diff --git "a/data/dm_maths/full_data_1/10703_11255.jsonl" "b/data/dm_maths/full_data_1/10703_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10703_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let c = 4790 + -4793.989. Let l = c - -24.819. Let q = l - 21. What is q rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(10) - sqrt(10)*-2))**2 + (sqrt(80))**2*4.\nAnswer: 2885\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/16 and 61\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.64 to the nearest integer.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1191 (base 11) to base 7\nAnswer: 4345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 32 = 2*p, p = 5*f + 6*p - 70. Let z = -6 + f. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45.0816 decades?\nAnswer: 450.816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 27, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -55*c**3 - 2*c**2 + 2*c - 1. Calculate n(1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27379589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - ((-18 - 5) + 31)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/3243 + 11152\/11891. Let n = h - 3\/11. What is t in 0 + 2\/3*t - n*t**3 + 0*t**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*i = -14, 0 = -5*l + 13*i - 12*i + 20. Solve 0 = q, -5*k + 7*k + l*q = 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1175, 4351, 9645, 17057?\nAnswer: 26587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1190*s**3 + 5*s**2 + 5*s + 1205. Let v(c) = -c**2 - c - 8. Let x(m) = 5*v(m) + w(m). What is the first derivative of x(o) wrt o?\nAnswer: 3570*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 18 + 15*g**4)*(4*g - 3*g + 0*g) - 9*g**5 + 0*g**5 + 14*g**5.\nAnswer: 20*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*s**2 + 102*s**4 - 185*s**4 + 25*s**2 - 94*s**3 + 24*s + 97*s**4.\nAnswer: 2*s*(s - 6)*(s - 1)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = l - 11*x - 844, 904 = l + 19*x. What is the greatest common factor of 1196 and l?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**5 - 183707*d**4 + 2*d**2 + 2*d + 171597944?\nAnswer: -20*d**3 - 2204484*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 12. Solve -a*z - 16 = 3*t, 3*z + 3 + 9 = t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-918)\/102*(-8)\/54*6\/(-28).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (6 - 4 - -1) + (8 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1035255*x**3 - 658371*x**3 - 4314440*x**3.\nAnswer: -6008066*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*d + 17 - 600 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*i**3 + 10*i**3 + 6*i**3 + 0 + i**3 - 4*i**2 - 1 + 46*i as v*i**2 + w*i**3 + l*i + y and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) 0.5 (b) 32 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 41. Suppose 5*a - 280 = -0*a. What is the highest common divisor of x and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -27*v + 0 + 5 - 5. Let w(q) = q**2 - q + 1. Let k(u) = -8*u**2 + 9*u - 9. Let z(f) = -2*k(f) - 18*w(f). Calculate o(z(j)).\nAnswer: 54*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyjyyyjjjujjyjju. What is prob of sequence jjuj?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 224112983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5930.\nAnswer: 2, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02824254795 to five decimal places.\nAnswer: 0.02824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*n = 24, -2*n + 35 = -5*q + 107. Calculate the remainder when q is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 88385 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -398395 times 1\nAnswer: -398395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 384\/93047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -13*m**2 - 16. Let q(a) = -7*a**2 - 8. Let w(u) = 4*d(u) - 7*q(u). What is the derivative of w(k) wrt k?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -j - 4*i, -i = -4*j - 28*i + 43 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j - 3. Let o = -145 + 145. Suppose -x + o*x - 32 = -4*h, -15 = -h + 2*x. Give k(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*k = -2, -5*k + k - 8 = -2*a. What is the third derivative of -33*r**3 - 88*r**a - 32*r**2 - 33*r**3 - 7*r**2 wrt r?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = 1. Let a(z) = 2*z**2 - 3*z + 3. Is a(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-1)\/((-9)\/6). Suppose -4 = -i - g. Suppose -i*z = -0*z - 192. Calculate the greatest common factor of z and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*v = 430, 5*v + 8 = -17. Let n(r) = -r**3 - 4*r**2 + 16*r + 3. Let u be n(-7). Suppose 41*i = u*i + g. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 188 - 198. Solve -3*w + 5*s - 4 = 0, -b*w + 2*s - 10 = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.2 (c) -218 (d) -4\/7 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 1566533?\nAnswer: -17231863","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 228 - 223. Calculate the highest common factor of w and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42.8 - 76. Let q = d + 31.73. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81 + -78 - (-1 + 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2858 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d. Let p(m) = 4464*m. What is p(j(q))?\nAnswer: 4464*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 335513?\nAnswer: -335509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 170 + -214. Let z = 0 - u. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9949390*q. Let k(m) = -9*m**2. Calculate c(k(i)).\nAnswer: -89544510*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + x = -4886587, 2*u + 24*x = 35*x - 3257643. Round u to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (36 - 32 - (26 + -1)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2613863 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28102 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 36\/133, -131, 0.4, 2, -5 in descending order.\nAnswer: 2, 0.4, 36\/133, -3, -5, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60 - -67)\/(156\/(-60) + (-2332)\/(-870))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 23, -12, -3, 0, -2 in increasing order.\nAnswer: -12, -3, -2, -1, 0, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(190)*-2)\/((sqrt(80)*-2)\/sqrt(8)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 847 = 24*w + 53*w. Calculate the remainder when w is divided by 74\/10 + -7 + 106\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000220248684 rounded to 7 decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13290.082413 + -28\nAnswer: 13262.082413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - 0 - (0 + -24). Suppose 9*a - 5*a = 28. Solve b = 4*b + f + a, f - w = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -51*p - 5. Let r be g(-3). Suppose 7*o + r = 11*o. Suppose s - 4*x = o, -129 = s - 3*s - 3*x. What are the prime factors of s?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*a + 0*x - 3*x = 648*a - x - 2812, 1 = x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1118, -2170, -3114, -3896, -4462?\n\"Answer: 9*y**3 - 1115*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 322 - 239. Is q at most as big as 82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 + 94. Let h(q) = -3*q - 4. What is the remainder when h(-9) is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2897 + 184*y + 2897)*((-y + y - 3*y)*(3 - 3 - 2*y**2) + 5*y**3 - 3*y**3 + y**3) to s + n*y**2 + a*y**3 + q*y**4 + u*y and give q.\nAnswer: 1656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 8*d**2 - 7*d**3 + 6*d**2.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67 or 0.793945?\nAnswer: 0.793945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 4*o**2 + 5*o - 4. Let k be q(3). Suppose -147 - 49 = -7*s. Suppose s*y - 27*y = 3. Solve 9*w - 5*j = 4*w + 20, -y*w = -j - k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131b1 (base 12) in base 9?\nAnswer: -38837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 2*o - 2. Let c(h) = -9 + h**2 - 5*h**2 + 12*h - 3*h - h**2. Suppose 4*i = -5*g + 29, 2*g = 3*g + 4*i + 7. Determine g*y(q) - 2*c(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -76, -176, -266, -340, -392?\n\"Answer: h**3 - h**2 - 104*h + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74094?\nAnswer: 2, 3, 53, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*b + 5*i - 77, 2*b + 2*i + 36 = 0 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 505 + -506. Let v(x) = -2*x - 1. Give v(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -185866*o + 371690. What is d(2)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1377))*4)**2 - (sqrt(1377) + 0)**2*-6 - ((sqrt(17) + sqrt(204)\/(sqrt(12)*-1) - 2*(sqrt(17) + 0)) + -3).\nAnswer: 578*sqrt(17) + 30361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -49*f + 14. Let g(q) = 15*q - 4. Let m(t) = -7*g(t) - 2*p(t). Let l(v) = 21*v. Give l(m(k)).\nAnswer: -147*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. What is o(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1514945911662.6 - -0.069.\nAnswer: 1514945911662.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8970198*x**3 - 93214*x**2 - 11?\nAnswer: 53821188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/66 and 91\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -3 - -1) + 5 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4867 * -218\nAnswer: -1061006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (5 + -14 - -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -483944, -1935784, -4355514, -7743134, -12098644?\nAnswer: -17422044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -16*c + 534. What is h(31)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3865\/7, -1, 0, 3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 297\/(-165) - 2358\/(-1360) and 67\/18.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14859032 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - -1110000100?\nAnswer: 1110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.1 and 516996 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 4*n - b - 4, 20*n + 5*b + 25 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2\/7 - 3044*z\/7 + 3040\/7.\nAnswer: 4*(z - 760)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3625*q - 6964*q + 3708*q.\nAnswer: 369*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 315?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114033, -114174, -114319, -114468, -114621, -114778?\nAnswer: -114939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1233991 <= -1233991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -20)\/(-22 + (-583)\/(-22))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 65, 205, 437, 761, 1177, 1685, 2285?\n\"Answer: 46*t**2 + 2*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - 1) + (-107)\/(-85) and 1817\/92*-2 - 8.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11737 by 97.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -0.381 (c) -3 (d) 15 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.47283 + -543.\nAnswer: -523.52717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8230 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 674 - 414. Does 20 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (2 + -3) - (-42 - -33)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1813*t**3 + 39*t**2 + 3623*t**3 - 1814*t**3 in the form r*t**3 + k + c*t + w*t**2 and give w.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 830579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-3675)\/(-14))\/35).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -175976.\nAnswer: -175971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - 1.0999993. Round y to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1212 is divided by 40.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1746 is divided by 171.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 16 = -4*h + 3*p, -5*p = 20. Suppose -26 - h = -7*s. Suppose s*q = 9*q - 60. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqwgf. What is prob of sequence vg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 - 6184*j + 49290. Calculate g(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 - 44. Is (-37956)\/(-8)*22\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 5*r + 6*y, -2*r + 15875*y + 42 = 15878*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + 0 + -4 + (-11 + 6 - 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 0*z**2 + 0*z - 22\/5*z**5 + 4\/3*z**3 - 9\/2*z**4 - 2. Factor g(l).\nAnswer: -2*l**2*(l + 1)*(11*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-14) + 48\/28 - -147. Is 148 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 788 - 16544\/21. Let j = t - 6\/7. Which is the second smallest value? (a) j (b) -1\/3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262, -205, 476, 2087, 4934, 9323?\nAnswer: 15560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 32 = -4*n, 0*n + 4*n - 5*z = 32. Calculate the least common multiple of n and 8\/(-6)*54\/(-4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 2046 = 17*y. What is the highest common divisor of 22 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 717 - 222. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38035768 divided by 5777?\nAnswer: 6584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 244485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1599*u**3 + 1610*u**3 + 1597*u**3 + 1608*u**3 + 1602*u**3 - 8038*u**3.\nAnswer: -22*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 - 54 - 2*s - 9 + 9 as p + c*s and give p.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 + -3 - (-13 - -6 - -5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15266556.\nAnswer: 2, 3, 47119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - x - 16 = 0, -5*c - x + 28 - 12 = 0. Let y be (-47)\/(-9) + c\/(-18). Suppose -m + 40 - 58 = -3*q, 0 = -5*q - 3*m + 30. Sort y, q, -5.\nAnswer: -5, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -300 by 20.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 1\/5, 64, -4, 1 in ascending order.\nAnswer: -4, -4\/7, 1\/5, 1, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 307313295 to the power of 1\/3, to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - 2*x + 3*x + (1 + x - 1)*(3 - 5 + 0) + 2*x - 5*x + 5*x + 10*x + 2*x + 0*x + 2*x + 2*x - 7*x + (3 - 4 + 0)*(-x + 3*x - x) to b*x + n and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -69*z + 143. Is p(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2 + y - 1. Let z be l(1). Suppose 3*i - z = 4. Differentiate 10 - 4*q**3 - q**i - 8 with respect to q.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 n, and 1 v when four letters picked without replacement from {n: 2, r: 3, o: 5, v: 1, j: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -132851594 * -0.07.\nAnswer: 9299611.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 2, 173.\nAnswer: -3, 2, 3, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:33 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 + 3 + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3)\/(o\/o**11*o))**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90308 by -422.\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 12:31 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 32 = 4*r. Suppose -u + 0 = -4, 0 = -q + 5*u - r. Suppose 0 = -0*o + 4*o - 20. Calculate the least common multiple of q and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.7? (a) 2\/7 (b) 8 (c) -0.022 (d) 0.1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1878?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1542 + -1564. Is -31 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*g = -147*g + 99. Is (g\/(-4))\/((-29)\/(-116)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.34 - 0.24. Let i = -0.8 - -5.8. What is the nearest to v in -4, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8446 + 38?\nAnswer: 8483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(5) + 2*sqrt(5) + sqrt(5) + -5 + sqrt(5)) - (sqrt(45)\/(-1*sqrt(9)) + 2*sqrt(720)))**2 + -4.\nAnswer: -3180*sqrt(5) + 14941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 91197927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5184021351488 less than -0.05?\nAnswer: -5184021351488.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5223 plus -30049324?\nAnswer: -30054547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11087 - -11087. Solve v = 4*m - 12, 3*d + 4 = d + 2*m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from {d: 1, q: 1, h: 1, n: 1, k: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 96527.545 to the nearest 100.\nAnswer: 96500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 228084536?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6 = 18*b - 23*b, 5*b = 15. Suppose 20*t + y*t - 108 = 0. What is the remainder when 8 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-17848)\/(-138) + 4\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*k - 4*k + 26*k)*(2*k**2 + k**2 - 2*k**2) + 4*k**3 - 6*k**3 + 3*k**3 to x*k**2 + p + s*k**3 + l*k and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 4, 0.2, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -37*w**4\/24 - w**2. Suppose -5*s = 2*c - 0*c - 19, 2*s = -3*c + 12. Let x(f) = -2*f**c - 6584 + 6584. What is h(x(p))?\nAnswer: 74*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from {x: 5, n: 7}?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 17)*(-2*c + 4*c + c)*(363 + 40*c**3 - 363)*(c - 3*c + 0*c).\nAnswer: 2640*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 249\/(-9) + 6\/(-18). Let v be (c - 4)\/(-4) + 2. Suppose -v*t + 8*t + 8 = 0. Solve -3*b - 1 + 0 = t*o, -7 = 3*o - 4*b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25301 (base 7) to base 2.\nAnswer: -1101000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1520 divided by 19.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2324535220?\nAnswer: 2, 5, 7, 641, 25903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -211 - 278 - 34*j + 474 - 177 + j to the form c*j + i and give c.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.253 - -0.053. Sort m, 0, -0.4 in increasing order.\nAnswer: -0.4, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.17 in 0, -1\/9, 2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**11)\/((m*m\/m**(-17)*m)\/m) assuming m is positive.\nAnswer: m**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 - 9*y**2 - 63*y + 632. Calculate k(-7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(78)\/((sqrt(66)\/sqrt(11) + sqrt(6))*4) - (2 + (-4*sqrt(325) + -4 + sqrt(325))**2).\nAnswer: -2943 - 963*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 2*o - 1. Let w(k) = 3*k**2 - k + 11. Calculate -4*u(a) - w(a).\nAnswer: a**2 - 7*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxrrxrroddxxsdds. Give prob of picking 1 r, 1 x, and 1 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -126, 0.5, 2, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -557.0000043 - -557. What is h rounded to seven decimal places?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**2 + 7*b + 17. Let z(t) = 5*t**2 + 7*t + 19. Let f(g) = -4*y(g) + 3*z(g). Give f(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+180\nAnswer: 179.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d. Let y(r) = -7*r - 1. Suppose -3*c - 2*s = 4, 2*s - 25 = c - 21. Suppose -22 = -4*w - 2. Determine c*y(g) + w*x(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4151?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39400 and -2.\nAnswer: -78800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(-3)\/24*2. Let l(u) = 32*u**3 + u**2 - u. Give l(r).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 5549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 43 (b) 1\/4 (c) -1 (d) 7631\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8220*s. Let h(i) = -4*i**2 + 49*i + 5. Give v(h(b)).\nAnswer: 32880*b**2 - 402780*b - 41100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*r - 5, -4*l - 2*r = -20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18618 + 15*r + 3354 + 10*r**3 - 15*r.\nAnswer: 10*r**3 - 15264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49877367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 7. Suppose 6*i + 4 = -u + i, 26 = r*u + 2*i. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(270))\/sqrt(10) + -5*(sqrt(147)*-5)**2.\nAnswer: -18375 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/(((-23760)\/(-1120))\/(-27))?\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (7*3\/42)\/((-3)\/(-42))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - -31 - (8 + (-29 - 5)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -54226, -4, -5 in increasing order.\nAnswer: -54226, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h. Let p(k) = k - 1. Let s be p(2). Let b be s*(2 + 1 - -2). Let r(d) = 3*d. Let t(o) = b*r(o) - 7*m(o). Let v(w) = -3*w. Give v(t(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p - 5*p)*(-5*p**4 + 4*p**4 + 3*p**4) + 5*p**5 - 9*p**4 + 9*p**4 - 496854*p**2 - 94*p**5 + 496854*p**2.\nAnswer: -93*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 2*o**2 - 4. Let u be n(-3). Suppose 2*i = 5*m + 28, -i + 4 = -5*i - u*m. Let s = -4 + i. Which is smaller: s or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 5*o + 12. What is the remainder when 290\/14 - (-6)\/21 is divided by y(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -781a954?\nAnswer: 781a959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 6*g - 3. Let l(s) = -s. Let r(a) = 6*a. Give g*l(q) - r(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -266510 - 28?\nAnswer: -266538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -g - 2238592, -66*h + 62*h = 2*g + 4477208. Round g to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 5. Let u be c(7). Let a = u - -5. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.5 - 0.5. Let k = -19611.4 - -19611. What is the second biggest value in 0.3, k, s, 29?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**3 - 1467*z**2\/4 - 6243*z\/4 + 46431\/2 = 0 for z.\nAnswer: -469\/4, -11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4173811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 240.1 - 242.1. Which is the third smallest value? (a) t (b) 0.55 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124839.\nAnswer: 3, 11, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 739 - 1039. Let p = z - -300.00000177. What is p rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o - 32. Let r be h(5). Which is the nearest to 0? (a) 0.3 (b) r (c) 142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -351*w**5 - 54*w**4 - w**2 - 7*w + 41.\nAnswer: -21060*w**2 - 1296*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/38 or -515500?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 24 = -3*j, 4*j + 1 = 15*o - 10*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-30) - 2\/(-3) - (-2653)\/1895. What is h in 9\/5*h**o + 24\/5 + 42\/5*h = 0?\nAnswer: -4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 216, -3 in increasing order.\nAnswer: -3, 3, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-990)\/35*(-14 - 0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2630 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 95295859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10112 (base 3) to base 4.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2. Let a be -1 - -3 - (1589\/(-4))\/(-7). Let b = -55 - a. Which is smaller: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(252) - (-1 + sqrt(252)))**2*5*5.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51178 = 5438*y - 302292 for y.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p - 29 + 479 = 0 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-4)))\/((c**6\/c*c)\/c))\/(c*c**(3\/7)*c**5) assuming c is positive.\nAnswer: c**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246, 603, 960, 1317, 1674?\nAnswer: 2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4758790 rounded to the nearest ten thousand?\nAnswer: 4760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 516753 and 8106?\nAnswer: 1396266606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*j**2 + 3204*j - 27016 with respect to j.\nAnswer: 14*j + 3204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13434.\nAnswer: 2, 3, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -617 - -1079. Suppose 0 = 36*k - 42*k + y. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from vmmvvvmmvm?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, v: 3}. What is prob of picking 1 v and 1 i?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16499 + -231103\/14. Find the common denominator of 101\/48 and l.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d**4 - 270*d**3 + 247*d**3 + 11*d - 15*d**2 - 110*d**3 wrt d.\nAnswer: -96*d - 798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 11 = -b - 5*r, 2*r - 16 = -2*b. Suppose 30 = s - 5*h - 253, 0 = -3*s - b*h + 769. Does 41 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 11908223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 6:55 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-10)\/(-4)))\/(-50*(-30)\/10500).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-4) + (-7)\/14 + 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/153402 and 71\/36186?\nAnswer: 25004526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 533147.8 meters?\nAnswer: 533147800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 41\/(2 + -3 - -2). Suppose i = -2*y - n, -8 = y + 4*n + 23. Which is greater: -20 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/5))**(-8\/3))**11*(g\/g**2)\/(g*g\/g**(1\/8))*((g**2*g)\/g)**24 assuming g is positive.\nAnswer: g**(1101\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.21 + 0.21. Let t = 10 + y. Let v = t - 5. What is the biggest value in 0, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -236 + 16*d - 9*d + 119 + 120. Let w(t) = 28*t + 12. Determine -9*r(c) + 2*w(c).\nAnswer: -7*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**2 + 476 - 850 + 374.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/((-484)\/418) + -47.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4852 + 3284?\nAnswer: 8136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 42*i**4\/5 - 1182*i**3 - 21288*i**2 + 195816*i + 288288\/5 = 0.\nAnswer: -22, -2\/7, 7, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.7 + -17.634. Let i = 0.166 - d. Is 6 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/6)\/(270\/(-520)) + -3.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-13 - -26) + (-10 - -6)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1029 and 36?\nAnswer: 12348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -18601 to the nearest one hundred.\nAnswer: -18600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5\/2 + 75*k**4\/2 - 9*k**3\/2 - 231*k**2\/2 - 75*k = 0. What is k?\nAnswer: -25, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 30*q**3 - 114*q**2 - 101*q + 12. Give m(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 - 4*d - 4. Suppose -2*i = 2*i - 8. Let n(a) = -35*a - 176. Let b be n(-5). Let u(y) = 24*y - 12*y - 13*y + y**2 - 1. Give b*j(x) + i*u(x).\nAnswer: -2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/10 and -8\/807883.\nAnswer: 8078830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/6)\/((-6)\/(-20)). Suppose d*s - 4 - 6 = 0. Is (0 + 3 - s)*79 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/509 + 992\/6617. Which is the nearest to -1? (a) 1\/9 (b) 0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4475633953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 8\/11, -2\/13, -5, 4 in decreasing order.\nAnswer: 4, 8\/11, -2\/13, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 598\/(-69)*(-210)\/130?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 259, 5, 10, 57, -5 in increasing order.\nAnswer: -5, 5, 10, 57, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y + 2. Let g be i(-1). Let d = 0.5 - 0. Let m = -1549\/1930 + 1\/386. What is the nearest to g in m, d, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 23 (b) -5 (c) -10 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6291771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/3)\/5)\/((-2)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2190737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 55*m - 30. Let k be l(3). Let n = 159 - k. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1018 - -1112.7. Let m = 16.3 + s. Let k = -110.9966 + m. Round k to 4 decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*l - 7, 19 = 4*l - 4*x + 3*x. Suppose 0 = l*v - 9*v - 85. Let s = 83 + v. Calculate the remainder when s is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9550 and 6112?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -194081 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**6\/2 - f**3\/3 + 2. Find the third derivative of n(k) wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z = 18*z + 5*w - 34431, 0 = -2*z + 2*w + 34424. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3429*m**5 - m**4 - 20*m**3 - 2*m**2 + 7936*m - 44.\nAnswer: -205740*m**2 - 24*m - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 3*d - 3, 5*d = -3*r + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 5:36 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 941093, 941098, 941107, 941120?\nAnswer: 941137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8482.283 milligrams to micrograms.\nAnswer: 8482283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 31, 20, -1, -38, -97, -184, -305, -466?\n\"Answer: -g**3 + g**2 - 7*g + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31303*h**3 - 31305*h**3 + 62606*h**3 + 148*h**2 - 288*h.\nAnswer: -2*h*(h - 72)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 268.\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -522.\nAnswer: 104.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1083 is divided by 218?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 = 5*u + 2*x, 0 = -4*u + 2*x - 0*x + 256. Calculate the greatest common factor of 44 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 5*g - 3. Let z be m(6). Suppose -z*q - q = -180. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1174269 != -1174289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 72582*q. Let w(j) = -j**2 - 11*j. Calculate n(w(l)).\nAnswer: -72582*l**2 - 798402*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3235 + -4690. What is the units digit of (-6)\/(-36) - g\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, 1\/4, 5, -3\/11, -1\/4 in descending order.\nAnswer: 5, 1\/4, -1\/4, -3\/11, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2511144 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, l: 7}. Give prob of sequence lwwl.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/((-4986)\/135 - -37)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -13. Let j = 8 + 20. Let v be 4\/j + 60\/21. Calculate the highest common divisor of d and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 8624, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 33*z - 378. Calculate v(-42).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-10) - 70\/50. Put 5, 2, c in ascending order.\nAnswer: c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -474, -458, -442, -426, -410, -394?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 1. Calculate l(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 12. Let f be w(-4). Suppose 5*l + 2*j = 41, -5*j - 17 = -f*l - 4. Find the third derivative of l*o**4 + 32*o + 14*o**2 - 32*o - 22*o**4 wrt o.\nAnswer: -360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 70\/4 + (-12)\/(-24). Suppose 17*m = j*m - 3. Suppose n + 45 = 2*o, 8*n = -2*o + 3*n + 15. Solve m*k - o + 5 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 36. Suppose 20 = 4*q - f. Solve q*w - h + 29 = 2*h, -4*w - 19 = -h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865949 is divided by 216483?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - -37. Let d = o + -73. Suppose -3*r - 6 = -4*q, 2*r + 17 = 3*r + 5*q. Solve 0 = 5*k + 4*h + 13, -r*k + 5 = -d*k + 5*h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.10957 - 17208.\nAnswer: -17208.10957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-5) - (-6)\/(-15). Let m be 0 + 1 - (j - 1). Suppose 0 = m*h + 3*h - 70. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**2 - 8 - 9 + 37)*(2267*i + 116*i**2 - 2267*i).\nAnswer: 696*i**4 + 2320*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 15, 0 = -4*y - 0*y + 3*c + 51. Let u = y - 12. Solve u*t + 6 = -9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 4:41 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 0.22. Let n = r - -0.48. Which is the third smallest value? (a) 1\/8 (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*(10 - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 510667.82.\nAnswer: 510667.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/21 - 3842*h**3\/7 - 885590*h**2\/7 - 207912674*h\/21 - 1816355676\/7.\nAnswer: -2*(h + 79)**3*(h + 5526)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 6. Let w be ((o - -4) + -15)*1. Let p be 75\/(-225) - (-74)\/(-6) - (-2)\/3. Which is greater: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.9*1\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/13, -0.047, 6, -0.1?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2 - 7604*k - 7227602 = 0.\nAnswer: -1901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -16*z + 65. Determine f(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z**2 + 10*z**3 + 14*z - 11*z**3 - 6 - 5*z. Let x be b(-10). Let n(y) = -y**3 + 6*y**2 - 6*y + 3. Give n(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*9\/24975*(-3)\/(-6)*(4 + -16)?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182816 and 249796?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410390*r**4 + 2051954*r**3 + 1231190*r**2 - 3693498*r - 36 = 0 for r.\nAnswer: -3, -2\/205195, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 20 + 10. Let o(c) = -13 + n*c + c - 7*c**2 - 2*c - 6*c**2. Let u(g) = 3*g**2 - g + 3. Let z = -16 + 7. Calculate z*u(i) - 2*o(i).\nAnswer: -i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 276.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/4141 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1312 - -1325. Solve -a*u = -17*u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*a**3*i**2 - a**3*i + 433*a**3 - 4*a**2*i - 56*a*i**3 - 80*a*i + 303*i**3 + i - 2 wrt i?\nAnswer: 70*a**3 - 336*a*i + 1818*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8962 + -3614. Suppose o = -13*o + v. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -225? (a) -2\/3 (b) -6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i. Let c(n) = n - 1. Let h(v) = c(v) + 2*k(v). What is h(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4524 = 2*p + 2*k, 12*k = 2*p + 11*k - 4536. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3325 and 1682070.\nAnswer: 58872450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*p - 107 + 443 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/1)\/(-2*1). Let b = 1104 - 1099. Put m, 4, 6, b in decreasing order.\nAnswer: 6, b, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from {z: 1, o: 1, v: 1, u: 2, l: 2, c: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.554 and -0.176.\nAnswer: -2.033504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*x**2*y - 107*x**2 + 120*x*y - 4507748*y wrt x?\nAnswer: -50*x*y - 214*x + 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 5*w**2 + w. What is the remainder when k(-2) is divided by 2\/(4\/18) + -4 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 8 - 4)*(5*m**4 - 4*m**4 + 5*m**4) as q*m**4 + d*m**2 + j + h*m + a*m**3 and give q.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 52.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 15 = -0. Let s = v - 2. Let f be -1 - 1\/(-7)*10. Is f greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 - 57. Calculate the remainder when 47 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15\/31 + 143\/217. Is 2 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/(1\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**5 + 2*h**4 - 146363*h**2 + 227685*h + 6.\nAnswer: -40*h**3 + 24*h**2 - 292726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -605.02 and -0.3.\nAnswer: 181.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 131325 or 131326?\nAnswer: 131326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -0.5, -0.8, -1\/9, 4\/9, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 289, 415, 521, 601, 649, 659?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 595096.5mm?\nAnswer: 0.5950965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7374*p - 7382*p = -2272. What is the remainder when p is divided by 89?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -707200 - -2?\nAnswer: -7071dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 104\/(-39) + (4 - 2) + 5\/(-3). Which is the nearest to -21? (a) 3 (b) 1\/2 (c) n (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -27 (c) -4\/19 (d) -0.3 (e) 1\/5 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 63*m - 44*m - 71*m)*(5*m**2 - 5*m**2 + m**3).\nAnswer: -52*m**4 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -165.75904 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.418394 - -3.42. Round y to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 237 + -243. What is the remainder when 61 is divided by 2\/(-2) - 18*(5 + t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**6\/720 - s**5\/24 - s**4\/4 + s**3\/6 - 5*s + 1. Let z(p) be the third derivative of v(p). Determine z(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223 + -1?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(-1 - 4*u + 1) + 0 + 0 + u + 0*u + 7*u - 2*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 10404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -2 + -1 - 78\/(-24). What is the closest to 1 in p, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -27*h**2\/2 - 5*h + 19. What is the tens digit of l(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 2. Let a(g) = g - 1. Let o(v) = -6*a(v) + 2*m(v). Let r be o(1). Find the common denominator of 101\/10 and (-1890)\/40*r\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44611197?\nAnswer: 3, 881, 16879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3)*b)**(-4\/41)\/((b\/(b**(-1)*b))\/(b\/b**(-3)*b)) assuming b is positive.\nAnswer: b**(476\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4647 + 12369. Round x to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*h - 47*h + 1327 + 20145. Which is the biggest value? (a) 0 (b) -4 (c) h (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/900 and 53\/4230.\nAnswer: 42300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/4 at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 10. Suppose -f*q - 36 = -116. Calculate the highest common factor of q and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.06 + -0.06. Let j = 27 + -22. What is the nearest to -2 in i, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(4)*-6)\/(1*sqrt(40)\/sqrt(4)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - -395. Let y = 302 - d. Let h = y - -132.99552. What is h rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168614751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32863, 32861, 32857, 32851, 32843?\n\"Answer: -k**2 + k + 32863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from nnnnnnxxnxnnnnnn?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 36*h - 165. Solve 17*f - h = 18*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 954221*0.02\nAnswer: 19084.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4731 and 4753173.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/3*t**3 - 1\/3*t**5 + 16\/3*t**2 + 128\/3 - 4*t**4 + 48*t.\nAnswer: -(t - 2)*(t + 2)**3*(t + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -1.09718433618.\nAnswer: -0.59718433618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14)*(-6)\/(-133). Let q = 38279\/8379 - x. Let m = -33061\/10 - -3299. Find the common denominator of q and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38.4 + 40.8. Let w = 2.6 + -5. Let i = w + r. Are i and 9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*m + 60*m = 3072. Suppose 107 = r - m. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {k: 4, q: 5, m: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665 >= 3659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 178790 = -5*a, -a - 21188 = 2*i - 56959. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61964120 to the power of 1\/3, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2627175 is divided by 875449.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (0 - 92\/18). Let g = i - 40\/9. What is the nearest to g in 0.1, 4\/3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -101100?\nAnswer: -101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 4*p - 4. Let o be c(5). Let w = o + 13. Suppose -2*b - 3*f + 113991 = -0*f, w*f = -12. Round b to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.678788 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 182?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 20*s + 144 = 0. What is the tens digit of ((-38)\/6)\/(4\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -3*u**4\/4 - 3*u**3 + 3*u**2\/2 + 9*u + 21. Factor g(s).\nAnswer: -3*(s - 1)*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 1:53 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 3*c - 2, -3*h - 5*c = -h - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2699 - 2699 - 588*v**2.\nAnswer: -588*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/(-12))\/(((-3)\/(-4))\/((-162)\/((-189)\/(-7)))).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23737576.0000095 + 23737555. Let j = i + 21. What is j rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*c**2 + 77*c**2 - 194*c**2.\nAnswer: -389*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/37056 and -97\/5902712.\nAnswer: 141665088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2035 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: b\"What is the ith term of 335, 336, 337, 338, 339, 340?\n\"Answer: i + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - r. Let i(s) = -6*s**2 + 8*s. Let y = 22 - 339. Let p = y + 341. Calculate p*u(l) + 3*i(l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3525 rounded to two decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -192826 + 192825.9. Let n = 5 + 5. Put p, n, 1, -0.5 in decreasing order.\nAnswer: n, 1, p, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 280918 + 0?\nAnswer: 280918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10 + 5*h**2 + 4*h**3 + 3*h - 3 - 5*h**3. Let g(x) = 8*x**3 - x**2 + x. What is the lowest common multiple of g(1) and s(5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/2*54\/(-12). Let b = 50 - 23. Calculate the highest common divisor of b and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 z when four letters picked without replacement from fttnfzt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -4 + 1\/24*u**4 + 0*u - 1\/18*u**3 + 0*u**2. What is n in o(n) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-12)*5*3. Suppose 7 + 3 = t*c. Solve 2*x - y = 2, c + 0 = -4*x + 5*y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2 - 441*x - 8850. Give z(-123).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/15 - 2\/5. Suppose -22*b + 27*b - f = 19, -5*b - 5 = 5*f. Let v = 3 + -4. What is the second smallest value in v, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/420*70)\/((-108)\/2430)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6239914 not equal to -6239914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 156 = -4*r, -10 = -9*r + 4*r. Let a = -37 - y. Suppose 5*k = 4*b - 601, 2*b + a*k = k + 317. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7861289 is divided by 677.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 15. Which is the biggest value? (a) p (b) 0.5 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 27\/17 (b) 79 (c) -1 (d) 3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 6*v**2 + 7*v - 12. Suppose -195*k - 30 = -201*k. Give a(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 110 - -235300?\nAnswer: 235410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29650585.\nAnswer: 5, 41, 53, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 0*t + 4*t - 4 - 3*t. Let w be u(8). Suppose w*o + 2*s = 3*o + 1, s = 0. Solve 4 - o = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 7252\/3)*-3. Let q be (3\/3 - 1) + c. Let m = q - -72517\/10. Find the common denominator of -21\/22 and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 48*o - 34. Let v = -123 - -259. Let h = v - 111. Is l(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681*k**2 + 195*k - 195*k - 235*k**2.\nAnswer: 446*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 - 1012*l**2 - 9820*l - 24300.\nAnswer: -4*(l + 5)**2*(l + 243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -52096 divided by -88\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuuzmuctztucjzz. What is prob of picking 1 c and 1 m?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*o**2 + 67 - 3*o**2 - 216*o + 127 + 27 with respect to o.\nAnswer: 2*o - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0062886774 to five decimal places.\nAnswer: 0.00629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**3\/3 + 11*b**2 - 4*b. What is n(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**3 + 138119*l - 173592 wrt l?\nAnswer: -3*l**2 + 138119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.049 (c) 5 (d) -24 (e) -1 (f) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*w + 20 = 5, 0 = 4*w + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/13 + 102856\/(-574093).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1, 5\/6 in ascending order.\nAnswer: -1, 0.5, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -6. Suppose r = g*r - 219. What is r rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1256)\/((-4)\/(-1))*2. Is 4 - f\/(7 + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 2 = -5*t + 6*g, -18 = -3*t + 5*g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 121, 159, 223, 319, 453?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1740, -1723, -1706, -1689?\n\"Answer: 17*v - 1757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1846164.\nAnswer: 2, 3, 23, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 651 = 3*q - 3*h, -5*q + 2*h = -1091. Suppose r = -q + 226. Solve -5*g - 7 = -i - 2*i, -g = 5*i + r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - 2*p - 2*p)*(-2*p**3 - 2*p**2 + p**2 + 3*p**2) as o*p**2 + y + r*p**3 + k*p**4 + i*p and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 + -62.864. Let h = l - 0.136. Sort 3, -1, 0.03, h.\nAnswer: -1, h, 0.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7893 or -8414?\nAnswer: -7893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnh when three letters picked without replacement from hnnnnhhnhnnnh?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1817424, -3634847, -5452270, -7269693, -9087116, -10904539?\nAnswer: -12721962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -846, -847, -848, -849, -850, -851?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85601, 171200, 256799, 342398?\nAnswer: 427997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2151027 and 22329?\nAnswer: 6453081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 1001115 - 1000933 = 0 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4253488199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 - 7*j + 11. Determine y(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - 32\/(-12) - (-19)\/3. Let p(o) = 9*o - 16*o + j*o. Let i(w) = 25*w - 35. Let x(l) = 2*l - 3. Let v(s) = -3*i(s) + 35*x(s). Determine p(v(z)).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 27, 4, 18 in descending order.\nAnswer: 27, 18, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3 = 8*t, 5*u + 1314*t = 1318*t - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1414276.\nAnswer: 2, 131, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (969\/(-85) + -4 + 130\/10)\/(4\/70)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**7*l)\/(l\/l**8))\/(l\/l**(-7)*l**(6\/11)))\/((l**(3\/8)*l*l)\/(l\/l**(-2\/3)*l)*l**(2\/9)\/((l*l*((l**(2\/19)\/l)\/l)\/l)\/l)) assuming l is positive.\nAnswer: l**(69661\/15048)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -215426028*j**4 + 434665356*j**3 - 223069503*j**2 + 3847050*j - 16875 = 0. What is j?\nAnswer: 75\/8474, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-18)*12\/10. Suppose 0 = 2*b + 4 - 2. Let u = -0.02 - -5.02. What is the closest to b in o, 4\/5, u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 19. Let s be q(-17). Suppose 26 = -d + 4*d - 4*o, -s*d + 23 = 3*o. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -652 (b) -231 (c) -2\/5 (d) 12 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Let f = -216 + 211. Sort m, f, 2.\nAnswer: f, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65929739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 4419325.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17761575701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*(-32)\/4)\/1. Let m = s + 13. Solve -m*a = -13 - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7184000 rounded to the nearest 10000?\nAnswer: -7180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 686025 = 251610. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1251103311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12.8 * -927688\nAnswer: 11874406.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*p = 1745 + 7565 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 2. Let w(z) = -z - 2. Let j(l) = 5*i(l) + 4*w(l). Let q be j(-5). Let g = 0 - -3. Which is the second biggest value? (a) q (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1582 and 1196536208.\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2560674278 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: Calculate the remainder when 191 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2. Let d(z) be the second derivative of 5*z**4\/12 - 880*z**2 + 7*z - 48. What is d(x(g))?\nAnswer: 5*g**4 - 1760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - 3) + (-72 - -25 - -37).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -73*k + 5. Calculate i(-4).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z - 8. Let c be s(-6). Let d be (-1 + (-6)\/(-10))\/(87\/(-83520)). Let u be 2\/(((-66)\/d)\/(-11)). Calculate the highest common divisor of u and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 4*l + 5*l)*(-113*l + 46*l - 80*l)*((4 - 2 - 3)*(-1 - 1 + 1) + 4 - 4 + 1).\nAnswer: -294*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 11*z**3\/3 + 3*z**2\/2 - 2*z + 1. Let q be k(1). Suppose -17*m = -q*m - 140. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3861 or 913?\nAnswer: 3861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3\/9 - 221*x**2\/9 - 11926*x\/9 - 11704\/9 = 0. Calculate x.\nAnswer: -44, -1, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 375228 and 375063 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 8:29 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b5 - -1?\nAnswer: 3b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -701*n - 17085. Let c be f(-25). What is the greatest common divisor of c and 4015?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-30))\/(2\/10)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1047 is divided by 1028.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 1\/5*x**2 + 0*x**3 + 1 - 1\/30*x**4 + 2*x. Let f(p) be the first derivative of v(p). Factor f(h).\nAnswer: -2*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 53*s - 275. Let f be z(-5). Solve 10*j - 2*j = -f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3.2. Let r = 0.1 + j. Let d = 0 - 0. Which is the third smallest value? (a) d (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-two thirds of a hour in seconds?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19341, -19168, -18995?\nAnswer: -18822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/150*(-150)\/(-30)*(-20)\/800*36?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 16118*m - 80573. Calculate x(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 35*p + 2566. Is d(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -471, -551, -637, -729?\n\"Answer: -3*d**2 - 71*d - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 21*y. Let h be z(1). Let r be 0\/(-1) - 9\/h. Let g(d) = 2*d**3 + 2*d**2 - 1. Let w be g(-1). Is w not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15379181 a multiple of 1092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -8*h + 7*h + 7208, -7244 = -h - 4*j. Is h a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 8:59 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 13*u = -2*b + 10, 0 = -3*b + u + 15. Solve -1 = -b*f + h + 4, -5*h + 25 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22388.49 from -0.4.\nAnswer: -22388.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-33)*(-4)\/(-12)*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10943, -10640, -10353, -10082, -9827?\n\"Answer: -8*s**2 + 327*s - 11262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppubuuuuupubvu. Give prob of picking 1 p and 2 b.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 737261897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.342 - 0.042. Let g = -0.7 - f. Sort 1\/3, g, 4 in decreasing order.\nAnswer: 4, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 3. Suppose -2*q + 0*r = -4*r + 8, 3*q - 2*r - 4 = 0. Let g be z(q). Are -1\/2 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270975 rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36440 + -655783\/18. Find the common denominator of b and (1\/(-84))\/(2\/(-628)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1.5. Let r(g) = -4*g + 80. Let u be r(20). Which is the closest to u? (a) -3\/5 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - n - 5. Let c(r) = -r**3 - 12*r**2 - 11*r. Let z be c(-11). Let a be l(z). Let d = a + 10. Solve 0 = j - d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 105\/(-33)) + (-23)\/(3036\/(-768)). Solve -3*i + 2*c = -k, 4*i = i - 3*c + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o + 15. Calculate c(-14).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -z**4 - 22054*z**3 + 43320 wrt z?\nAnswer: -4*z**3 - 66162*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 179\/15 < 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**3 + c - 1. Let h be y(1). Suppose -h*a = w - 7, a - 3*w = -4*a + 19. Suppose a*f + 3*f = 80. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47035 is divided by 87.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 69*h**2 + h - 2. Suppose -5*v = 2*p + 3*p - 20, 5*p - 18 = -4*v. List the prime factors of n(p).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (7\/21)\/((-2)\/(-18)). Suppose -9*h + 7*h = f*o - 1425, -3*o + 4*h = -829. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8160013?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from ziiizifihiiiixiifz.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*k**2*x - b**2*k*x**3 + 2*b**2*k*x**2 + b**2*x**2 - 72*b*k**2*x**3 + 5*x wrt x?\nAnswer: -6*b**2*k - 432*b*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**4 - a**3 + a**2 - 1. Let b(l) = 20*l**4 - 54*l**3 - 617*l**2 + 317*l - 38. Let f(u) = -b(u) - 2*t(u). Factor f(z).\nAnswer: -(z - 8)*(z + 5)*(4*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -320 + 315.48. Let o = b - -4.92. What is the third smallest value in -1, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*f**3*w**3 - 7*f**3*w + 186*f**2*w**3 wrt f?\nAnswer: -198*w**3 - 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -6*d + 18 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -44 (b) -1 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/6498 and 109\/59565.\nAnswer: 357390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 27*h**2\/2 - 10*h - 15. What is the remainder when q(3) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99 + -49 + -14 + -6 + -1\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d + 3*d - 53159 - d**3 + 53179 + 11*d**2. Calculate l(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from ycdqkddddyrqkdkdddd.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**4 - 6488*d**3 + 2630884*d**2 = 0.\nAnswer: 0, 811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - u = -40, x - 2042 + 2052 = -5*u for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2.89*6.6\nAnswer: 19.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -10 + 3\/(-3). Let j be (6\/(-20))\/(n\/(-10)). Which is the third smallest value? (a) 1 (b) 3\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 0*k - 2*k + 3*k - 2. Suppose -5*v - 11 = -j, -4*v = j + v - 1. Let u be i(j). Is -1 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.2 (c) 14.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13811147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 9 = 21. Let k be l\/4 + 91\/(-14). Let d(w) = -1. Let h(s) = -2*s + 5. What is k*d(m) - h(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 2:27 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 140, -2\/7, 1\/7, 2.\nAnswer: -2\/7, -0.06, 1\/7, 2, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + k - 32. What is the remainder when 8 is divided by k\/72 + 47\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*i**3*j**2*n*y + 56*i**3*y - 12*i**2*n - i*j**2*y + 852*j**2*n + j*n*y wrt j.\nAnswer: 10*i**3*n*y - 2*i*y + 1704*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -8 + 7 + (0 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 569605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l = -2*b + 14, -2*l - 34 = -4*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34\/3*l - 2\/3*l**3 + 20\/3*l**2 + 16\/3.\nAnswer: -2*(l - 8)*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + t**2 - t + 3. Let a(q) = 1500*q**2 - 4*q + 12. Determine -a(y) + 4*h(y).\nAnswer: -4*y**3 - 1496*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -35805.2573 rounded to 0 decimal places?\nAnswer: -35805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -173 + 143. Solve 0 = 34*x - k*x - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 + 4 + 15)*(-2*b + 2*b - 8*b) + (6 - 2 - 3)*(3*b + 3*b + 10*b) to the form m*b + a and give m.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4492 (b) 24 (c) 1.6 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + -0.28. Let y = -24 - -12. Let q = -8 - y. Sort q, 0.5, r in descending order.\nAnswer: q, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 37*n**6\/20 - 2335*n**3\/6 - 81*n**2 + 2. What is the first derivative of c(a) wrt a?\nAnswer: 666*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*u - 59, u + 0*h = h + 31. Let j(b) = -6*b**2 + 33*b - 12. Let v be j(4). Is v != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 7*u - 297. Let b = u + -105. Let j = b - -47. Solve 0 = -m + 3*m + f + j, -6 = m + 2*f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + y. Let v be x(-1). Suppose -i = -v*i + 2. What is the tens digit of 57\/6 - 3\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*f - 616*f - 438*f + 1247*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*w - 29 = 0, -4*c + w = c - 24. Let v(a) = -2*a**3 + 6*a**2 + 3*a + 1. Let i be v(c). Round i to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 42. What is the biggest value in 2, y, -5, 0.12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19305 = -310*p - 18685 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18914 is divided by 1718.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1351090 is divided by 19581.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -5, -0.1, 1, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)\/i)\/i)**(-21\/4)*i**7*i**3*i assuming i is positive.\nAnswer: i**(107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (312\/(-1144))\/(1\/((-792)\/16))?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 405768954?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*i = 8, -4*o + 5*i = -o + 8. Suppose -o*m = 2*m - 324. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*o**2 + 12*o**5 + 4*o + 6*o**2 + 23 - 25*o**2 + 8*o**2 wrt o.\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and -0.12.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 19. Let o = v - -15. Let g(u) = -21*u**3 - 16*u**2 + 5*u. Let p(y) = -4*y**3 - 3*y**2 + y. Determine o*g(t) - 11*p(t).\nAnswer: 2*t**3 + t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2\/10 + 563797*o\/10 + 563799\/5 = 0.\nAnswer: -2, 563799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Suppose 3*o - k*g = -4*g + 201, 0 = -5*o - 3*g + 335. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/p*p**(-3)\/p*p*p*p**(-1\/12)*p\/(p*p**(-2\/7)))**(-48) assuming p is positive.\nAnswer: p**(2956\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -11*b + 5. Let p(t) = -45*t + 21. Suppose 3*h - 6 = 0, 15 = l - 79*h + 84*h. Give l*p(q) - 21*x(q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 144 = q. Let z = q - -54. Solve -c = 2*c - z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 53*f - 37. Let i be u(2). Is i at least 72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -26*a**4 - 6*a**3 - 37*a**2. Let i(h) = -h**4 - h**3 - h**2. Let j(m) = 6*i(m) - x(m). What is the third derivative of j(b) wrt b?\nAnswer: 480*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.42 - 3.42. Let x = -19 + 23. Which is the nearest to 1? (a) x (b) -1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 344 = -24. Let d = w - 35. Let l be 0\/(((-4)\/2)\/1). Solve l = d*h - h + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 18*u + 20. Let v be z(-17). What is the second derivative of 4*j**3 - 4*j + 0*j + 10*j**v + 12*j wrt j?\nAnswer: 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8465532193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-8)\/6)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (487 - 1063 + 506 - l)*(16*l - 14 - 17 + 30).\nAnswer: -16*l**2 - 1119*l + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 782002 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 14293580. Let z(g) = -2*g. Calculate z(m(d)).\nAnswer: -2*d + 28587160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2893?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2054 - 1664. Calculate the remainder when n is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3693 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3317731.\nAnswer: 1091, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-63) - ((-4248)\/(-81))\/(-2). Put 2, 8, k in descending order.\nAnswer: k, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3035925 divided by 607185.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2)\/a*a)**(-35))**19 assuming a is positive.\nAnswer: a**(665\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -816, -1590, -2368, -3150, -3936?\n\"Answer: -2*d**2 - 768*d - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.78 - -0.77933. Round i to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5*k + 5*c - 32 = 0, 0 = -4*k + 3*c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-6875)\/1694 + 4) + 4\/(-18). Solve -18*c = 106 - t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10651\/2 less than or equal to -5326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53513783161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 6531*a + 55 = 6537*a, 2*d - 4*a + 50 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 10:41 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*k + k, -5*z + 602 = -3*k. Calculate the remainder when (-7)\/(35\/10) + z is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 20 + 12 = 0. Let o be 30*-1*(-2)\/5. Suppose 3*k = -z*k + 4*m + o, -2*m - 6 = 0. Which is smaller: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6723 = -3*d + 10*g - 7*g, 5*d = g + 11189. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95250 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6477 + 9703. What are the prime factors of c?\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 7:56 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 25*m = 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 2. Let u be x(6). Suppose 0*z = u*z - 24. Put -3, z, -0.5 in ascending order.\nAnswer: -3, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28047 + -28047.3. What is the second smallest value in 0.3, s, 1\/25, -0.6, -1\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-4)\/((-308)\/33)). Let v(h) = 6*h**2 - 4. Let d(l) = -2*l**2 + 1. Calculate o*d(n) - 2*v(n).\nAnswer: 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*x = 119*x - 24*x - 583253. Is 59 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-2940)*1085*-1?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**3 - l**2 + l + 5. Let b(d) = -d**3 - d**2 + 1. What is -10*b(t) + 2*o(t)?\nAnswer: -2*t**3 + 8*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 380, 0.0801, 0.2 in increasing order.\nAnswer: 0.0801, 0.2, 380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19968\/(-9)*195\/(-130). What is the greatest common divisor of 52 and t?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/42 + 6\/(-42). What is the nearest to h in 5, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -17)*1692\/(-4794) + (-15 - 0). Let o = 182\/3 + -60. Which is the biggest value? (a) o (b) i (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307167 is divided by 156.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 646142201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-4)*x)\/x*x\/x**(15\/8) assuming x is positive.\nAnswer: x**(33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -393*t**2 + t - 11. Let n be z(-9). Let j = n - -78853. Round j to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 24. Let x = -15 - -24. Solve l*n + 0*n = x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 697108000 to the nearest 1000000.\nAnswer: 697000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 4*p**2 + 2*p + 2. Let l(d) = -d + 8. Let f be l(4). Suppose -2*r + f = -4. Is 10 a factor of c(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (0 - -1)*-466591. Let r = a - 676589. Round r to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3236 is divided by 1540?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (106\/1431)\/(4\/3)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 17*d**2 + 2*d - 5. Let a(y) = -17*y**2 - 2*y + 6. What is -5*a(g) - 6*t(g)?\nAnswer: -17*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2054225*v + 2427440 wrt v.\nAnswer: 2054225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73 - 7. Let m = 89 + t. Let h(a) = -a + 11. What is h(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 2*v - 4*v)*(-3 + 0 + 1) + (-4 + 2 + 4)*(-3*v + 0*v + v) + 0 + 0 - v + 2*v + 0*v + 0*v - v + 2*v + v as b + x*v and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 11 = -2*s + s, -5*s + 4*l = 0. Let r = s - 0. Let p = -58 - -55. Which is smaller: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12300010213 (base 4) to base 15.\nAnswer: 24e597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 780753 to the power of 1\/2, to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 + -59. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (297*i**3 - 76*i**3 + 89*i**3)*(-2*i**2 - 2*i**2 + 3*i**2).\nAnswer: -310*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 26 = b, -2*n = -5*n - 4*b + 34. Suppose -1 = -2*y - 11, -4*i = -2*y - n. Let k = 11 + i. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 divided by 761?\nAnswer: -244\/761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - n - 1. Let v(o) = -3*o**2 + 2*o + 3. Let f(b) = -5*s(b) - 2*v(b). Suppose 5*d = 8 + 7. Let m be f(d). Solve -4*c + 1 = -m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(2\/31)*o*o\/o**(3\/4) assuming o is positive.\nAnswer: o**(271\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22900 - 20259. What is the remainder when v is divided by 98?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*v**4 + 156130*v**3 + 5*v**2 + 750468*v.\nAnswer: 216*v + 936780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**3 - 5*v**2 - 3*v - 61. Determine n(6).\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12438739*p**2 + 11879366*p wrt p.\nAnswer: 24877478","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000 - -2111020000201?\nAnswer: 2111020001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 631589843*t**2 - 1140705*t - 18 wrt t?\nAnswer: 1263179686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4201*b*x - 165*x + 4 wrt b.\nAnswer: -4201*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**4*z + 1079604672*v**3*z**3 + 9*v*z**3 - 22271565*z**3 wrt v?\nAnswer: 12*v**2*z + 6477628032*v*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*w**2 - 4*w**2 - 2 + 2 to p*w**2 + n + d*w and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**2 + 4. Let a(v) = -11*v**2 + 8. Let t(u) = -4*a(u) + 9*n(u). Let s be 2*(9\/4)\/((-15)\/(-10)). Determine t(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 - -313\/2. Which is the smallest value? (a) 1\/3 (b) 1\/4 (c) -0.4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 2\/5 (c) 4 (d) -2\/9 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(2\/20*-2). Suppose -2*z - 3*o + 4 = k, -3*z - 5*o = 0. Let j be 15\/(-25) + (-3)\/z. Let a(p) = p**2 - p - 3. Give a(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2326852 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -313093 - 3?\nAnswer: -313096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 329*i**2 - 415*i - 6. Let t(q) = 329*q**2 - 415*q - 8. Let d(r) = 8*f(r) - 6*t(r). Find the second derivative of d(y) wrt y.\nAnswer: 1316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 17, -592\/9, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 11 = -79 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (27\/12 - (-8)\/32).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1739*i + 1743*i - y + 18, -20 = 4*i - 2*y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14949 and 99474?\nAnswer: 495678942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**4\/14 - 34*u**3\/21 - 80*u**2\/7 - 24*u + 328. Factor b(p).\nAnswer: 2*(p - 21)*(p + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b. Which is greater: -1.3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 68, 52, 32, 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 - 1.97. Let f = v + 2.2. Let n = -978\/7 + 140. Which is bigger: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = i - 2*o - 2*o, 2*i - 15 = -3*o. Solve -w + i*w = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 8. Suppose -6*m + 12 = -2*m, -a + 5*m = 5. Let f(p) = -10 + 5 + 2*p**2 - a. Let q = -146 - -140. Determine q*f(z) - 11*c(z).\nAnswer: -z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -20\/1913?\nAnswer: -20\/1913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -347*m - 1 + 341*m - 7 + 3 as x*m + z and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 3690\/(-162) + 8\/18\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iapmmmpqpq. What is prob of picking 2 m and 1 p?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 2\/2149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -22*a - 247. Give t(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012012011012 - -10?\nAnswer: -2012012011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/11844 and -31\/574434.\nAnswer: 1148868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1364 is divided by 487.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, 48, -4, 59 in ascending order.\nAnswer: -5, -4, 7, 48, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*k = -43, 0 = -3*n + k + 39 - 76 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35944 + 73117. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*p - 21*p - 24*p + 3*p - 2*p + 0*p + p + 2*p - 2*p - 4*p + 4*p - p + (3*p + 2*p - 7*p)*(1 - 1 - 2) - p - 2*p + 2*p - 2*p + 4*p - p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69 and 6217590?\nAnswer: 6217590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 - 4*m**3 + 5*m**3 + (2*m - 2 + 2)*(0*m + 0*m - 2*m**2) - 3*m**3 + 1787664 - 1787597 + m**2 - m + m**2.\nAnswer: -6*m**3 + 2*m**2 - m + 67","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -13.8. Which is smaller: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(44\/984) + -5. Let o = -66 - z. List the prime factors of o.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 28. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -138, -299, -524, -849, -1310, -1943, -2784, -3869?\n\"Answer: -6*g**3 + 4*g**2 - 131*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*t - 40. Calculate the greatest common factor of 60 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 + -89 - ((0 - 4) + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 28 - 53 = 0. Let c(d) = d**2 + 4*d + 8. Calculate the remainder when c(q) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(0*q - 3*q + 2*q) + 2 + q - 2 - 2*q + 4*q + q + 19*q + 138*q + 97*q + 44*q.\nAnswer: 303*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 731*c - 18. Let s(m) = 2925*m - 80. Determine -2*s(j) + 9*y(j).\nAnswer: 729*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -68b (base 13) in base 11?\nAnswer: -937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-162)\/22 - (-72 - -65)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7915899?\nAnswer: 3, 2638633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/2)*o\/(o**(-19)*o) assuming o is positive.\nAnswer: o**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**7\/315 - s**6\/20 + 5*s**5\/18 - 3*s**4\/4 + 10*s**3\/9 + 13*s**2 - 2. Factor w(v).\nAnswer: 2*(v - 5)*(v - 2)*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -286 - -517. Calculate the lowest common multiple of p and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -38*k - 4. Let u(c) = 25*c + 3. Let p be (-16)\/(-40)*(-100)\/(-8). Determine p*y(d) + 7*u(d).\nAnswer: -15*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzrrp. Give prob of sequence zmp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 53614, 13, 3\/7?\nAnswer: 53614","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -994\/9 or -109?\nAnswer: -994\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(10\/(-2) + 0). Let t = -148 + 141. Let o = t - -18. Which is smaller: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 - 64. Let q be ((-16)\/(-10))\/(y\/10). Let t(f) = f**2 - 2*f - 16. What is the tens digit of t(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/219 and 29\/36.\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 111358 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17005119881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/13, 298, -2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0049390109 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*s**3 + 8 + 2*s - 5 + 3*s**3 in the form l + i*s**2 + x*s**3 + m*s and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1413 + 2848. Let v = -4235\/3 + b. Find the common denominator of 38\/9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*2)\/sqrt(8) + -3.\nAnswer: -3 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y - 3*w = -126, 4*y - w = 111. Let l(o) = 21*o - 21. Let d(z) = -3*z + 3. Let f(c) = y*d(c) + 4*l(c). List the prime factors of f(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - b + 0*b - 2 - 4*b**3 + 0*b to y*b**3 + j*b + d + f*b**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 15, -s + 2*s = -4*a + 16. Suppose s*w - 2 = 3*w. Calculate the least common multiple of w and (0 + -11)\/(4\/(-8)*1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 475? (a) -4\/17 (b) 2\/5 (c) 1\/3 (d) -2\/19 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2992*c - 6923 = -234315 for c.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -294551 + v + 6*v - v**3 + 294551 + 169*v**2 as h*v + s*v**3 + u*v**2 + i and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 3\/2 (c) 1 (d) 93.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/22 + 31\/2. What is the highest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (416\/(-32) + 13 + -1)*(1 + -2 + 12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34379*g**2*w**2 - 9*g**2*w + 3*g**2 - 217*g*w**2 - 4*g*w - 18101*g - 1 wrt w?\nAnswer: -68758*g**2 - 434*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1667*c**4 + c**3 - 2*c - 11475 wrt c.\nAnswer: 6668*c**3 + 3*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/13 - 1446*v**2\/13 + 63378*v\/13 + 143203094\/13.\nAnswer: -2*(v - 283)*(v + 503)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 3*p - p + 0*p - p + 0*p - 5*p + p + 2*p + 2*p - 3*p + 3*p + (-3*p + 4*p + 0*p)*(-6 + 3 + 4) - p - p + 0*p)*(-9*p + 5*p - p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 9*r + 600 = 0. What is the greatest common factor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -4 - 1)*(-26 + 2660\/112). Solve 0 = i - 3*k + y, -k + 25 = 3*i + 3*k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - u + 4. Let q be s(0). Let j = 51 - 35. Suppose -j = -q*v + 40. What is the remainder when 41 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9096\/840 - 24\/(-15)) + 8\/14?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -251 + 5269\/21. What is the second smallest value in 4, -35, s, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2803 or 2802?\nAnswer: 2803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - 5. Suppose 0 = -5*m + 3*h + h + 195, 3*h = -u*m + 160. Suppose -2*s = -207 - m. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1592.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.060417\nAnswer: 0.0060417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6591357.\nAnswer: 3, 732373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = 2*b + 10, -5*b - 10 = 0. Let s(j) be the second derivative of -j**3\/6 + 7*j**2\/2 + 4*j. What is s(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-112)\/(-18))\/(-6*(-12)\/54).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 179 + -179. Suppose n = 11*g - 8 + 30. Put 17, 1, 2, g in descending order.\nAnswer: 17, 2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2684*h**5 - 112*h**2 - 36*h - 51150 wrt h.\nAnswer: 53680*h**3 - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 minus -15?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -2\/11, 4, 22632 in decreasing order.\nAnswer: 22632, 4, -0.07, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 526, 533, 550, 583, 638, 721, 838?\n\"Answer: u**3 - u**2 + 3*u + 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 5, -5, 2, 2453717, -8 in ascending order.\nAnswer: -8, -5, -1, 2, 3, 5, 2453717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44980346, 44980347, 44980348, 44980349, 44980350?\nAnswer: 44980351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**3\/6 + 7*t. Let c be -6*(-2 - 5\/(-3)). Let m be h(c). Let z(k) = -2*k. Let s(u) = -2*u. What is m*s(r) + 3*z(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -9666.4 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 436226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 2, l: 1, d: 1, u: 1, a: 1}. What is prob of sequence dt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 45 = 3*i, -1 = -4*f - 3*i + 52. Solve -3*a + 4*j = 10 + 7, -4*j + f = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23332.\nAnswer: 2, 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -15, -205.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2162 (base 8) in base 9?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 4\/3)\/((-14)\/(-378)). Suppose 201 = y*n + 876. Let z = n - -283. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 8235, 5 in increasing order.\nAnswer: -0.7, 5, 8235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102240 and 400?\nAnswer: 511200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/57, -76, 2\/7, -6 in increasing order.\nAnswer: -76, -6, -2\/57, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*5\/(-510))\/((-13000)\/3120).\nAnswer: -3\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 122112430 - -25?\nAnswer: 122112455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47518083 is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 13. Let j be y(-11). Suppose 5*z = 4*z + j. Solve 0 = z*x - 1 - 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12737 + -12037. Solve -9*y - l = 91*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141870634 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 808, 1175, 1542?\nAnswer: 1909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 4*f + 7. Let n = -19 - -6. Let t = 7 + n. Is b(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, y: 1, c: 1}. Give prob of picking 2 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**6\/120 + k**5\/6 + k**4\/24 - 7*k**3\/6 + 36*k**2 - k. Calculate n(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 5 + 0\/(-1). Let w(i) = -33*i**2 - 2*i - 4. Let t be w(2). Let z be t\/21*(-2 - (-3)\/6). Solve -g*b = -z*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -270 + 269. What is the hundreds digit of 293 - ((-3 + 3)\/(-6))\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5\/5 - 1291*c**4\/5 + 1543*c**3 - 6401*c**2\/5 - 30876*c\/5 + 9252 = 0. What is c?\nAnswer: -2, 2, 3, 1285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1282061263501\/4289276600 + 591439\/806255. Let d = -7274\/475 - w. Let q = d - -2286\/7. Find the common denominator of -28\/9 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.58345 decades in months?\nAnswer: 7270.014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/7, -130, 1 in descending order.\nAnswer: 1, 5\/7, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + 44.9. Let t = h - 43.971. Round t to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 - (-2 - -11 - -25) - 132\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(17)*6 - (5 + (sqrt(17)*-2)**2).\nAnswer: -73 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 87. Let i be a(0). Let y = -40 + i. Calculate the remainder when y is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 2. Let t = 1.4 - 1. What is the second smallest value in c, t, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 8*k**2 - 4*k + 7. Give a(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -19\/90 and -1.2377 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (0 - 0)) + -4 - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 436505, 436519, 436533?\nAnswer: 436547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 1494*y**2 + 233100*y.\nAnswer: 2*y*(y + 222)*(y + 525)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1014\/47 (b) 0.6 (c) -0.58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100110110101101111 - 100?\nAnswer: -11100110110101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(432) + sqrt(432))*-2 + 0)**2 - -3*(-1 + 4*sqrt(75)).\nAnswer: 252*sqrt(3) + 6913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 n when three letters picked without replacement from pnnplppnnnp.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 28, 89, 0 in increasing order.\nAnswer: 0, 7, 28, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/(-5)*546\/(-57456) and 63\/40.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 21*j**2 - 3*j - 3. Let m be u(21). Let g = m + 76. Solve 3*b + 5*d = g, 3*b - 4*b + 2*d + 7 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-33)\/(-11) + -1*2. Is 1\/14 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*v - a, -2*v = -5*a + 3 + 1. Suppose v*s = -0*s + 9. Solve 3*b = s - 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1029005?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 361 plus -138738?\nAnswer: -138377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 814d1 (base 15) in base 7?\nAnswer: 3323536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 590286?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -992931?\nAnswer: 1\/330977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13895 times 2\nAnswer: -27790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 2358.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 1, a: 1, r: 1, p: 1}. Give prob of picking 1 i, 1 t, and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9, -13, -73, -189, -379?\n\"Answer: -3*y**3 - y**2 + 2*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*f - 435 = 0, -9*f = 2*u - 4*f - 174. What is the remainder when u is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 866*v - 2. Is 32 a factor of z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3244*d**2 + 3796*d**3 + 3244*d**2 - 3369*d**3.\nAnswer: 427*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.45 + 0.55. Which is the second smallest value? (a) p (b) 2 (c) -1 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(1\/15)))\/(b**(-2\/3)\/b*b)*b*b*b**(12\/11)*(b*b**(-3\/5))\/b)**(2\/5) assuming b is positive.\nAnswer: b**(68\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -144345592 greater than -144345593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*t + 46 = -112 - 101 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 4*b + 20. Suppose b*c - 25 = -c. Suppose 5*n + c*h = 50, -6*n + 4*n + 2*h = -8. What is the smallest common multiple of 3 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -706649507*m + 104157642 wrt m?\nAnswer: -706649507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, l: 2, t: 11, u: 4}. What is prob of picking 1 t and 1 l?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 12, s: 7}. Give prob of picking 2 f and 1 s.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d - 67. Give s(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.066851, -2\/19, 0.5?\nAnswer: 0.066851","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9998738 times -0.3?\nAnswer: -0.29996214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) 4 (b) -4 (c) 3 (d) -2 (e) -23\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 1, -10, -33, 5 in increasing order.\nAnswer: -33, -10, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 4*o - 72, -40 = -42*g + 43*g - 3*o for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 75. Does 37 divide 1106\/a - (-14)\/105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/6 - -1)*3. Let i(s) be the second derivative of 1\/20*s**a + 0*s**3 - s**2 + 0*s**4 + 0 - s. Find the first derivative of i(o) wrt o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -60. Suppose 3*p = -3*z - z + 19, -3*p + k = 3*z. Solve -5*v + a = -0*v - 9, -p = v - 3*a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 35*m**2 + 5*m - 2*m + m.\nAnswer: 35*m**2 + 4*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiieiiieiie. Give prob of sequence iei.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -33*m + 11. Let r(n) = -99*n + 31. Determine -17*l(s) + 6*r(s).\nAnswer: -33*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 60 in 0.085, -133, -5?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.65 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*n - 2*t - 27, 12 = 3*t. Suppose -2*q + 5*s = -0 - 12, q + s - n = 0. Is q*(-4)\/((-12)\/9) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*s + 11, 4*s - 8 = -3*b - b. Sort -3, b, -5 in increasing order.\nAnswer: -5, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/35, -3, 0.02 in increasing order.\nAnswer: -3, -0.3, -2\/35, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(36)\/sqrt(192))**2 + sqrt(3).\nAnswer: sqrt(3) + 51\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304782?\nAnswer: 2, 3, 79, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 25507795.\nAnswer: -331601335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 951?\nAnswer: -950.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*d**2*k*t - 8*b**3*k**2 + 3*b**3*t + 3*b**2*d - 10*b*d**2*k*t + b*d**2*t + 2*b*k**2 wrt b?\nAnswer: 12*d**2*k*t - 48*k**2 + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*l + 12*s - 16*s, -3*l - 2*s = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 177919760.\nAnswer: 1\/177919760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46548 and 1522152.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -548 or -547?\nAnswer: -548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 7:10 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 29.8 and -11.1?\nAnswer: 40.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -523 + 889. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbb when three letters picked without replacement from {b: 9, s: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**4 - a**3 + a**2 + a. Let v(d) = 8*d**5 + 12*d**4 + 12*d**3 - 46*d**2 - 12*d. Let s(g) = -v(g) - 12*x(g). Find the third derivative of s(f) wrt f.\nAnswer: -480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28.79 and -0.03?\nAnswer: -0.8637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5283*c**3*i*j - 8*c**3*i - 3*c**3*j + 4*c**3 - 12*c**2*i + 2*c*i*j + 219*c*i - 2*c*j + 2*i*j + 23*j - 5 wrt c?\nAnswer: -31698*i*j - 48*i - 18*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -161932 or -161927?\nAnswer: -161927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.17 + -0.17043. What is z rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = -217*q - 214*q + 428*q + 5*c, -2*c = -0*c + 2 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/12)*s*s)\/s**(-15) assuming s is positive.\nAnswer: s**(205\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*f**2 - 103*f**2 + 10*f**3.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6827791 or -6827792?\nAnswer: -6827791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a**2 - 2324*a + 13692. What is l(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -541 + 546. Suppose 4*c - 32 = -u + 27, 0 = c - z. Calculate the remainder when 818 is divided by u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -m + 1, 106*m + 8 = -4*o + 111*m. Sort o, 1, -5, -2 in decreasing order.\nAnswer: o, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99333 is divided by 254?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 11 + 8 = 0, 27*h + 15*f + 144 = 12*f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (125\/(-4))\/((-5)\/4).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 141 - 86. Suppose j*m - 60*m + 25 = 0. Let b(a) = -a + 7. Let x be b(m). Solve -x = v - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 2\/109 (c) 0.4 (d) 116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l + 0 + 0)*(7*l + 489 - 1153 + 479) as a*l + v*l**2 + g and give a.\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695*s + k - 199530 = 690*s, 3*s + k = 119720. Is s a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 544 + -514. Let t be (25\/8 + -2)*n\/90. Which is the fourth biggest value? (a) 9 (b) t (c) -4 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 10:29 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 - 0.2. Let v = 8063\/90 - 897\/10. What is the second biggest value in a, 0.01, -3, v?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28\/5 - 6. Let g = -2.6 - 0. Let p = g + -0.4. Are p and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 7559967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 23*b**2 - 60*b - 6. Let k be f(3). Sort 4, k, -2\/9, -3.\nAnswer: -3, -2\/9, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-1422))\/(22\/220*-5)?\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 + 10*z + 2. Suppose -3*j + 13 = 4*l, 6*j - l - 8 = 3*j. Let g be p(j). Solve 20 = -0*d - g*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + d - 3)*(6 - 14 - 20 - 2 - 4 + 4 + 0 + 0 + 1 - 1 - 1 + 0 + 4 + 0 - 2 + (-1 - 2 + 2)*(-5 + 3 + 1)).\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -75*l. Let f be q(-1). Suppose 0 = -3*x + 8*x - f. Let c be (-6)\/(-9)*x + 2. Calculate the highest common factor of 60 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -9*s + 6. Let z(y) = -13 + 14 - 4 + 9*y + 3. Determine p(z(a)).\nAnswer: -81*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53771 + 10733. Let p = k + -95962. Round p to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(114)\/sqrt(2)*-3)\/(sqrt(3) + sqrt(243)*2 + sqrt(3) + (sqrt(9) - (sqrt(18)\/sqrt(2) - sqrt(9)))\/sqrt(3)))**2.\nAnswer: 684\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -711067\/44 + 16163. Find the common denominator of w and 13\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b - 5*b + 7*b - 2*b. Let l = 289 + -163. Let z(p) = 135*p**2 + l*p**2 - 272*p**2. Determine z(k(d)).\nAnswer: -99*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 168955865 to the power of 1\/2, to the nearest integer?\nAnswer: 12998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3003387?\nAnswer: 3, 19, 52691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 220 + -216. Suppose 2*i - 15 = -3*i. Let t(u) = -u - w*u + 9*u - i*u. Let l(g) = -g**2. Give l(t(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/7785 and 40\/15051?\nAnswer: 225765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167 + 87. Does 56 divide z\/48 - 173\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mznuzmmknkzomkmummzz. What is prob of sequence uzk?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l**2 + 22 - 17*l**2 + 71 - 10.\nAnswer: -2*l**2 + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 6*h - 4. Let g be r(-6). Let s(j) = j**2 - j - 4. Is s(g) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 9*j + 41\/12*j**4 + 0*j**3 + 0 + 0*j**2. Let d(q) = -2*q. Let o(b) = 3*b. Let g(n) = -5*d(n) - 3*o(n). Give h(g(k)).\nAnswer: 41*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24309 divided by -24309?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10271755 to the power of 1\/2, to the nearest integer?\nAnswer: 3205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 12:53 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483314.\nAnswer: 2, 13, 29, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + 1 + -6*sqrt(396).\nAnswer: -25*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 2. Let k be m(-4). Suppose 0 = 4*h - 20, 3*h - 12 = -w + h. Suppose 0 = -o - w*o. Sort -1, k, o.\nAnswer: -1, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o**2 + 3*o**2 - 2*o**2)*(6*o**2 + 0*o**2 + 0*o**2) in the form a*o**4 + s*o**2 + q + r*o + d*o**3 and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s - 7. Let q(p) = -16*p + 34. Suppose 15*n = 13*n - 22. Let g(y) = n*t(y) - 2*q(y). Let w be g(6). Solve 3*r + w = -9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 3)\/(3\/2). Suppose 3*u - 4*r = -5*r + 191, -g = -r. What is the highest common divisor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 233 - 222. Calculate the remainder when 307 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 43*a + 22. Let z = -14 - -16. Let w be 21\/3 + z*1. Is c(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -845963, -845826, -845689, -845552, -845415?