 - 22*r**3 + 4*r**2 to y*r + j*r**4 + c + w*r**2 + v*r**3 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 368.6139 centuries in months?\nAnswer: 442336.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 12 + (-2 - 23) - -16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -16 - 7 - -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286375 and 86821?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 481469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90578334.\nAnswer: 2, 3, 7, 11, 59, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -37*n**3 + n**2 - 3. Let q be g(-5). Suppose 20827 - q = 20*o. What are the prime factors of o?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271971717?\nAnswer: 3, 90657239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*k + 9 = 0, 3*u - 2 = 2*k - 1. Let x(z) = 8*z**3 - z**2 - 4*z - 3. Let o(t) = -t**3 + t + 1. Let q(l) = -4*o(l) - x(l). What is q(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 17*b**2 + b + 21. Let h be a(-6). Suppose -52*u + 41*u + h = 0. Calculate the greatest common divisor of u and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 + 12 = 2*i, -5*i + 4 = 2*w. Let c(j) = 3*j**2 - 4*j - 1. Let x be c(i). Solve 7*o - x*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v + 191 = -376 + 114 - 297 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 3*h. Suppose h = -d + 14 + 5. Solve d + 1 = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2302 + -2307. Let b(f) = 11*f + 23. Let q(a) = 7*a + 15. Calculate s*b(t) + 8*q(t).\nAnswer: t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -21*z**2\/2 + 6. Let c(y) = 4*y. Calculate 11*c(i) + 2*u(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 y, 1 r, and 1 h when four letters picked without replacement from {a: 1, y: 1, r: 7, h: 4}?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -6015, 5, 1, 3, 2 in increasing order.\nAnswer: -6015, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6 - 2*k**6 + 6 + 6*k**2 wrt k.\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04484807653141 and -0.4.\nAnswer: -0.35515192346859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 208 + -209. Let n = -99.92 - 0.08. Let o = n + 4. Which is smaller: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10147\/3394755 - -2\/10777. Let c(m) be the third derivative of 1\/90*m**5 + 0 + 0*m + j*m**7 + 0*m**4 + 1\/90*m**6 - 20*m**2 + 0*m**3. Factor c(o).\nAnswer: 2*o**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1435\/(-861) + (40\/14 - 1).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -40aa6 (base 14) to base 8\nAnswer: -460172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*m + 14*m - 49*m**3)*(22*m + 6*m + 55*m - 18*m).\nAnswer: -3185*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 2 - ((-18)\/(-3) - 22). Suppose -86 = -s + 109. Calculate the highest common divisor of s and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + l + 3 + 18, -l + 21 = 3*a. Let m(g) = -2 + a - g**2 + 1 + 5*g - 17*g. Let q be m(-9). What is the highest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -10 + 2 - (-34 + -4 - -1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - 107 = -4*s, -8*n - 8*s + 6*s + 97 = 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26772538, 26772548, 26772554, 26772556, 26772554, 26772548, 26772538?\n\"Answer: -2*k**2 + 16*k + 26772524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1492, -12433, -42272, -100459, -196444, -339677, -539608?\nAnswer: -805687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7575767 > 7575734?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042 plus -1001.2540962?\nAnswer: -1001.2120962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (27 - 2 - (-8 + 18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 4:53 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 10:20 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.43 less than 2?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -66020 + 66015 + 2*s + 0*s. Suppose -5*a - 10 = 2*g, -3*g - 5 = a + 10. Suppose a*j = -j + 6. Determine l(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9687, -9686, -9685, -9684, -9683?\nAnswer: -9682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 712\/(-232) + (9 - 6)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -8 + (-5 - -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24013*b**2*d**2 + 412*b**2*d - 88667294*b**2 - 3*b*d wrt d.\nAnswer: -48026*b**2*d + 412*b**2 - 3*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 184c3 - 38d?\nAnswer: 18134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000062672735 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*n - 14*n + 13*n + 120 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 74 = -2*n, 13 = n - 2*u - 2*u. Let f = n + -2. What is the highest common factor of 18 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2\/5, 5, 85\/13, -4, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2490 = 3*n, -5*n - 11*q + 4150 = -15*q. Calculate the remainder when n is divided by 81.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 12 = f, 7*f - 16 = 9*f + 4*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)*-4)\/(sqrt(12)\/(sqrt(8)\/sqrt(4))) + 2*((sqrt(2) - (-1*sqrt(242) + sqrt(242))**2) + 0) + 1.\nAnswer: -30*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -161660, -323320, -484980, -646640?\n\"Answer: -161660*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/2)\/(263\/(35242\/(-402))))\/((-5)\/(-4))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2136, 2146, 2160, 2178?\n\"Answer: 2*j**2 + 4*j + 2130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2736)\/1596*(-21)\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20996 is divided by 440.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, d: 2}. Give prob of sequence dxx.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*g - 11 - 178*g + 353*g + 11.\nAnswer: 45*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -9)\/((-14)\/35). Let g = z - 11. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 6*q**2 + 2*q - 9. Let k be l(6). Does 22 divide (1014\/5)\/k + (-4)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -8. Suppose -x + 3*x - g = 0. Determine y so that -2*y + y**2 + 2*y**3 - y**4 + 3 - x + 0*y = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*s**5 + 416*s**4 - 12082*s?\nAnswer: 100*s**3 + 4992*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32c7 - -5?\nAnswer: 32cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/((36\/918)\/2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (60\/(-7))\/(-4 + 275\/70). Suppose -o = -j - j. Suppose 0 = -2*r + 5*z + j, -3*r + 90 = -0*r + z. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 681 and 11496?\nAnswer: 2609592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 183409 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**2*u*v**2 + 211*s**2*u*v - s*v + 429*u*v**2 wrt s.\nAnswer: -2*u*v**2 + 422*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1800 - -3192. Suppose -2*n + 4*t + 544 = 0, 5*n - 3*t + t - w = 0. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 6*d**3)*(56*d + 251 + 249 - 501).\nAnswer: 336*d**4 - 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - -4. Is u less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2400 and -119\/50.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o - 2 + 4*o - 13*o. Does 31 divide h(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2040 (base 5) to base 11.\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -262\/3 + 88. Suppose -12*z + 26 - 2 = 0. Which is the smallest value? (a) -5 (b) 4 (c) k (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((-24 - 1 - -6) + 6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l - 10*l + 5506*l**3 + 22*l - 5520*l**3.\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 - ((-6)\/(-8))\/((-45)\/(-120)) is divided by (1\/(-2))\/((-2)\/52).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(200)*-1 + -4 - (sqrt(200)*2 + 0 + sqrt(200) - (3 + -1 + sqrt(200) + sqrt(200) + sqrt(200))))**2 + 3.\nAnswer: 40*sqrt(2) + 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26)\/(-169) + 71910\/39 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -5*r - 1\/20*r**5 + 0 + 7\/12*r**4 - 7\/6*r**3 + 5\/2*r**2. What are the prime factors of m(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*s - 767, -4*y - 6*s = -8*s - 3026. List the prime factors of y.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1527*t = -1543*t + 15984. Calculate the highest common divisor of t and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4 - 5*g**3 - 5*g + g + 9. Let c = 3142 - 3147. Let d be p(c). Round d to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 11:55 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1227.213km to centimeters.\nAnswer: 122721300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 125 = -5*h, 5*h - f - 33 = 67. Suppose -7 = -4*r + h. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086 plus -30967.4?\nAnswer: -30967.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2171438069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, -7, -14, -19, -22, -23, -22?\n\"Answer: c**2 - 12*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -202045 - -3?\nAnswer: -202042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13.6, -0.2203, 3?\nAnswer: -0.2203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a factor of 5542632329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 divided by 31099?\nAnswer: 649\/31099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00266254684 to seven dps.\nAnswer: -0.0026625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8032 = u + 233. Let q(o) = o + 10. Let t be q(-5). Suppose 4*g + 862 = -2*n - 2254, t*n = -g - u. Round n to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 + 28 + 33 - 55 - 6.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 minus -1.6?\nAnswer: -102.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.021 + 0.079. Suppose x = 4*x. Suppose 0 = 3*z + g - 10, -4*z + z + 2*g + 7 = x. Which is the closest to w? (a) 5 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(88)\/(sqrt(8) - sqrt(8)*-2) + 0)**2.\nAnswer: 275\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 9*p + 4. Let t be b(9). Solve -5*k = d + 14, -t*k - 5*d - 4 = 24 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -15, -6*f + 43 = -3*f - b. Suppose f*y = 879 + 1505. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -43 (b) -858 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, g: 7}. What is prob of sequence wgw?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2057) + 1)*-5 + sqrt(85)\/(4*sqrt(180))*4.\nAnswer: -329*sqrt(17)\/6 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a - 3*a = 144 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/32)*y\/(y**(-28)\/y)*y)\/((y*y\/y**(-2)*y)\/((y**(-31)*y)\/y)) assuming y is positive.\nAnswer: y**(-129\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1041916 and 7676?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**2*g - 131*a**2 - 3*g**2 + 1 with respect to g.\nAnswer: 4*a**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3498780 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884 is divided by 81?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9486 = 4*u + 1166. Suppose 6*f = 19*f - u. Calculate the highest common factor of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 11*l + 61. What is z(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(-n**3 + n - n)*(9 - 2 - 9 - 7*n).\nAnswer: 7*n**4 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -262066425 to the nearest one hundred thousand.\nAnswer: -262100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**5 + 16*h**4 - 32*h**3 + h**2 + 19413*h - 1?\nAnswer: 20*h**3 + 192*h**2 - 192*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2 - 2*h - 1. Let d(u) = -3*u + 15. Let i = -17 + 23. Let j be d(i). Let z be -3 + j\/(-12)*4. What is r(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiiy when four letters picked without replacement from {b: 6, i: 3, y: 4}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1008)*2 - (sqrt(1008) + -4 + (sqrt(1008) - 2*sqrt(1008))**2))*3 + (-1 + sqrt(1008) + 5 + sqrt(1008) - (0 + (sqrt(1008)*5 - sqrt(1008)))**2).\nAnswer: -19136 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/22776798 and -57\/2290.\nAnswer: 113883990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3024 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-5))\/((-2)\/(-5)). Suppose 4 = -x*r + 6*r. Suppose 0 = 4*v, -2*y + r + 21 = 3*v. What is the greatest common factor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1297.9209 months to centuries.\nAnswer: 1.08160075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159190750?\nAnswer: 2, 5, 636763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3628924 divided by -38?\nAnswer: -95498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2643*o - 158496 + 158496 as r + u*o and give u.\nAnswer: -2643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -88*j - 692. Let v be a(-8). Solve 31*q - 34*q - v = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1841, -3713, -5595, -7493, -9413, -11361, -13343, -15365?\nAnswer: -17433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f**2 + 11*f + 21. Calculate v(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 23 = 3*b, 26 = b + 4*y - 8*y. Suppose -2*q + b = 2*s + q, 5*s + 4 = 2*q. Suppose 4*u + 2*j = -3*j, s = 3*u - j. Solve u = -n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/11)*d\/(d\/(d**(-3\/11)*d*d)) assuming d is positive.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19726 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 463104.2ms in nanoseconds?\nAnswer: 463104200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(1 + 25\/(-30)). Suppose 0 = 3*n + 2*r + 18, n + v = -4*n + 4*r. Suppose -6*c + 5*c - 4 = 0. Is c < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 2:03 PM?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 1773 less than 239050994?\nAnswer: 239049221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 10:18 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 3*y**2 + 17*y - 56. Give p(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(14476\/(-47)) - (-150)\/44 - (-153)\/(-72)?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 203\/1011?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -148\nAnswer: -33\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**3 + 15*t - 5. Let d(q) = -q**3 - 3*q + 1. Suppose 3*p + 5*l + 53 = 0, 0*p + 4*l = -4*p - 60. What is p*d(b) - 2*c(b)?\nAnswer: b**3 + 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1717 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 2:12 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 308.0376 nanoseconds in seconds?\nAnswer: 0.0000003080376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 2 + 2 - 154*i**2.\nAnswer: -154*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9.7 or -217.3?\nAnswer: -217.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 318328.3 * 0.41\nAnswer: 130514.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (38 - (33 - (-30 - -33))).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -17. Let p(s) = -3*s**3 - 236*s**2 + 78*s - 77. Let i be p(-79). Put i, v, -3, 3 in ascending order.\nAnswer: -3, v, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 21\/(6\/2). Let c = a - 3. What is the smallest value in c, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (3865\/(-45) + (-8)\/72). Let k be f\/((-1)\/(-2) - 0). Let q = -80 - -148. Calculate the greatest common factor of k and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (12*(21\/(-28) - 0) - -5). Let r = -1\/7 + -1\/42. Which is the fourth smallest value? (a) -2\/7 (b) -0.1 (c) y (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -208 + -1374c7?\nAnswer: -137702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 487*l - 29. Suppose -24 = -16*j + 12*j - d, -5*d = -4*j. Let w(m) = 325*m - 21. Let s(v) = j*r(v) - 7*w(v). Let q(f) = -2*f. Calculate s(q(k)).\nAnswer: -320*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -200890 - -200885.99996. Let a = -4 - r. What is a rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/12*9*-4. Suppose 2*c = 2*x, -d = -3*c - 3*x + 2*x. Factor 2*b**3 - 3*b**2 + 3 - b**3 + 0*b**3 + 2*b**c - 3*b.\nAnswer: 3*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.1 or 10?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 + -305253?\nAnswer: -305341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = 24. Let n = 0.6 - 1. Let t = n + 3.4. Which is the second smallest value? (a) u (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**3\/3 + v**2 + v + 1. Calculate m(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (-702)\/(-7) + 28\/(-98)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51309320 and 344?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 7) + (1 - 0) + 5 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35\/(-70) + 2\/((-8)\/(-18)). Let a(x) = -x**3 + 4*x**2 + 3*x - 7. Let p be a(q). Suppose p*c = 4*k + 1, 0 + 2 = 3*c - k. Are c and 1\/44 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*h**2 - 2265*h + 4527*h - 2260*h + 308*h**2 - 10*h**3.\nAnswer: -10*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4584603 + 125*p**2 + 125*p**2 - 4584603 - 247*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*f + 4*g + 29, 0 = -5*g - 25. Solve 3*l + 4 = -2*w + 15, -4*l = -3*w - f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35479780*x**2 + 2*x - 8663862?\nAnswer: -70959560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m**2 + 40*m - 14. Let q(t) = -t**2 - 8*t + 3. Let v(f) = -3*k(f) - 16*q(f). Let s be v(5). Let n = 15 + s. Is n less than 1\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1305214 + -2?\nAnswer: -1305220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.08 - -5. Let n = i + 0.08. Is -1 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 13. Let o be q(-9). Let c(j) = o*j - 9*j**2 + 0 + 2 + 0*j - 24*j - j**3. What is the least common multiple of 16 and c(-6)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -62 and -0.2.\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y. Let u(r) = 5*r**2 - 3*r. Let l be (3\/9)\/(1\/9). Let w(b) = b**2 + 0*b - 2*b**2 + 4*b - l*b. Let f(q) = u(q) + 3*w(q). What is j(f(z))?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*x + 3582 = -345*x for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -5 (c) 9 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131 + -232. Let j = 100.78 + d. Put -0.3, j, -5 in descending order.\nAnswer: j, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c + 3*y = -18, -20 = -5*c + y. Suppose -2*t - 29 = -2*r + 19, 5*r - 3*t = 128. Solve 4*m - 2*w = -0*w + r, c*m - 4*w - 31 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005405967886 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 - 3323*u**2\/4 + 693044*u - 4810687.\nAnswer: (u - 1658)**2*(u - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -2.5 (c) -2\/7 (d) -63 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1535, -1504, -1473?\nAnswer: -1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 - -2.99. Suppose -24*m = -22*m. What is the second biggest value in m, z, -2\/3, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41748)\/(-3976))\/(6\/(-8)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/7)*m)\/(m*(m\/m**5)\/m*m)*m**(-3\/7)\/m**(-6))\/((m\/(m\/(m**9*m*m*m)))\/(m**8*m))**49 assuming m is positive.\nAnswer: m**(-958\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -170 + 3557432?\nAnswer: 3557242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -363857*a**5 - 44557*a**2 + a + 3 wrt a?\nAnswer: -21831420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 502261 and 48?\nAnswer: 24108528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7475, 15200, 22927, 30656?\n\"Answer: n**2 + 7722*n - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 10 - 18 - 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 7*p**2 + 4*p - 5. Determine d(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4 - 704*c**3 - 2076*c**2 + 6272*c - 3490 = 0. What is c?\nAnswer: -349, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2518696 and 232?\nAnswer: 73042184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v + 5*v - 7 + 7. Let x(t) = -35*t + 2. What is f(x(s))?\nAnswer: -70*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 1. Let w be 0 - (-1 + 0 - 21). Suppose 4*l + 21 = k + 3, k - 5*l = w. Let f(x) = 3*x - 3. Determine k*q(o) - f(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 321011221?\nAnswer: 321011232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(252) + sqrt(63))**2 - (sqrt(252) + sqrt(252) + -1))*-6.\nAnswer: -3504 + 504*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6330?\nAnswer: 2, 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2973132 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -553 by -7.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - 5*v + 7*v - v**3 - v**4)*(-3*v - 4*v + 11*v).\nAnswer: -4*v**5 - 4*v**4 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 39*l**2 - 66*l + 127. Let h be f(2). Solve 8*r - h + 111 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 529 + -1057\/2. Put -18, 1, l, -0.4 in increasing order.\nAnswer: -18, -0.4, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1396.4 and -1.73?\nAnswer: -2415.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, 1, -14, -4 in descending order.\nAnswer: 5, 1, -4, -9, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u - 9. Let d be j(-5). Suppose -189 + 41 = -2*f. Let p be f\/14 + (-4)\/14. What is the greatest common divisor of p and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2528 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 76534003, 76533994, 76533985, 76533976, 76533967?\n\"Answer: -9*q + 76534012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -283025 and 73823708.\nAnswer: 73540683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99334 is divided by 49449.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 167 = -5*c - 197, -3*c = -4*y - 11. Sort 9, y, -49 in decreasing order.\nAnswer: 9, y, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40201\/(-221529) - (-4)\/22. Let z = -38371\/31647 + n. Calculate the common denominator of z and -11\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2 - 525*t - 25800 = 0 for t.\nAnswer: -40, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*d + 20, -2*a - 13 = -3*d. Let i be 4\/8*(-3)\/(-6). Which is bigger: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 240 = -10*l. Let t = 44 + l. Sort t, 2, -9 in ascending order.\nAnswer: -9, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -808*o - 22*o + 27390 = 0 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 5:01 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/41 (b) -0.11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) + (-45)\/(-12). Let s(g) = -26*g - 333. Let i be s(-13). Suppose 0 = -b*h + i*q + 261, 4*h - 264 = q + 3*q. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/60 and 19\/555.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 2*v**2 - v**2)*(5 - 1 - 2) - 2*v**2 + v**2 + 2*v**2 + 349*v**2 + 2237*v - 2237*v + 295*v**2 + 378*v**2.\nAnswer: 1021*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.98 + 11.68. Let h = -3.8 + 4. Which is the nearest to 0.7? (a) 2\/13 (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pprp when four letters picked without replacement from {d: 1, p: 5, r: 11}.\nAnswer: 11\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-13)\/65)*2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7282091599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3913 - -3908. Let y(v) = -v - 19. Determine y(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 85891 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -330224240210?\nAnswer: 330224240202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r\/(r\/(r\/(r\/r**(2\/23)*r))*r*r*r))**(-12\/7))**(36\/11))**(-32))**(-20) assuming r is positive.\nAnswer: r**(18524160\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**3 - o - 1. Let l be w(-1). Suppose -3*p - 5*k = 8, -l*p + 2*k + 6 = -18. What is the derivative of 3 + p*r**2 + 0 - 3*r**2 wrt r?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1192305 less than -0.13?\nAnswer: 1192304.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*y - 14*y = 0. What is the second smallest value in -3\/7, 190, -3\/8, y?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 157.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(539) - sqrt(539) - (sqrt(539) + -1*sqrt(539)*2) - (-4 + 4*sqrt(396))*5)**2.\nAnswer: -5650*sqrt(11) + 141084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 70*s**2 + 74*s + 206. Let i be w(-71). Which is the second biggest value? (a) i (b) 19 (c) 3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 118645354 and -35.\nAnswer: 118645319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3485, -13999, -31537, -56099, -87685?\nAnswer: -126295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 + r**3 - 4*r**3 + (-8*r - 423 + 423)*(r**2 + r**2 + r**2).\nAnswer: -25*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817581740 a multiple of 10001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -6*h + 5*h. Let y = 24351\/70 - 2405\/7. Find the common denominator of y and -3 - (-5)\/(50\/h).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (52\/14 - (-2)\/7) + 32 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 45\/2*b**2 + 15 + 75*b + 3\/4*b**4 - 9*b**3. Factor n(h).\nAnswer: 3*(h - 5)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4691, 17981, 40137, 71159, 111047?\n\"Answer: 4433*d**2 - 9*d + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 10. Suppose 128 + 184 = -4*d. Let v be (0 - 0) + q\/d. Which is the nearest to -1? (a) v (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 230\/7 (c) -3 (d) 2\/65 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 895969701 divided by 561033?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxoy when four letters picked without replacement from ooxqoyyxo.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -9 - (4 - 2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-8)*-4)\/(5\/10). Suppose -r = z - 3. Let l(p) = -p - 1. Calculate l(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91286176 divided by -32\nAnswer: -2852693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30*3\/(-128)*(-4408)\/1653.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 16002 = 2*l, 0*b + 2*l = -3*b - 24002. What is b rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - q - 397 = 0, 5*b + 4*q - 1786 = 154. Suppose 0 = -5*s - r + 4*r - 398, 5*s + b = -3*r. Let f = 70 - s. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128 - 49. Let g = 102.93 - 24.93. Let w = g - d. Which is the nearest to -0.1? (a) w (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4247207 - 2692.\nAnswer: 4244515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*2\/((-8)\/2))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10762 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*f**2 + 13*f**2 + 19*f**2)*((f - 2*f**2 - f)*(4*f - 3*f + 2*f) - 3*f**3 + f**3 + 0*f**3).\nAnswer: 32*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 979*n**3 + 8*n**2 - 167*n**3 - n**2 - 3*n**2.\nAnswer: 812*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 675267899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/3 of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/((-4)\/258) - 0)*(-633944)\/(-2181)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -11*k + 124 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 783 and 25433.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(2\/(-2 + -2)). Let i(m) = -m**2 - 11 + 11 - 3*m**h. Let p(s) = 1 + 2101*s - 2102*s - 1. Give i(p(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-4) - (-26)\/8. Suppose -t*z + 2*z = -7. Calculate the remainder when z is divided by 1\/(4\/(-6) + (-77)\/(-84)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*l = 12847, -5*l - 9361 = -4*b + 7770. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b - 24 = 0. Let r be 33*(-3)\/(18\/4). Let v = 46 + r. What is the greatest common factor of b and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.4 - 21.4. What is the third biggest value in q, -4, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -133 in decreasing order.\nAnswer: 5, 4, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34150?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 410157 to the power of 1\/2, to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.10323 litres in millilitres?\nAnswer: 74103.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(2*-1 + 1). Let f = 89 - 85. Suppose -f*d + 16 = -4. Solve -3*q + d = -3*h + 5*h, -3*q + 30 = -k*h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 1804\nAnswer: 1821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + 6 + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 2*c + 16 + 6, 5*d = -15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 180 - 124. Is 28 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**7\/m)**(-19)\/((m*m**(-2\/17)*m)\/m**(2\/3)))**(-2\/21) assuming m is positive.\nAnswer: m**(11752\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 311.1362 and -77.\nAnswer: 234.1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4207 = -16*j - 751. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -50, -90, -138, -200, -282, -390?\n\"Answer: -n**3 + 2*n**2 - 39*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 440828681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6930\/385 - (3 + -17 - -4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*p - 1072 - 1844 - 759 = 0 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 154.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j\/(j*j*j\/(j\/(j\/j**0))))\/j)\/j)\/j**(-2\/33))\/(((j*j*j**14\/j*j)\/j)\/j**21) assuming j is positive.\nAnswer: j**(101\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -t + 3*o - o, 0 = 5*t - 3*o + 18. Let z be 2 + -2 - (t - -3). Suppose z*s = -s + 1. Calculate the smallest common multiple of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3718040 divided by 71?\nAnswer: 3718040\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2154052367 to the nearest integer?\nAnswer: 46412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*3*1*(-20)\/(-80)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*r + 60, -6*r + 5*p + 15 = -5*r. Calculate the remainder when 163 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 2*w**3 - w**2 - 3*w + 4. What is the tens digit of z(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h + 5*t = 30, 0 = h - 2*t + 6. Let l(p) = p**3 + 7*p**2 + 5*p - 4. Let m be l(-6). What is the derivative of c**2 - 1 - 3*c**m + 6*c**h wrt c?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 161308413?\nAnswer: 161308413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (94\/2538)\/(((-616)\/(-48))\/11)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + -3*sqrt(304) + -1 + sqrt(304) - (1*sqrt(304) + sqrt(304))*-1)**2 + -2.\nAnswer: -8*sqrt(19) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4528890?\nAnswer: 2, 3, 5, 50321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 229?\nAnswer: 19236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3 = 42. Let s = d - -34. Find the third derivative of 25*f**3 - 6*f**6 - s*f**3 + 8*f**2 wrt f.\nAnswer: -720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/17)*o**(-2)*(o*o**(-1)*o)**(-23) assuming o is positive.\nAnswer: o**(-427\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 382\/(-7) - (52065\/455 + -117)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 1. Let b(l) = 9*l - 3. Let w(r) = -b(r) + u(r). Let n be w(-8). Solve -4*o - n = 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47223?\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -23133 divided by -7\nAnswer: 23133\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 2*k**2 + 3)*(2*k - 3*k + 3*k) - k**3 + k**3 - 2*k**3 - 1365*k**3 + 8347*k - 8347*k)*(4 + 3 - 5) as c*k**2 + i*k + v*k**3 + g and give v.\nAnswer: -2742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-11977))\/(663\/(-19227))\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 - -100?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97 or 9\/2?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e4 (base 16) to base 5.\nAnswer: -1403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 819 in 3\/4, -0.2128, 0.3, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2613, 7011, 15009, 28407, 49005, 78603, 119001, 171999?\n\"Answer: 300*k**3 + 2298*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 28 + 27)*(4*a + a - 3*a) - 6*a + 7*a + 1 - 2.\nAnswer: -77*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.201392 to 3 decimal places.\nAnswer: 0.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -5. Let n be j\/(2\/16*-2). Factor 0*g - 2\/5*g**3 - 1\/5*g**n - 1\/5*g**2 + 0.\nAnswer: -g**2*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 5. Let u be g(5). Let i be (-2)\/4*(0 - u). Suppose i = 3*d + 2*d - 4*r - 24, 2*d - 2*r - 8 = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 3*f + 3, y - 3*f + 4 = 7. Suppose 3*t - 60 = -3*i - 0*i, -t + 4*i - 5 = y. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1 + sqrt(117))*-5)**2 + (0 + sqrt(117) + 3)*-4.\nAnswer: -8862 + 438*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**3 + 4*t**3 - t**3)*((-56 + 92 - 87)*(-4 + 0 + 5) + (2 + 6 + 0)*(3 - 2 + 1)).\nAnswer: -315*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 47001645 divided by -5\nAnswer: -9400329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 211518 greater than or equal to 212230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1333241*f + 0 + 0 - 1346407*f.\nAnswer: -2679648*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 - 27*d**3 - 537*d**2 + 5643*d - 5082.\nAnswer: 3*(d - 11)**2*(d - 1)*(d + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2144\/9 - 238. Suppose 2*x = 7*x - 5. Let t = -1 + x. Is t less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 17*h**2 - 17*h + 2. What is j(16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*u + 9725000 = 0, 9725000 = -8*v + 3*v - 5*u. What is v rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -22*o - 15. Let b(c) = -c - 2. Determine 6*b(y) - t(y).\nAnswer: 16*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + c - 5*c = 6, -2*c = 2*z - 6. Suppose 0 = -5*j - z + 8. Let w = 330 + -328. Sort w, -5, 5, j.\nAnswer: -5, j, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(125\/((-102500)\/(-560)))?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l = -5*z - 670, 3*l - 9*l - 23 = -3*z + 49 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 16*r + 57. Let h be c(-12). Let b be (1 - 7\/(245\/h)) + -4. Find u such that -b*u - 4\/7 - 2\/7*u**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2480394?\nAnswer: 2, 3, 7, 73, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 53, 116, 213, 356, 557, 828, 1181?\n\"Answer: 2*y**3 - y**2 + 30*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4 = 2*f + 8, -820 = -112*f - 5*h - 586 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 865671505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1586\/61)\/(1*(5*1)\/((-31)\/31))?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 6*c**2 - 9*c + 7. Let h(y) = 12*y**2 - 4*y - 30. Let u(d) = -10*d**2 + 3*d + 26. Let b(j) = -6*h(j) - 7*u(j). Calculate -7*b(z) - 2*l(z).\nAnswer: 2*z**3 + 2*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 4*t**2 - 2*t**2)*(7*t - 3*t - 2*t) + (-6*t + 2*t - 7*t)*(-4*t**2 + 0*t**2 + 3*t**2).\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 5*d - 2. Let x be y(-6). Let n = 5 - x. Suppose -2 + n = -t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8815.78593ms to weeks.\nAnswer: 0.000014576365625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 11. Suppose -3*s = -d*s - 168. Suppose -s = -5*x + 37. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + sqrt(2) - (-2*(-1 + sqrt(2)) + sqrt(2) + sqrt(2) + sqrt(2))**2.\nAnswer: -7 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 5*c**3 - 28355*c**2 - 312510*c = 0.\nAnswer: -11, 0, 5682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -83, -101, -119?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 12*h - 2. Let m be o(12). Put 0.1, 1\/7, m in ascending order.\nAnswer: m, 0.1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00172028667 to six dps.\nAnswer: -0.00172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -737297307*m**3 - 362098432*m**2 + 1.\nAnswer: -4423783842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 11*n - 2. Let f(p) = p**3. Let z be f(2). What is the remainder when m(z) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by -12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 12*u**2 + 21*u + 1. Let b be c(10). Find the second derivative of b*o**4 + o - 6*o - 4*o wrt o.\nAnswer: 132*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1927468?\nAnswer: 2, 481867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*v + 51, 6*x - 4*x + 46 = 2*v. Suppose g - 8*g = -v. Suppose -561 = k - g*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 15741?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*9\/60*(-10)\/(-30)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -9*v**3 + 5*v**2. Let w(n) = 4*n**3 - 2*n**2. What is 2*i(c) + 5*w(c)?\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 264*((-535)\/(-20) + (-3 - 4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -6 - (-4 + 10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**12*s**(7\/5)*(s**2)**19 assuming s is positive.\nAnswer: s**(257\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 4 + 1. Suppose 4*x = 44 - 0. Let g(o) = -o - o**2 + 65 - 65 + x*o**3. Determine g(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 19\/3264, -4, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -81471 and -81487 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/936)\/((-1)\/6*-14).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-24)\/(s\/(s*s*s\/s**(-26)*s)*s)*s\/(s**(5\/4)\/s)*s*s**34 assuming s is positive.\nAnswer: s**(159\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7*5\/((-25)\/5). Is (j\/(-14))\/(3\/(-186)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 6*j + 6. Let z be x(-6). Suppose b - z*b + 4*r - 10 = 0, b - 17 = -3*r. What is the remainder when 58 is divided by 2 + -4 + b + 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 847?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1591, -3, -4 in increasing order.\nAnswer: -1591, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 143692, 286839, 429986, 573133, 716280?\n\"Answer: 143147*x + 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i*r**3*y - 42*i*r**3 + 2*i*r**2*y + 2754*i*r**2 + 2*i*y + 1012*r**3 - r**2 + 2*r*y wrt r.\nAnswer: -6*i*y - 252*i + 6072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g. Suppose 3 = -2*d + 4*d + q, 4*q - 6 = -5*d. Let o(m) = -2*m**2 + 0*m**d + 3*m**2 + 0*m**2. Calculate o(w(i)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from fppfppfp?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**3 - 92660*v**2 - 456989988*v - 514474161516 = 0 for v.\nAnswer: -2163, 27491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 19 + 5 = 0. Let i(k) = k**3 + 8*k**2 + 7*k + 5. Suppose -3*n - 4*r - 6 - 3 = 0, 5*n - 2*r = -41. Let l be i(n). Is l greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.209, -2\/5, -2\/7?\nAnswer: 0.209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + u + 9. Calculate t(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -37, 5, 368 in increasing order.\nAnswer: -37, -3, 5, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**4 + 2*u**2 - 4 + 2 + 7*u**4 in the form z*u**3 + g + m*u + y*u**4 + q*u**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + -27 + -56 - -33) + -4?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 508.\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 - 36*s + 0*s**3 + 5 + 0*s**3 - 3*s**3 - 3 in the form h*s**2 + b*s + l + m*s**3 and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*h - 9509, -215*h = 5*m - 216*h - 47587. Does 93 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -2.2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9481719 rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from {b: 2, h: 2, q: 1, r: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 4:01 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -1\/4*c**4 - 7\/2*c**2 - 5*c + 3 - 7\/3*c**3. Calculate h(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 40.25834647 and 158?\nAnswer: 117.74165353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4570255558 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: Calculate the greatest common factor of 149261920 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 0.4, 0.1, -3, -0.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from hhhuuuuhhhhuuhuhuuh.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 + 0*l**2 + 52*l - 105*l + 53*l.