\nAnswer: -845278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-105))\/(87*(-24)\/(-38280)).\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 + 5*f - 5*f.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*d - 37 = 0, 4*h - h = -3*d + 108. Calculate the greatest common factor of 10 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3)\/j)**(-2)*j**(-3\/5)\/j**25 assuming j is positive.\nAnswer: j**(-334\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 15 = -169. Find the second derivative of 4*n - 32 - g*n**2 + 110 - 34 - 36 wrt n.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roddo. What is prob of sequence ddo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b0 (base 13) to base 11.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 - 4*d**3 + 2*d**3)*(1 - 1 - 2)*(-1 + 0 + 0)*(2 - 4 + 3 + (3 - 3 + 2)*(-6 + 2 + 2) - 2 - 6 + 4 - 3 + 2 + 2).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + s + 0*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**9\/126 - p**8\/28 - 7*p**5\/5 - 12*p**2. What is the third derivative of m(x) wrt x?\nAnswer: 480*x**3 - 720*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 0.5, 6641, 4, 1 in descending order.\nAnswer: 6641, 32, 4, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 1, -1\/8, 0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -60084, -60085, -60086, -60087?\n\"Answer: -d - 60083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueyuyhen. What is prob of sequence ynu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b**(-2)*b))**(3\/5) assuming b is positive.\nAnswer: b**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -32*v + 7*v. Suppose 4*y + 21*j = 16*j + 56, v*y = -2*j + 42. Solve -5*z + 5*h = 5 - 0, -5*z - 4*h = y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-5) - (-90)\/50. Let t(m) = -3*m**q - 9*m + 22*m - 13*m. Let g(a) be the second derivative of -a**4\/6 + a. Calculate t(g(y)).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a + -9?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 624, 2630, 6020, 10794, 16952, 24494, 33420?\n\"Answer: 692*c**2 - 70*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, x: 3}. Give prob of sequence xbb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 4*h - 28. Let v be u(-5). Let x = -79 - -149. Suppose -9*d + v*d = -x. Calculate the remainder when d is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -456 by 21.\nAnswer: -152\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4479004842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oddddohohoddddood. Give prob of sequence hddd.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -10. Let w = -4\/20235 + 27863623\/141645. Let x = w - 197. Which is the smallest value? (a) x (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 704*d**3*j*q**3 - 5*d**3*j*q**2 - 32*d**3*j*q - 18*d**2*j*q + 3*d**2*j - 3*d*j*q wrt q.\nAnswer: 4224*d**3*j*q - 10*d**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 66.4?\nAnswer: -66.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -15319776 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 2\/7 (c) -1728 (d) -7 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 115?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -3) + (-1)\/(-1). Suppose -2*o = -4, 0 = -v + t*v + 3*o - 14. Solve 0*l = 4*l + 2*d - 22, 2*l = -v*d + 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 9. Is 13 a factor of o(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1. Let d(r) = -4*r - 3. Let v(q) = d(q) + 2*k(q). Let a(u) = -3 - u**3 - 7*u + 6 + 16*u. Determine -2*a(n) - 5*v(n).\nAnswer: 2*n**3 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11)\/2)\/(2\/4). Let u = n + 16. Suppose -15 = -5*m + 5*i, 4*m - 18 = -3*i + u*i. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10350, -39525, -88144, -156207?\n\"Answer: -9722*c**2 - 9*c - 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81262990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1. Let p be 12 + -6 + -1 + i. Solve -j - p*g - 8 = 0, 3*j - 2*g - 5 + 1 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 24*z - 1. Let l = -7 + -8. Calculate the remainder when o(1) is divided by 1 + 1 - (l + 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w**2 - 3 + 3)*(-3*w - 4*w + 3*w) - 5*w + 2*w**3 + 5*w + (0*w**2 - 4*w**2 + 2*w**2)*(w + w - 3*w) to the form g*w**3 + c + n*w**2 + z*w and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 + 0.2. Let r = -0.8 - k. Let h = r - 0.1. Which is smaller: -0.2 or h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/6 - 8 - -13. Suppose 138 = 4*j + z, z + 37 = 4*j - 3*j. Let k = j - 14. Calculate the highest common factor of s and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*m + 3*m - 4*y + 14, 14 = -2*m + 5*y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 2224715\nAnswer: -2224714.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v - 20*v + 40*v - 14*v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34.3744 + -2.9744. Is d at most as big as -1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 3*f - f**2. Let i(o) be the third derivative of 0*o**3 + 0*o**4 + 0 - 3*o**2 + 1\/30*o**5 + 0*o. Calculate i(w(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1479 = -291*k + 4050 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from {b: 5, z: 1, o: 2}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 158 - 163. Let u(t) = t**2 + 5*t - 5. Let w(z) = 2*z**2 + 6*z - 6. Calculate h*u(q) + 4*w(q).\nAnswer: 3*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -25. Solve 0*d = 3*d + a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -592 divided by -4.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -447 times 45939?\nAnswer: -20534733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -1) + (-17 - (-6 - 18)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3383353\/198 - -189105\/11. Let a = l + -207\/2. Let c = -0.0444 + 18.0444. Which is smaller: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 12*w + 545. What is the remainder when v(-32) is divided by 95?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -80, -13, 54, 121, 188?\n\"Answer: 67*p - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24189959 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1432 is divided by 266.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -301 - -2110\/7. Let q = 9 + -14. What is the closest to j in -2\/3, q, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*x - 15*w + 16*w, 6 = 5*x + 4*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**3*v**3 - 186*d**3 - 1074*d**2*v**3 + 4*v wrt v?\nAnswer: -18*d**3*v - 6444*d**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Let r = 0.198309 - 0.188309. Sort -0.16, -5, r, s in increasing order.\nAnswer: -5, -0.16, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94937.\nAnswer: 139, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -1 + 4 - sqrt(17))**2 + sqrt(2448) + -1.\nAnswer: 8 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-238)\/1524 + (22\/(-24) - (-156)\/208). Is 1 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 31.6.\nAnswer: 31.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72495 and 8505?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 4, -32, 108, -0.06, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 - -110 - (3 - -16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2339*g + 55392 + 18710 = 157 + 15470 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 301 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(24)\/(sqrt(12)*2) - ((1*sqrt(108))\/sqrt(6))**2)*4.\nAnswer: -72 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 + -90. Let p = 7.15 + -0.15. Suppose 7*j + 25 = 25. Sort 1\/5, p, l, j in ascending order.\nAnswer: j, 1\/5, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.4, 2, -1, 6\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 2916*y - 2917*y - 73, 11*w - 10*w = 2*y - 29 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -517 and 5?\nAnswer: -2585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and 0.1101.\nAnswer: 0.014313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 922353731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**5\/60 + a**4\/24 - a**3\/3 + 16*a**2. Let r be q(2). Solve g = -r*g - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6*w - 108 = 0. What is the remainder when w is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12560\/(-8400) - ((-17)\/5 + 2)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*g + 96 = b, -2*b - 5*g = -48. Calculate the remainder when 46 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068 + -50.5?\nAnswer: -50.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g - 12. Let z be a(7). Let p(t) be the third derivative of 0*t**3 - t**z + 0*t**4 - 1\/210*t**5 + 0 + 0*t. Suppose p(j) = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-260)\/(-39)*((-34)\/(-45) - (-40)\/90).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*z + b, -z + 3*b - 10 = -6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -236*o**2. Let n(j) be the second derivative of -j**4\/4 - 521*j. Determine n(r(z)).\nAnswer: -167088*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -5*g**2\/2 - 23*g + 835. What is b(-11)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeeegccizz. Give prob of picking 1 g and 1 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-4)\/6*3. Suppose -4*b + l + 7 = -y*b, 5*b = -3*l + 1. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 328*c - 4966. Calculate x(15).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2280*j**2*p**3 + j**2 - 7*j*p**3 + 11*j*p**2 - p**3 + 3220 wrt p.\nAnswer: -13680*j**2 - 42*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/(s\/(s**6\/s)*s))\/s*s)\/s**(-5))**(-16))**31 assuming s is positive.\nAnswer: s**(-4960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9c7ef (base 16) to base 9.\nAnswer: -1176260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 11:05 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - q - 3*j = -354, 0 = -4*j - 8. Suppose 2*r + 0*r = q. Solve -r = -5*n - 5*s, 5 = 3*s - 2*s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 361 - 131. Let s = m + -227. Solve -24 = -s*k - 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04377 rounded to three dps?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3577)\/(-8855) - 10\/(-115). Let w = n + 6\/55. What is the closest to 17 in -3, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - a**2 - 5*a - 5. Give d(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3397750 divided by 14?\nAnswer: 1698875\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5) + (-2)\/(-20)*-11206. Let a = g + 2114. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 35*y**2 - 5*y + 6. Let d be c(2). Suppose -2*x + d = 86. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -213250134.2000189 - -213250143. Let o = -8.8 + m. What is o rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69 * -4.7275\nAnswer: -326.1975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 12*b + 9. What is x(-5)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-29)\/2)\/(1\/(-6)). Let p = w + -26. Calculate the remainder when p is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*h = -82, -40 = -2*l - 2*h - 6. Suppose 5*w = -l + 21. Let q be (-2)\/(-4) - (-3)\/30. What is the nearest to w in 2, q, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*f**2*m + 3*f**2*n - 18*f**2 + 1981*f*m*n - 3*f*n + 136*m**3 + 8828*n + 6 wrt m.\nAnswer: -6*f**2 + 1981*f*n + 408*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 60, 152, 306, 522, 800, 1140?\n\"Answer: 31*a**2 - a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20252 (base 8) to base 7.\nAnswer: 33244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.00025 - 21. Round j to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence baa when three letters picked without replacement from {b: 2, a: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1894310?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 m, and 1 x when three letters picked without replacement from {x: 15, l: 3, m: 2}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 92. Suppose -5*f - j = 88. List the prime factors of 117\/5 - f\/60.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {s: 1, n: 1, r: 2, t: 1, e: 1, h: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*a**3 - 9468 + 9468.\nAnswer: 187*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d - 1 - 1 - 2*d + (4 + 3 - 5)*(3*d - 4*d + 2*d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -346 - -639. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*a**3 + 51*a**3 - 145*a**3 + 45*a**3 + 34*a**3.\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 794*q + 157609.\nAnswer: (q + 397)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -79867, -5, 1\/8, -2\/37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 335818 (base 10) to base 11\nAnswer: 20a33a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 837775*z**2 - 77498*z + 3 wrt z.\nAnswer: 1675550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -328843*-0.5.\nAnswer: 164421.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 4*g**2 + 6*g - 2. Suppose -3*a - 28 = -5*z, -z + 5*a = -6*z + 20. Let x be y(z). Calculate the least common multiple of 7 and x\/2*8\/36*57.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 1. Let u = 17999\/2 + -8705. Let g = -296 + u. Put g, -6, l in increasing order.\nAnswer: -6, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88378.\nAnswer: 2, 44189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 1220?\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/8 and -53\/64558.\nAnswer: 258232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4657 + 102*t**3 + 4657)*(13 + 0 + 30 + 9)*(-1 + 3 + 2).\nAnswer: 21216*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**3 - 15*m + 40*m - 12*m**3 + 28*m + 8*m**3.\nAnswer: 8*m**3 + 53*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.3 + 0.5. Let j = 1.3 + v. Let f = -1 + j. Round f to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 47*l + 503. Is 23 a factor of h(47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 765824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 37*l**2 - 146*l + 43. Let o be q(8). What is the highest common divisor of 452 and o?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01908 rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -108*6\/45*160\/(-3) is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -4c04?\nAnswer: 4c00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 6*c**2 + 3. Let b be ((-12)\/10)\/(4\/(-20)). Let i be g(b). Suppose i*m = 8*m + 5. Which is bigger: m or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 4*l**2 - 3*l + 3. Let c be f(3). Let o be 2 + (-9)\/c - -158. Let j = o - 73. What is the greatest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5134262*s**3 - 9498018*s**2?\nAnswer: 30805572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**5\/5 + 89*h**4\/4 + h**3\/3 + 1573*h + 1262. Find the third derivative of x(d) wrt d.\nAnswer: -24*d + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2770464968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 423117, 423103, 423089, 423075, 423061?\n\"Answer: -14*u + 423131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 184*o**4 - 19923*o**2 + 19923*o**2 + (-o + 0 + 0)*(0*o**3 - 3*o**3 + 0*o**3).\nAnswer: 187*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (-15 + (8 + 23 - 9))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 5, 0.2, 0.5, 7, 0.1, 170.16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*k**2 + 8561*k**2 + 4347*k**2 - 6*k**3.\nAnswer: -6*k**3 + 12606*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -n - 3*c, 0 = -3*n + 2*n + 2*c + 3. Suppose n*a = -3*i - 11, -2*i = 2*a - 1 + 3. Solve -4*s = -i*s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7 + 2*n**4 + n**3 - n**3 + 2 wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5*j + 33, -j - 21 = -m + 20. Solve 23*b + 55 = m*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 188*r**3 + 324*r**2 - 317*r**2 - 164*r**3 + (-2*r + 3 - 3)*(r**2 + 0*r**2 - 2*r**2) - 6*r**3 - r**3 + 3*r**3.\nAnswer: 22*r**3 + 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 29452 and 0.42.\nAnswer: 12369.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 374476966 to the power of 1\/2, to the nearest integer?\nAnswer: 19351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 1, w: 3, t: 2, h: 3}. Give prob of sequence br.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6101 - 4.3899. Which is the third smallest value? (a) -5\/2 (b) 1\/15 (c) g (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (147\/98)\/((-6)\/20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3304 + -9911\/3. Which is the third biggest value? (a) x (b) 2 (c) 1\/9 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/(-14))\/(4\/(-32)). Let s(r) = -r**3 + 11*r**2 - 6*r + 4. Let q(f) = 2*f**3 - 12*f**2 + 7*f - 3. Let c(g) = t*q(g) + 3*s(g). What is o in c(o) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 s, and 1 y when four letters picked without replacement from {z: 2, y: 1, e: 4, s: 2, k: 2, u: 1}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926362149 to the power of 1\/3, to the nearest integer?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**2 + 13*n + 43. Let d(o) = 12*o**2 + 27*o + 87. Let i(j) = -6*d(j) + 14*z(j). Find the first derivative of i(r) wrt r.\nAnswer: -4*r + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 22. What is the least common multiple of 1*(1 - -1) + r and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 8:09 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**6\/120 + q**5\/4 - 17*q**4\/24 - 3*q**3\/2 + 4*q**2. What is the remainder when 18 is divided by g(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(117)*1.\nAnswer: -5 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoons. What is prob of picking 1 y and 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9006?\nAnswer: 2, 3, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0*x + 2*x + 178, 5*v = -4*x - 445. Let d = 31 - v. Suppose 5*s - 62 - 58 = 0. Calculate the greatest common factor of s and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 1)*(14*l**2 - 16*l**2 - 31*l**2) as t*l**2 + k + u*l and give t.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -1387110 and -1387110 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 47*d - 9. Give h(-5).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/390 and 179\/2184.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 1968?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 40016, 40090, 40214, 40388, 40612, 40886?\n\"Answer: 25*k**2 - k + 39992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427152781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52896 times 7?\nAnswer: 370272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6972134 at least 6972136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 2*k**2 - 4*k**2)*(0 + 5 - 3 + (1 + 1 - 4)*(1 + 3 - 1))*(2*k - 2*k - k).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*g**4 - 68*g**4 + 6*g**4)*(g + 0*g + g) + (-g**3 - 3*g**2 + 3*g**2)*(-g**2 + 2*g**2 + g**2).\nAnswer: -62*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -123032 (base 4) in base 13?\nAnswer: -a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*m - 112 = 0. Suppose -19 + 5 = -7*i. Suppose -4*x = i*t - 8, 2*x - 2*t = x + 2. Calculate the greatest common factor of m and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from dqjjqjqqd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**2 + 8*x + 2 - 3 - x**3 + 2. Let g = -1 + 7. What is s(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17897.\nAnswer: 11, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 1:09 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4173432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1388514741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 5:35 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 912492 and 3751356.\nAnswer: 33762204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.021 in -16, 4\/5, 0.5, 1\/4, 2317?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6798.11 days?\nAnswer: 587356704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9821.079 months?\nAnswer: 818.42325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**4 + 3*j**3 - j**4 - j**3)*(4*j + 4*j - 4*j) + (-2*j**4 - 2*j**4 - 3*j**4)*(-2*j + 0 + 0).\nAnswer: 10*j**5 + 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 25.35217, 48\/7, -4\/5 in descending order.\nAnswer: 25.35217, 48\/7, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12913, 25798, 38687, 51580?\nAnswer: 64477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**6\/120 + u**5\/6 + 25*u**4\/24 + 4*u**3\/3 - 37*u**2. What is the hundreds digit of c(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 140*v**3 - 4*v**2 + 41*v - 38. Let c be d(1). What is the highest common divisor of 13483 and c?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -186 + 156.5. Let a = 38 + g. What is a rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 5*q + 13. Let k be l(-7). Is k\/((-2)\/(-4652)*-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 3*d - 3*d)*(0 + 2 - 1) - d + 3*d + 2*d + d + d + d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 35*m**2. Let f(b) be the second derivative of 103*b**3\/6 - 4582*b. What is f(t(o))?\nAnswer: 3605*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5\/8)\/m)**(-11)\/(m*m\/(m\/(m*m**(26\/9))*m*m)*m**44))**25 assuming m is positive.\nAnswer: m**(-52225\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p = -6*q - 36*p + 50, -23 = -5*q - p. Let n(w) be the first derivative of q*w + w**2 - 2*w**3 + 24 - 1\/2*w**4. Determine c so that n(c) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 at most as big as -39\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77236761 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4 - 7*q**3 + 1355*q + 2 - 1354*q. Is k(-2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6 = 66. Let j be 10\/u - 17\/(-3). Suppose -98 = -3*t - j*c, -4*c - 9 = -3*t + 80. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 67*j**2 + 2. Let i(s) = 2*s**2. Determine h(i(m)).\nAnswer: 268*m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -0.5 (b) -1212 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, -5\/2, 16.9 in increasing order.\nAnswer: -9, -5\/2, -1, 16.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqql when four letters picked without replacement from {q: 3, l: 7, i: 3}?\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 196596 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 18558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.7 + 37.3. Let p = h + -31. Let a be ((-31)\/2)\/((-5)\/10). What is the third smallest value in p, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 153 + 153.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (0 - (1 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1590\/100 + 7 + (-1)\/(-10). Suppose -200 = -p - 3*p. Let v = p - t. Solve -4*m + 26 = -5*n - 5*m, 2*m + v = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/((-252)\/(-3)))\/(1\/8). Let p = 5.9 - 6. Put p, n, 2\/11, 4 in descending order.\nAnswer: 4, n, 2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-9)*d)\/d**(-2\/25)*(d*d*d**(7\/6))\/(d*d**(9\/2)\/d))**(-16\/3) assuming d is positive.\nAnswer: d**(11104\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 36*q**2 + 2*q - 5. Let k be l(4). Let c = -325 + k. Suppose 2*t - c = -2*m, 9*t - 4*t - 635 = -m. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10437451, 20874897, 31312343, 41749789, 52187235, 62624681?\nAnswer: 73062127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 12) to base 3\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 23*n**2 + 7. Let h be k(23). Which is the nearest to -1? (a) -0.1 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**4\/36 + n**3\/9 - 4*n**2 + 17*n. Solve d(t) = 0 for t.\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*p + 2, -s + 0 = 2*p + 3. Let r be p\/((-3)\/(-9)) - -7. What is the tens digit of (116\/5)\/(r\/25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-3 + -3)**2 + (sqrt(14) + sqrt(224))\/sqrt(2).\nAnswer: 23*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -318708 divided by -2951?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 10:59 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1116 + -2132. Let z = b - -1803. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**6\/30 - 2769*s**5\/20 + s**3\/3 + 297*s**2\/2 - 2*s + 2485. Find the second derivative of u(k) wrt k.\nAnswer: 12*k**2 - 16614*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.7 - -23.527. Let i = k - -0.16. What is i rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h + h + 1241 - 173*h**3 - 192*h**3 - h**2 + 366*h**3 to the form n*h**3 + q*h**2 + d + w*h and give d.\nAnswer: 1241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4*h = 29117 - 29183, 0 = 4*g - 4*h - 56 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3, -3, -2, -401 in ascending order.\nAnswer: -401, -3, -2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/72)\/(8*(-5)\/(-30))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 1)*896\/21. Let d = 213 - o. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1883298529?\nAnswer: 7, 599, 449153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -105, -237, -385, -555, -753, -985, -1257, -1575?\n\"Answer: -n**3 - 2*n**2 - 119*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 33. What is 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 the least common multiple of 16264583 and 32529166?\nAnswer: 32529166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1098)\/366)\/(2\/12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3*c - 4 = 0, -4*c - 18 = 22*a - 27*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 + 42*x**2 + 2*x + 12. Determine z(-21).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 10. Suppose 0 = -d*m + 5*m + 10. Suppose 0 = -m*q - 13 + 43. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - o**4 + o**2 + o**3 + 3*o**4 - 3*o**4 + 2 to w + s*o + h*o**4 + t*o**3 + c*o**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*sqrt(68) + sqrt(68) + sqrt(68) - sqrt(68)) + 3)**2 + 4.\nAnswer: -288*sqrt(17) + 39181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 12*n - 5. Let g = -150 - -147. Let i(f) = f**2 + 11*f + 4. Let o(u) = g*i(u) - 2*w(u). Give o(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + -2. Let t be (0 - (-32)\/u) + 2. Let b = -1.739 + 1.939. What is the nearest to b in t, -2, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 902622 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -3\/7 (b) -0.4 (c) -1281\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*t**2 - 6*t**2 + 21*t**2 + 2*t**2.\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 50288566.62 rounded to the nearest one thousand?\nAnswer: 50289000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 2 - 2)*(0*r**4 + 0*r**4 + 2*r**4) + 2*r**5 + 2*r**5 - 3*r**5 + 3*r**5 - r**3 + r**3 + (4 - 4 + 12*r**5)*(-6 + 1 + 3).\nAnswer: -22*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 33. Let s(y) = -1752*y + 306. Let q(t) = -369*t + 61. Let k(d) = 19*q(d) - 4*s(d). Calculate -2*k(n) + 5*m(n).\nAnswer: n - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 2*u - 6. Let f be s(-7). Suppose -3*j + 302 = f. Is j a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 256 + -184. Let t(d) = d**3 - 4*d**2 + 5*d - 2. Let u be t(3). Let m be (-1)\/u + (-259)\/(-28). What is the greatest common factor of y and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 6:55 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 102 = 9. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.016 - 0.016. Let p = 46 + 13. Let h = p + -58.8. Put -0.1, 1, n, h in decreasing order.\nAnswer: n, 1, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, m: 2}. Give prob of sequence mu.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2*(15\/(-2))\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 901.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -400050 to the nearest 1000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85671, 85670, 85669, 85668?\nAnswer: 85667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.22 - -2.42. Let r = -7.2089 + 0.0089. Let q = g + r. What is the closest to 0 in -1, 4, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/3 less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/17, -4, 12\/5, 0.3, -1?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -4*m**3\/3 - 27*m**2 + 5*m. Let o(i) = 4*i + 27. Let r(l) = 9*o(l) + 4*y(l). Is r(12) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*k. Let h = 10 - 11. Put h, 0.3, k in decreasing order.\nAnswer: 0.3, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, a: 17}. What is prob of picking 2 e and 2 a?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 7*t + 15. Calculate j(-14).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*b - 76 = 29, b = 2*u - 37. Calculate the highest common factor of u and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3428 - 3299. Does 43 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 49.7. Which is the third biggest value? (a) -25 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-42)*10\/((-120)\/(-9))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1662557.\nAnswer: 13, 19, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6704, 6639, 6532, 6383, 6192?\n\"Answer: -21*h**2 - 2*h + 6727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 26*u - 34. Give s(24).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**0*x))\/x**(1\/10))\/(x*x**(-1\/3))**(-6) assuming x is positive.\nAnswer: x**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -5*b + 6, 4*f + 3*b + 0 - 2 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) -1\/6 (b) -0.2 (c) 2\/7 (d) 0.13 (e) 1 (f) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 916 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - y**2 - y + 3. Let x be a(-2). Solve 1 + x = 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -263*k**3 + 27*k**2 + 21*k - 5. What is the lowest common multiple of q(-1) and 1440?\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554382307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39981601*d**3 + 151037497*d**2.\nAnswer: 239889606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -6*o + 7 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/sqrt(81))\/(sqrt(539)*2 - sqrt(539)).\nAnswer: sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 13\/12)\/(244\/(-366))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*b**2 + 4*b**2 + 160*b**3 - 159*b**3.\nAnswer: b**3 + 116*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*i**3\/7 + 11514*i**2 - 107488*i\/7 + 35832\/7.\nAnswer: 2*(i + 4479)*(3*i - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -810, -1674, -2534, -3390, -4242?\nAnswer: -5090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 - 43. Let l(c) = -7*c**3 + c**2 - 3*c - 3. Let g be l(v). Suppose -5*d = -4*d - 5. Solve -3*k + 5*k + d*q = g, -q = -3*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -78, -5?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 96530182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2928 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a + 8. Let d(y) = 1. What is -6*d(v) - h(v)?\nAnswer: 3*v - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*l**2 - 645*l - 3*l**4 + 0 - 640*l + 1275*l to the form f*l**3 + x + p*l + z*l**2 + s*l**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -17, 2\/7, -2\/3 in decreasing order.\nAnswer: 2\/7, -2\/3, -8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeesseeeee. What is prob of sequence ees?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-one quarters of a kilometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7149051 divided by 1?\nAnswer: -7149051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/11 in -0.2, 5, -343, -2, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*x - y - 13, 4*x = -3*y + 4. Solve b - 20 = -x*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/5)\/(9\/30). Let x = -0.067542 - 0.032458. Which is the nearest to -1\/3? (a) 3\/7 (b) 1\/9 (c) x (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_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: What is the remainder when 3281982 is divided by 95?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1244 - 1?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 244*a + 103 wrt a.\nAnswer: 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 81, 165, 249, 333?\n\"Answer: 84*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.079, -7, -334\/9, 9 in descending order.\nAnswer: 9, -0.079, -7, -334\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g + 3. Let q be u(3). Let x be q + -6 - (7 - 0). Let f = x - -28. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282177.\nAnswer: 3, 7, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 311719\/((-15)\/(-10) - (-3)\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**3 - 15*b**2 - 556*b - 18. Is d(-19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2578 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3 + 23938*c**2 - 215236*c - 526240 = 0. What is c?\nAnswer: -2, 11, 11960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1088)\/12)\/(-16) - (8 + -2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**3 - 3*u + 3. Let w be (-60)\/48*(-1 + -3). Suppose 1 = w*t - 4. Let f(m) = m**3 - m + 1. What is t*q(y) - 3*f(y)?\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 8:58 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*s - 20, y + 4*y - 2*s - 4 = 0. Let r be 4031\/36 + (-2)\/9. Let c = r + -111. Which is smaller: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676141 is divided by 112169.\nAnswer: 3127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + (-71)\/(-3))*(-18)\/(-12). Let -277*q**3 - a*q + 286*q**3 + 5*q**2 - 43*q**2 + 10 = 0. Calculate q.\nAnswer: -1, 2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k - 400 = 24*k. What is k rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32631434 (base 7) to base 6.\nAnswer: -140154132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + -31?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 5*p**2 + 8*p - 3. Let l be 1 - 2\/(-5)*-10. Is u(l) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*c**5 + 93906*c**4 - 9*c**3 + 537837035*c**2.\nAnswer: -1140*c**2 + 2253744*c - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 439678\/13 greater than 33821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 take away -104176693560?\nAnswer: 104176693560.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - -1 - (0 - -1). Suppose 0 = 23*t - 12*t + 15*t. Suppose -o*l - 25 = -t*l. Which is smaller: l or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2086?\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 102, 196, 326, 498, 718, 992, 1326?\n\"Answer: f**3 + 9*f**2 + 30*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -109*y**2 - 443*y + 985. Differentiate v(g) with respect to g.\nAnswer: -218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -27*w - 9. What is the hundreds digit of y(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4}. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -35652.1378 + -490.3?\nAnswer: -36142.4378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 145\/3 + -48. Let o(d) be the first derivative of v*d**6 + 0*d**2 + 2 + 3\/2*d**4 + 0*d + 2\/3*d**3 + 6\/5*d**5. Factor o(m).\nAnswer: 2*m**2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 196 - 268. What are the prime factors of ((-8)\/14)\/(g\/27468)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1254 and 12785442.\nAnswer: 140639862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(85) + sqrt(85)))\/((sqrt(75)\/sqrt(5))\/sqrt(3)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilometer in millimeters?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*n - i - 13, -152*n - i = -156*n - 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-11\/5)*c**8)**(-3) assuming c is positive.\nAnswer: c**(-87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 161 + 1243 = 0. Suppose -i - j + 266 = 0. Calculate the remainder when i is divided by 84\/5*(-10)\/(-3).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 32 - (16 + -22)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t - 2*l + 130 = 27*t, 0 = -3*l + 1 - 16 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/140*7*144?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2514 + 5337*j**2 + 5027 - 2513.\nAnswer: 5337*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 347\/5 - 70. Let z = 1 + -1. Let l = z - 1. What is the closest to -0.2 in r, 1, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from zmc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g + 6*g - 2*g. Suppose -3*f - 16 = -2*u, u + f = -2*f - 10. Let q(t) = 5*t**u - 5*t**2 + t**2. Calculate p(q(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5765734.\nAnswer: 2, 13, 103, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 66*k + 8743. Give w(132).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4062238899?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1280 divide 18564816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d = -3*o - 20775, -o = -5. What is the units digit of (-9)\/15 - d\/50?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + v + 1. Let a(q) be the second derivative of -7*q**4\/12 - 7*q**3\/6 - 2*q**2 - 16*q. Let d(o) = -a(o) - 6*c(o). Factor d(p).\nAnswer: (p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.10771 - -0.19229. Which is the third smallest value? (a) 0.6 (b) t (c) -3\/10 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(-4*sqrt(4)))**2 + (sqrt(5) + (sqrt(5) - (sqrt(5) - (4 + 1*sqrt(5)))) - sqrt(5))**2 + sqrt(5).\nAnswer: 9*sqrt(5) + 341\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 242.1 + 0.05\nAnswer: 242.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -443 - 442 + 1302 + 4322*p**2 - 417. Let m(k) = -k. Give a(m(i)).\nAnswer: 4322*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -31*q - 2055. What is u(-65)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13913770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -788*u - 1614*u + 5 - 5 + 480*u in the form n + d*u and give d.\nAnswer: -1922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/20)\/(4*(-170)\/160 + 4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**4\/3 + 6*k**2. Let m = 36 + -18. Let v(j) = -2*j. Let l(q) = m*v(q) + 4*h(q). Let z(n) = 2*n**2. Determine l(z(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75250?\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10919 - 10919 - 25*q - 160*q - 14*q.\nAnswer: -199*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282\/(-1)*(-12)\/8.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 6*l + 6. Let j be p(7). Suppose 5*b - 21 = -4*t, 2*t = -3*b + j - 0. Solve 1 = b*i - 19 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3332970517 to the power of 1\/4, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*a**2)*((2*a - 2*a + 2*a**2)*(4 - 1 - 5) + a**2 + a**2 - 5*a**2) to the form r*a**4 + u + l*a**2 + v*a + k*a**3 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17503572613.894 + 17484158312. Let b = -19414423.893999679 - j. Let c = b + 122. Round c to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.2. Let o = m - 0.2. Let b = -0.12 + -0.18. Sort b, o, 5 in increasing order.\nAnswer: b, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 8:52 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312 = 15*g + 177 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 14*o + 18. Suppose -4*c + 5*c = -3*t - 30, -t = -5*c - 70. Let u be i(c). Solve -w = -0*w - u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10735709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1660332 (base 10) to base 13.\nAnswer: -46195b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/24 - (382\/573 + -2 + (3 - 1))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7442 + 0?\nAnswer: 7442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24926 + -16781. Suppose -20*x - 1145 = -w. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*o - 16, -3*m = -3*o - 0 + 15. Let c(p) = -62*p**2 - 2*p - 7. Let j(y) = -y**2 - 1. Let b(v) = -c(v) + 6*j(v). Is b(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -745 + 740. Which is the closest to r? (a) -4 (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 93\/186*(-4 + 1 + -1). Let k = 38 - 34. Solve -t = m*t + k*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 0*z - 7\/12*z**4 - 7*z**2 + 0*z**3 + 0 + 1\/210*z**7 + 0*z**5 + 0*z**6. What is the second derivative of w(i) wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 540\/(-8) - 2\/4. Let w = 355 + t. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 - -102. Suppose -7*p + 18 = 2*m - 3*p, m + 3*p = 12. Suppose m*i + 71 - 122 = 0. Calculate the remainder when v is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 556791 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, -363, 5\/13.\nAnswer: -363, -107, 5\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -16*m. Let q be l(1). Let s be 2*4\/q*-2. Calculate the least common multiple of 1 and 0*s\/3 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 66*r**2 + 110*r - 795. What is the hundreds digit of b(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 21. Let c be a(10). Let i(r) = -23*r**2 - 1. Let v be i(1). Let t = c - v. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -328c6 + 1?\nAnswer: -328c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -10. Let x be 16\/(-56) + 130\/14. Suppose x = 3*c - 21. Solve -6*s + 2*s + 5*n - c = 0, 35 = -l*s - 5*n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 0*d**5 + 0*d**2 + 0*d + 16\/3*d**3 - 3*d**6 + 14 + 0*d**4. Find the third derivative of y(t) wrt t.\nAnswer: -1080*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32\/11 - 12\/11*f - 2\/11*f**2 = 0. What is f?\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6036 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 185 = -4*k - 5*j, 5*j = -10. Let m = k - -197. Let s(w) = 14*w. Let i(t) = 29*t. Give m*i(y) - 5*s(y).\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 4:00 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x - 2*x - x. Let j(k) = -30*k**2 - 26*k**2 + 77*k**2 - 45*k. Let y(m) = -3*m**2 + 6*m. Let q(r) = -2*j(r) - 15*y(r). What is q(g(v))?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2956.5 rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7104 is divided by 321?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -70 and 0.251?\nAnswer: -17.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 57.71174nm?\nAnswer: 0.000005771174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = -18 - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 divided by -15?\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 0 - 1\/144*c**4 + 2*c + 3\/2*c**2 - 1\/360*c**5 + 1\/18*c**3. Let p(z) be the first derivative of s(z). Factor p(k).\nAnswer: -(k - 1)*(k + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41068 and 9520?\nAnswer: 97741840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2243650915.\nAnswer: 5, 11, 40793653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 7874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 3, i: 3, w: 2, c: 3, h: 1}. Give prob of sequence wi.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4407402 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 54*x**4 + 42*x**3 - 2*x + 52*x**4 in the form q + w*x**4 + r*x**2 + y*x**3 + a*x and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 138\/8 + 3\/4. Let h be ((-446)\/(-12) + (-3)\/x)*-3. Is -109 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*a**2*q + 49*a**2 - 2*a*q + 653*q + 2 wrt a.\nAnswer: 14*a*q + 98*a - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 580*i**2 + 981*i - 980. Give x(1).\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1008) + 2 + -4 - sqrt(1008)))*-3 - (1 + sqrt(1008)*5 - ((sqrt(1008) - sqrt(1008)*2 - sqrt(1008) - sqrt(1008))*3)**2).\nAnswer: -60*sqrt(7) + 81647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 9:34 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -65\/2. Let m = 0.3 + -0.1. Let b be 1\/(-7)*2\/1. What is the closest to b in m, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -10*d - 1 - 10 + 15*d. Let p be q(3). Factor 1\/3*l - 1\/3*l**5 + 0 + 0*l**3 - 2\/3*l**2 + 2\/3*l**p.\nAnswer: -l*(l - 1)**3*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*g = 176, -r - 3*g + 377 = r. What are the prime factors of r\/7*(-8)\/(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15\/7, 3, -0.09, -17, 1\/7 in ascending order.\nAnswer: -17, -0.09, 1\/7, 15\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztt when three letters picked without replacement from {z: 2, m: 5, l: 2, t: 2, j: 1, u: 5}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*l - 3251 + 11411 + 9763 = -2615 for l.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 83380 and 7079720?\nAnswer: 77876920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -619*u + 627*u = -8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -299*t**6\/15 + 4832*t**2 + 2*t + 3272. Differentiate h(g) wrt g.\nAnswer: -2392*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (11 - 210\/(-4))*29*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -572 + 992. Let m = u + -229. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u + 3*u - 13*u - 4*u. Suppose -f + 0*f - 1 = 0. What are the prime factors of h(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/11)*z**(-5)*((((z\/z**(-5))\/z)\/z)\/z)\/z**(-1\/2))**(-1\/57) assuming z is positive.\nAnswer: z**(37\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 108 + -105. Calculate the remainder when 6 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1275*t**5 + 3511*t**2 - 3511*t**2 + (3*t**2 + 0*t**2 + 0*t**2)*(t**3 + t**3 - t**3) + 0*t**5 - t**5 + 3*t**5 - t**5 + t - t.\nAnswer: -1271*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 3) + -4 + 17\/1. Solve -2*t + a = -8*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3205544745.\nAnswer: 3, 5, 13, 1051, 15641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvggvvggtbgvgvbevv. Give prob of sequence gve.\nAnswer: 49\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19368 - -19375. What is the remainder when 6171 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 2*y + 25. Let l = -21 + y. What is the highest common divisor of l and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 3. Find the third derivative of -d**c - 6*d**3 + 2*d**3 - d**2 wrt d.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*2)\/sqrt(3) - 6*sqrt(224))\/(sqrt(8) - (sqrt(8) - 2*sqrt(8))*-3 - (sqrt(1152)*2 - sqrt(1152) - sqrt(8))).\nAnswer: 10*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.3 - 0.825.\nAnswer: -17.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 40. Let g = -26460.5 + 26460. Is x != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2568 is divided by 78?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 422 - 266. Suppose -v = -5*w - 61. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*c - c, 5*f = 2*c + 12. Suppose -458*w + 462*w = -16. Put -396, f, w in decreasing order.\nAnswer: f, w, -396","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-4)*(-2)\/(-27).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -808 (base 16) in base 8?\nAnswer: -4010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 28*v**2 - 118*v + 51. Determine j(-22).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 437606981?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/3? (a) -23 (b) 0.1 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + y. Let g(c) = 70*c**3 + 3*c**2 + 3*c. Let l(h) = 3*b(h) - g(h). What is the third derivative of l(w) wrt w?\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/44840 and 17\/20?\nAnswer: 44840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t + 41 - 22 + 47 - 10*t.\nAnswer: t + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1500 and -187\/60?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8021022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16522 and 1130800.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -2, 1.405, 1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (3 + (0 - 10) + 0 + 2 + -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(11) - sqrt(11)) + 0 + (sqrt(11) - (-2 + (sqrt(33)\/sqrt(3))**2)) + 2.\nAnswer: -8 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 35081.94 to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 715432?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eet when three letters picked without replacement from etttetttttttt.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2476, 4465, 5544, 5257, 3148, -1239, -8360, -18671?\n\"Answer: -76*w**3 + w**2 + 2518*w + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 12:58 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1\/108, 25.3, -3\/28, 0 in decreasing order.\nAnswer: 25.3, 0, -1\/108, -3\/28, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -1 - 2. Let l = 10616 - 10618. Let w = 0.1 + 0.3. Which is the closest to 0.2? (a) t (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**5\/20 + x**4\/12 + 2*x**3\/3 + 5*x**2 + 44*x. Find the second derivative of q(l) wrt l.\nAnswer: 6*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 - 83. Suppose 5*p = 17 + 8, -4*p + 1901 = h*m. What is the units digit of (8\/192*8)\/(1\/m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 + 12651*t\/4 - 114021\/2.\nAnswer: (t - 18)*(t + 12669)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3036 - -3068. Let o = 48 + -43. Calculate the lowest common multiple of m and o.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -3b?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/5? (a) -18\/7 (b) -0.4 (c) 0.5 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2. Let c(i) = 3*i**2 - 545*i + 1. Give c(h(l)).\nAnswer: 27*l**4 + 1635*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((8\/5)\/4). Let h(q) = q**3 - 3*q**2 + q + 3. Let t be h(3). Suppose 3*n + 9 = m*x, x - t*x = -2*n - 11. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {n: 2, y: 9}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/24)\/((-468303)\/(-7404))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -214 - -383. Let t = 241 - m. Calculate the remainder when t is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66\/307 + -77264\/13815. Let m = r + 28\/5. What is the third biggest value in 3, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 10:37 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (-5 + 22 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -3. Let i = -0.1 + c. Let k = 118614\/5 + -23726. What is the second biggest value in -0.3, k, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + h - 7. Let f(j) = -j**3 + 9*j - 7*j + 7 + 14*j**2 - h*j**2. Is 7 a factor of f(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -2*g + 22. Let a(q) = -28*q + 8*q + 9 + 0*q**3 - 19*q**2 - q**3 + q**2. Let z be a(g). What is the highest common divisor of z and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let h = 89 - 57. Find l, given that -h*l**4 - 4*l**2 - d*l**3 - 196*l**5 + 95*l**4 + 14*l**3 = 0.\nAnswer: -1\/4, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3050 divided by 1525.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-4) + (-1)\/(-2). Suppose 5*m - 34 = -24. Find the third derivative of -2*x**2 + x**m - 4*x**3 + 3*x**3 + 0*x**p wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298877085 divided by 85?\nAnswer: 3516201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(637) + sqrt(637)*1 + 4)**2 - ((-3 + sqrt(637) - sqrt(637))**2 + 3))*2.\nAnswer: 1344*sqrt(13) + 30624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -39. Let b(f) = f**3 + 10*f**2 + 7*f - 8. What is the remainder when m is divided by b(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146780*w**4\/17 - 264254*w**3\/17 - 234758*w**2\/17 + 352352*w\/17 - 120\/17 = 0. What is w?\nAnswer: -6\/5, 5\/14678, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 442\/267 + 1\/89. Which is the biggest value? (a) -1\/8 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48*(20\/((-3200)\/60))\/(((-9)\/10)\/3)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 756163 (base 8) in base 5?\nAnswer: 31044133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 354 = -3*d, -5*d + 469 = 3*o + o. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1484.99998691 - 1485. Round h to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -888, 3.\nAnswer: -888, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2, -3\/22, -7.3 in ascending order.\nAnswer: -7.3, -0.4, -3\/22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0116507664 to five decimal places.\nAnswer: -0.01165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/52 greater than or equal to -22\/149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 27 + 262 = 0. Suppose -3*c = 4*n - 165, -c = -79*n + 76*n - 29. Calculate the highest common factor of z and c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*10*12\/90\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -329.3 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 154721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 0. Let k(w) = -3*w + 2. Let n be k(3). Let f = l - n. Solve -4*d + 0*s - s + f = 0, 0 = -2*d + 5*s + 24 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 0.82 (c) 8 (d) -2\/13 (e) 65 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21980613 to the nearest integer?\nAnswer: 4688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2381 is divided by 637?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 295 divide 79131980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -10200 to the nearest one hundred.\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/735*(-9)\/6*14\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106958 - 42123. List the prime factors of u.\nAnswer: 5, 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*f + 13 = 20, -l - 3*f = -15. Solve k - 3*k + l*x = -12, 3*k + 12 = -3*x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 15*a - 4. Let q be v(-14). Let k be q\/(-63) - 219\/7. Let f = k - -77. What are the prime factors of f?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167 - 85. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -131\/4. Let a(m) = m**3 - 4*m**2 - 8*m + 1. Let n be a(6). Find the common denominator of 1 - 0 - n\/(-18) and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22586783 rounded to 4 dps?\nAnswer: 0.2259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(162) - sqrt(162))*-6)\/(5*((sqrt(42)*1)\/sqrt(7) - sqrt(24)\/sqrt(4)*-1)).\nAnswer: -108*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d - 4*d + 2*d - 4*d.\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 578983260 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -2. Let o(m) = 6*m**2 - m - 1. Let s be o(-2). Let j = s - c. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-21)\/(h*h**(-1)\/h))**45 assuming h is positive.\nAnswer: h**(-900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (328\/14 + -2)*7. Let l = -8300 - -8249. Let c = b + l. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3128671, -3128670, -3128669, -3128668, -3128667?\nAnswer: -3128666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*((-10)\/4)\/(-5). Suppose -n - 3*n = k. Which is the third smallest value? (a) n (b) 0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -55*6\/(-315))*(-7872)\/82\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 250071203 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-182)\/(-154) - 8\/44)\/((-2)\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2) - 1\/2. Suppose t = -3, -5*n + n - 5*t + 53 = j. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8059720 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 - 39*z + 2)*(0*z - 2*z + 3*z) to the form w*z + q*z**2 + m and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2520 and 700.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/1890*20\/(-60)?\nAnswer: 1\/162","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -222*q + 7387576 + 4173074. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101035.\nAnswer: 5, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7285458.6ns in weeks?\nAnswer: 0.0000000120460625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1614*n + 998*n**3 + 422*n**2 - 1617*n + 434*n**3 wrt n?\nAnswer: 8592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 18*z**2 + 5*z + 11. Let o(j) = -j. Let q(b) = f(b) - 2*o(b). What is the tens digit of q(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2. Let f(z) = -6 - 4 - 4*z + 6 + 0. Let y be f(-2). Sort y, 1, l in decreasing order.\nAnswer: y, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from zuzxzwzzzxuuzuzuuzwz.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 3}. What is prob of sequence ik?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by -3\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0*v = -2*v + 22, -5*i = 2*v - 25. Solve 0 = -2*m + 7 - i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -9*d**2 + 10*d + 35. Let t(r) = -28*r**2 + 32*r + 112. Let u(x) = -5*t(x) + 16*w(x). Let y(m) = -86*m. Determine u(y(b)).\nAnswer: -29584*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 1. Let v be z(1). Suppose v*u - 8 = -4*u. Let d be u\/(-5)*(0 + -15). Solve d = -q - 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*f = 15, -x + 3 = -3*f - 2. Let o be ((-4)\/(-10))\/(4\/40). What is the first derivative of 0 + x - 3 + q**o wrt q?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004930549 rounded to 7 dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25514.\nAnswer: 2, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + v**2 - v - 1. Let r(d) = -3*d**3 + 2*d**2 - 2*d - 4. Let f(a) = -3*q(a) + r(a). Determine f(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, -0.096, 1.38, -277.\nAnswer: -277, -0.096, 0.4, 1.38, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 26. Let b = -69 - -74. Which is smaller: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {y: 2, v: 3, s: 1, w: 1, x: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41 less than -1730.786845966?\nAnswer: -1731.196845966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37479884?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 10*d**2 + d - 11. Let i be v(10). Put 14, i, -3 in decreasing order.\nAnswer: 14, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*f*n*u**2 - 43*f*n + 4*f*u**3 + 2*f*u + n*u**3 - n*u**2 - 115*u wrt n?\nAnswer: -4*f*u**2 - 43*f + u**3 - u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 936 (b) 0 (c) 2 (d) 0.3 (e) 2\/5 (f) -3 (g) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*(-3*sqrt(896))\/(sqrt(35)\/(sqrt(5) - sqrt(45))))**2 + 1.\nAnswer: 18429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7157262\/(-51870) + 22\/(-1430).\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72234?\nAnswer: 2, 3, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548*u + 548*u + 2*u**2 + 23*u**3 + 0*u**2.\nAnswer: 23*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1013664.41025 + -12.\nAnswer: -1013676.41025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - p + 19 = 5*x, 35 = 5*x + p. Suppose 0 = -l - l + x. Suppose -2*a + 26 = 4*m, -l*a - a + 4*m + 9 = 0. Solve -21 = a*n - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179814, 189294, 205102, 227244, 255726, 290554?\nAnswer: 331734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11129797 + -0.0995\nAnswer: 11129796.9005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-10)\/(-2)*140\/50)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1010876256 divided by 6.\nAnswer: -168479376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(20)*-4)\/sqrt(10) - (sqrt(2) + sqrt(48)\/sqrt(6))*-6.\nAnswer: 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 7. Let h be l(5). Suppose 0*g + 6 = h*g. Suppose -g = -2*o + 4*k - 1, 0 = 3*o + k - 3. Let j(a) = -9*a - 1. Determine j(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - 150\/(-48))*76\/42. Let h = v + 13\/4. Which is the second biggest value? (a) 3 (b) h (c) 12 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 734079, 734075, 734069, 734061, 734051, 734039, 734025?\n\"Answer: -s**2 - s + 734081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9\/4)*i\/i**(-1\/6)*i**(1\/9)*i**(1\/4) assuming i is positive.\nAnswer: i**(-13\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148291, -244, 4.\nAnswer: -244, 4, 148291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4)*12\/(-9). Find the third derivative of i*n**2 + 2*n**6 + 0*n**2 - 6*n**6 + 2*n**2 wrt n.\nAnswer: -480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/24*2*10\/(-45)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*c - 32*c - 57*c)*(17 - 17 + 4*c**2 + (0*c - 3*c + 5*c)*(3 - 3 + 2*c) - 1 + 1 + c**2 - 2*c**2 + c - c).\nAnswer: -196*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w - 1. Let b be q(-2). Let l = b - -16. What is the second derivative of -7*n**5 - n - n + 10*n**5 - 5*n**l wrt n?\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifth of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1 - 47*c - 6 + 31*c**2 + 24*c + 27*c. Is a(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1 (c) 9.895\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6548 is divided by 789.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 264545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 divided by 73400?\nAnswer: -121\/73400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*2\/(-6)*1. Suppose l = -r*l + 4. Solve 0 = l*w - 7 + 23 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16265732 divided by -7?\nAnswer: 2323676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108806 by 2.\nAnswer: -54403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 1 (b) -23 (c) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10695352271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5705\/56 + (-4)\/(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-m + 2*m - 3*m)*(-4*m + 4*m + 3*m**3).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4 - 5979*m - 5975*m + 11957*m. Let n(o) = 2*o + 5. Calculate 2*n(i) - 3*y(i).\nAnswer: -5*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*j - j. Suppose j*f - 37 = 17. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40a2 (base 12) to base 9.\nAnswer: 10575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-3 - -1)*(-8)\/12. Suppose 0 = -8*q + 14 + x. Factor 19*n**2 + q + 4*n**3 - 2*n**3 - 8 - 13*n**2 - 2*n.\nAnswer: 2*(n - 1)*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -g - 98841*j + 98842*j - 1 - 3, -5*j + 60 = 5*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1068, -843, -618, -393?\n\"Answer: 225*t - 1293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70723579 divided by 3?\nAnswer: 70723579\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (368\/(-48))\/(-23)*-69?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -1. Suppose 64 = -5*f - 26. Let j be 6\/f*(2 - d). Does -1 = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41764759.\nAnswer: 41764759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + sqrt(605) + 2)**2 + sqrt(605) - (((0 + sqrt(5))**2 - sqrt(5))*2 + ((sqrt(5) + sqrt(5)*2)*-4)**2).\nAnswer: -121 - 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 4 (c) 0.5 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(4356))\/((sqrt(24)\/sqrt(6))\/sqrt(2)))\/((sqrt(18)\/(sqrt(9)\/sqrt(3)) - sqrt(726)*1) + -3*(sqrt(6) - sqrt(12)\/sqrt(2)) + sqrt(6) + 2*sqrt(726)).\nAnswer: 22*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 237959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from siggssii. Give prob of picking 3 s.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 710 a factor of 221018740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 40*w**2 - 7*w + 9. What is c(1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 6*x**2 - 7*x - 2. Let b be d(7). Let v(j) = -2*j - 9. Let w be v(-6). What is the second smallest value in 0.5, -4, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4581.4 and 9.\nAnswer: -41232.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3 - 12*h**2 - 23*h + 1 wrt h?\nAnswer: 6*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667940 >= 1667937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1333.53969356259 and 0.06.\nAnswer: -1333.47969356259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128226525 and 28020.\nAnswer: 7005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 5*q + 7. Suppose 0*a - a = 1, 5*p + 1 = -a. Suppose p = -f - 0*f + 9. Calculate the remainder when u(f) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.35479?\nAnswer: 0.141916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.143 - -100.593. Let p = z + -99.9511. Let c = p + 0.51. What is c rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + f = -345, h + 33 = 4*f - 49. Is h != -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 126 + -74. Calculate the remainder when 205 is divided by v.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000093518 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i - 20. Suppose -3*u + 4*u + 2*g + 4 = 0, 0 = -2*g + 4. Let t be l(u). What is the smallest value in -8, t, -1\/6, -0.09?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2258.6*-1.821.\nAnswer: 4112.9106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000872941494 to seven decimal places.\nAnswer: -0.0000873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.678 + -0.322. What is the second smallest value in 31.5, -14, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y - y = 28*y - 51. Put y, -2, 0.917 in ascending order.\nAnswer: -2, 0.917, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 23 = 5*u + 7, 5*t - 30 = u. Suppose -y = -3*y + q + 600, -t*y = q - 1500. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 52, -1, 2, 3 in ascending order.\nAnswer: -2, -1, 2, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/7 - 12*f**2 - 40*f - 192\/7.\nAnswer: 4*(f - 24)*(f + 1)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {b: 1, z: 9, n: 1, j: 1, t: 3, w: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {e: 1, g: 1, d: 2, x: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(600\/14) + (-1)\/(-5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - 29*n + 2. Let m(o) = o**2 - 12*o. Let g(f) = 2*a(f) - 5*m(f). Let c = -10 - -16. Determine g(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4111*i + 1605 = 4116*i. Calculate the highest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 367.8 - -3.\nAnswer: 370.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-158)\/(-18) + (-10)\/(-45). Suppose -3*k - v = 3*s, 0*s - 3*k - 14 = -2*s. Let u(z) = 3. Let h(y) = y + 4. Let m(i) = 4*h(i) - 5*u(i). Give m(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**8\/2240 - s**7\/168 - s**6\/40 + s**4\/12 + 9*s**3\/2 - 2*s**2 - 61. Let u(t) be the second derivative of o(t). Factor u(h).\nAnswer: -3*h*(h + 2)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 13*f**2 - 16*f + 30. Suppose 0 = z - 1 + 3, -3*z + 54 = 4*t. What are the prime factors of c(t)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4005 by 66.\nAnswer: -1335\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 11. Let i be -6*(-1 + 1\/m). Let s be (8 - 2)\/((-1)\/(-7)) - -2. Calculate the greatest common factor of s and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*s - 25*s**3 + 8*s)*(4 + 1 - 4)*(1 - 4 + 1) to i*s**3 + f + o*s**2 + w*s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 328*z - 1690.\nAnswer: 2*(z - 169)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/(-70))\/((-3)\/(-7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-3 - (1 + -4)) + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26205 + -236644\/9. Let m = 89 + i. Put m, 0, 3, -3 in descending order.\nAnswer: 3, m, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4066 is divided by 215?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15411?\nAnswer: 3, 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 273 = 28*v. Which is the second smallest value? (a) v (b) -12 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/5 - 10080*a**3 - 50398*a**2\/5.\nAnswer: -2*a**2*(a + 1)*(a + 25199)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*f = -13, 4*a - 4*f + 73 = 5. Let s = a + 25. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p**3 - 33268228*p*s + 56370269*s wrt p.\nAnswer: 6*p**2 - 33268228*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-78616*q**2 + 37511*q**2 + 36340*q**2)*(5 - 4 - 3) to m*q**2 + p + n*q and give m.\nAnswer: 9530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1653321542 + 15.8346673758. Let v = 0 - 16. Let m = v + w. What is m rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 36*h - 5 - 66*h + 9.\nAnswer: -30*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hicccchlrcrhccchrll. What is prob of picking 2 h?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 3:13 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13282.87007 rounded to one dp?\nAnswer: 13282.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-3)))**(-45)\/((h*h\/h**8)\/(h\/h**(-1\/13))) assuming h is positive.\nAnswer: h**(-1663\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-324)\/(-30) + 3\/15. Suppose j - 16 = -3*l, 5*j + 28 = 2*l - w. Suppose 7*f = 6*f + l. 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: What is the thousands digit of 17011?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-168)*(132\/6)\/(1\/1).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 515655 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-309)\/(-21) + 4\/14. What is the units digit of 189\/i - (-4)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) -1\/11 (c) 0.2 (d) 8623 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2054, 2\/5, -2, 1.22, -26\/7?\nAnswer: 1.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 579, 1150, 1713, 2262, 2791, 3294, 3765, 4198?\nAnswer: 4587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33805105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4181, -4604, -4991, -5330, -5609, -5816, -5939?\n\"Answer: 2*c**3 + 6*c**2 - 455*c - 3734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/35555 and -56\/18075?\nAnswer: 128531325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhh. What is prob of sequence hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Solve 4 = g + j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 82046?\nAnswer: -82037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**2 - 25*a**3 + 2*a - 6*a**4 + 4*a**4 + 20*a**3 to the form g*a**2 + s*a + i*a**3 + x + m*a**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + y**2 + 2. Let s(j) = 2*j**3 + 4*j**2 + 166. Give -4*f(p) + s(p).\nAnswer: -2*p**3 + 158","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -197752*o**2 - 1643310*o wrt o?\nAnswer: -395504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 + 55. Suppose 5*i + 11537 = 4*j + 3717, -3*j + i + 5854 = 0. Let o = 1969 - j. Calculate the remainder when p is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -23\/5 (b) 12465 (c) -4 (d) -3 (e) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 45294854 divided by -11\nAnswer: -4117714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -2.5\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 8) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -3 + 1 + sqrt(98) - (sqrt(1400)*1 - sqrt(14))\/(sqrt(343) - (sqrt(343)*-2 + sqrt(343))))*-1)**2.\nAnswer: -534*sqrt(2)\/7 + 11449\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30668 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 - 23 = -24*x. Solve -2*c = -x*y - 4 + 16, 0 = c - y + 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 474 + -1895\/4. What is the nearest to d in 4, -24, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1886 + -1304. What is the remainder when v is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.097 + -468.316589177.\nAnswer: -468.219589177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.94 (b) 0.04 (c) -0.4 (d) -0.3 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 107?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25\/8 + -739\/24. Let u = w - -27. Which is the third biggest value? (a) u (b) -3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*d + 6*m - 9*m, -3*d - m = 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1377053841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -216 - -275. Let g be (-888)\/(-228) - (a\/(-19) + 3). Let u be (3 - 0)*(-10)\/(-6). Solve -u*x + g = -16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/359076 + 718163\/3949836. Suppose 2*i = i + 5. Let d = 3 + -3.2. What is the fourth smallest value in d, i, 0.2, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Let f(w) = w**3 - 7*w**2 - 6*w - 8. Let o be f(8). Find the third derivative of 0*n**3 + m*n**3 + o*n**2 - 6*n**2 wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.16293 minutes in milliseconds?\nAnswer: 249775.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/((-550)\/25))\/(((-25)\/650)\/(1\/2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, -9, -97, -267, -543, -949, -1509?\nAnswer: -2247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -2, -5.\nAnswer: -5, -3, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/(3\/2). Let r = -2458\/7 - -351. Let d = 47\/2 + -23. Which is the smallest value? (a) d (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+-1.8821\nAnswer: 0.1179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/10 - 0)*-70. Suppose 127*j = 128*j + 155. Let a = s - j. List the prime factors of a.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4))**(2\/21)*j**(6\/5)*j**(6\/11)\/j*j)**(-2\/23) assuming j is positive.\nAnswer: j**(-3977\/26565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -989 by 1.\nAnswer: -989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 8\/38419079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 4*s + 1. What is the lowest common multiple of b(-3) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 54115.99 grams?\nAnswer: 0.05411599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35105 and 1930775.\nAnswer: 1930775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 690\/12 + (9\/(-27))\/((812\/210)\/(-29)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.40008 and -4.\nAnswer: 1.60032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 7 - (-60)\/(-18))*(-42 + -9)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.815\nAnswer: 2.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1318032 divided by -972\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 5) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmrrmrpjmmmpjjmmmr. What is prob of sequence prmj?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 - 3*j**2 + 11 - 11*j + 0*j**2 + j**2. Let z be b(9). What is the units digit of (-5)\/z + (-14)\/(-49)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*h + u - 44, 0 = -3*h + 4*u + 52. Suppose -x + 528 = 3*x. What is the greatest common divisor of x and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, s: 12, h: 2, q: 1, w: 2}. Give prob of picking 1 m, 1 h, and 1 s.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 9 = -30*m, n + 44*m = 39*m + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + -2 + 14 + -4. Suppose t = j*t - 300. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5739468.\nAnswer: 2, 3, 7, 43, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 25 = 5*r + 2*h, 5*h = -5*r + 40. Solve 3*m = -r*n - 0*m - 6, 2*n = -5*m - 19 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*303\/(-202)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2412, 7232, 12052?\n\"Answer: 4820*v - 2408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**3 + t**2 - t + 1. Let p be j(1). Let d be p\/((-2 - -4)\/(-4)). Suppose d*c - u = -4*u + 22, 2*u = -4. Solve c*z - 2*z = 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -477770 and -0.66?\nAnswer: 315328.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*k - 140, 0 = 5*r + 4*k - 17 - 153. What is the derivative of -8*a**2 - 63 + 18*a**2 - 12*a**2 + r*a**3 - 4*a**3 wrt a?\nAnswer: 78*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*j + 2*j**2 + 32*j - 16*j.\nAnswer: 2*j**2 + 36*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 153392 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0.3, 1, 0.7, 2\/67, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 86*u - 708. What is k(8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 15*r = -16. Suppose -r*m - 18348 = -16*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.31 - 0.41. What is the closest to k in 0.2, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*p - 45 - 30, 5*o + 4*p = 74. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(539) + -1*(sqrt(539) - (sqrt(539) + sqrt(539)*1 + sqrt(539)))**2).\nAnswer: -21*sqrt(11) + 6468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**3 + 6*o**3 + 692*o + 151 - 105*o.\nAnswer: -o**3 + 587*o + 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 3*g**2 - 4*g**2 + 66*g + 68 - 431.\nAnswer: -3*(g - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66712006?\nAnswer: 2, 23, 29, 43, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 882 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102626 - -102623. Let n = 1 + -1. Put 2, -4, n, o in increasing order.\nAnswer: -4, o, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i - 416 = 0. Let k(v) = 5*v + 3. Let m(z) = -84*z - 52. Let t(r) = i*k(r) + 6*m(r). Let s(j) = 0 + 355365*j + 0 - 355363*j. Calculate t(s(o)).\nAnswer: 32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 47 = 3*h + 64, 3*p - 2*h - 7 = 0. Let m(s) = 4 + s + 5*s + s**2 + 2*s**2. Let l(c) = c + 1. Give p*m(z) + 6*l(z).\nAnswer: -3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(147) + sqrt(147)*2 - sqrt(147))**2 - (5 + sqrt(147) + sqrt(147) + 4))*-5.\nAnswer: -2900 - 70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/13 (b) 1\/9 (c) -1 (d) -1\/135\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1586 * 6478.3\nAnswer: -10274583.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (7 - 5) + -10 + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**6\/40 - h**3\/2 + h**2 - 12*h. Let b(v) be the first derivative of q(v). Let a(s) = 3*s**3 - 2. What is -3*a(p) + 2*b(p)?\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 345, 1450, 3283, 5838, 9109, 13090, 17775, 23158?\n\"Answer: -n**3 + 370*n**2 + 2*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 374.73 to the nearest integer.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.98 + 0.02. Let z = -67 + w. Let s = -36.8 - z. Which is the nearest to -2? (a) s (b) -1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26332271 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7286603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -41 and 2798.\nAnswer: 2757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -80*l + 90. Let h(i) = 240*i - 298. Calculate -5*h(k) - 16*p(k).\nAnswer: 80*k + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.26 + 0.61. What is y rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2 = 14. Suppose -q + v = -0. Solve -5*f + 13 = q*d, 3*d + 3*f + 0*f - 9 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6752489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/4, 7\/8, -16 in ascending order.\nAnswer: -16, -3, 1\/4, 7\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 1948376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -15183*s + 22. Is j(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -8, -27203, 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10\/(-55) + 255\/11 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 77 = 5*z, 5*z - 16*p + 14*p = 61. Calculate the smallest common multiple of 4077 and z.\nAnswer: 4077","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4159703*o**5 + 2840*o + 305 wrt o?\nAnswer: 83194060*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68150\/1677 + -529\/13. What is the common denominator of 61\/301 and g?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3852357 a multiple of 933?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*t + 3, 0 = 2*g + 2*t - 70. Let u = g - 32. 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: Let v = 4.3 + -4. Let w = v - 0.3. Let z = -335.7 - -336. What is the nearest to -0.1 in z, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = 4*t + g, 2*t - g = 1. What is the highest common factor of t and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2477 + -3522200?\nAnswer: -3524677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1824, -1812, -1800, -1788, -1776, -1764?\n\"Answer: 12*y - 1836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16264 (base 9) to base 7.\nAnswer: 44344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 8 - 4038*t**2 - t - 183*t**2 - 4755*t**2.\nAnswer: -8976*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 13*m**2 + 23*m + 14. Let i be d(-11). Suppose -5*c = -5*w + 20, -i*w + 5*c + 12 = 3*c. Solve 27 = w*v + 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 39*b - 111. Give l(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -95, -98, -99, -98?\n\"Answer: a**2 - 6*a - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.079 times -11.2\nAnswer: 0.8848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226879 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 50 = -7*f. Let s(q) = 7*q**3 + 24*q**2 + 67*q. Let z(j) = -20*j**3 - 72*j**2 - 202*j. Let o(y) = f*z(y) - 14*s(y). Find t, given that o(t) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9 = 37. Let w = 6 + m. Let d be (2\/(-6)*0)\/w. Solve -2*f = -d*f - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 2 + (-12 - -15) - 0. Let k be -9*(0 - (-2)\/(-6)). Suppose -2*u + 4 = -3*j - 15, 0 = -u - 4*j - 7. Solve u*d = 5*g + 3*d + t, -k*d + 1 = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 7:52 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/98*(-1 + -6)*1 - 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 13, 0, 175, 11 in ascending order.\nAnswer: -5, 0, 2, 11, 13, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 20*z**2 + 52*z + 6. Let x be m(17). Let i be (-1522)\/(-6) - (-2)\/(-3). Calculate the greatest common divisor of i and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.78796 rounded to one dp?\nAnswer: -85.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5 = -3. Suppose 8*o = 12*o - b. Solve -x - 14 = -o*n, -3*x - 2 = 4*n - 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q + 10*q + 3 - 2*q + 5*q + 8*q + 2*q + (0 + 0 - 3*q)*(4 - 4 - 4) + 3 - 3 - 2*q to f*q + g and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 2:59 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 640703, 1281404, 1922105, 2562806, 3203507?\nAnswer: 3844208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 4*w + 8, 3*t - 4*w - 437317 = -437369 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**2 - 512*v + 835. Give k(-104).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8815, -33584, -74335, -131074, -203807, -292540, -397279?\n\"Answer: -l**3 - 7985*l**2 - 807*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n + 98*n - 48*n - 34272 = 0. What is the highest common divisor of n and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -600 (base 13) to base 8.\nAnswer: -1766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71832 and 15?\nAnswer: 359160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11961615 is divided by 562.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwwj when four letters picked without replacement from {w: 2, n: 1, j: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18634.97 less than -3766?\nAnswer: -22400.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7190.689g in micrograms?\nAnswer: 7190689000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 200, 404, 610, 818, 1028, 1240, 1454?\n\"Answer: c**2 + 201*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5511055 divided by 1102211\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098153?\nAnswer: 3, 7, 17431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n + 1. Let g be p(3). Let d = -16 + g. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 6:22 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3, -0.4, -0.7, -71?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2706\/21313 or -1?\nAnswer: 2706\/21313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = 2 + 124. Let a be 970\/8 - 3\/12. Let p = w - a. Calculate the greatest common divisor of 80 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50316264 divided by -4193022\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63607043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 358*t**2 + 27496*t + 42211203.\nAnswer: 716*t + 27496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**4\/6 + 3*l**3\/2 + 26*l**2 + 128*l. Let u(g) = g. Let m(s) = 4*s. Let c(f) = m(f) - 3*u(f). What is i(c(a))?\nAnswer: -4*a + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 689*a**6\/30 - a**5\/10 + 17*a**4\/6 + 3*a**2\/2 - 1067*a + 1. Find the third derivative of f(l) wrt l.\nAnswer: 16536*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161909*j = -160100*j - 45287 - 86770 for j.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 4*p**2 + 2*p**2 - 2 + 5*p**2 - p**2 - 2*p**2 + (-3*p**2 + 5*p**2 - p**2)*(-3 + 17 - 30) as w*p + o*p**2 + h and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-234)\/(-182))\/((-48)\/32).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**7\/15 + 19*g**6\/120 + 1379*g**5\/60 - 51*g**2 - 7. What is the third derivative of f(y) wrt y?\nAnswer: -336*y + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**2 + 369*g - 180*g - 189*g.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 3, 3152 in decreasing order.\nAnswer: 3152, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15488611887+-37.237\nAnswer: -15488611924.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -10. Suppose 0 = 5*m - 23 - 7. Solve k*c + 0 = m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 6*l - 48 = -8*j, -3*l - 2*l = 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.22. Let n = 0.22 + t. Put n, 4\/5, 0 in increasing order.\nAnswer: 0, n, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 + 11*g**4 - g**4)*(-8 - 12 + 16)*(4*g - 6*g - g).\nAnswer: 144*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216\/378)\/(2\/2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/7636696 and -49\/16.\nAnswer: 15273392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222572, 445311, 668050?\nAnswer: 890789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 58*q**2 + 114*q - 100. Let f be i(56). Solve f*t - 9*t + 3 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 1:59 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*i - 4*i. Suppose i*f = 12*f - 9. Factor 16*h**2 + 3*h + 2*h**3 + 2 + 6*h**f + 7*h.\nAnswer: 2*(h + 1)*(2*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*v - 6*v + 1 - 1 to a*v + p and give a.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 8*w**2 - 7*w - 7. Let l be x(7). Suppose 9 = 4*z - 3. Suppose m = z, 4*m = 2*j + 38 - 12. Is j < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2309890 divided by 230989\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 7. Let b be i(5). Which is smaller: b or 1\/10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*p + 5*a, 3*p + 2*a = -a + 27. Let i = 91 - p. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 13*x - 1. Determine s(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*(-18)\/(42\/7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 128, 260, 464, 746, 1112?\n\"Answer: b**3 + 30*b**2 + 35*b + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 3*v**2 + v - 4. Let i be -30*(1 + 2517\/(-9)). Let w be i\/36 + (-4)\/18. Let s be w\/(-56) - (-2)\/14. Calculate p(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + 1.16. Let x = 0.16 - r. Which is the biggest value? (a) -5 (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -159201*x**3 + 1636268676*x**2 - 8201845*x + 10278 = 0. Calculate x.\nAnswer: 1\/399, 10278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 59*t**2 + 938*t + 13. Give m(-16).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175880*v**2 + 175874*v**2 - 351753*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 432 = -4*m - t, -t = 4*m - 438. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -t + 14*y - 13*y, -5*y - 22 = t. What is the biggest value in -5, -1\/2, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 685205.7l to millilitres.\nAnswer: 685205700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 0 - 1\/3*b**3 + 0*b**2 - 1\/6*b**4 - 2*b. Find the second derivative of c(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c. Let m(j) be the first derivative of -31*j**3\/6 - 17*j - 198. Let f(w) be the first derivative of m(w). Give f(o(g)).\nAnswer: -31*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 311.5 + -311. What is the fourth smallest value in r, 2\/19, 6\/7, -0.2?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 16*k + 92. Determine j(30).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2022, -2061, -2172, -2391, -2754, -3297, -4056?\nAnswer: -5067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2300 (b) -0.1 (c) 0.4 (d) 3\/10 (e) -0.029\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 17512*u + 52532. Give d(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226, 227, 228, 229, 230?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5112 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -369, -378, -401, -444, -513, -614?\n\"Answer: -o**3 - o**2 + o - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 865*x - 439*x - x**3 + 45*x**2 - 7 + 3 + 2*x**3 - 428*x as s*x**3 + v*x + k + d*x**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26155199 by -7.\nAnswer: 3736457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 123*y + 39. Let d be x(-43). Let i = -3458 - d. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 + 79. Let m(o) = 11*o + 5. Let p(f) = -16*f - 8. Calculate l*m(z) + 5*p(z).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 11*f**2 + f - 10. Let d be j(11). List the prime factors of 33 + 1 + d + -2.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8213039?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 9. Let f(h) = h - 1. Let z be f(-2). Is k <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*-2 + -2 - (-2 + (sqrt(300) - sqrt(300)*-2))) + (sqrt(300) + (0 + sqrt(300) - sqrt(300))*4 - (sqrt(300) - (-2 + 1 + sqrt(300)))))*2.\nAnswer: -80*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 9. Let p = c - 0. What is the biggest value in 2\/17, -1\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -75, 2, 3\/2, -1\/43, -5?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 515 + -510. Suppose -4*g + 3*h + 24 = 0, -g - q*h = 2*g + 11. Solve 12 = 3*n + g*w, -w = n - 5*w + 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 323011046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 4*z - 48, -1176 + 1108 = -4*z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3616039g to tonnes.\nAnswer: 0.0000003616039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6 (b) 0.1 (c) -16 (d) 2136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 437741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.413 and 0.5.\nAnswer: -0.2065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -5*h**3\/3 + 3*h**2 + 5*h + 699. Calculate z(5).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26189523*0.1.\nAnswer: -2618952.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6498 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaxaaaaaaaaaaa. Give prob of sequence xa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2335, -4701, -7069, -9439, -11811, -14185, -16561?\nAnswer: -18939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 5*l - 3. Let k be b(6). Suppose 3*f - f - k*h = 13, 4*h = -4. Solve -4*r - 4*r**5 - 2 + 20*r**2 + 4 + 10*r**4 - 20*r**3 - 6*r + 2*r**f = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-1)\/(12\/1341). Let j = -109 + c. Put 3, j, -1 in descending order.\nAnswer: 3, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -3*v**2\/2 + 1. Let s(o) = o. Let b(t) = 24*t. Suppose -10*j = 3 + 7. Let l(r) = j*b(r) + 12*s(r). What is d(l(i))?\nAnswer: 36*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1520, 1 in descending order.\nAnswer: 5, 1, -1520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24.7 and -5.\nAnswer: -123.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -215*w**2 + 14*w. Let x(r) = 72*r**2 - 4*r. Determine -4*g(l) - 14*x(l).\nAnswer: -148*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*y**2 + 1821433*y - 10268794 wrt y.\nAnswer: -6*y + 1821433","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -5*a**2 + 1\/3*a**3 + 49 + 49*a. Differentiate z(w) wrt w.\nAnswer: 2*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47 - 27) + -35 + (1*8)\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a8 (base 12) to base 8.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -82, -79, -84, -103?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8999.5 - 8999. Put -4, -1404, p in decreasing order.\nAnswer: p, -4, -1404","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.932 and -0.1?\nAnswer: -0.2932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*s + 5*m, 0 = s - 13*m + 15*m + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 466 - 468 + 513*m**6 + 1109*m**2 - 2*m + 2020*m**6 wrt m.\nAnswer: 303960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 290*q - 612. Is v(109) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**1)\/b)**(-39)\/(((b*b\/b**(2\/9)*b*b)\/b)\/b**(2\/21)))**(-4\/37) assuming b is positive.\nAnswer: b**(-9152\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -4*i**2 - 800. Let o(z) = 19*z - 11. Let j(s) = 4*s - 2. Let p(h) = -11*j(h) + 2*o(h). Give c(p(d)).\nAnswer: 48*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 110 - 4 = 0. Suppose -w = 2*w - d. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**3\/7 - 356*z**2\/7 - 1476*z\/7 - 1116\/7 = 0.