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -36*t**4 + 6*t**3 + 11*t**2 + 1680*t. Let d(i) = -i**4 + i**3 + i**2 + 6*i. Let j(u) = -6*d(u) + y(u). What is the second derivative of j(b) wrt b?\nAnswer: -360*b**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-l + 4*l - 4*l)*(-1 + 1 + l) + 3 - 3 + 23*l**2)*(-140767 + 480*l + 140767)*(-2 + 1 + 2) in the form y*l**3 + c + n*l**2 + r*l and give y.\nAnswer: 10560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**4 - 2*r**2 + 7*r**3 - 1006*r + 3*r**2 + 1010*r in the form x*r + g + z*r**2 + m*r**3 + j*r**4 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {l: 9, f: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*s + 581*s + 155*s.\nAnswer: 756*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5835.121um in kilometers?\nAnswer: 0.000005835121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzqqoqz. What is prob of sequence ozq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 135*s + 94 wrt s?\nAnswer: 135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a kilogram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -12\/5, 1\/172, -0.5, -0.2?\nAnswer: 1\/172","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0*c*c*c\/c**(-2\/13)*c)\/(c\/(c\/c**(-9))*c*c\/c**(-1)))**(-2\/11) assuming c is positive.\nAnswer: c**(-290\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 22.23814 centuries?\nAnswer: 222.3814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 55 = 4*m, -1384*k + 1382*k = -4*m - 158. What is the remainder when 2056 is divided by k?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*m + 4740 = 0, 2*h - 4557 - 183 = -7*m. What is the highest common factor of 60 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1632 - -6602. Is j a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/v**(-4)*v)\/(v**(-1\/16)*v))\/((v*(v\/v**5)\/v)\/(((v**(1\/24)*v)\/v)\/v)))**(-2\/33) assuming v is positive.\nAnswer: v**(-437\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**7\/840 + c**6\/120 + c**5\/40 + 5*c**4\/12 + c. Let y(q) be the third derivative of p(q). Solve y(t) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 + -1.800064. What is n rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002349203 rounded to 6 dps?\nAnswer: -0.000235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + r = -15. Let v(w) = w + 6. Let c be v(r). Find the third derivative of -h**2 + 5*h**3 - 6*h**c + 3*h**3 wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67 and 147869.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12766068769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**16*l*l**(-23))\/(l\/(l**(-19\/4)*l)*(l\/l**5*l)\/l*l) assuming l is positive.\nAnswer: l**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 742*p = 743*p - 1924, 0 = -36*m - p + 13921. Let t(k) = -44*k - 2. Let l be t(-2). Calculate the highest common divisor of m and l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0 = 12. Suppose -4*h = -2*y - 30, 403*y - 408*y - 40 = -5*h. Which is the nearest to 0.01? (a) m (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172987.\nAnswer: 179, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 109120222\nAnswer: -109120213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11002 + 41356. What is the ten thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 + -46. Is u a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -145 + 216. Let i = 138321 + -138250. What is the greatest common divisor of t and i?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-18) + -3)\/((-1)\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 9 + 12)*(-x + 3*x + x)*(-x + 4*x + x) in the form v + j*x**2 + b*x and give j.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*g**5 - 447359*g**4 + 17966255*g**2?\nAnswer: 540*g**2 - 10736616*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*g + 66 + 30 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 9:42 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((1*sqrt(42))\/sqrt(6) + sqrt(7))**2 - sqrt(21)\/sqrt(3)*-6)*-5.\nAnswer: 180*sqrt(7) + 840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -2*s - 25, -2*s + 675*h - 676*h = 19 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1022236 - 5009974 = -10*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*y**3 - 6*y**3 + y**4 + y**3 - 16*y**2 wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1585 - 758 + s**3 - 827.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -15*p - 93. Determine d(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y - 12 = 0. Let a be 58\/y - 8\/12. Let v = a + -9. Solve v = 3*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8083 + 8654. Does 59 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l + 78. Let p be n(-16). Let c be 15*(1 - 3*-2). Is -2 + c\/(3 + p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -136, -124, -86, -10, 116, 304, 566?\n\"Answer: 2*j**3 + j**2 - 5*j - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + c + 79, 4*s + 2*c - 35 = 57. Solve 38 + s = 21*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - p + 18 = p, 0 = z + 5*p - 27 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 - 8*l + 10. Let a be k(4). Solve -x = -2*n + 3, -3*n + 32 = a*x - 6*x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**4\/5 + 16*y**3\/5 - 12*y**2\/5 - 16*y\/5 + 14\/5 = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1697 + 0?\nAnswer: -1697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 17*d**2 - 19*d**2 + 3*d**5 - 4 - d**3 + (6*d**3 - 47*d**3 - 4*d**3)*(2*d**2 - 2 + 2).\nAnswer: -87*d**5 - d**3 - 2*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -338937.\nAnswer: -338938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4989 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 > 2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 13940 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**4\/20 + 118*u**3\/5 + 1235*u. Solve q(v) = 0 for v.\nAnswer: 0, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w - 97. Let l be n(-20). Solve 0 = -l*j - 4*y + 20 - 1, -3*j - y = -7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 200277*a**2 - a - 1. Let v be m(-1). Let z(u) = -45910*u - 3. Let c be z(-8). Let f = c - v. What is f rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/19)\/(4\/(-2) - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2001 (base 3) to base 10\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3256 divided by 19.\nAnswer: -3256\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 13*y**2 + 29*y - 45. Let g(r) = -r + 15. Let b be g(13). Let i(u) = -3*u**2 - 7*u + 11. Let k(x) = b*o(x) + 9*i(x). Give k(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 3*k - 24. Suppose 0*x + 32 = k*x. Calculate the remainder when 10 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/26548349 greater than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7*x - 109. Let c be a(19). Solve -4 + c = 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3311234\/9 + -368361. Let s = f - -447. Suppose s*w - 8\/9 - 2\/9*w**2 = 0. Calculate w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/(-273))\/(198\/77).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 5, 1, 4\/6523, 2\/101?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4 - (-15)\/(-42). Let m = 1.4 - 3.4. Put -0.4, m, z in descending order.\nAnswer: z, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.14 - 2.08. What is the nearest to 2\/3 in 1\/5, x, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) - 1571\/(-4). Suppose b - 1067 = -2*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**3 + 1 - 2 + x**2 + 0*x**3. Let d be o(-1). Suppose p + p - m - 3 = 0, -5*p = d*m - 40. Calculate the remainder when p is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*r - 4*r = -1390 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1388 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1643017748.\nAnswer: 2, 410754437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -2, -4.\nAnswer: -21, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 - m**4 - 3*m**2 + (-m**2 - m**2 + 4*m**2)*(-5*m**2 + m**2 - 2*m**2).\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 8, -0.06, 0.3, 2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 127003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l + 5*l - 2*l + (1 - 3 + 1)*(-2*l + 6*l - 2*l) + 2*l - 2*l + 2*l + 2*l - 1 + 1 + (-6*l + 9 - 9)*(-1 + 2 + 0) + (-15 - 14 - 3)*(-5*l + 4*l + 3*l + 2).\nAnswer: -69*l - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 9:47 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 9 + 1. Suppose -2*f - 12 = -p*x - 4*f, 2*x - 4*f = 0. Let r(t) = 3 + 5*t - x*t - 2*t. What is r(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38877 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/13)*q*q*q)\/(q\/(q*q\/(q\/(q\/q**(-1\/3))*q)))*q\/(q\/(q**(-1\/3)\/q*q))*q**(-12))**(-4\/11) assuming q is positive.\nAnswer: q**(456\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-14))**(-2\/57)\/(c\/c**(-15\/4)*c**(-32)) assuming c is positive.\nAnswer: c**(6325\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 28. Suppose -3*z = -m, -f = z - 2*z - 3. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 563777?\nAnswer: 563781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 1.44?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203631, 203638, 203645?\nAnswer: 203652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(84)\/sqrt(3))\/sqrt(4) + 0.\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 15*x. Let f(q) = -102*q**2 + 53*q**2 + 51*q**2. Give f(g(b)).\nAnswer: 450*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -339*p**3 + 7*p**2 - 16*p - 13. Let r(b) = -170*b**3 + 3*b**2 - 7*b - 6. Calculate 7*r(a) - 3*z(a).\nAnswer: -173*a**3 - a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 331.88 + -332. What is the nearest to 0 in -4, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -37*b - 2. Let d(v) = -74*v - 3. Calculate 3*d(s) - 5*p(s).\nAnswer: -37*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -907, -1771, -2659, -3577, -4531, -5527, -6571?\n\"Answer: -a**3 - 6*a**2 - 839*a - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1549*g + 306*g + 585*g - 511*g.\nAnswer: -1169*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 198?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -213 + -10?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 + 2*g**3 + 8*g**3 + g**3.\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(21 + 8\/(-2)). Let q = k - -37. Calculate the least common multiple of q and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.74, -0.5, -0.4, -0.48, -5, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.01 + 3. Let z = -3.3 + 3.6. What is the biggest value in x, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79882 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 567, 1, 10, 3, 7\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 9 (c) 42\/17 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -8*j + 4. Let u be y(-3). Suppose 2*o + 2*q = 24, -3*o - 4*q = -o - u. Solve -2*h + 0*h + o = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1467907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 56 - 209*i - 61 + 117.\nAnswer: -i**2 - 209*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19299196645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**2 - 85*f - 2170 = 0 for f.\nAnswer: -14, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1072 and 17018?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*u = 438, -2*g + 1318 = g + 2*u. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 28. Suppose 35*i - p = 34*i. Suppose 4*s + u - 83 = 0, -3*u + u - 10 = 0. Calculate the least common multiple of i and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w + 6*w - 8. What is the common denominator of 3*w\/16*(-43)\/12 and -103\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**5\/40 - 7*u**4\/24 + 2*u**3 + 4. Let o(k) be the third derivative of d(k). Find the first derivative of o(b) wrt b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 4\/11 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h**3 - 2413*h + 1208*h + 1205*h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2 + 26. Is 20 a factor of (76\/(-6))\/(v\/(-27))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262706, -262807, -262914, -263027, -263146, -263271, -263402?\nAnswer: -263539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -93830, -93869, -93928, -94001, -94082, -94165, -94244?\n\"Answer: m**3 - 16*m**2 + 2*m - 93817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 5*i. Let v(f) = -f + 9. Let p be v(15). Let m be 3*2 + 5 + p. Put -5, m, i in decreasing order.\nAnswer: m, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*h = -0*u + 20, 0 = -3*u + 5*h + 16. Is 10 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -310, 4, -0.2, -369?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 211623 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2401 + 2404. Solve 0 = -3*y - 2*i - 10, -y - 3*i - 13 = j*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -7 - (7 - 0 - (62 - 49))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(0 - 3 + 4)*(-155*y + 107*y + 210*y)*(0 + 0 + 3*y**2) in the form n*y**2 + a*y + k*y**3 + o and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, k: 4, z: 1, a: 2, w: 2, j: 3}. Give prob of picking 2 r and 2 k.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 - n**2 - 5 - 10 + 4*n**2 - 36*n**3 + 13 + 4*n as c + o*n + t*n**2 + u*n**3 and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148795553 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100282\/20748*(-6)\/2?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*7\/(-84) - (-85)\/(-30). Which is the fourth smallest value? (a) 74 (b) -2\/13 (c) x (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -5 + 0 - ((-28 - -13) + 14)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 - 21*b + 3. Let m(u) = u**2 - 7*u + 1. Let v(g) = 8*m(g) - 3*z(g). Let w be v(7). Let q(f) = 7*f**3 + 1. Calculate q(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -6*q - 59. Suppose 828 = -q*j + 26*j. Calculate the greatest common divisor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 4*k**2 + k + 3. Let n be v(3). Let r be 4\/2*6\/n. List the prime factors of (-316)\/(-36) + r\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2469*o - 11*o**2 + 2469*o.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -2 - (-3 + 4) - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyy when three letters picked without replacement from ccnfynncyyfcnyfn?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455291510.\nAnswer: 2, 5, 73, 397, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (84\/20 - 4) + 0\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -11*h**2 - 3*h + 3. Let m be w(2). Let k be m\/(-3) - (70\/15 - 4). Solve -4*j + 6 = -5*r, -4*j + 7 + k = 3*r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1204 = -0*r + 4*s, -5*r - 5*s = -3070. Let t = -607 + r. Factor -7\/3*f**4 + 0 - 3*f**2 + 0*f + 1\/3*f**5 + 5*f**t.\nAnswer: f**2*(f - 3)**2*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*b + 28*b + v + 167, 2*b - 2*v - 162 = 0. What is the lowest common multiple of b and 129?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 901.1611l?\nAnswer: 901161.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/5 - 2902239*i\/5 + 34824708.\nAnswer: 3*(i - 967353)*(i - 60)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29*y + 11 wrt y?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 99*a**3 + a - 1. Let c be j(1). Let i = 391\/4 - c. Let t be 5\/30*-4*3. Is i <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.77335 to 1 decimal place.\nAnswer: -32.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 17*d**2 - 27*d. Let m(b) = -30*b. Determine r(m(h)).\nAnswer: 15300*h**2 + 810*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 200056811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -18, 4 in decreasing order.\nAnswer: 4, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*r = -25, -4*u = -3*u - 3*r + 10. Suppose x - 169 = -u*l, 168 = 5*l + x + x. Calculate the remainder when l is divided by -2 + 2 + -2 + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0367 + 163.0367. Sort q, 5, 3, -3\/2 in decreasing order.\nAnswer: q, 5, 3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a kilogram in grams?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 - 33*y**2 + 23*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 4)*78*1\/4. Differentiate 53 + p + 129*w**4 + 24 wrt w.\nAnswer: 516*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/403560 and 45\/35872?\nAnswer: 1614240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6365 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 8*i. Let g be x(-8). Let z be (3 - -6)*(g - -2). Calculate the greatest common divisor of z and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*s - 5*t, -6*s + 7*s - 4*t + 21 = 0. Factor 10 + 585\/4*y**s + 35*y - 345\/2*y**2.\nAnswer: 5*(3*y - 2)**2*(13*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + -0.32. Which is the closest to -0.1? (a) -2 (b) -1\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 15 = -4*q, 3*k - 43 = k - 5*q. Let o = k + -13. Suppose -3*y - o*d + 18 = -4*d, -3*d = 2*y - 7. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1135, -3645, -7829, -13687?\nAnswer: -21219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 2:45 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b. Let m(w) be the third derivative of -w**5\/60 + 9*w**2. What is z(m(u))?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 10*m - 9*m. Let i be 93*(-8)\/(-60)*m. Let p = 238 - i. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7616370 to the nearest integer?\nAnswer: 2760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17442, 17562, 17690, 17844, 18042, 18302, 18642, 19080?\nAnswer: 19634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24210 by 6.\nAnswer: 4035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -160\/7 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(228)*-6)\/((-2*sqrt(6))\/sqrt(2)) - (sqrt(152) - (sqrt(152) - sqrt(152)*-2*4))\/sqrt(8)*-1)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15\/2 (b) 5 (c) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2727)\/(-810) - ((-3 - 0) + 665\/210).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, c: 1, d: 7, v: 6}. Give prob of picking 1 c and 1 v.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -35, -68, -109, -164, -239, -340, -473?\n\"Answer: -y**3 + 2*y**2 - 32*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n + 2*n)*(-n - 4 + 4)*(-1 + 0 + 3).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ftutufuutuuffttut. Give prob of picking 1 f and 3 u.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-2 - 3 + 6)*(-2*a**2 - 3 + 3 - 3*a).\nAnswer: 2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 376, 384, 398, 418, 444, 476?\n\"Answer: 3*o**2 - o + 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/24)\/((-10)\/20)*3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-1 + 0) - ((8 - 13) + -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - k - 3451, 5*v + 5*k - 5639 = -1294. Is 27 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -61. Let p = b + -33. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -24.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3587, -5806, -8029, -10256, -12487, -14722?\nAnswer: -16961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1705 and 93.\nAnswer: 5115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2 + 5 + -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8852 + 8852 + 3*k - 1233*k**2 - 3*k.\nAnswer: -1233*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 35. Solve -a*o = -s - 10, o - s + 2 = -0*s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 806349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 - -352656?\nAnswer: 353040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -222781, 3 in decreasing order.\nAnswer: 21, 3, -222781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010000011010000111 (base 2) in base 16?\nAnswer: -50687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8424 and 1224?\nAnswer: 143208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -1\/36*k**6 + 5 + 0*k**4 + 0*k + 1\/30*k**5 + 0*k**3 + 0*k**2. Factor q(w).\nAnswer: -w**4*(w - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)\/(sqrt(99) + sqrt(11)))\/(1*sqrt(5)*6)*4 + -1 + sqrt(22)\/sqrt(8)*-6 + -1.\nAnswer: -17*sqrt(11)\/6 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 46*i**3 + 65*i**2 - 17*i + 17. Let m(b) = 16*b**3 + 22*b**2 - 6*b + 6. Let z(w) = -6*h(w) + 17*m(w). Suppose z(r) = 0. Calculate r.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/737 and 107\/44.\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 7*m + 9636 = -9*m, q + 2*m - 2399 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 10, -5*f = -3*h + 6*h + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-12) + 23\/4. Let u be ((-2)\/6)\/((-2)\/r). Solve 11 + u = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 431180.\nAnswer: 4742980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71840, 144019, 216202, 288389, 360580, 432775, 504974?\nAnswer: 577177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -822 (b) 0.062 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) 1\/5 (b) -6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 15*f**2\/2 + 91839*f - 698193\/2 = 0.\nAnswer: -12249, 19\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by 69\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 0*x - 1\/192*x**8 + 1\/70*x**7 + 1\/32*x**4 + 1\/12*x**3 + 0 + x**2 + 1\/120*x**6 - 7\/120*x**5. Find y, given that t(y) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from zkpyooj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.957 and 17.\nAnswer: 16.269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -2*x - x. Suppose -5*g = -16 - x. Suppose -4*t + g = v, t = 5*v + 15 + 12. Calculate the least common multiple of 6 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0902753 meters in nanometers?\nAnswer: 90275300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2486214053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*g**3 + 90*g**2 + 2592*g + 5832.\nAnswer: -2*(g - 9)*(5*g + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 - 23382*d**3 + 60723036*d**2 - 52484803770*d - 158001550191.\nAnswer: 3*(d - 2599)**3*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 259 by -1.\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 12*p**2 + 10*p - 7. Is v(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-11)\/(-22))\/((-1)\/274). Is 16 a factor of 2 + (4 - l) + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -435313\/2 < -217657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 1. Let p = -323 + 334. What is the highest common divisor of h and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 963 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/(-24) + -3)\/((-3)\/80). Factor -132*u - 931*u**2 - q - 910*u**2 - 128*u + 1886*u**2.\nAnswer: 5*(u - 6)*(9*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -20)\/42*60.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/(-330)*-3 - 38\/133. Which is the closest to r? (a) -3\/5 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -9?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -145 - 102 - 482 - 580*w**4 + 74*w**4 wrt w?\nAnswer: -2024*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 + 0)*(-2*n - 2 + 2) + n + 0 + 0)*(-3*n**3 + 44*n**3 - 28*n**3).\nAnswer: -39*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/20)\/(5\/((-100)\/(-32)))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 86 - 21027*u**2 - 31 - 5662*u**2 - 23.\nAnswer: -26689*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 2. Let z = -16 + g. Let o = 66 - 51. Solve -41 = z*f + 5*x - 7, -3*x - o = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/4*(-16)\/(-8). Suppose 4*y = t*l - 69, -2*l - 2*y + 23 = y. Calculate the highest common divisor of l and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 25, 2\/9, 3, 0, 2\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 15*f + 4 - 2*f**3 - f**4 - f**4 + 0 - 3 as x*f**4 + j*f**2 + d*f + b + s*f**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 16536 and 17911 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 915808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/(4\/156). Let k = n + -16. Suppose 4*t + t = k. Solve 3 = 2*j - 7, -t*x - 5*j + 31 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, 5, 9845, 2 in decreasing order.\nAnswer: 9845, 108, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*q**4\/13 + 6644*q**3\/13 + 2594*q**2\/13 - 41120*q\/13 + 31872\/13 = 0. What is q?\nAnswer: -664, -3, 1, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.93 - -9.77. Let n = h + -12. Let y = 582 - 583. Which is the biggest value? (a) n (b) 2\/15 (c) 0.4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 752, 1504, 2256, 3008, 3760?\nAnswer: 4512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37142?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 5, j: 8}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/30)\/(3\/(-15)). Let v = x + 4. Solve -v = -c + 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3596822 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/6*1*-6. What is the tens digit of (-5)\/((-22)\/10 - a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -237*h**2*w**2 - 26*h*w**3 - 3783*w**3 + 2*w wrt h?\nAnswer: -474*h*w**2 - 26*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-234)\/63) + (-86)\/(-252).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.104909 and -0.2?\nAnswer: 0.0209818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 233*h**3 - h - 4 - 122*h**3 + 2*h**2 - 4*h**2 - 117*h**3 as o*h + a*h**3 + z*h**2 + i and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**5\/4 - 1229*x**4\/4 - 12527*x**3\/2 + 16090*x**2 - 4656*x = 0 for x.\nAnswer: -388, -24, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -340332 - 0?\nAnswer: -340332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13701 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*p**4*z + p**2*z + 131291*p**2 + 34*z - 12015 wrt p?\nAnswer: 16*p**3*z + 2*p*z + 262582*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9534081 and 204693?\nAnswer: 676919751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ele when three letters picked without replacement from eell.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29038?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 257363032?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - y + 7*y. Suppose o - 15*o + 56 = y. Solve -o = -2*t - 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -5*l**3\/3 - 5. Let z be (-1 + -1 + 1)*-2. Let h(r) = 3 - z + 2*r - 1. Determine q(h(m)).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -14, 5, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -4, 1, -86, 4, 47 in descending order.\nAnswer: 47, 4, 1, -4, -76, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56758?\nAnswer: 2, 13, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 19\/2*z - 1\/2*z**3 + 2*z**2 + 7 = 0. What is z?\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33733 + 1225. Let h = t + 32512.9986. Let s = h + -5. Round s to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4234 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by -2 - (4 + -14) - -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c**2 + 59*c**2 - 20*c**2 - 14*c**2 + 71935*c**3.\nAnswer: 71935*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9506080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -38 - -2 - (635 + -630).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -67, -103, -139, -175, -211, -247?\n\"Answer: -36*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 14 - 16. Let k be (s\/(1 + 7))\/((-3)\/(-24)). What is the third derivative of -5*i**5 + 13*i**5 + i**5 - 9*i**k wrt i?\nAnswer: 540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 42 (b) -789 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 101 + 20?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 33*j**2 - 160*j - 51. Let d be p(27). Let s be 4 + (1 - (0 - 1)). Let w = s + 4. Solve -l - 5*a = -27 - d, l + a - w = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - v + 33. Let l(u) = -u**3 + 2*u**2 + u - 2. Let y be l(2). Is 11 a factor of i(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1008 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69789571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**3 + 11*f**3 - 7*f**3 - 31*f**3.\nAnswer: -39*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from lqqqlqqooqyssqqqy.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1860 and -2\/813.\nAnswer: 504060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 544541478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**6\/120 + x**4\/24 - x**3\/3 - 29*x**2. Suppose o + 3*o = 0. What is m(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptp when three letters picked without replacement from {t: 6, v: 2, p: 2, w: 3}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + 116 + 7 - 59.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 8) to base 5\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 67*a + 529. Give g(74).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1700) + 5*(sqrt(1700) + sqrt(1700)*-1))*-5*-4)**2 + -4.\nAnswer: -2720004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64549387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2.7. Let v = 1783\/4 + -446. Let f = -0.3 + 0.4. What is the nearest to v in g, 5, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -6 (b) 3\/2 (c) 10 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 1:27 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -2*n + 30. Let o = 28 + n. Solve -d = -6*d - o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 - 32*o + 3. Let t be b(-16). Let d be -4*13\/26*(-3)\/(-1). Let w be (-10)\/d + 2\/(-3). Solve -f - t = -s, 4*s = 5 - w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43040250 + 30?\nAnswer: -43040220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 y, and 1 w when four letters picked without replacement from rnwyrrnwnrnyyynyr?\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39367 is divided by 1514?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 43 (b) -2\/177 (c) 3\/5 (d) 0.4 (e) 5 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 98?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h + 23562. Let o(l) = -14*l. Give c(o(s)).\nAnswer: -28*s + 23562","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -1.8. Let n = 35 - 173\/5. What is the nearest to r in -0.2, -0.5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678 a factor of 1362205056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10198, -10641, -11098, -11575, -12078?\nAnswer: -12613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54480 and 7536.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -2664, -2275?\nAnswer: -2275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - 3*g - 2. Let b(w) = -3*w**2 + 5*w + 5. Determine -3*b(f) - 5*z(f).\nAnswer: -f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -748 in 1\/6, 2, -0.16, 2\/377, 2\/5?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6472 or -6470?\nAnswer: -6470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -665 = -8*c + 1063. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 75 = -5*s, -5*z + 64 = 4989*s - 4986*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -j + 5. Suppose 0 = j*b - 4 - 5. Suppose -5*i + b*x + 2*x + 20 = 0, 0 = i - 2*x. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -16, -44, -84, -136, -200?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 o, and 1 t when three letters picked without replacement from {e: 1, t: 1, o: 1, m: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2 - (-15 + 5 - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-15)\/(-9))*5\/7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 5.12. Let h = 9.88 - v. Let g = h + -7. Is g > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007 plus -77.445?\nAnswer: -77.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1513 + 1518. Let q(i) be the third derivative of -25\/4*i**4 + 0*i + 125\/3*i**3 + 1\/2*i**u + 0 - 4*i**2 - 1\/60*i**6. Let q(s) = 0. Calculate s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d = -120. Suppose -5*k = -12 + 2. Suppose -30 = k*n - 4*n. Calculate the greatest common factor of d and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 t when three letters picked without replacement from ttrrtr?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2303\/2 - -1153. Which is the fourth smallest value? (a) l (b) 2 (c) 3.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 520 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -359848*x**4 - 2*x**3 + 2*x**2 - 35*x - 938 wrt x?\nAnswer: -8636352*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 4*k - 4*o + 13, 4*o = -k - 6. What is the smallest common multiple of 32\/40 + (-7)\/(70\/(-292)) and k?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**3 + 70*d**2 + 158*d - 578. Let f(r) = 4*r**3 + 3*r - 1. Let w(s) = -2*f(s) + k(s). Factor w(l).\nAnswer: -(l - 72)*(l - 2)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m - 19 = 197 + 375 + 269 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100778 + 10*p - 3*p**2 - 100805 + 11*p + p**2 to the form h + k*p + d*p**2 and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 7*q + 6. Let k be f(-8). Suppose i = -1 - 0. Let r = k + i. Sort r, 2, 3.\nAnswer: r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614*h - 4*i = -619*h - 3, 3*i - 4 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-720))\/(18\/648)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**5\/60 + 7*l**4\/12 + 8*l**3\/3 - l**2. Is b(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.172 and 5.836?\nAnswer: 5.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6022, -9443, -12864, -16285, -19706?\n\"Answer: -3421*j - 2601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 9*l + 17. Calculate a(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3309691 and 583.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 4*z = 0. Let s be 27\/18*(50 - z). Suppose -4*g - 3*y + 6 + s = 0, 0 = g + 4*y - 4. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1462, 4005, 7626, 12325, 18102?\n\"Answer: 539*b**2 + 926*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -129, -110?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - m - 16. Let j be i(-4). Let n(v) = 2 + 4 + 0*v**2 - 30*v - v**2 + j. What are the prime factors of n(-17)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 2*i + 40. Let t be v(5). Solve -t*g + 3*n - 10 = 0, 6*n = g + n - 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 14113.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, b: 3}. Give prob of sequence wbb.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d - 4*w - 27 = 17, 4*d - 5*w = -11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/4)\/((5\/5)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10690, -3631, 15536, 52865, 114410, 206225?\nAnswer: 334364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 5, -21531, -6, 1\/33?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -371401\/3 - -123801. Factor -u*c**3 - 14\/3*c**2 + 2\/3*c + 14\/3.\nAnswer: -2*(c - 1)*(c + 1)*(c + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370 and 8574602.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**3\/3 + 7*j**2 - 4*j. Let a be d(8). Let v = -12 - -2. Sort v, 1, 2, a in increasing order.\nAnswer: v, a, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(1\/16)*a*a\/(a\/((a\/(a**(2\/5)*a))\/a)) assuming a is positive.\nAnswer: a**(43\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 4. Let v be y(-3). Let m(j) = -3*j**3 + 239*j**2 + 2395*j + 8. Let k be m(-9). Which is the nearest to -0.05? (a) k (b) v (c) 0 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(833))*-5 + (-3 + sqrt(153) - sqrt(153))**2 + 3)*3 + -4.\nAnswer: -105*sqrt(17) - 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 4 + -3 - (4 - 8). Suppose 4*p - 2*z - 12 = x, 8*z = -4*p + 4*z. Solve 5*m = -p*i, 0 = -i - 1 + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/5 + 74805*j**2 - 10472112*j\/5 + 73303412\/5 = 0. Calculate j.\nAnswer: 14, 373997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k - k = 0. Let o(c) = 4*c + 4*c**3 - 6 + c**3 + k*c + 7*c**2 - 4*c**3. Let p = 10 + -16. Calculate o(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**4\/3 - 11800*m**3\/3 + 2904752*m**2 - 17287072*m\/3 - 69525632\/3 = 0. Calculate m.\nAnswer: -2, 4, 1474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -51 - f - 48 + 94. Let w be q(-7). Let y(h) = 3*h - 4*h + 3*h**w + 4 - 4*h - 2*h**2. What is y(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020671 (base 10) in base 6?\nAnswer: -111150543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**6\/l)**(-29)*(l\/(l**(7\/5)\/l)*l)\/l*l\/(l*l*l**(-3)*l*l) assuming l is positive.\nAnswer: l**(-722\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p. Let y(a) = -4331761*a + 3. Give y(g(l)).\nAnswer: 21658805*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156 - 157 + 2*b + b - 3*b + 107*b**2 to the form v*b**2 + y + w*b and give v.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -364\/9 - -805\/18. Calculate the common denominator of k and -59\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -18*(-6)\/2655*(-7 + 2). Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-4) + (-7893950)\/(-200) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1605\/(-9))\/(-2 + (-14)\/(-6)). Let p = f - -539. Solve p*i - 5*i = -3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -201\/13, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75850 and 93070?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -172, -341, -510, -679, -848?\n\"Answer: -169*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 12*s**2 + 21)*(3*s + 6*s + 0*s) + (1 - 1 - s)*(-s**2 - s**2 + 0*s**2).\nAnswer: 110*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 11*x - 9. Suppose -2*m - i = -11, -2*i - 3*i - 15 = 0. Let w be o(m). What is the greatest common factor of w and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.146 - 2.146. What is the closest to -1 in 3\/5, z, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1927*a*s**2 + 5*a + 28302*s**3 - 41282789 wrt s?\nAnswer: 3854*a*s + 84906*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o\/(o**0*o))\/o)\/o)**(-36)*o**(7\/2)\/o**(-3\/5)*(o\/((o*o**(-2\/9))\/o*o))**(-2\/21)*o**(-1\/7)*o**1 assuming o is positive.\nAnswer: o**(77369\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 292, 2323, 7832, 18559, 36244, 62627?\nAnswer: 99448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 3*i + 6 = 0, 2*j + 2 = 137*i - 138*i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**3*l*t**2 + 10*k**3*t**2 - 4*k**3*t - 8*k**3 - 2*k*l + l*t**2 wrt t?\nAnswer: 2*k**3*l + 20*k**3 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -197*u - 8. Is c(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1260\/(-245))\/((-10)\/18*(-69)\/(-805))?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 1287, 27, 5?\nAnswer: 1287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1045810 and 522905?\nAnswer: 1045810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*(1 - (54\/28 + 13\/182)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*q - 35 = 49*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 182 - 189.3. Let j = g - -6.8. What is the biggest value in j, -14, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3.02 (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9143.\nAnswer: 41, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g - 4. Let u(m) = -4*m - 8. Let d(v) = -94*v**2 + 270*v + 40. Let o be d(3). What is o*u(q) - 7*r(q)?\nAnswer: -2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -91*a**2 - 15112*a - 969. What is p(-166)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (979*w - 1298*w**3 + 1296*w**3 + 731*w)*(-4*w**2 + 2*w**2 + 5*w**2).\nAnswer: -6*w**5 + 5130*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*d + 123094 = 0, -123040 = -4*q - 194*d + 198*d. List the prime factors of q.\nAnswer: 2, 15383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -42.5.\nAnswer: 12.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 19*d**2 - 21*d + 3. Suppose 7*i - 14 = -v + 3*i, 2*v = -3*i + 23. Is z(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from {j: 3, d: 7, t: 1, n: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/350 and -29\/6300.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 + 2*h**4 + h**5 + 5*h**5 - 2*h**5 - 5*h**5 + (4*h**3 + h**4 - 4*h**3)*(-12*h + h + 2*h) - 2*h**4 + 2*h**4 - 2*h**5.\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6*g**3 + 3*g**2 + 4*g + 4. Let t(n) = 17*n - 78. Calculate the remainder when t(11) is divided by z(-2).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8933*d**2*h + 8*d**2 - 3411*d*h - 1258*d - 9 wrt h?