\nAnswer: -3, -1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 2. Let g(i) = -i**3 - 9*i**2 - 3*i + 6. Let u be g(-9). Let m(r) = -5*r**2 + 11. Let y(a) = u*k(a) + 6*m(a). Let j(p) = 5*p**2. Give j(y(h)).\nAnswer: 45*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*t + 4*t + 11 = 0, -g + 3*t = -2. Suppose -g*l + 10*l - 120 = 0. Suppose 0 = -3*v + 12 + l. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 1)*(-2 - 3 + 4)*(-6 + 6 - 2*x) to the form q*x + a and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**7\/2 + 55*l**6\/12 - 8*l**5 - 105*l**4\/4 - 45*l**3\/2 - 1010*l**2. What is r in d(r) = 0?\nAnswer: -3\/7, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3009404 nanometers in millimeters?\nAnswer: 0.0000003009404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {o: 1, z: 3, u: 5, n: 3}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/363*(-170)\/(-595).\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2709 + -1 + 40\/25*5 + -3 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1067*g + 3772. Determine c(6).\nAnswer: -2630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (235 - 276) + (-3 - -14).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2136 = -228*w - 1968 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 9*i - 7 = 0. What is the remainder when 39 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6672.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z - 4, r - 3*z - 9 = 0. Let q = -9 - -33. What is the highest common divisor of q and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**3 - 7*c**2 + 8*c. Let h(n) = 2*n**3 + 5*n**2 - 5*n. Let a(k) = 5*d(k) + 8*h(k). What is the third derivative of a(x) wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15766975*l**3 - 30183576.\nAnswer: -47300925*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -449 from 17.\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(800))**2 + (-2 + sqrt(4)\/sqrt(2) - sqrt(2)) + (sqrt(32))**2 + 2)*-6*-1.\nAnswer: 4992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(4\/18) - (101 - 110). Solve 339*m - 348*m - 45 = w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1\/2 (c) -8.17 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 3*x**2 - 5*x + 2. Suppose 0 = -7*d + 42 - 14. What is t(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - j - 1 + 0)*((-5 - 5 + 6)*(1 + 2 - 5) - 1 - 2 + 1 + (-4 + 2 - 1)*(-10 + 17 + 16)*(-4 + 3 - 1)) as l*j + m and give l.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + u - 3*u)*(-4*u**3 + 5*u**3 + 0*u**3 + (-u**2 + 0*u**2 + 3*u**2)*(3*u - 5*u + 5*u)) to the form o*u**3 + l*u**2 + v*u**4 + j + z*u and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*u + 0*u - 6*u)*(-2 - 1 + 4) - u - 38 + 79 + 65)*(2*u - 1 + 1).\nAnswer: -8*u**2 + 212*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240802371 divided by -4224603.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -501, -408, -273, -102, 99, 324, 567?\n\"Answer: -i**3 + 27*i**2 + 19*i - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 5\/4 (c) -21 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30*(-5 - 3)\/24. Put d, -5, 4 in descending order.\nAnswer: 4, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 10*z**2 - 21*z + 7. Calculate m(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 747, 1491, 2237, 2985?\n\"Answer: w**2 + 741*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**3 + 5*j**3 - 8*j**3 + (-2*j + j - 5*j)*(-3*j**2 - j**2 + 2*j**2)*(-1 - 1 - 3) to s*j**2 + k + n*j**3 + l*j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6549 or -6548?\nAnswer: -6549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-5))\/(5\/10*3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Let k be f(1). Let q be (k + 0)\/4*-2. Let h = -375 - -1873\/5. Which is the second smallest value? (a) h (b) 1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*s**2 + 18*s**2 + 8*s**2)*(-2*s + 2*s - s)*(-8*s + 2*s + 0*s) to the form c + l*s**3 + u*s + w*s**2 + f*s**4 and give f.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27 + 15 + (0 - -2). Suppose 7 = -m + 18. What is the greatest common divisor of g and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -14*h**2 + 53*h - 101. Give l(2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/966*63\/7.\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 16.4. Let l = 11.273 + -11.3. Let z = 4.973 - l. What is the second biggest value in 1, z, -3, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 9*w + 15. Let p be j(-7). Let n(k) = -6*k**3 + 2*k**2 - 1. Give n(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r + 0*r - 4*r + 1 + 2*r - 1 + (-2*r + r + 4*r)*(3 - 3 - 1) + 10*r - 9*r + 5*r + (0 + 0 - 3)*(-2*r + 2*r - r) as a + y*r and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 9) to base 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36d3 + 17d?\nAnswer: 3861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 10*w - 7*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*z + 2, -3*f + 2*z + 11 = 5. Suppose 0 = -4*q - 5*o + f*o + 60, 0 = o. Solve -q*w - 20 = -10*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 961\/9 + -107. Let l = 3 + -3. Which is the nearest to l? (a) u (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**10\/80640 - y**9\/1920 - 11*y**8\/8960 + 29*y**4\/8 + 3*y**2 + 13*y. Let c(s) be the second derivative of q(s). Factor c(m).\nAnswer: 3*m**3*(m - 22)*(m + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p - 30. Suppose 1405*n = 1414*n + 72. Give j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18999.4362 rounded to 0 dps?\nAnswer: -18999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 50 = -2*t, -576*t = -581*t + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - q + 0)*(-11829*q + 10054*q + 7176*q + 26493*q + 17633*q).\nAnswer: -49527*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -44572906 - 0\nAnswer: -44572906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**9*o**(2\/9)\/o)\/(o**(-13)*o*o*o*o**(-2\/11)))**(1\/11) assuming o is positive.\nAnswer: o**(1822\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 560\/(-32)*12\/(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**2 - 12*z - 2. Let b be u(-8). Let v(a) = 3*a**2 - b*a**2 + 0*a**2. Let d(h) = 5*h**2. Give v(d(c)).\nAnswer: -25*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -256 and 3?\nAnswer: -768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-2) - (-2)\/(4 + -5)*2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387.38 rounded to 0 dps?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 56*z - 114. Let l be i(-54). Let j(u) = u**3 + 4*u + 6. Let h(y) = 2*y**3 + 9*y + 12. Determine l*h(c) + 13*j(c).\nAnswer: c**3 - 2*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 25 = -5*a, -13*j + 22*j = -a + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/33)\/((-342)\/513).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (((1 + sqrt(1377))*2 + sqrt(1377) - sqrt(1377)) + 5 - -3*sqrt(1377)*2*-2)**2*-4)*-6.\nAnswer: -30240*sqrt(17) + 3305976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 879 = 4*t - t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*-1*2\/(7 - 1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1333.8 (b) -5 (c) -3 (d) -0.659\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-27)*-1*-1*(-2)\/(-7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3168)\/(-51) - 4\/34. What is the highest common divisor of 186 and y?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -8390310\nAnswer: -33561240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041075125 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 19210*i**2 - 3*i - 3. Let h be q(-1). Suppose 7*p = h + 2469. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428 - 196 - 219 + 7091*q**2.\nAnswer: 7091*q**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2965 = 5*a - 0*a. Let k = a - -910. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*m**3 - 6374*m + 2604029.\nAnswer: -78*m**2 - 6374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 - 5. Let r(d) be the first derivative of -5*d**4\/4 + 8*d + 5. Determine 8*h(z) + 5*r(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36098 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 346 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -434694 + 434694 + 1065*g as y + p*g and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391313?\nAnswer: 13, 31, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 6*u**2 - 27*u - 31. Let m = -148 + 132. Is k(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-6) - 0)\/(8 + (-663)\/34)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(847) - (4 + sqrt(847)*-1)))*-4 - (-6*-5*sqrt(847) - (5 + (sqrt(847) - (-4 + sqrt(847))))))**2.\nAnswer: -34276*sqrt(7) + 1224749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102189 divided by 3?\nAnswer: 34063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/18598 and 13\/341875.\nAnswer: 11623750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17102 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -404, -3, 0, -4, 1, 76 in descending order.\nAnswer: 76, 1, 0, -2, -3, -4, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s + 68*s = -64*s - 4700 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -618709 - 3442556?\nAnswer: -4061265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**5\/60 - 7*w**4\/24 - 2*w**3 - 16*w**2. Let v be y(-4). Suppose 5*h + 4*u = 199, u - 211 = -5*h - v*u. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*w - 518, 5*g = 4*w - 6*w + 820. What is the lowest common multiple of 31 and g?\nAnswer: 5146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b - 2. Let n(p) = -3*p - 3. Let w(u) = 4*c(u) - 3*n(u). Let v(z) = 3*z**2 - 6*z - 6. Determine -v(l) - 6*w(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -244*l + 30. Suppose 24*r - 21 + 45 = 0. Is h(r) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1311 - -103111?\nAnswer: 101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3.2. What is the nearest to -2 in -4, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/3 - 8*f**3\/3 - 31*f**2\/3 - 22*f\/3.\nAnswer: f*(f - 11)*(f + 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005357 to seven dps.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 15690 in descending order.\nAnswer: 15690, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 296\/17, -2\/9, 0.5?\nAnswer: 296\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 + 0.08. Let d = x + -1.04. Let m = -264.6 - -265. Is d smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147939, 147941, 147943, 147945?\nAnswer: 147947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -148 + 213. Suppose -4*h + 0*h + 140 = 4*w, 2*h + w - n = 0. Let v = h + -11. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 - 6*o**2 + 6*o - 5. Calculate b(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:44 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + (-14)\/(-10))*-5. What are the prime factors of (u\/5)\/(1\/(-5))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v + 2. Let x(a) be the first derivative of -a**4\/2 + 2*a**3\/3 + 3*a**2\/2 + 1. Calculate the remainder when x(-2) is divided by i(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -2)\/(5 + -4). Let q(p) = -p**3 + 5*p**2 - 4*p - 5. Let f be q(4). Let h(o) = o**2 + 4. Let l(z) = 1. Determine f*l(b) + j*h(b).\nAnswer: b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*p - 140. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 139142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x - 6. Let r = -12 + 7. Let g(k) = -41*k - 43*k - 44*k + 131*k + 5. Determine r*g(c) - 4*l(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 265445455 - 1?\nAnswer: 265445454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -93 (b) 275 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/5 of a hour?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32214313*m**2*q**3 + 3*m**2*q**2 + m**2 + m*q**3 + 5*m*q - 6*m + 3*q + 895 wrt q.\nAnswer: -193285878*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42*1\/(-3)*(-1 + -71). Calculate the greatest common factor of j and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -168432 divided by 22\nAnswer: -7656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from fgsnfcfnfccffccsnggc.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 + -92. Put -12, -3, 3, q in ascending order.\nAnswer: -12, q, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19794571.\nAnswer: 709, 27919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 811 - 456. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*v - 3630 + 11556, 15852 = 4*v - 4*y. What are the prime factors of v?\nAnswer: 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*h + 213595 = 0, -3*j - 53*h + 56*h + 213600 = 0. List the prime factors of j.\nAnswer: 3, 5, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34991?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 837044953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.982443mm in centimeters?\nAnswer: 0.3982443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -10 + 19 + (-17 - 3) + 10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/2, -15, -1, 4, -0.144.\nAnswer: -15, -1, -1\/2, -0.144, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.524 in -41, 5, 0, 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-6) - (-1)\/(((-3384)\/4700)\/(3\/5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -3*3*5*(sqrt(475) + -3))**2 + -5)*5.\nAnswer: -297000*sqrt(19) + 4896470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 955*l - 2892*l - l**3 + 953*l + 24*l**2 + 968*l - 6*l**4 - l**5.\nAnswer: -l*(l - 1)**2*(l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1\/4, 719, -1\/4, -51?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, v: 12, u: 1, x: 5}. What is prob of sequence vuvs?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 865 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/6 - (-2)\/3. Let i = -79.2 - 61.8. Let r = 141.4 + i. Which is the closest to k? (a) 0 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -924, -3, 3, -1 in decreasing order.\nAnswer: 4, 3, -1, -3, -924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 155, 499, 1075, 1883?\n\"Answer: 116*m**2 - 4*m + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -90, 2, 0 in decreasing order.\nAnswer: 2, 0, -3, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17107.27 rounded to the nearest one hundred?\nAnswer: -17100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -300?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134 (base 7) to base 13.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26018 (base 9) to base 13\nAnswer: -7c82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 6*m**4 + 3*m**4 + 4*m**4 + 7*m + 6*m**2 + 4*m**3 - 3*m.\nAnswer: (m + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6165173?\nAnswer: 7, 23, 149, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 5, i: 9}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174 divided by 6.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**3 - 6*s**2 + s + 6. Let t(y) = y**3 - y**2 + 1. Give -p(m) + 6*t(m).\nAnswer: 10*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 383 + -373. Sort 0.5, o, 0 in descending order.\nAnswer: o, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d**2 + 774580 - d**4 - d**4 - 2*d**3 - 774581 - 2*d to a*d**2 + h*d**3 + o*d**4 + t + u*d and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -8607 + 38725. What is the ten thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -9*h. Let g be (-2)\/4*(-16 + h). Let u(r) = -g*r + 0*r + r**2 + 8*r. Let k(b) = -21*b. Calculate u(k(f)).\nAnswer: 441*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/12, -2\/5, 5, -3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.4 - 1.7. Let q = 0.04 + 4.96. Which is the nearest to -2? (a) q (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Let w = -2 - z. Let o = -1.1 + 2.1. What is the nearest to w in 1\/9, o, 0.5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 401931\/28 - 14357. Find the common denominator of r and (-21 + 23)*(3 - 459\/120).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.7 (b) -0.3 (c) 0.5 (d) 357\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwzz when four letters picked without replacement from zzzzzzwzw?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.29846 to two decimal places.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 158809 divided by -22687\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t - 82. Let d be n(-17). Is 74 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 0)*(10\/(-5) - 84). Let g = -89 - v. Calculate the remainder when 50 is divided by 10\/5*g\/6*-19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*x - 4*g - 136 = 70*x, -2*x + 34 = -g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18.249354 or 27?\nAnswer: 18.249354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (112 - 112 - 13*c**2)*(-10 - 4*c + 3*c + 12 - 2*c**2).\nAnswer: 26*c**4 + 13*c**3 - 26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15 + -8 - 1) + -8. Calculate the lowest common multiple of 36 and (-160)\/5*2\/(d*1).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*a = 465*a - 1860 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*-3)**2 + (sqrt(2057) - (sqrt(2057) + sqrt(2057)*-3)) + sqrt(2057).\nAnswer: 44*sqrt(17) + 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4106053378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212, 1577, 5248, 12371, 24092, 41557?\nAnswer: 65912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - 12*a**2 - 12*a**2 - 2*a**2 - 2*a**2 + 5*a**2 + (-4 + 1 + 1)*(-2*a**2 + 0*a**2 + 0*a**2) to the form u*a + c*a**2 + q and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2372202 rounded to four decimal places?\nAnswer: 0.2372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9705 = 26*i + 2165. What is the lowest common multiple of 290 and i?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 412*d - 416*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 9. Let v be z(-6). Let q(r) = r**2 - 41*r - 5 - 2*r**v + 37*r - 2*r**2. Let c be q(-2). Solve -2*i - 1 + 0 = j, -5*i - 5*j = c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 548*o**2 + 547*o**2 + 550*o**2 - 1645*o**2 + 8767*o**3.\nAnswer: 8767*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 246143 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b3 + 5?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81106 (base 9) to base 8.\nAnswer: -150070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67008?\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 11) in base 12?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06164 - -1521.06164. Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1056)\/28)\/(-8) - (-4)\/14. Suppose z*f - 859 = -3*i, 6*i = 2*f + i - 356. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 14 = -2*n. Let i(q) = q - 2. Let p be i(n). Suppose 15 = -2*h + p*h. What is the closest to 0.1 in -2\/3, -3, h?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 n, and 1 d when four letters picked without replacement from zdnzinnzztztiiz.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n, 3*c + 3*n - 15 = 5*n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8 - 50\/(10000\/(-6450))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 796 - 796 + 3*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-84)\/(-49))\/(7\/49). Solve 8*l + u = 20*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157*z**6 + 861*z**5 - 3968*z**2 + 131*z + 2.\nAnswer: -18840*z**3 + 51660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339132723.\nAnswer: 3, 23, 349, 14083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55967 - 6917.\nAnswer: -62884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87879?\nAnswer: 3, 11, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -410 + 424. Suppose i*b - 1812 = -664. Calculate the highest common divisor of b and 1312.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(86\/40 + -2). Let i(u) = u - 9. Let n be i(10). Let w be (-7)\/(14\/10)*(0 - n). What is the greatest common factor of j and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68762325 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s + 3. Suppose 6*q - 2*q + 20 = 0, 14 = -3*g - 4*q. Suppose g*w = 2*f + 14, 2*f + 2*f + 2*w + 16 = 0. List the prime factors of h(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**4 - 20*o - 2*o**2 - 23*o**3 + 22*o + 4*o**4 + 2 + 0 as w*o**3 + u*o**4 + k + a*o**2 + s*o and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*t + 62*t + 177*t + 217*t + 169*t to b*t + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 901*t + 2344 - 542 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 - h + h - 13*h**5 - 746*h**3 + 746*h**3 - 2*h**5 - 2*h**5 + 2*h**5 + (-2*h**5 - 2*h**5 + 3*h**5)*(-1 + 0 - 1) - h**5 + 0*h**4 + 0*h**4.\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22002012110220 (base 3) to base 13.\nAnswer: b74b6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -42.3 and 0.013.\nAnswer: -42.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 2. Let m be (-8)\/(-6)*(-6)\/(-4). Suppose -4*t - 52 = -m*b, b + s*t = 3*b - 48. Calculate the remainder when b is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1129137, 1128702, 1127523, 1125228, 1121445, 1115802, 1107927, 1097448?\n\"Answer: -62*j**3 - j + 1129200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/(-6) - 2) + (-673)\/(-2019). Let n = 2 + -5. Let o = 76\/333 + -2\/333. What is the nearest to n in r, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 405*w**2 - 3575*w - 75. Give f(9).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 576, 1451, 2706, 4341?\nAnswer: 6356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4349530 bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 76048440 divided by -6396?\nAnswer: -11890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-4 + 5 + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 2*l**2 + l - 5. Let c(v) = -v**3 - v**2 - v + 4. Let w(q) = -4*a(q) - 5*c(q). Let r be w(4). Solve i - r = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u - 16 = 0. Let t(x) = -3*x**2 - 96*x + 562. Let y be t(-37). Solve -2*q - u = z, y = -2*q + z - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g + 7. Is y(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0*s**2 + 16 + 6 - 2*s**2.\nAnswer: -2*s**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and 402\/179 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3\/2*a**3 + 0*a + 0 - a**2 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 905.3 - 905. What is the closest to -1 in 40, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 72*x + 1299. Let v be o(-18). Which is the closest to 0.1? (a) v (b) 4\/5 (c) -144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13390237*c - 4378282 wrt c?\nAnswer: 13390237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**2 + 1. Let a(y) = -11*y**2 - 2. Let x(m) = 6*a(m) + 13*u(m). Let v(p) = -7*p**2 + 3. Suppose 16 - 25 = 3*o. Calculate o*x(d) + v(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 39 = 2*m - 2*f, -f + 30 = 4*m. Suppose -136 = 3*n + 2*s + m, -s + 187 = -4*n. Let l = 33 - n. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44957 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 110?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 935 = 5*y + 5*n, 0 = 3*y + 3*n + 561. Let i = y - -439. List the prime factors of i.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/554634 and -145\/66925836?\nAnswer: 200777508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from enenckkcekcekikee. What is prob of sequence kk?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 - 10*n**2 - 231*n + 952. What is o(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 47*p + 88. What is the thousands digit of x(-37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -160 - -370. Is 30 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 45. Suppose -a + 6 = m. Sort -31, a, -5 in descending order.\nAnswer: a, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50743 (base 16) in base 2?\nAnswer: -1010000011101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926717019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -28*m**4\/3 - 2168*m**3 - 473804*m**2\/3 - 3412736*m + 2519040 = 0?\nAnswer: -96, -41, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*d - 6, d + 3*d + u + 2 = 0. Suppose -5*z + d*z + 515 = 0. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + i - 50. Let s(p) = 0*p**3 - p**3 - 1 - 3*p**2 + 4*p**2 + 9*p**2 + 2*p. Is s(i) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsb when three letters picked without replacement from {s: 8, b: 3}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f - 174. Suppose -31 = 2*r - r - 3*o, 2*r + 5*o + 73 = 0. Let v = r + f. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 16\/55, 3, 5, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaiaaaaaaa. What is prob of picking 2 a?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5*(sqrt(17) + sqrt(85)\/sqrt(5)) - (sqrt(1377) + -4 - sqrt(1377))) + -3)**2.\nAnswer: 40*sqrt(17) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 334810.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -4. Let s(r) = r + 6. Let n(t) = -1 - 1 + 4 - 1. Let p(v) = -6*n(v) + s(v). Calculate p(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.4. Let h = -40.6 - -62. Let l = h - 18.4. Which is the closest to 1? (a) l (b) m (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 9*w = -8. Let b be 417\/(-2)*(-2)\/3. Suppose -23 - b = -w*k. Is k a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - f**2 - 3 - 2*f**3 - 6*f + 25 - 9*f**2 = 0. What is f?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*w**4 + 18*c*w - 32*c + 1191*w**3 + 2*w**2 + 2*w - 1 wrt w?\nAnswer: -12*c*w**2 + 7146*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011 (base 3) to base 10.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + -351?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 29, 48, 73, 104?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 442 = -102. What is the common denominator of ((-1)\/n)\/((-3)\/(-294)) and -53\/10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.08 + -0.08. Let r = c + -2.99985. Round r to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 34219648 + 34219648 + 32*t**3.\nAnswer: 32*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1593*f - 247*f + 41100 + 20816 = 0 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**4\/3 + 19*r. Let x(z) be the second derivative of 0 + 0*z**2 - 4*z + 0*z**3 - 7\/12*z**4. What is g(x(m))?\nAnswer: -196*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + p - 3. What are the prime factors of l(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 677 - -2781. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7743755 and 546618.\nAnswer: 46462530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.97 smaller than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -86\/163, -2\/161, -5\/9?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4507.\nAnswer: 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -420522 divided by 3.\nAnswer: -140174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2087 < 6260\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*q = 126, u - 3*q - 55 + 11 = 0. Solve 4*i + u = -5*l, 3*i = -4*l - 2*i - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1971e (base 15) in base 10?\nAnswer: -82604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*s + y + 712, 0 = 2*s - 3*y - 268. Let m = 283 - s. Let u = -22 + m. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/1989 and 28\/1989.\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b9c + 4?\nAnswer: ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + n = -n - 22, -25 = -4*x + 5*n. Suppose -3*r - 7 = x*p, 2*r + 0*p - p = -9. What is the closest to -0.2 in 2\/3, -1\/6, r?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 433211 (base 5) to base 12\nAnswer: 869a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*h**2*y**3 - c*h**2*y + 4*c*y**3 - 2*c + 21*h**3*y**2 - h wrt h?\nAnswer: -4*c*y**3 - 2*c*y + 126*h*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**3\/4 - 727437*d**2\/4 + 1454883*d\/4 - 727443\/4 = 0 for d.\nAnswer: -242481, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 334479240 and 337?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/120 and 7\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -85, -84, -47, 38, 183?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/10)\/(-3 + 308\/105). Solve -5*f = -8*f + w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210 - 22002002201?\nAnswer: -22002011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15720*u**3 - 1012 wrt u?\nAnswer: 47160*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 888 = 4*w. Let y = w - -346. Suppose -y = 4*d - 8*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2070*p**2 + 138*p + 138. Let m(j) = 6*j**2 - j - 1. Give 138*m(t) + z(t).\nAnswer: -1242*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201327*b**4\/4 + 527369*b**3\/4 - 67164*b**2 + 9615*b - 4 = 0. Calculate b.\nAnswer: 4\/9587, 2\/7, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -664824685*k**5 - k**2 - 1544766*k.\nAnswer: -39889481100*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 2*y - y)*(-3*y**2 + y**3 + 3*y**2) + y**2 + 13 + y - 13 - y**4.\nAnswer: y**4 + y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -3. Let g(f) = 7*f**2 + 1. Let u be g(-2). Suppose -s = 5*t - u. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - c + 101. Let q(j) = -j**3 - j**2 - 6*j - 2. Suppose -6*g = 15 + 3. Calculate the remainder when b(0) is divided by q(g).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 312*p - 5. Calculate m(1).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.24474 + -53.34474. What is the smallest value in o, 3\/2, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247, -483, -709, -919, -1107?\nAnswer: -1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 9. Find the common denominator of f\/(-15) - (-662)\/(-60) and 31\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 251943867 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(72) + sqrt(72)*2 + 5)**2 + (-4*sqrt(72) - sqrt(72))*-2 + 4 + 3 + (sqrt(72) + -1 + sqrt(72) + 0)**2.\nAnswer: 216*sqrt(2) + 964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -635647230.4 and 5.\nAnswer: -635647225.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*f + 16*f - 48 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 4*c + 0*c**3 + 3\/2*c**2 - 1\/4*c**4 + 32. Is g(0) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16, 25, 48, 91, 160, 261, 400?\n\"Answer: v**3 + v**2 - v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5256058 by 63326.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1\/14 (c) -3 (d) -5 (e) 4\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33613921?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 1\/221 (c) -102 (d) -5 (e) 2\/5 (f) -1 (g) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-12)*(3 + -1 + -2). Let b(y) be the third derivative of y**4\/12 + 17*y**3\/6 + y**2. Calculate the remainder when b(m) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6626?\nAnswer: 2, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2952014.\nAnswer: 2, 13, 113539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 126.844258 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 931*z - 411*z + 2 + 1215*z)*((z - 1 + 1)*(-z + 2*z + z) - 9 - 7*z**2 + 9) to the form i*z**3 + d*z**2 + x*z + b and give i.\nAnswer: -8675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z**2. Let t(n) = 77254926*n. Determine u(t(c)).\nAnswer: -29841617956327380*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*x + 4 - 4)*(2*x - 5*x + x) - 13 - 2*x**2 - 2 + x**2)*(x + x + 5*x).\nAnswer: 21*x**3 - 105*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*g + 196*g - 87*g + 2)*(9*g - 41*g - 76*g)*(-3*g - g + 3*g).\nAnswer: 2592*g**3 + 216*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1070 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 60 + 15. Let w = 25 - d. Suppose 3 + 12 = 3*p. Solve 3*s + 2 = -5*r + 12, w = p*r + 5*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1027 + 5?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 1:58 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2867 to the nearest one hundred.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) -76 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*2*4 - sqrt(99))\/sqrt(9))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/90489 and -16\/31?\nAnswer: 90489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 13)*(-43)\/86.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123366821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from {s: 1, n: 1, f: 1, i: 2, j: 1, u: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -1715*w**3\/6 - 5*w**2\/2 - 3*w. Let n be a(-7). What is n rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.97 + 2. Let l = 5.03 - a. Let v = l + -4.9. What is the third biggest value in v, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - v**2 + v. Let n(h) = 7*h**3 - 13*h**2 + 12*h + 3. Let a(g) = n(g) - 6*y(g). Calculate a(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1887 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from {n: 4, g: 3, q: 1, r: 5, k: 1, h: 6}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(45)*-1)\/sqrt(9) + -3 + (-2 + sqrt(15)\/sqrt(3))*5)**2 + 2 + -1 + 5.\nAnswer: -104*sqrt(5) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/37889 - -6858125\/2046006. Let v be (2\/12)\/((-27)\/(-24)). Let x = v + d. Which is smaller: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15\/11 (b) 5 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + d - 3)*((2*d**2 - 3*d**2 - d**2)*(-7 - 3*d + 7) + 2*d**2 - 2*d**2 + 380*d**3).\nAnswer: 386*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00642999 rounded to 5 dps?\nAnswer: 0.00643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 + 19*u - 12. Let k be t(9). Let v = 41 + -29. Calculate the remainder when ((-1)\/k)\/(7\/231)*2 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -1\/120*w**5 + 14*w - 1\/36*w**4 + 0*w**2 + 0 + 0*w**3. Factor j(t).\nAnswer: -t**2*(t + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 4*g - 4*g)*(g - 2*g - 3*g) - 2 - 2*g**2 + 2 + (2*g**2 - 3*g**2 - g**2)*(-1 - 2 + 1).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**3 - 311 - 50*j**3 + 596 + 30*j**2 - 285 + 2*j to the form b + t*j**2 + h*j + k*j**3 and give k.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102264 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 13365453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*m = -12*m + 19329 + 17967. Calculate the highest common divisor of 1258 and m.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(-84*j - 105*j - 20*j + (2*j + 3*j - 3*j)*(-4 - 1 + 3) + 3*j - 4*j - j).\nAnswer: -215*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3*(sqrt(35) - (-1*sqrt(5040) + sqrt(5040) - sqrt(5040))))\/(sqrt(35)\/(sqrt(567)*-2)))**2.\nAnswer: 86240700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1021\/4 + 256. Sort 1\/10, 3, m, -32 in increasing order.\nAnswer: -32, 1\/10, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -687200 divided by -17180\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 70*y + 23.\nAnswer: (y - 23)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o - 5*o**2 + o**2 + o + o - 4 to the form x*o + a + g*o**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 19 = -417*c + 420*c, -4*c - 3*y + 8*y = -62 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8608576 is divided by 354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33189 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17588, -17534, -17480, -17426?\nAnswer: -17372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -43.4 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/9, -14147.2, -85 in increasing order.\nAnswer: -14147.2, -85, -2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 189414.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.8 + -25. What is the closest to 0 in -2\/7, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 940 by -4.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*sqrt(16)\/(sqrt(48)\/sqrt(6))*6.\nAnswer: -4 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*i + 21. Let h be 63\/i - 1\/4. Solve 3*p + 2*a = -3, 3 - 8 = h*p + 5*a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -16. Let r = -6 + 7. What is the nearest to z in 5\/4, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 792144706.\nAnswer: 2, 396072353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/15, -30, 3, 3\/2, 12 in increasing order.\nAnswer: -30, 4\/15, 3\/2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94221 is divided by 1723.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -25*l - 45. Let r be m(-3). Suppose -25*i = -r*i + 1630. What is the remainder when i is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/15*(-10)\/4. Solve -5*k - 15 = -5*x, -o*x + 8 = -k - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17195 + 0.0634.\nAnswer: -17194.9366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((9\/2)\/3*(-96)\/72). Solve 2*m + 13*n + 73 = h, m - 5*n - 29 + 8 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - 3*q + 5 = 7*b, 5*b - q = 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124 - -90. Let x = o - 115. Calculate the greatest common divisor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190 by -6.\nAnswer: -95\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**3\/4 + 3*j**2\/4 + 9*j\/2 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w + m = -97, 3*w + 3834*m = 3831*m - 21 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 5069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, z: 9, x: 2}. What is prob of picking 3 z?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 11:37 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -335*i + 19080. What is k(57)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 2 - (6 + -2). Let q(i) = -2*i**2 - 12*i - 1. Let x be q(l). Is x\/(2\/(-74)) + -4 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*d**4 - 426*d**3 - 12 - 245*d**4 - 458*d**2 - 134*d + 270*d**4 = 0. Calculate d.\nAnswer: -1\/3, -2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*1\/(-10) - 264\/385?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 40605*t - 81201*t - 15*t**2 + 40596*t.\nAnswer: -15*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 3*v**2 - 4*v - 3. Let g(x) = -x - 1. Let u be g(-2). Suppose -5*f + f - 20 = 0, -f + 10 = 5*s. Let p = u - s. Give t(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -15. Let k = 141 + -231. Let r = k - -91. Which is greater: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c - 3*w + 66, 0 = -3*c + 3*w + 42. Calculate the greatest common divisor of 27 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 196 + -98. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 44 = -3*z. Calculate the remainder when z is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7168\/(-10240) - (-13112)\/18960\nAnswer: -2\/237","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/284316 and -113\/580.\nAnswer: 1421580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -142951749\nAnswer: 428855247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7514?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63)\/49 + (0 - -1). Let i = 15 - 40. Let m = i - -24.8. What is the nearest to 0 in -2, q, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 7810 + 3*x - 7810 - 4*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 15*w**2 - 33*w + 21. What is the first derivative of v(k) wrt k?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, i: 2, d: 1, o: 2}. Give prob of sequence iiao.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-73*v**3 + 75*v**3 + 38*v**3)*(-4 + 5 - 3) + (0 + 3*v**3 + 0)*((0 + 0 - 2)*(0 + 2 - 1) + 0 - 2 + 1) to the form c*v + z*v**2 + q + f*v**3 and give f.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2. Let q(k) be the second derivative of 4*k**3\/3 - 4*k. Give q(v(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 438\/7 + -8308\/133. Suppose -2*f = 4 - 20. Suppose -3*a = -2*u + 12, -5*u + a - f = 3*a. Are u and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 81 (b) 2 (c) -3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 3*n - 16 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/10 + 7\/(-35). Suppose -i = c*d - 53, 34 = 5*d - 4*d - i. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 13*f - 34. Let a(n) = 12*n + 8*n - 27*n + f*n. Let d(b) = -26*b - 1. Calculate d(a(x)).\nAnswer: -26*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210967900 - 80532120 = -5*x + 5*c, 3*x - 174899988 = -3*c. What is x rounded to the nearest one million?\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -25 (b) -2\/31 (c) -2\/19 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 8*q - 2. Let f be k(-7). Let h be (6 - 80\/14) + (-9)\/7. What is the closest to 0.1 in f, -2\/11, h?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/9, 4\/5, 58, -1\/2 in descending order.\nAnswer: 58, 4\/5, -2\/9, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 2*m + 25 = 0. Let z be -3 + 2 + (0 - m). What is the derivative of 5 + c + 3*c + z - 22 wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 1.731403 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.055 - 0.855. Which is the nearest to 1? (a) r (b) 0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 17*h**2 - 21*h - 7. Let o(t) = -11*t**2 + 14*t + 5. Let m(p) = -8*o(p) - 5*y(p). Let j be ((-1)\/(-2))\/(2\/(-24)). Is m(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 176803572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4*(-5 - -5). Let c(d) be the third derivative of w - d**2 + 0*d + 1\/12*d**4 + 0*d**3 + 1\/30*d**5. Factor c(r).\nAnswer: 2*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13812\/16114)\/((-18)\/392*(-1)\/6*4).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14.47 from 9.\nAnswer: -5.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 - 38 = 4*m. Calculate the smallest common multiple of (-1 - 0)\/((-4)\/m) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001100110001000010 (base 2) in base 11?\nAnswer: -692108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z + z + 11*z.\nAnswer: 23*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, -0.4, -2\/7, 2\/3, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**6 - 191806*u**4 - 2703280*u**2.\nAnswer: -120*u**3 - 4603344*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1454 = m + 93. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 126*b - 11. Let u(w) = -3*w**2. Give f(u(y)).\nAnswer: -378*y**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 6450*u + 576888.\nAnswer: -3*(u - 86)*(u + 2236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8284 + -5600. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.008 + -23.268. Let r = -3 + 2. Which is the biggest value? (a) i (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = j + 262, 3*j + 188 + 563 = 2*q. Let u = -233 - j. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 15, -3*p + 7 + 59 = 5*m. Calculate the remainder when 66 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, j: 6}. Give prob of picking 3 j.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*r + 12*r - 4*r - 196. Which is the closest to -0.3? (a) 0.4 (b) r (c) -0.2 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*-5*sqrt(34)\/sqrt(2) + -2)**2.\nAnswer: -120*sqrt(17) + 15304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8513 * -1033.\nAnswer: 1912.3929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 218402544 by 48.\nAnswer: 4550053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1 + (-4 + 0 + 3)*(-2 + 5 + 4))*(-3 - 1 + 6)*(63*f + 55*f - 22*f).\nAnswer: -1728*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 11*h - 39 = 0. Is 2238\/13 + 3 + (-123)\/h a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -351934 or -1759671\/5?\nAnswer: -1759671\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -643383\nAnswer: -193014.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112030 (base 4) to base 15.\nAnswer: -64a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*(-9 - -8) - -26?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, s: 1, n: 1, j: 5}. What is prob of picking 1 g, 1 s, and 2 j?\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5523*a = -5537*a + 70 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/(2*sqrt(8)))\/(sqrt(18)\/sqrt(3)*-2).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 19 - 24 = 5*i, -5*i - 20 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -20100?\nAnswer: 20110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**2 + 20*l + 4. Let s be c(5). Solve 0*t - 3*t = -3*d - 3, -s*t - 1 = -3*d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 317, 341, 391, 479, 617, 817, 1091?\nAnswer: 1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 25 = 5*n, h + 4*n = -h + 22. Let c(g) = -g**3 - 6*g**2 - 4*g + 3. Let r be c(-5). What is the closest to -0.2 in 4, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwaa when four letters picked without replacement from {w: 2, a: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37736028647811 - -0.3.\nAnswer: -37736028647810.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -94\/205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -744107.5 times -0.2?\nAnswer: 148821.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m - 60. Suppose 53*z + 321 = -262. What is x(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**3 - 86530*p**2 + 1039*p - 215?\nAnswer: 18*p - 173060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 4*j**2 - 3*j + 1. Let y be v(3). Suppose 0*b + 2*b - 5*r = 5, 0 = 5*b - r - y. Solve b = -2*h + 3*t - 6, -2*t + 16 - 2 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 - 2)*(0 - 1 + 3)*(-3*y**2 + 3*y**2 + 3*y**2).\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**3 + 3*y + 4. Let u(o) = 2*o**3 - 2*o - 3. Calculate 5*i(x) + 8*u(x).\nAnswer: x**3 - x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -418349 and -11713811\/28 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - 2 - (-52 + 36) - (18 - 31).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43\/6, 1\/4, 0.9, -5 in decreasing order.\nAnswer: 0.9, 1\/4, -5, -43\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 10:50 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 101020542123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -107.846?\nAnswer: -107.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -21. Sort i, -1\/2, -2\/13.\nAnswer: -1\/2, -2\/13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02713 - -0.07287. What is the nearest to s in 0.5, -6, -14.8, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 6*k. Let p(o) = o. Let d(n) = 6*p(n) + v(n). Let z(b) be the first derivative of b**2 - 12. What is d(z(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -56800?\nAnswer: -56800.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -259\/160?\nAnswer: -259\/160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0403333 + -184.\nAnswer: -184.0403333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 15 = 5*o - 0*o, -15 = 2*t + o. Let c be (t - 0)\/5 - 3. What are the prime factors of 281\/3 + c\/6?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98156 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -3, 0, -57 in decreasing order.\nAnswer: 0, -3, -29, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*s - 3*s - 7, -3*s - 2 = 4*c. Let m be 40\/32 + s\/8. Let t(k) = 161*k**2 + 5*k - 5. Is t(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 118085.737 to the nearest 100.\nAnswer: 118100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 1210 - 2017 - 407 - 3*d + 0*d + 1219.\nAnswer: -3*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3833 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20540 - 20571. Which is the biggest value? (a) 5 (b) 0.1 (c) 3 (d) 2\/11 (e) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 26*k**2 + 47*k + 7. Let o be p(24). Let f(x) = -5*x - 46. Calculate the remainder when 310 is divided by f(o).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from nnztnenne.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40055299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6509 (base 10) to base 6.\nAnswer: -50045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -82128 (c) 4 (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -31\/3, -11, -0.4, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 3351. Calculate the common denominator of (15 + b\/(-224))\/(5\/(-28)) and (-596)\/(-18)*(-6)\/32.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwww when four letters picked without replacement from wwhwwwwhwhwwww?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44289, 44234, 44179, 44124, 44069?\nAnswer: 44014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 3*b + w, -3*b - 5*w = 0. Suppose b = 3*k - 4*k - u + 110, -u = -3*k + 342. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/5)*p\/(p\/p**(-2\/3))*p*p**(-2\/5)*p*((p*p**(-1\/4))\/p)\/p*p*(p**1\/p**(-4\/3))**(-2\/19) assuming p is positive.\nAnswer: p**(-37\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - -16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c**3 - 2*c**2 + 3*c + 4. Let t(n) be the third derivative of n**6\/120 + n**5\/60 - n**4\/24 - n**3\/6 - 10*n**2. Give -s(v) - 3*t(v).\nAnswer: 3*v**3 - v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150\/3398383 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.2 and -6537613199.\nAnswer: -6537613202.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 17 = h, h + 2*k - 8 = 3*k. Let c(t) = -4*t**h + 4*t**3 - t - 3*t**3. Let p be c(-1). Solve b + u = -7 + 3, p = -4*b - u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 7027?\nAnswer: -7031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**4\/24 + g**3\/6 - 8*g**2. Determine x(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(11)*2 + 1))**2 + 2.\nAnswer: 16*sqrt(11) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*p = 46*p - 22. Suppose 0 = 3*s - p - 98. Does 26 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t. Let q(x) = -37*x. Determine 6*p(l) - q(l).\nAnswer: 31*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 146 = 3*z, -5*v - 3*z + 171 = -z. Suppose -5*n = -2*h + 76, n + v = -2*h + 3*h. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -2*f + 114. Suppose -g = 61 - f. Suppose 2*s - 2*k - 26 = 0, -4*s + 70 = k + 4*k. Calculate the greatest common divisor of g and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13617*g - 4085*g - 20*g to r*g + j and give r.\nAnswer: 9512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 2 - 2)*(-86 + 174 - 65).\nAnswer: 69*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 9) + 22 + -7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + u + 3 + 2244*u**3 + 7*u**2 - 7 - 4.\nAnswer: 2244*u**3 + 7*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 77, 463, 1535, 3635, 7105, 12287?\n\"Answer: 57*p**3 + p**2 - 16*p + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 5618.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 15*1 - (-185 - 5492)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-82*p - 153*p - 14*p)*(4 - 3 + 0)*(-9*p + 2*p - 5*p + 4) to the form n*p + t*p**2 + a and give n.\nAnswer: -996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*3975197.\nAnswer: -477023.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) -3 (c) 10.79 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2640105?\nAnswer: 3, 5, 13, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112 or -434?\nAnswer: -434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 4*x + 2. Let a be f(-6). Let u be 30\/12*1\/a. Is u >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 24*y + 2. Let u be r(7). Suppose -5*z + 285 = -u. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/531 and -83\/10856.\nAnswer: 97704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*m + 55, -3*c - 2*c - 2*m + 98 = 0. Suppose -p = -6*p + c. Solve p*a = 5 + 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = -110*f. Let z(p) be the second derivative of -2\/105*p**6 + 0 - 1\/14*p**5 + 0*p**2 + 4*p + f*p**3 + 5\/147*p**7 + 1\/21*p**4. Solve z(b) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + s + s + 4*s as m + h*s and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (3 + 1)) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*d + 87*d = 2919. Let m = -395 - d. Put 1, 5, m, 0 in descending order.\nAnswer: m, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*d = 9, 2*n + 3*d = 5*n + 33. Let j be (-49)\/5 + 1\/(-5). Let w = n - j. Solve -w*s + 0*s = 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 682 divide 947017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -15 + (22 - 2) + -3 + -10 - -47.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*p - 379*p + 2848 = 0. What is the remainder when 32 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x. Let o(j) be the second derivative of -j**4\/6 - j. What is o(d(b))?\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 2*d + 16, 5*w = -3*d - 4 + 26. Let h be w + -9 + 1 + 0. Let k be h\/9 - 20\/(-21). Which is the nearest to k? (a) 4\/9 (b) 1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a day in minutes?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26.0809 and -0.04.\nAnswer: 1.043236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 2. Let s be l(3). Suppose -3*v + 6 = -h - 7, -4*v + 5*h = s. Let b = -2 + v. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3323961 and 1225131?\nAnswer: 4881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/160*616\/14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358406810 divided by 310.\nAnswer: -1156151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2726 and -50101?\nAnswer: 50101.2726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13.5*-0.4182\nAnswer: 5.6457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*b - 21*b = 28*b + 1260 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1058*q**4\/11 - 54924*q**3\/11 + 4782*q**2\/11 - 104*q\/11.\nAnswer: -2*q*(q + 52)*(23*q - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.29 + 0.01. Let j = 5.1 + -135.1. Let r = -135 - j. What is the nearest to 1 in -3, p, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 - 107. Suppose -3*r - 2*r + 20 = 0. Suppose -2*c + 2*m - 5 + 15 = 0, -2*c - m = -4. What is the biggest value in c, l, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8814 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -4*l**5\/15 + 8*l**3\/9 - 4*l\/3 - 36. Let p(w) = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1642 and 6077042.\nAnswer: 1642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 550453?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 1 - 11. Suppose -25 = a + 4*a, 3*a = 4*d - 27. Suppose 4*h - 110 - 6 = 2*t, 0 = -d*t - b. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.23915ml to litres.\nAnswer: 0.09923915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1115537, 2231080, 3346623, 4462166, 5577709?\nAnswer: 6693252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (339\/(-1130))\/(3\/(-10)*4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/9, 5\/4, 182 in descending order.\nAnswer: 182, 5\/4, 2\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6767 and 166953?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 85 - -2733b?\nAnswer: 273c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 336 + -3022\/9. Let w = -5 + 8. Which is the third biggest value? (a) 0.4 (b) -3\/2 (c) w (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 827*f**2 + 5*f + 4. Let q be w(-2). Suppose -240 = -5*a - 4*z + q, -z + 708 = a. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2\/1489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, -1\/9 in ascending order.\nAnswer: -1\/9, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4925 - -14421. Let v be 1\/6 - a\/(-48). What is the highest common divisor of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b + 6. Let m be v(5). Let j(d) = -236*d**2 + 2*d + 3. Let p be j(m). Let z = -15209\/4 - p. Find the common denominator of 13\/4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21654585 by -4.\nAnswer: 21654585\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185246*4.\nAnswer: -740984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**6\/120 + f**5\/15 + f**4\/8 + 7*f**3\/6 - 9*f**2. Calculate o(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16569, 21940, 27311, 32682, 38053, 43424?\nAnswer: 48795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, -13, -17, -21, -25?\n\"Answer: -4*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(17)*-1 - sqrt(272)*-6) + ((4 + sqrt(2057)*1)*3)**2*-5.\nAnswer: -93289 - 3935*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-16) - 7\/(-4). Suppose y*t - 181 - 15 = 0. Suppose -53 - 3 = -4*g. What is the highest common factor of g and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41380 is divided by 394.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egeg when four letters picked without replacement from {b: 2, e: 2, g: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g - 162 = 238. Suppose 14*t - g*t + l = -12, -5*t - 15 = 5*l. Let z(y) = -2 + 1 - 3*y + 2*y. What is z(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 41613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1854\/5 or 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/28 - 3\/(-6). Let r = -665 + 659.91. Let g = 0.09 + r. Which is the biggest value? (a) g (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = -f - f, -2*f - k = -8. Find the third derivative of -2*w**3 - w**3 + 19*w**2 - 18*w**f - w**3 wrt w.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*t + 196 + 431 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101*n + 58*n - 48*n + 2 - 1)*(2*n + n - 4*n + 13).\nAnswer: 91*n**2 - 1184*n + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.84142 + 1.877. What is c rounded to 3 decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66.7 - -199. Let x = 268 - v. Which is the smallest value? (a) x (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21110 bigger than 21144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4347\/644*38\/57\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/11? (a) -3 (b) -0.3 (c) -2\/3 (d) -48\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11695*p = -11710*p - 735 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 4:58 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 315 = u. Let w = 153 - u. Calculate the greatest common factor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 2744*r**5\/85 - 343*r**4\/34 - 56*r**3\/17 + 29*r**2\/17 - 4*r\/17 + 223. Solve j(b) = 0 for b.\nAnswer: -2\/7, 1\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 25092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 448 = 16. Suppose p*s - 5610 = 30*s. What are the prime factors of s?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**3\/6 - 2*k - 3291. Let u(f) = 4. Calculate 3*m(d) + u(d).\nAnswer: 3*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1480474, 2960936, 4441400, 5921866, 7402334, 8882804, 10363276?\n\"Answer: m**2 + 1480459*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 69755?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h + 3*h**2 - 7 - h**2 - 4*h**2 - 4*h**2. Let y(l) = -2*l**2 - 2*l - 2. What is -2*g(m) + 7*y(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9}. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 514030.7 grams to micrograms.\nAnswer: 514030700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 319053591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -125236.7419 rounded to the nearest one thousand?\nAnswer: -125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1285 divided by 257?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 4. Suppose 50 = 5*z - 4*h, -4*z - 13 = 3*h - 22. Calculate w(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86*d + 10*d**2 + 85*d + 45 - 37*d**2 wrt d.\nAnswer: -54*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -587\/9, -13.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-352))\/((-5)\/((-600)\/4)).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1\/9 (b) 0.064 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-316)\/(-20) - 15)\/(4\/(-70)). Sort 0, 2, k, -19 in increasing order.\nAnswer: -19, k, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjrrrrrjrrrjrrrrrj. Give prob of picking 1 r and 2 j.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17002 - e6?\nAnswer: -170e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 11003*w - 1684239. Determine k(151).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0, -3, 5.\nAnswer: -19, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*2*-2*(-13)\/(-52)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*(4 - 1\/(-21)*-93)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -7. Let s(f) = f**2 + 4*f - 7. Let p be s(-6). Solve w + y = p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 0*v - v + 6 - 6 - 8*v + (-3 + 2 + 3)*(2546 + 7*v - 2546))*(1 - v**3 - 1).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -0.1, -211?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11875*b + 5926*b = -5931*b - 270 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*5*(sqrt(539) + sqrt(539) + sqrt(539)*-1) + (sqrt(539) + 1)*-5 + sqrt(539)*-1 + -4)**2.\nAnswer: 3640*sqrt(11) + 364464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5 + 254*q**4 + 9758*q**3 + 108290*q**2 + 406112*q + 307328 = 0. What is q?\nAnswer: -56, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 1:31 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 156340670539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -728 + 1436. Let n = v - 712. What is the nearest to 3\/7 in n, -0.1, 1, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*r**3 - 85*r**3 + 194*r**3 + 42*r - 72*r**3 - 42*r.\nAnswer: -34*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 16*a - 6. What is u(14)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*j = -3*o + 177*j - 31, 3*j = 24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -863\/28 + 125\/4. Sort 2\/7, 1\/3, -5, m.\nAnswer: -5, 2\/7, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8476245.\nAnswer: 3, 5, 20929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, p: 4, v: 2, y: 8, c: 3}. What is prob of picking 1 y and 2 c?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -56. Is 10 a factor of (-194)\/b - 5\/20*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16041 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*o**2 + 28*o**2 - 16*o**2 + 40*o**2.\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -494 - -493.9. Let q be (0 - 1\/2)*-4. Let p be q + 0\/(-2)*1. Which is the second biggest value? (a) p (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-14) - (-18)\/14. Let s(p) = p**2 + 2*p + 5. Let n(w) be the first derivative of -w - 18. Let i(c) = q*s(c) + 4*n(c). Let i(z) = 0. Calculate z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 980*a**5 + 992*a**4 - 968*a**3 - 992*a**2 - 12*a = 0.\nAnswer: -1, -3\/245, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkdddddfkdddddnf. What is prob of picking 1 n and 1 d?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*f + 26, -2*h - f + 7 = -2*f. What are the prime factors of (h + -16)\/((-3)\/(-144)*-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160580690, -160580663, -160580618, -160580555, -160580474, -160580375?\nAnswer: -160580258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3902 + -3302. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 24*k**2 - 297*k + 1562. Give w(6).\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41.5 - 98.5. Let j = q + 128. Let k = -51 + 359\/7. Sort -5, j, k, -2.\nAnswer: j, -5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -132 + -220?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (2 + 0 + -8). Let s = x + 0. What is the units digit of (4\/s)\/((-2)\/(-33))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 8:06 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62*q**4 + 21*q**4 + 264 + 38 + 168 wrt q.\nAnswer: 332*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -303?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -239, -232, -223?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.92 + 3.02. Let d = -0.06 - g. Let b = d + 5. Are 0.3 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {d: 4, r: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 1. Let f be 2\/(-10) - j\/(-15). Suppose 4*u + 2*l - 30 = f, -3*u - 2*l + 35 = 2*u. Solve 2*m = u*g - 26, 6*m - m = 2*g - 23 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 7*y. Suppose -2*b + 0*b - 4 = y. Put 2, b, 4 in increasing order.\nAnswer: b, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1219\/3 - 406. Which is the nearest to 9? (a) 2\/7 (b) -3\/7 (c) 0.3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861 a factor of 235783593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a12a21 (base 12) to base 11.\nAnswer: 4876686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**14*t)*t)**(-5\/7) assuming t is positive.\nAnswer: t**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 25, 4, -1\/6 in decreasing order.\nAnswer: 25, 4, 0.5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**4 - 225*h**3 - 212*h - 4 wrt h.\nAnswer: 36*h**2 - 1350*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 72.7635387 from -353387.\nAnswer: -353459.7635387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9510 and 52980?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 15*o**2 - 15*o - 12. Let a be l(16). Let q be (-4 + a - 0) + 0\/2. Is -1\/6 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + b + 6 = -3, -2*u - 22 = 4*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6 + 0)*(-132)\/88?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.7? (a) -0.2 (b) 1\/6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 9 = s - 4*s, -5*b - 2*s - 6 = 0. Suppose b*q = 2*q - 84. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000035088749 to six dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 275 = 599 - 300 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + b - 8, g - 21 = 4*b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/3165114 and -38\/27?\nAnswer: 28486026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9343152 divided by 519064.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 70*y - 63. Let h(k) = -177*k + 127. Calculate -2*h(q) - 5*r(q).\nAnswer: 4*q + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33, -91, -245, -543, -1033, -1763, -2781, -4135?\n\"Answer: -8*q**3 - 2*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42205 is divided by 8432.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.016614 - 0.20520789.\nAnswer: -0.22182189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-2)\/3*(-297)\/3366.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 1 = 6. Let z(x) = x**2 + 1 - u - 2*x + 2. Suppose 3*n + 2*i = 14, -2*i - 3*i = 3*n - 26. What is z(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46669920 divided by -486145.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 13*p + 20320 = 0. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33 - 5 - (-4)\/(-1). Suppose 25 = v - 4*y, -3*v = 2*y - 9 - g. Let w = -2 + v. Solve 2 = 3*s - 10, 0 = -m + 2*s - w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1611*q - 1122 = -1633*q. Calculate the lowest common multiple of 129 and q.\nAnswer: 2193","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91\/4 + 23. Let j = 29 - 28.1. Let c = j - 0.8. What is the closest to -0.1 in f, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*c**2 + 241601 - 241601.\nAnswer: 94*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230000 (base 5) in base 3?\nAnswer: -1012120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40481 is divided by 20227.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + -15. Is g less than or equal to -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/45)\/((-20)\/60) + 1 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 3219 = 150. List the prime factors of w.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 + 89. Suppose -3*r - 5*t + 98 = 0, v*r = -t - 2*t + 149. Find the third derivative of 26*q**2 - r*q**5 + 17*q**4 - 34*q**4 + 17*q**4 wrt q.\nAnswer: -2460*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137100 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 26 - f**2 + 5 - 8 - 23. Let m(t) = -8*t**2. What is -2*m(g) + 48*s(g)?\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -450314 (base 6) in base 15?\nAnswer: -b287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {z: 6, p: 1, v: 1, n: 10, r: 1}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -b, 5*a - 4*b - 1 + 4 = 0. Is 11 a factor of -22*a\/(-4)*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20021047 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2786059?\nAnswer: 23, 29, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -53. Suppose 0 = -5*c + i + 27. Calculate the least common multiple of c and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/7)\/(18\/54). Let w = 3 - 2. What is the closest to w in v, -0.3, 1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 297118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 415597536?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + 2794\/143)\/(132\/(-156)) + 14\/55?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69577731.\nAnswer: 3, 2576953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -234 in 1, -25, 0.08?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13613 = -5*j - 4*r, 76*j = 71*j - 2*r + 13619. List the prime factors of j.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3681, -3642, -3551, -3384, -3117?\n\"Answer: 4*v**3 + 2*v**2 + 5*v - 3692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**3 - 2*x**2 + 3*x - 4. Give q(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 4)*(2*o - 6*o + 3*o - 3*o + 4*o - 5*o - 2*o + 0*o + 0*o + (-4 + 2 + 3)*(-3*o - 4*o + 5*o) - 2*o + 0*o + 0*o + 4*o + o - 3*o).\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1001122110210 (base 3) to base 2\nAnswer: -10001001101010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2329597746716160 + 9378471312752521067569\/4025790. Let y = -1\/89462 - v. Let c = y + 55\/9. What is the common denominator of c and -97\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*b, b = 2*z - b - 16. Let x = -8 + z. Let q(r) = -64*r**3 - r**2 + r + 1. Does 21 divide q(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137 + -139. Sort d, -1, 1, -3 in ascending order.\nAnswer: -3, d, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 234? (a) 3 (b) 0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1465, -7037, -35479, -93833, -192071, -340165?\nAnswer: -548087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 11:57 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by (-98)\/(-12)*2 + (-258)\/(-387).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*t + 1 = 0, -5*d + 2*t - t + 7 = 0. Let z be (-92 + -2)\/d - -4. Does -43 = z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven eighths of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/256 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2780*k**2 - 1914*k - 2 wrt k?\nAnswer: 5560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 + -132. Solve 0 = -o - 0*o + c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -50 - s - s + 47 + 7*s. Let f(x) = 11*x - 7. Determine -4*f(c) + 9*p(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4144 divided by -259?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 410 + -182. What are the prime factors of m?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p**2 - 2*p - 5. Let g = 5 + -2. Is l(g) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1824*z**2 + 1612*z**2 - 3933*z**2.\nAnswer: -497*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 19. Let f be (-2)\/s + 35\/20. Let y be ((-3)\/(-6))\/(2\/6). Which is the nearest to -1\/3? (a) -3\/4 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + s + 5*s)*(2*s**3 + 0*s**3 + s**3) as k + t*s**2 + c*s**4 + z*s**3 + n*s and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -349993 and 0.104.\nAnswer: -36399.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssty when four letters picked without replacement from yatsttttyxtttyms.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1 - 5*q + 4*q + 1. Let y(l) = 1 - 4*l**2 - 5 + 4. Determine z(y(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 696 and 10367.07.\nAnswer: 7215480.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1705 or -1701?\nAnswer: -1705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + -50 + 52 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, 0.5, 0.3, -952, -18 in descending order.\nAnswer: 0.5, 0.3, 0.09, -18, -952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.2 (b) -0.5 (c) -0.1 (d) -5 (e) 5 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 = -u + 10, 0 = -5*i. Solve 0*q - 15 = -3*q, 35 = 2*x + u*q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + 0 + sqrt(539) - sqrt(539))**2 - sqrt(44)\/(sqrt(4)*-2)) + sqrt(132)\/((sqrt(12)*-1 - sqrt(12))*-5 + sqrt(12)).\nAnswer: 13*sqrt(11)\/22 + 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 3, 8361?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*a - 396 - 1276 = 0. Calculate the greatest common factor of a and 15884.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-3\/7))\/u)**43*(u**(-4\/5)\/u)\/u**19 assuming u is positive.\nAnswer: u**(-83\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 117482765 a multiple of 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z - 1. Let b be x(-1). Suppose b*t - 8 = 22. What is the remainder when 10 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -47774581?\nAnswer: 5\/47774581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -141?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 8*q. Let o be z(-8). Suppose 7*g + 60 = -4*d + 3*g, 4*g = o. Let m = 25 + d. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - -1dfe6?\nAnswer: 1dfda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/60 and -27\/70.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyiyyyyiiyiy. What is prob of picking 3 y?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 305856 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1549?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67230 is divided by 13443.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 535\/6 - 89. Let c(g) be the second derivative of -1\/2*g**2 + 0 + g + v*g**3. Find the first derivative of c(b) wrt b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1678892 is divided by 839412.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208695 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*r - 43*r - 88*r - 2912 = 0 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3*v = -5*x, -4*x + 5*v = 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 3, -61\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.2312 + 4.3. What is q rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**3*t**2 - 235*m**3*t + 176*m**3 - 2*m wrt t?\nAnswer: -4*m**3*t - 235*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 47*b**2 + 5*b**2.\nAnswer: 52*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -0.2, 1\/2, -11, -1\/2, -2\/65, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -12. Suppose q = -4*g + r, -g + 2*r = 3*g + 4. Is -0.06 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4 = 11. Let -4*y**c + 15*y**4 + 12*y**3 - 60*y**3 - 39*y**4 - 32*y**2 = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -258 times -703\nAnswer: 181374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 11*r**5\/60 - 65*r**2. Let m(k) = k**2. Calculate m(c(j)).\nAnswer: 121*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/sqrt(4)*4 + sqrt(12)\/sqrt(2)*-2)\/(sqrt(33)\/(sqrt(11)*3*-1 + sqrt(11))))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96538.\nAnswer: 2, 13, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -29613.85804 to the nearest 10.\nAnswer: -29610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 164, 3\/8, 1, -5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 705143483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 75347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*a - 1\/3*a**5 + 56\/3*a**2 - 32\/3*a**3 + 3*a**4 + 16\/3.\nAnswer: -(a - 2)**4*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 580 - 336. Suppose -5*o + z = -726. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-26)*1 - (-56)\/26. What is the first derivative of -o*z - 17*z**3 + 37 + 18 - 15 wrt z?\nAnswer: -51*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26624.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2348, 61 in decreasing order.\nAnswer: 2348, 61, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19017201?\nAnswer: 3, 7, 905581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*z + 89*z + 104 = 0. What is the remainder when 127 is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {e: 7, o: 3, a: 1, z: 2, y: 3, h: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r + 13565 = -29471. What is the highest common divisor of 106 and r?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 418*q + 23126 + 282 for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1865873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) + 10\/8. Suppose h = -0*h - 3*o + 14, 24 = h - 2*o. Suppose 3*y + 11 = h. Solve -r - y = -m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257314140 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704175815.\nAnswer: 5, 7, 19, 151273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -109 + 15 - (-214 + -4)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 0.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11830 rounded to the nearest 100?\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -94897\/10 or -9491?\nAnswer: -94897\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237694?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6151 = -34*s + 23831. What is the common denominator of -67\/16 and (-2)\/(-8)*(6 + s\/(-168))?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-1)*2*313594\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-315)*9*(-98)\/1722?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*o**5\/2 - 243*o**4 - 1584*o**3 - 4352*o**2 - 4096*o.\nAnswer: -o*(o + 2)*(3*o + 16)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 101 = 19. Let x(d) = -2*d**3 - 14*d**2 + 52*d - 7. Let g be x(c). Is 358\/5 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(6\/7)*b\/(b*b**(-2\/5)\/b))\/(b**(-4\/3)\/(b\/b**(3\/8)*b)) assuming b is positive.\nAnswer: b**(4381\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 31.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 71 + 5?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*b - 2)*(0 - 3 + 2)*(0*b + 4*b + 0*b).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkrr when four letters picked without replacement from raakkkkkrkrarrrka.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -123*a. Let f(b) = -7*b. What is f(d(w))?\nAnswer: 861*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 15655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29981 = -30*s + 469961. List the prime factors of s.\nAnswer: 2, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(10\/(10\/(-2)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, and 2 a when four letters picked without replacement from {p: 3, a: 4, m: 1}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 30*y**5 + 85*y**4 - 810*y**3 + 580*y**2 + 780*y - 665 = 0?\nAnswer: -7, -1, 1, 19\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*o + 5*x - 9, o - 5*x = -3. Let k(y) = -8*y - y**3 - 4 - 45*y**2 + 3*y + 52*y**o. Determine k(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 473208?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 15*h**2 + h - 16. Determine s(-15).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by -40\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1 + 0*h**3 + 7*h**2 - 8*h**2 - 6*h - 7*h**2 - h**3. Let v(b) = 2*b**3 + 15*b**2 + 11*b - 2. Let x(t) = -5*p(t) - 3*v(t). Calculate x(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63397 divided by 1223?\nAnswer: 63397\/1223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 20*a**2 - 1. Let h(z) = 13*z**2. Give h(i(s)).\nAnswer: 5200*s**4 - 520*s**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*t - 10, j = 3*t + 3*j + 2. Suppose 2*r + r = -3*c + 90, 63 = t*c + r. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/196*21 + (-130)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11247194 and 95601149?\nAnswer: 191202298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 1534?\nAnswer: -1540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 9*t**2 - 11*t + 11*t to the form z + v*t**2 + c*t and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 0*u. Let q be (-1)\/(1\/1)*-1. Solve q = r - u*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231 = -27*q + 102 - 87 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 35\/10)*20. Suppose 0 = 3*p + b - 161, 0 = 2*b - 0*b - d. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 14 = c + 2*c, -4*c + 12 = 5*g. Suppose 60 = -g*s + 7*s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 + 94. Suppose 78 + q = 19*j. Solve 8*d = -44 + j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16304933 is divided by 3260986.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85144845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/94, 0.7, 0.03?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6*4)\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -88817, -88815, -88813, -88811?\n\"Answer: 2*l - 88819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 980*k**4 + 67165*k**3 + 1089290*k**2 - 2152500*k - 605160 = 0. Calculate k.\nAnswer: -246\/7, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 594221 + -7b?\nAnswer: 594173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**6\/1260 - b**5\/630 + b**4\/252 + b**3\/63 - 7*b**2\/2 + 7*b. Let p(c) be the first derivative of q(c). Factor p(k).\nAnswer: -2*(k - 1)*(k + 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 193*w**6\/60 - 3*w**4\/4 + 4*w**3\/3 + 23*w**2 + 3*w. What is the second derivative of d(i) wrt i?\nAnswer: 2316*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535052521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 - 18 + 77 + 27)*(-16*r**4 + 3*r**4 + 6*r**4).\nAnswer: -1267*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -20*u**2 - 11*u + 11. Let t(z) = -3*z - 4*z + 5 - 1 + 3*z - 7*z**2. Give -11*t(l) + 4*y(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0993 and 0.14.\nAnswer: 0.2393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**6*n)\/(n\/(n\/(n*n*n**(-11))))*(n\/n**13)\/(n*n\/(n*n\/n**(3\/4))) assuming n is positive.\nAnswer: n**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -9 - 7. Suppose q + 17 = 4*y + c*q, -5*q = 5*y - 25. Is (4\/(-12))\/(y\/(-1266)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t - 139 + 787 = 0. Suppose 0 = -27*v + 18*v + t. Solve v*r = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 7. Let n be w(-13). Let a(i) = -5*i - 5*i + n*i + 3*i. Let p(h) = -7*h. Determine p(a(j)).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 34897 = -5*c, 24*v - 28*v + 4*c = -139636. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -269031*x. Let z(f) = -533*f. Give a(z(n)).\nAnswer: 143393523*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-184)\/28 - 3 - (-52)\/91?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1190 and 1190.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 3*c**2 - 3*c + 35. Let v = -111 - -111. Let r be a(v). Solve 4*d = -3*x, -d = 4*d - 5*x + r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -169847 + -411153. What is b rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.5452 - -18.6. Round p to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2, 135\/2233, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 5:27 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s*s**(-6\/7)*s**20\/(s\/((s**12\/s*s)\/s)))**(-10\/3) assuming s is positive.\nAnswer: s**(-820\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 13 - (-1 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/8 + 11*h\/8.\nAnswer: h*(h + 11)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13982 + -13982. Let o = 348 - 405418\/1165. Which is bigger: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.34 and 0.053.\nAnswer: -0.01802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5057\/21, 4, 18 in descending order.\nAnswer: 5057\/21, 18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -12*r + 4*g + 21, 3*g + 2 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-10))\/(1\/60). Let x = -4356 - -13211\/3. Let l = x + m. Which is the closest to l? (a) 0.2 (b) 5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -21. Suppose 0 = 5*a - m - 11, 3*m + 6 = 2*a - 1. Solve -a = p*j - 27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36700*w + 36700*w - 146802*w + 36702*w + 350*w**3 + 36700*w.\nAnswer: 350*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by -12.\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.185 + 2.815. Which is the second smallest value? (a) 2 (b) x (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4810*c - 4816*c + 75462 = 0. List the prime factors of c.\nAnswer: 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -252848, -505695, -758542?\n\"Answer: -252847*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(20\/(-30)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 13*z + 186. Let n be j(-18). Suppose -5*x + 73 = -162. Let b = n - x. Is b a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - sqrt(1053)*-5)*1 - sqrt(1053).\nAnswer: 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-127 - -177) + (0 - 35) - (-1 + 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 7. Let w be (y\/(-3))\/((-30)\/18). Let i = -13126 + 13126.4. Sort w, i, 1\/2.\nAnswer: w, i, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**6\/15 - g**4\/12 - 26*g**3\/3 + 5*g**2 + 2. Differentiate d(y) wrt y.\nAnswer: 24*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1264 greater than or equal to -1264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kaaakkkkkaaaaaka. What is prob of sequence kaa?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2596 + -2594. Let a(f) be the second derivative of 2\/3*f**6 + 0 + 2*f**x - 2*f + 5*f**4 - 13\/3*f**3 - 29\/10*f**5. Find i, given that a(i) = 0.\nAnswer: 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away -0.834924?\nAnswer: 6.834924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*x - 16. List the prime factors of (3 - (-92)\/x)*2.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**2 - 4*h + 4. Let u(l) be the second derivative of l**4\/3 + l**3\/3 + l**2\/2 - 3*l. Let j be u(-1). Give z(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvpvpvppvvvp. Give prob of picking 1 p and 2 v.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) -0.4 (c) 0 (d) 3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 389461523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 48, -16289 in decreasing order.\nAnswer: 48, 0, -16289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -2, 460.\nAnswer: -2, 1, 5, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22635119.\nAnswer: 13, 1741163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (93 - 34*b - 44 - 48)*(b - 4*b**2 + 3*b**2 + 0*b**2) in the form x*b**2 + u*b**3 + q*b + r and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 38 = 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 427641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122 + -1222?\nAnswer: -10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 19140068 and 19140068 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 658 = -4*d, -267 = -3*d + 5*z + 230. Suppose -o + 36 = 3*a, -3*o + d = -9*a + 4*a. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -319705652 divided by 2?\nAnswer: -159852826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -2. Let m(l) = l**2 + 6*l + 5. Let c be m(-6). Sort -2, j, c in decreasing order.\nAnswer: c, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**3)**2 assuming p is positive.\nAnswer: p**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a - 60. Let s be m(-12). Let j be (-27200)\/s*1215\/18. Round j to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15433 divided by 5?\nAnswer: -15433\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.261 + -3.261. Let p = 41 - 475\/11. Let q = -28\/33 - p. Which is the biggest value? (a) q (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**2 + 6*n - 3. Let y be v(5). Suppose 7*u + 81 = 6*u - 4*r, -2*u - 206 = -3*r. Let z = y - u. Calculate the remainder when z is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9367 and 2430813?\nAnswer: 1339377963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, -129, -466, -927, -1506, -2197, -2994, -3891?\nAnswer: -4882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-24) - (4173\/(-9) + -1). Is o >= 466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*j + 3*h = -144, 4*j - 7*h + 4*h - 152 = 2*h for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18*244\/(-1647)*3\/(-212)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, 0.08, 1\/7, -1429 in ascending order.\nAnswer: -1429, -90, 0.08, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-16))\/(5*(117\/60)\/13).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -99?\nAnswer: -9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 142 divided by -2\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.2? (a) -2.7 (b) 1 (c) 0.1 (d) -4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 1 - 4)*(g - 3*g + 4*g)*(-890*g**3 + 36*g**3 - 3846*g**3) to t + a*g**4 + o*g + b*g**2 + q*g**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 6 - (-57 - -52)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -1 - 1) + 18. Let o = -11 + x. Calculate the remainder when 21 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600104182.\nAnswer: 2, 17, 17650123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -139*f - 552. Let m be z(-4). Which is the closest to -3\/2? (a) -6 (b) 0.4 (c) m (d) 5\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 12:39 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12, -4, -5, 3737, -3 in decreasing order.\nAnswer: 3737, 0, -3, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1 - 0) + 1)\/(17 - 16). Suppose -7*f + 231 + 63 = y. Calculate the remainder when f is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, l: 2, f: 3, u: 2, t: 2, j: 3}. Give prob of picking 1 u, 1 l, and 2 o.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 3*t - 67 = -2*t - 66, -4*k + 17 = -5*t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 13*r + 23. Is w(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -73?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 673*f**2 - 360*f**2 + 680*f**2 - 5*f**2 + 3*f**2 + f**2 + (3*f - 3*f + f**2)*(-4 + 4 + 2) as l + g*f**2 + u*f and give g.\nAnswer: 994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*p + 4*i, 2*p - 108*i = -105*i + 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1452 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 4:21 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/1719 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12986111.\nAnswer: 12986111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3838 and 0.3?\nAnswer: -1151.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59 and 27199?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**5 - 7463*j**4\/4 + 118099*j**3\/2 - 1759319*j**2\/4 - 379336*j + 121408 = 0.\nAnswer: -1897, -1, 1\/4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, o: 1, l: 2, h: 2, n: 1, k: 2}. Give prob of sequence lo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 3*q**2 + 4*q - 3. Let a be d(4). Put 2, a, 1 in decreasing order.\nAnswer: 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 11:15 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + sqrt(1900)*1)*-6)**2.\nAnswer: 1440*sqrt(19) + 68544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9138780?\nAnswer: 2, 3, 5, 7, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-10) - (-16)\/(-45)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-20)*(-12)\/9. Let p(d) = -2821*d + 2816*d + d**2 - r + 1. Determine p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 0.0557.\nAnswer: -0.6127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30482931?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 591272 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -10. Let r be b\/((-2)\/((-12)\/9)). Suppose 80 = 5*h + r*c, c + 95 = 5*h + 2*c. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**3 - 89*b**2 + 26*b - 2211. Determine x(23).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 + -80. Put -3, i, 64 in descending order.\nAnswer: 64, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -25, 7, -2, 1 in decreasing order.\nAnswer: 7, 5, 1, -2, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 18*a**2 - 34*a + 29. Give m(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33484956563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-18))\/((-32)\/(-24) + -13 - -9). Put 0.4, -1\/2, 0.1, q in descending order.\nAnswer: 0.4, 0.1, q, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 87953*j**3 - 87950*j**3 + 0*j.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -2\/9, -5, 0.0894?\nAnswer: 0.0894","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/21 + 62*s**2\/7 + 270*s + 8050\/3.\nAnswer: 2*(s + 23)*(s + 35)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 65585*p**2 + 8*p + 4. What is the ten thousands digit of w(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzddpndodhdpondndpd. Give prob of sequence hzn.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**2. Let s = 7 - -7. Let p be (15 - 3)*(-1)\/(-2). Let x(z) = 2*z**2. What is p*o(h) + s*x(h)?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -410013686*f - 435352320 wrt f?\nAnswer: -410013686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 18 - (-10 + -4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {v: 1, a: 2, e: 1, c: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -17299592 > -17299592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61596 + -61573. Let q(m) = 48*m + 3. Let o be q(-4). Let a = o + 373. What is the highest common divisor of l and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 - k**3 + k**3 - 31*k**3 + 13*k**3 - 2*k**3 + (-2*k**2 - 1 + 1)*(-k + 2*k - 3*k) + 6 - 6 + 2*k**3 + (3*k**2 - k**2 - 3*k**2)*(2*k + 4 - 4).\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + -5.7. Let i = 107.133 + -106.7. Let n = -0.067 - i. What is the closest to 0.4 in b, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/18*3 - (-47)\/(-86). Which is the third smallest value? (a) z (b) 4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -42. Let o = 23 - 20. Find the second derivative of g*c**o + 0*c**3 - 13*c**3 + c wrt c.\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/3471174 and -29\/495882.\nAnswer: 3471174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 21 = 4*y, -13*w - 24 = -17*w - 4*y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f - 1. Let g be i(1). Let n(c) = c**3 - 21*c**2 + 19*c + 20. Let m be n(20). Solve m = t + t - g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-2)*(-5)\/260*-1 and -101\/6.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89665\/582907 - 1\/44839. Which is the fifth biggest value? (a) 1\/23 (b) p (c) -1 (d) 0.2 (e) -1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-0.5.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**2 + 4*c. Let j(g) = 34*g**2 - 14*g. What is 2*j(h) + 18*o(h)?\nAnswer: -4*h**2 + 44*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 2287.36, 32 in decreasing order.\nAnswer: 2287.36, 32, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27 - 20) + 102\/(-14). Which is the closest to l? (a) -0.4 (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*p + 1951 = 1871, 5 = -p. Let x(a) = 3*a + 47. Give x(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*j - 122*j - 13 = 5*k, 2*k + 6 = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -3*p**5\/5 + 4*p**3\/3 + 26. Find the third derivative of u(k) wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 3)*(7 - 7 + 10*g)*(9 - 1 + 2*g**2 - 7) to z*g + t + w*g**2 + v*g**3 and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 233*d**3\/6 + 21*d + 31. Let k(z) be the first derivative of r(z). Let u(i) = i**2. Determine u(k(w)).\nAnswer: 54289*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/29)\/(g*g*g\/((g*g\/(g*g**16\/g))\/g)*g) assuming g is positive.\nAnswer: g**(-549\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 greater than or equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*o - 2241 = 0, 16*a - 2*o + 1122 = 18*a. What is the smallest common multiple of 84 and a?\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 7*v - 137 = 8*v, 0 = -g + 4*v + 16. Let m = -21 + g. Suppose 3*q - m - 4 = h, 4*h = -5*q + 7. Solve -4 + 13 = -q*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 - 1?\nAnswer: 1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (672\/2112)\/(518\/111).\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2021223 - 10?\nAnswer: 2021213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w - 25*w - 17238. What is w rounded to the nearest ten?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 821 - 820. What is the second biggest value in 1\/4, 0.06, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v + c = 11, -5*v - 41 = 2*c. Let f(p) = -6*p**3 - p**2 - 5*p**2 - 7 - 5*p**2 + 5*p**3 - p + 4*p**2. What is f(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.75687 minutes in microseconds?\nAnswer: 705412200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2627 = -12*x - 5*x + 33 - 314. What is the remainder when x is divided by -5*14*(-2)\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9501 is divided by 61?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 231246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, j: 1, f: 10, z: 3, o: 1}. What is prob of sequence zo?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 n when three letters picked without replacement from nydynyddnydy?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 78 or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/4)\/(2\/3*-3). Suppose -4*b - 4*h - 4 = 0, 6*b - b + 3*h - 1 = r. Find the third derivative of -2*z**6 - 8*z**2 - 5*z**b + 2*z**2 wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-12))\/(49\/147).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**2 - 7*d + 16. Let k(u) = 51*u**2 - 20*u + 47 - 37*u**2 - u. Let n(q) = -6*k(q) + 17*y(q). Give n(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8089858.\nAnswer: 2, 7, 17, 19, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103*l**2 + 19*l wrt l?\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2856\/(-2448) - (-5)\/(-15))\/((-23)\/(-2)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2013045 (base 8) to base 6\nAnswer: 15205301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 5*p + 4. Let c(m) = 2*m**2 - 10*m + 7. Let t(k) = 7*b(k) - 3*c(k). Determine t(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 84141.\nAnswer: 2\/84141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen sevenths of a week in days?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2288*b**2 - 1 - 2270*b**2 + b + 0*b + 2*b.\nAnswer: 18*b**2 + 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 14) to base 9\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 4. Let p = 24 + c. Suppose -4*j = -4*y - 12, -10 = 5*y - 4*j + 2. Solve -v + p + y = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -38, -45, 3.\nAnswer: -45, -38, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 - (29 - 71) - -109.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/88 and 23\/8776?\nAnswer: 96536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -13000?\nAnswer: -12330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131289 - 68048. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572*w**2 - 59*w**2 + 95*w**2.\nAnswer: -536*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.036 times -0.022101\nAnswer: 0.000795636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 g, and 1 u when three letters picked without replacement from vdudbgufg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-10\/7)*s*s**(-2\/13)\/s)\/(s**(4\/5)\/(s**5\/s)))**22 assuming s is positive.\nAnswer: s**(16192\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 57*n**2 - n - 1. Let i = 3 - 4. Is w(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1\/7 (c) -1\/4 (d) 0.6 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 3.4 (c) 1\/11 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262\/7 less than or equal to 181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c30a (base 16) in base 8?\nAnswer: -341412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 484 = -1210. Calculate the highest common divisor of 429 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 896 + -876. Calculate the greatest common divisor of z and 56.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*x - 26*x + 76*x.\nAnswer: 29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 24 = -q. Let t = 9 - q. Suppose 4*o + 29 = 5*b, -3*o + t = b - o. Calculate the greatest common divisor of 55 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -361515 (b) -0.5 (c) -1\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -12*r**3 + r**2 - 2*r - 2. Calculate s(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*l + 35, -3*i - 1 = 2*l - 12. Let s = -4.5 - 0.5. What is the second smallest value in -2\/9, i, s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + -1 - (3 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 27. Let l = s - -13. Suppose l*o - 5180000 = 7*o. Round o to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -10 + 2*b**2 - b**3 + 5*b - 1\/4*b**4. What is t(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/75)\/(12\/(-52)).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-46*i + 84*i - 40*i)*(60*i**2 + 73*i - 8*i - 59*i**2) as s*i**3 + l*i**2 + g + d*i and give l.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16145491309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6*y = -7*y + 119, 0 = -4*x + y - 158. Let l = -119\/3 - x. What is the nearest to l in -10, 0.1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16725214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 597*(4 - 98\/21). Let r = i + 438. Calculate the greatest common factor of r and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100315405 (base 6) in base 14?\nAnswer: 325753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7530 - -7543) + (72 - 0 - 2).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - r. Let j be 20\/6*27\/18. Give b(j).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 29\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -333, -663, -993, -1323, -1653?\n\"Answer: -330*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 49567*a. Let p(k) = 18*k**2. Calculate p(j(z)).\nAnswer: 44223974802*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 157*y + 5789. Determine p(-58).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/28905 and -58\/3497505.\nAnswer: 3497505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 125*m + 1987*m**2 + 1108*m + 7845*m**2 - 50*m wrt m?\nAnswer: 19664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 + 2414*z - z**2 + 4*z**3 - 2749*z as x*z**2 + k + t*z + s*z**3 and give t.\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 3*j + 405. Let z = j + -56. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**6\/40 - 661*h**5\/60 - 29*h**4\/8 + 2*h**3\/3 - 40*h**2 + 38*h. Find the second derivative of w(l) wrt l.\nAnswer: 18*l - 1322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35340984 and 168?\nAnswer: 35340984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42054, 71957, 121796, 191571, 281282, 390929, 520512?\nAnswer: 670031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -12. Let z = 102\/5 + -21. Which is greater: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -290, -738, -1562, -2888, -4842?\nAnswer: -7550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -15*k**3 - 1. Let l(j) = -j. Calculate the remainder when i(-1) is divided by l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.27 - -3.47. Which is the nearest to d? (a) -1 (b) -6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7003050?\nAnswer: 2, 3, 5, 46687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3559 (base 15) to base 16.\nAnswer: 2c46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 132165622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.4 (c) -1 (d) -1\/5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) + (sqrt(68) - (-1*sqrt(68) + sqrt(68))) - sqrt(68))*5)\/(sqrt(16)*5))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-3)*(-1548)\/1290.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 555 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 2*h - 2. Let o(c) = 3*c**2 - 5*c - 5. Let a(b) = -2*o(b) + 5*t(b). Let i(q) = -22*q**2. Determine i(a(m)).\nAnswer: -22*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/145 + -173\/1015. Sort -1\/3, 0.4, 1\/2, a in decreasing order.\nAnswer: 1\/2, 0.4, a, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 12:55 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 119*g + 99, 2*y - 4*g + 242 = 236 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from qtvpzzp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3001 (base 4) in base 13?\nAnswer: -11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/i**(-2\/13)*i))\/(i**(-1\/2)*i))**(-6\/5) assuming i is positive.\nAnswer: i**(207\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z - 8. Solve -2 = -b, 0*b - 5*b + 8 = z*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 50636, 101631, 152626, 203621?\n\"Answer: 50995*j - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.51 + -3.49. Let z be 3*(132\/45 + -3). Suppose 5*w + 6 = -14. Which is the nearest to -0.2? (a) z (b) w (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeemyqdeyemye. Give prob of sequence yqd.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*j**2 + 3075*j - 2990*j + 40*j**5 + 0*j**2 wrt j?\nAnswer: 800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -873911, -874177, -874619, -875237, -876031, -877001, -878147?\nAnswer: -879469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2612998.\nAnswer: 2, 1306499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*b**5*u + b**4*n*u - 213*b**3*u - 4*b**2*n*u - 2*b**2*n - 83*b**2*u + b**2 + 2*n*u - n wrt b.\nAnswer: 540*b**2*u + 24*b*n*u - 1278*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -613810 by -6.\nAnswer: 306905\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9*1275633\nAnswer: 11480697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135884 or -0.2?\nAnswer: -135884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h + 0*h**2 + 5*h - 5*h + h**2 to b + z*h**2 + g*h and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 3*w - 1. Let p be c(2). Let b(m) be the third derivative of 1\/24*m**4 - 9*m**2 + 0*m + 0 + 0*m**3. Calculate b(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 - 32 + 0)*(-2*q - q + 4*q) + (5*q - 4*q + q)*(-3 + 0 + 2) - 4*q + 3*q - 9*q to the form g + r*q and give r.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335697 divided by -3?\nAnswer: -1335697\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 10*i - 22. Let z be y(14). Which is greater: z or 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 630.18 from -0.4.\nAnswer: -630.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**6\/2 + 12*c**5\/5 + 3*c**4\/4 - 10*c**3 - 6*c**2 + 24*c + 50. Find z, given that n(z) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 770, 769, 768, 767?\n\"Answer: -a + 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.4377 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1788?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1310944803?\nAnswer: 3, 7, 263, 237361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 83.8 * 700\nAnswer: 58660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*u + 66*u + 7351 - 6919 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -214404?\nAnswer: -214403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422733?\nAnswer: 3, 29, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 518932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 + 97.99. Which is smaller: -60 or q?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*y + 7200 = 189*y - 123*y. Which is greater: -178 or y?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23423 is divided by 192.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -22, -0.3, 1\/5560?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 270 + 414 = 0. Let b = -57 - y. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 217.\nAnswer: -65.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-6)\/(-15)*(-15)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0356451 and -0.05.\nAnswer: -0.001782255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20872 - 12149. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - f - 8 + 50, 0 = 2*d + 3*f - 35. Let j = d + -27. Calculate the remainder when (-6)\/4*j\/3 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-30)*(-3)\/6*1. Let s(a) be the first derivative of 0*a + 2\/15*a**3 - 1\/10*a**4 + n*a**6 + 3 - 2\/25*a**5 + 0*a**2. Factor s(t).\nAnswer: 2*t**2*(t - 1)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, 19011, 2, 37, -2 in decreasing order.\nAnswer: 19011, 37, 2, -2, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44110 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 - 18*h - 1297. Determine j(23).\nAnswer: -3298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 822916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*d - 1467 - 423 = 49*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2358016 centimeters?\nAnswer: 0.002358016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1689748*m**2 - 18587232*m - 44 = 0. Calculate m.\nAnswer: -11, -1\/422437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1427, 0, 3, 9.\nAnswer: 0, 3, 9, 1427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.86 + 0.69?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 11:52 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 21) + 8 + (-4 - 21) + -21.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7*l**2 + 36*l + 2. Let c(z) = -z**2 - 3*z - 1. Let k(o) = -b(o) - c(o). Calculate k(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.37 - 0.11. Let d = -0.04 - a. What is the smallest value in -3, d, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 5:58 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*w - 3*w + 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.922 - -504\nAnswer: 504.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 318.4 - -68.6. Let n = h - 387.00189. Round n to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 123, 184 in ascending order.\nAnswer: 3, 123, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-5 + (-39)\/(-9)). Which is the biggest value? (a) x (b) -2\/41 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -41323, 2\/17, 1\/4, -0.1, -22?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = q - m + 2*m, 0 = 5*m + 5. Let z = 23 + q. Solve -10 = -4*j + 3*b + 13, -2*b - z = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-5)\/(9 - 14)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3))**(-45)*(z\/(z\/z**(2\/5)))\/z**(3\/5) assuming z is positive.\nAnswer: z**(-151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1066.52 and 0.056?\nAnswer: -59.72512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4) + 3 + (-4 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i, -13*j + 9*j = -5*i - 1108. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-129 - -137)*(0\/(-3) + 1 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -s + 3*s, 3*s = 3*n + 15. Suppose -5*y - 5*c + 25 = n, 3*y - 4*c - 27 = -3*c. Let x be ((3\/y)\/((-18)\/(-8)))\/(-1). Put x, 3, 0 in increasing order.\nAnswer: x, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 + 42*p**2 - 16*p - 19. Calculate h(21).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 12:30 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245, 1882, 6329, 14990, 29269?\nAnswer: 50570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**2 + 2028*d + 4040 = 0.\nAnswer: -505, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p*p**23))**(-21\/4) assuming p is positive.\nAnswer: p**(525\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-17)*f*f)**(-1)*(f**16)**(-12\/7) assuming f is positive.\nAnswer: f**(-87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w. Suppose -7*z = 3*z. Let y be c(z). Suppose -2*m - 2*o - 10 = y, -18 = 4*m - 0*o + 3*o. Let i(h) = 2*h + 2. Determine i(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 578, 2319, 5220, 9281?\nAnswer: 14502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630*b - 632*b - 26 - 34 = 20*y, -4*b - 291 = 3*y + b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7590279 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: Let a(n) = 5*n - 6. Let f(p) = 7*p. Let b(j) = -46*j + 7. Let v(o) = -b(o) - 6*f(o). Calculate 2*a(u) - 3*v(u).\nAnswer: -2*u + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4 + 885*i**5 + 1615*i**5 - 20*i - 221*i**2 - 2584*i**3 + 104*i + 225*i**4 = 0.\nAnswer: -1, -1\/4, 2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0001 (b) 0.1 (c) -0.3 (d) 1\/7 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -16 + 2*b + 51 - 18. Let k be n(-6). Solve -k*s + 5 = -0*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - g**2 - g + 38. Let c be r(0). Suppose -c = -2*f + 5*w, 2*f - 3*w - 13 = 21. Let o = 21 - f. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -8*s**2 - 17*s. Let o(l) = -9*l**2 - 16*l. Suppose -4*k = 0, 4*q - 4*k - 9 = 7*q. Let u(i) = q*o(i) + 4*z(i). Let u(b) = 0. Calculate b.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 196 = 181 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -92362559.255?\nAnswer: 92362558.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4240312 (base 5) in base 7?\nAnswer: 414652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36856?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**5\/60 + 23*d**4\/24 + 4*d**3 + 21*d**2. What is the units digit of h(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*t = r - 27, -9 = -3*r + 3*t. Let u = 6 - r. Suppose u = -3*h + 5 + 7, 2*h - 28 = 4*s. Put 4, 3, s in ascending order.\nAnswer: s, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 6. Which is the nearest to g? (a) -2 (b) -0.2 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1169665.\nAnswer: 5, 7, 23, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9860 divided by -1972\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 + 110 = 127*y + 254 + 1104 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 24. Suppose 3*u = 3*i + 45, -x*i - 4 = -i. Calculate the highest common factor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 56.1 (c) 1 (d) -6011 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7, 6\/11, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d5d8e (base 15) in base 11?\nAnswer: 423488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 6*v**2 + 2*v + 14. Calculate the remainder when t(6) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*p - p + 5*p)*(104*p - 47*p + 54*p) + 3*p - 3*p + p**2)*(3*p - p + p - 1).\nAnswer: 336*p**3 - 112*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -608 - -607.6. Which is the nearest to -4? (a) 18 (b) 4\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 2*a - a)*(-12 + 10 - 4*a - 3*a)*(3*a + 0*a - 2*a) as s*a**2 + j*a**3 + k*a + z and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14170454 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*f - 96. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -10\/1023?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 4. Suppose -2*d - 9 - 15 = 5*i, 2*d = -3*i - 16. What is the smallest common multiple of u(i) and (0 - 1\/2)*-4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3739*s + 164*s**2 + 3739*s as l + w*s + f*s**2 and give f.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -17 + 6*i - 9*i**2 + 52*i**3 + 32 + 2*i - 16. Let t(b) = -26*b**3 + 4*b**2 - 4*b + 1. Let z(x) = -4*m(x) - 9*t(x). What is the units digit of z(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-15))\/(r*r**(-6)))\/(r**19\/r**(-1\/21)) assuming r is positive.\nAnswer: r**(-589\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-40)\/105*(-21)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 10*n - 13. Let r be j(-8). Solve -7*d - 12 = -r*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2714 or -4266?\nAnswer: -2714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -5.594818600903.\nAnswer: 5.394818600903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*t - 0*u + 2*u - 127, 2 = 2*u + 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*l = -3 + 7, 2*k + 4*l = 36. Calculate the greatest common divisor of k and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43.3 + 4.7. Let m = 47.9876 - x. Round m to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3334*k + 2 - 6681*k + 4 - 6.\nAnswer: -10015*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3238)\/30 + (-6)\/9. Let c = 109 + w. What is the closest to -0.05 in -0.1, c, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + 220?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9175*-85.1.\nAnswer: -780792.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + 2 - (-4 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l**2*r**3 + 12*l**2*r**2 - 266*l**2 - 1912*l*r**3 - 211*l + 9*r**3 + r wrt r?\nAnswer: 30*l**2 - 11472*l + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -5037?\nAnswer: -1\/5037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 - d**2. Let c be (5\/(-3))\/((-3)\/9). Suppose c*a - 5*w = 10, 3*a - 8*a = -w - 6. Determine m(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7918 + 0.2082. Which is the biggest value? (a) 0.025 (b) i (c) 1\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - c - 2. Give a(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2872468210 + 88408826557609\/30778. Let z = 1\/1399 - h. Let w = z - -2\/11. Which is the third biggest value? (a) -3\/2 (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -12.8. Let p = h - -18.2. Let n = 12 - p. Sort 4, n, 0.1 in decreasing order.\nAnswer: 4, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 7*r + 0 + 3*r + (-41*r - 16*r + 6*r)*(2 + 0 + 0)*(-1 - 1 + 3).\nAnswer: -106*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 0 + (-16)\/20. Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-117)\/143)\/((-2)\/22)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**4\/3 - 7*n**3\/6 - n - 84. Let d(m) = -m. Determine d(c(o)).\nAnswer: 4*o**2 + 7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10 and -618806390673.\nAnswer: -618806390663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -16, 2\/7, 1.5, -2\/251, -4 in descending order.\nAnswer: 1.5, 2\/7, -2\/251, -4, -13, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/55 and 2\/17.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 - 1.8. Let m = 1.1 + z. Sort m, 1\/3, 2 in increasing order.\nAnswer: m, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 + -45 + 2 + -33\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39722024, 39722025, 39722026, 39722027, 39722028?\n\"Answer: c + 39722023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1534 divide 25691432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 652281503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -0.2 (b) 4 (c) -3 (d) 10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 288\/(-10)*(164\/(-12) + -3). Calculate the greatest common factor of 90 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -7285270137871\nAnswer: -7285270137872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -433, -782, -1129, -1474?\nAnswer: -1817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -505, -1141, -2041, -3211, -4657?\nAnswer: -6385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -716, -1427, -2138, -2849, -3560, -4271?\n\"Answer: -711*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1967519 + -30?\nAnswer: 1967489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -14. Suppose 2*x + 0 = 12. Suppose 0*a + 3*a = x. Calculate the remainder when j is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 + -22. Let p = k + -54. What is the closest to -3 in p, -0.4, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4034*h = -31*h - 200150 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(-11))**(3\/4) assuming t is positive.\nAnswer: t**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5 - 2*m - 3*m + 5. Let q(r) be the third derivative of -r**6\/144 - 17*r**4\/12 + 59*r**2. Let a(w) be the second derivative of q(w). Give a(z(h)).\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u - 9*u - 11*u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from xxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 23596284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 27847, 55594, 83341?\nAnswer: 111088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*-1 - 3*69*(-184)\/168. Does u = 223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i**2 + 2*i**2 + 4*i**2)*(-6796 + 27237 + 8194 - 6377 + 25332) to y*i**2 + g + q*i and give y.\nAnswer: 47590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 1 + 14 + -40.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1948.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 72 = 3*u. Let f be 0*1*u\/12. Suppose 5*a - 10 = 3*z, -2 = -2*a + a + 5*z. Solve f = -4*n + a + 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 - ((-20 - (-21 - 3)) + (5 - -4)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 198 = 3*g. Let z be 159\/33 - 6\/g. Which is the nearest to -2\/3? (a) 3 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2 + 7*r - 13. Let b be k(-7). Let c = -84 + b. Sort -9, 4, c, 0 in ascending order.\nAnswer: -9, 0, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-10*48\/1080*(-27)\/8). Find j such that -3\/8*j**o - 114*j**3 - 12510816 - 658464*j - 12996*j**2 = 0.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8224 divided by 8?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-406)\/290)\/((-3)\/(-6))*5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-40))\/(-3*(-56)\/70)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 + 103*k**2 + k**3 + 21*k - 86*k**2 + 19. What is the units digit of m(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9520, 9516, 9512, 9508?\n\"Answer: -4*i + 9524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -22, -13, 4, 29, 62, 103?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -220*o**3*t**3 + 151*o**2*t**3 + 20218*o*t - 3*t**3 wrt o.\nAnswer: -1320*o*t**3 + 302*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(726))\/(sqrt(198)\/sqrt(11)).\nAnswer: -22*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190413462 or -190413460?\nAnswer: -190413462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/(398\/796).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32.00000015 - -32. What is h rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 110?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87 - -88. Put -4, -2, 9, s in descending order.\nAnswer: 9, s, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*j + 56, -4*d - 2*j = d - 88. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10321022 (base 5) in base 9?\nAnswer: -144833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41300527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 191*m - 14. Let f be (-6)\/8*(20 - 24). What is the units digit of d(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 32*w + 33. Let k be q(-1). Which is the third smallest value? (a) 18 (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876723540 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m + 7\/90*m**5 - 4\/9*m**2 - 16\/27*m**3 - 5\/54*m**4 + 0. Solve v(g) = 0 for g.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/14256 and 43\/810?\nAnswer: 71280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/157 + 165\/628. Let f(d) be the second derivative of -3\/2*d**2 + 10*d + 0*d**3 + 0 + l*d**4. What is i in f(i) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 377 (b) 5 (c) 0.2 (d) 0 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - z - 2 + (3 + 1 - 3)*(z - z - 2*z) + z - 4*z + z - 2*z - 1 + 1 - 3*z - z + z - 1 + 3*z + 1 + (2 + 1 + 0)*(-16*z - 3*z - 4*z) + z - 4*z + 5*z.\nAnswer: -74*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a decade in years?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrrrmrrrrrr. Give prob of picking 3 r.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/(-18)*(-160)\/(-2800))\/(((-48)\/20)\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: c3 (base 16) to base 9\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*k = -8, 5*r - k - 44 - 34 = 0. Suppose i + r = 18. Suppose 3*w + i*w = 4*p - 211, 2*w - 10 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 21, -4, -1, 1, 0, -9 in ascending order.\nAnswer: -9, -4, -1, 0, 1, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 157764 (base 12) in base 10?\nAnswer: 365692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-145)\/45 + -1*(-6)\/2. Which is the nearest to 0? (a) 4 (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-33)\/22)\/(3\/(-784)). Suppose j = -2*k + 6*k. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/3, 4\/5, 5 in ascending order.\nAnswer: 1\/3, 4\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 47305492 rounded to the nearest one hundred thousand?\nAnswer: 47300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/27 and -8\/43461.\nAnswer: 130383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 2) + 29\/1. Let w(v) = v**2 + 5*v + 2. Let s be w(-2). Let z = s - -9. Solve -b = 5*c - 6, 5*t - 50 = z*c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 4) to base 5.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 0. Suppose -a*m + 4 = -16. Suppose 0 = -5*z + m*s + 30, -2*s = -z + 1 + 4. Solve p = 4*y + z, -4*p = y + 2 + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - -28. Let n = q + 25.48. What is n rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 20 - 12 = -2*v + 10, -3*t - 7*v = 6 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.12 (b) -3 (c) 3\/2 (d) 3 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-five halves of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 71300, 71306, 71312, 71318, 71324?\n\"Answer: 6*g + 71294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(756)\/sqrt(192))\/((-2*sqrt(72))\/sqrt(8) + sqrt(9)).\nAnswer: -2 - sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-12) + 0)*-3. Let v = c + 8. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -11. Let j = 15 - u. Suppose -4*p + 0*p = -12. Solve -p*n = 4*x + j, -8*n = -3*n - 5*x + 30 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7*q = 30. Solve -q*t - 5*k + 5 = 0, k - 3*k + 12 = -3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 0.4 (c) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/sqrt(72) + (sqrt(1053) - (3*sqrt(1053) - sqrt(1053))))**2.\nAnswer: 8788\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -91\/1891 or -2?\nAnswer: -91\/1891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/22 + 32\/792. Sort c, -2, -0.3.\nAnswer: -2, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*(2 - (-3)\/(-6))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d + g - 366 = 14*d, 0 = -2*d - 5*g + 358. What is the highest common divisor of 2254 and d?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*o - 5*d, 33*o = 32*o + 5*d + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -531203333 + 2709?\nAnswer: -531200624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 132835.8 millilitres?\nAnswer: 132.8358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16269 and 173680449.\nAnswer: 1910484939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s + b = 43, -s + 2*b + 4 = 0. Calculate the remainder when 12 - -3 - (2 + -5) is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*j + 312 - 170 + 355 for j.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1337, 1750, 2443, 3416, 4669, 6202, 8015?\nAnswer: 10108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6479 divided by 1?\nAnswer: 6479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/1625*65*1*5\/(-39)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 - 7*p + 30. Let t(u) = -2*u**2 - 9*u + 29. Let l(s) = 3*f(s) - 4*t(s). Factor l(d).\nAnswer: -(d - 13)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 547*l**2*r**2 - 8*l*r**2 - 4*l wrt l.\nAnswer: 1094*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -169459, -168663, -167337, -165481, -163095, -160179?\n\"Answer: 265*s**2 + s - 169725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -122, -206, -310, -440, -602, -802, -1046?\nAnswer: -1340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13343024 - 12?\nAnswer: 13343012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 63 + 75. Which is the fourth smallest value? (a) -2\/7 (b) 1 (c) -0.2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4481*d*m*t + 16*d*m + 125*d - m*t + 11*m + 2*t wrt t?\nAnswer: 4481*d*m - m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3714300 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(24\/177))\/((-5)\/140) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/10*(-5)\/(-2). Let c be 30 - (1 + -2)\/(-1). Suppose -i + 3*i - c = -s*l, -l = -2*i + 49. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 118 (b) -3 (c) -0.3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*f + 94*f + 4260 = 0 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-2 + 4 + -4). Suppose 0*p - 64 = -3*u + p, g*p = 4. Suppose -5*a = 4*z - 49 - u, 47 = 3*a - 2*z. What is the highest common factor of 10 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 - i**3 + 2*i**3 + (0 - 5 - 2)*(3 - 3 - 2*i)*(-2*i**2 + 3*i**2 + i**2).\nAnswer: 29*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 16, 3*m = 4*b - 0*m - 1208. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 s when three letters picked without replacement from {p: 3, y: 12, s: 3}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 3*l. Let m(h) be the first derivative of -1\/2*h**2 + 3*h + 1. Let p be m(6). Calculate g(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0852 and 16.\nAnswer: 16.0852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142 + 142 - 5*u + 10*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 18*f - 569. Let a be k(32). Solve a*u = -13 - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + sqrt(26)\/(-4*(sqrt(2) + sqrt(4)\/sqrt(2))))**2.\nAnswer: -3*sqrt(13)\/4 + 333\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 81.\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 8 - 2. Suppose 8 = -2*t - 4*l, -i = 3*t + 2*l + 5. Let q(x) = -3 + 6 - 2 + x. Let k(w) = 2*w + 3. Calculate t*k(n) + 5*q(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 3:18 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 2:36 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 12*g + 832 = 0. Let j = 119 + g. Suppose 4*d = -j + 59. Calculate the highest common factor of 22 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from toteeeet?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -198, -0.5, 370\/7.\nAnswer: -198, -0.5, 370\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.147 and -273.\nAnswer: -278.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*b + 37 + 7, 2*i - 3*b - 13 = 0. Suppose -i = -2*j + 20. What is the highest common factor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009231 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*o + 22*o = -672 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 6*f**2 - f - 1. Let u be g(-6). Suppose -9 = -l + 5*y, u*l = -y - y - 9. Are l and -1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 118036, -21, -5 in ascending order.\nAnswer: -23, -21, -5, 118036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(1125) - 3*sqrt(1125)*-2) + 2*sqrt(1125)*-1))**2.\nAnswer: 28125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 491 + 367. What are the prime factors of y?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*h + 1 - 1 + 299*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1460.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 222\/461 or 1?\nAnswer: 222\/461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74 (base 12) to base 8.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, o: 1, m: 1, y: 1, x: 3}. What is prob of sequence zmy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25751845011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 4:47 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(20)\/sqrt(2)) - (-1*sqrt(3) + sqrt(3))**2*-1.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2295 + 6394 = 536*z - 2333 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - -3.98. Let j = n - 4. Let p = -2.35 - -2.15. What is the nearest to 0.1 in j, -0.04, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.64 + -4.64. Which is the closest to 0? (a) -3 (b) y (c) 5 (d) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1356)\/(-16)*(-8)\/(-6). Let r = -64 + u. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/2)*g)\/(g**(-12)*g))\/(g\/((g**(2\/19)\/g)\/g*g)*(g\/(g*g**1\/g*g)*g*g*g*g)\/g) assuming g is positive.\nAnswer: g**(365\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19620154973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -17504, 23 in descending order.\nAnswer: 23, -3, -17504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 13*t + 14. Let b be u(12). Suppose 130 = -4*q + 3*q - b*o, -2*q - 2*o - 250 = 0. Does 2 divide (q\/(-16))\/(2\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117.29 - 117.1865. Which is smaller: -8 or w?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*332\/(-1245).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 31032396 in ascending order.\nAnswer: 0, 5, 31032396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -81*a - 2. Let f(z) = 1095*z**2. Calculate k(f(s)).\nAnswer: -88695*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 3*j + 186. Let u be 4\/(-6) - j\/(-6). Let x = -5 - u. Solve -2*y - x = 2*b, -2*y - 12 = y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -8 - (11 + -22 + 11 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-21))\/(250\/(-700)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -25*r**3 - 7*r**2 + 7*r + 7. Let f(y) = 24*y + 2177. Let q be f(-91). Let o(z) = -17*z**3 - 5*z**2 + 5*z + 5. Give q*o(h) + 5*x(h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 4100212123?\nAnswer: -4100212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -11\/60*q**5 + 14*q**2 + 5\/6*q**3 + 0*q + 1\/120*q**6 + 0 - 25\/24*q**4. What is the lowest common multiple of d(13) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163 - -163.000188. What is y rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3648 and 25126512?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125*z**5 + 1472*z**4 - 1472*z**4 - 553*z**5 + 213*z**2 wrt z.\nAnswer: -25680*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 95, -2.\nAnswer: -2, 2, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13121 + 11?\nAnswer: 13132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 22*i**2 - 44*i - 79. Let n be d(24). Let r(q) = 35*q**2 - 36*q**2 + 2 + 6 + n*q - 2. Determine r(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 0. Let w be (2 - 0\/p) + 0. Suppose 0 = -0*l - w*l. Solve -4*x + 0*x = l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**2\/2 + 14*v - 1. Let q be w(-9). What is the third derivative of -4*s**5 + 5*s**2 - 2*s**2 + s**5 + s**q wrt s?\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 - 11 - -16) + 15 - (-8 + 0).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47398 and 92872.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-102))\/(42\/(-56)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -143\/4*a**2 - 1\/4*a**3 + 0 + 36*a.\nAnswer: -a*(a - 1)*(a + 144)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*a - 2*t, 3*a + a = -5*t + 21. Let b be (-66)\/(-2)*a*-1. Let c be (-2)\/7 + b\/(-21). Solve -2*p = -c - 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8*n - 3*n = -52, 4*h - 12 = -5*n. Calculate the remainder when 29 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -133, -260, -387, -514, -641?\n\"Answer: -127*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**2 + 3*a - 197. Give b(12).\nAnswer: -881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 582\/(-182) - 678\/(-1582) - (-1 - 2)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -21. Let w = -3 + 3. Which is the second biggest value? (a) 3 (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*g = 111836, -4*k + 575*g + 89515 = 570*g. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 27. Let q(z) = -2*z**3 + z**2 + 10. Let c be q(j). Is 5 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/32 and -83\/21216.\nAnswer: 21216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 4*w - 3728 = -2*t, 0 = 4*t + 2*w + 2972. Let z be (-4)\/18 - t\/(-54). Is (-4)\/(-1)*z\/(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11649 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - -10101100010001110001?\nAnswer: 10101100010010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 - 30*c**3 - 2*c**3.\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 5. Suppose -4*d = -24 + 8. Suppose -h = d*b - 9, 2*b = -4*h - 3*b - 8. Give m(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-seven fifths of a kilogram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 156.41946401012\nAnswer: -155.41946401012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604 - 44*a**2 - 1812 + 47*a**2 + 607 + 601.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42741 is divided by 113.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -233. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**2. Let z = 14 + -15. What is q(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 17. Let z(a) = -105*a**2 - 2. Give z(u(k)).\nAnswer: -420*k**2 - 7140*k - 30347","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((121940\/39)\/(-14))\/((-2)\/36). Suppose 0 = 472*k - 476*k + p. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-3631 + -1)\/(-8) - (-2 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 12*x + 60 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9446 (base 10) to base 3\nAnswer: -110221212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/2617?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 10*i. Let d(a) = -2*a. Let y(m) = 20*d(m) + 2*x(m). Let k(p) = -4*p. Give y(k(g)).\nAnswer: 80*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -10*h**3 + 2*h**2 - 4*h - 3. Let w be z(-2). Let a = -61 + w. Calculate the remainder when 95 is divided by a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 349356726 rounded to the nearest 100000?\nAnswer: 349400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -4*c + 18, -54*v + 53*v - 24 = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgagnwjf. What is prob of sequence ja?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1282 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 24. What is the smallest common multiple of m and 34?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20611?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20545 by -7.\nAnswer: -2935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -26\/3. Let m(r) = r**2 + 3*r - 1. Let z be m(-3). Let w be (1 - 1) + (0 - z). Which is the nearest to 1? (a) 0.1 (b) i (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757 is divided by 361.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.57 + -1.57. Which is the smallest value? (a) -5 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-5*(-5 - 72\/(-16)). Let r be 19\/a + 180\/150. Solve 6*s = -7 - r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 68004.98 micrometers in kilometers?\nAnswer: 0.00006800498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.13 and -45820.\nAnswer: -45819.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayt when three letters picked without replacement from aytattwtafaataattaaa?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 34. Let h be z(-7). Calculate the smallest common multiple of 22 and h\/(-112) - 46\/(-7).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/4 of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 4*h + 1. Suppose -13 - 3 = -4*j, -j + 13 = -3*i. Let d be x(i). Let y be (d\/(-8))\/(3\/36). What is the second biggest value in y, -0.4, -5\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 49*t**6\/20 - 84*t**5\/5 + 29*t**4\/2 - 4*t**3 + 236*t + 92. Let z(x) be the first derivative of j(x). Factor z(a).\nAnswer: 3*a*(a - 4)*(7*a - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 - 440987455*p + 440987455*p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*o**3 + 0*o**2 + 19*o**3 + 0*o**2 - o**2.\nAnswer: -34*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 397794647 - 397794679.9999733. Let w = n + 33. What is w rounded to six decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 6860517866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42717 = 5*m - 10123. List the prime factors of m.\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 55 = -39 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/((-10)\/6*(-10 - (-52)\/4)). What is the second biggest value in 1\/225, v, -4?\nAnswer: 1\/225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30735728 and 134096.\nAnswer: 4624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 578 divided by -21570\nAnswer: -289\/10785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 0)*(2*c**2 + 1 - 1) + (5*c - 5*c - 5*c)*(6 - 3*c - 6) - 204*c**2 - 3 + 334*c - 668*c + 333*c as x*c + h*c**2 + p and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/325 and 41\/275?\nAnswer: 3575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m**2 + 14*m**2 + 0*m - m.\nAnswer: 4*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(3\/(-405)) + 1. Let x = m - 6. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010287 + 3453?\nAnswer: 1013740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*b**3 - 16*b**3 - 35*b**4 + (-3*b**3 + b**3 + 3*b**3)*(10*b + 32*b + 15*b).\nAnswer: 22*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9645 and 3930?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**3 - 6*r**2 - 3*r + 5. Let f(o) = -152*o + 309. Let y be f(2). Let j(d) = 3*d**3 - 5*d**2 - 3*d + 4. Determine y*j(q) - 4*u(q).\nAnswer: -q**3 - q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 1:14 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90474 and 2847270.\nAnswer: 5322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 37*w = 357. Let t(r) = r**2 - 10*r + 104. List the prime factors of t(w).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -110 (b) -1.2 (c) -259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*u**3 - 32*u**2 + 9*u**2 + 2*u**2 wrt u.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102534640, 205069279, 307603918, 410138557, 512673196, 615207835?\nAnswer: 717742474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**3 + v**2 - 2*v + 1. Give g(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67109013 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 7*s**2 - 3*s - 6. Let n be t(-5). Let d(q) = -27*q - 29*q + n*q. Let a(g) = 5*g**2. Calculate a(d(v)).\nAnswer: 45*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**6\/120 - k**5\/60 + k**4\/12 - 13*k**3\/2 + 25*k. Let n(a) be the second derivative of i(a). Determine n(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -6*h - 324. Let w = 84 + h. Let a be (4\/w)\/(54\/(-15) - -4). Solve s + a*s = -3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 18155*v**2. Let r(y) = -2*y**2. Determine u(r(p)).\nAnswer: 72620*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*d - 12, 0*c - d = -3*c + 4. Let y(i) = -i**3 + i**2 + i + 4. Let v be y(c). Solve 5*j + 6*n = 2*n + 4, 3*j + 4*n + v = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1029\/(-28))\/21 - (-19)\/4. Solve -3*d = z - 2 + f, 4*d + 4*z = 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 362, 670, 978?\nAnswer: 1286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qynzynznyn. Give prob of sequence qnq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - h = -11, -13*n - 3 = -17*n - 3*h. Let l(t) = 4*t - 37. Let j(b) = -18*b + 184. Let g(r) = n*j(r) - 14*l(r). Let a(p) = p. Give a(g(s)).\nAnswer: -2*s - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/5)*s**10)**(-26) assuming s is positive.\nAnswer: s**(-1378\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.06 times 278.023?\nAnswer: 1406.79638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9 - 1)*(-36)\/30?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-9)\/((-81)\/7). Let i = -5\/9 - -2\/9. Which is the second smallest value? (a) -1\/5 (b) y (c) -0.6 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000499731 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6697.168mm to micrometers.\nAnswer: 6697168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 54.98847 nanoseconds?\nAnswer: 0.000000000015274575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55*o**3*r*x - 149*o**2*r*x**2 + 2536*r*x - r - 2*x**2 wrt o?\nAnswer: -165*o**2*r*x - 298*o*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j**2. Let c(p) = 17*p + 20*p + 20*p - 56*p. Calculate g(c(f)).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1204 and 2344358?\nAnswer: 2345562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 47.5. Let i = -5.4 - y. Let d = i + -20. Is 1\/3 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10255545 - 5?\nAnswer: 10255540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -10*y**3 - 8*y**2 + 20*y + 50. What are the prime factors of v(-9)?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215500406 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 173 + -38276439507.\nAnswer: -38276439334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020333311 (base 4) to base 10.\nAnswer: 298997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*m + 40*m + 3*m**2 - 2*m**2 as w*m + s*m**2 + a and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -12\/7*i**3 - 3\/7*i - 1\/7*i**5 + 0 + 10\/7*i**2 + 6\/7*i**4 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3126 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r - 2*k + 44 = 0, 0 = r + 2*k - 20. Suppose 0 = -7*a + 11 + r. Suppose -3*h + 8*h + a*s = 380, 0 = -4*h - 2*s + 294. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 1:02 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 166618 and 12.\nAnswer: 999708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - n + (-1 + 6 - 4)*(4 - 4 + 2*n))*(-n - 6 + 6)*(-1 - 3 + 2).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 5. Let y be v(-11). What is the units digit of 178\/4 + y\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1255 = 4*j - 5*d, 5*d = -3*j + 2*j + 345. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18640, 37440, 56240, 75040?\n\"Answer: 18800*v - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifyig. Give prob of sequence gy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u + 8. What is the tens digit of s(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -863 - -893. Suppose -175 = -55*q + l*q. Solve q*j = 4*j - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82.8032 - 83. Let t = w - -0.2. Round t to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/4)\/((448\/(-96))\/14))\/(-4)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (16 - (-10097)\/46)*(-922)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7610 is divided by 380?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 - 5*h + 7. Let p be x(-3). Suppose p*y + 60 = 68. Solve -7*l + v - 17 = -y*l, -5*l - 2*v - 26 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-7 + -1)) + 1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22680548.4753 and 0.044.\nAnswer: -22680548.4313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 12*f - 302. Calculate k(25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - 4 + 0 + 3 + m - 2*m - 5*m - m + 5*m - 3*m + 0 + 0 + m + (0*m - m - m)*(0 - 1 + 0) - 2*m + 1 - 1 - m - m + m as z*m + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 132, 444, 1060, 2082, 3612?\nAnswer: 5752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 - 2*z - 3. Calculate p(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 231 - 218. What is the remainder when 127 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g**2 - 5. Let q(t) = 3*t**3 + 2327*t**2 - 4683*t + 2333. Let z(u) = 2*l(u) - q(u). Factor z(d).\nAnswer: -3*(d - 1)**2*(d + 781)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 4*z**2 + 33*z + 132. Let i be x(-4). Does 2\/2183 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 26. Let n(t) = -7*t + 479. What is -8*a(c) + n(c)?\nAnswer: -7*c + 271","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (2 - 2 - (-11 - -4 - -19))) + 77\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001011 - 1010111001?\nAnswer: -11101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*t + 10, -i + 9*t - 7 = 10*t. What is the common denominator of 15\/(-54)*-188*i\/(-360) and -11\/24?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21102001220120 (base 3) to base 10\nAnswer: -3937992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 7*m**2 + 8*m + 2. Suppose -4*q + 72 = -4*c, c = -3*q - 0*c + 42. Calculate the remainder when l(6) is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -62, -90, -116?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 59, 120, 185, 254, 327?\n\"Answer: 2*j**2 + 55*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.717685 seconds in milliseconds?\nAnswer: 3717.685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*d + 10, 5 + 20 = 5*d - 4*p. Suppose -d*f = 3*o - 0*f + 29, o - 4*f = -4. Let l = 0 - o. Calculate the lowest common multiple of l and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 206, 12, -5 in ascending order.\nAnswer: -5, -4, 2, 12, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*a = -2, a + 4 = 9. Suppose -5*c - 293 = -358. What is the remainder when c is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from olllollll.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**4\/6 + 5*b**3\/6 - b**2 + 7*b. Is 8 a factor of h(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 - (66 + -100) - (2 + -1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -19*p. Let o be d(-2). Let b = o + -37. Solve -2*n - b - 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119730 and 107757.\nAnswer: 1077570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7*u + 4 = v, -3*u = -v + 3. Suppose -j + 6*j - 65 = v. Sort 0, 4, j in descending order.\nAnswer: j, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 + 14\/(-6). Let p = -7 - -3. Put p, o, -5 in ascending order.\nAnswer: -5, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 1141 = j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/(-40) - -1) + 2\/(-5). Suppose -5*j - 320 = -7*j. Suppose 0 = 4*i + 4*s - j, 4*i - 154 = -4*s + 2*s. Solve -k = m - l, -4*k - k + 3*m = -i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/c**(-2)))\/c*c)**(-1\/6))**7 assuming c is positive.\nAnswer: c**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 336631782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -412, -909, -1594, -2461, -3504?\nAnswer: -4717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**4\/5 + 64*d**3\/5 - 156*d**2\/5 - 216*d\/5 = 0.\nAnswer: -18, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrs when three letters picked without replacement from yrrrsnrssrrnsnnns?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1032\/7 or -148?\nAnswer: -1032\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 132170451?\nAnswer: 132170447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from bbxib?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -30. Let f = -26.7 - c. Let r = -2 - -3. What is the second smallest value in r, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 = 0, 6*f - 2 = -5*x + 2*f. Let h(r) = -r**3 - 3*r - 10. Let w be h(x). Let y = 13\/5 - 67\/20. What is the second biggest value in 0, y, 2\/5, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c - 158 = -q - 10*c, 3*q + 3*c = 399. Suppose -q = -7*g + 58. What is the least common multiple of g and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/71, 15, -2\/59?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -441*(7 + (-1157)\/195) + (-6)\/10. Sort 2, 3, z in descending order.\nAnswer: 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyvy when four letters picked without replacement from yvyi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(sqrt(152) + 2*sqrt(152)))\/((sqrt(8) - sqrt(128))*5).\nAnswer: -4 - 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 3365566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.402 + -383384.\nAnswer: -383384.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 + 3\/2*b**2 - 3\/2*b**5 - 12*b + 15\/2*b**3 - 3\/2*b**4.\nAnswer: -3*(b - 1)**3*(b + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2745730, -2745726, -2745720, -2745712, -2745702, -2745690?\nAnswer: -2745676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-6 - -3)*5. Let v(y) = -y. Let u be v(x). Suppose 0 = -3*c - 0*b + 3*b + 36, -u*b - 33 = -2*c. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1661646655?\nAnswer: 5, 31, 653, 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -615801?\nAnswer: 615798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 264 and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1085 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - o - 688. Let b(v) = -v. Give b(f(n)).\nAnswer: n**2 + n + 688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -623 (base 7) to base 6\nAnswer: -1235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112120010 + 2?\nAnswer: 112120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2. Let m(w) = 166*w - 166*w + 36*w**2. What is m(d(i))?\nAnswer: 36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 10. Let o be j(6). Let k(q) = -q**2 + 7*q + 5. Suppose -3*i = 3*z - 30, 3 + 6 = 3*z - 4*i. Let t be k(z). Solve t*h - 6 = o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 203625245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/40))**(-22)*(d**(-1\/9))**(-2\/49) assuming d is positive.\nAnswer: d**(-198851\/8820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 2:17 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 63*a**2 - 128*a + 333. Determine d(61).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -12. Suppose -2*a = -5*a + u. What is the lowest common multiple of a and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*g - 67556 - 35928. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*y - 186, -g + 230 = 4*g - 5*y. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1676*z = 1690*z - 615062. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - ((0 - 2) + -526). Suppose -8*g = -9*g - h. Let b = g + 782. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34323597 times 3?\nAnswer: 102970791","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 y, and 1 x when four letters picked without replacement from yrxccrccxyxv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 9*m + 13. What is u(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -784 + 3*t**3 + 773 + 2*t**3 wrt t?\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1103 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(19))*5 + sqrt(19) + -2.\nAnswer: -7 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -3*t**5\/20 + 5*t**2\/2 + t. What is the derivative of i(n) wrt n?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193*-1142103.\nAnswer: 220425879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 210020012 (base 3) in base 9?\nAnswer: 23205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*v = -4, 3*u + 2*v - 28 = -8. Suppose -46 = -3*w + a, -3*a = -u*w - 0*w + 63. What is the remainder when 43 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 8442022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 + 514*q + 2052.\nAnswer: (q + 4)*(q + 2052)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 720?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 2*s. Let j be z(-2). Suppose j = -2*a - 2*a + 20. Let f = -3 + 13. What is the highest common divisor of a and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -126769, 1, 3, 0, -47.\nAnswer: -126769, -47, -5, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0 + (0 - 1 + 3)*(-2 - 2 + 2))*(-49*q + 11*q**3 + 49*q).\nAnswer: -66*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11260\/13 - 866. Let k = 0 + -1. Which is the nearest to k? (a) p (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 7:45 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -6) + -16 + (12 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faaf when four letters picked without replacement from {a: 2, f: 6, k: 2, j: 3}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -11154, 1, 31 in descending order.\nAnswer: 31, 1, -11154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from {l: 1, e: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 46*z - 2317. Give w(50).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6367168 by -4.\nAnswer: -1591792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50285.35 litres in millilitres?\nAnswer: 50285350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 52 = -2*g. Let z = g - 3. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 h when four letters picked without replacement from {z: 11, h: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 132808330723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**2 - 2*w. Let r(q) = -q**2 + q. Let s = 1495 + -1494. Suppose -4*d - 20 = t, 5 = 2*t - d - 0. Suppose 0 = -x - t*x + 3. What is s*m(o) + x*r(o)?\nAnswer: o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -577a7 (base 14) to base 3.\nAnswer: -101210220202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in -4\/11, 0, -2, 1, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, a: 3, b: 1, c: 2, s: 1, m: 6}. Give prob of sequence mhm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence effe when four letters picked without replacement from effffefffffefefe.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(48)\/sqrt(3))\/(-1*(sqrt(8) + sqrt(72))) + 4.\nAnswer: sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115627473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**3 - 6*i**2 - 6. Suppose 5*l - 2*v - 41 = 0, -2*l = -4*v - 5 - 21. Let z(q) = 5*q**3 - 7*q**2 - 7. Calculate l*h(j) - 6*z(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*t + 20 = 0, 6*w - 5*w - t = 10. Which is the closest to -1? (a) -3 (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(-40)*w))\/w*w)\/w)\/(w\/(w*w\/(w*w**(5\/4))*w*w)) assuming w is positive.\nAnswer: w**(159\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2\/7 - 8556*z\/7 - 9150642\/7 = 0. Calculate z.\nAnswer: -2139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24 - 137 + 6 + 182*h + 49 wrt h.\nAnswer: 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3 = 9. What is the remainder when 15 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5*i + 143, -i = -5*j + 4*i - 305. Calculate the remainder when 93 is divided by (-1)\/(-3) - j\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/12 + 32\/6. Suppose -f - m*f + 72 = 0. Suppose -h - 4*h = -x - f, -2*x + 4*h = 12. Let r(n) = 5*n + 1. Give r(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.4 (b) -1\/117 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -3*b + 1, 4*b + 886*i - 891*i + 40 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -69677105 + -0.095883?\nAnswer: -69677105.095883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 8) + (-1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11120, 11122, 11134, 11162, 11212, 11290, 11402, 11554?\nAnswer: 11752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3314866 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -527.993033 - -527.413. Let j = -92 - -91.42. Let q = t - j. What is q rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((116\/(-1218))\/(21\/189))\/(15\/14).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2112735 divided by -422547.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**4 - 40*s**3 - 100*s**2 = 0. Calculate s.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/3399 and -11\/6?\nAnswer: 6798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 6*n - 33, j + 22*n + 723 = 6*j - 191*n - 540 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 - 4147*g + 29011. What is h(7)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2085, 4209, 6333, 8457?\nAnswer: 10581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.52962 decades to years.\nAnswer: 625.2962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2505360*i**2*l**2 + 73256*i**2*l + 2*i**2 - 35*i*l + 2*i + 5*l**4 - l**2 + l - 1 wrt l.\nAnswer: -5010720*i**2 + 60*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -29.6. Let x = -5.6 - q. What is the closest to x in 2\/3, -0.3, 3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, y: 3}. What is prob of picking 3 y?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -51*y**2 + 757*y + 115. Let a be t(15). Let k be 4\/(-18)*(-3)\/6. Sort a, 1, 1\/8, k in ascending order.\nAnswer: a, k, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from {x: 3, j: 3, f: 1, z: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101 - -10001101?\nAnswer: 2222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2793, -5578, -8365, -11154, -13945, -16738?\nAnswer: -19533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 11:31 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 16*g**2 + 9*g + 12. Let i be j(14). Is -28*2\/16*i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15253 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126 - 71. Let r = q + -50. Suppose -2*o + 175 = r*o. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 54\/5 of a millennium?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t*t**20)\/t))\/t**15)**(10\/17))**(-42) assuming t is positive.\nAnswer: t**840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 388366 - 113339. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/3 (b) -8 (c) -13 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4 + 2*v - v**3 + 2*v**3 + 2*v**2 - 6*v**2. Let y(m) = -5*m**3 - m**2. Let x be y(-1). Suppose -9 = 2*q + 3*n, -3*n - x = 3*q + 2. What is g(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-2\/5))**(1\/4)\/((r**(-3\/4)\/r)\/r*r**(-2\/9)))**(-48) assuming r is positive.\nAnswer: r**(-2428\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 20. Solve k - 4*k + 6 = r*d, 2*d = -k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 3*o + 22)*(-2*o - 4*o + 3*o)*(-5 - 8 + 1)*(1 - o - 1).\nAnswer: 108*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-162)\/63)\/((-14)\/(-49))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -316 + 321. Solve 0 = 4*i + 3*o - 15, -3*i = -5*o + o - f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.7333697 rounded to 1 dp?\nAnswer: -22.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.69017 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 6:24 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -11 - (9 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 253.6 + -254.1. What is the second smallest value in 0, x, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1434, -1689, -1944, -2199, -2454?\nAnswer: -2709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10665662, 21331322, 31996984, 42662648, 53328314?\n\"Answer: i**2 + 10665657*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9565279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = -4. Suppose -5*t - 30 + 5 = 0, i + 2*t + z = 0. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7250 + -3?\nAnswer: 7246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 = 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.49 + 0.59. What is the closest to b in 4, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4038 + 4041. Let d = 18 + -6. Solve y*j = -6, -5*t - d = 3*j + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/3 + (1 - -2). Suppose 4*i - d - 18 = 0, n*i + 2*d + 0*d - 14 = 0. Solve -b - l = -6*l + 25, i*b + 13 = -3*l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/20*25\/10. Solve -3 + 12 = -r*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -301 - -300. Put -8, x, -3\/7 in ascending order.\nAnswer: -8, x, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 8:38 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -63118*c**2 + 25*c + 140. Let j be u(-8). Let k = j - -10329612. What is k rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5864348.\nAnswer: 2, 7, 209441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*c - 12439*q + 12443*q, 0 = -18*c - 2*q - 110 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 - 173. Let m = -77.8 - o. Let v = m + 6.7926. Round v to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + 1*sqrt(162) + sqrt(162))*-2)\/(sqrt(6)*-1*-2) + sqrt(1728)*-1*-2*-1.\nAnswer: -57*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12525 (base 6) in base 3?\nAnswer: 2122022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*z + 13850 - 13088 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 6) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 7*c + 105. Let w be 1\/(-7) + (-108)\/c. Solve w*b - 2*j = b - 6, 0 = -5*b - 5*j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 5*b + 8. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 6)\/(3\/(-2)). Suppose 16 = 5*g + 1. Solve g = 5*h - z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + 0 + 3 + -2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 43\/(-72) + (-16)\/(-72). Let t = 2 - 1. Let l = 0.1 - 0.4. Which is the third smallest value? (a) t (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46248090 divided by -3083206.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.8 + 0.2. Let j = q - 12.6. Let l = -3.9 - j. What is the third smallest value in 5, l, -0.08?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 6. Let k be l(7). Let m = k + 3. Find the first derivative of -1 - m - h - h wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30383459.\nAnswer: 30383459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -1746 and -137.7.\nAnswer: -1883.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*(2 + sqrt(200)*2 + 5 + 5).\nAnswer: 60 + 100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 319417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 223.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, m: 13}. What is prob of sequence mm?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -21*v - 2. Let d(x) = x + 8. Let h(p) = 8*p + 71. Let i(c) = 9*d(c) - h(c). Calculate -2*i(u) - l(u).\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.238 - -0.038. Round s to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(17))**2*5.\nAnswer: -20*sqrt(17) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3 - 8. Let w be -3 + (-2)\/q + 2. Is 61 + w + (5 - 3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 41 - 4*l**3)*(-l**2 - 2*l**2 + 2*l**2 + (-3*l - 3*l + 4*l)*(-2*l + 4*l - 3*l)) + 99*l**5 + 63*l**5 - 46*l**5.\nAnswer: 112*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 1 - -3) + 2. Let i(h) = -h**2 - 7*h + a + 2*h - 3*h. Let j be i(-8). Solve j = -5*d + 3*b - 0*b, -5 = b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 12:58 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 447 and 90798\/203 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/(l**(4\/3)\/l))\/(l\/(l\/l**(2\/19))*l))**(2\/183)\/(l**3*l**(-7))**(-1\/40) assuming l is positive.\nAnswer: l**(-8651\/104310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 880.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8030.\nAnswer: 2, 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence seqq when four letters picked without replacement from sspqqqe.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19536 and 10656?\nAnswer: 117216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a week in minutes?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(3) - sqrt(3))**2 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5019382 by -5019382.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/2 and (-5)\/(400\/(-588)) - (-6)\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -185863*b**3*z - 32*b - 57*z wrt b.\nAnswer: -1115178*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 0 + sqrt(45) - 4*sqrt(10)\/sqrt(2))*2)**2 + -1*sqrt(245) + 3 + -3.\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -8. Let i(l) = -6*l**3 - 4*l**2 - 2*l + 4. Let c(p) = -5*p**3 - 4*p**2 - p + 3. Let j(b) = 7*c(b) - 6*i(b). List the prime factors of j(o).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2 + 61. Let s(j) = -17*j**2 + 306. What is 11*q(x) - 2*s(x)?\nAnswer: x**2 + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*d + 54 = 0, 3*d = 5*i - 2*d - 230. Let n = -24 + i. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 2*b**3 + 3*b + (-22*b - 21*b + 42*b + 29)*(5*b**2 + 12*b**2 - 6*b**2).\nAnswer: -9*b**3 + 319*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/12 and (190\/(-75))\/(4\/(-40)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllw when four letters picked without replacement from {l: 7, w: 6}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 4*y - 28, 25*l - 26*l - 5*y + 24 = 0. Suppose b + 112351 = -5*a, -l*a - 10*b + 12*b = 89878. What is a rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26980 is divided by 13478.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36571224 is divided by 217.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3*f + 46, 0 = r - f - 48. Suppose 8*l = r + 63. Calculate the remainder when l is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s = -3*b - 14*s + 18, 4*s + 10 = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/24*(-2)\/5 + 175712\/(-3876)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 84 - -2230a?\nAnswer: 2238e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130597 is divided by 3185?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -892 + 1339. Suppose -846 = -5*r - s, -393 = -5*r + 5*s + n. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8298*-0.08.\nAnswer: -0.146384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {j: 14, h: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -221 + 3?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/(-24)*1)\/(8\/(-6)). Let c(m) = 42519*m**2 + 1. Let j be c(r). Let d = j - 29620. Round d to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*((s\/(s**(-8)*s))\/s)\/s*s**5*(s\/((s\/(s*s*s*(s\/s**1)\/s)*s)\/s))**16 assuming s is positive.\nAnswer: s**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 + 7*h - 1. Let u be f(6). Is u > -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021.054 millilitres in litres?\nAnswer: 1.021054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -0 + 4, 4*q + 3 = -i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -182, -4, 2 in descending order.\nAnswer: 2, -4, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499429 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 37*d - 71. Let t be f(2). Solve -28 = -t*b - 4*o, -5*b + 4*o - 4 = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 0 - 1\/16*h**5 - 3*h + 5\/12*h**4 - 25\/24*h**3 + 5\/4*h**2. Factor k(x).\nAnswer: -5*(x - 2)*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*o + o + 50 = -50 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -4262?\nAnswer: 4264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p**2 + 9*p**2 - 2*p**2 - p**2 + 4*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*l**3 - 1719 + 2717 - 998.\nAnswer: -38*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 p when four letters picked without replacement from ifpuppu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**(-14)*q)*q\/(q*q*q**(-5)) assuming q is positive.\nAnswer: q**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25001.8 + -25002. Sort 5, 0.5, 0, -10.6, o in decreasing order.\nAnswer: 5, 0.5, 0, o, -10.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j + 8*j**2 - j**3 - 6*j**2 + j**4 + 0*j**4 in the form m*j**3 + q*j**4 + s*j**2 + p*j + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2266.6534 rounded to 0 decimal places?\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 9*r**2 + 9*r + 4. Let i be p(-8). What is the nearest to 2 in -0.1, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 2*f - 1 - 94*f**2 + 40*f**2 + 3*f + 54*f**2. Let w(c) = -3*c**3 + 3*c - 3. What is w(i) - z(i)?\nAnswer: -4*i**3 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 10:27 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-6 - -2) - (3 - 4). Solve -4 = -t*r - 4*q, -2*r + 2 = r + 2*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 750*q**2 - 12*q + 4. Let x(a) = 751*a**2 - 15*a + 5. Let c(r) = -5*g(r) + 4*x(r). Let i(m) = -m**2. What is c(i(j))?\nAnswer: -746*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-5))\/(-2)*(1680\/(-32) + 50).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*l**2 - 3544\/3*l + 0 = 0. Calculate l.\nAnswer: 0, 1772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 2:38 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -24. Let l(o) = -10*o + 22. Let h be l(a). Solve h*q = 2*u + 4, -2*q - 20 = -3*q - 5*u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69293 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*g - 126, -g + 644 = 5*x + 2*g. Calculate the greatest common factor of x and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -20*q**2. Let a(m) = 2*m + 3252 - 3252. Determine b(a(h)).\nAnswer: -80*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19400?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16 (b) 18 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2040726)\/(-12) + (-20)\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 13 = -5*l, 2*l = -77*m + 72*m - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -0.98 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 + 16*d**2 + 9*d + 5. Calculate the lowest common multiple of a(-3) and 154.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 337 - 323. Suppose k*h - 3625 - 5461 = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 215 - -2?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 787459865 to the power of 1\/3, to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v**2. Suppose 4*f = q + 19 + 2, 4*q + 9 = f. Let g be z(q). Solve -i = m - 1, g*i + 2*m - 11 = 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 3, -5 in decreasing order.\nAnswer: 3, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -21. Solve l*i = 4 - 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 910 - 0?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 + 95. Suppose -26 = d*j - 31*j. What is the smallest common multiple of j and ((-1)\/2)\/((-2)\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.8 (c) 3\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3 + 2*y**3 + 3*y - 4*y**2 - 9*y + y**2 = 0. Calculate y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/20*5*302*1. Let u = h + -147. Solve 12*m - 8*m - u = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 10 + -7 - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**2 - 140*x + 136 = 0.\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 2*h - 2. Let l(g) = g**3 + 4*g**2 + 21*g + 16. Let r(t) = -6*a(t) - l(t). Determine r(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/(-65)*((-4200)\/(-176))\/35.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -185745*a**6 + 9957*a**2 + 10 wrt a?\nAnswer: -22289400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.07, -1, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12 and -57013.33.\nAnswer: -6841.5996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.4. Which is the second smallest value? (a) -4 (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92 by -23.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1397535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.067 + -0.373. Let q be ((-2)\/(-11)*1\/(-2))\/((-10)\/55). Which is the nearest to 0.1? (a) s (b) 5 (c) q (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.811 - 0.189. Which is the biggest value? (a) 4 (b) t (c) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3032\nAnswer: -3032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -5980 to the nearest 100.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozb when three letters picked without replacement from zrbzhzo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2149.666 - -0.04.\nAnswer: -2149.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8990, 14393, 19796, 25199, 30602, 36005?\nAnswer: 41408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 43*h**2 + 129. Let j(p) = -615. Let k(b) = -217. Let a(g) = 6*j(g) - 17*k(g). What is -129*a(o) - l(o)?\nAnswer: -43*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3 + 1642995*f**2 + 7843*f + 2822 wrt f?\nAnswer: -6*f + 3285990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5 (b) 4 (c) 166 (d) 21\/26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from {v: 2, u: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*l = c + 424*l - 16, 3*c + 9 = -4*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 101110 and 10702.\nAnswer: 541039610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96504 + 143093. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 27*t + 2. Calculate a(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7591 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3)*c)\/c**(-2)*(c**1\/c)**21 assuming c is positive.\nAnswer: c**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 3*y**2 - 3*y - 1. Let n be w(-2). Let m be (6*3)\/n + 0. Let b be (12 - -3)\/((-2)\/(-6)). What is the greatest common divisor of b and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23609*l**4 - 338*l**3 + 23998*l**2 + 24*l + 4 wrt l?\nAnswer: -566616*l - 2028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2 + 3*s - 2*s + 0*s. Let v(u) = -u + 4. Let z(d) = 2*v(d) + 5*x(d). What is z(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a + 48. Let y be d(-8). Solve y = 5*g - 8 + 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/6*(-4320)\/(-640)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1176 = -3*r + 1170. Let t(z) = -26*z + 17. Let i be t(-6). Suppose 5*x - 5*o - r = 123, x + 3*o - i = 0. What are the prime factors of x?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153260 a multiple of 485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.21 + 0.11. Which is the closest to -1? (a) 3 (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 32, 0.2, -2, 1\/2, 2\/71?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 415 - 457 - (34 - (-1 + 3)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**5 - 4286*a**2 + 7127*a.\nAnswer: -20*a**3 - 8572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 6\/34109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (244*v**3 - 14*v**3 + 78*v**3)*(-1 + 1 + 4*v)*(-2 + 0 + 1).\nAnswer: -1232*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/11)*u**(2\/3)\/u)\/((u*u**(1\/2)*u)\/(u**3\/u)) assuming u is positive.\nAnswer: u**(-43\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than -1.7298589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148612?\nAnswer: 2, 53, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 6*o + 2. Let m be q(-8). Suppose -3*z = -m + 6. Let u be (2 + 9)\/(1\/z). What is the greatest common factor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79196 is divided by 275?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 5:30 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -957359 or -957362?\nAnswer: -957359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from leeleee. Give prob of sequence leee.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*z = 88*z - 5*x - 897634, 5*z = 2*x + 1122017. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -88*n + 1580. What is f(16)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201.59647 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-10))\/(2\/5). Let j be 1\/2 - (-6)\/t. Solve 5*x + 17 = j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -272, -3, 9 in descending order.\nAnswer: 9, 3, 0, -3, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**4 - 255*v**2 + 292*v**3 - 432 - 216*v**3 + 774*v - 160*v**3 = 0.\nAnswer: -24, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/428 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*s + 10*l - 7*l, 4*s - 3*l - 41 = 0. Suppose s*x = -593 + 1561. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.92 - -1.08. What is the nearest to 0 in -3\/4, 9, y?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6 + 1\/3. Let o be (v - 4) + 565\/140. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from uayzyz.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -6\/125054689, -3\/7, -1\/4 in decreasing order.\nAnswer: 0.2, -6\/125054689, -1\/4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 11*b - 13*b - 24, -3*l + 3 = 0. Let d be 8\/(-32)*(b + -1). Factor -9\/2*f**2 + 0 - 3\/2*f**3 - d*f.\nAnswer: -3*f*(f + 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-144)\/32 - ((-9)\/6 - 0). Let d be (-18)\/8 - (-1)\/4. Find the common denominator of 54\/(-44) - (d - r) and 81\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.307 + 67.307. Sort 1, -1\/6, f, 4\/7, -4 in descending order.\nAnswer: f, 1, 4\/7, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 6.2 (c) -0.4 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 3, 134077.\nAnswer: 3, 54, 134077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 27*i**2 - 7*i - 34. Does 9 divide m(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341238389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/5*(-5 - -10). Let o(l) be the first derivative of 1\/2*l**2 - 4\/3*l**3 + 3\/4*l**4 + 0*l + w. What is z in o(z) = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2970694997?\nAnswer: 53, 103, 544183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i - 1. Let u be (-22)\/(-2) + 1 - -1. Let x(s) = -95*s + 100. Let r be x(1). Suppose 0 = -r*n - 3 + u. Determine l(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.03 + 10. Let f = -0.37 + l. Which is the second biggest value? (a) f (b) -4 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 7503796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 76347029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 6*q - 36. Let o(y) = -y**2 + 22*y - 26. List the prime factors of o(q).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 103345*b. Let o(f) = f**2. Calculate p(o(z)).\nAnswer: 103345*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**5\/20 - d**4 - 5*d**3\/3 + 15*d**2\/2 + 9*d. Is k(13) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - z + 380 = 4*z, 0 = 4*x - 3*z + 503. Let g = -124 - x. Solve -5 = -2*o + g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/((-576)\/1200)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2817244 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 4*m**2 + 7*m + 22. Let f(j) = j**3 - 3*j**2 - 6*j - 21. Let r be (-1 + 1 + -188 + 179)*(-10)\/18. Calculate r*p(l) + 6*f(l).\nAnswer: l**3 + 2*l**2 - l - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100 + 108. Suppose 2*u = y*u + 252. What are the prime factors of 4\/((-8)\/u) - (7 - 10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q - 1. Let c(l) = 4*l + 1. Determine 5*c(d) + 3*h(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rryl when four letters picked without replacement from yydllyllydr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 124609223 to the power of 1\/4, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -q - 2*a, -a - 55 = -q - 4*a. Let k = q - 56. Suppose -v - 30 = -t, 104 = 2*t + t + 4*v. What is the highest common factor of k and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1543 is divided by 58.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) 1.5 (b) -16 (c) 0 (d) -0.5 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.16 + -0.56. Which is the closest to -2\/3? (a) -2 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/5*(-70)\/84?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, g: 3}. What is prob of picking 3 n?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -67 in 1\/8, 0.5, 0.176, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 3:18 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, w: 2, i: 4, p: 2}. Give prob of sequence pi.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) 0.166 (c) 2\/13 (d) -0.2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 22*o**2 + 308*o - 9. Let z(d) = 5*d**2 + 77*d - 2. What is 2*p(h) - 9*z(h)?\nAnswer: -h**2 - 77*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3. What is the derivative of t - 2*k**4 + 1 + 1 wrt k?\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.013 and 55.\nAnswer: -0.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -3*g**2 + 1\/2*g**4 + 0 + 1\/6*g**3 - g - 1\/20*g**5. What is the remainder when t(5) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2059430?\nAnswer: 2, 5, 41, 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -9, -1\/2, 0.1, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 7995*b + 405146. Calculate v(-51).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 323542402 - 5?\nAnswer: 323542364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119*q**2 - 173*q.\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -0.03 (b) 3\/5 (c) -1\/6 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 790048?\nAnswer: 3160192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76*r**2 - 22104*r**3 - 81*r**4 + 22104*r**3 wrt r.\nAnswer: -1944*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1766*l - 1766*l - 9141*l**2 as n + i*l**2 + o*l and give i.\nAnswer: -9141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*c + 2*n + 4 = 47*c, 4*c + 5*n - 3 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2265.89 to the nearest ten.\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4470917*-0.01\nAnswer: 44709.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 695.2788 hours to microseconds.\nAnswer: 2503003680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.22 - 1.22. Let z = 51.7 + -52. Which is the nearest to z? (a) w (b) -1\/6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5 = 4*b. Suppose 0*h - h + 3*r = -27, 54 = 2*h - b*r. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o + 61*o = -16*o + 1456 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1*-1)\/((-2)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6.135753 seconds?\nAnswer: 6135.753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 71*t**3 - 4*t**2 + 3*t. Let q be k(1). Let l be (-126)\/(-12)*10\/3. What is the highest common factor of l and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14004 and 462132.\nAnswer: 462132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*c - 6. Suppose 0 = -g + c - 1. What is w in 8*w**4 - 2*w**3 + w - 3*w**g + w**3 - w**3 - 4*w**3 = 0?\nAnswer: -1\/2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + q - 8, 2 = -5*g - 2*q + 30. Suppose -g*s + 40 + 4 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-4))\/p**(-1))\/(p**(1\/2)\/p)**(-23)*(p**(1\/2))**(-4)*(p*p**(2\/5)*p)\/p**(-9\/4) assuming p is positive.\nAnswer: p**(-217\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4810470 is divided by 1585.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + 35*q**2 - 27*q - 14. Let r be m(-18). Let x = 144 - r. Let y(o) = 3*o**2 + 4*o + 1. Calculate y(x).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1073 divided by 13.\nAnswer: 1073\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (348\/(-168))\/((-2 + 0)\/4). Let x be (2\/(-5))\/(14\/150). Let y = w + x. Which is the third smallest value? (a) -2\/13 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 167, 249, 329?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*2\/(-15))\/((1700\/(-75))\/34)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13344 divided by -3?\nAnswer: 4448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 403906 to the power of 1\/2, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (sqrt(33)\/sqrt(3)*-4)**2 + -2)*3.\nAnswer: -1566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 7*c - 2. Suppose -10*u + 40 = -c*u. Solve -3*v + 7 = -u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.149 - 4.199. Let j = m - -0.05. Let t = -167\/5 - -1159\/35. What is the closest to t in 2, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1262110, -1262111, -1262112, -1262113?