\nAnswer: 8933*d**2 - 3411*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x. Let u be f(3). Let t = -2 - u. Solve 0 = 2*b - 4*z + 13 - 1, -5*b = t*z + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 736218808 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1151600224 + 3?\nAnswer: 1151600230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1897, 3794, 5691, 7588?\nAnswer: 9485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*v - 5523000. What is v rounded to the nearest 10000?\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 55, 188, 489, 1030, 1883, 3120, 4813?\nAnswer: 7034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in fifty sevenths of a week?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/4)\/((-93)\/2). Let i = u + -67\/310. What is the third smallest value in 4\/9, i, 2\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 2*v**2 - 930*v - 25. Is t(-46) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -695*n - 5860. Calculate the remainder when t(-11) is divided by 354.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12319.147 + 3996.886. Let t = 8333 + y. Let w = -0.161 - t. What is w rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/11 and (-26)\/154 + (-10)\/35 + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:22 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13514, 13519, 13524, 13529?\nAnswer: 13534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2790566803?\nAnswer: 19, 146871937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -54. Let i(g) = -g**2 - 5*g - 2. Let j(d) = -2*d**2 - 16*d - 6. Calculate z*i(p) - 3*j(p).\nAnswer: -4*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 < 1070?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*j*p**3*w**3 - 13*j*p**3*w**2 + 9*j*p**2*w**3 + 3*j*p**2*w**2 + 2*j*p*w**2 - 2*j*w**3 - 2*p**3*w - w**2 wrt w?\nAnswer: 486*j*p**3 + 54*j*p**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 3)\/(4 + -5). Suppose -3*i + 3 = -6*i. Let o be (i\/(-2))\/((-7)\/(-8)). Which is greater: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12759, -3, 9, -4 in increasing order.\nAnswer: -4, -3, 9, 12759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 24 = 4*f. Let n = -163 + 49. Let l be n\/(-7) - (-4)\/(-14). Which is smaller: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 + 4*y + 2. Let v be w(-2). Let t(a) = 1 + v + a + 0 + 5. Determine t(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 less than 21527992414.2?\nAnswer: 21527992785.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113 + 176. Let r be ((-8)\/(-18))\/(14\/p). Solve r*b + 8 = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 25 = 3*j. Suppose -j*b + 0*b + 25 = u, -5*b - 3*u = -35. Suppose x + 530 = 6*x + 3*r, -3*r - 451 = -b*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -53. Let y be (-2)\/(-13) + 328\/(-104). Sort -7, 3, y, s in increasing order.\nAnswer: -7, y, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -5*q**4\/24 + 53*q**3\/6 - 34*q**2. Let j be m(10). Solve 1\/2*z**j - 1\/4*z**4 + 1\/4 - 1\/2*z + 0*z**2 = 0 for z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + sqrt(363))*-5 + sqrt(24)\/(-2*sqrt(288))).\nAnswer: 661*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*(-126)\/770*(-10)\/21.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4535 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414620.3 tonnes to grams.\nAnswer: 414620300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 + 3)*(1 + 1 - 1)*(3*v - 13*v - 58*v) - 4*v + 4*v - 5*v.\nAnswer: 471*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 6*i**2 + 4*i + 1. Let t be y(-5). Let b = t + -2. Find the second derivative of b*s + s**4 - s - 2*s wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 1:27 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(98)*2)**2 + (sqrt(22) + (sqrt(550) - -1*sqrt(550)))\/sqrt(11).\nAnswer: -1960 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from {z: 5, f: 1, t: 3, p: 1, c: 1, k: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 4:15 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 604032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 614 + -261. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 2 = -5*d. Let x(y) = -52*y**3 + 2*y + 2. Let v be x(d). Suppose 74 - v = -4*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1456*f + 1440*f - 3*b + 83 = 0, 0 = -f + 3*b - 49 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**3\/3 + 38290*c**2\/3 + 1070606*c\/3 + 344106 = 0.\nAnswer: -19117, -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-six fifths of a kilometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 7*y**2\/2 + 25. What is k(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4036073.\nAnswer: 97, 41609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66.3699 + 0.0699. Round w to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3947474814.0000209 + -3947475111. Let o = 297 + w. Round o to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -1. Let k(j) = 6*j**3 - 4*j**2 - 88*j - 11. Let z(h) = -11*h**3 + 7*h**2 + 154*h + 20. Let d(f) = 7*k(f) + 4*z(f). Calculate d(q) + 5*i(q).\nAnswer: -2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 1430*w + 21. Let d be o(-5). Let a = d - -13196. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-14)\/2205*9?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 970*k - 11. Let a(l) = 323*l - 4. Let i(p) = -8*a(p) + 3*x(p). Let v be i(1). Let o = 620 - v. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -818 + 13. Let p = d + -113. Suppose -27*g**4 - 13*g**p + 9*g**3 + 9*g**2 + 10*g**2 - 30*g**5 = 0. What is g?\nAnswer: -1, -2\/5, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-104))\/((-732)\/(-183))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18940, 37887, 56840, 75799, 94764, 113735?\n\"Answer: 3*q**2 + 18938*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 0*n - 7\/2*n**2 - 2\/3*n**3 - 7. Let f(o) = 2*o**2 + 8*o. Calculate -5*d(a) - 4*f(a).\nAnswer: 2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -13 - 106*h + 52*h + 56*h. Let v be c(13). Suppose 6*q - v*q + 210 = 0. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 3 (b) 10 (c) 2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -64704905 divided by -6?\nAnswer: 64704905\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 604*d + 163699. Calculate l(-271).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/40*(6 + -1). Suppose 72 = w + 4*m + 15, -3*w + y*m = -141. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.638634 and -1.2.\nAnswer: -1.9663608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 22\/4)*(5 - 1). Suppose 5*f - d*k - 558 = 0, 0*k - 557 = -5*f + 3*k. What is the highest common divisor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 12*s + 12. Let o(w) = -13*w - 35*w - 2*w**2 - 48 + 5*w**2. Let k(r) = 15*b(r) + 4*o(r). Find d, given that k(d) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 76.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 108001, 108519, 109037, 109555?\n\"Answer: 518*r + 107483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2339240 to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 + 3. Suppose 7 = 2*p + 5*q - 16, -21 = -3*p - 3*q. Let w be (4\/(-6))\/(-19 - -18). What is the biggest value in -1\/7, r, w, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.1 + 0.9. Let z = 1.8 + -2. Suppose 0 = c + 3, -7*h + 4*c + 2 = -2*h. What is the third smallest value in j, z, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/39 and 48\/699751.\nAnswer: 2099253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.03, 1752\/925 in descending order.\nAnswer: 3, 1752\/925, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 2*z + 1. Let f be h(-2). Let b(y) = -5*y - 2 + 4*y + 3. Let l be b(-2). What is the greatest common factor of l and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 4*y**2 + 3*y + 2. Let d(g) = g - 8. Let r be d(11). Let x be p(r). Find the third derivative of 4*t**2 - 2*t**x - 4*t**3 + 2*t**2 wrt t.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from sgetebggegdeseg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 1:30 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 5:09 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 152*a**2 + 71*a + 101858?\nAnswer: 304*a + 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 + -37. What is the remainder when v is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3.782 + -35797\nAnswer: -35800.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3. Suppose -9 = -3*r + 4*n, -f = r - n - 3. Are -0.1 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -1\/6 (c) 6 (d) -1\/5 (e) 1 (f) -168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-2) - (-1068 - -1066))\/(4 - (-4265)\/(-1060))?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-2)\/(3 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10746237911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -28 - k - 24 + 101 - 33. Determine p(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c - 3 + 1 - c. What are the prime factors of l(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4 = z, -3*z - 5*r = -2*z - 12. Let t(d) = 0 - 4*d - 2 - z*d - d**3 + 1. Let k(o) = o**3 + 5*o + 1. Calculate -6*k(f) - 5*t(f).\nAnswer: -f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*c + 3*c - 7*c.\nAnswer: -31*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*z - 123*z - 156*z in the form c*z + o and give c.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.12 + 0.12. Let h = -22 - n. Let d = -9.006 - h. What is d rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 9. Let g = 6 + -5.4. Let m = -0.4 + g. What is the second smallest value in -7, u, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s + 40. Let u be i(-11). Suppose 4*h + l = u*h - 24, 0 = -5*h + l + 40. Suppose 7*z + 2 = h*z. Solve -z*g + 4*f = 2*g, g - 3*f - 6 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37990 + -22030. Let j = -15960.17986 + o. Let s = 0.18 + j. What is s rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16334557919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348*s**3 + 0*s + 0*s.\nAnswer: -348*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149353.\nAnswer: 233, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64909*b**5 - b**2 - 57827 wrt b.\nAnswer: 3894540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.117718 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*d - d + 14560. Suppose -4*n = -0*n + 4*b - d, 2*b = 2*n - 508. List the prime factors of n.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 34. Suppose 20*l = x*l + 32. Differentiate 0 - 12*f**2 - 5 + 21 - l*f**2 with respect to f.\nAnswer: -32*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, w: 7, h: 2, d: 1, i: 4, p: 1}. What is prob of sequence id?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-2 + -3)) + 1 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/13 (b) -1\/6336 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -227*v - 10. Suppose -34 = 3*l - 4*f - 14, 0 = -2*l - 4*f. What is the hundreds digit of b(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*l - 850*l = -37152 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*m + 83 = -57, -4*z - m - 112 = 0. Let n be (-8)\/z - 6948\/14. Let c = 1837 - n. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3877, -30891, -104215, -247003, -482409, -833587, -1323691, -1975875?\nAnswer: -2813293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4 - 8*g**3 + 30*g**2 + 116*g + 80 = 0. What is g?\nAnswer: -5, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -17\/6, -1, 3\/2, -108\/13 in increasing order.\nAnswer: -108\/13, -17\/6, -1, 1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -7*v + 2*v. Suppose -891 = -v*q - 9*q. Calculate the greatest common factor of 33 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 707403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6529, -6548, -6563, -6574, -6581, -6584, -6583?\nAnswer: -6578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = t + 20, -2*t + 3225 - 3249 = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1781283 + -0.2.\nAnswer: 1781282.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32626.\nAnswer: 2, 11, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (1 - (-2 - 7)). Let v = p + 9. Suppose -2*s - 2*a + v = 0, -s - 4 = 5*a - 1. Solve -8 = -3*j + 2*x, s*x = -j + x - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(119) - (6*(sqrt(119) + (sqrt(119)*-2 + sqrt(119) - sqrt(119)) + sqrt(119)) - sqrt(119)))\/(4*(sqrt(63) + sqrt(7))) + 0)*5.\nAnswer: -3 + 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 14019*u - 56100. Determine k(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*1 + (sqrt(70) + sqrt(70) + sqrt(70) + (sqrt(70) - sqrt(70)*2))\/sqrt(10) - (sqrt(63) + -5 + -1).\nAnswer: 6 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.3 + 11. Round s to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*w + 20*w + 2 + 15*w + 22*w to f*w + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 24*d. Does 12 divide n(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*b**3 - 243*b**3 + 491*b**3.\nAnswer: 303*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w*w**(18\/11))))\/w**(6\/11) assuming w is positive.\nAnswer: w**(34\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -147 + -12. Let f = t + 270. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2496599615?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 10:55 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 620 - 620. Let u(z) be the first derivative of b*z**3 - 1\/2*z**4 + 12 + 0*z - 2\/5*z**5 + 0*z**2. Suppose u(x) = 0. What is x?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1683)\/(-132) + (-3 - 1)\/(-1) and ((-53)\/(-228)*1)\/(-1)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 24 = -f. Let y(p) = f + p + p**2 - 2*p - 9. Let u be y(-4). Round u to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 5*x - 2. Let s be k(-5). Suppose -4*a = -0*a + 28. Is a at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 3*w + 5 - 141*w.\nAnswer: -144*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 4*t**2 + 6*t - 14. What is the remainder when 17 is divided by c(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5105 is divided by 445?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8798, 15730, 22662, 29594, 36526?\n\"Answer: 6932*n + 1866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 + -6.88. Let w = -231 + 227. Suppose 16 = 2*m + 18. What is the fourth smallest value in w, 5, m, k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 20129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*g**2 - 15 + 15)*(-g + g + g).\nAnswer: 29*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - 3 + 3)*(-15*p**2 + 62*p - 62*p) + (97*p**2 - 47*p**2 - 74*p**2)*(-28 + 28 - 8*p) in the form a*p + i*p**2 + b + v*p**3 and give v.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = p - z, -3*z = 3*p - 8*p + 33. Suppose -2*r + p*r - 200 = 0. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*q - 6. Let r = q - -3. Does 17 divide 33 + r\/2*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/51 - 21\/34)*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 350793 = 12*p - 17*p, -4*p - 5*s = -280648. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**3\/q**3)\/(q**(2\/17)\/(q\/(q\/q**(-4)))))**(-2\/11) assuming q is positive.\nAnswer: q**(140\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(2448))**2.\nAnswer: -9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.046867, 0.1, -2\/267 in ascending order.\nAnswer: -0.046867, -2\/267, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-102)\/(-5))\/((-3)\/(-20)). Suppose 2*j + 5*i = q - 30, 3*j - 181 = -2*i. Suppose -2*f + j = f. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5 + 616*s**4 + 1798*s**3 - 9736*s**2 + 7320*s = 0. What is s?\nAnswer: -305, -6, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10242 divided by -3?\nAnswer: -3414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 3*f + 4*f)*(0*f - 3*f + f + (f + f - 3*f)*(2 + 2 - 2) - f + 2*f - 2*f - 2*f + 3*f - 3*f + f - f - f - 3 + 3 - 2*f + f + 4*f - 4*f).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -33*t + 2 - 4 + 5. What is the remainder when j(-3) is divided by ((-36)\/(-342))\/(4\/988)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 18. Suppose -3*o + o**4 + 4*o**3 + 2 - p*o**3 - 3 + o = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - -7) + -1)*27\/(-11)*6347\/(-1731)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**3 - 2*f**2 + f. Let s = -26 - -78. Let m = s - 102. Let y = m + 51. Give r(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 2*t + 6. Let u be w(6). Let o(p) = p**2 + 5*p - 26. Let k be o(-9). Calculate the greatest common divisor of k and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 3 = -h - 2*x, 0 = 2*x + 2. Suppose 3*c + 0*c + 4*n = 26, 2*c - 2*n = 8. Let o be (-17)\/c + (-2)\/12. Does h = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i - 50*i = -28*i - 16. Let p(d) = d**3 + 4*d - 6*d + 10*d - 9 + 10*d**2. Is 5 a factor of p(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -12*i**3 - 2*i**2 - 2*i + 1. Suppose 3*o + 12 = -3*o. What are the prime factors of h(o)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, -1\/5, -1.5, 27 in decreasing order.\nAnswer: 27, 4, 0.2, -1\/5, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5502837611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32426*m**3 + 1389*m - 5 wrt m.\nAnswer: -194556*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3024*b - 57454. Give n(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(3\/18)\/(25\/(-10))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181762 divided by 25966.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(132) + (sqrt(132) - -2*sqrt(132)))*4)\/(sqrt(12) + 4*(sqrt(12) + -1*sqrt(12))).\nAnswer: 3 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 10. Let b(r) = -r**2 - 10*r + 29. Let o be b(-12). Let y(v) = v + 12. Let z(n) = o*a(n) + 4*y(n). Let i(x) = 12*x + 27. Give 4*i(f) + 54*z(f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11847 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.2 and 3836.69064097.\nAnswer: 3837.89064097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350223, 700452, 1050681, 1400910?\nAnswer: 1751139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10201210011 + -1010110?\nAnswer: -10202220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/18 and 12\/77.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8889 and 219.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5 - 10. Let f be -1*(y + 2) - -43. What is the highest common divisor of f and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2562*a - 7. Let z(m) = -7687*m - 20. Let u(f) = 17*w(f) - 6*z(f). Is u(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*b**2 - 147*b**2 + 49*b**2 + 45*b**2 - 822*b**3 + 75*b**3.\nAnswer: -747*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 11:04 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/(-12))\/(2 + 52617\/(-26268)). Let k = -21931\/45 + b. Find the common denominator of 37\/33 and k.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -11*c**2. Let y(h) be the first derivative of -h**3 - 13*h**2\/2 - 2355. Determine y(a(t)).\nAnswer: -363*t**4 + 143*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51.5 - 53.5. Let x = 2\/89 - 271\/178. Let h(l) = l**2 - 3*l + 2. Let y be h(3). Which is the closest to i? (a) y (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6a71e + 2b6?\nAnswer: 6a9d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25584 * -0.2.\nAnswer: 5116.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 88542.08cm?\nAnswer: 885.4208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12749154 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*l - 52*l + 107*l = 32 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -37 (b) -125 (c) 2\/15 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*g**2 - 148*g**2 + 80*g**2)*(-162 - 148 + 103) to q*g**2 + o + s*g and give q.\nAnswer: 10557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*y - 102 = 0, 0 = 2*y + 2*y + 16. Let i be (-12)\/(-4) - (-22 - (-7 - -17)\/2). Is i smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20110011 (base 3) in base 12?\nAnswer: -287a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 2844*q**2 - 91*q + 1705. Differentiate r(n) with respect to n.\nAnswer: 5688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**4 + 10490*d**3 - 27583357*d**2 + 384626340*d - 1344395556 = 0.