\n\"Answer: -s - 1262109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from bftfxpkp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 154\/(-5)*(-10)\/(-2). Let h = 70 + q. Let f = -1094\/13 - h. Is 2\/11 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-108)\/(-225)*2\/(-4))\/((-26)\/(-65))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w**3 + 68*w**2 + 576*w + 1536. Let j(n) = 21*n**3 - 135*n**2 - 1152*n - 3072. Let g(f) = -9*d(f) - 4*j(f). Factor g(z).\nAnswer: -3*(z + 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(350) + 4*-1*sqrt(350))\/((sqrt(77)*1)\/sqrt(11)))\/((-6*sqrt(80)*1 + sqrt(80))\/(sqrt(512) - sqrt(8))))**2.\nAnswer: 441\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + -4 + (11 - 12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 n when four letters picked without replacement from {r: 1, l: 5, n: 3, f: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 5*j**2 - 7*j + 9. Let g be (-4)\/(-14) + -2 + (-162)\/(-21). Let v be h(g). Find w, given that 1\/3*w**v - 1\/3*w + 0*w**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (2 - 1)\/3. Let z be (-4 - 22\/(-4))\/(-3) + (-44)\/(-72). What is the nearest to 2 in -2\/13, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-180)\/105)*8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 523?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 16*q - 933. Give l(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/9 (b) 17163 (c) -0.01 (d) -0.2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75751 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7105 is divided by 3451?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 280.83 - 283. Let o = z - -1.17. Which is the fourth smallest value? (a) o (b) 4 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*w - 4 = -0*m, -4*w = m - 10. Let d(l) = -94*l + 4. What is the units digit of d(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2348?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.2 (c) 1.6 (d) -2\/7 (e) 416 (f) 68 (g) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85692 and 206124.\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1378784 and 93632?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6\/11)\/x**(-2\/37)*x**23*x*x**6*x assuming x is positive.\nAnswer: x**(12417\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46.6 + -40. Let a = l + -7.13. What is a rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -5, 1, 9?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -317\/368 or -2?\nAnswer: -317\/368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*w = 2*j - 28, 5*j = -4*w + 36. Suppose 4*v = -o + 36, -j*v = -2*o - 0*o + 36. What is the remainder when 70 is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 75. Suppose -3*s + w + y = 0, -5*s + 39 - 9 = -4*w. Suppose -2*i = -4, -5*q = 3*i - 76 - 25. What is the remainder when q is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-189))\/((-376)\/172584)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 10*m**7\/21 - m**4\/12 + 16*m**3\/3 + m**2 - 106*m. Find the second derivative of t(d) wrt d.\nAnswer: 400*d**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**4\/4 + k**3\/6 + 493*k**2. Let t = -21 - -19. Calculate x(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -56, -68, -80, -92, -104, -116?\n\"Answer: -12*n - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/14 or 727?\nAnswer: 23\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(304) + -5)**2.\nAnswer: -48*sqrt(19) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 16*j**2 + 20*j - 39. Let r be z(17). Let p(o) = o**2 + o. Let x be p(3). What is the highest common divisor of r and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 25876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1558*p**2 + 1624*p**2 - 5015*p**2 + 1674*p**2. Let c(f) = 9*f**2. Calculate d(c(o)).\nAnswer: -12879*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.397 - 0.021. Let y = -0.082 + p. Sort y, -1.3, 1\/4.\nAnswer: -1.3, y, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 43*k**3 - k**2 + 13*k - 4. Calculate n(-3).\nAnswer: -1213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*m + 727 - 1780 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w + 2. Let q(c) = c**3 - 10*c**2 + 15*c + 1. Let d be q(8). Let u(p) = -3*p - 2. Let a = -67 + 61. Determine a*s(r) + d*u(r).\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 7.1 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 + 6*q. Let d(u) be the third derivative of -u**5\/30 - 5*u**4\/24 + 10*u**2. What is -5*d(k) - 4*r(k)?\nAnswer: -2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**4 + 192*b**3 + 2964*b**2 + 14440*b = 0.\nAnswer: -19, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209598, 209656, 209714?\nAnswer: 209772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-18)*11\/(198\/(-135)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1727458*h**2 + 3860428*h.\nAnswer: -3454916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-10))\/((-7)\/70). Suppose -o*a + 8*a - 262 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 600, -3, 0.4, 0.5 in decreasing order.\nAnswer: 600, 0.5, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*r - 70*r = 432. Suppose 65*b - r = 69*b. Let q be (b\/(-8))\/3 + (-14)\/8. Which is bigger: 8\/5 or q?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*n = 3*i + 98*n - 38304, 3*i = 5*n + 38214. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 7*k**5\/5 + 37*k**4\/5 - 137*k**3\/5 + 119*k**2\/5 - 2*k - 16\/5 = 0.\nAnswer: -8, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -38*m + 13*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/24 and (69\/(-12))\/(1\/(3\/12)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 3 + 1 - 8) + 3 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, g: 1, l: 1, s: 2, q: 1}. What is prob of sequence qgp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 4. Let h be i(-2). Solve h = 5*g + 3*r + 9, -4*r = -5*g - 0*r - 23 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - f - 3*f + 4 = 0, -4*x = 3*f - 3. Suppose 4*j - o + 38000009 = 2*o, x = -2*j + o - 19000003. What is j rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001079192 to 7 decimal places.\nAnswer: 0.0001079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1278419 is divided by 1078?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.071 - -229834.\nAnswer: 229824.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(14\/4) + 0. Which is the third smallest value? (a) -0.3 (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 10101101111111001?\nAnswer: 10101101111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53293\/7 - 7613. Determine v, given that 6\/7*v**2 + 2\/7*v - y*v**3 - 6\/7 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (7 + (-4 - -4) + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.06198kg to micrograms.\nAnswer: 94061980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s = -52. Let t = 35 - s. Calculate the greatest common factor of t and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-3)\/(-10)*(-230)\/(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**5\/2 - 49*r**4\/2 - 47*r**3 + r**2 + 95*r\/2 + 47\/2 = 0.\nAnswer: -47, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**4 - 425*r**3 - 815*r**2 + 1245*r = 0. Calculate r.\nAnswer: -83, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1996\/9 + -222. Let a = 0.4 + -11.4. Let m = 11 + a. What is the smallest value in 4, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from vvvilvblllvllivvbv?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5748, 22132, 49144, 86784?\n\"Answer: 5314*n**2 + 442*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 3\/8 (c) 119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2458603 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 659*a**3 + 2*a**2 + 6*a - 2. Let m(v) = 1977*v**3 + 7*v**2 + 21*v - 7. Determine -4*m(h) + 14*z(h).\nAnswer: 1318*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 2484.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.9595 centimeters to micrometers.\nAnswer: 49595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 7716 (b) -0.3 (c) 12\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313418.\nAnswer: 2, 7, 61, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184273158.879 less than -2?\nAnswer: -2184273160.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**3 - 2*a**2 + 5*a - 3. Let q = 67 - 65. Is 3 a factor of h(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**11*c**3)\/(c**17*c*(((c\/(c*c**(-7\/3)\/c))\/c*c)\/c)\/c) assuming c is positive.\nAnswer: c**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 - 440*i + 881. Let d be y(2). Solve h - d = 4*r, -2*h = -59*r + 58*r + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)\/sqrt(5)*6)\/sqrt(4))**2 - (sqrt(117)*-6 + 0).\nAnswer: 18*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (45 - 57) + 18 + 62\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -19) + -2*485\/40.\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 4*z = -937 + 878, -10*z - 130 = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5662 + 787012\/139. Is k smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b**2 + 5. Let k = -4 + 1. Let u(h) = 5*h**2 - 4. Let m(t) = k*s(t) - 4*u(t). Suppose 0 = 5*v + 10. Calculate m(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v + 23*v - 7*v**2 - 38*v.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -22*q**3 + 2*q**2 + 8*q + 229. What is the ten thousands digit of t(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146 * 15\nAnswer: -2190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -135 + 165. Let n be (-136)\/120 + (4\/c - 0). Is -13\/10 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 0*v - 6 + 3. Let p(z) = -3*z + 5 - z**2 - 5 + 7 - 1. Let g be p(-5). Determine s(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 65) + 1 + 20 + -38.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Let q = -11 + 25. Let j = 0 + q. Calculate the highest common factor of j and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807345 is divided by 987?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 22 = -8. Let n = k + -26. Suppose p - 2*i = n*p - 515, p - 168 = 3*i. What is the highest common divisor of p and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2072050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 4. Suppose -3 = -4*m - 15. Let d(u) = 2*u**2 + 3*u - 3. What is the remainder when d(m) is divided by y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 532 + -522. Solve 10 + t = -4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 4:32 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 7 + 3 - -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 14 = 5*f. Calculate the remainder when 147 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -19\/21, 6, 1.6, -2, -5, 0.1?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -213\/25, 2\/7, 3\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/((-5017)\/2422).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 2, 6, 5, 3 in increasing order.\nAnswer: -52, 2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.6153 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 275813?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41045 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**2\/3 - 502145*i\/3 + 31113770\/3 = 0.\nAnswer: 62, 100367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 3\/2*j**2 + 0 + 3*j + 5\/6*j**3 - 1\/6*j**4. Let w(m) = m**2 - 4*m - 2. Suppose -18 = -z - 21. Calculate z*w(q) - 2*v(q).\nAnswer: q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24944599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 127*r + 81.\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 w when three letters picked without replacement from ppxxw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 17\/4 of a millisecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 5*g**2 + 4*g. Let o be (-18)\/(-4) - 22\/44. Let u(z) = 4*z**3 + 14*z**2 - 11*z. Give o*u(c) + 11*n(c).\nAnswer: 5*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90969\/16 - 5691. Suppose -4*c - 1001 = 39199. Let v = 401949\/40 + c. Calculate the common denominator of v and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3550\/1933 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*3 + 3\/1. Suppose -4*a + y*a = 45. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j - 2. Does 18 divide v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**3 + 40*i**2 - 80*i - 8. Let h(c) = -8*c**3 + 41*c**2 - 80*c - 11. Let w(n) = 2*h(n) - 3*y(n). Give w(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 2*h**7\/105 - 7*h**6\/90 - h**5\/15 + 10*h**3\/3 - 11*h. Let b(v) be the second derivative of t(v). Factor b(y).\nAnswer: 4*y*(y - 2)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*k*m**2 - k - 168*m**2 + 755*m wrt m.\nAnswer: 22*k - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eveuneue. What is prob of picking 3 e and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 8*a - 16. Let s be v(7). Let m = 3597 + -32419\/9. Find the common denominator of m and (-2)\/(-22)*(s + 6).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 908, 3569, 8020, 14261, 22292, 32113?\n\"Answer: 895*n**2 - 24*n + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5132 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 720565837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.33 - 0.21. Let c = -2.88 - o. Let i = -9.6 + 10.1. Sort c, i, -4 in descending order.\nAnswer: i, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46153829*c*h + 5640398*c - 2 wrt h?\nAnswer: -46153829*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4555264796?\nAnswer: 2, 137, 8312527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 741254 (base 8) to base 6.\nAnswer: 5140540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 - (-39 - (-16 + 53)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -529 - -535. Let t(j) = -j**2. Let w = -7 - -8. Let a(v) = -3*v**2 + 6*v - 1. Let i(s) = w*a(s) - 2*t(s). Calculate i(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6) + (-49)\/42. What is the third smallest value in -1\/8, 29, p?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1422, 9055 in descending order.\nAnswer: 9055, 1422, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 + 22480*f - 134738. Calculate v(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10888 or -0.04?\nAnswer: -10888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1464 - -116106?\nAnswer: 117570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9155180\/49 or 186841?\nAnswer: 9155180\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 - (2\/1)\/(-2) and (1 - -11)\/(-3 + 102\/30)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -23.9\nAnswer: 215.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zataalttall. What is prob of sequence tatz?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.288 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t = -52*t + 5. Solve -2 = -b - 5*d, -4*d = -4*b + 7 + t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - u**2 + u + 1. Let a be o(2). Suppose -11*d = -9*d. Suppose m = -d + a. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-18))\/(k**2*k)*k*((k*k**(-10\/9)*k*k*k)\/k)\/k*k**(1\/5)\/k assuming k is positive.\nAnswer: k**(-851\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/78435 and -53\/4594050?\nAnswer: 32158350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8b62c3 (base 13) to base 6\nAnswer: 154405230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 3021930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7826055 and 122086458?\nAnswer: 610432290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + 0.87. Let h = 13 - 11. Suppose -h*n + 16 = -6*n. What is the biggest value in f, n, 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -263*z**4 + 10*z**2 + 9*z?\nAnswer: -6312*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(858\/4)*(-2)\/4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 1759960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 5*i**3\/2 - 112*i - 6. Determine s(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75225*x = 3*r + 75224*x + 3, -3*r - 5*x = 21 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 2:31 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 12, f: 5, x: 1}. Give prob of sequence xfii.\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1523*l + 1611*l + 704 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y. Let r(p) be the third derivative of 0 + 0*p**4 - p**2 + y*p + 1\/3*p**3 + 1\/60*p**5. Find the first derivative of r(t) wrt t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85176599074+0.0872\nAnswer: -85176599073.9128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.62 - -30.9. Let p = h - 0.28. Which is the third biggest value? (a) -1\/10 (b) -1\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 5*z - 71, 67*u - z + 43 = 69*u. Solve 0 = -12*w + u*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 3 = -4*t - 3*z, 5*t + 2*z = 1. Let p be t + 2 + -3 + 0. Let y = 3 + p. Solve 4 - y = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7102, 30, -3, -16, 2 in decreasing order.\nAnswer: 30, 2, -3, -16, -7102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from susssuusuuss. What is prob of picking 2 u?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -43. Let g = k - 82.7. Let i = g + 41. What is the closest to 0 in i, 1\/4, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151463869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**4\/4 - 13*z**3\/3 + 21*z**2\/2 + 18*z - 612. What is i(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 30\/(-20))*(-3 + 5)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76656721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**3\/3 - 156*m. Let y(g) = -g + 1. Let d(s) = s**2 - 3*s + 2. Let p(v) = d(v) - 2*y(v). Determine 3*o(a) + 6*p(a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -426.1 - -424.1. Sort b, -25, -0.4, 11\/5 in ascending order.\nAnswer: -25, b, -0.4, 11\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001875597 rounded to six dps?\nAnswer: -0.000188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*l - h + 8, 2*l + 4*h = 4. Suppose l*v - 357 = -y + 4*y, 2*v + 2*y = 182. Calculate the lowest common multiple of 12 and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-12)*36\/(-168)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 166375\/2 + 184525\/4*j + 167\/4*j**3 + 9405\/4*j**2 + 1\/4*j**4 = 0.\nAnswer: -55, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1708 - -1707.94. Is r greater than or equal to 66\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 437, 635, 833, 1031?\n\"Answer: 198*m + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 8*v - 180. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 6:58 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 189938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060410973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4*g = -52, -97 = -994*y + 989*y + g for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 568*w**3 - 1851*w**2 + 3*w + 3. Let c(r) = 569*r**3 - 1848*r**2 + 2*r + 2. Let m(y) = 3*c(y) - 2*i(y). What is the third derivative of m(o) wrt o?\nAnswer: 3426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -61. What is the nearest to 1\/3 in f, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43802?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 5*w**2 - 1\/6*w**4 - 1\/120*w**6 + 0*w - 1\/2*w**3 + 19 - 1\/30*w**5. Let u = 1 - 3. What is v(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2375 + 2371. Let p(k) = -2*k - 8. What is p(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 0 + 5*w**2 + 5\/24*w**4 + 0*w - 1\/6*w**3 - 1\/60*w**5. Let l be r(4). Solve -l*q = q + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**5 - 4*w**5 + 5*w**5 + (17*w**4 - w**4 - 3*w**4)*(3*w + 2*w - 4*w).\nAnswer: 14*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5746705 is divided by 84?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 325, 2, -5, -1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-4)\/174*11265\/22530.\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.197 less than -18355?\nAnswer: -18354.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 7*i**2 - 7*i - 2. Let q be g(-6). Suppose 0 = -0*c + q*c. Is 1\/4 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2924 and 10?\nAnswer: 14620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + -b4a7?\nAnswer: -b49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-38)\/171 - (-832)\/18. Let d = q + -12. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766 is divided by 102?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (414\/54 - 2) + (-1)\/(-3) + (-371)\/63.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -315.39212247781 - -0.2.\nAnswer: -315.19212247781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - r**2)*(-2 - r + 2).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93\/20 + 22\/5. Let j be 10 + 2\/4 + (-14)\/4. Which is bigger: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 9481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319 divided by 11.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -15106\/5?\nAnswer: -15106\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 3, -105 in descending order.\nAnswer: 4, 3, -2, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2 (b) -3 (c) -2 (d) -1 (e) -1\/58 (f) 2\/13 (g) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 11:14 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4309102 micrograms in milligrams?\nAnswer: 0.0004309102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1539) + -3)**2 + (sqrt(19) - ((sqrt(19) - -1*sqrt(19))*-3 + sqrt(19))) + (sqrt(57)\/sqrt(3))**2*1 + sqrt(19).\nAnswer: -47*sqrt(19) + 1568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 0. Let y be 0\/(-5) + 2\/6. Put d, -2\/9, y in increasing order.\nAnswer: d, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84413 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 2, 30, 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7049120?\nAnswer: 2, 5, 13, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38639160 + -1.2.\nAnswer: 38639158.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -11 - -20 - 1 - (1 - 0)) + 48?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 439863692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 30 = 3*p, 2*l - 35 = -2*p - 3*l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 4 + -1 + 6\/(-2). Let a be 1 + ((-15)\/5 - c). Put a, -4, 2, -3 in ascending order.\nAnswer: -4, -3, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*w**3 + 86*a**3 - a**2*w - a**2 - 168*a*w**3 + 74*a*w - 16*w**2 wrt w.\nAnswer: 6*a**3*w - 1008*a*w - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 39. What is i(-38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**2\/7 + 3320724*a\/7 + 1378400985522\/7 = 0?\nAnswer: -830181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3))**(-11)\/((i**(-5)\/i)\/(i\/(i**(2\/15)*i)))*((i*i\/(i\/i**5))\/i**7)\/((i*i\/i**(4\/5))\/(i*i**(-1\/7))) assuming i is positive.\nAnswer: i**(83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/31 (b) 48 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.7 - -5. Let l = 75 + -19. Let c be 14\/l - 1\/(-8). Put 5, i, c, -6 in ascending order.\nAnswer: -6, i, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5*211\/(18568\/7810)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12282 divided by 267.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7529785 and 3423?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - (-17 + (83 - -7)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -25*n + 52. Give s(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 211925 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) -2 (b) -21.3 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 2530 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(9\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 157\nAnswer: -4\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000101011001100 (base 2) in base 12?\nAnswer: -b2410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-8)*255\/(-153)*(-3)\/(-15).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29328207 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -156 - -226. Suppose -5*m + 4*u = -70, -5*m + 5*u + f = 7*u. Suppose -5*h = -2*h - 21. What is the greatest common divisor of h and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 960 and 840.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1373404 (base 10) to base 14.\nAnswer: 27a724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -2)*(-34)\/4 + 5. Suppose 27*w - 2041 = -4*t + s*w, 0 = -t + 4*w + 484. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (3 - (-85 - 0)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4673 + 3955 - 4315 = -197*k + 3044 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152)\/(-95)*(-105)\/294.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -6*g, -5*o + 23208 = -g - 2627. Is 126 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20953.\nAnswer: 23, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 + 0. What is the remainder when z is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/48 and -31\/132?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113510, 453941, 1021296, 1815575, 2836778?\nAnswer: 4084905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-40) + 66\/10. Let q(o) = 5*o - 10. Let a be q(y). What is the greatest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12102321 + -22?\nAnswer: -12103003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 + 83 = 3*d. Calculate the remainder when d is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. What is the second derivative of 5*o**3 + o + 2*o**5 - 5*o**u + 0*o**3 wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3448848 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d = 27*d - 82*d + 3948 for d.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5\/5 + 16*w**4\/5 + 10*w**3 + 76*w**2\/5 + 56*w\/5 + 16\/5.\nAnswer: 2*(w + 1)**2*(w + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16209 + 65462. List the prime factors of m.\nAnswer: 49253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36\/(-27) - (-48)\/9. Solve 2*v - n = -10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 25 = 0, -3*w + 5 = v - 10. Let x be (2\/4)\/(5\/v). Let i be 41\/(-2) - -9 - -11. What is the third biggest value in 0.9, i, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 111*t + 1139. What is d(-10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210 and 360?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -754467722 and -1.\nAnswer: -754467723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-45)\/120 - (4 - (-628660)\/32). What is n rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*n = 4*n - 156, -4*n - 376 = -5*o. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 p when three letters picked without replacement from {k: 4, p: 15}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1477323 (base 9) in base 7?\nAnswer: -6650361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-91)*7\/(-16)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 57*o - 523. Determine i(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/46 and 79\/138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 131645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**4\/24 + g**3\/6 - g**2. Let m(d) = -d + 1. Let t(c) = c. Let q(v) = m(v) + 4*t(v). Let x be q(1). Calculate s(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 6*m**2 + 15*m - 6. Let q be g(3). What is the highest common divisor of 22 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -59805 + 21*u**2 - 3*u - 14*u + 59751 - u**3. Determine i(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39.039 + -39.2. Round w to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4\/3, -0.09, -0.7?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 5. Suppose -5*x + 2 = -38. Let c be t(x). Let y = c + 6. Solve -3*a + y = 0, 4*a + 11 = -5*z + 43 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 256 and 18305344.\nAnswer: 73221376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 16*a + 36. Let i(v) = v**2 - 15*v - 37. Let u(q) = -6*i(q) - 7*r(q). Calculate the remainder when u(25) is divided by (1\/2)\/((-2)\/(-48)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 15) + (9 - 7 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 10. Let k be y(3). Let a be (k - (1 - 3))\/(-2). Let b be (-27)\/18 + (-22)\/(-4). Sort 6, 2, b, a in ascending order.\nAnswer: a, 2, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*x = -6*x - 28, -5*v + 38 = -4*x. What are the prime factors of 9 - v - -67 - (1 + -1)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from uvuuvv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 2:06 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, c: 1, h: 2, f: 1, b: 2, g: 1}. Give prob of picking 1 h and 1 z.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 3*t + 1. Let g be r(2). Let i = -1 + g. What is the highest common divisor of 8 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 17 + 0*g + 3*g - 8*g. Let j be h(-5). Let v be 0*(-4 + 11\/j). Solve v = 5*z + q + 18, -z = -5*q - 7 - 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 541 + -304. Let p = -257 + u. Let l(b) = b**2 + 18*b - 34. Calculate l(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29022*y**3 - 28704*y wrt y?\nAnswer: -174132*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9155856 divided by -944\nAnswer: -9699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 102?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -76*q + 68. Let l(w) = 25*w - 21. Determine 21*l(k) + 6*n(k).\nAnswer: 69*k - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1977863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 7*o - 5. Let r be f(-5). Suppose -4*m + r = -a - 0*a, 0 = -4*a + 12. Suppose -3 = -m*w - 1. Solve -w = 5*d + 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1259*l**3*z**3 - l**3*z - 299*z wrt z?\nAnswer: -7554*l**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5344921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:52 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 1658*q + 12 = 1657*q, 3*c + 34 = -5*q for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1630 - 357. Let o = -1265 + l. Let f = 2.1 - 2. Which is the third biggest value? (a) f (b) -2\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 15*v - 16. What is a(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 502.985 + -503. Let v = 0.125 - 0. Let j = v + z. What is j rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -755, -709, -581, -329, 89?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 98375*z**2 + 196765*z + 98385.\nAnswer: -5*(z - 19677)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24050, 48, -3 in descending order.\nAnswer: 48, -3, -24050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4, -3*q = -2*t + 5*t - 78. Suppose -q*b - 103 = -31*b. What are the prime factors of -3 + 3 + -3 + b + 1?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2672*r**2. Let l(t) = -t. Give l(a(j)).\nAnswer: 2672*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.0095 rounded to 0 dps?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -42122 at most as big as -42124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -167380450 divided by 1025\nAnswer: -163298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*6*(sqrt(11) - (sqrt(11) - (sqrt(396) + -2 + sqrt(396) + sqrt(396))))*-4)**2.\nAnswer: -41472*sqrt(11) + 2055168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 12:59 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - (2*sqrt(90) - sqrt(90))*2)\/(sqrt(108) - sqrt(108)*2 - sqrt(3)))\/((sqrt(108)\/sqrt(3)*2)\/((-2*sqrt(42))\/sqrt(7) - sqrt(6))).\nAnswer: -3*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 220 divided by 1383061\nAnswer: 220\/1383061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 23*w**2 - w + 1154. What is p(-20)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -1\/3, 2\/3, 4, -5, -0.6 in ascending order.\nAnswer: -5, -0.6, -1\/3, 2\/3, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q**3 + 3*q**3 - q**3 - 1 as f*q**3 + u + z*q + i*q**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p. Let o(f) = 3*f**2 - 5*f - 5. Let b(h) = -3*h + h - 1 + 3*h**2 - 2*h**2 - 1. Let i(l) = -15*b(l) + 6*o(l). Give u(i(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + w - 35. Let c = -15 + w. Suppose -v + z + 0*z = -4, 0 = -5*v + 2*z + c. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppww when four letters picked without replacement from {q: 1, w: 2, a: 1, p: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3282834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 6:22 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(6*-2*(sqrt(1100)*-2 + -2 + sqrt(1100) - (-2 + sqrt(1100) + 1)))**2.\nAnswer: 23040*sqrt(11) + 2534972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1040322000?\nAnswer: -1040322010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*d - 8 = -126*d. Solve g + d - 3 = -y, -3*g = 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1165917 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/3076810 and -109\/3356520.\nAnswer: 36921720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111000 - -1010111001?\nAnswer: 1110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/150)\/(525\/250).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2001032 + -10?\nAnswer: 2001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2011?\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**4 + 0*y**4 - 2*y**4)*(25 - 25 - 8*y) + (-58*y**2 + 58*y**2 + 11*y**3)*(4*y**2 - y**2 - y**2).\nAnswer: 14*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + f + 11. What is the remainder when s(0) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 = h - 24. Suppose -h = -3*c + 51. Let d be (-63)\/147 + c\/14. Calculate the greatest common factor of d and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 6:45 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2291355153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 0*g**2 - 1 - 144*g + 149*g - g**2. Let q be o(0). Which is the biggest value? (a) -4 (b) 1\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.6. Let q be (-10)\/(-3) - 14101\/4071. What is the third biggest value in 4, 3, x, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -859 - -856. Let c = -2\/5 + 1\/15. What is the smallest value in c, 5, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 22 - 14. Let q be ((-10)\/(-8))\/(2\/l). Suppose 11 + 19 = q*j. What is the least common multiple of j and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c - 130 = -4*c - 3*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 2*p**2 + 17*p - 20. Let j be g(4). Solve -j + 17 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**3*j**2*q**3 - 149*i**3*j**2*q - 2*i**3*q - 10*i**2*q**3 - 6*i*j*q**2 wrt j?\nAnswer: -4*i**3*q**3 - 298*i**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -28. Suppose -4*j + d = 5. Suppose 0 = a + g - 10, -5*a + 0*g + 56 = j*g. Solve h + a = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u + 2. Let i(x) = -21*x + 11. Let o(g) = 6*i(g) - 33*v(g). Let f(b) = -2*b + 9 + 7 - 16. Give o(f(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16, -39, -64, -91, -120, -151?\n\"Answer: -d**2 - 20*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00802641 to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 2 + (-2 + 2 + 2)*(3 + 3 - 7))*(2 + f - 2 + (-1 + 2 + 1)*(5*f + 2*f - 5*f) + 9*f - 2*f + 9*f)*(-f + 4*f - 2*f) as v + n*f**2 + b*f and give n.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 2)\/((-12)\/1194) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 12*o**2 - 31*o + 9. What are the prime factors of i(-11)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -26 and 0.2681139759.\nAnswer: -25.7318860241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 336 - -6?\nAnswer: 33c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:45 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 3*a**2 - 4*a**2)*((-41 - 19 - 60)*(-4 + 4 - 2)*(17 + 1 + 19) + 1 - 1 - 1).\nAnswer: -8879*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, 0.2, -0.2, 19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/32 + 48285\/154512.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 154085656?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -11, 2, -2\/11, 0.1, 0.6 in ascending order.\nAnswer: -11, -2\/11, 0.1, 2\/9, 0.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*c**2 - 2*c - 3*c**4 - 13*c**4 + 1 - 62*c**2 to the form z*c**3 + t + y*c + u*c**2 + f*c**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2978720 and 335106?\nAnswer: 26808480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 50\/(-30)*(3 + 168\/(-35)). Let c(p) be the second derivative of 1\/10*p**k + 0 + 0*p**2 + 1\/10*p**4 + 3\/100*p**5 + 9*p. Factor c(d).\nAnswer: 3*d*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*2)\/(-2) - (-468)\/208 - (-22422)\/(-12120).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 4804198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnnn. Give prob of picking 2 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66455 and 140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 11*k**2 - 10*k - 107. Give w(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 6*t - 6. Is a(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2\/3 + 3928*r\/3 + 2624.\nAnswer: -4*(r - 984)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*q + 191*q = 34*q + 59*q + 1708 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 - 191 - 5*x - 34 - 225.\nAnswer: -5*x - 523","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.28315nm to centimeters.\nAnswer: 0.000004328315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139203?\nAnswer: 3, 15467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 326.5 rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 12 = -0*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.6 + -5. Let h = 0.38 + 1.62. Which is the biggest value? (a) 0 (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -10*p - 1. Let x be c(1). Let f = x - -10. Is 88 + f\/(2\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 621 divided by -13944\nAnswer: -207\/4648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 7*s**2 + 6*s - 2. Let x be w(-6). Let j be 11720\/(-15)*x\/6924. Let m = j - 2\/577. Which is the nearest to 0? (a) -0.3 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220 and 2244374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 6, 292 = 4*n + 4*v. Suppose q - n = -i, q + 36 = i - 35. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 12) to base 7\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h = -3 + 30 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 104 and -1500?\nAnswer: -156000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1196\/11001 - -2\/579. Suppose -2*y = -y. What is the closest to -3 in y, l, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 10*j**2 + 33*j - 140. Let m be n(-6). Let w(h) = -5*h + 78. Calculate w(m).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 + -1 + 8424\/78 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -0.1 (c) 5 (d) 1\/4 (e) -34\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 165943608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/19)\/(2\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4144608 and 2132.\nAnswer: 4144608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -0*r + 70. Suppose -32 = -7*g - g. What is the highest common divisor of r and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2219, 2227, 2245, 2279, 2335, 2419, 2537, 2695?\n\"Answer: y**3 - y**2 + 4*y + 2215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30513 + 0?\nAnswer: 30513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 39\/2*(8\/24 - 1). Let p(t) = 2*t**3 + 26*t**2 + t + 13. Let i be p(f). Solve i = -11*s + 6*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 7\/60*w**5 + 7\/120*w**6 + 6 + 0*w - 7\/24*w**4 + 0*w**3 - 2*w**2. Let g(r) = 3*r**3 + 4*r**2 - 4*r. Determine 7*g(h) - 4*n(h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 83.928 and 1.86.\nAnswer: 85.788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(6 + (-35)\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*m. Let y be (5\/35)\/((-20)\/350). What is the second biggest value in m, y, -1\/5, -0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k + 4. Let t(m) = m + 9. Determine 2*t(h) - 5*v(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2897, 11760, 26603, 47426, 74229, 107012, 145775?\nAnswer: 190518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 36. Solve -x*b + 2*b = -2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 20 = -3*k. Let q be (-26)\/k + 6\/(-10). Which is the second biggest value? (a) -2\/9 (b) q (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 8*t**2 - 5*t - 3. Suppose 4*l - 32 = 2*b, b = -5*l - 4 + 37. Does 3 divide z(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22001012122212 + 12?\nAnswer: 22001012200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -133 times 39.81\nAnswer: -5294.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -35. Calculate the remainder when 10 is divided by g\/35*(0 - -10)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 250*x**2 - 4*x + 3. Let z(r) = 250*r**2 - 3*r + 2. Determine -2*u(p) + 3*z(p).\nAnswer: 250*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4987, -9862, -14507, -18808, -22651, -25922, -28507, -30292?\n\"Answer: 19*r**3 + r**2 - 5011*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2810.6 + -2811. Put f, 1, 1\/2, -9 in ascending order.\nAnswer: -9, f, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -3*d + 14*d**2 + 1\/3*d**3 + 0*d**4 - 3\/20*d**5 + 0 + 13\/120*d**6. Find the third derivative of p(f) wrt f.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 4*j - 88, -2*j + 30 = 4*s - 3*s. Let t be -3 - (-6)\/s*16. Sort -5, t, -1 in decreasing order.\nAnswer: t, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*b - 4, -2*f - 1 = -0*b - b. Let c be 12\/66*3\/(-1). Is b at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 3*b - 4*b)*(0*b + 0*b - b) to f + h*b**2 + o*b and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3. Let x(s) = -s**2 + 21. Let z(b) = 21*f(b) + 3*x(b). Let n(a) = -a**2. Calculate n(z(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*1*-2)**2 + -1*(sqrt(7) + 2)**2.\nAnswer: -4*sqrt(7) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2. Suppose 0 = 4*w - 2*x - 28, -7*w + 2*w + 25 = -5*x. Let n(k) = -1392 + 1392 - w*k. What is r(n(b))?\nAnswer: 243*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1206 - -1223. Solve 0 = n - t + 5, -3*n + t = n + q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.3 + 7.4. Let p = x + -29.1. Let g = 25.99912 + p. What is g rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 416865.\nAnswer: 1\/138955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 2, 0.3, -632, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -15. Is m at most -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/54 and 19\/1014.\nAnswer: 9126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i + 1 - 4*i + 0 + 1 - 4*i**3 to s*i**2 + k*i**3 + d*i + m and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Suppose 7*v = 3*w + b*v, w - 4*v = -7. Let o = w + -1. Solve t - o = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (18668\/(-195))\/(3\/(-15))*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f - 44 - 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (4 + -3 + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-40) - 2\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 402717?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -2391546 and 57.1667.\nAnswer: -2391488.8333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 8. Let q be f(4). Let b be (-1 + q - 4) + 0. What is the highest common divisor of b and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 27 - (-3 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 8) in base 6?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 17*w - 18*w = 8, -4 = 2*w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (4123\/380)\/31*2*2\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**2 + 182*c - 706. Calculate b(-49).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805823 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1715 or 262\/99?\nAnswer: 262\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5343313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (86 - 46*i - 86)*(645 + 1940 + 20 - 646 + 1363) as c + n*i and give n.\nAnswer: -152812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x**3 - 3*x + 4*x**2 + 5*x - 4*x**2 as j*x**3 + h + r*x + w*x**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -829*g - 11 - 165*g + 11.\nAnswer: -994*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + k = -435, -15*k + 18*k - 15 = 0. What is the remainder when u is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 464 and 787408.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(11)*-1)**2 + sqrt(44)\/(sqrt(4) + sqrt(4) + sqrt(100)) + 1*(sqrt(1584) + sqrt(1584) + 3)**2.\nAnswer: 953*sqrt(11)\/7 + 6372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4227 = 40*r - 44*r, -2*r + 2096 = -2*s. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 59 - 3 + 26 - 3*n to t + z*n and give t.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42584 by 12.\nAnswer: 10646\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - l - 6*l + (1 - 1 + 3)*(3*l - 3*l + 2*l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 39. Let b = -22.9948 - q. Round b to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2 - 3*o - 4. Let d be ((-2)\/(-3))\/(6\/162). Let s = -27 + d. Let m(b) = 11*b**2 - 6*b - 9. Determine s*l(h) + 4*m(h).\nAnswer: -h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l + 95. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122743 (base 11) to base 10\nAnswer: -193889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 2094?\nAnswer: 18846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*n - 18 = -67, -71 = -5*w - 3*n. Calculate the greatest common divisor of w and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -812?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*h**3 + 184*h**3 + 138*h**3 - 699*h**3 + 191*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j + 17243 - 17243 - 6*j - 3*j. Let a(q) be the first derivative of -15*q**2\/2 + 3*q - 1. What is a(x(u))?\nAnswer: 75*u + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20128 and 47360?\nAnswer: 805120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p. Let x(a) be the second derivative of -a**7\/630 - a**4\/12 + 3*a. Let u(v) be the third derivative of x(v). Determine u(h(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -3, -2 in descending order.\nAnswer: 1, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -31, -64, -99, -130?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j + 3*j - j**3 + 8*j + 2*j**3 - 7*j**2. Let t be (1*-12 - 0)\/(-2). What is r(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.149354 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5 - 4*d**3 + 3*d**3 - 7*d**2 + 4*d + 3. What is the remainder when b(-8) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2. Let f be (-2 - 162\/(-12))*6. Let j(m) = -93*m - f*m - 44*m. Determine w(j(t)).\nAnswer: -42436*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 363 - 297. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1275792 divided by -1?\nAnswer: 1275792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/(112\/160).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -5, -0.48052?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (16 + 2 + -13 - (-28 + 1))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.62 - 29.7543. Round f to 3 decimal places.\nAnswer: -0.134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g - 4. Let c(s) be the first derivative of 3*s**2\/2 - 2*s + 7. Determine 7*c(a) - 4*p(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t + 20 - t**2 + t**3 - 15 - 3*t**2. Let c be i(5). Suppose l + c*k = 391, k = -5*l - 2*k + 1955. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -63. Let h(d) = -d - 4. Let m be h(-6). Let w be m\/(-8) - (-495)\/44. Calculate the greatest common divisor of w and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 159.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 647189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0.9. Let r be (-2775)\/348 - (-17 - -9). Let v = r - 277\/1740. Sort 0, v, a in increasing order.\nAnswer: a, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 - 10. Let v be w(2). Sort -5, -3, v, 2.\nAnswer: -5, -3, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*g + 123, 5*d - d + g + 94 = 0. Let w = d - -29. What is the lowest common multiple of w and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**4*n**2 - 127*h**3*n**2 + h*n**2 - 251*n**2 wrt h.\nAnswer: -12*h**2*n**2 - 762*h*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6264? (a) 0.1 (b) -0.02 (c) 0.09 (d) 5 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137650 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 66, 266, 478, 702?\n\"Answer: 6*r**2 + 182*r - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2. Let j(b) be the second derivative of 21*b**3\/2 + 4*b - 30. Calculate k(j(y)).\nAnswer: 3969*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 50 = -65. Suppose -5*h - 2 = -12. Differentiate 0 - 1 - 30*y**2 + r*y**h wrt y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - n = -7, 2*y + 5*n - 3397 + 3350 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 4*g**2 - 6*g - 3. Suppose -2*t = 5*c + 15, -3*t - c = c + 17. Let a be b(t). Let d(j) = j - 1. Let m be d(a). Solve -3 = z - m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1375 divided by 11\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + 4*(sqrt(5) + (sqrt(5) - (sqrt(5) - (sqrt(5) + sqrt(80))))) - sqrt(720)\/sqrt(9).\nAnswer: 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 s when three letters picked without replacement from {o: 1, h: 1, s: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.7 - -10. Let z = 23 - p. Which is the nearest to 1\/4? (a) z (b) -2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 815*q**3 - 420*q**3 - 15 - 435*q**3 + 18.\nAnswer: -40*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 9) to base 2\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111570 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 132376.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 12. Let o be z(-9). Let m be (o - 4)*106\/(-2). Let p = -32 + m. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, -1768, -0.06, 0.1 in decreasing order.\nAnswer: 0.1, -0.06, -0.14, -1768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**2*r)\/(r*r\/(r\/((r\/(r\/r**(-3))*r)\/r)))*r*r*r\/r**(-5\/6)*r*r**0\/r*r*r assuming r is positive.\nAnswer: r**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -b + 11. Let w be 1 + ((-58)\/(-4))\/(1\/b). Suppose y + w = 6*y. Solve -2*m - 2*q - y = -0*q, -4*m = -5*q - 24 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1.3, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -22\/4373565 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-1)\/(4\/(-2))). Let i be (m\/(-5))\/((-4)\/60). Solve -3*k = 3*l - i, 6 = 4*k + 3*l + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 13 = 2*s, 18 = 5*z + 3. Let p(b) = b**2 - b - 29. Let x be p(s). Calculate the highest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 - 110*n**2 + 3*n - 161. What is l(55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -59.3*5\nAnswer: -296.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**5\/70 - 3*i**4\/14 + 8*i**3\/21 + 297*i + 230. Let j(r) be the first derivative of u(r). Suppose j(g) = 0. Calculate g.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -426 + 1436 = -442*c - 316 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2032*w + 2054*w = 220 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 15 = -3*o, 6*r + 15 = r - 3*o. Let h(b) = 11*b**2 + 4*b - 15. Let i be h(5). Let p = -268 + i. Solve -5*s - p = -4*x, -s = -3*x - r*x + 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 17. Suppose -5*a + 5 = 5*k - 0*a, k = a + j. Let r(s) = 11*s**3 + 2*s**2 - 9*s - 9. Let p(i) = -5*i**3 - i**2 + 4*i + 4. What is k*r(w) + 9*p(w)?\nAnswer: -w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -421245\/56707 + -1\/8101. Calculate the common denominator of 100\/(-154) + (-2)\/(-7) and k.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3321)\/(-45) - (-2)\/10. Suppose g = m + 5*j, -40 = 2*m + j - 215. Suppose 3*t - 269 = -m. Is t a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v - 11. Let y be 672\/(-784) + 6\/7 + (-11)\/11. Let d(k) be the first derivative of k**2\/2 - k + 2. Give y*j(t) + 5*d(t).\nAnswer: t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t - 42 = 16 - 353 - 425 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -128, -191, -242, -275?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 11 + 0*z**2 + 8\/3*z**3 + 7*z. Find the first derivative of q(m) wrt m.\nAnswer: 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a - 3*a - 114 + 113 + 3*a. Let d be h(4). What is the tens digit of (-225)\/(-2) + (1 - d\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701 is divided by 227.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8491*a**3*h**2 - 2*a**3*h + 12*a**2*h + 456*a*h - 5*h**5 wrt h.\nAnswer: 16982*a**3 - 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -961 + 31*i - 1\/4*i**2.\nAnswer: -(i - 62)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2622*j**5 + 3156*j**3 + 25*j + 914519 wrt j.\nAnswer: -52440*j**3 + 18936*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6710466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 8*j - 216. Suppose v + j*c - 28 = 23*c, 4*c - 16 = 0. Calculate the highest common factor of v and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1728) - ((sqrt(1728) - (3 + sqrt(1728))) + -4)) + 2 + -3 + (sqrt(972)*5)**2.\nAnswer: -24*sqrt(3) + 24292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 21559000 to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4852.3 - 4853. Which is the biggest value? (a) -10 (b) -0.1 (c) z (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4620269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + -8 + 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -41887*w**2. Let q(i) = 3*i. Calculate q(o(c)).\nAnswer: -125661*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - 73. Let i = 12263 + -12231. Determine o(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 15.82.\nAnswer: -4.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 4. Let i = 4 + s. What is the second derivative of i*j - 3*j + 2*j + 6*j**3 - j wrt j?\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3140721247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-339802)\/22517 - (-5)\/(-2)*-6\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**6*t**(-3\/19)*t**(-11)\/(t*t**5) assuming t is positive.\nAnswer: t**(-212\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsphtxy. What is prob of picking 1 h, 1 p, and 1 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -372 divided by 1\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, 0.3, 16804 in descending order.\nAnswer: 16804, 0.5, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 43023122 (base 5) to base 9\nAnswer: 610222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*s**4 + 85*s**2 - 32*s + 1?\nAnswer: 48*s**2 + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 121*a**2 + 34*a**2 + 7*a - 10*a as j*a**2 + f + t*a and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oorrroooorooor.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 - 67. Which is the second biggest value? (a) 1\/7 (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 2:40 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.04, 1, -2\/5, -2434?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -1) + 7 - (9 + -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14792 - 221*u + 18*u**2 - 9*u**2 - 7*u**2 - 123*u.\nAnswer: 2*(u - 86)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 6:18 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5505 - 2051 = -157*m for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 3*j**2 - 4*j - 1. Let n(z) be the first derivative of z**4\/4 + z**3\/3 - z**2\/2 + 14. Determine 3*n(k) - p(k).\nAnswer: 2*k**3 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-324)\/8*(-1 + -1 + 0). Let u = l - 65. Solve 5*q + s - 4*s + u = 0, 0 = -q - s - 8 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 679 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h. Let z(s) be the third derivative of -4487*s**5\/60 + 2980*s**2. Determine z(a(f)).\nAnswer: -17948*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -125*y - 128*y + 5 + 262*y. Let a(w) = -10*w - 6. Give 6*a(u) + 7*k(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 357\/5 (b) 5 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - k)*(222*k + 26*k - 613*k + (-2*k - 2*k + 2*k)*(1 + 2 - 2)).\nAnswer: 367*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44233934 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1.1, -1\/5, 0.2, 5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 96*j + 29*j - 750. Suppose 0 = m + 2*m - 12. Let y = j - m. What is the highest common factor of y and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 2*b - 2*b. Let d be 3\/1 + 0 + 1. Let k(m) = 6*m**2 - 3*m. Let y(t) = -7*t**2 + 4*t. Let p(z) = d*k(z) + 3*y(z). Determine p(h(i)).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from jtjftjjfjjjjfftjfjft?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -7*n + 12. Calculate the remainder when 214 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 12 - 13)*(6*g + g - 2*g).\nAnswer: 140*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5552473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-4) + -1)*(-56)\/(-210)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -710, 6, 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 751190 divided by -187\nAnswer: -68290\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 12:02 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*a - 6*a + 5*a**3 - 7*a**2 + 34*a wrt a?\nAnswer: 30*a - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33824 and 1680?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 25112242.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4426572ng in milligrams?\nAnswer: 0.0000004426572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 - 395\/150 - (-14)\/(-70) and -9\/3466.\nAnswer: 10398","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 2\/17 in increasing order.\nAnswer: -3, 2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1612 + 37035\/23. Let v(h) = -2*h**2 - 2*h + 138. Let w be v(0). Find the common denominator of w\/(-20) + (-10)\/4 + 2 and x.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 33601*w + 40380. Let b(v) = -3360*v - 4037. Let r(u) = -21*b(u) - 2*t(u). What is the first derivative of r(h) wrt h?\nAnswer: 3358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - 3*k**2 - 10*k + 37. Give g(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1614, -1617, -1620?\nAnswer: -1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + ((3 + sqrt(684))*-5 - sqrt(684)) + (4*sqrt(684))**2 + -2.\nAnswer: -30*sqrt(19) + 10927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 17120*h**2 - 7888400*h - 981552000.\nAnswer: -5*(h + 260)**2*(h + 2904)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.058 from -25.\nAnswer: -25.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 - 297 + 85 + 119 - 13*f.\nAnswer: -13*f - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*p - 14. Let d = 11 - p. Find the second derivative of -d*w**2 + 0*w**2 + 3*w**2 + 5*w + 8*w**2 wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 + -0.17. Let h be (3 - 2)*2\/(-2). Let b = h - -2. What is the nearest to b in 0, -5, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, -4, -1, 20, 40, 1.\nAnswer: -84, -4, -1, 1, 20, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -924 = -14*b + 26*b. What is the smallest common multiple of 21 and (-2296)\/b + 1\/22*4?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + c - 3*c + 18 = 0, 5*z = c + 5. Suppose -4*g + j + 10 = -3, 0 = -3*g - 4*j + 24. Suppose 4*r + a = 1, -g*r + a = -10 + 3. Is z > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwzwywyczzzyyyw. Give prob of picking 2 w and 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.8733 - -0.7474. Round b to 2 dps.\nAnswer: -1.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/20)\/((-6)\/(-144)*18)*(-6)\/(-174).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*z**4 + 141\/2 + 363\/4*z**2 - 39\/4*z**3 - 605\/4*z = 0 for z.\nAnswer: -47, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1195264, 2390241, 3585218, 4780195?\n\"Answer: 1194977*t + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4020957866 to the power of 1\/2, to the nearest integer?\nAnswer: 63411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/12 - -7\/36. Let k = -5.13 - -5.1. Let s = 3277.3 + -3277. Which is the biggest value? (a) s (b) k (c) x (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 10:26 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3323, -3430, -3607, -3848, -4147?\n\"Answer: z**3 - 41*z**2 + 9*z - 3292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 624 - 306. What are the prime factors of q?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*c + 98. Let k(l) = 168 - 168 - c*l. Let d(f) = -2*f. Calculate d(k(q)).\nAnswer: 28*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130771.67 + -127024. Let w = g + -3730. Round w to zero dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - -2) + (-2 + -1 - -5 - 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + sqrt(66)*-2 + sqrt(66))*-6)\/((sqrt(24)*-2)\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l**2 + 3*l + 6*l**2 + 5 + 3*l. Let b(p) = -5*p**2 + 24*p + 20. Let r(y) = -2*b(y) + 9*g(y). Calculate the remainder when 17 is divided by r(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 11*d - 14. Let w(v) = v + 2. Let j be w(7). Let h be o(j). Let x(p) = 3*p - 6. What is x(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r - 372 = 0. Let b be 3\/(-6) + r\/(-6). Solve -w = 2*t - 6*t - b, -25 = 2*w + 3*t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2160 and -109\/192780.\nAnswer: 771120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4205 divided by -13?\nAnswer: -4205\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10739?\nAnswer: 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 534.4 - 540.8. Is -23\/4 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - p**3 - p**3)*(-3 + 3 + 3).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 24*u**2 - 120*u - 2. Let s be w(5). Let h(d) = d**3 - 4*d**2 + 5*d - 2. Let k(j) = 3*j**3 - 13*j**2 + 16*j - 7. Determine s*k(y) + 7*h(y).\nAnswer: y**3 - 2*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*q - 2 - 16*q - q**2 to x*q**2 + w + y*q and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**6\/60 + j**5\/40 - j**4\/8 - 5*j**3\/12 - j**2\/2 - 7*j. What is d in n(d) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 1312.001?\nAnswer: 1314.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96518 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80\/117 - 2\/117. Let q(r) = -r**3 - 6*r**2 - 9*r - 15. Let o be q(-5). Put -1\/3, 0.1, o, d in descending order.\nAnswer: o, d, 0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126 + -18. Suppose -99*h - i = -105*h. What is the remainder when 40 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 246.2577 micrograms to nanograms.\nAnswer: 246257.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71368838 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47, 51, 55?\n\"Answer: 4*s + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.44 at least -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 20 - 2*s**2 - 16.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 - 739 + 14*c**4 + 2*c**4 - 12*c**3 - 744 + 1485 to v + y*c**3 + i*c**2 + o*c**4 + z*c and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*r - 20 + 86, -3*o + 92 = -r. Solve 5*l + o = -3*u, u - 6 + 8 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + -3 + sqrt(2057)*1 + 5.\nAnswer: -1 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -15*s - 12. Solve s*k = -8 + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*l - 2019018 - 1144973, 5*q + 4*l + 3954988 = 0. Round q to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1541113740 and 1476.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186701409 by -6.\nAnswer: -62233803\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1186498.\nAnswer: 2, 17, 34897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/216 and 47\/738.\nAnswer: 8856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52898824?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 320 + -215. Suppose -5*x = 2*g - 50, -g - 2*x + 23 = -0. Calculate the highest common divisor of g and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 4520389*m + 4520389*m + 958.\nAnswer: 2*m**3 + 958","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 2502.\nAnswer: -3, 0, 2502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from ogkkktooloogo?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/6 - (-7 - -8). Let h be -3*-5*3\/(-135)*-7. Factor -23\/3*r**4 - 2\/3*r - h*r**5 + 0 - g*r**2 - 9*r**3.\nAnswer: -r*(r + 1)**3*(7*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + 1*364\/(-143). Which is greater: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 494 by -38.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 14*t**3 - 3*t**2 + 3*t. Let i(o) be the third derivative of -9*o**6\/40 + o**5\/12 - 5*o**4\/24 + 65*o**2. Determine -5*f(p) - 3*i(p).\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 54*c**2 + 2*c - 106. Give g(54).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162*p**4\/7 - 198*p**3\/7 + 38*p**2\/7 - 2*p\/7.\nAnswer: 2*p*(p - 1)*(9*p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -677232 (base 12) in base 4?\nAnswer: -12102332012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5)*(-p + 2*p + 0*p)*(-p - 3*p + 3*p)*(2*p + 0 + 2 - 5).\nAnswer: 2*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 h, and 2 g when four letters picked without replacement from khxhggtkkxgtkkh?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 9:30 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29400 and 88200?\nAnswer: 88200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzicclwwwiclcllji. Give prob of picking 1 c and 1 w.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -92*f**2 + 180*f**2 - 89*f**2. Let r(j) be the third derivative of 0*j**3 + 0 + 2*j**2 + 0*j + 1\/24*j**4. Give z(r(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1206\/8 - 27\/36. Calculate the common denominator of ((-1)\/(-9))\/(4\/r) and -13\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1409 (base 12) in base 3?\nAnswer: 10011200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37596456?\nAnswer: 2, 3, 113, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/((-107)\/(-214)). Which is smaller: -2\/5939 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11, -150, -361, -680, -1143, -1786, -2645, -3756?\n\"Answer: -6*n**3 - 97*n + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 17, 30, 41?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((3\/(-5))\/3)\/((-2)\/70). Suppose 2*o = x + 5, -15 = -z*o + 9*o - 5*x. Solve y = -5*j + 13, o = 5*y - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 - 38*h + 38*h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 0*h = 12. Let a be 27\/135*(h + 8). Let z be ((-3)\/(-2))\/3*-2. What is the third smallest value in z, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5 + (-161)\/(-28))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 12:59 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 2*m**2 - 2*m + 4. What is the remainder when z(3) is divided by (-10)\/2 + 11 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23 + d?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.8 - 30. Let t = r + -0.8. Suppose -o + 5 - 3 = 0. Which is the closest to -0.1? (a) 0.1 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46467*r**2 - 50*r - 46649*r**2 + 54*r.\nAnswer: -182*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 141520217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 8:24 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1047 + -5812?\nAnswer: -6860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279*d - 5*l + 2 = 283*d, 0 = -d - 5*l - 7. Solve 7 - d = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 8 + 34. Suppose 4*v + v - 1755 = 0. Suppose 4*f - v = f. What is the highest common factor of f and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*k - 2*k. Let s be (-1)\/(-3) - 59\/(-3). Suppose -s - 4 = -3*c. What is the least common multiple of c and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.3, -0.12, 109 in increasing order.\nAnswer: -1, -0.3, -0.12, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6477, -6479, -6485, -6495, -6509, -6527, -6549?\nAnswer: -6575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -793 - -803. Calculate the greatest common divisor of q and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 220\/(-585) - (-2)\/13. What is the nearest to h in 1\/2, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2832*f**2 + 5209. Let y(m) = -m**2. What is u(y(l))?\nAnswer: 2832*l**4 + 5209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55935589.\nAnswer: 197, 283937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3211 - 1000*b**2 - 1039 + 1005*b**2 - 1085 - 1087.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2318 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (14 - 38) - 43.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13, 76, 191, 370, 625, 968, 1411, 1966?\n\"Answer: 2*j**3 + 14*j**2 + 7*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 40*k = 72*k - 1700 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0*r*r)**(-32))**6*(r\/r**(1\/3))\/r**0*(r\/(r**1*r*r))**(-36) assuming r is positive.\nAnswer: r**(-934\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-7 - -9) - -4 - -18\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m - 32. Let a be y(-8). Solve x + 0*x + 12 = 4*p, -4*p = -2*x - a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*h + 10, -5*v + h + 6 = -2*v. Let c be 3 + (2 - (4 - v)). Let x be 1\/c*(-3 - -4). Which is smaller: -0.1 or x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i + 168 - 92 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide ((-30)\/(-7))\/((-26)\/(-14287))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 224500 to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 19 + 3*d**2 - 10*d - 56 + d**2.\nAnswer: 4*d**2 - 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(140) + (-2*sqrt(140) - sqrt(140) - sqrt(140)))\/sqrt(4))\/(sqrt(14)\/(-3*sqrt(2))))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2. Suppose 0 = 5*a + 3*n - 5*n - 37, -a + 3 = 4*n. Let j(h) = a - 10 + 24*h + 6 - 3. What is i(j(q))?\nAnswer: 1152*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 1:27 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(68) + 2*sqrt(68) + sqrt(68)) - sqrt(68) - (sqrt(68)*1*-6 + sqrt(68)))\/(sqrt(8)\/(-2*sqrt(98))).\nAnswer: 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -722*r - 3. Is z(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*m + 2420, m - 2396 = -3*m + n. Let l = m + -396. Suppose 0 = 2*r + 6, -l = -v - 2*v + 5*r. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(3\/31)*y)\/(y*(y\/((y**(-3\/19)\/y)\/y)*y)\/y))\/(y*y**15\/y*y**(-30)\/y) assuming y is positive.\nAnswer: y**(7621\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 20, -2, -0.138, 2.53, 0.1, -4, -5?\nAnswer: 2.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - g - 5 = -0*g, -7 = -2*o + 3*g. Let x(v) = v**3 - 6*v**2 + 3*v + 12. Let d be x(5). Solve o*k**3 + 15*k**2 - 13*k**2 - d*k - 1 - 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7472277?\nAnswer: 3, 109, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, g: 1, o: 1}. What is prob of picking 1 o and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1265, 1259, 1239, 1199, 1133?\n\"Answer: -x**3 - x**2 + 4*x + 1263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1\/(l*l**(-4))*(((l**(-1\/2)*l)\/l)\/l)\/l*l\/l**(-2\/5))**(-4\/33))**(-16) assuming l is positive.\nAnswer: l**(928\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -a6d8a4?\nAnswer: -a6d8a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12100 or 12095?\nAnswer: 12100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-544)*-17*(-2)\/32.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*t**5 - 358343*t**3 + 2*t**2 + 4445*t - 164.\nAnswer: 900*t**2 - 2150058","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17318 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from ppyvvypypgpyypgpyvyg?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -208.34 - -207.2. Sort 3\/2, z, 6 in ascending order.\nAnswer: z, 3\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*k - 4. Let g = -125 - -125.5. Which is the third smallest value? (a) 84 (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 550, 2\/7?\nAnswer: 550","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/35)\/(2\/(-10)). Let t(q) = 8*q**3 - 2*q**2 + 2*q - 1. Let u be t(1). Let g = u - j. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -3754?\nAnswer: 19\/3754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3 - 1 - 4 + 2*n + 0*n. Let f be c(2). What is the third derivative of 2*u**3 + 10*u**3 + 6*u**f + 10*u**2 - 3*u**2 wrt u?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220049374.\nAnswer: 2, 19, 1069, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (22 + -18)*450\/8. Suppose 35*y = 30*y + x. Calculate the lowest common multiple of y and 55.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2)\/((-8)\/(-1)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.028, -2, 15, -5, 4?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-765*d**2 + 377*d**2 + 182 + 386*d**2)*(2*d**3 + d**3 + 3*d**3) + 1 + d**5 - 1.\nAnswer: -11*d**5 + 1092*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19608?\nAnswer: 2, 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*f**4 + 108 + 10*f**4 + 4*f + 16 + 5 wrt f.\nAnswer: 56*f**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 319 divide 184542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*l**3*v**2 - 6247*l**3 - 50568*l**2*v**3 + 14*l*v wrt v.\nAnswer: 14*l**3 - 303408*l**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 208 + -114. Differentiate -97*z - 10*z**2 + 188*z + 5 - b*z with respect to z.\nAnswer: -20*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-4 - (-15)\/5). Let g = -0.3 + -0.7. Which is the closest to g? (a) 0.1 (b) v (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3041 by 1.\nAnswer: -3041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213304211 (base 5) to base 7.\nAnswer: 10534040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 11*a + 257. Let d be h(-23). Let f(j) be the second derivative of -1\/4*j**3 + 0 - 9\/4*j**2 + 5\/24*j**d + 19*j - 1\/40*j**5. Solve f(x) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18492.\nAnswer: 2, 3, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 12 in descending order.\nAnswer: 12, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c\/(c*c**(5\/4)))\/c))**(-50) assuming c is positive.\nAnswer: c**(-225\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-3) - (14\/(-2) + 4). Is (-8*46\/g)\/(3\/(-6)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690167459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 6, -13.156, 13, -0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*q - 0*q. Suppose 0 = q*t - t - 27. Solve -3*x = -8*x - c + 17, -t = 3*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36296.9999987749 + -36297. What is b rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40946*l + 874012 = -31648*l for l.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.35798 weeks to microseconds.\nAnswer: 15336506304000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2350 (base 6) to base 9\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297662742 and 4394?\nAnswer: 4394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8328.96 rounded to the nearest one hundred?\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + u + u**2 - 2*u**2 + 6*u**2 + 0*u**2 + (3*u - 4*u - u)*(3*u + 0 + 0) + 886*u**2 - u - u - 655*u**2 + 2*u + 1052*u**2 as z + h*u + x*u**2 and give x.\nAnswer: 1282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 20*q**2 - 38*q + 38. Let k be w(18). Solve -o - 16 = -5*o + 4*z, z = -k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*j = 72. Find the second derivative of 0*i - 4*i + 11*i**3 + 15*i**3 - j*i**3 wrt i.\nAnswer: 102*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -945 divided by 7.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6641, -13036, -19431?\n\"Answer: -6395*x - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/4)\/(-6))\/((-1)\/1)*-21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/7 - 4519720*q\/7 - 9039444\/7.\nAnswer: (q - 4519722)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + x + 7 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 9*n**2 - n + 20. Let k be v(-8). Is k > -141\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 2*t - 28, -13*t + 14*t + 30*k = 124 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/3420 and -103\/84.\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*v + 2*v - 3*x - 0*x, -5*x + 92 = 18*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -1399\nAnswer: 50\/1399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/71, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 7*y**2 - 6*y - 7. Let m(c) = -4*c - 2. Let i be m(-1). Suppose i*a + 3 = 13. Suppose j + 4*g = 10, a*j + 0*g - 33 = -3*g. Give z(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019383169549 rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*j + 147*j - 87*j)*((0*j + 0*j + 2*j)*(5*j - j - 2*j) - 2*j**2 + 3*j**2 + 3*j**2).\nAnswer: -248*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47\/32 + 1\/32. Let p = 1.96 + 0.04. Suppose -h = 3*h. Which is the nearest to l? (a) p (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -1 (b) 903 (c) -2\/15 (d) -0.028 (e) -1\/8 (f) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.1 (c) 8.3 (d) -1 (e) 0.05 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xct when three letters picked without replacement from {t: 3, c: 3, r: 1, o: 3, x: 4, b: 2}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 11*p**3 + 34*p**2 + 196*p - 26. Give m(-7).\nAnswer: -3505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*(-8)\/(-48)*(-30)\/6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3023880 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.1? (a) -8 (b) -3\/8 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f. Let p(d) = d**2 - 7*d + 8. Let z be p(6). Let r(t) = -31 - 2*t**z + 31. Determine r(l(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, s: 7, n: 3, l: 3, t: 2, c: 1}. Give prob of picking 3 s.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628231221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -198 + 225. Suppose -q*m + 431 = -352. Calculate the remainder when m is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1194 + 1194.5. Which is the biggest value? (a) 0.3 (b) -39 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 237 + -237.1. Let j = -10 - -9. Which is the smallest value? (a) j (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3840874665 to the nearest integer?\nAnswer: 61975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25, -42, -69, -112, -177, -270, -397, -564?\n\"Answer: -p**3 + p**2 - 13*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 + 11*t**2 - 8*t - 15. Determine f(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21780011.\nAnswer: 11, 23, 31, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217637 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 9 - 7 = 0. Suppose -l - 5 = -k + 7, -2*k - 3*l = d. Suppose 2*b = k*b - 290. List the prime factors of b.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15606067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 745623817?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -21, -3, 6 in decreasing order.\nAnswer: 6, 1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 21*j = 60 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5070, -10141, -15212, -20283?\n\"Answer: -5071*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**5 - 45*j**4 - 90*j**3 + 570*j**2 - 675*j + 243 = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8*y - 4 = 0. Let t be (-1 - (-22 + -1))*y\/(-2). Suppose 670 = -k + t*k. List the prime factors of k.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 7*r - 42 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 88*q**3 + 5*q - 17. Let b be m(2). What is the greatest common factor of b and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2925 = -11*y - 106*y for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c7 + 5?\nAnswer: cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8, 7, 0.12, 3\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**5\/11 - 952*r**4\/11 - 18000*r**3\/11 + 107020*r**2\/11 - 156242*r\/11 + 68172\/11 = 0.\nAnswer: -23, 1, 3, 494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184732 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -97\/7, -0.4?\nAnswer: -97\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18.91 and -8.\nAnswer: -151.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 50602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38702\/15 - -7741\/3. Sort -1, -3, g, 102 in increasing order.\nAnswer: -3, -1, g, 102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15485 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*d - 16920 = -80*d. Let j = 1206 - d. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in -382, -0.151, 2\/3?\nAnswer: -0.151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -19*u. Let o be y(-5). Suppose 2*f + 17 = -o. Let z be (-144)\/f - (-4)\/(-2). Is 2 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20496 divided by 28?\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 6 = 10. Suppose 7*s - 3*s = a - 829, 2*a - 1628 = t*s. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*-3*4)\/((sqrt(96) - sqrt(96)*3)\/sqrt(12)))**2 + (5*(sqrt(891) + 3 + sqrt(891))*-1)**2.\nAnswer: 2700*sqrt(11) + 89721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 10*u + 13. Let z be o(-9). Suppose -z*g - 19 = -3*q, 0 = q + 2*g - 5*g + 2. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 105756320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 20 = -j - 6*i, -20 = -3*j + i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 2\/45, 2112?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -170 >= -170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-96)\/(-4))\/(-4))\/(2\/2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**3 - 39*g**2 + 170*g - 132. What is r(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1029501\/7 or 147071?\nAnswer: 1029501\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a95c5 (base 14) to base 10.\nAnswer: -3099129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 + 168*u**2 + 1472*u - 57. Give c(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 68754 = 3*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g - 21 = 0. Let c(y) = y**3 + 8*y**2 + 8*y + 7. Let v be c(g). Suppose -2*s + 64 + 10 = v. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -k + 32, -4*t + 3*t = 2*k - 32. Let y = t - 2. Does 40 divide (y - -2)*(-1 - -4 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5018 - -7027. List the prime factors of u.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9370\/22 - (-2)\/22. Let g = v + -174. Calculate the greatest common factor of g and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3154828*f**4 + 7*f**3 + 272*f**2 - 295397*f?\nAnswer: -75715872*f + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57907548?\nAnswer: 2, 3, 29, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 69468877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19528855?\nAnswer: 5, 101, 38671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 4:28 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 11*a**2 + 16*a + 3. Let w be s(12). Suppose -3 = -3*f + w. What is the first derivative of 0 - f*p - 8 - 3 + 2 wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 20 - 3 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a millennium in years?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -64 and -6206241.12.\nAnswer: -6206305.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 + -1.01. Which is the fourth biggest value? (a) w (b) -0.1 (c) -0.08 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 10*j**2 + 7*j - 9. Let w be k(-9). Suppose 0 = -6*v + 45 - w. What is the greatest common divisor of v and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d**3 - 2*d**3 - 2*d**3)*(6 - 2 - 1)*(-4 + 4 - 3) to z*d**3 + v*d**2 + w + r*d and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 51. What is the remainder when c is divided by 1*7*(-58)\/(-29)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 6*p**2 - 16*p. Let m be z(8). Solve -2*f + 3*n + 6 = m, -3*f + 2*n - 4 = -3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 + -139. Let c = 66 - 57. What is the smallest common multiple of c and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + -8 + 5*1. Let h = -3843.1 + 3845. Which is greater: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 2\/5 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 12269.\nAnswer: -3\/12269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 c when four letters picked without replacement from {o: 4, c: 2, k: 6}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h - 2*h + 5*h + h - 4*h + h + 7 + 2*h - 7 + (-h + h + 2*h)*(0 + 3 - 2))*(-31 + 3 - 11)*(-5 + 5 + 4)*(-5 + 0 + 4) to the form o*h + i and give o.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4 (b) -4 (c) 5 (d) -42683 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 + 2*a**2 - 2*a - 4. Let z(b) = b**3 - b**2. Let f(n) = -j(n) + z(n). Let t be f(3). What is t rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**3\/2 - 80709*a**2 - 11939529*a\/2 - 5889056 = 0?\nAnswer: -161344, -73, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1505874778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 980 (b) -0.4 (c) 52 (d) -4 (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111682852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21\/80806 - 1002963337\/2828210. Let u = a - -354. Let r = u - -3\/7. What is the smallest value in 0.3, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393430?\nAnswer: 2, 5, 39343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24820, 49490, 74160, 98830, 123500, 148170?\n\"Answer: 24670*q + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 5*y**2 - 9*y - 5. Let m be z(-3). Solve m = -3*i - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 12 + -20 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 1064?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -86 divided by 15\nAnswer: -86\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-167479)\/(-78) - 7\/6 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -526 = -2*b + 3*o, -4*o - 2 = 14. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/1540*22\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -3*a + 13, -3*a + 0*c = 5*c + 23 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729279271.\nAnswer: 43, 40215797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3588012 = 8*x - 4*n, 9*x - 897006 = 7*x + 2*n. What is x rounded to the nearest ten thousand?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102.7119 + 102.7. Round k to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376847428953 take away -14?\nAnswer: 376847428967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 5*r - 207. Let i = r - -62. Let l be -6 - i - (-8)\/(-2). Sort 3, 0, l, -4.\nAnswer: -4, l, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209833, -209831, -209829, -209827?\nAnswer: -209825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7249a (base 11) in base 2?\nAnswer: -11001110100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 3*x - 3*s, -200*x + 5*s = 3447 + 1338 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 + 3540*l**3 + 1061775*l**2 + 10266750*l.\nAnswer: 3*l*(l + 10)*(l + 585)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156237200 a multiple of 2265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -0.3, -123 in increasing order.\nAnswer: -123, -1, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830731 (base 9) in base 14?\nAnswer: 1c930b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2821968, 2822026, 2822084, 2822142?\n\"Answer: 58*j + 2821910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnvv when four letters picked without replacement from {v: 6, n: 2, h: 3, s: 2}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -642945*a*l**3 + a*l*t + 2*a - 2*l**3 - 5106*l**2*t + 26*l*t + l with respect to a.\nAnswer: -642945*l**3 + l*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13665343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2271 or -2273?\nAnswer: -2273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11685139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3.3, -1, 124, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**7\/210 - q**6\/18 - q**5\/5 - 3*q**3 - 5. Let u(r) be the third derivative of v(r). Factor u(a).\nAnswer: -4*a*(a + 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -44, -7, 32, 61, 68, 41?\n\"Answer: -2*r**3 + 13*r**2 + 12*r - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + n**2. What is l(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/77 and -39\/105665.\nAnswer: 1162315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55885053?\nAnswer: 3, 7, 179, 14867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**4\/4 - 5*b**3\/4 - 21*b**2\/4 - 23*b\/4 - 2 = 0 for b.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 26*k**2 + 32*k - 135. Let j be w(27). Solve j = -3*x + 3 + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 129*w - 4756. What is b(37)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45965 - 45957. Sort 0, -19, q.\nAnswer: -19, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -4, -7 in decreasing order.\nAnswer: 5, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**2. Let p(j) = 1500*j**2 - 2983*j**2 + 1482*j**2. Give w(p(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = b - 6, -2118051*m + 2118063*m - 2 = 5*b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-7) - (-2)\/(392\/(-2359)) and 27\/34.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.14977l to millilitres.\nAnswer: 17149.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*g + 51, 3*v + 2 + 1 = g. Suppose 217 = 4*z - 3*f, -3*z + 4*f - g*f = -170. What is the lowest common multiple of 5 and z?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18058694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.71 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 4, -113817, 2.01 in decreasing order.\nAnswer: 4, 2.01, -1\/7, -113817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/(-10)*(5880\/448)\/7.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + 0 - -20) + (-22)\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3*c - 17, -3*c - 2*w + 6 = -7. Let r = 63 + -58. Suppose -k = -4*f + r*f - 474, c*f = 2*k - 973. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a - 5. Let s(r) = 3*r - 9. Let g(j) = -5*q(j) + 3*s(j). What is the smallest common multiple of g(-4) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100742345.\nAnswer: 5, 11, 1831679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*s = -363 - 1012 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -127a2 (base 16) to base 3\nAnswer: -10211211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -785 (b) 4 (c) -24 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(6*(-2)\/(-12))*-3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2945784 is divided by 622.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-9) + 20\/12. Let w be c - 15\/5 - -4. Suppose -2*a - 22 = -w*g - 0, -5*a = -g + 31. Calculate the highest common divisor of 15 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55 + 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27\/1*(1 + 0). Let r be 2 + -1 + 2 + 1. Suppose r = b - 5. What is the highest common factor of f and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 4*i**2 - 3*i + 7. Let u be j(-5). Let r = u + 7. Suppose r*n + 46 = 5*b, 0*b + 5*n + 26 = b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 5*w - 33, 518 = -w + 2*w + 512 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 264\/2508 + 4\/(-38). Factor 3\/4*f**4 + x*f**2 + 1\/2*f**3 + 1\/4*f**5 + 0*f + 0.\nAnswer: f**3*(f + 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1818860 is divided by 136.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -399, 2, -13, 9, -1, 71.\nAnswer: -399, -13, -1, 2, 9, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3072 divided by 57?\nAnswer: 1024\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 4:50 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.07 + -8. Let v = g + 4.93. Which is the second smallest value? (a) v (b) 0.04 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.32 - 0.12. Let p = -0.2 + r. Which is the closest to p? (a) 2 (b) -0.4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - 5*q**2 + 2*q**2 + (-2*q + 0*q + q)*(46 - 4*q - 46)*(-24 - 2 + 6).\nAnswer: -84*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -16557?\nAnswer: -16554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 403 and 13.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 2, 5, -7 in descending order.\nAnswer: 5, 2, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 0.4, 1, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10305136?\nAnswer: 2, 67, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2382 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: What is the nearest to 0 in -119, 0.3, -1.778, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, -308, -1, -12, -0.1, -0.08?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.34 and 1003556?\nAnswer: 1003552.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -8 + (-4 - -6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*d*i*k**3*w + 127*d*i*k**2 + 2*d*i + d*k**3 + 96*i*k**3*w - 3*w + 2 wrt k.\nAnswer: 342*d*i*w + 6*d + 576*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3536399 to the power of 1\/2, to the nearest integer?\nAnswer: 1881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 189, 2, 541, -1, 3\/7, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + -25?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-13 + 2 + (8 - 3))*-105 and 48.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 3*t + 2. Let u be p(3). Let y be (2\/u)\/(-5 - (-12)\/2). Let k(j) = -j + 1. Let i be k(y). Solve 3*a - 4 = a - 2*h, i = h + 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116413\/10 + -11632. Find the common denominator of l and 131\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355019 divided by 17?\nAnswer: 79707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7128128 a multiple of 2363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 5. Let t = 7.7 + f. Let d = 0 + 0. Which is the nearest to d? (a) 2 (b) -1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 7 + (45\/3)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28 and -13?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7)**(-21) assuming l is positive.\nAnswer: l**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7849 - -7855. Which is smaller: g or 4\/93?\nAnswer: 4\/93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 3 + (4 - 3 - 2)*(-24 + 16 + 18))*(-203*j**2 + 138*j + 407*j**2 - 202*j**2) as x*j + o*j**2 + n and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s = 24*s + 832. Find the third derivative of -101 + 436 - s + 3*f**4 - 97 + 27*f**3 - 99 - f**2 wrt f.\nAnswer: 72*f + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 9*r + 156 = 0. Solve -n - r = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4185 is divided by 39?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*u + 33. Calculate the remainder when u is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (602*(4 + -3) + -4)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*f = -49, 0*c = -c + 3*f + 9. What is the remainder when c is divided by (-8)\/3*(3 - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*r + 63*r + 68*r + 70*r - 321*r + 58*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 13999821.\nAnswer: 13999805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k**2 + 1539*k + 1535*k - 3074*k.\nAnswer: -31*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 7 = -5*h. Let x = -5.99 - -6. Let w = -2.99 - x. Which is the second smallest value? (a) 1 (b) h (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*-140.0578.\nAnswer: 5462.2542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 10*t**2 - 23*t + 16. Let y be o(7). Suppose -y*b + 10*b = 3848. Calculate the highest common divisor of b and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 2)*(-1 + 3 + 0 + i)*(0*i**3 - 3*i**3 + i**3).\nAnswer: -8*i**4 - 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*b - 2020 - 236 = 0 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 37c4a?\nAnswer: 37c4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**2\/13 - 150*o\/13 - 48708\/13 = 0.\nAnswer: -123, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 575.4+-0.06\nAnswer: 575.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -15*a + 17*a + 12166, x - 2*a = 3037. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 311, 563, 1035, 1727, 2639, 3771?\n\"Answer: 110*o**2 - 78*o + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001110101111011 (base 2) in base 7?\nAnswer: 423033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -274.9435 + -0.0565. Let k = 274.99999843 + d. What is k rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 9. Let x be q(9). Sort x, 5, -3.\nAnswer: -3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wiwm when four letters picked without replacement from owoiomiiow.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.06174 - 1277.\nAnswer: -1280.06174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/310977 and 1\/2289.\nAnswer: 2176839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11137 + 11137. Let x(r) = -81*r + 8. Give x(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h - h. Let x(a) = -a**3 - 4*a + 0 + a**2 + 5 + 3*a. Let y be x(h). Solve 0 = -2*c + 5*g + 14, 0*g + 10 = -y*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1350\/4823 - 16\/53. Is r smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -4\/7, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 33*x**2 + 10. Let o be i(33). Suppose 4*n + o*n = 504. Calculate the greatest common divisor of n and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157 by -3.\nAnswer: 157\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 259 and 3904\/15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 6*r - 4. Determine t(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -10*y + 310. What is the remainder when y is divided by (34\/3)\/(2\/3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -297*q + 892*q - 298*q - 391*q**2 - 297*q + 1 to the form u + m*q**2 + w*q and give m.\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649622042.\nAnswer: 2, 1583, 205187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 1. Let y be m(6). Suppose y = 3*h + 5. Suppose 7*k - 5*k - 6 = h. Solve -k*z - z + 4 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 3:28 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 6*n**2 + 3*n - 5. Give i(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 5*j + 2075 - 2495 = 0. What is the remainder when 146 is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1088 and 680?\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-4)*(-12)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*o - 2*o - 15, 25 = 5*o - 2*k. Suppose -2*y + o*q + 62 = -0*y, 3*q = 4*y - 110. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohy when three letters picked without replacement from wyowh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -1 + sqrt(3) + 0)**2 - -2*sqrt(33)\/(sqrt(33)\/sqrt(3)).\nAnswer: -16*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -332.\nAnswer: -3\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -41. Suppose 0 = 2*t - v + 5. Let g(p) = -p**2 + 9*p - 3. What is the tens digit of g(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 8625*z - 8625*z - 123*z**2 + 3 + 5. Let o(t) = -12546*t**2 + 820. Let j(w) = 205*n(w) - 2*o(w). Let u(r) = -r**2. Determine j(u(i)).\nAnswer: -123*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*f + 10 + 48 = 0, 3*q - 94 = -4*f. What is the remainder when 162 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.2. Let p = 116559 + -116564. Which is the nearest to g? (a) 2\/3 (b) -0.1 (c) p (d) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0022 and -360.5.\nAnswer: 0.7931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 136571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1814238 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29112.13101 + -29584.129. Let n = 472 + w. What is n rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 1. Let o be g(1). Let q be (7\/o)\/(4\/(-8)). List the prime factors of -50*(21\/(-6))\/q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 16*s. Let z(p) = 33*p + 1. Give -5*b(t) + 2*z(t).\nAnswer: -14*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(2057) - (1 + -2*sqrt(2057))) + 2 + (sqrt(2057) - -1*(sqrt(2057) + -1)))*3)**2*6.\nAnswer: -92664*sqrt(17) + 18774126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 14 = o, -9 = -4*r - 21 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 1:39 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29 and -77.\nAnswer: -2233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 3\/7 (b) 1 (c) -8\/5 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, r: 2, b: 3, i: 1, c: 4}. What is prob of picking 1 i and 3 c?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 3*a - 3*a)*(1 - 5 + 5)*(-672 - 162 - 157)*(1 - 2 + 5).\nAnswer: -3964*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 12:09 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11902, -95229, -321404, -761851, -1487994, -2571257?\n\"Answer: -11904*p**3 + p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 515874037?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063 plus 283526432?\nAnswer: 283526431.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 335323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/45)\/(2\/10). Let j = i + 10. Sort 1, -3, j in increasing order.\nAnswer: -3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -12*y + 27, 8*y + 2*y + 0 = -5*j + 25 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.42921um to millimeters.\nAnswer: 0.00542921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 4*q + 14. Suppose 20*w = -74 - 26. Calculate the remainder when 64 is divided by a(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q**2 + 41*q - 42. Let g be m(9). Suppose 19*k = 14*k + g*r + 60799994, 4*k = -3*r + 48640006. What is k rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + ((3 + (sqrt(539) + 1 - sqrt(539)))**2 - (-3 + 2*sqrt(539))) + -3).\nAnswer: -14*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 - 5. Let i be (7 - 9)\/4*-12. Suppose 6 = -3*p - 5*f - 9, -3*f - 15 = 3*p. Let c(v) = -2*v**2 - 6. Determine i*g(y) + p*c(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjjksjwswssttw. Give prob of sequence sj.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (28 - 74) - 21?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpi when three letters picked without replacement from zibpziiibbp.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 6*o - 5 = 0, -54 = 2*o - 37 - 21 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/t*t*t**(-2\/13))\/(t*t**(-2)*t\/(t\/(t\/((t\/(t\/(t**(1\/13)*t)))\/t)))) assuming t is positive.\nAnswer: t**(-40\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = f - 514, j + f - 6*f - 544 = 0. What is the remainder when j is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - -1110200002?\nAnswer: 1110200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 36058.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 5*d**2 + 5*d - 3. Let t be j(-6). Let o = t + 862. What are the prime factors of o?\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 5*g + 2*s, -g + 3*g + 5*s - 73 = 0. What is the highest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**3 + b**2 - b + 1. Let a be c(1). Suppose k - 3 = -a*h, 2*k + 1 = -h + 7. Suppose -10 + 4 = -k*v. Solve -4*q = -2*w, -5*q + 5 = -4*w + v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*s + 193 = 3*y + 285, 2*s = -3*y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.383693 rounded to two dps?\nAnswer: -13.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*s**2 + 416186*s + 9052345 wrt s.\nAnswer: -8*s + 416186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 47 - 47. Let s(u) be the third derivative of 0*u**3 + u**2 - 1\/108*u**4 + 0*u + a + 1\/135*u**5. Determine t, given that s(t) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*c + 6. Suppose 5*u - w + c*w = 699, 5*w - 5 = 0. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171556 by -4.\nAnswer: 42889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7452 divided by -36.\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/7 + (-319)\/(-77). Suppose -43 = -3*z + 2*z + n, -231 = -5*z - 3*n. Suppose u*m - z = -17. Solve 3*g - 5*s + 19 = 0, 3*g = -0*s - s - m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1024, 4069, 9146, 16255?\n\"Answer: 1016*x**2 - 3*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t - 1. Let l(q) = 9*q + 3. Let s(g) = -7*a(g) - 3*l(g). Give s(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddcenencccneeccn. What is prob of sequence ened?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - s + 8, -2*s - 2 = 3*v + 2*s. Suppose 2*f - 19 - 141 = 0. Suppose 0*l - l + f = 4*p, 0 = v*l. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -8. Suppose -3*m = -u - 6*m + 17, -5*m = -b*u + 17. Calculate the highest common divisor of u and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 375086, 750161, 1125224, 1500269, 1875290, 2250281?\nAnswer: 2625236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 169594.1826 to the nearest one hundred.\nAnswer: 169600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4672501 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196*z**4 - 142*z wrt z.\nAnswer: 2352*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(-2)\/j)\/j)\/j)**(-47)*(j**(2\/7))**(-26)*(j**2)**(13\/4)*j**(2\/9)\/(j**(-2\/17)\/j*j) assuming j is positive.\nAnswer: j**(401435\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 < -11.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4\/3, 0.3, -4, -9, 6 in increasing order.\nAnswer: -9, -4, -4\/3, 0, 0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k + 3. Calculate the remainder when i(19) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/19)\/y**19*y**(-21)\/y**(1\/2) assuming y is positive.\nAnswer: y**(-1543\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 745428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/6)\/u)**0\/(u**(-2\/47)\/(u*u*u**(2\/7))))**(-1\/16) assuming u is positive.\nAnswer: u**(-383\/2632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from {t: 1, s: 1, v: 1, w: 1, z: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-10)\/(-75) - (-2032)\/40*(-27)\/(-18)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4144*y**2 + 6037 wrt y?\nAnswer: 8288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a**2 + 67*a - 67. Give g(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17968056 is divided by 544486?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.78219626 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31948723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (24\/10)\/((-1572)\/1965)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttttt. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(500)*6 + (-1*((1*sqrt(500) - sqrt(500)) + sqrt(500) + sqrt(500)))**2 + sqrt(500).\nAnswer: -50*sqrt(5) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -36. Let z = 18.048 + 0.152. Let j = z + o. Round j to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2299) + 0 - -4*(-1 + sqrt(2299))) + 3 + 5*(0 + sqrt(2299) + 1 - sqrt(2299)))**2.\nAnswer: 440*sqrt(19) + 57491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(17) + -3 + -3*sqrt(17) + -1 + 3*(sqrt(833) - sqrt(833)*1 - (sqrt(272) + 0 - sqrt(17)))))**2.\nAnswer: 990*sqrt(17) + 18738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + (-30)\/(-5) + 3. Solve 0 = 7*s - 10*s + i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13363*l - 187083. Determine u(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 4*s**2 + 6*s - 6. Suppose 4*k = 10 + 10. Let n be h(k). Let d = -11 - -8. Which is bigger: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 7*j**2 - 8*j + 4. Let v be y(8). Let t be (-10)\/190*v\/(-10). Let u = 75 + -74. Is t at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 + 548*y**2 - 554*y - 1147. Calculate j(-275).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*y - 36, -2*y - 1 = -2*m - 55. Suppose -4 = 2*c - 3*l - 1, y = 5*c + 3*l. Let g be 6 + -2*1\/2. Sort g, c, -3.\nAnswer: -3, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flii when four letters picked without replacement from {f: 1, i: 3, c: 3, l: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44913*i**3 + 8107*i wrt i.\nAnswer: 269478*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -1\/2, 3, 202?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 112, 161, 210?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -d + 9, 4*d - 17 = 243*y - 242*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n. What is m(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2. Let a(b) = -3*b + 20*b**2 - 7*b + 10*b. What is o(a(j))?\nAnswer: -400*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73920 = 1025*k - 1165*k. What is the greatest common factor of 11440 and k?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9367, 9412, 9463, 9520, 9583, 9652?\nAnswer: 9727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5730591 divided by -3?\nAnswer: -1910197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(42\/35)*60\/(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-2 - -6) + (-1 - -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.7 >= 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -157*d - 3 + 1 + 59*d + 28*d - 157*d as p*d + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18299965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1971 - -0.054615159772?\nAnswer: -0.142484840228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32946 divided by -867.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 3*n = 5*v + 19765, 0 = 5*n + v - 24728. Let d = 49507\/10 - n. What is the common denominator of d and 34\/13?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148209 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 12. Let z be b(-10). Solve -2*t - z = 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3421 to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 196588 and 81361.\nAnswer: 38727836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*z + 16011 = -83*z. Calculate the remainder when z is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 7.1868.\nAnswer: 0.431208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/14003 in -2, -1, -1\/4, -0.3, 5, -12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208137815 divided by 41627563.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -432 - -518. What is the second derivative of 25*q + t*q**2 - 279*q + q**3 + 491 - 491 wrt q?\nAnswer: 6*q + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-524 + 102*y**4 + 524)*(2*y - 3*y + 4*y) - 2*y**5 - 4*y + y**5 + 7*y.\nAnswer: 305*y**5 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -13.\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 4*v - 34 - 1, 2*v = 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 835787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -80*v - 2. Let d(f) = -179228*f. Calculate d(g(c)).\nAnswer: 14338240*c + 358456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*g - 33*g + 7, 2*s = -g + 23. Solve -s*c + 34*c = 38 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r - 164 = -278. Put r, -0.21, 12 in ascending order.\nAnswer: -0.21, r, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7827050 is divided by 1118148.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176637 (base 9) to base 2.\nAnswer: -11010110100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -18*a + 196. Let d(l) = -23*l + 197. Let j(c) = 6*d(c) - 7*v(c). What is the first derivative of j(g) wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69.1 - -70. Which is the smallest value? (a) r (b) -3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 15. Let a = -332 + 324. Calculate j(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.03083937 to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 225\/4 - 56. Let b = -0.08892 + -0.31108. What is the nearest to q in b, 0.06, -0.5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*b - 6*j - 140, 2*b - 2*j = -44. Let p = 95231 - 95234. Sort b, 2, p, 0 in descending order.\nAnswer: 2, 0, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, l: 1, b: 1, h: 4}. Give prob of picking 1 h, 1 l, and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45546 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 440 - 2641\/6. Which is the fourth smallest value? (a) -0.1 (b) -0.5 (c) -12\/11 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -926a8 (base 15) in base 8?\nAnswer: -1612013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-1)\/((-7)\/21) - (-63)\/(-27).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -24*c + 6006. Suppose 6*k + 2*n - c = 2*k, -2*k - 3*n + 137 = 0. Does 37 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14718550 is divided by 543?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 376, 742, 1094, 1426, 1732, 2006?\n\"Answer: -b**3 - b**2 + 376*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*n. Suppose n*w + 1 = w. Is w\/(-4) + (-53)\/(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - sqrt(180)*-2)\/(3*sqrt(70)\/sqrt(7)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 309 = -i - 17*z, 0 = -3*i - 5*z - 7348 + 7255 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -10. Let k(a) = -28*a - 1810. Let r be k(-65). Let c(p) = -p - s*p - r - p + 7*p. Calculate c(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*o**4 + 0*o**2 + 4*o**2 + 103*o**4 - o**3 + 2 as z*o**2 + r*o + a*o**4 + g*o**3 + b and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132455341, -132455334, -132455325, -132455314?\nAnswer: -132455301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/8)\/(15\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m + 7 = 5*x + 27*m, -1 = x + m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*b = 36, v + 6*b - 38 - 7 = 0. Solve -2*g = -4*k - 2, 3*g = -24*k + 18*k - v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98118 or -98122?\nAnswer: -98122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 11, 9, -5, -37?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/129181 and -30\/2717.\nAnswer: 1420991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*sqrt(270))\/sqrt(10) + 5 + 5 + sqrt(528)\/sqrt(11).\nAnswer: -11*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**3\/3 - 9*j**2\/2 + 3*j + 4. Let z be p(9). Is (5 - z)\/8*124 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:09 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 105*u + 34. Let q be l(18). Suppose -2*f = 2*f - q. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124297 or -124266?\nAnswer: -124297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqnqn. What is prob of picking 3 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/44 and -41\/475416?\nAnswer: 5229576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 1:44 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -4.9. Let t = -8 - p. Which is the nearest to 1\/3? (a) 0.1 (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 5*i = -14, -55439*t - 7 = -55438*t + 4*i for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or 3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -167287347 divided by 9\nAnswer: -18587483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/((-4900)\/(-40))*2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132 - -189. Let q be s\/105 - (-2 - (-30)\/14). What is the nearest to 0 in -1, -3\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 2*m**3 + m**3)*(-6 + m + 12 - 12).\nAnswer: 2*m**4 - 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -34650609 from -25.181.\nAnswer: 34650583.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 - 3*z**2 - 6*z - 10. Let t = -47 + 42. Is f(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 55*g**2 - g - 191?\nAnswer: 110*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4123*q + 8409*q - 4301*q.\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from lmvv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y. Let x(g) be the first derivative of -5 - 1\/3*g**3 + 0*g + 0*g**2. Determine x(v(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45.6 - -46. Let w = c + 1.6. Let q = -101\/3 - -301\/9. Is q greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(153)\/(sqrt(9) + 2*sqrt(9)) + 0.\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40881 + 4191 = 6*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5814032 to the nearest integer?\nAnswer: 2411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*i - 9, 0 = 2*c - 6*i + 8*i + 22. Let b(g) = g**3 + 3*g. Let q(x) = -24*x**3 - 68*x. Give c*q(a) - 136*b(a).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 897, 1846, 2821, 3834, 4897?\n\"Answer: 2*g**3 + g**2 + 932*g - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3390136 and 610.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 14*w**2 + 16*w - 40. Let d be m(3). Let f = d + -119. Calculate the remainder when 53 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6725.79 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 92.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jcmjcmmcjcjj. What is prob of picking 2 j, 1 c, and 1 m?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 7*k**2 + 15*k - 9. Let n = 4903 + -4897. What is h(n)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170083 is divided by 972?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/14)\/(2\/4). Let v = 82.946 - 83. Let g = v + 0.054. Which is the third biggest value? (a) -4 (b) o (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -116.29?\nAnswer: 120.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -4)*((-84)\/36 + 4). Suppose 4*s - 5 = -v + 7, -z*s + v + 24 = 0. Solve 2*n + 4*f + 4 = 0, 4*n = -s*f - 14 + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70 + 70. Suppose 16*y - y - 270 = b. Solve 4*l - 4 = -4*z, 0*l - y = 2*z - 3*l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -316a11 (base 14) in base 8?\nAnswer: -6276267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47784*i - 4434217006*i**2 + 4434217005*i**2 - 47784*i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**5\/60 - 3*g**2\/2 - 9. Let a(u) be the second derivative of f(u). Let x(p) = 7*p. Determine x(a(o)).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 8552640.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 3. Suppose 0 = -3*u - 0*u. Suppose -3*d = 4*t - 2, 4*t + 5*d + 2 = -u*t. Put t, -0.1, z in descending order.\nAnswer: z, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 h when four letters picked without replacement from {h: 9, c: 2, g: 1, t: 1}.\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 8*w - 698. Let c be (w - 81)\/(-1 - 16\/(-18)). Sort c, 1, 2 in ascending order.\nAnswer: 1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3494118?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 16*j**4 + 2*j - 5. Let b(d) = -8*d**4 - d + 3. Let c(q) = -5*b(q) - 3*n(q). Find the second derivative of c(h) wrt h.\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9*z**2. Let b(i) = 0*i + 22 - 22 + i. What is n(b(c))?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -397 - -247. Let c = 161 + x. What is the lowest common multiple of c and 69?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*l + 35, 3*b + 3*l + 20 = 2*b. What is the fifth smallest value in 4, b, -2\/9, 51, 2\/9?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -13099*d + 1. Let r be y(-1). Round r to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + x - 3*k + 46 = 0, 3*x = -k + 37. Suppose -h + 9 + 6 = 0. Which is smaller: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 691\/59 + 93\/118. Find x, given that 6*x + 9\/2*x**3 + 2 - y*x**2 = 0.\nAnswer: -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = -3*a - 20. Let j(y) = -y**2 - y**3 - 3*y - 3 - 4*y + 9*y**a + y. Give j(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -148.8491\nAnswer: 59.53964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507225 is divided by 84536.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.92 - -67.08. Let f = b + -67.8. What is the nearest to f in -6, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 692, 2846, 6422, 11408, 17792, 25562?\nAnswer: 34706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17977247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2993 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-3 + 3)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -171*g**3 + g**2 + 7*g + 7. Let b be p(-1). Find the first derivative of -135 - 11*k - 13*k - b - 18*k - 3*k**3 wrt k.\nAnswer: -9*k**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**3\/3 - b**2\/2 - 32. Let h(l) = -24*l**2 + 18*l. Let r = -464 - -446. Give r*i(c) - h(c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7938 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775309717?\nAnswer: 7, 13, 8519887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Let b(p) = -q + 2*p + 4 - 4*p. Let u(d) = 6*d. Determine u(b(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14985236 and 2208.\nAnswer: 359645664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10107*i**2 + i - 8571*i**2 + 49 - 49 to t + s*i + n*i**2 and give n.\nAnswer: -18678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 89070 and 43.2.\nAnswer: 89113.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 5727906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 + 5*y**3 - 3*y - 3*y**2 + 1 - 3. Is d(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -7*p**4\/24 + 13*p**3\/6 + 307*p**2 + 5. Let s(a) = 4*a - 7. Determine 3*l(c) + 5*s(c).\nAnswer: -c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-237 - -270) + 0 + -52?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 6*n + 49 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 6223404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:52 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 41*b**2 - 53*b - 140. Suppose 46*h = 5*u + 44*h + 206, -185 = 5*u + 5*h. Is 4 a factor of o(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 + 81. Put 0.08, -118, j in increasing order.\nAnswer: -118, 0.08, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 26. Suppose 0 = -3*l - 0*l - 3*v + 21, -4*v + w = l. Let q(k) = 0*k + l - 5*k + k**3 + 0*k. Let y(i) = -2*i + 2. Calculate -2*q(t) + 5*y(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 87 in -2\/5, 4, -1.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*l - 101*l - 5*r = -49, 4*r - 41 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(78)*-2)\/(sqrt(24)\/sqrt(4)*-6) + -3.\nAnswer: -3 + 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/12 + 40\/(-3). What is the tens digit of 8\/6*(-147)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -144571540 to the nearest one million.\nAnswer: -145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 59?\nAnswer: -35.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 958696474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**7\/147 + i**6\/105 - i**5\/35 - i**4\/21 + i**3\/21 + i**2\/7 + 3*i. Factor j(f).\nAnswer: 2*(f - 1)**2*(f + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/(2\/330). Let v = q - -223. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -38\/39383989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6) - 2\/3. Suppose f = 5*l - 11 + 6. Put l, 3, 2, -5 in descending order.\nAnswer: 3, 2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/3*2*5. Suppose 5*y + 295 = -0*y. Let t = f - y. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179, -762, -2351, -5450, -10563, -18194, -28847, -43026?\nAnswer: -61235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/26 - (-4780)\/312 and 30\/29.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1743366 and 888?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -244 - 1 - (-9 - -6). Is 2 a factor of (-39732)\/c + 2\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 - 12*j**3 + 9*j**2.\nAnswer: 3*j**2*(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 5*b + 4. Let q be c(-2). Solve -q*v - 2*h = -0*h - 10, 1 = -v + 5*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -0.07353224792.\nAnswer: 4.92646775208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 10:21 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -19479 in descending order.\nAnswer: 3, -1, -19479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 + -5.05. Let g be 2*28\/(-112)*(3 + -1). Let p be 3\/9*(16 - 4)*g. What is the third smallest value in p, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**5 - 16*z**4 + 460*z**3 - 1400*z**2 + 144*z + 2016 = 0 for z.\nAnswer: -14, -1, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1817 + 1819. Solve -c*j - 18 = -8*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 19*r**2 + 4*r - 382. Give v(18).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-10)*r\/(r*r*r**12)*r*r)**42*((r**(-3)\/r)\/(r*r**(-6\/5)*r))\/((r\/r**(-8)*r*r)\/((r**(-1\/8)\/r)\/r)) assuming r is positive.\nAnswer: r**(-32637\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - a + 0*a**2 - 2*a**3)*(6*a - 3*a + 3*a) - 1417*a**4 + 3170*a**4 - 1580*a**4.\nAnswer: 161*a**4 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7296 + 12478362.\nAnswer: 12471066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/(-15) + (-538)\/(-10) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 20 = -5*j - t, 31 = 2*j + 5*t. Suppose -2 - 7 = -j*h. Let k be -5*2\/6*h. Which is the third smallest value? (a) -0.1 (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.036156kg to grams.\nAnswer: 36.156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 430 - 431 + 491 - 490 - 47*p**2.\nAnswer: -47*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from {m: 4, x: 4, j: 6, i: 2, z: 1, e: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39 and 77079.\nAnswer: 1002027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -15923523.\nAnswer: 17\/15923523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - (9 - 29)) + 29\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1939 + -0.0061. Sort 0, g, -2.\nAnswer: -2, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (286 - 274) + (3 - 1) + -22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2 + 46*h + 767 = 0. What is h?\nAnswer: -13, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8242 - -18871. What are the prime factors of s?\nAnswer: 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -7) + (-7 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -3 - 2) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 6 = -21, 2*j + 2*z = 6. Sort -25, j, -4 in increasing order.\nAnswer: -25, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 7*u - 9 = 0. Let n = -1 + 2. Put u, n, 5 in decreasing order.\nAnswer: 5, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**5 - 1425940*a**4 + 101675224870*a**3 - 1423129477940*a**2 - 3151290334275*a - 1626484205520 = 0 for a.\nAnswer: -1, 16, 142587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 12 = -3*r. What is the smallest common multiple of 1\/1*(8 - r) and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 933 + -933.1. Let t = 34 - 31. Put t, g, 7, -1\/2 in descending order.\nAnswer: 7, t, g, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 11. Let u be n(4). Suppose -216 = -3*x + 4*z, -5*x = -u*x - 5*z - 137. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 + 203. Let s = -94 + g. Calculate the remainder when 58 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 4*m + 2*m**2)*((-1 + 1 - 3)*(m**2 + 9 - 9) + 264 + 179*m**2 - 177*m**2 - 69).\nAnswer: -2*m**4 + 390*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -0.122, 19, 3, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 11 = -2*t, -2*t + 2*o = -7*t - 41. Let x be 2 - ((t - -3) + 6 + -4). Solve 0 = -3*v - 5 - x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2. Let p = 90 - 46. Let x(g) = -p*g**2 + 66*g**2 + 23*g**2. Give v(x(b)).\nAnswer: 2025*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 23, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -40 * 0.0486\nAnswer: -1.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 179, 767, 1753, 3143, 4943, 7159?\n\"Answer: d**3 + 193*d**2 + 2*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -0.4, -5 in decreasing order.\nAnswer: 14, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*z + 64, 13*z + 32 = 15*z + 2*l. Put 3, 0.4, -3\/2, z in ascending order.\nAnswer: -3\/2, 0.4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 11060.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (7 + 19 + -15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2 + 10958*p - 878164 = 0. What is p?\nAnswer: -5558, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-45)\/54)\/5)\/((-2)\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1293 = 6*l + 75. Let q = l - -349. Does 27 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = 5*y + 4*c, -11*y + 178 = -14*y - 2*c. Suppose 4*n = -3*d - 183, -n + 29 = -d - 25. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Let t = 0.97 - 4.97. What is the nearest to l in t, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39552)\/14832*9\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275753 (base 8) to base 9.\nAnswer: 157365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59826330 and 430?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f + 5. Let j be (-60)\/(-8) - (3 + 10\/(-4)). Let q(u) = -9*u - 6. Determine j*w(l) + 6*q(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1489611 is divided by 21899?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*c**5 + 1007*c**4 + 3*c**2 + 63848*c wrt c.\nAnswer: -160*c**3 + 12084*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**3 - o**2 - 2*o - 1. Let q be s(2). What is the highest common divisor of q and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from bbnmbbnibmxnmb?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -116368106.9 rounded to the nearest 10000?\nAnswer: -116370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 61*f + 32. Calculate i(30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k*n**3 - k*n**2 + 8*k*n + 92*n**4 + n**3 + 28*n wrt n?\nAnswer: 12*k + 2208*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 17*x - 3. What is the closest to x in 0.4, 5\/6, 0?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272 - -53 - -158 - 18.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3642315247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1430 - -2?\nAnswer: -1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-3\/5)\/h*h)\/h*h)\/h**(-6\/7))\/((h**(-6\/11)*h)\/h*h**6))**41 assuming h is positive.\nAnswer: h**(-82041\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, 2\/7, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42133.\nAnswer: 7, 13, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 32.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c = 0. Let m = 7 - c. Factor 5*a**4 + a**4 - a**4 - 12*a**2 + m*a**2.\nAnswer: 5*a**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 42 = 4*p, -2 = -2*p - 3*w + 21 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -1e3e?\nAnswer: -1e3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 10097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 2\/2 - (-464929)\/(-67738).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, 5, 3 in decreasing order.\nAnswer: 5, 3, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 2*i - 4*i. Let j be (1 - 0)\/(-1 + 2). Let h(o) = j + o - 3 + 2. What is h(x(c))?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13890339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 557 from -11.502045271.\nAnswer: -568.502045271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -210121102122 (base 3) to base 6\nAnswer: -13041025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -204 (base 5) to base 15\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2 - -8) + (10 + 38 - 44).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 - 89. Let s = 24.000188 + p. What is s rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 3*k + 2. Let j be v(3). Suppose -4*y = -2*n + 3*n + 1398, -3*y = j*n + 2786. Round n to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*z + 24648 = -716*z for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y\/(y*y**7)))))\/y**11*(y*y**(-1\/6))**(3\/4) assuming y is positive.\nAnswer: y**(-19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -324\/5 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -20, 1\/3, -35, -4, 1?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-18)*(-45)\/(-20). Let u = -5 - -9. Solve -3*q - 15 = -p*k, -u*k + q + 4 = -4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*r + 32 = -123*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.051 less than 0.884331?\nAnswer: 7.935331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74983 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5528869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 1 - 3) + -10 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7192040, 7192038, 7192036, 7192034, 7192032, 7192030?\n\"Answer: -2*y + 7192042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = v - 19, 0*v = 2*v + f - 2. Let y be -8*(-3 - (-22)\/8). Solve -c + 2*a = y*c, -3*c = -3*a + v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40337\/114 - (-2)\/12. What is the highest common factor of 12 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12115\/2 - -6529965\/1078. Let r = x - 8\/49. Which is the closest to -73? (a) r (b) -1\/3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -220*j**2 + 132*j - 229*j**2 + 451*j**2 as z*j + v*j**2 + n and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 4 + 8 + 1. Let k be (-6)\/9 - 2\/6. Let y be (0\/(-5))\/(k - -2) + 3. Let p(g) = g + 4. Give y*p(w) - 2*c(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9747355.\nAnswer: 5, 1949471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92.42 - -87. Round j to 1 decimal place.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*r**3 + 32*r - 31*r + 2*r**3 wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 468818 and 1624.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 = -16. Let l be y\/1 - (-2)\/1. Let q(f) = -f - 2. Let n be q(l). Solve n = -s - s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/(-147))\/((-1785)\/26418)?\nAnswer: 74\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 180385811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56, 112, 172, 236, 304, 376, 452?\n\"Answer: 2*t**2 + 50*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 1 - 1)*(-20*l + 61*l - 21*l)*(-2 - 3 + 3) to f*l + d + a*l**2 and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 83685005 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17674 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1467*d - 1474*d + 1 - 6*d**2)*(-3 + 3 - 3*d).\nAnswer: 18*d**3 + 21*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/13 + ((-22)\/(-12))\/(630\/(-1020)).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 + 106. What is the derivative of 1 + k*r + 20*r - 9 wrt r?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 5*t**2 + 3*t**2 + 0*t**2)*(-3*t - t + 3*t) + t**3 + 0*t**3 + 2*t**3.\nAnswer: 5*t**3 + 11*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1107 divide 1818801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -104.4 * 0.4\nAnswer: -41.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-28)\/(-10))\/(9\/45). Suppose -2*a = -4*a + f. What is the remainder when 11 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y - 66. Suppose 11*g = 175 - 98. Calculate i(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1094*l - 2*l**2 - 2186*l + 1092*l + 7*l**2 - 23*l**2 - 9*l**2.\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 - p**2 + p**2)*(-p**2 + 0*p**2 - 3*p**2) - 2*p**4 + 19*p + 4*p**4 - 3*p**3 - 21*p - 4.\nAnswer: 18*p**4 - 3*p**3 - 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -909*u + 4. Let s be j(-4). What is s rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2, f - 2*f - 5*o + 14 = 0. Suppose f*p + 50 = 9*p. Let q = p + -2. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 32. Let u(o) = o**3 - 6*o**2 + 3*o - 5. Let m be u(6). Is g <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623*c + 355*c = 536 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -21*i**2. Let q(x) = -4617*x**2 - 4479*x**2 + 8711*x**2. Determine q(y(d)).\nAnswer: -169785*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 64c0 + 3?\nAnswer: 64c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1172 - -1117. Is -506\/9 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 275004 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 244*n + 144. Let m(f) = 243*f + 145. Suppose 2*u - 2 = -8. Let k(x) = u*m(x) + 4*y(x). What is the derivative of k(c) wrt c?\nAnswer: 247","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thttttthhtttttttht. Give prob of picking 1 h and 2 t.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 58513\/63 - 5 - (-2)\/9. Let t = -884 + a. Is 37 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - t**2 - 3*t + 4. Let c be p(1). Let j be (c - (-6 - -4)) + -7. Let h(g) = 4*g**2 + 6*g + 1. What are the prime factors of h(j)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnmtl. What is prob of sequence tmtn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 16. What is the second derivative of 17*i**n - 9*i**4 + 10*i - 17*i**3 wrt i?\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-3)\/(2085\/(-695)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76)*-1 + sqrt(76))*1 - sqrt(76))\/(sqrt(4) + (sqrt(4) - (sqrt(96)\/sqrt(3) - sqrt(32))\/sqrt(8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80323 to the power of 1\/2, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10*((-20)\/(-392))\/((260\/(-40))\/13)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 - 2290*h**2 - 3644*h - 1082773. What is l(1147)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 28 and 0.643?\nAnswer: 27.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 148655707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 870 and 31845567.\nAnswer: 318455670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y + 52 = -5*h, -3*h = -y + 32. Let l be (h\/16)\/3*-8. Suppose 3*u = l*z - 53, 0 = -4*z + 3*z + u + 27. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67158908881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2*u - 12. Let d(q) = q + 6. Let t be d(u). Let f be (-2 + 0)\/(-2)*2. Solve -c = -f - t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 12*r**2 + 10*r + 9. Let f = -13 + 24. Let u be s(f). Let h(v) = -v**3 - 2*v**2 + 5*v + 2. Let l be h(-3). Which is smaller: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 24 + 32. Let w be 3*(u\/6 + 1). Let o = w - -7. 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 f be 3 + 0\/(-2 - (-5 - -1)). Let r = 151.6 - 152. Put f, -2, -3, r in decreasing order.\nAnswer: f, r, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1157*d**2 - 2*d + 0*d + 1131*d**2 to v*d**2 + f*d + k and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53186642 to the power of 1\/2, to the nearest integer?\nAnswer: 7293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30111323123 (base 4) to base 12.\nAnswer: 110050b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 1624001?\nAnswer: 1624000.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 48. Suppose 0 = 4*n - 4, -4*w = -4*n - y*n - 84. Let a = -2 + w. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v)**(5\/3)\/(v**(-2\/17)\/(v*v**(-4\/9))) assuming v is positive.\nAnswer: v**(-407\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51380*t**2*x**3 - 2*t**2*x - 303*t*x**3 + 22*t - 2*x**3 wrt t?\nAnswer: -102760*x**3 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 81, -3, 2, 4 in decreasing order.\nAnswer: 81, 4, 2, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a factor of 905395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9158888 by 147724.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 9:46 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*j**3 + 15*j**3 - 40*j**2 - 18*j**3.\nAnswer: 4*j**2*(j - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10368*m**2 + 9032?\nAnswer: 20736*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1434433200 rounded to the nearest 1000000?\nAnswer: -1434000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 41?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**3\/2 + 879*s**2\/2 + 24948*s = 0 for s.\nAnswer: -216, -77, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -8 - 11 - -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/828 and 41\/10526421.\nAnswer: 2905292196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*n - 15 = 329*n - 3*q, 4*n + 5*q - 25 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4305 + -1?\nAnswer: -4306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/2))**(-5\/18)*k\/k**(3\/4)*k**(-8) assuming k is positive.\nAnswer: k**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -82, -274, -2, -5 in descending order.\nAnswer: 3, 1, -2, -5, -82, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 221.97029199 and 1.1.\nAnswer: 223.07029199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 + 0*x**3 - x**3)*(1 + 1 + 0)*(10*x + 9*x - 7*x).\nAnswer: 48*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 12:56 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 678 and 594154?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68547 is divided by 482.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 1:34 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 6 - 10 + 85*y as j*y + m and give j.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/43 (b) 0.33 (c) -0.3 (d) -0.5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9302 + -167387\/18. Calculate the common denominator of (-662)\/(-132) + (-3)\/9 and j.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 t, and 2 c when four letters picked without replacement from xxujtjcxtt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -12 (c) -7 (d) -1\/2 (e) 57 (f) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9066, -4, -2, 2, -2\/9, -0.04, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55280 is divided by 193.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*l + 49, m + m = l - 17. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1900))*1.\nAnswer: 2 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2, 3, 0.2, 293 in decreasing order.\nAnswer: 293, 3, 2, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 10*u**2 - 8*u + 5. Give g(5).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.124 - -2.624. Which is the nearest to 1\/4? (a) f (b) 4 (c) -2 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) 1 (b) -0.5 (c) 0.8 (d) 13 (e) 1244\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*b - 17 = 0, -m + 7 = m + b. What is the third biggest value in -0.3, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2. Let t(v) = -42*v - 51*v + 92*v. Calculate i(t(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 2 - 2\/(-2). Suppose -2*y + 5*o = -3*y + 32, -z*y = 3*o - 36. Let i = 4 - -1. Solve i*s - y = 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 - 19*v - 17. Let c be o(-12). Let q be -8*5\/(10\/c). Suppose 10*f - 6*f = q. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/10)\/3)\/(1260\/(-55650)*318).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86850 a multiple of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*t - t - 21 = 0, 0 = j - 4*t. Suppose 2*b = j*b - 18. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9*r**2 + 16*r + 3. Let z(b) = 13*b**2 + 24*b + 4. Let v(f) = 7*x(f) - 5*z(f). What is v(-6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16609830 is divided by 2393.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8527 (base 10) in base 12?\nAnswer: -4b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -17*j + 4. Let b(w) = 3*w**2 - 4*w**2 + 259 - 259. Calculate s(b(p)).\nAnswer: 17*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + ((-19 - 5) + -3 + 15 - -85).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.2 + 13.2. Let n = 8.12 - 0.12. Let l = n - 7.7. What is the third smallest value in c, 2\/11, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -153, -199, -275, -387, -541, -743, -999?\nAnswer: -1315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 13, -1, 14, 1926 in descending order.\nAnswer: 1926, 14, 13, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1406877 to the nearest integer?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -325133, -650239, -975327, -1300403, -1625473, -1950543, -2275619, -2600707?\n\"Answer: -x**3 + 15*x**2 - 325144*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395752699 to the power of 1\/3, to the nearest integer?\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/1*5\/(-10). Let c be (-2)\/s + (-18)\/(-8). What is the units digit of (-1)\/(c*3\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679313 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 3*q - 105, 5*b - 4*q + 2*q - 161 = 0. Calculate the greatest common factor of b and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4399, -17777, -40073, -71287?\n\"Answer: -4459*h**2 - h + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.42 + -0.34. Let p = c + -0.080053. Round p to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppxxppmppxpx. What is prob of picking 1 p and 2 x?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 p when four letters picked without replacement from zppzpzppzzpppzzzzpp?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 466921 and 1911?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + (-7 - (20 + -6 + -1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 - ((-12 - -7) + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-8)\/4 - 7. Let f be j*(3 - (-68)\/(-20)). Suppose b = -f*b. Solve 3*k + k = b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-3*9 - -2). Let v = 31 + u. Solve v*q = b - 30, -b + 5*q + 45 = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170 - 27*r**2 + 700 - 177 - 160 - 193.\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 11 = -c, 5*u = -3*c + 30 + 17. What is the smallest common multiple of 9 and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 102*y**3 - y**2 + 5*y - 3. Let w be i(1). Is w greater than or equal to 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*s - 120*s - 7154 = -62*s for s.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*i + 4*c - 8 + 124, -3*c = 4*i + 67 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -470, -349, -194, -41, 74?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3458 + 3499. Calculate the greatest common divisor of v and 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a + a + 6*a + (18*a - 25*a - 42*a)*(-4 + 6 - 4) + (-3 + 2 + 2)*(4*a - 2*a - 4*a).\nAnswer: 98*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6*c = 8*c - 1369, 0 = 3*f - 3*c - 1389. Does 51 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -233*u**2 - 191?\nAnswer: -466*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 4*a + 3*a. Let p(i) = -102*i - 13. Let t(f) = 69*f + 9. Let x(u) = -5*p(u) - 7*t(u). Give x(g(o)).\nAnswer: -54*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, -3\/4, -0.7, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 2*y**2 - 7*y - 5. Let d(v) = v**3 + v**2 - 1. Let k(w) = -d(w) - s(w). Is k(-4) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/115 + 131\/920. Let f = 7\/10 - 11\/30. Which is the smallest value? (a) f (b) h (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*1\/(-3) - (-34)\/6. Let y(g) be the first derivative of 3*g**4 + g**2 - 4 + 0*g + 8\/3*g**3 + 1\/3*g**w + 8\/5*g**5. Factor y(q).\nAnswer: 2*q*(q + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -2169512\nAnswer: 86780.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6988251121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111.77 + 111.77. What is the nearest to 2\/201 in 1\/3, b, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6972?\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2877, -6237, -9643, -13095?\nAnswer: -16593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011100000110100 - -1?\nAnswer: -1000011100000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -541 + -91. Let t be (-2 - l)\/2 + 0. Let p = t - 124. Is p 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 -533183*s*w**4 + 18*s*w**2 + 2*s + 2*w**6 - w - 455 wrt w?\nAnswer: -12796392*s*w + 240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 4:25 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144256 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 35104707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a century?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/5724 and 133\/540.\nAnswer: 28620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) + (-1406)\/(-222). Let f(n) = 580518*n + 199955*n - 416974*n + 486503*n - 12. Let x be f(b). Round x to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205500706 to the nearest integer?\nAnswer: 14335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.479 - 12.713. Let s = -2 + 16. Let y = s + k. Round y to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - t - t)*(-3*t**4 - t**4 + 2*t**4) + 2*t**2 + 0*t**5 - t**5 - 4*t**2 + t**5 - 2*t**5 + 2*t**5.\nAnswer: -4*t**5 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6))\/(15 - (-1326)\/(-51)).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 + 81 + -2 + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 at least as big as -273154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*x. Suppose x*l - 36 = -4*l. Solve 5*m - 2*u + l = 27, -16 = 2*m + 5*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -0*i + 4*i + 7, -3*b - 4*i = 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7931 + -9081.7931. Let u = b + 9080.6339. Let v = u - 0.0409. What is v rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -215 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 1) + (412\/(-2))\/(-1). Let r(i) = -92 - 22*i - 94 + m. What is the hundreds digit of r(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**4)\/h)\/h)**(-12\/13)\/((h*h**(2\/61)*h)\/(h*h**26*h)) assuming h is positive.\nAnswer: h**(18396\/793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**5\/5 - 102*r**4\/5 + 882*r**3\/5 + 11078*r**2\/5 + 10092*r\/5 = 0.\nAnswer: -6, -1, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 3 - 3)*(-1 - 2*l + 1 - 2).\nAnswer: -2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6273 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 22 + 172 = 0. Suppose 3*r = m - 14. Suppose -4*g - 2232*i - 20 = -2236*i, -6*g = -i - 10. Calculate the remainder when r is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*m + 50*m = 633. Suppose -4*z + 48 = 4*g - 144, 2*z + 10 = 0. What is the remainder when m is divided by g?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5112 and 3838970.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -34868771 minus -9813?\nAnswer: -34858958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-215)\/105*7 + 14\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*f + 72 + 3, 3*f - 70 = -2*d. Calculate the remainder when 58 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/18 and -61\/4406.\nAnswer: 39654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/10*(340\/40 + -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 7*c. Suppose -15 = -5*g - c*g, -4*z - g + 171 = 0. What is the greatest common divisor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -4. Let c be (-8)\/(-3) - (-1)\/b. What is the third derivative of -3*o**2 + 0*o**3 + 2*o**c + o**3 wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241442012 (base 5) to base 14.\nAnswer: 213bcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + c**2 + 81*c - 81*c to q*c + x*c**2 + t and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-192)\/48*1\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/35? (a) 0.3 (b) 0.5 (c) -3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glnnlplpujnljlpjp. Give prob of sequence ll.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 835391, 835389, 835387?\nAnswer: 835385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**8\/784 + 8*p**7\/245 + 4*p**6\/35 - 192*p**5\/35 - 288*p**4\/7 + 492*p**2. Factor d(i).\nAnswer: -3*i*(i - 12)**2*(i + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 58274040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**4 + 1003*p**3 - 4*p**2 - 143*p.\nAnswer: 48*p + 6018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 7*l + 12. Suppose 3*o = -t - 3, -l*t + 0*t = -5*o - 22. What is the lowest common multiple of 8 and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39913 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {d: 2, t: 2, h: 1, m: 9, l: 3}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3674 at least 3751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 - 49*y + 284. Is r(29) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 7272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -4*u + 22, -3*j - 94*u - 24 = -107*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 586, 0, 7 in ascending order.\nAnswer: 0, 7, 586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 6*h - 4*h)*(3 - 3 + 3) + 353117 - 353117 + 417*h.\nAnswer: 414*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 4*n**2 + 5*n - 1. Suppose 6 + 4 = 2*g. Suppose -g*o + s + 24 = 0, o - 3*s - 22 = -4*o. Calculate k(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 31. Suppose o + h = 5. List the prime factors of -2*o\/(-3)*(-774)\/(-4).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 3*p + 0*p. Let b(s) be the second derivative of s**6\/180 + s**4\/6 - 3*s. Let z(o) be the third derivative of b(o). What is z(n(d))?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*r - r + 16212. Let v = r + -236. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 + 1. Let m(k) = -27*k**3 + 73. Let p be (-11)\/(132\/16)*-3. Let c(t) = p*w(t) + m(t). Differentiate c(b) wrt b.\nAnswer: -57*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -688*q + 687*q + 10. Solve -15*u + 13*u = -q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1557, 1708, 2085, 2790, 3925, 5592, 7893, 10930?\nAnswer: 14805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -12*a**2. Let f(v) = 81*v - 185*v + 35*v - 195*v. Calculate d(f(x)).\nAnswer: -836352*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11037, -11035, -11033, -11031, -11029, -11027?\nAnswer: -11025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3 - 9 = -u, 5*j = -5*u - 60. Let f be ((-186)\/j)\/(-3) + (-15)\/60. Is -10 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -9, -3, 6, 51 in decreasing order.\nAnswer: 51, 6, -3, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3784 and 408?\nAnswer: 192984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -3 in descending order.\nAnswer: 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 181830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8125*b**2*n**3 - 6419*b**2*n + 2*b**2 - 8*b*n**3 + 3*b*n + 4*b - 2*n**3 + 51*n**2 + 22 wrt b?\nAnswer: 16250*n**3 - 12838*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-27)\/(-45) - (0 - (-2)\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, i: 6, j: 1, u: 1}. Give prob of picking 1 m and 1 u.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 5*u**2 - 6*u + 4. Let s be w(-6). Let b = 19 + s. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 1 - 3. Suppose 77*d + 22368 = 29*d. Let x = 469 + d. Solve s - 4*l + 17 = 1, -x*s - j = -l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -22. Suppose 0 = 9*q + 6 - 33. Suppose -r = -4*y - 38, -5*y = -q*r + 2*r + 34. Calculate the remainder when r is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 4344020\nAnswer: -13032060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h = -42 + 210. Solve 15 = -h*n + 7*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l**2 + l**2 + l**2)*(-4 + 3 - 3)*(3*l - 2*l + 0*l) as c*l + k*l**3 + d*l**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 20 = -3*c. Calculate the greatest common factor of 25 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + m = 58, -k + 628 = -3*m + 326 + 316 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/105*13\/(182\/(-30)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - 32*h - 341*h**3 + 2*h**4 + 0*h**2 + 13*h + 6 + 685*h**3 - 343*h**3 to the form d*h + x + j*h**3 + n*h**4 + a*h**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -9. Suppose 2*u - 2 = -4*z, -4*u + y*z + 11 = 4*z. Suppose -5*b = -u*b - 22. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(-5 + -2*sqrt(512)))**2.\nAnswer: 20480*sqrt(2) + 132672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 592\/(-2622) + (-740)\/21090?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 14*x - 12. Let i be k(-12). Let r = i - 18. Let f be (-12)\/(-18) + r\/9. Solve 0 = -f*h - 5*h + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 5643000 = 21*x. What is x rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*t - 5, -54*s - 20 = 3*t - 50*s. Suppose -148*x + 159*x - 129481 = t. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208279 is divided by 205.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*2)**2 + 5.\nAnswer: 3569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + r + r**3 - 2*r**3 - 7 in the form v + d*r**3 + x*r**2 + o*r and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - u**2 - 5*u + 3. Suppose -2*n + 21 = 5*v, 0*v = n - 5*v + 12. Let d be k(n). Suppose 0*s = -s + d. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15084, -15097, -15120, -15159, -15220, -15309, -15432, -15595?\n\"Answer: -c**3 + c**2 - 9*c - 15075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 83, 133, 209, 305, 415, 533, 653?\n\"Answer: -i**3 + 19*i**2 + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 636.\nAnswer: -1\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4\/13 + 100*m**3\/13 - 9128*m**2\/13 - 663460*m\/13 - 10753050\/13 = 0. What is m?\nAnswer: -57, -35, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -580*w + 588*w + 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 r, and 1 k when four letters picked without replacement from {k: 5, r: 6, d: 5, y: 1}.\nAnswer: 15\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1 + 92*2\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70.7 - -70.5. Let i be (-17)\/(-117) + (-4 - 102\/(-27)). Which is the nearest to q? (a) 3 (b) i (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5 - 129*c**4 - 3168*c**3.\nAnswer: -c**3*(c + 33)*(c + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 43452939.\nAnswer: 43452936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -97, -147, -197, -247, -297?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -13. Suppose 244 = -3*v + z*v. What is the remainder when v is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 2\/8362463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 90*z - 204. Let d be b(85). Is 235 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10*(45\/39)\/(-3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70826 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (299\/(-132) + -2)) + (-46)\/138?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1907, 3734, 5503, 7184, 8747, 10162, 11399, 12428?\nAnswer: 13219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-304)\/(-1980) - (-2)\/(-33)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066 a factor of 3492954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/83884168 and 67\/72.\nAnswer: 754957512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.937 - 0.5855. Round b to two decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Let a be 1458\/30 + 4 + (-2)\/(-5). Let x = -48 + a. Solve t*v + 9 = x*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 28155627 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 101?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**3 + 15*d**2 + 7*d + 5. Let v(o) = -2*o**3 + 7*o**2 + 4*o + 3. Calculate 3*i(a) - 5*v(a).\nAnswer: a**3 + 10*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p + 1. Let y be m(1). Suppose 8*o - y*o - 32 = 0. Solve -o = r + 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 23*d**2 - 22*d + 46. Determine l(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**4 + 8*j**3 + 80*j**2 - 264*j + 180 = 0.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9719204.27 and -4.\nAnswer: 9719200.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -21, -23, -23, -21?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 3:51 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24239*m - 3187*m**2 - 24239*m)*(-2*m**2 - 3 + 3 - 2*m).\nAnswer: 6374*m**4 + 6374*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 2*j**2 - j - 6. Calculate the smallest common multiple of 55 and h(-4).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-8))\/(6\/2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21546 or 20691?\nAnswer: 20691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**6\/120 - 3*s**5\/20 + s**4\/4 + 5*s**3\/6 + s**2 + 21*s. What is q(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 0*s = -28. Let z be s\/(-5) + 10339\/35. Suppose -8*x = -305 - z. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 1. Let h(b) = -b - 3. Let p(t) = -h(t) - 2*y(t). Let k be p(5). Let u = -0.44 + -0.06. Sort -6\/5, k, u in descending order.\nAnswer: u, -6\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 323253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**4\/12 - 7*k**3\/6 + 5*k**2 + 2*k. Suppose -23*l + 9 = 193. Determine m(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**8)\/(w*w**(10\/7)*w)*w*w\/(w\/(w\/(w\/(w**(5\/4)\/w))))*w\/w**(-7\/3) assuming w is positive.\nAnswer: w**(-491\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1490 - -47?\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 8 = -5*o. Let s be (-1 - -2)*(3 - 1). Let p = s - -3. Sort o, p, -4 in decreasing order.\nAnswer: p, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6563 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 1\/4, 4, 5\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, v: 11}. What is prob of picking 2 a?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 1331\/(-2))*124\/186?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1650*d**2 + 100*d - 100. Let z(l) = 50*l**2 + 3*l - 3. Suppose -21*s - 63 = -126. What is s*w(f) - 100*z(f)?\nAnswer: -50*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -45766?\nAnswer: 4576.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*h + 577*h - 477*h - 2429*h**3.\nAnswer: -2429*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -508, -472, -376, -190, 116, 572?\n\"Answer: 5*x**3 + x - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i**3 - 7*i**2 - 7. Let g be -1 + (1 - (3 - 6)). Let h(x) = 4*x**3 + 3*x**2 + 3. Calculate g*q(f) + 7*h(f).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 3. Let x = -285 - -252. Let h be (-1)\/k + 11\/x. Solve 2*z = -5*q, 2*z - 12 = q - h*z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 204*1\/((-4)\/(-2)). What is the highest common factor of 34 and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2502)\/(-24) - 4\/16. What is the greatest common factor of z and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2592 and 2483568.\nAnswer: 14901408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 29 + 14 + 9 + 4 + 0*o**2 - 5*o. Suppose 0 = 2*y - 0*y - 4, 14 = 5*d - 3*y. Calculate s(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, i: 2, p: 1, v: 2, d: 1}. Give prob of sequence ov.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {z: 2, k: 1, x: 3, c: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521 = 4*a + 537 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2903*p**2 - 11737*p**2 - 6776*p**2 in the form h*p**2 + i*p + l and give h.\nAnswer: -15610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63316, 121983, 180650, 239317, 297984, 356651?\nAnswer: 415318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84863 + 84867. Suppose -3\/4*c**2 - 1\/4*c**m - c**3 + c + 1 = 0. Calculate c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 139.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h. Let k(s) be the second derivative of s**3\/6 + 2*s**2 + 21*s. Let n = -21 - -15. Let c be k(n). What is j(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**5 - 1 + 1 + (0 + 0 - 34*u**2)*(3*u**2 - 3*u**2 + 2*u**3)*(2 + 1 + 6).\nAnswer: -610*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -40716*a. Let w(m) = -2*m**2 + 8*m. What is w(c(k))?\nAnswer: -3315585312*k**2 - 325728*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46069*c**4 - 3*c**3 - 755*c**2 + 6*c + 19 wrt c?\nAnswer: -1105656*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l. Let u be w(1). Let k = 1\/596 - 671\/298. Is u less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m + 10. Let y be i(3). Let d be ((-578)\/y)\/((-12)\/6). Let k = -58 - d. Which is the third smallest value? (a) 5 (b) -0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -38*o + 49. Suppose -9 - 1 = 5*y + 5*x, y = -5*x + 6. Sort o, y, -5.\nAnswer: -5, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 4 = -8*g. Let -b**2 + 11*b**3 + 8*b**3 - 17*b**3 + g*b**2 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**3 + 2*k**2 + 11*k - 8. List the prime factors of v(5).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47778, -3\/5, 382 in descending order.\nAnswer: 47778, 382, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - n - 2*n - 763 = 0, -g + n + 763 = 0. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 5. Let s be (i - 1) + -3 + 38. What is s rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2376 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43544.\nAnswer: 2, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, l: 6}. Give prob of sequence mmll.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 580 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -4*b - 7, -54*b = -52*b + 2*v + 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -586 - -648. Let w = 62.886 - m. Round w to 2 decimal places.\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (-14 + 20 - (-2 - (-3 + 1)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 738, 1491, 2240, 2979, 3702?\nAnswer: 4403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a - 1084 = -127*a + 1916 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 8:23 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/(-52)*2\/33\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence by when two letters picked without replacement from yybybybbbybb?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 15*z**5 - 2*z**3 + 24*z**2 - 2. Let h(q) = q**5 - q**3 + q**2 - 1. Let m(w) = 2*h(w) - v(w). Find the third derivative of m(i) wrt i.\nAnswer: -780*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2626\/38 - 1 - (1027430\/(-4826) - -213)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/11 and (-159)\/(-54) - (-2 + 1)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u - 46. Let o be z(0). Let f = -46 - o. Let d be 3\/1 - (0 - 0). Sort f, 4, d.\nAnswer: f, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90656 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017339086403 to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -12*y**2 + 4*y - 3. Let p be b(2). Let l = -6 - p. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvjvvvvvvvvv. What is prob of picking 1 j and 3 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2449 and 0.6?\nAnswer: 2449.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**5\/30 + a**3\/3 + a**2\/2 + 2. Let g(k) be the second derivative of m(k). Factor g(n).\nAnswer: -2*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22549 or -22689?\nAnswer: -22689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k. Let i(z) = 4*z. Calculate -6*b(u) - 5*i(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079161 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -143, -145, -147?\n\"Answer: -2*p - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 5*w**2 + 4*w - 1. Suppose 2*h = -4*a + 982, 5*a = -6*h + 4*h + 1225. Let f = 246 - a. Calculate v(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 2*i**2 + 3*i - 16. Let m be l(3). Suppose 3*s - 1101 = -m*j, 3*s - 5*j - 1092 = -10*j. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 2)*(0 + 2*j + 0)*((-11 - 2 - 3)*(-2*j + 0 + 0) - 3*j + j - j - 3*j + 3*j + 2*j) in the form g*j**2 + l*j + z and give g.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-9))\/p**(3\/2) assuming p is positive.\nAnswer: p**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132843289?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 23*d**3 - 17*d**2 + 17*d - 17. Let w(i) = -8*i**3 + 6*i**2 - 6*i + 6. Let n be 20\/(-3)*(-12)\/10. Suppose 0 = -4*k + 16 + n. What is k*g(m) + 17*w(m)?\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 21*s = -2499. What is the third derivative of -42 + 85 - 6*m**2 - 43 + s*m**2 - 66*m**3 wrt m?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57041 smaller than 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 + 9*p**2\/2 + 15*p\/2 + 7\/2.\nAnswer: (p + 1)**2*(p + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 813470 + -5?\nAnswer: 813467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 34*o + 283. Determine g(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 3, -0.3, 1\/2, -621, -35\/2?\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*a - 48 = 512, t + 3*a = 104. What is the highest common divisor of t and 3364?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 28*h - 9*h - 5 - 3 + 16*h**2 - 20*h**2. Let u(p) = 2*p**2 - 2*p + 6. Let w be u(1). Let y be s(w). Which is greater: y or -39?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 201\/2902 - 598655\/7553906. What is the common denominator of a and 121\/114?\nAnswer: 15618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*t + 34, 5*o + 4*t = -0*t + 35. Solve p = -o*y + 12, -2*p + 9 = -12*y + 15*y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7328 (base 11) to base 13.\nAnswer: 455c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89547 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (7*(-2)\/14)\/(7*(-2)\/(-98))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 17 + 0 + -4 - -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**6\/70 - 43*w**5\/140 + 9*w**4\/8 - 998*w**2 - w. Determine z, given that x(z) = 0.\nAnswer: 0, 7\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 423083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let l(t) = 4 + 3 - 7 - 6*t. Let u(k) = 5*h(k) + l(k). Let a be u(-3). Solve -3*o = -2*o - a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -3 (b) 4 (c) -69161 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-9423)\/7329*1\/6\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) -1\/37510 (b) 4\/7 (c) -4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhl when three letters picked without replacement from {m: 2, f: 3, h: 1, l: 2, b: 4}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -13664887\nAnswer: -13664891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)*i\/((i*i**5)\/i))\/(i**(-2)*i*i\/(i*(i**(1\/5)*i)\/i))*(i**(2\/9))**26*i\/(i*i**6)*i\/((i*i*i*i**(-4\/7)*i)\/i) assuming i is positive.\nAnswer: i**(-2032\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -621 + 622. What is the closest to k in 0.4, -2\/3, 4, -13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9493, -21392, -33291, -45190?\n\"Answer: -11899*m + 2406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -931 or -929?\nAnswer: -931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 62*l - 64*l, -s + 4*l - 8 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36573 divided by 3.\nAnswer: 12191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24.5 - -21.43. Let b = -38 - -40.9. Let y = b + m. What is y rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*r + 0*r + 14 = 0, -4*r = -2*c - 6. Let l = 5 - c. Solve -l*d + 26 = 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 39*x + 530. Give a(9).\nAnswer: 881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29.99 and -0.3?\nAnswer: -8.997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2585 + -2552. Let o(j) = j**2 + 8*j + 1. Let c be o(-7). Let v(u) = -2*u - 3. Calculate the lowest common multiple of v(c) and r.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-482)\/(-8) - (-1)\/(-4). Suppose 0 = 7*s - 9*s + f. Suppose 4*c + 600 = 8*c. What is the greatest common factor of s and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - k + 7, -11*k = -4*x - 6*k + 37. Solve 2*l - x*l + 2 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + 101111010010?\nAnswer: 101111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/(4*(-3)\/(-24)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1)*u*u*u*u\/(u*u\/(u**(4\/7)\/u)*u*u)*u)**(3\/4) assuming u is positive.\nAnswer: u**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302991941.\nAnswer: 3, 434330647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49355?\nAnswer: 5, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(2\/3)*k)*k)**9*(k**(-1))**47 assuming k is positive.\nAnswer: k**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34441\/7 or 4921?\nAnswer: 34441\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 17 = 5*d - 0*h, -2*d = -3*h. Suppose p + d = 2*p. Find the third derivative of -2*y**2 - y**6 + y**6 + p*y**6 wrt y.\nAnswer: 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + 14*m**2 + 9*m - 3*m)*(-17*m**2 - 29 + 29)*(1 + 0 + 2) to d + t*m + p*m**2 + a*m**4 + c*m**3 and give a.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(8\/264)\/((-2)\/(-12)). Sort -3, 2\/5, m.\nAnswer: -3, m, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30234209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 - 6*n**2 - 5. Let y be f(6). Let o = 360 - y. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - 5. Let x = 8 + i. Let p = -1 - -2. Which is the nearest to -1\/2? (a) x (b) -3\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -36, -2\/43, 0.1, 2?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 74 - 2 = 0. What is the units digit of (-16)\/c - 62\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40004, 73711, 107416, 141119, 174820, 208519, 242216?\nAnswer: 275911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 199752421*s**4 + s**2 + 319*s - 162001?\nAnswer: 4794058104*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59658 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3796, 0.5, 0.01, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2956 and 1188.\nAnswer: 877932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.0652 rounded to zero dps?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2202, -1605, 14, 3165, 8358, 16103, 26910, 41289?\n\"Answer: 85*t**3 + t**2 - t - 2287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5996888 and 744?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 + 5*y**2 + 19*y**2 to the form o + u*y**2 + w*y and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7194582 a multiple of 534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15023771 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * -4.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 - 5*p**2 + 5*p**2 + (-3 + 3 - 2*p**3)*(-p**2 + 3*p**2 - 4*p**2) + 0 + 0 - p**5.\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28254 less than 3161?\nAnswer: -25093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26 + 1 - 20\/(-5). Solve -4*p - 4*w = -28, 5*p + 3*w = -w + r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*i - 40 - 5 = 0, -2*b + 42 = 4*i. Let g = 23755 - 23680. What is the greatest common factor of g and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 - ((0 - -14) + -9). Let t = -111 - -136. Sort l, 2, t in ascending order.\nAnswer: 2, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2402 + -1341. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.753 and -1.\nAnswer: -2.753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 313, 1283, 2907, 5185?\n\"Answer: 327*v**2 - 11*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637070867?\nAnswer: 637070867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 0)*(3954*t + 193*t**3 + 132*t**2 - 192*t**3 - 3956*t - 20) to n*t**2 + q*t + m + w*t**3 and give n.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3279 + -776024202\nAnswer: -776020923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 78 in 1\/2, 0.2, -635, -10\/7, -5, -1\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64*a**4*b**2 + 129*a**4*b - 32792*a*b**2 wrt a.\nAnswer: -768*a**2*b**2 + 1548*a**2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 414999, 829986, 1244971, 1659954, 2074935, 2489914, 2904891?\nAnswer: 3319866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0544 and -0.7?\nAnswer: -0.03808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 744 - 359 - 320 + c to y + j*c and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 9 + l + l + 0*l. Let f be a(-5). Suppose -f*v = -v + 6, -3*g + 10 = -5*v. Solve g = -3*n + 17 - 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-221)\/(-702))\/(-1*(-1)\/21) and 32\/5.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from {q: 1, b: 1, a: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.017 + -0.383. Suppose -v = -4*q + 14, 5*v - 2 - 4 = q. What is the second biggest value in 3, z, 10\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**5\/15 + l**4\/12 + l**3\/3 - 3*l**2. Determine q, given that v(q) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Let i = 143 - 142. Let g = t - i. What is the closest to -2\/3 in 1\/3, g, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -10*u**3 - u**2 - 2*u - 1. Let y(n) = -n - 6. Let p be y(-6). Suppose 5 = 5*s + 2*j - 3, -s = 2*j. Let c be (p - s)\/(2 + 0). Determine m(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.82878 rounded to two dps?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l - l**2 + l + (2*l - 3*l - l)*(1 + l - 1) - 2 - 84*l**2 + 2*l - 92*l**2 + 148*l**2.\nAnswer: -31*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, p: 3, n: 11}. What is prob of picking 1 p and 2 r?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 391.19 - 388.19. What is the nearest to 0 in 15, w, -0.2, 20?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1233 divided by 366\nAnswer: 411\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**4*j**2 + 2*b**4 + 2*b**3*j**3 - 2*b**2*j**3 + 9*b**2*j - 3 wrt b?\nAnswer: -48*b*j**2 + 48*b + 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**3 + 3*u**2\/2 + 36*u + 93. Solve c(y) = 0 for y.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o - o + 0*o + (-1 + 4 - 5)*(-3*o + 4 - 4) + (-2*o + 0*o + 3*o)*(1 + 5 - 1).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-48))\/(-4*(-2)\/16).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - 2*w**3 + 2*w + (2 - 2 + 2*w**2)*(-w + 2*w - 3*w) + 2*w**3 - 5*w**3 + 0*w**3 + 1 - 549*w**3 - 95*w**3 - 3.\nAnswer: -653*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0 - 3*q + 4)*(0 - 5 + 1).\nAnswer: 8*q - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89838440.\nAnswer: 2, 5, 2245961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442323231 (base 5) in base 11?\nAnswer: -2203a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.3133 + 12.\nAnswer: -13.3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*r + 79, 0 = -5*n - 5*r + 65 + 145. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31352065\/22 = 1425093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjcjgjcjcjg. Give prob of picking 2 g.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/387000 and 67\/108.\nAnswer: 1161000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*o**4 - 1 - 22*o**4 + 4 - o**2 as s + f*o**2 + g*o**4 + p*o**3 + j*o and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173066?\nAnswer: 2, 86533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 9:01 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(1*sqrt(2)*1) + sqrt(95)\/(sqrt(5) + sqrt(125)) + (1*sqrt(931))**2.\nAnswer: 7*sqrt(19)\/6 + 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/(-27))\/((-27)\/6 + 9145\/558 + -12)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -97b84 (base 15) to base 5\nAnswer: -110404344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241045 (base 6) to base 2.\nAnswer: 101000111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(((z\/(z*z**(5\/11)))\/z)\/z)))\/((z**(12\/7)\/z)\/z) assuming z is positive.\nAnswer: z**(-167\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.8 + -286.8. Let s = 225.3 + r. What is s rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 9:46 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 563044 divided by -2\nAnswer: -281522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172390717*a**6 - 1075717200*a**2 wrt a.\nAnswer: 20686886040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2 - (-7 - -19)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*sqrt(243))\/(sqrt(9) + (sqrt(90)*-3 + sqrt(90))\/sqrt(10)).\nAnswer: -9*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g**2. Let m(x) = -629*x + 333. Let z(t) = -6*t + 3. Let q(h) = -2*m(h) + 222*z(h). Determine a(q(c)).\nAnswer: -32856*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9*l)**43 assuming l is positive.\nAnswer: l**430","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (99\/(-33))\/(-8 - (-5 - (-4 + -2)))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2756 (base 8) to base 15.\nAnswer: -6b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4246257*v**3 + 4369805*v**2.\nAnswer: -25477542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 466200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/21*(-1)\/(-8)*-84\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 22 = 46. Let t be -28*4*(-4)\/(-32). What is the remainder when b is divided by (-4)\/(-8)*t*10\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129432228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9092 by 88.\nAnswer: -2273\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 125 - 646\/5. What is the common denominator of ((-1)\/2)\/((-75)\/(-465)) and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30169360, -60338721, -90508082?\n\"Answer: -30169361*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19440 divided by -144.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14204267 is divided by 3386?\nAnswer: 3383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 20 = -u - 0*f, -2*u + 5*f = -46. Suppose -135 - 69 = -6*z. Calculate the remainder when z is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 greater than or equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**5 + 10*j**4 - 5*j**3 + j**2 - 13*j + 2.\nAnswer: 180*j**2 + 240*j - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from {p: 5, s: 2, l: 3, c: 1, r: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9566471 rounded to the nearest 100000?\nAnswer: -9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (749\/642)\/(2\/(-4))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -679, -3, -1, -16.\nAnswer: -679, -16, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from {k: 2, i: 3, g: 6, e: 2, n: 4}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5 - 2)\/((-35)\/(-175)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.1 - -20.1. Sort -5, x, 1\/3, 2 in ascending order.\nAnswer: -5, x, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12809, 102848, 347233, 823136, 1607729, 2778184, 4411673, 6585368?\n\"Answer: 12862*h**3 + h**2 + 2*h - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 113*i**3 - 33*i**2 - 3*i + 3. Let x(s) = 339*s**3 - 99*s**2 - 8*s + 9. Let w(r) = -8*l(r) + 3*x(r). Find the third derivative of w(t) wrt t.\nAnswer: 678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**2 - 534*v - 10205. Give z(-157).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 427*z - 432*z + 30. Let s(y) = -14*y + 15. Let m(t) = -26*t + 31. Let l(j) = z*m(j) - 11*s(j). What is l(14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f + 14. Let r = -16 - -10. What are the prime factors of x(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5042022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -187 (base 9) to base 16.\nAnswer: -a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*j**2*m**2 + 2*j**2*m + 2*j*m**2 - 2*m**2 - 5 wrt j.\nAnswer: -24*j*m**2 + 4*j*m + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -215943*z**4 + 39*z**3 - 232023686*z**2?\nAnswer: -5182632*z + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l. Let a(b) = -b. Let n(d) = 2*a(d) + 4*j(d). Let w(h) = -836517092*h + 298*h**2 + 836517092*h. Give n(w(s)).\nAnswer: 596*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19)\/((-228)\/(-8)) + (-823985)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q - q - 2 - 4 + q. Let d be u(9). Let v = 20 - d. Solve -v*p = -3*p - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92065446 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/3)\/(184\/(-828)). Let r(c) = c**2 - 1. Calculate r(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 - 15*y + 10. Let s(c) = -12*c**2 + 60*c - 40. Let p(n) = -9*f(n) - 2*s(n). What is the first derivative of p(m) wrt m?\nAnswer: -6*m + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54062.\nAnswer: 2, 27031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3363*v + 156999. Calculate a(47).\nAnswer: -1062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - i**3 + i**3 + 2*i**3 - 3*i**3 + i**2 + 5*i**3 + (-i**2 + 4*i**2 - 2*i**2)*(0 - i + 0) to u*i**2 + b + j*i + c*i**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 12:51 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1016 = -p - s - 3*s, -4*p = 3*s - 4064. List the prime factors of p.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123514 (base 7) to base 8.\nAnswer: 54556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -5, 3207235 in ascending order.\nAnswer: -5, 24, 3207235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 60*t - 176. Calculate x(57).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 394205100 rounded to the nearest one hundred thousand?\nAnswer: 394200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 17\/85 - -110002*2\/(-20). Round a to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02 - -0.32. Let d = i - 0.7. Let a = -33\/140 - 1\/70. Which is smaller: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 k when two letters picked without replacement from {p: 4, k: 6, f: 7, o: 2, u: 1}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 9.8. Let m = 8 - 2. Let g = -5.9 + m. Put q, -5, g in decreasing order.\nAnswer: g, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2014\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1430\/57 in -1\/3, 218, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15.1? (a) -4 (b) -22\/9 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657 = 7*d + 603. Let b be (1\/5)\/((-10)\/d). Factor 108\/5*o - b*o**2 - 216\/5 + 1\/5*o**3.\nAnswer: (o - 6)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*b - 4, -38 = -s + 4*b. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c5861 (base 13) to base 16\nAnswer: -56b4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 12:16 AM?\nAnswer: 94","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12652251.\nAnswer: 3, 4217417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from olhhkollxlllh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 22848?