\nAnswer: 7, 5238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/2*720\/(-150). Does n = 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*1*(33384\/(-390) - -84)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -32*(-2)\/(2 + 2). Let l be (-4)\/z + 42\/8. Let i(s) = 7*s**2 - 6*s + 4. Is i(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2814 + -112553\/40. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*t)*(-5 + 2 + 2) - 10*t - 5*t + 4*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -307.\nAnswer: -1842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/7 (b) 3\/7 (c) 1\/26 (d) 1 (e) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152 + -145 + (1 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2057) + -2)*5.\nAnswer: -9 + 55*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-14 + (3 - -4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7460, -5304, -3144, -980, 1188, 3360, 5536?\n\"Answer: 2*i**2 + 2150*i - 9612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 16) in base 9?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**2*i**2*m + h**2*i**2 + 60*h**2*i*m + 512*h**2 wrt m.\nAnswer: 2*h**2*i**2 + 60*h**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((((-4)\/(-10))\/((-672)\/(-210)))\/(48\/(-64)))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83577.\nAnswer: 3, 13, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-346 + 956 + 549)*(-3 + d**2 + 3).\nAnswer: 1159*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 13468*n**2 - 13468*n**2.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 100 = -7*k. Is 24 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - o - 14 - 7, -5*v - 5*o - 5 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.69237 to 3 decimal places.\nAnswer: 0.692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -14\/356543, 3, -3\/7?\nAnswer: -14\/356543","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r + 2. Let c be s(-2). Let k = c - -6. Solve -i - 21 = 2*w - 6*w, -2*w + k*i = -12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.17 + 0.83. Suppose 5*m - 44 = -2*t + 139, 3*m = 4*t + 89. Let p = -106\/3 + m. Which is the nearest to y? (a) 4\/7 (b) 2\/13 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.75 and 0.09.\nAnswer: 1.2375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i + 2. Let k(m) = -2*m**2 - 6*m + 149. Let p(j) = -6*d(j) - k(j). Let f be p(11). Sort -1\/3, f, 0.\nAnswer: -1\/3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (25 - 29 - -31 - 17)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - k + 116*k**2 + 2 - 115*k**2 + 3*k. Let z be g(-3). Suppose -6 = -10*w + z*w. Solve -2*f = w*f - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 12934.\nAnswer: 3\/12934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*k**2 + 92*k**2 + 91*k**2.\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-22819.\nAnswer: 6845.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24 - 0 - (31 + -49 + 41 + -4 - 15)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 3502296*b.\nAnswer: 4*b*(b - 875574)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-204)\/36 - -7)*3\/4. Which is smaller: p or 1\/176?\nAnswer: 1\/176","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/4 and 71\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*(-25)\/90*1\/(145\/2).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y**3 + 23*y**3 + 15*y**3 - 79*y**3.\nAnswer: -24*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + v**5)*(-2 + 2 - 2) + 54*v**5 - 22*v**5 + 2*v**5 + 58*v**5 + 4.\nAnswer: 90*v**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27828454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-1026)*((-120)\/(-8))\/(-120)*-6\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -41*r - 327. Give n(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4422)\/(-335))\/((2\/(-5))\/(-1)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 10:58 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 8*x + 4. Let u be q(0). Does 45 divide (u + 219 - -4)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbjijibjibbbib. What is prob of picking 1 b and 1 i?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k + 445 = -32*k + 79 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -176655 (b) -0.3 (c) 0.3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxxpuuu. What is prob of sequence xx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 7:27 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1 = n. Let o = 5 - 4.5. Let h = 7.3 - 7. Which is the closest to n? (a) h (b) 2\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = 6*h + h - a - 20, 3*h - 6*a = -6 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + r. Solve -4*f - 7 - 5 = r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3*l + 31, 0 = 3*b + b + 3*l - 25. Let n = b + -5. Calculate the common denominator of -1 - (n + (-141)\/28) and 131\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 7. Let p be j(-4). Suppose -p*w = 2*b - 26, -2*w - 5*b + 23 = 2*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(3 + ((sqrt(228)\/sqrt(4)*-2)\/(sqrt(3) - (sqrt(3) - (sqrt(3) + -1*sqrt(432))))*-4 + -3)**2).\nAnswer: 48*sqrt(19)\/11 + 2305\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**2 - 155*f - 762 wrt f?\nAnswer: -2*f - 155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4357 - 202643. What is o rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -8*n + 10. Let g = 16.7292 - 0.0792. Let c = g - -1.35. What is the second smallest value in c, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2204*c*z**2 - 20*c*z + 611*z wrt z.\nAnswer: -4408*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 3*c + (5 - 4 + 0)*(15 - 15 + 2*c) to the form f*c + k and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1254987 or 4\/19?\nAnswer: 1254987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.9 + 11.1. Let x = -1.2 + y. Let z = -2.2 - -3.2. Sort x, z, 3 in descending order.\nAnswer: x, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in 605, -5, -2\/13, -1\/2, -0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z - 46. Let t be q(-8). Suppose l + 4*y + 49 = 4*l, 2*y = -l + 33. Let o = l - t. What is the remainder when 50 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 8:30 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -579343 + 1359344. Suppose -q + 3*q = -2, -q - u = -l. Suppose l = v + v. Round v to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d - 4. Let o be w(4). Let z(l) be the third derivative of l**5\/60 - l**4\/4 - l**3\/3 - 56*l**2. Let m be z(4). Is m bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1175 + 1175 + 47*k)*(k + 2*k - 5*k)*(0*k + k - 3*k).\nAnswer: 188*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23242695 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 28. Let s = n + -8. Solve 5*a - i + 3*i + 33 = 0, -3*a - 3*i - 27 = s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 294758 and 27542?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 6. Suppose g*c + 3 - 20 = 2*v, 2*c = v + 7. Suppose 5*r = -0*r + 10, 5*h = c*r + 94. Calculate the least common multiple of 16 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4. Suppose 5 = -l - g. Which is greater: l or -6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1027037, 2054074, 3081111, 4108148, 5135185?\nAnswer: 6162222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/((-4896)\/(-180)))\/(60\/(-16))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/33 and 1576\/1056 + 2\/(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-13)\/3 + 3)*-9. Suppose 0 = 4*y + y - 575. Let c = o + y. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.96? (a) 1 (b) -1\/3 (c) 13204\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/10627593 and 3\/11.\nAnswer: 116903523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from {v: 3, m: 4, w: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765887887 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 11*h**2 + 5*h - 7. Let s be c(2). What is the highest common factor of s and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 1:05 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37891862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(132) - -2*sqrt(132) - sqrt(132))\/sqrt(12) + sqrt(33)\/(sqrt(33)\/(sqrt(11)*-2)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.2 and 28957.\nAnswer: 237447.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20574 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-11 - (-11 + -8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11*a**2 - 5*a - 18. Let x(o) = 20*o**2 + 10*o + 34. Give 11*i(k) + 6*x(k).\nAnswer: -k**2 + 5*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16022 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -203105*y - 442211 wrt y.\nAnswer: -203105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 546 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-24)*-18 + -7. Is q bigger than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/5 + 3544*m**2 + 17746*m\/5 - 212664\/5 = 0.\nAnswer: -4, 3, 8861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -11*w + 88. Let c(a) be the first derivative of -3 - w*a + 1\/2*a**2. Give c(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 16*j**2 + 2*j - 2. Let h(p) = 273*p**2 + 35*p - 35. Let a(l) = -35*g(l) + 2*h(l). Let r(i) = -16*i. Give a(r(v)).\nAnswer: -3584*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 10*h**2 - 21*h - 4. Calculate the smallest common multiple of 54 and g(5).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*g + 1, -4*w + 3*g + 2*g = 7. Suppose -d - 4*j = w, -d = -4*d + 4*j + 10. Find the third derivative of 2*u**2 + d*u**4 + 3*u**4 - 4*u**4 wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 11*w**2 - 4*w + 5. Let v(f) = -23*f**2 + 9*f - 11. Suppose -24*o + 128 = -16. Give o*v(k) + 13*m(k).\nAnswer: 5*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 99530 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -16*q**3 - 12*q**2 - 2*q - 255. Let j(i) = 48*i**3 + 34*i**2 + 6*i + 735. What is -6*j(p) - 17*t(p)?\nAnswer: -16*p**3 - 2*p - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.23064 milligrams in kilograms?\nAnswer: 0.00009323064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22a12 (base 15) to base 5\nAnswer: 12012032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = -2. Let c = 0 - h. What is the second derivative of 3*w - 4*w - 2*w**5 + c*w wrt w?\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-2 - 7\/(105\/(-37)))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12232 - 3110110033?\nAnswer: -3110031201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/99 and -50\/2013.\nAnswer: 6039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21685 is divided by 10834?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b**(-7))*b)\/b)**2\/(b**(-5\/7)\/(b**(-1\/5)\/b)) assuming b is positive.\nAnswer: b**(543\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 666?\nAnswer: 1\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 11. Calculate h(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -10*o + 0*o**3 - 7\/4*o**4 - 8 - 2*o**2. Let y(s) be the first derivative of t(s). Differentiate y(j) wrt j.\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34\/5 - -316\/45. Let u be 2\/((16\/6)\/4). Which is the biggest value? (a) u (b) d (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 838221815 to the nearest integer?\nAnswer: 28952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 4*g + 2*f - 66, 0 = 3*g - 5*f - 82. Suppose -65 = -2*z - g. What is the remainder when 66 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 1 (c) 107 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*t**4*z - 15*t**4 + t**3*z + 16*t**3 + 68*t**2*z - 2*t**2 - 70*z wrt t?\nAnswer: -144*t*z - 360*t + 6*z + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 - 11542*j\/3.\nAnswer: -2*j*(j + 17313)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unuo when four letters picked without replacement from occoooooncnuoucnc?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 5*h**2 + 6*h - 6. Let l be 1\/((-1)\/(1 + -6)). Calculate the remainder when 47 is divided by n(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(272) + -2*sqrt(272))**2.\nAnswer: 240*sqrt(17) + 1782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i + 74*i - 8*i + 18*i as a*i + p and give a.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 153 = 3*y, 1 + 3 = -2*y. Let m = 157\/3 - f. Let h = -1.9 - 0.1. Which is the smallest value? (a) h (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-5) - (-78)\/15. Suppose 72 = -g + j*g. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*n + 4 - 4 - 37*n + (n + 4*n - 4*n)*(1 + 1 + 0).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -196561*g**4 + 173*g**3 - 55292927?\nAnswer: -786244*g**3 + 519*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**6\/15 - y**5\/10 + y. What is v in s(v) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 5*s**2 + s - 1. Let r be f(5). Suppose 5*t + 42 = -2*m + 9, -m - r*t = 18. Let n = 18 + m. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156629026 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and 11443 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19154 + -19154.28147. Round h to three decimal places.\nAnswer: -0.281","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0454067 rounded to three decimal places?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 113\/4. Let d be 4\/27*6\/(-4). Let t = -1.1 - -1. Which is the closest to t? (a) f (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - 321*q**2 + 10604*q - 259. Determine i(114).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 709 is divided by 45?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*l + 3. Let v = -1 + l. Suppose -t - 3*j - 10 = -7*j, 2*t - v*j + 2 = 0. Sort t, 0.2, 1\/11.\nAnswer: 1\/11, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 + 32*z + 11. Let d = 4331 + -4341. What is q(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124193?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-6)\/2 + (-75)\/(-27)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100.158 - -0.158. Let h = -99.97 - b. Is h greater than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8113*o**2 - 6998 wrt o?\nAnswer: 16226*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(52)*1)\/(((sqrt(4) - (sqrt(4) - sqrt(8)\/sqrt(2))) + sqrt(4))*-6).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b**2 + 27. Let n(c) = 17*c**2 - 53. What is -6*n(a) - 13*v(a)?\nAnswer: 2*a**2 - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 595519*o - 2089615.\nAnswer: 595519","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/5)*o)\/((o\/(((o\/(o*o*o\/((o**14\/o)\/o)*o))\/o)\/o))\/o))\/(o\/(o\/o**(2\/19)*o))**(3\/2) assuming o is positive.\nAnswer: o**(1813\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*i = 1 - 15, 2*v + 5 = 5*i. Let w(m) = 12*m + 32. Let k be w(v). Let f = k + 258. Calculate the highest common factor of 92 and f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 24 = -4*h. Let g(u) = u**3 - u - 3*u + 7 - 4*u**2 - 2*u. Let v be g(5). Solve 10 = -h*y - v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Suppose 4*p - 425 = 5*z, -k*z - p + 158 = 519. Let t = 144 + z. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 1)*(48*u - 48*u + 4*u**2 - u**4) - u**4 - 2*u**4 + 4*u**4.\nAnswer: -3*u**4 + 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) 2 (b) 0.2 (c) -2553\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/20)\/(42\/70). Let r = m + 40\/3. Find the common denominator of -61\/78 and r.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 17\/3 (b) -1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*b**3 - 11342*b**2 + 23772*b - 2592.\nAnswer: 2*(b - 216)*(b - 2)*(26*b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5460740472 + 5460740497.00000077. Let w = o + -25. Round w to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 0 - (63 - 56)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91f (base 16) to base 3.\nAnswer: 10012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2653 by 2979.\nAnswer: -2653\/2979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 0.36. Let j = -0.04 + h. What is the third smallest value in -0.06, -5, j?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-187)\/(-33)*(3 - (3 + 3)). Let w(i) = i**3 + 18*i**2 + 16*i - 18. Let h be w(y). What is the nearest to 30 in 1, -5, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tctqocgk. Give prob of sequence ccqk.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12104 by -1513.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1880498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 2, -51, 63, 20 in descending order.\nAnswer: 63, 20, 5, 2, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**46*b\/(b*b\/b**(2\/49)))\/((b**(3\/14)\/b)\/(b\/b**34)))**(-12) assuming b is positive.\nAnswer: b**(-7542\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-1))\/(1\/(-9)). Let m = -4 - j. Suppose 3*x + 147*t - 8 = 145*t, 2*x - 20 = -5*t. Solve -m*n + 20 = x, 2*o - 3*n + 21 = 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 181*g + 166. Let p(k) = -56*k - 55. Give -7*p(n) - 2*q(n).\nAnswer: 30*n + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-15))\/((-4)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-3)\/(-12) - -3. Let g = 0.1 + -1.1. Let u = -0.2 + 0.5. Which is the second smallest value? (a) u (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*m - 0*m. Suppose w - 2*f + 22 = 4*w, 0 = m*w + 3*f - 27. Suppose -2*z - w*t = -196, 2*t = -5*z + 604 - 154. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from {m: 1, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143 - 71*l**3 - 101 + 236 to g*l**2 + d*l**3 + m + u*l and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + (sqrt(85) + (sqrt(85)*-2*-6 - sqrt(85)) + sqrt(85))\/(4*sqrt(15)\/sqrt(3)))**2.\nAnswer: 65*sqrt(17)\/2 + 3241\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 3*p + 0 + 7 + 3.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2 - 1 + 3 - 1 + (-1 + 4 - 1)*(-8 + 6 + 6))*(-2*v + 4 - 4).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j + 105 = 0. Suppose 2*d + 3*d - j = 0. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10431 divided by 171\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1465*p = 1448*p - 4221100. Round p to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 s when two letters picked without replacement from {s: 1, u: 1, p: 1, g: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4) - 4\/(-8). Suppose j*z + 2 = z. Let d be (-1 + 0)*-1*5. Calculate the highest common divisor of d and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (9 - (-30 + 20)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and 31.58.\nAnswer: 37.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10)*t*t*t**12*t)\/((t\/((t*(t**(-12)\/t)\/t*t)\/t))\/t**(-2\/21)) assuming t is positive.\nAnswer: t**(-191\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39587907 to the power of 1\/3, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2560389*y**2 - 4362*y + 235 wrt y.\nAnswer: -5120778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*j + j = -32, 2*b - 36 = 5*j. Suppose 0 = 4*z + 8 + b. Calculate the common denominator of 87\/4 and (-118)\/8 + (z - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.91 - 0.09. Let l = 1115.9 + -1116.4. Put -0.56, t, l in increasing order.\nAnswer: t, -0.56, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y - 10. Let n = -448 - -73. Let a = n + 382. Calculate w(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w. Let s = 19 - 12. Suppose -4*r = -d + s, -5*d - r - 3 = 4. Let a be k(d). Solve -a*n + 0*n - 20 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-20))\/((-9)\/15)*4. Factor 2\/9*z**2 + 4\/9 - r*z.\nAnswer: 2*(z - 2)*(z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 a factor of 127913136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 49*a - 63. What is the units digit of t(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27874, 55747, 83620, 111493, 139366?\n\"Answer: 27873*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 737711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-6) - 10\/(-4). Suppose 4 = 4*t - z. Solve -t*w = 3*g - 4, w = 3*g - 0*w + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppb when three letters picked without replacement from atpptapatattpbta.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 + 3 = 0. Suppose -h*q - 2 + 7 = 0. List the prime factors of 13*(1 + q + -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p - 3*p - 9*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/114 and (-11 + 14)*(-287)\/(-504).