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -28. Suppose -60 = -5*q - 0*q. Suppose -5*y - q = -n*y. Calculate the lowest common multiple of y and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 3*s - 13. Let a(b) = -56*b**2 + 33*b - 39. Let i(m) = 46*m**2 - 28*m + 39. Let r(v) = 4*a(v) + 5*i(v). Determine 3*r(t) + 8*z(t).\nAnswer: 2*t**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-20))\/(9\/(-4))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*f**2 + 160648*f - 6300 = 0 for f.\nAnswer: -3150, 2\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 - 2*o**2 - 2*o + 1. Let a be r(0). Solve -d = -3*i - 2, 4*i + 1 = d - a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29.11 + -29. Let r = u + -0.51. What is the third smallest value in -0.1, -1\/2, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19768 + 20125. Calculate the highest common factor of 1666 and j.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22464?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v + 8*v - 55*v + 12*v + 35*v. Let b = -3 + 6. Let t(m) = -2*m - b*m**2 + 2*m - 3*m**2. Calculate y(t(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3*2486.16\nAnswer: 7458.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1324*p**3 + 326 - 326 - 293*p**3.\nAnswer: 1031*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 4*k + 4. Let h be t(5). Let w(n) = -11*n**3 - 2*n**2 + 1. Let o be w(h). Suppose 3 = u - o. What is the greatest common divisor of u and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 52772, 52771, 52770, 52769?\n\"Answer: -t + 52773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -38*p**2 + p - 1. Let j be h(2). Let x = j - -275. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17022507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005242 to seven dps.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 32. Let p be a(0). Suppose 3*n - 2*s + p = 0, -2*s + 7*s - 50 = 5*n. Are n and -12 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(-25) + 1 + 55\/((-177375)\/408)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.29 + 0.01. Let r = 0.16 + 0. Let h = -0.04 - r. Sort 0.2, h, z in ascending order.\nAnswer: h, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*m - 1118*m - 18*m.\nAnswer: -1363*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4 - 2420*f**3 - 2434*f**2 + 14532*f = 0. What is f?\nAnswer: -3, 0, 2, 1211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/5)\/(v**12\/v) assuming v is positive.\nAnswer: v**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 596879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 5595 and 0.0080254.\nAnswer: 5595.0080254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/7 + 79*u**4\/7 + 2302*u**3\/7 + 29762*u**2\/7 + 161345*u\/7 + 304175\/7.\nAnswer: (u + 5)**2*(u + 23)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(486)*-1 + sqrt(486))*-5)\/((sqrt(3) + sqrt(21)\/sqrt(7))*1 - sqrt(9)\/(sqrt(147) - sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -315 - -313. Let k = 393 + -3911\/10. Let q = 21\/10 - k. Which is the closest to q? (a) -1 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2352\/65 - -473\/13. Let 12\/5*t + 36\/5 + s*t**2 = 0. Calculate t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*y**3 - 63*y**3 - 95*y**3.\nAnswer: -109*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*s**3 + s**2 - 30*s**3 - 22*s + 10*s**3 + 3*s**3 + 6 as w*s**3 + b + x*s**2 + t*s and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -595 = -2*x - 3*x. What are the prime factors of x?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -75439*f**2 - 75441*f - 2 = 0. Calculate f.\nAnswer: -1, -2\/75439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7*88046\/(-1324)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 15284*t + 15280.\nAnswer: 4*(t - 3820)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58609572 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - 2. Let t = -21 + 11. Let z = t - s. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230824633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 756, 785, 828, 885, 956?\nAnswer: 1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 2, t: 1}. What is prob of picking 1 j and 1 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 + 69 + (4 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 19*c**2 - 2 + 4*c**2 to the form x*c**2 + f + g*c and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millisecond in microseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -11 (c) 4 (d) 4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -84*r**2 - 1. Let u be i(-1). What is the tens digit of ((-8)\/10)\/(2\/u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 7 = -3. Let k be (-1)\/d + 2470 + -1. Let v = k - 317. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.034?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (70865 + 72746 - 141723)*(0*k - 2*k + 4*k)*(-78 - k + 78 - 2*k**2) as u*k + i*k**2 + r*k**3 + o and give r.\nAnswer: -7552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1677185395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.04, -931, -1\/3, 0.3, 1 in increasing order.\nAnswer: -931, -1\/3, 0.04, 0.2, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-50)\/(-20))\/(1 + (-9)\/12). Let h = 1 - -4. What is the smallest common multiple of 4 - (h - 1 - v) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273 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: Divide 1739 by -44202.\nAnswer: -1739\/44202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-210)\/(-56) + (-2)\/(-8) - 4. Suppose -354 = -36*g - 102. Put g, 0.5, -1, c in descending order.\nAnswer: g, 0.5, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 384474.8nm to micrometers.\nAnswer: 384.4748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 42369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + v**2 - 4*v**2 - v**2 - 19*v**2 - 11*v**2 + 5 - 12*v**2 - 5 + (-v - 8*v - 4*v)*(2*v + 0*v - 5*v) in the form m*v**2 + i*v + d and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -27) + -112 - 24\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1.09 (b) 1 (c) 0.5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4565021*b**4 + 58597636*b**2 wrt b?\nAnswer: -109560504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -17*m - 35. Calculate t(4).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -634, -979, -1472, -2113, -2902, -3839, -4924?\n\"Answer: -74*q**2 - 123*q - 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + 14.8. Let t = 21 - n. Which is the nearest to 0? (a) 2 (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - o = 12, -156 = -72*v + 71*v + 13*o. Let y = 1.1 + -0.6. Let m = -0.4 + -1.6. What is the nearest to m in v, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16724 - -16723.87339. Let o = -0.126 - b. What is o rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 10*n**2 + 9*n + 4. Give t(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 102\/(-408) - (-826)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37419646 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 24*j**2 - 56*j + 212. Let w(y) = -5*y**2 + 10*y - 42. Let f(g) = 6*h(g) + 28*w(g). Factor f(p).\nAnswer: 4*(p - 12)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*h - 9*h - 5 = 0, h + 14 = 5*t. Suppose -2*c = r - 0 - t, 3*r = -3. Solve -b**c - 5*b**2 + 14*b**2 - 4 - 20*b - 8 = 0 for b.\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 11:18 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 28 + 12 + 108*f in the form w + o*f and give o.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 8580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 311 (c) -1\/5 (d) -4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*i + 105*i + 50 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -159*q + 174*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (84\/(-35))\/(-1*(-5)\/(-1525)). Calculate the highest common factor of 36 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*d - 20, 3*d + 0*d = 3*i - 12. Suppose 0 = -2*p - 4*f + 124, -3*p + 3*f - 13 = -244. Suppose g + p = i*g. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2502?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 35, -1\/3, 0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/20 (b) 5 (c) 2 (d) -9.2 (e) 2\/325 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -25174544 and -25174544 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30280300 rounded to the nearest one million?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(15)\/sqrt(5)))\/sqrt(9).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 - -89.91. Sort -17, 5\/6, l, 0.5, -4 in descending order.\nAnswer: 5\/6, 0.5, l, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10))**27 assuming t is positive.\nAnswer: t**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + sqrt(1300) + 1 + -2 + ((sqrt(1300) + -1 - sqrt(1300))**2 - sqrt(1300))) + ((-2*sqrt(104))\/((-1*sqrt(4))\/sqrt(2)))**2.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -15, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and 147.3.\nAnswer: -4271.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/9 - (-4)\/3. Calculate the greatest common divisor of 4 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 543 + 767 + 2*o - o**3 - 2*o.\nAnswer: -o**3 + 1310","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, -309, -1318, -3343, -6720, -11785?\nAnswer: -18874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*r - 6*c + 10*c, -3*r + 4 = c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58524 is divided by 912.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3943*y**3 - 2*y**2 - 8*y - 4. Let a be r(-2). Let z = a - -13721. Suppose 4*q - 42731 - z = 0. Round q to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 274001 and 274005 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 157*b**6 - 47*b**4 - 16144*b**2?\nAnswer: 18840*b**3 - 1128*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**(-11))\/y)\/y)\/(y*(y\/((((y*y*y*y**(3\/5)*y*y)\/y*y*y)\/y)\/y))\/y))**(-25\/3) assuming y is positive.\nAnswer: y**(-340\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-252)\/(-16) - 3\/(-12). Suppose 11*d + 1025185 = y*d. Suppose 2*l - 6605037 = -d. Round l to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-28)\/3)\/((-2)\/6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 12, c: 6}. What is prob of picking 1 c and 1 a?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -89*z**3 + 976 - 971 + 3*z + 0*z - 20*z**3. Is r(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 1209*w - 4921. Let o be b(4). Are -58 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 327274, 1309060, 2945360, 5236174, 8181502, 11781344, 16035700?\nAnswer: 20944570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*t = 337 - 72 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9216 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)\/(v**(-5)\/v))**16*v**(-5)*v\/(v*v*(v**(-1)*v)\/v*v*v*v)*v**(-2\/3)\/(v*v\/(v**6\/v)) assuming v is positive.\nAnswer: v**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**2 - 2020*l - 204020 = 0.\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444412 is divided by 232?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -10656?\nAnswer: -10664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/78)\/(14\/3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -117?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48563788 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/30)\/(4*3\/(-30))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26791227*r**3*v - 12222326*v wrt r?\nAnswer: 80373681*r**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2839, -1198, 623, 2714, 5165, 8066, 11507?\nAnswer: 15578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 18*b**2 + 9*b - 5. Let q be (-5 + 4)*2*4*20\/32. Let c(o) = 9*o**2 + 5*o - 3. What is q*c(y) + 3*u(y)?\nAnswer: 9*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**2 - 4. Let m be g(-2). Solve -3*d + 10 = 2*k, -m + 4 = -3*d - 4*k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1527326222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3 - 1. Let l = -12 + 8. Let k = l - -3.7. Which is the closest to 0? (a) m (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 9*s**2 + 1. Let u(k) = k**2 - 11*k - 21. Let q be u(12). Let d be (-34)\/153 + (-83)\/q. Calculate r(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**5 - 4698941*u**4 - 8927092*u wrt u?\nAnswer: 40*u**3 - 56387292*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.24 less than -183698570?\nAnswer: -183698568.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y**3 - 71*y**2 + 10*y + 3. What is v(-12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 17*z - 1\/2*z**2 - 1 + 0*z**4 + 1\/6*z**3 + 1\/20*z**5. Let s(w) = 6*w**3 - 4*w**2 + 4*w - 3. Determine 4*g(c) - s(c).\nAnswer: -2*c**3 + 4*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5233 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1833899.\nAnswer: 19, 263, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 384 - 113. Let i = v + -307. Is i a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 95*p**3 - 137*p. Let k(f) = -31*f**3 + 46*f. Let i(w) = 11*k(w) + 4*s(w). What is the second derivative of i(q) wrt q?\nAnswer: 234*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 40 = 11*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -1)\/(-1 - -2) - 116. Let h = 287 - x. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 26. Which is greater: c or 31?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 + (-9 - -15) + 2872 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 - 1.5. Suppose z - 3*p + 5 = 41, -3*p - 9 = 0. Let f be 6\/z + (-102)\/(-27). Which is the smallest value? (a) -1 (b) l (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + -4 + (sqrt(5) - sqrt(125)) + ((sqrt(125) + -2 + sqrt(125))**2 - (-2 + sqrt(245))**2)).\nAnswer: -48*sqrt(5) + 741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-314728)\/44*(-1)\/2. Let d = -3573 + n. Find the common denominator of d and -55\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5483 - 2342. Let v = o - -2017. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 4*h - 6. Calculate q(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**6\/3 + 16*f**5\/25 + 2*f**4\/5 - 4*f**3\/3 + f**2\/5 + 4*f\/5 + 3. Suppose h(v) = 0. Calculate v.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3169916411?\nAnswer: 101, 191, 164321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.109? (a) -2\/7 (b) -2\/9 (c) -0.047 (d) 0.5 (e) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 186163973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 52 - 89)*(-7*i - 1 + 3*i + 3*i).\nAnswer: 69*i + 69","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 90*p + 385 = 0, y + 2*p = -3149 + 3162 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.891 times -158?\nAnswer: 614.778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -15320, 5, 12 in ascending order.\nAnswer: -15320, -26, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51950217.\nAnswer: 3, 11, 1574249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72\/(-21)*(7 + -630)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*g + 2*g + 4*o, -2*g + 2*o + 10 = 0. What is the nearest to g in 0.3, -2\/15, 5, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73241*s**2 - 482905?\nAnswer: 146482*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8280)\/(-104880))\/(2\/(-8))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = -s. Let x = 4 - 6. Let t be s\/15 + x\/(-5). Which is bigger: t or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 10:06 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1*(-2 + (-154)\/(-55)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/3997?\nAnswer: 3\/3997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1)*w*w*w**6*((w*w**(7\/3)\/w)\/w)\/w*w**(-1\/40)\/w assuming w is positive.\nAnswer: w**(757\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22267 - -0.0681.\nAnswer: -22266.9319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -188*c**3*x**2 - 182*c**3 - 31*c**2*x**4 + 3*c**2 wrt x.\nAnswer: -376*c**3*x - 124*c**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 1. Let s(g) = -10*g - 9. Let y(a) = 2*s(a) - 18*z(a). Let w(i) = 22*i. Give w(y(h)).\nAnswer: -44*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 + 101*o**2 + 54*o - 159. Give d(51).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55 - 5) + (16 - (9 - -5) - 7).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 2. Let p(k) = 53*k - 38. Let l(h) = 22*b(h) - 2*p(h). Does 71 divide l(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -38. Is -5*10\/(-25)*(r + 16) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**7\/49 + 43*j**6\/210 - 11*j**5\/28 - 22*j**4\/21 + 8*j**3\/21 + 3*j. Let x(d) = 0. Calculate d.\nAnswer: -1, 0, 1\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 48 - 12 = 4*h, -26*h + 66 = 2*i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 450002*-1 - (2 - 4). Let i be (h\/21)\/(2\/420). Round i to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c - 25. Let g be d(-10). Solve 5*j + g + 0 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6486.\nAnswer: 2, 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/36 and 3\/1448.\nAnswer: 13032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5203 is divided by 473.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*z + 16 = -z, -4*n - 4*z + 56 = 0. Let g = -23 + n. What is the units digit of (-22)\/(5\/(g\/4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274320744.3 rounded to the nearest one million?\nAnswer: 274000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.123, 0.5, 4, -15.8, 5, -2 in ascending order.\nAnswer: -15.8, -2, 0.123, 0.5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + -33 + -4 + 5 + -1 + 6.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/24 - 102\/(-18). Let c be r*(36\/10)\/9. Solve -2*d = c*o + 6, -14 = 5*o + 4*d + 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3539*r. Let u(q) be the second derivative of q**4\/6 + 1399*q + 4. Give u(m(k)).\nAnswer: 25049042*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 - 20 = 5*r. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.7066995 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -97, -193, -289, -385, -481?\n\"Answer: -96*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 3 + 7 + 4 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p + 24. Let j be (2\/(-3))\/(p\/2547). Let f = -20 - j. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22421844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -14*g**3 + 8. Let z(n) = -1. What is q(u) + 8*z(u)?\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5\/7 - 2385*s**4\/7 + 242307*s**3\/7 + 1634053865*s**2\/7 - 4904278044*s\/7 = 0.\nAnswer: -692, 0, 3, 1537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3033295 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, j: 8, t: 2, i: 2}. What is prob of picking 2 t and 2 m?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804382 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320717, 320766, 320815, 320864?\nAnswer: 320913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g**3 - 2*g**2 + 2*g. Let k be v(2). Let s be (-21)\/k - 5\/20. Sort s, -1.2, -2\/3 in increasing order.\nAnswer: -1.2, -2\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47650 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1969 - -148)*(-1)\/(-1). Are y and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 - -39.1. Let b = -0.0941293 - 39.9057187. Let f = p + b. What is f rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(sqrt(539) + -1*sqrt(539)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 2*y**3\/3 - 1. Let i(m) be the third derivative of m**5\/20 - 13*m**2. Calculate i(f(r)).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 998 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*q - 2 + 2)*(0 - 1 - 2) as w*q + a and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, d: 2, x: 1, n: 4, s: 6}. Give prob of picking 2 d.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**2 - 4*s + 16. Let k(p) = -5*p**2 - 4*p + 17. Let t(c) = -3*k(c) + 4*m(c). What is t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -0.019 (c) -133 (d) -7 (e) -5 (f) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101001001 + -1011100100100?\nAnswer: 100000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 31. Let s(t) be the second derivative of 2\/3*t**a + 0 - 2*t + 5\/3*t**3 + t**2. Factor s(q).\nAnswer: 2*(q + 1)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -1\/11, 4, 0.4, 2\/11 in increasing order.\nAnswer: -1\/11, 2\/11, 0.4, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14083895776.99999909 - 14083895670. Let r = v - 107. Round r to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f**2 + 2*f + 4*f**2 - f + 3 + 4*f. Let c be 40\/2*(1 - (-21)\/(-28)). What is d(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-7)\/4)*(-5)\/((-10)\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*k**4 + 1 - 2*k**2 - 10*k**4 - 68*k**4 to d + t*k + f*k**2 + z*k**3 + l*k**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -0.9337892.\nAnswer: -4.9337892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 - 453423*l - 51729210 = 0. What is l?\nAnswer: -114, 151255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-917096)\/142308)\/(1*(-6)\/(-27))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 29*j = 0. Suppose -2*x = -3*f - 14321, j = 4*x - f + 3*f - 28666. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001432 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377*i + 2614 = -5303. Sort -2, 2, i, 4, -3.\nAnswer: -3, -2, 2, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8949*-82\nAnswer: -733818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 83629?\nAnswer: -83629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 9\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -9707586?\nAnswer: 48537930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37337155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, -3, -10, -1 in descending order.\nAnswer: 3, -1, -3, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18392516 is divided by 8106.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (41\/((-6888)\/(-48)))\/(12*4\/(-42))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15 - (-2)\/(4\/(-2)). Let o = 73 + -59. What is the highest common factor of j and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -204, 40, 257, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 37 - 23 = 0. Let r = 118 - n. List the prime factors of r.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 8. Let x = -5 - -7. Suppose x*z + 7 = 5*o, 4*z - z = -o + 15. Solve 2*v - d = -2, -1 = u*v - 2*d + z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 14, 37, -3, -0.04, -0.26, 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 + -80. Suppose 3*n = -4*i + 23, -2*i = -a*n + 4*n - 16. Let y be (4\/(-2) - 0) + 17. Solve 4*p - n*p = y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 792787573.79.\nAnswer: 792787570.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4\/28978819?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 3465 - 121 = 0. What is the remainder when 292 is divided by y?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -910383 + 122904589\/135. Let i = -709969\/135 - -5259. Let w = y + i. What is the common denominator of w and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 + 99. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16400 > 16400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18*((-170)\/45 + 4). Suppose u*l - 21 = 27. Solve 3*a - 6*a - l = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -1\/3, 2\/5, 3.\nAnswer: -1\/3, -0.02, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.05, -2, -1, -56, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 - q**4 + 3*q**2)*((2*q - 2*q + q)*(2 - 2 + 2) + 2*q + 3*q - 4*q + 79 + 48*q - 79).\nAnswer: -51*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 + 3)*9\/(-15). Find the second derivative of -16*t + 6*t**z - 17*t + 32*t wrt t.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 3\/73?\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 252789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-2)\/(-88)*40\/(-15). Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -4*j + 13*j. Let l = j + -10. Solve -2*k + 2*g = 10 - 2, -5*k - 17 = -l*g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**4\/c**(-3\/7)*(c**(-1\/4))**4 assuming c is positive.\nAnswer: c**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + 27*l - 4. Let o be z(-21). Suppose -211 = 4*x - o. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310\/155*6\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = q + 7. Suppose q - 9 = 5*n. Calculate the highest common divisor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34 - 8 + 57 + 93)*(-8*o - 2 + 2)*(-o + 4*o - 2*o) as d*o + y + r*o**2 and give r.\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17826540 and 25.\nAnswer: -445663500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 4. Let g be ((-132)\/32)\/((-27)\/(-804)). Let t = g + 123. What is the closest to 1 in w, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 8 = q - 2*q, 3*q - 18 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-6)*((b\/(b\/(b\/(b**3*b))))\/b)\/b*b)\/((b**(-1)\/b)\/(b\/b**(2\/5))))\/(((b\/b**0)\/b)**(-18)\/(b\/b**1)**37) assuming b is positive.\nAnswer: b**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1080 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -110010000 (base 2) to base 14\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30140.\nAnswer: 2, 5, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1 - ((8 - 8) + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*l**2*r*x**2 - 133*l*r*x**2 - 2*r*x**2 + 129*x**2 wrt l.\nAnswer: -6*l*r*x**2 - 133*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*4\/(-32)*-20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 51*b + 12. Let a be s(-7). Let z = a - 418. Solve 4*u - 1 - 7 = z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from {b: 4, l: 4, p: 3, a: 7}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/37, 1, 0.3, -2\/19, 1.6 in ascending order.\nAnswer: -2\/19, 7\/37, 0.3, 1, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10330 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 232 = -21*c - 47*c. Let g(l) be the third derivative of 17\/9*l**c - 49\/360*l**6 + 0*l + 10\/9*l**3 + 217\/180*l**5 + 10*l**2 + 0. Factor g(b).\nAnswer: -(b - 5)*(7*b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*k - 56*k + 3*i = -40, 3*i = -4*k - 52 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3*((-126)\/(-60))\/(-7))\/(-3)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 15900?\nAnswer: -159000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7 + 10*i**3 - 2 - 11*i**3 - 15*i**2 + 8*i. Is z(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n - 6*n + 4*n - 19*n.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89043.\nAnswer: 3, 67, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1271)\/1353 + (-12)\/198\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/12 and 99\/18086.\nAnswer: 108516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16548354 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-46)\/(-10) + (-4)\/(-10). Let z = 2 - x. Are z and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -303450*p. Let o(v) = 2*v. What is a(o(h))?\nAnswer: -606900*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -2765299?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -141*g + 139*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 589897 = 589303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -45.15 * -93\nAnswer: 4198.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 28 = -6*x. Suppose x*p = 2*v + 94, 4*p + 3*v - v = 98. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -17. What is the nearest to -0.1 in 3, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = -19*c + 32. Let n(b) = b**2 + 7*b + 3. Let r be n(-7). Sort 1, c, r in ascending order.\nAnswer: c, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 11*l**2 + 2*l - 1. What is n(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*d - 10 + 10 in the form o + w*d and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**5\/v*v)\/v)**(-17))**(2\/9)\/(v**(-6\/13)*v*v**(1\/4)*v)**24 assuming v is positive.\nAnswer: v**(-6790\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - ((21 - -2) + -25 - (-12 - 0))) + 119?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 25) + (-7207 - -7256)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**4 - 930*d**3 - 10004*d**2 - 7224*d + 18160 = 0.\nAnswer: -454, -10, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2810*l**3 + 7*l**2 + 2*l - 2. Let s be r(-5). Let c be 4200607*1\/(-7) - 1344\/4704. Let b = s - c. What is b rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 13 - (14 - (9 + -3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -384? (a) 8 (b) -2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*u + 5. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18089834299 to 4 dps.\nAnswer: -0.1809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 59 = 73 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 4*x - 575. What is the remainder when x is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 109\/10525156?\nAnswer: 109\/10525156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - (20 + -27) - -7\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 6. Let k be 1\/d - (-36)\/5. Calculate the lowest common multiple of 6 and (k\/21)\/(2\/60).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**2 - 4*q - 3. What is the units digit of n(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46 - -abbb1?\nAnswer: abb69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*n**2*r**2 + 2*g*n**2*r + 2*g*n*r**2 - g*r + 3*g + 35*n**2*r - 31*r**2 wrt r?\nAnswer: 2*g*n**2 + 4*g*n - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 0.1. Let y = x - -2. What is y rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1743660 is divided by 456.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -61. Sort 0, -1\/6, y, -2.\nAnswer: -2, -1\/6, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 21*x**2 - 39*x + 25. What is y(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 4, 0.2, -5, -0.118078?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -6. Suppose 2*o - 2*c = -o + 7, -w*o + 5*c = 0. Solve h + o*v + 1 = -1, -2*h - 5*v = 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/15)\/(90112\/(-4092) - -22)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582541 is divided by 4535?\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 4*i**2 - 305*i - 2432. Give x(-7).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 90, 76, 6?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.95412 rounded to 1 dp?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27548 + 14681 = 11*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635858369?\nAnswer: 635858369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 < -175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lttitlt. Give prob of sequence lt.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zffz when four letters picked without replacement from {z: 2, f: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4907 is divided by 408?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4005 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*s + 20477 + 25279. What is the remainder when s is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -305*i + 1 + 526*i**2 - 266*i**2 - 258*i**2 to d + t*i + b*i**2 and give t.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 10*o - 11. Calculate the remainder when 17 is divided by v(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -193784 by 1.\nAnswer: -193784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2 - 2 + k + 0. Calculate s(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*q - 2*q = -20, -5*g = -3*q - 52. Is 26 a factor of -5 + 517 + 4 + (g - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.5383419 to three decimal places.\nAnswer: 23.538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02492 - -0.02491877. Round n to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a6 (base 16) in base 15?\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -10*q**2 + 906*q - 8. Let h(u) = 8*u**2 - 907*u + 6. Calculate 4*h(k) + 3*s(k).\nAnswer: 2*k**2 - 910*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409042.\nAnswer: 2, 204521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b**2 - 15*b. Let o(v) = -v**2 + 2*v. Let s(x) = -15*o(x) - 2*q(x). Let z(l) be the third derivative of l**5\/30 + 2*l**2. Calculate s(z(y)).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*s - 66*s + 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 19*i + 128 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 108539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0 + (4 - 6 + 1)*(5 - 1 - 2) + 0 - 4 + 5 - 4 + 1 + 10)*(-375*i - 677*i + 278*i).\nAnswer: -3870*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7\/5)*c**1)\/(c**(-5)*c**(-3)) assuming c is positive.\nAnswer: c**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.36 (b) 5 (c) 633 (d) -0.5 (e) 0.97 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, w: 11, n: 2}. Give prob of picking 3 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*o - 72723 = 0, -4*l - 429*o + 425*o + 96964 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*c**3 + 3 + (2*c**2 + 0 + 0)*(c - 4*c + c) + (-3*c**2 + c**2 - 2*c**2)*(-1 + 3*c + 1).\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.2 (b) 79\/3 (c) 0.2 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3000\/(-30240))\/((-410)\/1476).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -13*1\/11. Let a be (-104)\/(-117)*3\/20 + (-2)\/6. What is the fourth biggest value in 5, a, q, 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209b99 (base 12) to base 4.\nAnswer: 1331231211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at least as big as 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4883, 9769, 14659, 19553, 24451, 29353?\nAnswer: 34259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-34)\/(-5))\/((123\/390)\/41).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/4)\/3 - 0. Let t = 123.046 - 0.546. Let l = 122 - t. What is the nearest to -1 in k, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - ((7 - 2) + -4). What are the prime factors of (l - -75) + (-1 - 0)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*q**3 - q**3 - 2*q**2 - 10*q**3 - 6*q**3.\nAnswer: -36*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.21 + 4.79. Let w = 2.7 - p. Let j = w - -0.87918. What is j rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 409*(3 + -4 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 875 = -131*m - 286 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, u: 2, v: 2}. Give prob of sequence vbv.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-2270723.\nAnswer: 6812169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -146983 - -3.6815?\nAnswer: -146979.3185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((228\/135)\/19)\/((-4)\/18*-3)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/6*l**3 + 143\/3*l**2 + 287\/6*l.\nAnswer: -l*(l - 287)*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.15 - 0.15. What is the smallest value in l, 0.5, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 45069 = -5*t, 2*m + 3*m - 4*t - 75189 = 0. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.017 + -37.983. Which is the smallest value? (a) r (b) 0 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1472 - 1467. Which is the closest to 0? (a) k (b) 1\/6 (c) -2\/13 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4031946286 + -49.\nAnswer: -4031946335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98275*l - 6*l**2 + 98250*l - 196525*l + 47*l**2.\nAnswer: 41*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 284\/(-18) - 2\/9. Let d = v + 21. Calculate the least common multiple of d and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -y + u, u + 790 - 806 = -y. Solve y*h - 10 = 16*h, -3*g + 5*h = -7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 27. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**2 - 30*c - 31. Give d(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - 5 - (-5)\/(-20). Which is the third smallest value? (a) 3\/7 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 15 = -37. Suppose 22*h - z = 33*h. Is 52 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15, -7, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 10:23 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8116773647.00000007 + 8116773600. Let d = 306 + -353. Let b = l - d. Round b to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*b - 179*b**2 + 24*b - 102*b + 44*b.\nAnswer: -179*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2429 and 3?\nAnswer: 7287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -867*g**3 + 445*g**3 - 1008*g**3.\nAnswer: -1430*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/3)*t**6*t)**(-16) assuming t is positive.\nAnswer: t**(-416\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y + 240 = 46*y. Calculate the least common multiple of 12 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6722\/9 - 744. Factor 76\/9*i**3 - 64\/9*i**2 - 4\/9 + 10\/9*i**5 - 44\/9*i**4 + s*i.\nAnswer: 2*(i - 1)**4*(5*i - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -18*m. Let h be n(-1). Suppose 2*b - 40 = h. What are the prime factors of b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 - 2*j + 2097*j**2 + 2107*j**2 + 12 - 4202*j**2 as d + h*j**3 + f*j + q*j**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 0. Let v = 2 - s. Suppose -2*c + 80 = 4*h, -c - 18 + v = -h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*o**3 + 82*o**3 - 143*o**3.\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, u: 8, g: 5}. Give prob of sequence au.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15400 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**8\/1680 - y**7\/120 - y**6\/24 - 3*y**5\/40 - 34*y**3\/3 - y + 44. Let f(m) be the third derivative of o(m). Factor f(i).\nAnswer: -i*(i + 1)*(i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18060642?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 30 = -8. Suppose 5*p - l = -1. Suppose -n - 5*y = -144, p*y = 7*y - 20. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10)*u)**(-2\/95)\/(u**(-1)*u**(-6)*u) assuming u is positive.\nAnswer: u**(588\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by 29.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.61402nm to meters.\nAnswer: 0.00000001461402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5929.63 + 5722. Let q = s + 1.63. Let f = q + 206.00087. Round f to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1001\/5 + 201. What is the second smallest value in 1\/7, 1\/3, l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -218 + 25 + 207 + -152?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**4\/8 - 4*u**3 + 16*u**2. What is the lowest common multiple of 10 and z(12)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -85*u**3 - 3*u**2 + 5*u + 4. Is g(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 1, -4 in increasing order.\nAnswer: -4, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175345?\nAnswer: 5, 35069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 5\/(20\/(-496)). Suppose -z*m = -128*m + 1491. List the prime factors of m.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in 3, -4, 2\/3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4716 by -5121.\nAnswer: 524\/569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Suppose 4*q - 4*m + 37 = -3*m, -2*q - 6 = g*m. Let u = q - -6. Sort -0.5, u, 1 in increasing order.\nAnswer: u, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 3*d + 3*d)*(-15 - 4 + 2)*(-3*d**2 - 2*d**2 + 2*d**2).\nAnswer: 51*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**2 - 2 - n**3 - 3*n + 2 - 5. Let z be v(-4). Let y = 21 + z. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 e when four letters picked without replacement from pjekm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2797110 divided by -6.\nAnswer: 466185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from {y: 11, q: 9}?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**4\/12 + w**3 - 4*w**2. Let i(y) = -2*y + 5. Let m(x) = 6*i(x) - 5*j(x). Let n(t) = 6 + 0 - 6 - 17*t. Calculate n(m(g)).\nAnswer: 34*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**3 + z**2 - z - 1. Let c(b) = b - 13. Let n be 7 + 35\/(-7) + (6 - -3). Let k be c(n). What is j(k)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 0 + 5 - n**2 as i*n**2 + k*n + x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 141\/1269*(-18)\/(-16)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 15*o**2 + 195*o - 1518. Is 242 a factor of i(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/5)\/s)**(2\/17)*(s*s\/(s\/(((s\/s**(2\/7))\/s)\/s))*s*s)**(-17))**(-2\/73))**(-2\/73) assuming s is positive.\nAnswer: s**(-69528\/3170755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18.2, 5, 1\/6, -229, 1.6?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.465 + 0.035. Let x = -0.21 - 1.79. Suppose -n - 3*q + 3 - 4 = 0, -q + 13 = 3*n. What is the nearest to -1\/2 in a, n, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-10)*-14)\/(15*(-16)\/400).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -787290, -787374, -787458, -787542, -787626, -787710?\n\"Answer: -84*x - 787206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeenennbe. What is prob of sequence neen?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 647 + -647. Which is the nearest to -1\/2? (a) 5 (b) 1\/8 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times 3388\nAnswer: -406.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.0118 + 0.1882. What is k rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**2\/2 + 3285*p - 6564 = 0.\nAnswer: 2, 2188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 20959d?\nAnswer: -209599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5*x**(-2\/5)*x)\/((x*x*x**(2\/11)*x)\/(x\/((x\/x**(3\/5))\/x)))*x**(-2)\/((x\/x**(-2\/3))\/x)*((x*x*x**0*x*x)\/x)**42 assuming x is positive.\nAnswer: x**(21013\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 4*v - 96 = 3*z, v + z - 40 = 0. Suppose 0 - v = -4*f. Calculate the remainder when 177 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.6 + 1.4. Suppose -3*p + 15 = 0, 4*p - 16 = 5*b + 4. What is the third biggest value in 1, j, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 37 + 4. Let h be x\/(-44) + 1174\/8. Let m = h + 58. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540*j = 528*j - 345*j + 59976. Determine d, given that -298\/3*d**2 + 34\/3*d**4 + 2\/3*d**5 + 118\/3*d**3 - j*d + 216 = 0.\nAnswer: -9, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -149949385250?\nAnswer: 149949385231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 251, -5, 3, -7, -4, 4 in descending order.\nAnswer: 251, 4, 3, -3, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140214 is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 248\/(-186)*117\/(-52). Factor 5\/2*j + 3 - 1\/2*j**o - j**2.\nAnswer: -(j - 2)*(j + 1)*(j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**3 + 6*c**2 + 5*c - 1. Let d be j(-2). Solve -37 = 3*k - d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*u - 290, -4*d - d + u = -1424. What is the remainder when d is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/2*36\/30?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 766612.2l?\nAnswer: 766612200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = y - 6, -3*y + 3*o = y - 20. Suppose -l - 4*c - 113 = -y*l, -c = 4*l - 520. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 11:20 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3*1)\/(336\/(-784))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 11:45 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -129700, -259423, -389152, -518881, -648604, -778315, -908008, -1037677?\n\"Answer: t**3 - 9*t**2 - 129703*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8393, 16794, 25195, 33596, 41997?\nAnswer: 50398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -409*l - 13304 + 3079 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*p - 25*p - 8*p + 10640. Do p and 5319\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156 + -618. Let t be (x\/8)\/((-9)\/24). What is the common denominator of -95\/6 and t\/48 - (-1)\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*(sqrt(275) - (sqrt(275) + 0)*6 - (0 + sqrt(275) + -2 - sqrt(275))))**2*-5.\nAnswer: -860220 + 16250*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-1 - (-5 - 0)) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 + 388. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*i - 35, 11*i + r + 23 = 6*i. Let o(x) = 7*x**3 - 2*x - 2. Let u(l) = 15*l**3 - 5*l - 5. Calculate i*u(y) + 10*o(y).\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*h - 62*h + 2102 - 6943 = -13*h for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4861)\/(-4))\/(-14 - 684\/(-48)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 8*y**2 + 11*y - 13. Let z be k(9). Suppose -z*f = 4*w - 22, 2*w = -2*f - 0*w + 8. Let p be (f + -9)*8\/(-138). Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 43*f + 184. Let x be q(40). Let t be ((-86)\/(-10) + -1)*5. What is the greatest common factor of x and t?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*v + 973 = -72*v. Let x = 274 - v. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.71538 nanograms in tonnes?\nAnswer: 0.00000000000000071538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.2054.\nAnswer: -1.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 plus -10006.78?\nAnswer: -10081.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -14. Let w = -20 + 28. Let m = w - t. Is m < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 11*m + 7. Let n be t(12). Is 19 a factor of (-177)\/(-3) - (-10)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 2 + 0*o**3 + 0*o**2 - 1\/4*o**4 + 4*o. Differentiate w(l) wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1. Let l(c) = -1. Let m(f) = -5*d(f) - 4*l(f). Suppose u = -u. Let k(j) = u*j + j + j + 4. Determine k(p) + 4*m(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -11. Let p(q) = -9*q**x + 8*q**3 + 3 + 3*q**2 + 3*q + 4*q**2. Let d be p(7). Solve -l = -0*l - 5, 0 = 3*u + 3*l - d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 18481776?\nAnswer: 129372432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/18 + (-4)\/(-18))\/((-420)\/5985)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - -16 - -10 - (-1 - -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfwwwcbbcwwwwwcc. Give prob of sequence cwc.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 a factor of 211747958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 25*m**3 + 40*m**2 + 5*m - 6. Let x(z) = 99*z**3 + 159*z**2 + 21*z - 24. Let v(y) = 15*j(y) - 4*x(y). Let v(b) = 0. Calculate b.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 6*s**2 - 2*s + 8. Calculate the remainder when 1*167 + (-11 - -4 - -10) is divided by n(7).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6560, -13604, -20644, -27680?\n\"Answer: 2*l**2 - 7050*l + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 2 + -3)*-3*(-49)\/(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1175, -2358, -3565, -4814, -6123, -7510, -8993?\n\"Answer: -3*p**3 + 6*p**2 - 1180*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1001*j**3 + 2 + j**2 - 999*j**3 + 3*j**4 + 0*j**2 as r*j**4 + a*j**3 + v*j + t + x*j**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - y. Let z be -4 + (-12)\/(-24)*(-1 - 1). Let d(k) = -2*k**2 - 3*k. What is z*s(h) + d(h)?\nAnswer: 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -127 - 22. Suppose 226 + f = 15*d. Solve -28*w + d*w = -15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 534743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 plus -34564887?\nAnswer: -34565042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 51*q**2 - 36*q + 7. What is the tens digit of o(-49)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = -5*d + 5*y + 108, -4*d = y - 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030595312 rounded to seven dps?\nAnswer: 0.000306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3165291 to the power of 1\/2, to the nearest integer?\nAnswer: 1779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, -78, -0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40 + (-19 - (-832)\/26). Let f(l) = -l**2 + 45*l + 425. Determine f(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + -23. Let g be (-13868)\/273 + (-20)\/t. Let w = 726\/13 + g. Find the common denominator of -29\/3 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -522896197*w**4 - 390816342?\nAnswer: -2091584788*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11*g**2. Let c(z) = 393*z**2 - 820*z**2 - 1 + 408*z**2 + 1. Determine c(j(l)).\nAnswer: -2299*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, l: 2, f: 8}. Give prob of sequence fll.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5502 and 305695705?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - c - 2. Let x be (-77)\/(-22)*4\/7. Calculate p(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20349 to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 - 6*s - 7. Let p(q) = q**2 - q. Let l(f) = i(f) - 6*p(f). Differentiate l(b) wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2743 - -2846.85. Round v to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -14. Let w be 3 - 0*(-3)\/k. Solve -2*c - s = -9, -w*c = -4*c - 2*s + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2 = -10. Let u be 1550\/(-930) - (1 + -2 + 0). What is the second biggest value in u, j, 2.5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011498 rounded to 5 decimal places?\nAnswer: -0.00115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 12*g**2. Let j(p) = -10*p**2 + 12*p - 5. Let f(b) = 30*b**2 - 42*b + 17. Let x(h) = -4*f(h) - 14*j(h). Give x(c(d)).\nAnswer: 2880*d**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1.2. Let m be ((-29971)\/2255 - -13) + (-1)\/(-5). Let x = 28.2 + -28. Which is the closest to f? (a) x (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h - 10*h - 18*h)*(6 - 4 + 0).\nAnswer: -42*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6976, -13943, -20902, -27853, -34796, -41731?\nAnswer: -48658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120211120022102121 + 0?\nAnswer: 120211120022102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11.8 * 188\nAnswer: 2218.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 28816?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**6\/320 + 11*b**5\/160 - 35*b**4\/64 + 25*b**3\/16 - 5*b**2\/2 - b. Let j(n) be the first derivative of x(n). Factor j(c).\nAnswer: -3*(c - 5)**2*(c - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + 12. What is the remainder when r is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(1*sqrt(5)*1) - sqrt(18)\/(sqrt(9) + sqrt(54)\/(1*sqrt(6))))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**4\/24 + b**3\/6 - b**2\/2 + b. Let m(a) be the first derivative of f(a). Let x be m(-5). Solve 0*i - x = -2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 1.29196?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (1 + -5)) + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86669891 and 1252053.\nAnswer: 780029019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u + 56. Let w be y(-17). What is the greatest common divisor of 15 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1273712206 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293, -295, -297, -299?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 63, 95, 135, 189?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Suppose a*u = u - 5. Solve -q = -u*b + 17, -q + 10 = 4*b - 0*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28669 times 64.7\nAnswer: -1854884.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h*h*h**(-2\/27)))\/h)\/h**6)\/(h**(-1))**(-1\/5)*(h*h**(2\/5)*(h\/h**7)\/h)**(-2\/43) assuming h is positive.\nAnswer: h**(-51464\/5805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 147513860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -47*i**3 + 2*i - 2. Give j(1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**4 + t - 1. Let r(w) = -10*w**4 - 1965*w**3 + 5030*w**2 - 9*w + 9. Let g(v) = -9*n(v) - r(v). What is the third derivative of g(b) wrt b?\nAnswer: 24*b + 11790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 140*g - 137*g - 1266, 0 = 3*g + 24. Calculate the lowest common multiple of f and 16.\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 8*c**5\/5 + 83*c**3\/6 - 71*c**2\/2 + 32. Let d(f) be the second derivative of t(f). Differentiate d(o) wrt o.\nAnswer: 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**4 + 0*w**4 + 5*w**4 + (-6*w**4 - 2*w**4 + 3*w**4)*(2 + 5 - 5))*(-1 + 0 + 3).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7638 and 117786.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1868 divided by -4.\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y\/y**(-12))\/y)\/y)\/y*y\/(y\/y**17))\/(y**(-3\/5)\/y**4) assuming y is positive.\nAnswer: y**(163\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5 - 1. Suppose -4*k - 4 = -3*b, -k = 4*b + k + m. Let p(x) = -x + 2. Let v be p(b). Solve -g - v = 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15857*(3\/6*-2)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 2*j**2 - 5*j + 2. Let o = 13 + -13. Suppose r + 3*r = 4*z + 28, 5*r + 4*z + 1 = 0. Let m = r + o. What is i(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/5*(-4)\/(-6). Suppose -93*h + 89*h = q. Let y be -1 + 100\/15 - h\/6. Calculate the highest common factor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-35)*(-18)\/9\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + b + 74 = 0, b = -r + 1237 - 1263 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -338, -554, -912, -1406, -2030?\nAnswer: -2778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*g + 44 = 4*p, 0 = -2*p - 2*g + 28. Suppose 5*v + 2 = p. Factor 32 + 13*i + 2*i**4 + 8*i + 48*i**v + 16*i**3 + 43*i.\nAnswer: 2*(i + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 811 + -806. Solve -q = d*z + 3 + 6, q = 4*z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.070223012563 + 5.\nAnswer: 5.070223012563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-32*(-78)\/6656.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*l = 0, -2*w - 3*l = -2*l - 6. Let i = -5 - -8. Suppose v = i*v + 2, -w*q + 56 = -4*v. What is the highest common divisor of 39 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 89198.2 millilitres?\nAnswer: 89.1982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*q + 23, 0 = -3*g + 2*q - 10 - 7. Let t = g - -8. Solve 3*o = v - 0*v - 7, 0 = -5*v - t*o - 25 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1657079735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-52)\/(-299)) - -5\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oswwwssoesssoebswos. What is prob of picking 1 s and 1 w?\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334 (base 8) to base 16.\nAnswer: dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 65, 4, -2, 2512, -4 in decreasing order.\nAnswer: 2512, 65, 4, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*y + 3*y - 10, -6 = -2*y. Let v = 4.6 - 8.4. Let p = v - -4. What is the third biggest value in p, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -17.003. Let y = 0.003 + d. What is the nearest to y in -19, 3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -14)*33\/308?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 1:14 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from mmmshmssmhs?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.5 - 22. Sort -3, -4\/5, j in decreasing order.\nAnswer: j, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2. Let i be (-30)\/70 - 108\/(-7). Let g = 52 - 37. Let y(d) = -i - d + g. What is y(q(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*p**5*q - 5*p**4 - 4*p**3*q - 4*p**2*q + 27*p**2 - q wrt p.\nAnswer: 1620*p**2*q - 120*p - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -847025.\nAnswer: 4\/847025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9763180)\/15*180\/(-240) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 163*q - 504. Calculate w(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -57*h - 1. What is y(1)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -271*d**2 + 1780*d + 824. What is w(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 413\/3086722 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1668 is divided by 150?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 7*x**5\/60 - x**4\/12 - 4*x**2 + 2*x. Let p(v) be the first derivative of i(v). What is the second derivative of p(d) wrt d?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235, 462, 675, 868, 1035?\nAnswer: 1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -0.3, -0.5, 6, -2\/31?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*h + 106, 4*h - 82 = 4*b + 166. Calculate the remainder when 168 is divided by h.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3475 + 3479. Let w(v) = v**3 - 3*v**2 + 2*v - 2. Let k be w(2). Which is the nearest to -1? (a) -5 (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 42*n - 213. Let k be y(4). Which is smaller: -0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-1 + -2 - (4 + -11)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (19 + 24 + -26 + 68)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 1 + 34 - z**2 - 13*z**2 wrt z.\nAnswer: -28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 477929*a**5 + 430581*a**2 wrt a?\nAnswer: 28675740*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*q + 5*q - 580 = 0 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-412)\/(-34) + 30\/(-255). Suppose -15 + 39 = p*l. Put l, 9, -4 in descending order.\nAnswer: 9, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q - 17353 = -3404. List the prime factors of q.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 265981937\/1042 - 255261. What is the common denominator of q and -46\/5?\nAnswer: 5210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*r - 100498 + 101398 = 0 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11449412 to the nearest integer?\nAnswer: 3384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/3996 and -155\/84.\nAnswer: 27972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -2152541514?\nAnswer: 2152541516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -92584 - 473586?\nAnswer: -566170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + v + 4. Let i be d(0). Let q(r) = 35*r + 5. Let b be q(4). Suppose -w - i*w = b. What is w rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 394.9323 - -0.0677. Let l = q - 392. Let r = -0.03 - 0.37. What is the nearest to -0.1 in r, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4003*i**2 - 4012*i**2 + 941 - 941.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**4\/12 - 43*f**2 + f. Let h(t) = 6*t**2 + 6. What is r(h(x))?\nAnswer: 12*x**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 46 = -5*z. Find the third derivative of -619*n + 619*n + 5*n**6 + z*n**2 wrt n.\nAnswer: 600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.00153, -1\/3, -1\/4 in increasing order.\nAnswer: -1\/3, -1\/4, -0.00153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 0 + 0*n**3 + 1\/8*n**4 - 4*n**2 + 0*n. Let f(c) = c. Calculate a(f(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 125118 divided by 582\nAnswer: 20853\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**5\/35 - 5*o**4\/21 + 4*o**3\/3 - 28*o + 18. Factor a(x).\nAnswer: -4*x*(x - 2)*(x + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9841 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -239 - -757. Calculate the highest common factor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 72514 = -2*l, -222*h = -220*h - 8. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -3 - -17) + -29 + -2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b - 7. Let o = 9 + -5. Suppose j + 0*j = -o. Let r(f) = 3*f. Let y(p) = p - 1. Let i(h) = -r(h) + 6*y(h). Determine j*u(x) + 5*i(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 54\/3 - (-17)\/((-289)\/153)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19812 - 6604 - 302*j - 6604 - 6606.\nAnswer: -302*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 252400 to the nearest one thousand.\nAnswer: 252000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2966 - 0.1034. What is the nearest to g in -1, -1\/2, 4, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -82*i**2 - 18\/5*i**4 - 32\/5 - 192\/5*i**3 - 212\/5*i = 0. Calculate i.\nAnswer: -8, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 3\/28*r**8 + 2*r + 0*r**3 - 5\/12*r**4 + 0*r**7 + 0*r**5 + 0 + 0*r**2 + 0*r**6. What is the third derivative of a(z) wrt z?\nAnswer: 720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 10043158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*g**5\/8 + 3*g**4\/4 - 231*g**3\/8 - 30*g**2 - 9*g\/2 = 0. What is g?\nAnswer: -2, -1, -2\/11, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-143))\/((-5320)\/770).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-14))\/((-2)\/12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 + 5*r**2 + 108 + 206 + 324.\nAnswer: -r**2 + 638","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -600*o**2 + 30*o - 31. What is r(1)?\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 7*q - 27. Let r = q + -14. Let a = 36 - r. What is the remainder when a is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b + 1. Let y be s(1). Let z(j) = -70*j**3 - 2*j**2 + j. Let v be z(1). Let h = v + 74. Solve -4*r + y*r = -3*m + 9, -3 = h*r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 5*y + 1. Let q be g(-6). Let j = -0.18 - 0.12. Let t = 17 - 52\/3. Which is the third smallest value? (a) q (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 19 = -4*h - n, 35 = 5*h + n. Let b(c) = -h*c + 1 - c + 17*c. What is b(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frffrrrfffrrfrrr. Give prob of picking 2 f.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 895 = -j - 1226, -j + 3*r = -113 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17a3b (base 12) to base 14\nAnswer: c715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99\/203 + 10\/29. Which is the smallest value? (a) -0.5 (b) z (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*i**3 - 47220*i**2 + 2485*i = 0.\nAnswer: 0, 1\/19, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 divided by -553?\nAnswer: -272\/553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - -0.07. Let k = 0.3 + -0.33. Let p = k - x. Which is the smallest value? (a) p (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-12)*l**(-12))\/(l**(1\/3)*l)**26 assuming l is positive.\nAnswer: l**(-176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j + 133. Let k be c(-14). Solve k + 1 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 - 11*z + 4*z - 1 + 0*z - z. Let o be d(-6). Suppose -6*b + 7 + 365 = 0. Calculate the greatest common factor of o and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10 = t, 7*g - 2*g + 5*t = 20. Suppose s - 2*s + g = 0. Find the third derivative of 0*u**2 + 0*u**2 + s*u**2 + u**5 - 6*u**5 wrt u.\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -13, -16, -7, 20, 71?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuqenuyttte.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3376066?\nAnswer: 2, 337, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - (19 + 2)) + (0 - -37 - (30 + -33)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.07, -162, -4\/5, -0.3, 6\/11?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*y = 144*y - 232 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4\/5 + 7629*s**3 + 121196181*s**2\/5 - 363931929*s\/5.\nAnswer: 3*s*(s - 3)*(s + 6359)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 196 = -2*z - 507 + 283, 4*i - 50 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(2\/11))\/s)**3)**(-1\/2))**(-1\/60) assuming s is positive.\nAnswer: s**(1\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.17 - -181.17. Let k = 179.9966 - z. Round k to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**3\/3 + 12*x**2 - 2*x\/3 - 12 = 0.\nAnswer: -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*n + 1603 - 22 + 34*n.\nAnswer: n + 1581","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 775336.3 centimeters?\nAnswer: 7753363000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 449*d**4 + 9*d**2 - 1?\nAnswer: 10776*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-28)\/(-3 - 4))\/(1 - -1). Let o(l) = l**m - 5 - 44*l - 46*l - 40*l + 126*l. Determine o(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -302a109?\nAnswer: 302a106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(24) - sqrt(96)*-4)\/(sqrt(288)*-2).\nAnswer: -15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 11:51 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v = -14. Suppose 5*u - 685 = 10*u + 5*o, 119 = -u + 5*o. Let q = u + 136. Solve 2*a + 4 = 3*f, -v*f = -2*f + q*a + 20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13903889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)*m**(-3)*(m**2*m*m*m)**14)\/(m**6\/m**4)**(-8\/5) assuming m is positive.\nAnswer: m**(341\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u - 5*u + 32. Let z(y) = 2 - 1291*y**u + 1292*y**2 + 11*y + 8. What is z(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1278.\nAnswer: -1278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -29719, -5, 2, 1 in decreasing order.\nAnswer: 2, 1, -5, -29719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - (4 - -50) - (0 - 51)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*c + c**4 - 34*c - 3*c**4 wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5478393?\nAnswer: 3, 23, 79397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -4. Let m(w) = 2*w**3 - 4*w**2 - 3*w - 10. Let i(t) = -3*t**3 + 9*t**2 + 5*t + 19. Let o(v) = 3*i(v) + 5*m(v). Is 5 a factor of o(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37393*m**3 + 3*m + 75752*m**3 - 38356*m**3.\nAnswer: 3*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 6. Let r = 13 + -14. Let d(f) = -1. Let z(a) = r*d(a) - c(a). Let l be z(12). Calculate the highest common divisor of 14 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 6641239\nAnswer: -26564956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -196830011348.\nAnswer: -196830011347.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.7 and -3.9.\nAnswer: 6.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2382 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w + 1. Let p(a) = -2*a. Let h = 5 - 2. Suppose 3*x - 2*j = 15, -2*x - 15 = -5*x + h*j. Calculate x*p(i) - 2*n(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1662 times -715\nAnswer: -1188330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 4*u = -4*v - 24, 2*u = -3*v + 30. Let c = -34 + 106. Calculate the highest common divisor of c and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2 + 7403*j + 178248 = 0. What is j?\nAnswer: -24, 7427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x - 2095*x + 601*x = 2632*x - 501600 for x.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100294, -200862, -301430, -401998, -502566, -603134?\nAnswer: -703702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6212390434.\nAnswer: 2, 3106195217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 40*q - 23. What is the tens digit of w(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 16 = -5*m, -2*o = m - 674. Suppose 14*h - 423 = -o. Let g(k) = -k - 1. Let j be g(-1). Which is the closest to j? (a) 2\/11 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5997, -6023, -6069, -6135, -6221?\nAnswer: -6327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + sqrt(891) + -1 + -1.\nAnswer: -2 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/((i**(-6)*i)\/i)*i)\/i)\/i)\/i*i*i**(-2))\/(i\/(i**(3\/2)\/i*i))**(2\/7) assuming i is positive.\nAnswer: i**(29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 5675*g - 320909. Determine s(56).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 178.646 in 48, 0, -2\/7?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*u - 2)*(8*u - 11*u + 7*u - 3) as i*u + t + v*u**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -546*f + 4918. Calculate k(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 546468 and 3164?\nAnswer: 3825276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/128?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -0.0826.\nAnswer: -0.4826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-20))\/(2\/(-15))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvw when three letters picked without replacement from kddvvvvddvvvdwwvdkv?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**38*h*h\/(h*h\/((h*h**(5\/14)*h)\/h)) assuming h is positive.\nAnswer: h**(551\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*r - 47. What is the lowest common multiple of r and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a + 10*a - 14 - 40*a. Is i(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92876525 divided by 5\nAnswer: -18575305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2354063 - 0?\nAnswer: -2354063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -67673 and 1.\nAnswer: -67673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000657 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*d + 319 = 0. Let p = -317 - d. Solve -4*x + 14 = -p*f, -2*f - 3*f - 4*x = -35 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 2 + 2 + 3*w. Let k(h) = 3*h**2. Calculate p(k(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93234 + 3170187\/34. Let v = -1941\/68 + p. What is the common denominator of (130 + 11)*2\/348 and v?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*y**2*z**3 - 171*y**2*z**2 - 8*y**2 - 9*y + 450*z**3 wrt y.\nAnswer: 8*z**3 - 342*z**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 30*j - 51. What is the remainder when 49 is divided by k(-32)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46160 and 73856.\nAnswer: 369280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23974 - 12548. What are the prime factors of d?\nAnswer: 2, 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/55 and 14\/975.\nAnswer: 10725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/13941 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (74\/((-5328)\/(-15)))\/(10\/126)?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = l. Let m be (-1)\/2*48\/l. Suppose 4*w - 66 = 3*y - m, -5*w + 65 = -5*y. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2652 and 2652.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 429 - 226. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*g - 19*g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 0 - (-2 + -3)) + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*r + 51*r = 1440*r + 59*r + 23508 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 2*h - 1. Let o be a(2). Let j(f) = -f + 1. Let p(u) = -3*u - 1. Let s(x) = o*p(x) + 2*j(x). What is the first derivative of s(m) wrt m?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 44*v**2 - v + 14. Let g(p) = -15*p**2 - 4. Give -7*g(x) - 2*t(x).\nAnswer: 17*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 865 + 784 = 188*o + 227 - 834 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4673476.\nAnswer: 2, 227, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(143)\/(sqrt(1584)*-3) - 1*(sqrt(1872) + -2)).\nAnswer: -433*sqrt(13)\/36 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agac when four letters picked without replacement from {m: 1, a: 3, g: 6, c: 2, r: 2}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3360 by 112.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29694342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1 = -0*i - 3*g, -g = 2*i - 3. Suppose n = -j + 14, 35 = 2*j - 4*n + i. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 88, 0 in increasing order.\nAnswer: -1, 0, 5, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ca6b6 (base 15) to base 3.\nAnswer: -1012122201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*l + 4*l + 13*l = 298820. Is l != 4460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/85 + (-12)\/102. Which is the third smallest value? (a) 0 (b) l (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/3, 2\/11, -89, 5\/3, -0.3, 0.07?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, o: 2, v: 5, i: 4, y: 2, c: 2}. What is prob of picking 1 v and 1 y?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*(-1)\/(-9) + 1 + (-72)\/35. Which is the second biggest value? (a) -4 (b) 26 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llqgqlgqll. Give prob of sequence gg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-119)\/51)\/(21\/(-108))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -828.8 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1825439 centuries to decades.\nAnswer: 1.825439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + x + 4*x + (1 - x - 1)*(-1 - 6 + 8) as k + f*x and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2 - 30719232*c - 92157714 = 0. Calculate c.\nAnswer: -3, 15359619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2424*v + 16. Let h(r) = r**2 + 6*r + 14. Let l be h(-4). Let a be j(l). Let y = -21428 - a. What is y rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408\/170*(143\/(-13))\/(-11)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 5. Suppose -a*j + 3*z + 12 = 0, 6*j - 5*z - 9 = 3*j. Suppose w**3 - 2*w**3 - 2*w**j - 2*w**3 + 15*w + 10 = 0. Calculate w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 1) + (61 - 56)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1\/((-6)\/(-2960)) - 36\/(-54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, m: 2, p: 2, g: 1, f: 1}. What is prob of sequence pfx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(60\/5)\/12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63761*o**2 + 63767*o**2 - 127528*o**2 + 2*o**3 - 3*o**3 + 0*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 11:55 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16607042 to the nearest integer?\nAnswer: 4075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 9)*3\/(-2). What is the tens digit of (20\/6)\/((-2)\/y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2. Let i(h) be the third derivative of -7*h**5\/60 + 5*h**4\/24 - 5*h**2 - 4*h. Determine v(i(u)).\nAnswer: 49*u**4 - 70*u**3 + 25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 14*q + 13*q - 606129, -3*g = 4*q - 909155. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6135*m**2 - 49*m + 58*m - 9*m.\nAnswer: -6135*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (1189 + -1)\/(58\/87) and 18?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/8 and -39\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 g when four letters picked without replacement from gggghgh?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 0*u + 2\/3*u**3 + 0 + u**2 - 1\/3*u**4. Is s(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 1) + (-3 - 310\/(-75)). Let o be 3\/(2 + 1)*1. Suppose -336 = -4*m - 348. Which is the second smallest value? (a) o (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 257443*c*l + 193219030*c - 19*l with respect to l.\nAnswer: 257443*c - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgqhqqmghmimqqq. Give prob of sequence qhh.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-628)\/315 - (-5 - -3). Let g be (41 + -41)\/((0 + -2)\/2). Which is smaller: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p. Let t be -10*3\/(-6)*1. Let l(q) = 5*q - t*q + 10*q. Let o(a) = -a**3 - 7*a**2 + 14*a + 35. Let r be o(-8). Give r*z(y) + 6*l(y).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 y when two letters picked without replacement from {j: 1, c: 4, n: 2, v: 1, y: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 136488404 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83*a - 103 + 103)*(a + 4*a - a).\nAnswer: 332*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -124 + 129. Suppose -981 = -p*v + 324. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2\/3, -0.1, 77, -5\/4, 2.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*15*(1144\/(-1820))\/22?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 + 25*p - 6*p**2 - 3*p**3 + 11*p**2 - 16*p**2. Let v(y) = y**3 - 4*y**2 - y - 5. What is the remainder when v(6) is divided by d(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4213\/5 + -843. What is the biggest value in -5, c, -2\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + -32 + 29 + 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/116060 and 97\/69636.\nAnswer: 348180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 1 + 2*h - 4*h - h. Suppose -2*a + 0*u - 8 = -3*u, -4*a + 4*u - 12 = 0. Let i be m(a). Solve j - i = -0*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5305688 by 4.\nAnswer: 1326422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29704154 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 (base 4) in base 7?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 8*b - 88 = 0, b = -520*l + 524*l + 11 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*5)\/(sqrt(96)\/sqrt(12)).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71728 * -0.6.\nAnswer: 43036.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.3739 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x - 4*q - 12 = 0, q = -5*x + 18. Let z be 2 - (5 - (x + -1)). Let s = z + 8. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1031, -2060, -3087, -4112, -5135, -6156, -7175?\nAnswer: -8192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -92? (a) 8 (b) -0.2 (c) 0.843\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.241331ml?\nAnswer: 0.005241331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 443.875 rounded to 1 decimal place?\nAnswer: 443.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1125 = -123*d - 2*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000036168948 to 7 decimal places.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*j**5 - 22*j**3 - j + 384 wrt j.\nAnswer: -260*j**3 - 132*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7834 + 15491. What is the thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 16 = -5*f, -2*q + 8 = -5*q + 5*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(4)*-5) + (1*(-4 + sqrt(7)))**2.\nAnswer: -41*sqrt(7)\/5 + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18657, 37312, 55967?\n\"Answer: 18655*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140 + 143)*(-16)\/(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a hour in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 6 + 42 = 0. Suppose -3*a + 4*x + 67 = -x, x = -a + u. Find the third derivative of -8*g**2 - a*g**5 + 7*g**5 + 0*g**2 wrt g.\nAnswer: -420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11000220021102 - 101?\nAnswer: 11000220021001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6241, 6237, 6239, 6253, 6285?\n\"Answer: y**3 - 3*y**2 - 2*y + 6245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 1169 = 4*q + 3*f, 4*f = -12. Let t be 5821\/(-11) + (-24)\/(-132). Let s = q - t. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 1)*2\/3. Which is the third biggest value? (a) 2 (b) -0.5 (c) -0.2 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1574*w + 12977 = 891*w for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 3 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(400) - (sqrt(400) - 1*sqrt(400))))\/(sqrt(12)\/(sqrt(4)\/sqrt(2)) - (-2*sqrt(72) + sqrt(72))\/sqrt(12)).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38697835*c**6 - 5*c**2 - 1804*c + 30.\nAnswer: 4643740200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -3\/11, -3\/4, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/(0 + (-2)\/(-15)). Suppose 2*j + 2*a = -2, a + 0 = -4. Solve -k - j = -y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -123, -77, -11, 81?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*w**3 + 15268*w**2 - 22*w - 105714 wrt w?\nAnswer: -288*w + 30536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 770175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2504 = 7*k - 6620. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.142 + -0.142. Let g be (-18)\/63 - 22\/(-126). Sort 9, g, 0, v in decreasing order.\nAnswer: 9, v, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(6\/11))**(-28))**(-2\/47))**(-2\/31))**29 assuming i is positive.\nAnswer: i**(-16240\/16027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 0*u + 0 - 5*u**2 - 1\/30*u**5 + 0*u**4 + 0*u**3. Let g(h) = 4*h. Determine g(q(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 y, 1 k, and 1 m when four letters picked without replacement from {u: 2, o: 1, k: 6, m: 1, n: 3, y: 2}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -4)\/((-1)\/(-6)). Suppose -w - 3 = -f. What is the first derivative of -3*n**3 + 3 + 2*n**w - 3*n**3 wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 40 - 16. Let a be (0 - i)*3640\/168. What is the highest common factor of a and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -12. Let h = 8 - p. Suppose -h*d + 15 = 3. Solve 2*n + 2*k = -3 - 3, -12 = d*n + 3*k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26445 + 2919 = 841*u - 7640 for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s**2 + 9*s - 3. Let u(o) = -o**2 + o. Let c(l) = 4*u(l) - z(l). Let p be c(4). Is -2\/339 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/4 and 71\/5020?\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 23*y - 11. Let m(a) = a**3 - 7*a**2 + 5*a - 4. Let o be m(6). Calculate the lowest common multiple of n(22) and ((-10)\/25)\/(1\/o).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 6:18 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461891.\nAnswer: 461891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -61, -152, -279, -442?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 880 - 427. What are the prime factors of o?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 3:20 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 149.74 * -2.14\nAnswer: -320.4436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 311 - -18. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262909 is divided by 4326.\nAnswer: 3349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + j + 4*x = 40, 2*j + 13 = x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 120*x - 511. Let a be b(64). Let y(o) = -o**2 + o - 1. Let c(u) = 9*u**2 - 6*u + 6. Suppose m - 9 = -3. Determine a*c(k) + m*y(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27554352 and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 392 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*m**3 + 23*m**3 - 1 + 220*m**3 + 1.\nAnswer: 214*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/57728 and -29\/5875136?\nAnswer: 129252992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*6\/(-10))\/(6\/30). Is g less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + m**2 + m - 1. Let r be x(1). Let h = -138 + 144. Suppose r*c + h = -c. Let a(u) = u**3 + 5*u**2 - 6*u + 1. Calculate a(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -19. Suppose -f*r + 6*r - 4*n - 44 = 0, 2*r - 9 = -3*n. Let x = 37 + -15. Calculate the remainder when x is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.018597 + 0.018597. Suppose 2*m + 1 = -3. Which is the third smallest value? (a) -15 (b) v (c) 0.1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 725120.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 - 2)*(-4 + 4 - v + (1 + 0 + 1)*(20*v - 10*v - 11*v))*(-2*v**3 + 2*v**2 - 2*v**2) in the form g + a*v + y*v**4 + q*v**3 + m*v**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/12*(-3)\/(-4) - 0. Solve -c - c - j = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 2. Let j be b(0). Solve -5*p - 12 = -j*r, 2*r = -p - p - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001000 - -1010101001111?\nAnswer: 1011100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y - 1. Let h be o(-1). Suppose -344 = -0*z - 4*z - 2*u, h*z - 182 = 4*u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 2:41 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3*73839818\nAnswer: -221519454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25194618 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 not equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 447627*u + 447734*u - 895329*u.\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -40780 divided by 10195\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.3 equal to -0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2. Let g(w) be the first derivative of -83 + 393\/2*w**2 + 0*w. Determine g(m(q)).\nAnswer: -393*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 24\/(-9))\/((-4)\/6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 26733495 divided by -2055\nAnswer: -13009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/1144 and -85\/22.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 11*z + 33 = 0. Let m be 47519999\/9 + z\/99. What is m rounded to the nearest one hundred thousand?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bc3bc9 (base 13) to base 5\nAnswer: -2113414240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.08, -6, 148?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5231172 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -85 - -54 - (-3 - (-21 + 0))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*z**3 - 2*z**4 + 22*z**3)*((4 + 1 - 3)*(5*z - 3*z - 3*z) + z + 38 - 38).\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 3*o - 5. Let q = -84 + 98. Let f be (2 + -5 - (-46)\/14)*q. What is k(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81612417 is divided by 2147695.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3171.\nAnswer: 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 27*i**3 + 8*i**2 - 17*i + 63. Is d(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 35.4. Let k = y + -1.4. Let t = 0 + -0.3. Which is the nearest to 0.3? (a) 0.4 (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-9)\/18*-3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 5*f**2 - 2*f - 6. Suppose 0 = -58*j - 66 + 199 + 215. Let y(v) = v**2 + v + 1. Calculate j*y(k) + g(k).\nAnswer: -k**3 + k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 580445688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2196.5 - 2257. Which is the closest to 0? (a) t (b) 1\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (25352\/(-44))\/(-1) + (-2)\/11. Suppose -180 = 4*h - u. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*j - 2 + 5 = 0, -10*w = -2*j + 36. Sort 3, w, -56 in increasing order.\nAnswer: -56, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1123 - 1123 + 180529*u**2 - 361068*u**2 + 180545*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 - (99\/(-27) + -2). Let z(a) be the second derivative of a**5\/20 + a**4\/2 + a**3\/6 + 5*a**2\/2 - a. Let d be z(-6). Which is smaller: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34498261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -7\/24*y**4 + 2\/3*y**3 + 0*y - 7*y**2 + 0. Let z(j) = -6*j + 3. Determine -5*f(o) + 6*z(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/955 and 73\/980.\nAnswer: 187180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 - 3*k**2 - k**2)*(-3 - 2 + 1) + (4*k + 0*k - 3*k)*(0*k + 4*k - 2*k) - 2 + 2 - k**2.\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 1\/6*a**3 + a**2 + 0 - 5*a. What are the prime factors of y(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123610 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 2*f + 26, -2*z + 0 = -4*f + 2. Suppose j = -4 + z. Let h(x) = -3*x**3 + x + 1. Let n be h(-1). Solve -n*m - j = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4687.8 or -1?\nAnswer: -4687.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 23*l**2 + 6*l + 8. Calculate n(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*f + 6 + 118, -4*i - 101 = 5*f. Let p = i - -26. Suppose 3545 = 4*j + u, -p*j + 1780 = -3*u + u. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21750 divided by 290\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 11:00 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -973*f**6*r - 1792*f**6 - 254*f**2 + 203*f*r + 1 wrt f.\nAnswer: -116760*f**3*r - 215040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-44)\/28)\/(6\/(-42)). Let z(a) = 9*a**2 + 11*a - 11. Let q(b) = 209*b**2 + 2*b - 207*b**2 - 2 + 0. Give s*q(m) - 2*z(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -46. Let a(x) = -16*x - 6. Let c(m) = 11*m + 4. What is y*c(d) + 5*a(d)?\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/4200*-5)\/((-51)\/(-170)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from kkeek?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -19117062 + 650*q + 19117062 in the form l*q + t and give l.\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6259 milligrams in micrograms?\nAnswer: 625.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 23*p**3 + 32*p + 66. Determine t(-2).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3953438 by 1976719.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 b when three letters picked without replacement from rbnnn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b + 149. Let l be v(-73). Solve -l*q = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100 + -99. Solve -s + 4 = -5*s + 4*c, -s = 5*c + f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -o + 3, 5*x = 2*o + 3*o + 35. Let v(m) = 1178 - x*m - m - 1118. What is the units digit of v(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 - y**2 - 8*y + 28. What is the tens digit of l(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 5*w**2 + 2*w - 40. Let a be v(-6). Let i = -40\/37 + 3385\/222. Find the common denominator of i and (-38 - -1)*a\/352*2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*k - 5*i + 30, 4*i + 28 = 2*k. Let u(g) = g**3 - 8*g**2 - 20*g + 5. Give u(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 954571778 divided by 882229.\nAnswer: 1082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301.561 kilometers to meters.\nAnswer: 301561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z + 7*z - 124 = 0. Suppose z*h + h - 100 = 0. What is the remainder when 235 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 11:35 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**2 - 1444*g - 260642 = 0.\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 7*c**2 + 14 + 3*c + (-c**2 - 3*c**2 + 2*c**2)*(0 + 0 + 1) as f + m*c + j*c**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/5)\/d*d)\/(d*d**(-1\/6))*d*d**(-1\/23)*d**9 assuming d is positive.\nAnswer: d**(6157\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 292162 - 652162. What is r rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8386.\nAnswer: 2, 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42854 = 5*o + g, 5*o - 302*g + 306*g = 42866. What is the thousands digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21888 divided by -96.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 344 and 1467651920?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 9. Let s = 3 + -3. Let r = s - -1. Put v, -1\/3, r in descending order.\nAnswer: v, r, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2506448 to three decimal places.\nAnswer: -1.251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 5*a. What are the prime factors of h(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.33979 - 0.73979. What is the biggest value in 0, 4, j, -1\/4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 23*t + 25. Determine y(-26).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 8*i + 5*i + 14, 0 = -4*s + 2*i - 66. Let p = 29 + s. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.73 - 7.87. Let p = b - -17.8. Let q = p - -2.5. Round q to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 10. Let f(o) = -o. What is the units digit of f(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2 - 4 = 0. Suppose 4*z + 12 = 6*z. What is the third derivative of 3*l**6 - l**2 - h*l**z + l**6 wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmcjjxmvbcxxm. What is prob of sequence xxm?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 13. Suppose 0 = -3*c + b + a + 10, -b - 37 = -4*c. What is the highest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 86, 63, 268, 899, 2154, 4231?\n\"Answer: 33*z**3 - 84*z**2 - 2*z + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -1)\/(-3) - -2. Let y = 1 + x. What is the second derivative of 2 - y*z - 2 + z**2 wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (19 - 47))\/1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uux when three letters picked without replacement from {w: 7, u: 3, x: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 6. Let p be q(-6). Let i = 384 + -394. Sort p, 4, i, 3 in descending order.\nAnswer: 4, 3, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 84 = 3*y, 7*w = 6*w + 4*y - 21. Calculate the common denominator of 41\/8 and (-70)\/w*(18\/(-32) - 1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r + 27*r + 8*r + 24 - 24.\nAnswer: 52*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 9*c**2 - 10*c - 25. Let h be (-4 - 96\/(-20))\/(((-6)\/(-25))\/(-3)). Determine t(h).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 2:19 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*f = -115*f - 1800. Calculate the lowest common multiple of f and 3.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 42 = -37*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 17 = -4*c, 2*k - 10 = -5*c + 7. Factor 0*j**4 - 2\/11*j**5 + 0 + 0*j**2 + 4\/11*j**c - 2\/11*j.\nAnswer: -2*j*(j - 1)**2*(j + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 82*v + 9*v + 8645 = 70*v for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 1:53 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) -612 (b) 3 (c) -4\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*z + 925636 + 919819. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 23, -2 in increasing order.\nAnswer: -2, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(2 + 0))\/1. Let j(q) = q**2 - q + 9. Let c be j(k). Let f be ((-2)\/3)\/((-6)\/c). Which is bigger: -3\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -31, 14294, -3, 4 in ascending order.