\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 2 + -2 + 1. Suppose t*j = 3*j - 9. Find the second derivative of j*h**4 + 0*h**4 + 4*h - 2*h wrt h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120002 + -10?\nAnswer: 112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 32 = 7*a - 3*a, 4*a - 3*u - 16 = 0. Calculate the remainder when 263 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 885 - -42. Let r = q - 926.91596. Round r to three decimal places.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9356103401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 57\/2 of a microgram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 255062 + -5?\nAnswer: 255054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from shfea?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1034503, 1034508, 1034525, 1034560, 1034619, 1034708?\nAnswer: 1034833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -62*l**2 + 7. Let g(y) = 93*y**2 - 11. Let n(p) = -5*g(p) - 8*o(p). List the prime factors of n(-1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a tonne in kilograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -127 divided by -4372\nAnswer: 127\/4372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + k = -3, -k - k - 6 = -h. Suppose -u - 3*u + 16 = h. Let v(i) = -i**2 + 5*i + 4. What is v(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (246\/140 - 66\/77) + 3\/(-5). Let b(v) be the third derivative of 0*v - 5\/6*v**4 + 0 - u*v**6 - 7*v**2 + 4\/3*v**3 - 16\/15*v**5. Factor b(f).\nAnswer: -4*(f + 1)**2*(9*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 8*r**2 + 2*r - 10. Suppose -5 = 2*b + 9. Is i(b) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99069 is divided by 1708.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 16. Suppose 24 = l*z - 0*z. Let d = 6 + -4. Solve -d*g = g - z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305 < 4303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-6))\/u*u*((u\/u**7*u)\/u*u)\/u)\/((u*u**(3\/11))\/u**(-3)))\/((u*u*(u**(2\/15)*u)\/u)\/(u\/u**(2\/5)))**(1\/5) assuming u is positive.\nAnswer: u**(-12853\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 294476?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 24123, -63 in descending order.\nAnswer: 24123, 1, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2177040037?\nAnswer: 2177040037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2402*d**3 - 28*d - 2418*d**3 - 3 - 25 - 28*d**2. Let t(r) = 3*r**3 + 5*r**2 + 5*r + 5. Suppose -2*g - 6*g = -224. Calculate g*t(i) + 5*x(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from dndydyndnq.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 + -104. Let h = 74 + u. Suppose 0*i = 3*i - h. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -l - 42. Let f = -61 + l. What is the remainder when 25 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h = -6*h + 11*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4148144 divided by 14014\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50471919*p**5 + 2103*p + 3161 wrt p?\nAnswer: -1009438380*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/((-210)\/12) + 606\/14. Suppose -38*m + d*m - 870 = 0. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfrfrrrrrafraf. Give prob of picking 1 a and 2 f.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 13106*f - 26224*f - 54*f**2 + 13115*f in the form w*f + v*f**2 + y and give v.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 727 - 730. Sort -2, 18, s, 6 in increasing order.\nAnswer: s, -2, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 - -103. Suppose u*w + 63 = 22*w. Solve 2*m - 9 = -2*b - 3, -4*m + w = -5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -6. Let j = -105.5 - -125. Let y = c + j. Round y to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/3 + 30413502*j - 693735827928003 = 0 for j.\nAnswer: 45620253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 244 (c) 391 (d) -0.3 (e) -2\/9 (f) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3186 (base 13) to base 8\nAnswer: 15326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + (3*sqrt(117)*1 - sqrt(117)))*5)\/(sqrt(18)\/(sqrt(12)\/(-4*sqrt(6)))).\nAnswer: -15*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/12 + ((-134)\/(-4))\/1. Let t = 15 + p. Suppose -31*b + t = -25*b. Solve -9*y + 5*y = b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 94232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -8*y + 462. Let s = y + -10. Calculate the highest common divisor of s and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 1790, 6182, 14732, 28820, 49826, 79130, 118112?\nAnswer: 168152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2888*w + 1723*w + 1987*w + 3024*w.\nAnswer: 3846*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, m: 4, k: 1, i: 1, o: 1}. Give prob of sequence kitm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4757*q + 38 - q**3 + 9516*q - 4757*q wrt q?\nAnswer: -3*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-2)*24\/(-27). Let y(l) be the second derivative of 0 + 0*l**3 + 4*l + 1\/20*l**5 - 1\/4*l**o + 0*l**2. What is the third derivative of y(d) wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020336 to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 240.75751 and 5673921.\nAnswer: 5674161.75751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 3*z - 76, 0 = -148*p + 143*p + 10*z + 120 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 133899182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 4*o - 4*o + (1 + 0 + 0)*(-2*o - 2 + 2))*(-3 + 3 - 2)*(2 + 5 - 3) to the form x*o + m and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 163078, 163145, 163212, 163279, 163346?\n\"Answer: 67*v + 163011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85325347.\nAnswer: 4729, 18043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**3*l*v*y**2 - 5*d**3*y**2 + d**3 - 2*d**2*l + 4*d**2*v*y**2 + d**2*y + 5*d*l*v*y**2 - 2*l*v*y**2 wrt d?\nAnswer: 6*l*v*y**2 - 30*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = 4*q, 3*q = 4*r + 50. Which is the closest to -1? (a) r (b) -0.5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50419404 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3077*i + 27735 + 1801 = 615*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 - 70*y - 44*y - 2*y**3 + 114*y.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9430, -9430, -9406, -9346, -9238, -9070, -8830?\nAnswer: -8506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273080563?\nAnswer: 7, 39011509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2436580 and 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*p - 37*p - 30*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 minutes before 4:43 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2010120 + 12342?\nAnswer: 2023012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 24\/(-18))*(3 + -546). Let h = 726 + y. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 539*f - 126. Let q(j) = 4851*j - 1133. Let l(y) = 44*k(y) - 5*q(y). Let u(s) = 9*s - 2. Determine 2*l(r) + 121*u(r).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -140336 (base 13) to base 3\nAnswer: -220200210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.14 + -0.14. Which is smaller: 0.7 or s?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 413 - -50513133?\nAnswer: 50513550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 12 = -3*d + 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 9:48 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h = -38*h + 575. Let d be h\/35 - 3 - (-2)\/(-7). Suppose -4*p + d*p - 3356 = -4*v, 16 = 4*p. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x. Suppose -5*d + 3*s + 2*s = -340, 0 = 5*s - 5. Let o(i) = d*i - 5 - 26*i - 30*i. What is p(o(f))?\nAnswer: 26*f - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8411201399 + -326.\nAnswer: -8411201725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1787804221 to the nearest integer?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(165)\/sqrt(5)*-3)\/(sqrt(11) + 5*sqrt(11)*2 + sqrt(11) + sqrt(11)))**2.\nAnswer: 108\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 15) + (20 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -46. Let o = 56 + -52. Calculate the lowest common multiple of n and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5370311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/13))**31*n**45*n\/(n**(-30)\/n))**(-13) assuming n is positive.\nAnswer: n**(-970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 5*i**2 - 7*i + 9. Let m be z(6). Suppose -u = -31*u - 1260. Find the common denominator of -133\/18 and (-207)\/u + m + 6\/(-21).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -166, -4, -5, -2738 in descending order.\nAnswer: 0, -4, -5, -166, -2738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 173? (a) -0.142 (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (9 - (-5 + 10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 500582 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-645)\/9)\/1*(-333)\/(-555)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/31 in 10, -44\/13, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -59*r**4\/4 + 91*r**3\/3 - 3*r**2. What is the first derivative of o(j) wrt j?\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101012012102111 (base 3) to base 13.\nAnswer: -11786c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 937873*j**2 - 7*j - 43735.\nAnswer: 1875746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2288\/(-858) + (2\/3 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10063?\nAnswer: 29, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15, 1, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 73 - 71 + f + 2*f. Give z(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 3*u + 5. Let d be y(-6). Let p(m) = 27*m**2 - 9*m + 14. Let x be p(3). What is the highest common divisor of d and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256\/4992 + (-1010)\/(-78).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -627?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64172 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 0)\/((-4)\/(3 - 15)). Find the common denominator of (-24)\/k - (-34)\/(-63) and -13\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(576) + sqrt(576) - -1*-1*sqrt(576))\/(-2*-2*sqrt(800)*-6).\nAnswer: 3*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 740066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -0.1. Let a(t) = t**2 - 7*t + 8. Let n be a(9). Let k be (-6)\/n*6\/9. Sort u, -3, k in increasing order.\nAnswer: -3, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75731892?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -398.1 + 398. Let r = -0.1 + 1.1. Which is the closest to 1? (a) -1\/4 (b) r (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-6) + (-1 - 0)*(-6 - 63655) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10105484 divided by 1.\nAnswer: 10105484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**3*k)\/(k**6\/k)*(k**1)**(6\/11) assuming k is positive.\nAnswer: k**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 2038*u - 2*u**3 + 1779*u**2 - 1843*u**2 + 4082*u - 2044*u.\nAnswer: 2*u**3 - 64*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*a - 2*b - 3*b, -5*a - 18 = -b. Let w(o) = o**3 + 4*o**2 - 4*o - 5. What are the prime factors of w(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f - 55. Suppose 5*n + 3*k = -81, -11*n + 14*n - 3*k = -39. Let g be j(n). Solve -2*b = -g*b + 5*h + 28, 5*h = -5*b - 20 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.27, 0.5, 1\/4, 8539, -1, 2\/5.\nAnswer: -1, 1\/4, 0.27, 2\/5, 0.5, 8539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 7*q + 1560. Is q at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2064 = 4*k + 2*u, 0*k + k - 4*u + 534 = 0. Let c = -105 - k. Let r(m) = 413*m - c*m - m**2. Let h(z) = -8*z**2. Give h(r(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + b - 200. Let p = 163 - b. Is 21 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - 14*s - 10. Let c be r(-5). Does 4 divide (-2)\/(4\/c)*64\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 1428915?\nAnswer: -1428911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 24 = -4*b - 4*x, -x = 3*b - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -1. Is (j + 3 + 1)*-23 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14121 minus -8.8409?\nAnswer: -14112.1591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**5\/60 + 3*h**3\/2 - 10*h. Let v(k) be the second derivative of o(k). Let y(x) = x**2. Give v(y(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -34 - -17 - 113 - 6.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 215399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 11\/7, 1\/2, 487, -7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.7, 7, -2, 4, -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191*h*r**4 - 3*h*r**2*t + 6*h*r**2 - 2999*r**4*t**2 - 16*r**2*t - 55*r**2 + r*t**2 wrt r?\nAnswer: -4584*h*r - 71976*r*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.9 - -5.9. Is -1\/6 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -91*b + 41. Let f(z) = 94*z - 42. Determine -3*f(d) - 4*v(d).\nAnswer: 82*d - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 3260*j**2 + j - 13746*j**2.\nAnswer: -10486*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 932761.1g in nanograms?\nAnswer: 932761100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 - -82. Suppose h = -h + 26. Let l = h - 1. Solve -c*j - l = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 245245 and 25025.\nAnswer: 1226225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 6.3. Let i = -0.7 + 0.5. What is the second biggest value in i, h, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5535726 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33690619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (4 + sqrt(252) + -3 + sqrt(252) + sqrt(252) + sqrt(252) - sqrt(252)) + 5 + 4)**2.\nAnswer: 1512*sqrt(7) + 7392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 14) in base 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-2)*4\/18)\/(-6)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157397800.\nAnswer: 2, 5, 7, 16061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - 2*x + 2*x + (-2*x**2 + 2*x**2 - 2*x**3)*(-1 - 14 + 1) to the form q*x**3 + l*x**2 + n*x + s and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6305 divided by -1261?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -13*w - 22. Calculate the remainder when b(-6) is divided by 58\/3 - (-4)\/6.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 24 (b) 4 (c) -1\/4 (d) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 - 39 = 92*z - 17 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/20 and 1\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 13 - 9*r + 4614*r**2 + r**3 - 4628*r**2 + 42*r. What is the tens digit of g(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009625 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 3*m - 5*v, 3*m + 4*v + 15 = 87. What is m rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2 - 3*g**2 - g**2 + g - 3*g**2 wrt g?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -6. Let z = 7 - v. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 13*c + 296. What is the tens digit of h(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 + -80. Calculate the highest common factor of g and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 9:40 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2059*g + 6225. Let l be z(-3). What is the highest common divisor of l and 16784?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**5 + 12618*b**4\/5 - 258586*b**3\/5 + 567558*b**2\/5 + 1017476*b\/5 + 178704\/5 = 0?\nAnswer: -1, -1\/5, 4, 18, 1241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4887196337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 7*t**2 + 8*t + 2. Let g be f(-8). Let d = g - -1. Suppose -y + 2 = -3. Calculate the lowest common multiple of y and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y + 854 + 34 = 0. Solve 26*v = 22*v - y for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 0*v**2 + 37 + 7*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1176115838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 10:59 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/19 + 1568*w\/19 + 277560\/19.\nAnswer: 2*(w + 270)*(w + 514)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1820166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -78401200 take away 0.947?\nAnswer: -78401200.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 7.4. Let o = -18.9 - x. Round o to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxsxxssssxsx. Give prob of sequence sxss.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 q, and 1 r when four letters picked without replacement from rllrllrqlqqlq.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6048) - -2*sqrt(6048))\/(sqrt(96)*-6))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5 = a. Let o(q) be the second derivative of -q**4\/12 + q**3\/6 + 23*q**2\/2 + 5*q - 14. Let s(v) be the first derivative of o(v). Calculate s(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 3*a + 0*a)*(-10 + 19 + 8)*(-2 + 2 - 1) - a - 5*a + 3*a - 6*a + a + 3*a - a + 1 - 1 + (0*a + 5*a - 3*a)*(-4 + 1 + 1) as s*a + q and give s.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5950 is divided by 1032?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*v + 17*v - 4*v)*(-37 + 11 - 28 + (-1 + 2 + 0)*(-1 - 2 + 1)) - 17*v + 28*v - 29*v - 41*v to the form x + w*v and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8702643 is divided by 291.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -36592*a**2. Let y(f) = 12*f. Determine y(k(l)).\nAnswer: -439104*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 62 = -0*c. Suppose 0 = -2*z - 2, -2*z - 370 = -m - 3*m. What is the remainder when m is divided by c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 551 + -221. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 73*f**3 - 5*f**2 - 46*f - 63. What is c(-2)?\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-56))\/(104\/(-91)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, s: 2, w: 3, a: 1, v: 3, t: 3}. What is prob of sequence ist?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -50706.48102 to the nearest one hundred.\nAnswer: -50700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + 1333402201?\nAnswer: 1333402214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297147658?\nAnswer: 2, 73, 1499, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 6*x - 7. Let d(m) = m**2 - 6*m - 6. Let q(t) = -7*d(t) + 6*k(t). What is the second derivative of q(b) wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -656090642 take away 0?\nAnswer: -656090642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d3 + 14b?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*g - 382*g - 4*g**2 + 508*g.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 623\/9 + -69. Let n = -3.293 - -2.293. Which is the fourth smallest value? (a) n (b) 0 (c) m (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**2 + 7. Let u(x) be the first derivative of -x**3\/3 - 2. Determine a(u(l)).\nAnswer: -3*l**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -112730755?\nAnswer: -112730750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 12, 3266, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 230, 467, 714, 977, 1262?\n\"Answer: i**3 - i**2 + 233*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 0, -111 in ascending order.\nAnswer: -111, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56882\/5847 or 11?\nAnswer: 56882\/5847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2268.86 - -2235. Let q = -109 - -143. Let y = q + c. Is 0.1 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 7 - 158*l - 1 + (-l + l + l)*(-3 + 4 + 0) in the form s + j*l and give j.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(304) + (sqrt(304) + 0)*5)*4 + 0)**2*4.\nAnswer: -1536*sqrt(19) + 700432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1053) + 0)**2 + 0 - (-4 + (sqrt(1872)*-2)**2 - (((1*(sqrt(1872) + 1) - sqrt(1872))**2 + sqrt(1872) - sqrt(1872)) + sqrt(1872))).\nAnswer: -6435 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*m = 236*m - 158*o + 458, 3*m + 15 = o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2490 + -2492. What is the smallest value in 6, i, 2\/29?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -18 (b) 2\/7 (c) 0 (d) -2\/23 (e) 2\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3\/3 + 29581*g**2\/3 - 39437*g + 29577 = 0.\nAnswer: 1, 3, 29577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 3, -359?\nAnswer: -359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13005019 - -1?\nAnswer: -13005018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**5\/5 - 2*i**4\/3 + 2*i**3\/3 + 4*i**2 - 12*i. Factor v(n).\nAnswer: -4*(n - 1)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2120033 + 1222301?\nAnswer: 10003000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 120 = z + 27, 2*x + 5*z + 87 = 0. Let g be -54*(-8)\/x*-6. Let p = g - 44. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 777, 809, 839, 867, 893?\nAnswer: 917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/279, 0.042, -2\/15?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-15)*6457 - 12\/(-60). Let g = -1510 + u. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/18 - ((3 - -7) + -16)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 76, 54, 8, -74, -204, -394, -656, -1002?\n\"Answer: -2*o**3 - 8*o + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4065506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5857?\nAnswer: 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631 a factor of 8668765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 84*l**2 - 2964*l + 761. Determine m(35).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 1\/15*w**5 + 0*w + 0 + 6*w**2 - 2\/3*w**3 + 0*w**4. What is the derivative of m(l) wrt l?\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/77464 and 51\/161.\nAnswer: 542248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -36. Let g be (-53664)\/(-516) + (-1 + 0 - -14). What is the highest common factor of m and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 - 8*r - 3. Let o be u(-5). Let f be 16048\/o - 2\/7. Suppose f = 4*a - y, 2*y = 2*a - 26 - 44. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11929.\nAnswer: 79, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2260\/(-26555)*(-141)\/1230?\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587*y - 33 = -598*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 979 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: Put -0.2, -5, 275 in decreasing order.\nAnswer: 275, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*s**3 + 4\/3*s**2 + 2\/3*s + 0 = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330025038 and 1576?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -0.02, 5, -5, -0.4 in ascending order.\nAnswer: -5, -0.4, -0.02, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**6*x))\/(x*x**(-1)))**(18\/13)*((x\/x**(1\/4))**45)**(-43) assuming x is positive.\nAnswer: x**(-75897\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11669*l**2\/4 + 4533407*l + 777.\nAnswer: (l + 1554)*(11669*l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdoreeooodrddode. What is prob of sequence de?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 652 = -9*f. Suppose -z + f = z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 625 - 621. What is the closest to -0.3 in c, 3\/2, -5.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37\/6 + -41\/6. What is the nearest to k in 2\/3, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/12)\/(75\/(-90)). Let i = -45.5 - -0.5. Which is the third biggest value? (a) i (b) 2\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b + 3 = 0. Let i = b + -1. Suppose -r = -i*r - 5. Solve 2*d - 6 = 2*x, -r*x + x + 3*d - 9 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -868 - 3?\nAnswer: -872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7099*f**3*z**3 - 19*f**3*z**2 - 194*f**3 wrt z.\nAnswer: 42594*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10077002.\nAnswer: 2, 13, 387577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.9 (b) 0.2 (c) 0.17459 (d) 1\/4 (e) -0.118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -40*v - 36. Let z(y) = -4*y**3 - 2*y + 1. Let p be z(1). What are the prime factors of i(p)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 70098.88 millimeters?\nAnswer: 70098880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 6) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 15*q = 12*q - 330, 6*p - 5*q - 659 = 0. Calculate the highest common factor of 5123 and p.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t + 6*t - 6*t + 0*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42017506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256520 and 660?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 0.1, 12, 3\/2, 2\/7, -514?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnn. Give prob of sequence nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3942 (b) -2 (c) -5 (d) -4\/5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08768 or -0.029?\nAnswer: -0.08768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adtt when four letters picked without replacement from taaaatadtxdaaadaata.\nAnswer: 11\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/6 - 1177201*o**3\/6 - 196202*o**2 + 5886014*o\/3 - 4708808\/3 = 0.\nAnswer: -4, 1, 2, 1177202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, -28, -1\/7, -72, 3\/4 in ascending order.\nAnswer: -72, -28, -1\/7, 3\/4, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 738438 to the power of 1\/2, to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - 18*b - 274. Determine z(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from zgzsblx?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*z + 21*z - 35*z - 1 + (3 + 3 - 2)*(-3*z - 2*z + 6*z) to g + j*z and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Suppose o - 6*o = d. Solve o = -n - 1 + 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 321358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63960 = 82*l - 394*l. Calculate the greatest common factor of 656 and l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-5)*-5 - (-3 + -17).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01+12825\nAnswer: 12824.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) -3 (c) 0.4 (d) -5 (e) -0.29 (f) 39 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 2*w**2 - 16. Let f(k) = -10*k. Calculate r(f(s)).\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*w - 614 - 688 = -123*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11191 (base 10) to base 2.\nAnswer: -10101110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34410 - -1cc?\nAnswer: 345dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12*(20\/(-8) - -3). Let l be y*-5*(-2 + 7). What is the greatest common divisor of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = s + 35, 0*s = c - 2*s - 7. Suppose 4*t = 33 + c. Let a be 2\/8 + 2\/(-8). Solve -4*p - 2*w + t = a, -p + 8 = 2*p + 2*w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 910 and 5265?\nAnswer: 73710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*h - h - 8 = 0, 16 = -3*j - 2*h. Let n be (2\/3)\/((-4)\/48). Let z = 7 + n. Put 4, j, z in increasing order.\nAnswer: j, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 111010010001100000?\nAnswer: -111010010001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**6\/18 + q**4\/2 - 8*q**3\/9 + q**2\/2 - 11. Factor v(h).\nAnswer: -h*(h - 1)**3*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -660.59 and -31?\nAnswer: 20478.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**2\/2 + 5195*j + 93105\/2 = 0.\nAnswer: -2069, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 186 = 299. What is the remainder when g is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -52\/43 (b) -8 (c) 180\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p. Suppose 30 = 11*w - 3. Suppose 5*q = -15, 4*v - 2*q + w*q - 1 = p. Which is smaller: v or 7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (115\/5)\/92*4*21.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bprm when four letters picked without replacement from mhbhmbpmhmmmbrph?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b. Let a(p) = 8*p - 3*p - 4*p. Let k(f) = f**2 + 6*f + 9. Let c be k(-5). Let z be c\/(-6) - 85\/(-15). Determine z*a(o) + d(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 3*o + 340 = 0. 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: What is the cube root of 79713643 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33117, -66231, -99347, -132465, -165585?\n\"Answer: -q**2 - 33111*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4302*s. Let a(d) = -37*d**2. Give p(a(i)).\nAnswer: -159174*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7655*d - 4*d**2 + 8*d**2 + 7685*d to the form w*d**2 + n*d + r and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2458 is divided by 94.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elwl when four letters picked without replacement from llreweewrrerwwe?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**4 - 3. Let u(s) = -1. Let c(z) = -f(z) + 3*u(z). Factor c(w).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 911*p**2 + 851*p wrt p.\nAnswer: 1822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*g + 3 = 0, x - 5*g - 16 = -2*x. Let h = 9.574 - 9.6. Let l = h - -0.326. Which is the closest to 0? (a) -0.5 (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 + 3968*f**2\/9 + 1907258*f\/9 - 20280980\/3.\nAnswer: 2*(f - 30)*(f + 1007)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p + 4*p - p)*(2601*p - 565*p**3 - 2601*p + (-p - p + p)*(-p**2 + 2 - 2)) + p**4 + 2*p**4 + 0*p**4)*(0 + 3 - 1)*(0 + 2 + 0).\nAnswer: -9012*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*w**5 - 43*w**5 - 276*w**5 + (-4*w**4 + 6*w**4 - w**4)*(-w - 3*w + 6*w).\nAnswer: -342*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -1\/5*p + 1\/5*p**2 - 5 - 1\/15*p**3. Factor c(f).\nAnswer: -(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**7\/42 + m**5\/4 + 5*m**4\/12 - 8*m**2. Factor f(u).\nAnswer: -5*u*(u - 2)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 108\/55)*5. Let z = -1032917\/156 - -26515\/4. Let y = -22\/3 + z. What is the third smallest value in 2, y, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x = 56. Suppose -4*t + 34 = -22. Calculate the greatest common divisor of x and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 106*g - 136. Let p be 14*4\/7*2\/(-4). Let f(b) = -106*b + 132. Let y(n) = p*f(n) - 3*s(n). Differentiate y(w) with respect to w.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 r when four letters picked without replacement from rrwwrrfrrrrrrffrr?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2186\/(-4)*(-8)\/4. Suppose 12499 = 6*v + r. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p - 39. What is the remainder when 103 is divided by d(-10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13\/2 + (-195)\/78. Let c(r) = -4*r + 3*r**2 + a*r + 3*r - 2*r + r - 1. Give c(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20853*b**3*s**3 + 4*b*s**3 + s**3 + 5*s**2 - 97 wrt b.\nAnswer: -125118*b*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 15*s**2 - 13*s - 11. Let b be z(14). Suppose 8 = d + b*d. Factor -4*p + 4 - p**d - 2*p + p**3 - 2*p + 4*p.\nAnswer: (p - 2)*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 324*g**2*x**2 - 2121*g*x**3 - 3155372*x**3 with respect to g.\nAnswer: 648*g*x**2 - 2121*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/7, -5\/11, -13\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*h - 326 + 326)*(203*h + 211*h - 346*h) to the form n*h + d + p*h**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/36 and -143\/22435164.\nAnswer: 22435164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 15 = 10. Let t(y) = -y**2 - 4*y + 4. Give t(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 10. List the prime factors of 4\/(-24) - u\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 142 = 271*v - 266*v, -82 + 34 = -4*q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-62 + 58*n - 59 + 119)*(-3 + 2 + 2) in the form k + x*n and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14663898?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(200)*-2 + 1 - (sqrt(200) + -2 + sqrt(200) + -2 - (3 + -1*sqrt(200))))**2.\nAnswer: -700*sqrt(2) + 5049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1086*p + 3262. Give i(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 527 = 235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (2 - -3)) + -1 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) -0.2 (b) 0.2 (c) -2\/271 (d) -0.4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 6181554?\nAnswer: 5\/2060518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.5, -28, -1\/4.\nAnswer: -28, -5, -0.5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/2, 17\/6, 3\/2, 1\/4, -9\/4, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 995946 and 2519328.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 874 - 1045?\nAnswer: -4a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5102 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -29408.53 rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 10722392\nAnswer: 321671.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3126201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -56*y - 87. Calculate t(2).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 7:24 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 2*p + 3. Suppose -3*i + k - 10 = 0, 0*i + 7 = -i + 4*k. Calculate v(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, 0.0336, 12\/7?\nAnswer: 0.0336","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31513 + -424?\nAnswer: -32240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 269449.93 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*g = 4059, -2*g + 3039 = -4*t + t. Let b = -10043\/10 - t. Calculate the common denominator of 89\/16 and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - o**2 - 5*o - 1. Let g(f) = -f**3 - f**2 - 4*f - 1. Let l(i) = 3*g(i) - 2*w(i). Let a be l(-1). Suppose -r + 20 = -a. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1964264 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 30*c. Suppose 0*s - 5*v + 5 = -5*s, 2 = 2*s - v. Let z be u(s). What is the highest common factor of z and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 491940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -4 + 3 + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3281 - 0.1?\nAnswer: -3281.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/7 - 4727*i**2\/7 - i\/7 + 4727\/7.\nAnswer: (i - 4727)*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1240, 1\/3, -7 in decreasing order.\nAnswer: 1\/3, -7, -1240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/17 at least as big as -0.743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c02 (base 13) in base 4?\nAnswer: 3023113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 263982877?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 5*y = -6, 10*x - 8*x - 7*y = 28*x + 52 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2092806?\nAnswer: 2, 3, 233, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.2, 1, -0.3?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 917086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/3)*g)\/g**(-5) assuming g is positive.\nAnswer: g**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3410\/8184)\/(3\/(-12)*6\/2)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 + 2*d + 3 + (-2 + 2 - 2)*(-2 + 2 - d) + d - 4 + 4 + (0*d + 2*d + 0*d)*(0 - 1 - 1).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*h + 547, 2*g - 213 = -4*h - h. Let z = -103197 - -103225. What is the remainder when g is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2524297 is divided by 671.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from {o: 1, h: 2, d: 3, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**5 + 6*b**4 - 6*b**3 + 2*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1656 is divided by 210?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/4092 and 33\/8.\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -201375747*n**5 + 2013364206*n**4 - 4224958239*n**3 - 8256624*n**2 - 4032*n = 0.\nAnswer: -8\/8193, 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 11:03 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185435732.\nAnswer: 2, 2221, 20873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 24, -32*n = -4*x - 27*n + 5118. Is 33 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 13470263?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 18 = -16 + 8, 4*q - 2*k = 3*k - 27 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + -36 + -41 + 190.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 12 - 48 = 0. Does 10 divide (-6)\/i + 87\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 3 - (-47 + 49)) + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 5*g**2 - 13*g - 42. Let s be k(-5). What is the second biggest value in s, -0.07, -1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -4*y + p, -3*p + 5 = 4*y - 58. Suppose -5*a = -m - 19, 4*a - 2 = 2*m + y. Solve -s - s = -a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-117))\/((-6)\/(-26)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2, 11, -1.7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 j when three letters picked without replacement from {j: 3, a: 2, w: 10}?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 46869072.68 rounded to the nearest one hundred thousand?\nAnswer: 46900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0 + 0 + (-1 + 1 - 2*l)*(-4 + 4 - 4))*(-5*l + 3*l + 3*l)*(2 - 2 - 3)*((2*l - 5*l + 10*l)*(0 - 1 - 1) - 2*l + 2*l - l).\nAnswer: 315*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -65439521.\nAnswer: -2\/65439521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - d**2 + d + 1. Let o be m(2). Let z(r) = -138*r - 16 - 145*r - 137*r + 416*r + 15*r**2. Is z(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137387520 by 6.\nAnswer: -22897920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 5. Let q be -15 - (-5 - (-2)\/y). List the prime factors of 138\/5 + q\/20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 38 = 5*j - 0*j, -3*j + b + 14 = 0. Suppose 4*c - o = 27, 2*c + 32 = j*c + 4*o. Solve 0 = -2*t - 1 - c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.01 - -5.01. Sort o, -29, 1\/4, -3\/4.\nAnswer: -29, -3\/4, o, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 233.\nAnswer: 4\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*q - 246, 0 = -x + 3*x + 3*q + 129. Let o = -22 - x. Suppose w - o - 88 = 0. Round w to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4243 divided by -798?\nAnswer: 4243\/798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-278*v**2 + 2 + 150*v**2 + 122*v**2 - 9*v)*(2 - 4 + 1) in the form r*v + o*v**2 + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 w, and 1 k when three letters picked without replacement from {r: 9, w: 6, k: 4}.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*m**3 + 71*m**3 - 133*m - 163*m**2 + 96*m - 155*m + 372 - 20*m**2 = 0. Calculate m.\nAnswer: -2, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + g + 10 = 3*g, -2*a = 3*g + 25. Let r(z) = z**2 + 4*z + 2. Let t be r(a). Solve -5*y + t + 6 = -3*q, -5*q + 5*y = 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 6 - 18. Let d = 3 + -2.9. Which is the third biggest value? (a) -0.1 (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2450656726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q = 5*f + 5, 4 = -4*f + 3*q. Let g = -64.8 - -65. Let m = 0.5 - 0.1. What is the nearest to f in m, -2\/9, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*8.2.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -385, -1165, -2465, -4285?\n\"Answer: -260*a**2 - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 28*g**2. Let b(z) = -4*z**2 + 698*z. Determine b(u(m)).\nAnswer: -3136*m**4 + 19544*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -29388 (base 11) in base 9?\nAnswer: -63205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 4459389 and 1798548.\nAnswer: 6257937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 594 + -563. Let b(a) = 27*a + 4. Let v be b(5). Let s = 260 - v. Calculate the remainder when s is divided by u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/14 - (-4)\/14. Suppose 2*b + l - 671 = -4*l, 4*b - 5*l - 1267 = 0. Let d = b + -323. Is n > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7 + (-260)\/(-1547)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 209 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**2. Let q(i) = -26*i. What is q(f(w))?\nAnswer: 104*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -5) + 3 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}