\nAnswer: -31, -15, -3, 4, 14294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/7 - 2*h**2\/7 + 16*h\/7 + 24\/7 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 6:59 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8046 is divided by 7996?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glfdfdf. Give prob of sequence lf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 52?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*y**3 - 17*y**3 + 60*y**3 + 10*y**2 + 5*y**4 - 8*y**2 to s*y + g*y**4 + m + w*y**2 + d*y**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 550008?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 493400 rounded to the nearest 10000?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117914 + 394304413\/3344. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354150?\nAnswer: 2, 3, 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 4*s + 0*s)*(5 - 5 + 3*s)*(-4*s + 2*s + 4*s)*(-26 + 59 - 34).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2152, 21610, 54038, 99436?\nAnswer: 157804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i**2 - 2*i + 6. Let x be k(-2). Which is bigger: -23 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h + h)*(-1 - 1 + 0) + 5844*h + 3 - 5 + 37116*h - 8 + 10.\nAnswer: 42964*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8174 and 23530872?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**2 + 2. Let w(j) = 48*j**2 + 15. Let u = -5 + 3. Suppose 0 = 9*h - 2*g - 137, -120*g + 119*g - 46 = -3*h. Give h*k(l) + u*w(l).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 33 - (-11 - (-18 + -12 + 16))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 75766168 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 21*f**2 - 42*f + 161. Calculate r(20).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48263 is divided by 47871?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 78001*d + 78005*d - 6 = 0, -5*d - 25 = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/((-4160)\/39))\/((-765)\/360)?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264 and 192.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2662592, -2662590, -2662588, -2662586, -2662584, -2662582?\nAnswer: -2662580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**3 + 9*i - 7*i**2 - 3*i**3 + i**3 + 9 - 2*i**3. Let p be m(-6). Let r = -57 - p. Solve l + 4*l = o + r, 3*l = -2*o + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 20 = -n. Let a(f) = f**2 - 6*f + 3. Let v be a(n). Let d be ((-12)\/14)\/(v\/14). Solve 0 = 2*k + d, -m = -3*k + 8*k + 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 27 = 3*i, 0 = 4*i + 5*r - 6 + 41 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 8200896?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3630 = 128859*n - 128874*n. Suppose -r - 3*r + 244 = 0. Calculate the remainder when n is divided by r.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2300333 - 3?\nAnswer: -2300341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10) + (-1)\/15. Let r = 0.6 - 0.1. Which is the closest to d? (a) r (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -15*u - 10*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -98?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1626288920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 175614 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**3 - 5*n - 5. Suppose -2*k + 22 = -2*a + 7*a, 2*a + 3*k - 11 = 0. Let r(b) = b**3 - b - 1. Let g(v) = a*r(v) - c(v). Give g(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a factor of 17677593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 372136162 or 372136163?\nAnswer: 372136163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 31*t + 155 = 434 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.15273 to 1 decimal place.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 3*m - 3. Let s(v) = -5*v**2 + 8*v - 8. Let c(w) = -8*d(w) + 3*s(w). Let b(n) be the third derivative of n**4\/24 + n**2. What is b(c(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.701187ug to milligrams.\nAnswer: 0.000701187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100355 - 2?\nAnswer: 100353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6230 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3, -8, 33?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - d + (2 + 3 - 2)*(2*d - 3 + 3) - 5*d - 3 + 3 + (2*d + 1 - 1)*(4 - 5 + 2) - 8*d + 2*d + d as i + s*d and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*-2*18\/8. Suppose -u = -3*p + 12. Calculate the highest common divisor of 49 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**2\/19 - 4280*v\/19 + 25608\/19 = 0.\nAnswer: 6, 2134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 511205629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**8\/23520 + q**7\/2205 + q**6\/630 + 7*q**4\/12 + 17*q**2. Let p(x) be the second derivative of g(x). Factor p(o).\nAnswer: 2*o*(o + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-54)\/4)\/9)\/((-8)\/(-16))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 + -1 - (-7 - (1 + -1)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.8448437 hours?\nAnswer: 3041437.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 times 3?\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 512.890609 to the nearest 10.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 124680 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/8)\/(k*k**(-3)*k)*(k*k*k**1)\/k**(-6) assuming k is positive.\nAnswer: k**(79\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7472?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-2*x**4 - 4 + 4 - 4*x**4 + 6*x**3 - 6*x**3 + (2*x**4 + 2*x - 2*x)*(1 - 5 + 2) + 3*x**4 - x**3 + x**3).\nAnswer: -7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0 (c) 120 (d) 0.7 (e) -4 (f) -14 (g) -1\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*d = -96, -r = 2*r - 5*d - 48. Suppose -4 + 85 = 3*q. Let b = q - 16. What is the remainder when r is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**4\/4 + 45*b + 5. Let h(z) = 268*z**2. What is h(d(s))?\nAnswer: 2412*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -252 - -176. Does 4 divide (-12)\/(-30) + f\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/18*(-1)\/(27\/45)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/67 (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, q: 2}. Give prob of sequence qqss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1301 - 1291. Calculate the least common multiple of j and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20637 (base 8) to base 13.\nAnswer: -3bc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1661 + 1661 + 5*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 536 and 64588.\nAnswer: 129176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*c - 47*c**2 - 53*c)*(-4*c**2 + 2*c**2 + c**2) + (2*c - 1 + 1)*(0*c**3 - 5*c**3 + 3*c**3).\nAnswer: 43*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0 + 5 = 0. What is the third smallest value in n, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42\/5 of a millennium?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9*(-3)\/(-15))\/((-133248)\/(-6940))\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 - -1. Let m be 2\/l*(-24)\/30. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008064334712 to seven decimal places.\nAnswer: -0.0008064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjjtn. What is prob of sequence tp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 37*n**2 + 158*n + 226. What is w(41)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20254 (base 6) to base 16.\nAnswer: a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 11. Suppose 0 = g - 2*g + 4. Let x(b) = -6*b**2 - 1 + 3*b**2 - 2 + g*b**2 + 6*b. What is x(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 38.2359 and 0.03?\nAnswer: 38.2059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 0.8. Let v = o + -0.8. Let c = 6 - 7. What is the nearest to c in v, 1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 3:08 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 4*q**2 - 4*q + 2. Suppose p + 4 + 4 = -3*b, 5*p = 2*b - 23. Give j(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7047 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 8:25 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3129 + 103.9.\nAnswer: -3025.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 - -1110110?\nAnswer: 10001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16252307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 4*k - 1. Let y be l(-3). Suppose 5*g - 14 = -4*x + 3, 27 = -x + 5*g. Let c be (-3)\/(x - 14\/(-4)). Sort c, 0, y in descending order.\nAnswer: y, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245519565 a multiple of 2445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187900296 to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - j**2 - 2*j + 2. Let y be f(2). Find the second derivative of -5*p + y*p**5 + 3*p**5 + p**5 wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60296438 by 27583.\nAnswer: -2186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 249*p - 257. Calculate the remainder when 1207 is divided by b(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*y = -8, y = -0*y + 2. Let a(l) = l + t + 1 + 0. What is the units digit of a(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-15) - (-4 + (-48)\/(-10)). Let h(r) = r**2 - 18*r + 30. Let g be h(14). Let v be g\/10 - (-5 + 2). What is the closest to v in f, -4\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8666, 8702, 8738, 8774?\nAnswer: 8810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 - 240*t**3 - 2260*t**2 - 3600*t.\nAnswer: -5*t*(t + 2)*(t + 10)*(t + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1700 + 345 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**5\/20 + c**4\/12 - 2*c**3\/3 + 3*c**2\/2 - c + 80. Suppose 4*j + 3*o = 23, -o = 4*j + o - 18. Calculate f(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 61 + 19 = 0. Calculate the highest common divisor of x and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, 5, 2, 4 in descending order.\nAnswer: 5, 4, 2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 400 + -395. Suppose 0 = 5*s + 3*o - 39, 6 = 3*s - 5*o + o. Calculate the lowest common multiple of x and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -493, -1640, -3869, -7540?\nAnswer: -13013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 632 + 20 = 0. Suppose -16 + r = 4*p + 3*l, -2*p + 69 = l. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o. Suppose -40 = 45*u + 50. Let q(h) = -5*h - 3. Let g(p) = p + 1. Let s(z) = 4*g(z) + q(z). Let v(n) = u*x(n) - 3*s(n). Calculate v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c. Let k(r) = 3*r**2 - 9158. Calculate f(k(z)).\nAnswer: -3*z**2 + 9158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1165802 by 105982.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 476990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:14 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a - 4. Let y(m) = m - 1. Let s(p) = -u(p) + 4*y(p). Let q(o) = 9*o**2. What is s(q(z))?\nAnswer: -45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 12:48 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.1101643 nanoseconds to minutes.\nAnswer: 0.000000000035169405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {s: 8, b: 2, u: 8}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12 = 0, -5*l - x + 472 = -342. Let h = 174 - l. Calculate the remainder when 153 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-6 - (-2 + -4)) - (-3 - -25).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**3 + 120*n**2 - 3*n - 120 = 0.\nAnswer: -40, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84604 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7425 + 202 + 22627 - 397)*(k + k - 4*k) to l + h*k and give h.\nAnswer: -59714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.14186 from -7.5.\nAnswer: -7.64186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11915656?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.00194.\nAnswer: 0.00388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16749622 divided by 16749622?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 184\/138*(-51)\/238?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.3 + 8.300326. What is f rounded to 5 decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 0.5, 2, -5.\nAnswer: -5, 0.5, 0.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -634109, -1268225, -1902341, -2536457?\n\"Answer: -634116*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 - 6*x**2 - 2*x**3 + 3*x**3.\nAnswer: 3*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.53066mm to micrometers.\nAnswer: 2530.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p + 661 + 125539. What are the prime factors of p?\nAnswer: 2, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 951797.25718 plus -4?\nAnswer: 951793.25718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9361?\nAnswer: 11, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-28) + (-1790)\/(-8). Let h = 240 - w. Solve 7 = -3*v + h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**5\/7 - 4*q**4\/7 - 4*q**3\/7 + 4*q**2\/7.\nAnswer: 4*q**2*(q - 1)**2*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 985*v**2 - 120*v + 3. Is m(2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10672, -10704, -10738, -10762, -10764?\nAnswer: -10732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8736620611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 1746?\nAnswer: -1746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(-5\/4)\/s)*s*s**(2\/15)\/s assuming s is positive.\nAnswer: s**(203\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137\/363 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/11)\/q)**(-2\/13))**1\/(q**(-6)\/q**(-3\/4)*(q**(2\/9))**(-19)) assuming q is positive.\nAnswer: q**(48619\/5148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/60*15*(-1)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 5\/6*g**4 + 0*g - 2*g**3 + 0 - 2*g**2 - 1\/60*g**5. List the prime factors of h(14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167253249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3695*c - 2113522. Give o(572).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 805 and 840.\nAnswer: 19320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/9 + 437\/171. Let z = -50209 - -6828491\/136. Let x = z + -3\/8. Put x, m, 1 in ascending order.\nAnswer: x, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-1 - (3 + 0 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*j + 47 = 0, 3*j + 16 = 3*y - 23. Solve 14*s - y*s - 15 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 9*b**7\/28 + 453*b**6\/80 + 2649*b**5\/160 - 475*b**4\/32 - 47*b**3\/16 + 45*b**2\/8 - 2*b + 505. Find d, given that c(d) = 0.\nAnswer: -10, -3, -1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66821 is divided by 11006.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 t, and 1 w when three letters picked without replacement from rstdttw?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -107, -1072, -1\/2, -1?\nAnswer: -1072","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddjddddddddddddddd. What is prob of sequence dddd?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23249?\nAnswer: 67, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 24*a + 1135. Let f be o(0). Suppose i = 5*s + 564, -3*s = 2*i - 4*i + f. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n + 5*n**3 - 5*n + (0*n**2 + 0*n**2 + 5*n**2)*(-2*n - n + n) - 76*n**2 + 76*n**2 - 88*n**3 to the form c + m*n + z*n**3 + o*n**2 and give z.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (89078\/44)\/((-2)\/(-8)*2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-1)*(-14)\/4. Let v be q*3\/6 - 1*3. Let h = 68 + -41. What is the greatest common factor of h and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 12:52 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 82, -3, 3 in decreasing order.\nAnswer: 82, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/(i**(-8)\/i))*i\/(i\/i**(-6)*i*i))**49)**(-8\/15) assuming i is positive.\nAnswer: i**(2352\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37866736?\nAnswer: 2, 2366671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 2*o**7\/105 - o**5\/15 + 3*o**2\/2 + o. Let q(w) be the first derivative of v(w). Find the third derivative of q(n) wrt n.\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/6*(-48)\/160.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a + 16. Let k be n(6). Suppose -5*c + 108 = -w, c + 5*w = k*c - 78. Solve -f + 5*p = -4*f + 6, 5*f = 2*p - c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 987 + -986.99997899. What is v rounded to six decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/5 + 5\/25. Let v(s) = c*s + 8*s + 5*s. Let p(i) be the first derivative of -i**2 - 973. Give p(v(d)).\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 1136*p**2 - 160170*p - 324900.\nAnswer: -2*(p - 285)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6503 to 2 dps.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from {f: 3, h: 2, w: 1, l: 7, y: 1, t: 3}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5552684275398225 - -5552684392215778.89000364. Let z = x - 116817556. Let y = z + 2.11. Round y to 7 decimal places.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 - (-12 + -13 + (7 - (-9 + 26)) + 35)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 231 = 5*j, j + 3*g = 5*g + 35. Calculate the remainder when 79 is divided by j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -454 - -552. Let q(i) = -99*i - 97*i - j*i + 295*i - 11*i**3. Give q(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 835521.3410567.\nAnswer: -835520.9410567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -358*v**2 - 136*v - 442. Give g(-3).\nAnswer: -3256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -234 greater than -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 10 + 6 = 0, -194 = -3*i - 4*h. Suppose -5*p + i + 74 = 4*q, 3*p = 12. What is the remainder when q is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, g: 4, l: 2}. Give prob of picking 4 g.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 1, 1269, -73, -2, -39.\nAnswer: -73, -39, -2, 1, 2, 4, 1269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*4\/(4\/5). Suppose -14 = -6*v + h*v. Let i = 833 + -8301\/10. Find the common denominator of v and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 53 = -13*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 374773455?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -573 + -0.11.\nAnswer: -573.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -37202 + 37202 - 347*c in the form w + j*c and give j.\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28*54.\nAnswer: -15.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(272)*3)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 5, 264 in increasing order.\nAnswer: -3, 1, 5, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/6)\/((-434)\/(-35)). Let w = 10722839659\/1581 - 6782315. Let f = w - d. What is the third smallest value in f, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7*f - 1. What is the units digit of r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557511 to the power of 1\/2, to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 140. Let r be v(32). Let t be (18\/4)\/(6\/104). Let k = t + r. Solve 5*q = a - k, -q + 3 = 2*a - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -460, -38, 1104, 3326, 6988, 12450, 20072?\n\"Answer: 60*l**3 + 2*l - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 843 - 843 + 164*y as u*y + x and give u.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + 4. Let a be (-1)\/3 + 2150\/15. Suppose b - a + 140 = 0. Give c(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52122 - -41088.725\nAnswer: -11033.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*q = -53*q - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -b + 4, -b - 4*g + 10 = g. Let q(i) = -18*i + 12. Let y be q(b). Solve -7*o + 10*o = -y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((-9)\/(-36))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q)**(2\/157)*(q**(1\/9)*q)\/(q\/q**(2\/17)) assuming q is positive.\nAnswer: q**(35\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/3)\/n)**(2\/31)\/(n\/(n\/(n*n**(3\/8)))*n*n\/((n\/(n*n*n*(n\/(n*n**(-5\/3)))\/n))\/n)))**(-3\/16) assuming n is positive.\nAnswer: n**(5303\/3968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 13 = 19. Let f = -10 + -3. Let t = f - -67. Calculate the highest common divisor of t and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 22. Let z be u(8). Suppose 2*n - 40 = 2*j, -65 = -3*n - 3*j + j. What is the greatest common divisor of n and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(k + k + 0*k) - 3*k - 3*k + 2*k + 6*k - 2*k - 2*k + (-2 - 3 + 6)*(2 + 0 + 1)*((5*k - k - 2*k)*(-3 - 2 + 3) - 1 - 5*k + 1 - 1 + 1 + 2*k).\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3211 = 20*z - 51891. What are the prime factors of z?\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 269*c**2 + 325*c - 87500. What is x(269)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 13*v. Suppose -60 = 2*c - 2*l + 28, -5*c + l = 224. Let b = c - -32. Let y be o(b). Solve 3*a + y*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 6. Is 0 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -55476, -55467, -55460, -55455, -55452, -55451, -55452?\n\"Answer: -r**2 + 12*r - 55487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g. Suppose -5*z - 30 = -10, -5*d = 5*z + 30. Let v be t(d). Which is the closest to -0.1? (a) 3\/2 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01 and 0.0376.\nAnswer: 0.0476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 102 = -6*y. Let z = y + 90. Suppose 5*r - 194 = -z. What are the prime factors of r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2\/3 + 292*x - 31974 = 0.\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76*q**2 + 6190 - 2510*q**2 + 6866 - 3591*q**2 with respect to q.\nAnswer: -12050*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbeedddebddde. Give prob of picking 1 d and 1 b.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1190 and 61\/17955.\nAnswer: 610470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -173, -176, -169, -146, -101, -28, 79?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -11*y - 6. Let k(z) = -z - 1. Let o be (-2)\/6*3*-1*-1. Calculate o*f(i) + 6*k(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -555*h + 8203 - 769*h - 8203 as g + t*h and give t.\nAnswer: -1324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmddddddmmmdm. What is prob of sequence md?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/15 - 2666*d\/15 - 2288.\nAnswer: -2*(d + 13)*(d + 1320)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/50 and -69\/419000.\nAnswer: 419000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575\/(-63)*(-4)\/5*3\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/h**(1\/3))\/(h\/(h\/((h**(2\/5)\/h)\/h*h)*h)*(h\/h**(2\/3))\/h) assuming h is positive.\nAnswer: h**(44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*d**3 + 19*d**3 - 13*d - 20*d - 21*d + 1 to r + w*d**2 + o*d + j*d**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 0*t**2 - 5*t**2 + t**2 + 2*t**2. Let n(a) = -a. Calculate n(x(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 1. Let r be z(-7). Is (r - 4)*(-230)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 + (-60 - -29) - -2) + 50 + 1?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35956.\nAnswer: 2, 89, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49\/26 + -3961\/1274. Let j = 3669\/245 - y. Find a such that -1\/5*a**4 - 12\/5*a**3 - 54\/5*a**2 - 108\/5*a - j = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2654.\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 2, 2.35, 17177?\nAnswer: 17177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 16. Let y = 25 - k. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/3)*(z\/z**(-2))\/z)**(4\/5)*((z\/(z*z**(-1\/3))*z*z)**34)**(-27\/2) assuming z is positive.\nAnswer: z**(-16061\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 315442.8l?\nAnswer: 315442800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -101\/3. Suppose -15*n + 57 = 4*n. Suppose -2*d - 20 = u + n*d, -d - 4 = 4*u. Which is the smallest value? (a) q (b) u (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4335?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqq when three letters picked without replacement from {i: 4, r: 2, q: 6, u: 1}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = 2*y - 10, -5*n + 3*y + 1 = 0. What is the second derivative of -12 - n*r + 12 - r**5 + 4*r wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021120 (base 3) in base 5?\nAnswer: -23122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1628 = -3*s, -16*s - 5*u = -15*s - 539. Is s a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 591079168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -10*v**2 + 28*v - 16. Let j(u) = 3*u**2 - 9*u + 5. Let b(s) = -16*j(s) - 5*r(s). Solve b(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 374*b**2 - 3. Let t(s) = -4*s - 6*s + 13*s - 4*s + 0*s. Calculate a(t(w)).\nAnswer: 374*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -177, -255, -317, -357, -369, -347?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 599, 24, -2\/21.\nAnswer: -2\/21, 24, 599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 914 + -845.7. Let g = -68 + u. What is the second smallest value in -1, 0, -7, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 67223?\nAnswer: 67228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148215809.\nAnswer: 7, 17, 191, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n - 32. Let r = -2 - -8. Let x(i) = i**2 - i. What is the remainder when x(r) is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 32. Let k be -7 - (-2 + -61 + 1). What is the greatest common divisor of k and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 11*w**2 - 4\/3*w**3 + 0 + 21*w. Differentiate r(a) with respect to a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -15, 9, 5 in decreasing order.\nAnswer: 9, 5, -15, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/110660140 and 71\/276420.\nAnswer: 331980420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -7) + 7 - 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z = 5*b + 20, z = -4*b - 13. Suppose a = -2*d - 13, -3*d + a + 0 = 12. Put -3, d, b, 5 in descending order.\nAnswer: 5, b, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 5*r - 9. Let a(c) = c**2 + 8*c + 14. Give -5*a(m) - 8*t(m).\nAnswer: 3*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8253 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 596005156 and 14.\nAnswer: 4172036092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 59674392 = 5*z, 0*z + 2*z + 5*n - 23869766 = 0. Let h be 3\/(-1)*5844959 + -1. Let v = h + z. Round v to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52 in -5, 2, -7, -0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2)*(-36)\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.14. Let y = 0.44 - g. What is the closest to 2 in -4, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 1)*(-2)\/3. Suppose 2*g = -3*v - 2 - 2, f*v + 2*g = -6. Let 0*j + 1\/4 - 1\/4*j**v = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 330\/(-8))\/((-15)\/(-72)). Are w and 222 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*l**3 - 3690*l**2 - 1056*l = 0. What is l?\nAnswer: -2\/7, 0, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/123 (b) 27268 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 419*g**2*k**2 + 616*g*k**2 - 2*g*k wrt g.\nAnswer: 838*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1633895950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s, -5*v - s + 400 = -0*s. Calculate the common denominator of (-2)\/(-4) - (-1)\/(20\/132) and (6\/5)\/(v\/125).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 2:32 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = -8*b. Suppose 59*h - 86*h + 30078 = b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-104)\/(-160) - 16\/40. What is the nearest to -1 in 2\/13, c, 2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -0.1, 15, 2.53 in decreasing order.\nAnswer: 15, 2.53, -0.1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16461 is divided by 158?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42622 is divided by 102?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 614 + -155. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 6*k**2 - 2*k - 9. Let s be f(-6). Let b be 0\/(s - 2) + 64. What is the tens digit of 1 - b\/(-1 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 260, 331, 404, 479, 556?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -1\/5 (c) -0.05 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 579, 1364, 2461?\nAnswer: 3870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 + 202. Let v = 118 - l. Let k = 48 - -14. What is the remainder when k is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**2 + 2*h - 1. Let x be w(1). Let z(v) = -4*v**2 + 5*v**2 + 0*v**2 - 4*v. Is z(x) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/450 and -167\/600.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 2063\/964 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-5)\/a*a**(2\/5)*(a*a**(2\/5)\/a*a)**(3\/10)*((a**1*a)**(-26))**(-10) assuming a is positive.\nAnswer: a**(25791\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1 + -3 + 3). Let s(g) = 2*g - 4*g + g**2 - v + 5*g. Let a(h) be the first derivative of -h**3\/3 - h**2\/2 + h - 91. Give 3*a(k) + s(k).\nAnswer: -2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53143*k + 1853*k - 9539*k.\nAnswer: -60829*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d. Let t = 17 + -13. Let z be y(t). Suppose -6*n + z = -2*n. Solve -n*i + 16 = 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -35, -2, 433, -1.\nAnswer: -35, -2, -1, 3, 9, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.11 + -0.01. Which is the nearest to 0? (a) i (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 233491\/35 - 6671. What is the biggest value in z, -2\/13, -0.1, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 2\/3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0558 take away -886645997734?\nAnswer: 886645997734.0558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -20 + 26 + -12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 29\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-6)\/(-24)*-28). Solve l = -8*o + 12*o - 2*q + 4, -o + 4*q = -6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/(-2))\/((-1)\/(-2)). Let h = k - -13. Suppose 0 = -4*y + 2*n + 38, -4*y + h + 31 = -n. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2140448.\nAnswer: 2, 66889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-four fifths of a centimeter?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 4*s + 1, -7*x - s + 16 = -3*x. Suppose 5*t - x*t = 26. Let h be -1 + (1*27 - 0). Calculate the highest common factor of t and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8420*p. Let u(o) = 68*o - 1. Calculate q(u(v)).\nAnswer: 572560*v - 8420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1806 and 41308638?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 0.4 (b) 3\/5 (c) 0 (d) 212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23439942 a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -802.1 - -802. Are -225 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 101*f - 7. Let d(r) = -r**2 + 50*r + 3. What is -7*d(n) - 3*o(n)?\nAnswer: n**2 - 47*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 0*x + 0 + 2*x**2 + 1\/100*x**5 + 1\/20*x**4 + 0*x**3. Factor b(u).\nAnswer: 3*u*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d. Let y(u) = u + 5*u - 3*u + 4*u. Determine y(q(i)).\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8610\/13 - 133804\/195. Let f = 24 + t. Which is the closest to -2\/35? (a) -2 (b) 3\/4 (c) 2\/7 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 - 52. What is the lowest common multiple of q and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 17*d**2 + 17*d + 21. Let m be l(18). Suppose 8*o - 15 = m*o. Factor 3*s**3 + 0*s**3 + 0*s**o - 3*s**5.\nAnswer: -3*s**3*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**2 - 105*t - 690 + 10*t**2 - 230*t + 0*t**2 = 0 for t.\nAnswer: -2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4 + 103*n**2 + 2*n**4 - 103*n**2 - n - 7*n**4 + n**3 as z*n**2 + c + f*n**4 + g*n**3 + r*n and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-1)\/(-2) + -57. Let c be i\/(-12)*(-1 - -13). Suppose -c + 1 = -y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06435 or 27\/29?\nAnswer: -0.06435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(7\/5)*o*o*o*o\/(o*o**(-7)))\/((o\/o**2)\/o)**45 assuming o is positive.\nAnswer: o**(503\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 12*y - 10. What is s(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 364840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*p**2 + 2 - 2 + 0 as n*p**2 + m*p + w and give n.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**9\/126 - y**5\/6 - 4*y**2 + 5*y. Let o(l) be the first derivative of z(l). What is the third derivative of o(g) wrt g?\nAnswer: -480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -717 = 345*m - 1340*m + 2268 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2 = -j, 2*j - 4*y - 74 = -8. Suppose 20 = n - 3*a, -j + 5 = -3*n - 5*a. Solve -n = -z - 4*o, 0*o - 4 = -2*z - 2*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7858 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -1 - (-4 - 2). Let t(j) be the second derivative of j**3\/6 - 4*j**2 - j. Let f be t(c). Let q(a) = -9*a**3 - 2*a**2 + 1. Determine q(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/81 and 1\/576.\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 + 13174052*n\/7 + 21694455762338\/7.\nAnswer: 2*(n + 3293513)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 120027422*s**2 - 91714*s - 45857. Let p(n) = -13087*n**2 + 10*n + 5. Calculate 45857*p(d) + 5*q(d).\nAnswer: 6551*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/9 + 26*r**4\/9 + 49*r**3\/9 + 8*r**2\/3.\nAnswer: r**2*(r + 1)**2*(r + 24)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let k(l) = -22. Let h(a) = -k(a) - n(a). Is h(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-5)\/(25\/(-10)))\/14\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 9*d - 88 = -3*x, 4*d + 3*x - 170 = 0. What is the remainder when 479 is divided by d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 122. Let z = -86 - v. What is the greatest common factor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/2223697 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*t = 62, -4*p + 5*t = -5*p - 24. Let f = -19 - p. Suppose 2*y + y = f. Solve y = -2*i - i - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**14*m)\/((m\/(m\/(m\/(m**(-21)\/m*m))*m))\/m*m) assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.240449 centuries in months?\nAnswer: 1488.5388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 561*w**2 - 3955*w - 188. Give k(7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 408\/255*(-5)\/124?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4658311297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -531*z + 1. What is t(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1094221, -1094329, -1094437, -1094545, -1094653, -1094761?\n\"Answer: -108*y - 1094113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*c = -6, 4*m = -6*c + 5*c + 24. Put 2, -1, -5, m in ascending order.\nAnswer: -5, -1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2. Let r be -1 + -4 + 8 + -1. Let n(i) = 4*i**2 - i**2 - 3*i**2 - 2*i**r. What is k(n(g))?\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265317 and 7254?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26020 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1664 and 442.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (127 + 10 - 17)*(4*n + 0*n - 3*n) as a + v*n and give v.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8 = -b, -3*b = -4*x - 7*b. Let p be (x\/2)\/(1\/(-1)). What is the second derivative of -3*j**2 + j**p + 0*j**2 + 4*j + 0*j wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 21.4, 0.71, -3\/5, -1\/6, 0.5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 8*z**2 + 18*z - 21. Let q be m(-10). Let w be (q\/(-2))\/(5\/(-20))*-6. Solve -4*g = -5*l - w, 2*g - 6 = -0*g + 3*l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + y**2 + 0 + 1 + 1.\nAnswer: y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1213*z**4 + 2968 wrt z.\nAnswer: -4852*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -352, -578, -784, -964?\nAnswer: -1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1178*j + 1173*j = 40 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 100*f**2 + f - 119?\nAnswer: 200*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in 1\/8, 9\/5, 0, -2\/3?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00133848 rounded to 5 decimal places?\nAnswer: 0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 28.55929552 + -0.146065\nAnswer: 28.41323052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 7360 = -1068. Find the common denominator of 17\/6 and (3\/36*2)\/((-56)\/r).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -75 + -400db?\nAnswer: -40172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -567?\nAnswer: -1134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 4. Let r be 4*(-2)\/8 + -6. Calculate f(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2302988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**5\/120 - 13*h**4\/192 + h**3\/16 + 24*h**2. Factor l(y).\nAnswer: (y - 3)*(4*y - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + sqrt(3)*-1 + (1*sqrt(15)*1)\/sqrt(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 35261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = 2*o - 1230. Let x be 57\/21 + o\/287. Solve -5*p = -x*y + 16, -4 = y + 2*y - p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1\/105 (c) 1.378\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + 3*a + 0*a)*(-325*a**2 + 203*a**2 + 162*a**2) + 4*a + a**3 - a - 4*a - 5 to f*a**2 + t*a**3 + s*a + p and give t.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/(-2)*2*-4. Let a = -52 - -64. Calculate the greatest common factor of a and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5016*u + 5014*u = 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5242296 divided by -8?\nAnswer: -655287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 4*r**2 + 2*r - 6. Let i be (-4 + 3)\/(1\/(-4)). Let a(z) = -15*z**3 + 75*z + 17 - 80*z - 11*z**2 + 13*z**3. Give i*a(j) + 11*m(j).\nAnswer: 3*j**3 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 1\/4 (b) -0.06 (c) 0 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35762 divided by 17881.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhjjjhjj. Give prob of picking 2 h and 1 j.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11417161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 - 85. Factor 0 + 2\/7*w**p + 0*w.\nAnswer: 2*w**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -64142, -258798, -583226, -1037426, -1621398?\n\"Answer: -64886*u**2 + 2*u + 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115714437 to the power of 1\/3, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-27)\/2)\/(21\/(-28)). Suppose 17*c + 535400 = s*c. What is c rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10 + (-9)\/(-1080)*-4.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 14*3\/(-6)*-1. Suppose -t*p - 2*p = 30. Is -11 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -2 + (29 - 13) - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41158 by 22.\nAnswer: -20579\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 452 - l + l**2 - 452. Let d be v(-1). Suppose 0 = -0*u + d*u + 2*w, -4*u + 3*w = 14. Which is bigger: -16\/9 or u?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33425341 or -33425352?\nAnswer: -33425352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 (base 13) in base 7?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 68 - 9 = 2*n, -p + 155 = 5*n. Let o = n - 16. Suppose 10 = 5*y - 5*h, 0 = 79*h - 82*h. Calculate the lowest common multiple of y and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -258030 or -258031?\nAnswer: -258031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -6. Solve 2*m - n*a = 20, -4*m - 10 = 3*a - a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235041?\nAnswer: 3, 78347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.1288 and -888.4.\nAnswer: -889.5288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-4*3)\/(-4). Suppose 2*x - 27 = 109. Suppose -3*y = o + 4*o - x, k*o + 3*y = 52. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - g + 27. Calculate c(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 174619844.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 6*b + 10 + 30 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12355 (base 7) to base 11.\nAnswer: 2507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 10\/3*o**3 + 0*o**2 + 0*o**5 + 0*o**4 + 0 - 17\/30*o**6 + 17*o. What is the second derivative of n(w) wrt w?\nAnswer: -204*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -33 + i**2 - 38*i + 207 + 187 = 0. Calculate i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22297, 212338, 728157, 1732642, 3388681, 5859162, 9306973, 13895002?\nAnswer: 19786137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 6:37 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 298?\nAnswer: -2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -31*i + 73. Solve i*m + 14 = -d, 3*m + 2*m + 3*d + 37 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.7, 4\/7, -5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -3*j + 16, -5*u + 0 = j - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*s + 59*s + 4*w + 46 = 103*s + 5*w, -4*s - 5*w - 15 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**5\/7 - 1412*v**4\/7 - 16116*v**3\/7 + 36452*v**2\/7 - 2704*v = 0. Calculate v.\nAnswer: -13, 0, 1, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**3 + p**2 - p - 2. Let q be b(2). Let s be -50*2\/q*12\/60. Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -29\/3*l**3 + 0*l**2 - 13\/4*l**4 - 18 + 0*l. What is the third derivative of a(k) wrt k?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - (22 + 1)) + 30.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 14.1. What is the closest to m in 0.3, 26, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 72*v**2 - 4*v + 1. Let z(n) be the first derivative of n**4\/4 - 23*n**3\/3 + 41*n**2\/2 + 22*n + 5. Let l be z(21). What is the tens digit of o(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8301*n - 8364*n + 630 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1, 0, -0.011431, 13 in descending order.\nAnswer: 13, 1, 0, -0.011431, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 3*g = 21 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5*j + 3 + j)*(j**2 - 3*j**2 + j**2).\nAnswer: 4*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1797?\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.668 rounded to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2032166 (base 7) in base 8?\nAnswer: -733124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**2 + 2*d + 2. Let q = 4456 - 4415. Calculate the remainder when q is divided by k(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w**3 + 2*w**2 + 13*w + 21. Let x(p) = -9*p**3 + 5*p**2 + 26*p + 49. Give 5*i(v) - 2*x(v).\nAnswer: -2*v**3 + 13*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one halves of a century?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k + 10. Let d(i) = 17*i + 29. Let m(n) = 4*d(n) - 11*s(n). Let h be m(12). Calculate the highest common divisor of h and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-21))\/(2\/14). Suppose -29 = -3*s + 25. What is the greatest common divisor of s and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 41.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-224)\/(-927) + (-6)\/27. Let w = 317\/412 - d. Which is the nearest to -2? (a) w (b) -2\/3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/3*(1 - 5\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(19) + -5 - (sqrt(76) + 1))**2 + (1 + sqrt(475) - sqrt(475))*1.\nAnswer: 48*sqrt(19) + 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 249 and 275 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 7180 (b) -1\/4 (c) -2.67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - f = 63. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -3, -0.5 in ascending order.\nAnswer: -3, -0.5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-10)*60\/(-105)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -5 (b) -1 (c) -4 (d) 1478.8 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5*g + 7, -2*v - 4*g - 2 = -0. What is the nearest to v in -0.3, 1\/121, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255079729?\nAnswer: 23, 109, 101747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4274943, 4275083, 4275225, 4275369?\nAnswer: 4275515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 178122696\nAnswer: 1\/59374232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) 0.3 (c) -5\/13 (d) -2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 295 - 297. Let w(t) = -t**3 + 14*t**2 + 16*t - 15. Let i be w(15). Sort 3, 4, c, i in decreasing order.\nAnswer: 4, 3, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1807, -2155, -2735, -3547, -4591, -5867?\nAnswer: -7375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/7, 6\/95, -1, 13, -3?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1982128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204268174 a multiple of 2186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 9:05 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19575914641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89882138*u**4 + 391885572*u wrt u?\nAnswer: -1078585656*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Suppose -2*l = -2*q - 4*l + 36, -i*l = 4*q - 69. Calculate the remainder when 41 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 equal to 1\/1031706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 2*q**2 + 14 - 21 - 2*q**4 - 3*q**3 - q**4 + 3*q**3 + (q + 0*q - 2*q)*(-q**3 + 5*q**3 - 6*q**3).\nAnswer: -q**4 - 2*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1297.3 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 253, 745, 1565, 2713?\n\"Answer: 164*z**2 + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4)*(0*s + s - 3*s) - 4*s - s + 3*s + (0 + 5 + 4)*(s - 2*s + 0*s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 - 1. Let d be (-13)\/18 - (-2)\/4. Which is the nearest to z? (a) 2 (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 29, -0.05, -1, -5, -4\/9?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6637 + 2209 - 193*u**4 + 2220 + 2214 + 2*u**2 to the form p*u + t*u**4 + s*u**2 + h*u**3 + j and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5330 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 815469 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: In base 8, what is 23 - 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + 5*n**2 - 5*n**2 + n**3 - n**3 + n**3 + (3*n**2 - n**2 + 0*n**2)*(-3 + 3 + 2*n) + 14*n + n**2 - 2*n**2 + 229*n**3 - 235*n**3.\nAnswer: -2*n**3 - n**2 + 14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5354 - 3224 + 398 = 409*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 66*n - 310*n = -1810. Let b(r) = 25*r - 2. Let p(a) = 13*a - 1. Calculate n*p(c) - 3*b(c).\nAnswer: -10*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Let h be (16 - 15)*-1*(-37 + -2). Let v be 14\/(-42)*45\/h. Which is smaller: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t + t + t)*(-2*t**2 + 3 - 3) + 3*t**3 - t**3 - 3*t**3 - 2*t**3 - 3*t**3 + t**3 as a*t + o*t**2 + l*t**3 + d and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -1723?\nAnswer: 1729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = -53*v - 11*v - 66. Let q(b) be the first derivative of 0*b**3 + 18 + 0*b - v*b**2 - 17\/4*b**4. What is the second derivative of q(k) wrt k?\nAnswer: -102*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 - 10*u\/7 + 4.\nAnswer: -2*(u - 2)*(u + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -699\nAnswer: -699.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 280, 563, 868, 1207, 1592, 2035?\n\"Answer: 2*r**3 - r**2 + 272*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*t**2 - 434\/5 - 432\/5*t.\nAnswer: 2*(t - 217)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1265 - -1283. Let u be 3\/(-6)*1*-8. Sort u, 1, -4, d.\nAnswer: -4, 1, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9828 and 1008?\nAnswer: 39312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**2*l**2*w + 10*h**2*l*w**2 - 5*h*l**3*w + 184*l**3*w**2 - 73*l**2*w - w**2 wrt w.\nAnswer: 20*h**2*l + 368*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 8:38 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*s - 8*s + 1 = 0, 0 = -4*f - 4*s. Suppose 2*m + 60 = -2*m. Let n be (4\/6)\/(35\/m). Which is the closest to f? (a) 0.2 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a hour in minutes?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.25624 - -0.55624. What is the fourth biggest value in -2, l, 2, -4, -280?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.2 in 3\/14, 4, -28, -69, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 541416 and 10744.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 2*j + 3. Let p be u(-3). Solve 3*d + n = -8 - 5, p = -4*n - 16 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -446571*p**6 - 221*p**2 - 1089*p wrt p.\nAnswer: -53588520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (1255\/20)\/((-2)\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {k: 4, f: 10}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 14*u**2 - 73*u - 13. Let z be l(-18). Suppose z*a - 3*a - 831 = 3*k, 0 = -5*k + 3*a - 1384. What is k rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 0 + 1\/24*y**4 + 0*y + 0*y**3 - 15*y**2. Let p(s) = 2*s**2 + 6*s + 2. Calculate -p(m) + 2*v(m).\nAnswer: -2*m**2 - 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/3, 1\/246, -1\/6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58.6 + 59. Let t = -12.03 + 12. Let x = t - 0.37. Which is the smallest value? (a) d (b) -21 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 963951199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -138843*y - 43596696. Calculate o(-314).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(2 + 0 - 5)*(-3 - 3 + 1)*(-532*t + 532*t + 2*t**4 + 2*t**3).\nAnswer: -60*t**4 - 60*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10447643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 388, 891, 1596, 2503?\nAnswer: 3612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - 24*h + 18*h + 10*h + 16*h.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (735\/42)\/((1485\/(-126))\/(-33)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.2 + -7.1. Which is the second smallest value? (a) 3\/2 (b) -21 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 198526095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 8. Determine w(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4 - 1 = -k, 4*k - 2*h - 32 = 0. Suppose -28 = -k*n + 28. Calculate the greatest common divisor of 32 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + -1 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 2*d + 3*t, -69*t - 711 = d + 52 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 137 - 81. Suppose 4*j - s = -5*s + h, 2*s = 4*j - 38. Let y = j + 4. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzki when four letters picked without replacement from {k: 2, x: 1, i: 6, z: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Let z(l) = -47*l**2 + 4*l + 47. Let n be -4 - -1 - (0 - 7). Let t(o) = n*p(o) + z(o). What is the derivative of t(k) wrt k?\nAnswer: -94*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6077\/84 + -500\/7. What is the common denominator of g and (-34)\/44 - (-1 - -2)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8901806*k*p**2 - 5511678*p**2 wrt k.\nAnswer: 8901806*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1930.7777185 to zero dps.\nAnswer: -1931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 3\/16*b**4 + 1\/40*b**5 + 22\/3*b**3 + 0*b**2 + 1\/720*b**6 + 0 - 20*b. Let i(r) be the second derivative of v(r). Factor i(y).\nAnswer: (y + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = p - 1150, -47*p = -4*n - 51*p + 2304. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 56*j**3 - 4*j**2 - 3*j. Let p be f(-2). Let x be p\/(-3) + (-1)\/(-3). What is the common denominator of 62\/5 and x\/15*-1 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11200 (base 4) to base 9\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -444438 or -544?\nAnswer: -544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 66. Let u = -23 - h. Solve 5*z = -5*i + 40, u*z = 2*z + 3*i - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-90) - (-722)\/15. Calculate the highest common factor of 192 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16785621\/4 not equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 5*m - i, 2*m = -25*i + 19*i - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 1806.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 - 5*w**2 - 2 - 2*w**2.\nAnswer: -4*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) - ((-1 + sqrt(75))*-4 + sqrt(75))) + sqrt(75))**2 + 2*(-1*sqrt(75))**2 + ((2 + 3 + sqrt(75) - sqrt(75))*-2)**2)*6.\nAnswer: -1200*sqrt(3) + 12846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71688 and 24.\nAnswer: 71688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -2\/5*p**2 + 0*p + 36 - 2\/5*p**4 + 2\/25*p**5 + 2\/3*p**3. Find c, given that h(c) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 + 54642 - 54642 - g + 51*g**3 as y*g**2 + c*g**3 + r + b*g and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 19*d - 647. Let b = d + -39. Solve -7*k = -b*k - 5*s - 25, -k = -s - 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 + 2*d - 26. Let y(k) = 4*k**2 + 4*k - 18. Calculate -6*t(o) + 5*y(o).\nAnswer: 2*o**2 + 8*o + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**4 - 26*g**3 - 23*g**2 - 2. Let w(j) = 2*j**4 - 27*j**3 - 24*j**2 - 3. Let d(q) = 2*w(q) - 3*z(q). Find the third derivative of d(i) wrt i.\nAnswer: 24*i + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*sqrt(126)\/sqrt(2) - (5*sqrt(28) - (-2 + 1 + sqrt(7)))).\nAnswer: -18*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -4766406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -3*t + 8*t. Let v be 4\/t + (-400)\/(-22). Let s = v - 7. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14040 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 0*r**4 + 23\/40*r**6 + 0 + 0*r - 119*r**2 + 0*r**3 - 31\/30*r**5. Find the third derivative of p(w) wrt w.\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -35*m**3 - 14*m**2 + 14*m + 14. Let j(o) = o**2 - o - 1. Calculate 14*j(s) + z(s).\nAnswer: -35*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -32962200 divided by 439496\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 155 = 53. What is the highest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 44628, 89241, 133854, 178467, 223080, 267693?\n\"Answer: 44613*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7839*k - 188124. Let q be y(-24). Factor 0 - q*j - 1\/2*j**2.\nAnswer: -j*(j + 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 5\/132*n**4 + 7\/22*n**2 - 34 + 1\/220*n**5 - 13\/66*n**3 - 30*n. Let o(j) be the first derivative of x(j). Factor o(z).\nAnswer: (z - 1)**2*(z + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -54*m + 51*m. Solve -4*l + g = 3*g, -m*g - 2 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k = -24. Let r(l) = 154*l - 4927. Let t be r(32). What is the second biggest value in -5, -2, t, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108014461*l**3*s**3 - 3*l**3*s - 25*l**2*s + 868289*s**3 - 2 wrt l.\nAnswer: 648086766*s**3 - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 14. Let o(m) = 2*m - 14. Give -4*o(c) + 3*s(c).\nAnswer: -2*c + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/10 + -2)*(105\/(-15) + 7). Solve -18*n - 71 - 19 = o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b = 18*b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a - 7. Let z(w) = 11*w + 14. Let x(l) = 13*s(l) + 6*z(l). Give x(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244833?\nAnswer: 3, 81611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 72 = 136 - 154. Let y(n) = -6*n**2 - 3*n + 5. Let j(h) = 11*h**2 + 5*h - 10. Give u*y(a) + 3*j(a).\nAnswer: 3*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 216.7 times 23.026\nAnswer: 4989.7342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86225376 to the nearest integer?\nAnswer: 9286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from clcxxxtllllttxt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -206?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - -0.62. Let j = k - 2.6. Let x(f) = -2*f + 3. Let u be x(2). Which is the nearest to 0.1? (a) j (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-519)\/9 + 4\/6. Let r = z + 82. Let g = r - 6. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvm when three letters picked without replacement from {m: 7, v: 9, i: 1, f: 1}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 10*m - 10. Let f be (192\/(-512))\/(9*(-2)\/m). Sort -41, 1\/2, f.\nAnswer: -41, f, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = u + f - 14, 4*u = -5*f + 41 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 - 6*m + 7*m - m - 28*m**3.\nAnswer: -31*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -921 - -919. Let d = 2\/47 - 108\/329. What is the nearest to d in z, 5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 9*n - 9. Suppose -7 = -u - 0*u. Let y be q(u). Suppose -2*j = -y*j. Solve 4*l - 3*b = j, -5*l - 4*b = -0*b + 31 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11562\/25 - ((-662)\/(-1986))\/(25\/6). Factor 18\/5 + 408\/5*q + h*q**2.\nAnswer: 2*(34*q + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 8*n + 16. Suppose 17*t - 21*t = 4*g - 36, 5*t = 5*g + 25. Calculate a(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -6*c**5 + 40*c**4 - 96*c**3 + 108*c**2 - 58*c + 12 = 0.\nAnswer: 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06371 + 0.04629. Let a = 2\/169597 - -31204978\/73774695. Let o = 2\/87 - a. Which is smaller: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y - 34. Let h be u(-18). Let j be (-1 - (5\/h)\/(-5))*24. Let o be (-3*(-2)\/j)\/((-2)\/20). What is the nearest to -1 in 1, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*u + 4, 4*i - 4*u = 5*i + 2. Let o(b) = b**3 - 6*b**2 - b + 11. Let g = 199 + -193. Let z be o(g). Put z, i, -4 in increasing order.\nAnswer: -4, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117 + 223. Suppose 0 = -0*y + 5*y - 180. Calculate the remainder when r is divided by y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -28\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24381 divided by 301?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 8*t**2 + t + 7. What is u(4)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4. Suppose q = -2*f - 2*f + 16. Let h be (-1)\/6 + (57\/(-18))\/(-1). Solve 0 = h*i + i + f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*o + 10*q - 21 + 96 = 418*o, -4*o - 5*o - 2*q + 55 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 37*a**2 - 67*a - 35. What is the smallest common multiple of d(35) and 40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82\/123*-22*3\/4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u - 7*u + 21*u + 58*u - 2.\nAnswer: 66*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3399470663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify d**3*d*d**(-1\/2)\/d*d**(-3\/5)*(d*d*d**(-4)*d)\/d assuming d is positive.\nAnswer: d**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - o + 159 = 0, 0 = 5*o - 8 - 7. Let c = k + 560. List the prime factors of c.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5062?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + -9 - 695490\/(-50190)?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9022 - 9022 + 53584*k**2 + 2*k**3.\nAnswer: 2*k**3 + 53584*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-36) + (-88)\/(-9). Let u = a + 0. Let q = u - 7. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1104 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 36176419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**3 - 10*r**2 + 214*r - 349. What is v(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 337768980 to the nearest integer?\nAnswer: 18378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -2, -3.6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-84)*(-210)\/(-36))\/((-12)\/(-2))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.843 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4267107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 1)*(-18255 + 18255 + 224*b).\nAnswer: -672*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2408\/3 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -74b0 (base 12) to base 4\nAnswer: -3020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 800735267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.618 + 2.382. Sort -2.257, a, -1, 1 in increasing order.\nAnswer: -2.257, -1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4443 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185876 and 31124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 434881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*h + 5 = 81*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from ccxnnrcxrncnnnrcxnx?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 + 148. Sort h, 4, 0 in decreasing order.\nAnswer: 4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -7, 2 in ascending order.\nAnswer: -29, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -937, -7545, -25495, -60457, -118101, -204097, -324115, -483825?\nAnswer: -688897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 3447.\nAnswer: 6894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9 + 6.1. Let y = -215.952 + -0.048. Let i = y - -213. What is the smallest value in 1\/6, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 5*w - 183 = 0, -3*r + 267*w - 146*w = 136*w - 588 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/((-30)\/(-8)))\/(4\/10). Let d(k) be the first derivative of 0*k - 5\/2*k**2 + z. Let v(r) = 2*r**2. Calculate v(d(y)).\nAnswer: 50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332 + 109 = -23*f + 168 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - -2. What is the remainder when 37 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11715 + -5234. What are the prime factors of m?\nAnswer: 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 11. Let u(d) = d - 6. What is 3*h(s) - 5*u(s)?\nAnswer: 4*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*g - 7*g**2 + 16*g)*(5*g - 5*g - 2*g**2) + (3*g - 4*g - g)*(-5*g**3 + 3*g**3 + 3*g**3).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1148 + -0.06229\nAnswer: -1148.06229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189347 is divided by 247.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 398775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 184*z + 2431. What is the remainder when k(-12) is divided by 63?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**2 - 104783012*x + 209566040 = 0?\nAnswer: -26195755, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 81.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 92562332 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2032606, 2032583, 2032542, 2032477, 2032382, 2032251?\n\"Answer: -j**3 - 3*j**2 - 7*j + 2032617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/14)\/(((c*c*c**(2\/37))\/c)\/c) assuming c is positive.\nAnswer: c**(9\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (72\/60)\/((-6)\/(-40)). What is the third derivative of 0*g - 40*g**6 + 2*g**2 + 17*g**3 - t*g**3 - 6*g - 8*g**3 wrt g?\nAnswer: -4800*g**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (9 + 1 + -8 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -82, -113, -144?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70924231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 88282111319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17320 + 17324. What is the closest to -0.1 in a, 1, 0.16, 3\/8?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*w**2 + 3 - 5 + 175*w**2 - 196*w**2.\nAnswer: -127*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13587469?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + y - 7, -8 = 114*w - 111*w - y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 820311*b - 820287*b + 20.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 4*d + 36. Let v(p) = p**3 - 5*p**2 - 4*p - 3. Let z be v(6). Calculate the highest common factor of z and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31704.7 to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14320 divided by 5?\nAnswer: 2864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4087 >= -4087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 194627241\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + x - 44. Suppose x = 2*t + 3. Solve t = -5*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**3\/3 + 3*s**2\/2 + 3*s - 1. Let p(k) = k**3 + 13*k**2 + k + 18. Let v be p(-13). Is l(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.053 + 33.947. Let u = 33.999995 - m. What is u rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.42271 and -15.\nAnswer: 6.34065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -789366?\nAnswer: 7893.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i - 29. Let m(v) = -7*v - 30. Determine 4*m(o) - 5*y(o).\nAnswer: 2*o + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6797 divide 2508983407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 28?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 19961376521.\nAnswer: 19961376523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6255967, -25023886, -56303755, -100095574?\n\"Answer: -6255975*s**2 + 6*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3340 and 500900.\nAnswer: 83650300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, 11, -3, -0.4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 3:16 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38724 and 2766?\nAnswer: 38724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**4 - 5*d**2 - 2. Let x(w) = 1 + 3*w**2 - 8*w**4 + 9*w**4 - 2*w**2. Let h(c) = -b(c) - 2*x(c). What is the third derivative of h(i) wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182.967 - -1.833. Let h = v + -130.7. What is h rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-7))\/(-2) - (-20)\/35.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 5*z**4\/12 - 155*z**3\/6 + 75*z**2 - 1189*z. Factor l(x).\nAnswer: 5*(x - 30)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((32\/(-10))\/((-54)\/405))\/((-9)\/6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 3:34 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = 3*c + 1, 3*c + 59 = 5*o. Is (-5)\/((-25)\/o)*(-12867)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3508 = -299*c + 295*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 103 + 3*p**3 - 107 + 0*p**2 - 2*p**3 - 4*p**4 to the form l*p + o*p**4 + t*p**2 + d + z*p**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -114368, -115093, -115818?\n\"Answer: -725*d - 113643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 39*g = 582781 + 331559. Is g a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1429659.\nAnswer: 3, 7, 11, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*t - 554, 4*r + 64*t = 67*t + 1102. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/3, 64\/2125, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12950, -12929, -12906, -12881, -12854?\nAnswer: -12825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 112 + 142 - 79 = -3*x - 5*s, 4*x = -3*s + 77 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*i, i = 69*y - 65*y. Let a(v) = 2*v - 2 - 6*v**2 + 0*v + v + y*v + v**3. Give a(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.039, 0, -5, -6\/11?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93005 is divided by 23245.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Let d be -1*(u - 3)*0. Let x(m) = 3*m**2 - m + 1. Let y(s) = -7*s**2 + 3*s - 1. Let q(h) = -5*x(h) - 2*y(h). Calculate q(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 5*y + v + 31889, 2*y = -5*v - 12728. What is y rounded to the nearest one hundred?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14496 - 50025694\/3451. Let j be ((-12248379)\/(-103530))\/13 + -2. Let g = j - x. Find the common denominator of g and 119\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143 - -105. Let u be 19\/o - 5\/(-2). Solve v = -0 - u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l - 39 = 33*l. Suppose l - 14 = 5*o. Solve -9*m**3 - 10*m**3 + 4*m**o + 4*m**4 + 15*m**3 - 4*m**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**6\/120 + c**5\/60 + c**4\/4 + 361*c**2. Factor s(b).\nAnswer: -b*(b - 3)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*z + 72. Suppose y = -h + 2, 1 = -3*y - 5*h + z. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 33*n**2 - 110*n - 44. Determine p(-36).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + f + 717 - 718, 0 = -t - 3*f - 4 + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837907 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 23 = -2*d. Let a(k) = -4*k + 3. Let r(h) = 9*h - 7. Let c(s) = d*a(s) - 3*r(s). Let g(b) = -12*b**2. Calculate c(g(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1504*h + 308000 = -7664*h for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + j**2. Let z(w) = -2*w**3 - 12*w**2 - 2*w - 7. Let u(m) = -3*m**3 - 13*m**2 - 2*m - 8. Let q(f) = -6*u(f) + 7*z(f). Give -q(k) - 6*r(k).\nAnswer: 2*k**3 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42027865 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.06 (b) 16 (c) 1\/19 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(566\/(-56) - -10). What is the smallest value in 0.14, 0.4, l, 0.5?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/12 + 0 + -27*74\/1332.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k**2 + 146*k + 52. Let s be d(-24). Suppose 2*z + q = -0*z + 97, 2*q = -5*z + 242. Let v = z + -28. Solve h = -s*h + v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22654805.\nAnswer: 5, 101, 113, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -1)*(3 + 2). Let o = -0.0066 - -2.8306. Let f = o - -0.176. What is the closest to 0 in 1, f, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 2)*3.\nAnswer: 6 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 52 = -13*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2244.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 3 - 129*b**3 + 10.\nAnswer: -129*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/4 and 11\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3 = -m, 2*m + 37 = 11*h - 14*h + 7*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3036 and 3825228.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 2. Let n be y(4). Suppose 2*i - n = 4. Suppose -4*l + i*u = -6 - 1, -3*l - 2*u = -34. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.9475 centimeters to millimeters.\nAnswer: 59.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -16. Suppose -o*r - 8 = 2*g + 12, 0 = -r - 5. Solve g*u - 3*u - 15 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2593307?\nAnswer: 1091, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 75671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uv when two letters picked without replacement from {v: 3, u: 5, z: 4}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1281 - 3842\/3. Let o = 23 - 12. Let d = o - 15. Which is the closest to 2\/7? (a) -2\/5 (b) d (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -63*i**3 - i**2. Calculate o(-1).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 552 - 301. Let k = i + -112. Let l = 138.26 - k. Round l to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6341, 5641, 4941, 4241?\n\"Answer: -700*i + 7041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(13 + 8 - 23 + 15*m**5).\nAnswer: 15*m**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 704 = 5*x - 1101. Let v = x + -816. Let k = v - -709. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + t + 4. Let g be b(0). Suppose -3*y = -g*h - 96 - 61, 0 = 2*y + h - 112. What are the prime factors of y?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 12. Let u be r(12). Solve -4*q + 20 = -u*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -46*g**2 + 16*g**2 + 20*g**2 + 7*g. Let f(o) = 3*o**2 - 2*o. Calculate -7*f(q) - 2*v(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -45*b**2 + b. Let v(k) be the third derivative of k**4\/6 + 540*k**2. What is v(s(y))?\nAnswer: -180*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26\/116*(-56)\/(-364)*(-5 + 6)\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - -4. Suppose 0 = -2*t + 12. Calculate the lowest common multiple of t and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 11. Let k = q + 9. Let t be 6\/(-3)*k - 2. Solve t = l - 0 - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(c\/(c\/(c**(-1\/4)*c))))))**(-6)*c**(-2)*c**(-1\/3)\/c*((c\/c**5)\/c*c**(2\/5))\/(c\/(c*c\/c**(1\/2)))**(-32) assuming c is positive.\nAnswer: c**(-763\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*t**3 - 69*t**2 wrt t?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25218204 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41\/3 - -13. Let j = -1.97 - 0.03. Let k = j + 6. Which is the third smallest value? (a) z (b) 0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5932177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 37702.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0099025 rounded to four decimal places?\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9818616.\nAnswer: 2, 3, 37, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from gxxxmxcbx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f. Let g(l) = 42*l. Determine g(w(x)).\nAnswer: 42*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**5*q**(3\/2)*(q\/(q*q**(1\/6)))\/(q*q**6))\/((q**1)**20\/((q*q**(-5\/3))\/q**(1\/4))) assuming q is positive.\nAnswer: q**(-367\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*a - 282, -3*m - 74 = -a + 20. Suppose 0 = -5*k + 3*j + 86, 2*j - 8 = 6*j. Calculate the remainder when a is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10315243 (base 8) to base 13.\nAnswer: 5c152a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(48\/54) - (-1)\/2. Suppose o*a - 99 = n, -4*a = 6*n - 2*n - 60. What is the remainder when a is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -351 + -662411?\nAnswer: -662762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257588, -257588, -257602, -257636, -257696, -257788, -257918?\nAnswer: -258092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 15*s**2 + 15*s - 12. Let h be j(-16). Let y = h + 1. Solve -4*n + 2*q = 20, y*n - 3*q = -25 - 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 7*d + 0*d)*(2*d**3 + 2*d**3 - 5*d**3) + 3*d - 3*d + d**4 in the form n*d**3 + f + w*d + u*d**2 + p*d**4 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 105 + 173 = 0. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0 + 0)*(1 + 4 - 4) + 0*w + 2*w - 4*w + 3*w - 2*w - 3*w + 19 + 6*w - 19.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of ((-22)\/(-5))\/((-4)\/(-160)) - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 - 664*o\/7 + 666\/7.\nAnswer: -2*(o - 1)*(o + 333)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.863 + 0.323. Let j = v - -2.6. Put j, -0.3, 3 in increasing order.\nAnswer: -0.3, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/14)*a*a*a\/(a*a\/(a*a**(-2)*a))*(a*a**(1\/9))\/a**(-5\/6))**(-32) assuming a is positive.\nAnswer: a**(-5504\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r - 183. Let n(x) = 6*x + 178. Give -4*n(i) - 3*q(i).\nAnswer: -6*i - 163","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + -0.5. Let u = -1.2 - s. Let y = u + 0.5999997. What is y rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 - 56. Solve 7 + 8 = -a*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 10*j - 40. Let q be i(5). What is the highest common divisor of q and 120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = b + 4. Let f be b\/(2 + (-22)\/10). Suppose 0 = 2*h - g - 2 - 0, -5*h + 2*g + f = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 304183884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 40) + -208 + 266.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -34801, -29485, -24169, -18853, -13537, -8221?\n\"Answer: 5316*k - 40117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00079878 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 6*b**2 - 8*b - 15. Let a be y(-5). Suppose a = -2*u - 4*q - 2 + 10, 4*u - 2*q + 4 = 0. Is 2 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -3616347823.\nAnswer: -3616347826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5035 - 2135 = 0. Is v a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2. Let w(j) = -2*j + 209. Calculate w(t(x)).\nAnswer: -2*x**2 + 209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**2 - 38*f + 26. Give z(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -4*s**4\/3 - 68*s**3\/3 + 35*s - 21. Let f(j) be the first derivative of r(j). What is the second derivative of f(b) wrt b?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8880 - 1035. Let p(j) = -7838 - j**2 + t + 0*j**2 + 3*j. Calculate p(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(243) + sqrt(3) + sqrt(147) + 1*sqrt(147))*-3)**2 + ((sqrt(90) + 2*sqrt(90) + sqrt(90))\/sqrt(10) - sqrt(9))\/(3*sqrt(363) + sqrt(363)).\nAnswer: 3*sqrt(3)\/44 + 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**9*n)\/((n\/((n*n*n**(-9)*n)\/n*n))\/n))**50 assuming n is positive.\nAnswer: n**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 8:18 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 11*p**4\/4 - 6*p + 10. Let w(n) = 14*n + 3. Calculate t(w(q)).\nAnswer: 6468*q**2 + 2772*q + 297","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 38148 + -23900. What are the prime factors of j?\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 58 - 58 + 6*t - t**2. What is f(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**3 - 7*u**2 - 12*u - 30. Give a(-4).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -21. Let i = f - 18. Is (-10)\/(-15) + 458\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 10032.\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 1. Suppose 4*j + k = 2*p + 26, 0 = 3*j - p - 18. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 116 = 3*v. Let y = v - 24. Factor -4*k + 4*k**3 + 19*k - 3 - 12*k**y - 9*k**2 + 5*k**3.\nAnswer: 3*(k - 1)**2*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1592520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 35. Let j be 4*q\/(-4) + 0. Suppose 2*v = 5*o + 10, -2*o = -4*v + 3*o + j. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 40992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 51. Let c be (-6)\/w + 32\/12. Suppose 3*p + 513 = -2*z + 1279, -2*p + 494 = -c*z. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - 7\/(10 - 3). Suppose 12 = 4*r - r. What is the third derivative of -3*a**2 + a**2 + 8*a**2 - r*a**4 + x*a**2 wrt a?\nAnswer: -96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + sqrt(11) + 3.\nAnswer: -5 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/((-5)\/(-75)). Let v be (-2)\/5 - 7\/o. Is v - 26*(-9)\/6 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 13 = 80. Calculate the remainder when z is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 38*l + 44*l - 86*l - 48*l**3 - 180*l**3 + 45*l**3.\nAnswer: -183*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/5 (b) -222 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*l + 286, 15*i - 19*i + 164 = 2*l. Calculate the smallest common multiple of l and 112.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1178312*z**3 - 3703345*z**2 wrt z.\nAnswer: 7069872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2301120, -2301123, -2301126?\nAnswer: -2301129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 + 6*f. Suppose 0*a - 21 = -7*a. Suppose -3*u + a*o + 14 = 5*o, 5*u - 22 = -2*o. Determine d(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/6 and -28\/69.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2 - 2*d - 2. Let b(y) = 9*y**2 + 3*y + 4. Let o(j) = 3*b(j) + 7*h(j). Give o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.006? (a) -52\/7 (b) -2\/15 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08840997 to three dps.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 197 + 83. Let x(z) = z**3 - 7*z**2 + 4*z + 7. Let c be x(7). Let p = 42 - c. What is the greatest common factor of d and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 22 = -5*h - 8, 3*a = -h + 6. Solve 2*t + v = t, -t + 6 = a*v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odooolcodoodocdoooo. What is prob of sequence olol?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343978 is divided by 114649?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9832 + 9856. What is the least common multiple of g and 258?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-7) - 20\/175. Which is the fourth smallest value? (a) 2\/3 (b) g (c) 0.3 (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57461.33ng to kilograms.\nAnswer: 0.00000005746133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13102 + -13098. Let g = 1 - 4. What is the nearest to -1 in g, f, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1068778?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10235803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2475 divided by 974\nAnswer: -2475\/974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millisecond in microseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -24*c. Let y(l) = -26*l - 27*l + 52*l. What is y(g(r))?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*f - 50, 3*f + 93 = 5*t - 2*t. Calculate the highest common factor of t and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/((-1400)\/(-125))*8\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.77 - 0.23. Let s = 5 + g. Suppose 157 + 59 = 72*r. Which is the third smallest value? (a) -3\/11 (b) s (c) -0.4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 4)*(221*o - 182*o - 184*o)*(0 + 0 - 2)*(-5 + 2 + 4)*(5 + 2 - 4) to the form r*o + g and give r.\nAnswer: -2610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 (base 13) in base 11?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3353664.\nAnswer: 2, 3, 17467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 498973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -54607 divided by 6?\nAnswer: -54607\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.5, 0.4, 57\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7222 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 4*m**2 - m + 3. Let j be r(4). Let w = -85 + 84.7. What is the nearest to 0.1 in j, w, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 11:31 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2986 + -3?\nAnswer: 2983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 345378 to the power of 1\/2, to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 5*t**3 + 6*t**2 - 6193*t + 1. Let h(g) = -12*g - 5. Let n be 8\/(-10)*5*-3. What is n*h(q) + 5*b(q)?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-5 + 12) - 51\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*q**2 + 0*q**3 - 34554*q**4 + 27 + 2*q**3 + 34553*q**4 as x*q**3 + t*q**4 + y + k*q + h*q**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-63)*((-2)\/1 - 1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 3415.\nAnswer: 3415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23\/12 + -9\/4. Is s less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = -60. Let b = 7 - t. Is b a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h**2 - 1 - 4*h**2 + h + 10*h**2. Let l(i) = 6*i**3 - 2*i**2 + 22*i - 2. Let y(s) = 2*k(s) - l(s). Find the second derivative of y(u) wrt u.\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 15 - 13*n + 12*n)*(0*n**3 - 2*n**3 + 4*n**3) as h*n**3 + d*n + j + f*n**2 + v*n**4 and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-36))\/(2\/664). Let x = i - -77. Which is smaller: -90\/13 or x?\nAnswer: -90\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 3*b - 2*b)*(-4*b**2 + 2*b**2 + 3*b**2)*(-3*b + 3*b - b**2).\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35432 + 35430. Which is the nearest to l? (a) -2 (b) -5 (c) -2\/15 (d) 3.79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11716, 21695, 31674?\nAnswer: 41653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/11 (b) -1 (c) -195 (d) 153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 3*i**2\/2 - 7*i + 14. Let k be y(-3). Round k to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.062*-2259.\nAnswer: -140.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 135281723 - -5?\nAnswer: 135281728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20660, 82793, 186412, 331523, 518132?\nAnswer: 746245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21752307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**6\/300 + g**4\/60 - 12*g**2 + 2*g. Let t(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4*9\/(-108))\/((-591)\/(-150) + -4). What is the closest to 2\/9 in 4, 6, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68395348 by -67186.\nAnswer: -1018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -17. Suppose 10 = k*b - 0. Suppose 5*n - 228 = f, b*f = 2*n - 91 + 9. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 513, 496, 467, 426, 373, 308, 231?\n\"Answer: -6*m**2 + m + 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 23 = -5*r + 3, 5*r = -5*y + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -3142717.\nAnswer: 4\/3142717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)*y)**(-2\/89)\/(y**(1\/2)*y**(-3)) assuming y is positive.\nAnswer: y**(443\/178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686 is divided by 172.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951788 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/2574 and -38\/4538391?\nAnswer: 27230346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 317, 1283, 2893, 5147, 8045, 11587, 15773?\n\"Answer: 322*t**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4023 - 121?\nAnswer: -4144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - w + 9. Let b be u(0). Let f = 5569 - 5524. Calculate the highest common divisor of f and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 5*s**2 + 5*s + 2. What is i(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -726*z**5 - 40*z**2 + 726*z**5 + 92*z**6 wrt z?\nAnswer: 11040*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaco when four letters picked without replacement from caccccaoaaa?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -353450+0.21\nAnswer: -353449.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4750 by -950.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**5\/60 - j**4\/8 + 5*j**3\/6 - j**2. Suppose -3*p + 2*k = -k + 18, -k = -2. What is the units digit of f(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**3 - 3*g + 6. Let k(d) = -7*d**3 + d - 6. Let s(a) = -3*k(a) - 4*w(a). Factor s(t).\nAnswer: -3*(t - 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + n - 21 = 0, 18*h - 27*h - 3*n = 21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/3 + 74*g**3\/3 - 424*g**2 + 1842*g - 2403.\nAnswer: (g - 9)*(g - 3)**2*(g + 89)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*j = -15, 7*c - 2*c - 5*j + 15 = 0. Let y be (342\/(-4185)*-5)\/((-16)\/(-153030)). Let t = y + -3908. Which is greater: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**2\/2 + 153*a - 1. Let n be q(0). Suppose 2*s = -s + n. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -2*b - j, -5*j + 79 = -5*b + 3*b. Let v = b - -44. Suppose 0 = 5*g - v*k - 22, 3*k = k - 2. Solve 5*p - 2*d = -7, 0 = -g*d + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*m - 1 + 1 + 4*m + 4*m**3 to the form k*m**3 + p + f*m + z*m**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.1 (b) 26 (c) -1\/11 (d) 5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -76*i**2 + 26*i - 5. Let p(k) = -148*k**2 + 49*k - 12. Let j(t) = 11*g(t) - 6*p(t). Suppose 0 = -2*f - 2*f - 32. Is j(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 10*m**3\/3 + 71*m**2\/2 + 7*m + 79. Let d be c(-7). Sort 6, 2, -3, d in decreasing order.\nAnswer: 6, 2, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 8*k**2 + 7*k + 3. Let f be c(7). What is the remainder when 54 is divided by f + 4\/(-4) + 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 3*u**2 + 6*u - 4*u**2 + 3*u**2.\nAnswer: 2*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 11*a**2 - 16*a + 6. Let z be k(13). Suppose z = 3*m - 263. List the prime factors of m.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkq when three letters picked without replacement from rwklyyq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10123385.\nAnswer: 5, 37, 54721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(189))\/(sqrt(14)\/(-2*sqrt(2)))*-4 + -1.\nAnswer: -24*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by (0 - (-4)\/5)*(5 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 117*h**3 - 80*h**2 - 4.\nAnswer: 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -431 + 540. Let q = 172 - 18. Let a = q - r. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65737 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -21.2. Let j = 57\/106 + -2\/53. Which is the nearest to -2? (a) n (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 - 3*f + 1. Let k be x(2). Let n(y) = -212*y + 4 - 411*y - 8*y - k. Is n(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103 + 1035552501?\nAnswer: 1035552354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162286019.\nAnswer: 7, 239, 97003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**1*u))**(-20)*(u*u**(-2)\/u)\/(u\/(u**(-6)\/u)))\/(u*u\/u**3*u\/u**(-1\/4)*u*(u\/u**2)\/(u\/(u\/u**(-4)*u)*u*u)) assuming u is positive.\nAnswer: u**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + -101. Let i = 118 + p. Solve -5 = -4*b + i*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slolsllseeoeeoolioss. What is prob of picking 3 s and 1 i?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 8) to base 16\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3425, 6995, 10571, 14153, 17741, 21335?\nAnswer: 24935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(4\/5))**(2\/9)*s**(2\/5)\/s**(-14))**(6\/13) assuming s is positive.\nAnswer: s**(1312\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540 a factor of 504641060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.1 (b) -4 (c) 6 (d) -0.33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -383\/2 - -193. Factor -w*b**3 + 0 - 1\/2*b**4 - 3\/2*b**2 - 1\/2*b.\nAnswer: -b*(b + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02 (b) 5 (c) 1\/10 (d) -1\/8 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10164)\/32 - -3) + 27\/(-72). Let i = 330 + u. Solve -5*b = -0*b - i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -351468, -702976, -1054520, -1406100, -1757716, -2109368?\n\"Answer: -18*x**2 - 351454*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (2 + -5 + 6 + -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 2*v + 3. Let p be z(0). Solve -4*a + 0*w + 2*w = 4, -p*a = 3*w + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1200 + 3?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11119198*v*w**3 - 2*v*w**2 + w**3 - 42216*w + 25 wrt w.\nAnswer: -66715188*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -112\/5*q**3 + 0 - 4\/5*q**4 - 24*q + 236\/5*q**2 = 0.\nAnswer: -30, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*i**2\/4 + 3993*i - 2661.\nAnswer: -3*(i - 1774)*(3*i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 + 7*j - 9. Suppose -58 + 520 = 138*k + 48. Calculate b(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1002 - 1013?\nAnswer: -2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 919 = -1109. Let j = 77 + -43. Calculate the remainder when j is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 4*u + 3. Let g be v(6). Solve -3*i = -0*i + g for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.96 or -848221?\nAnswer: -848221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l - 6 = 0. Which is the closest to 13? (a) 3 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from edndeeieme?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 5*p + 7 - 106, -4*r + 407 = -22*p - 83 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 4*l**2 + 13*l - 8. Determine v(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 3 + -12 + -3 - (-10 - -2) - 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -0.03, 7, -7\/3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqqqqqqqqqzzqqqqz.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.2 (b) 6.09 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -24*a - 16. Calculate the remainder when q(-6) is divided by (9\/(-15)*-3)\/((-1)\/(-25)).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t + 0*t**2 + 3*t**2 + 0*t**2.\nAnswer: 3*t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 30?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/n**(-4\/7)*n)))**(2\/101)*n**(-3)\/(n\/((n\/(n*n**2*n))\/n)))**45 assuming n is positive.\nAnswer: n**(-252900\/707)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.42 less than 6.3997?\nAnswer: 27.8197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685 is divided by 220.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b + 28. Let z be l(-4). Suppose -3*p + z = 7*p. Let n(s) = 782500*s**2 + 2*s - 4. Let o be n(p). What is o rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 233? (a) 0 (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2056597?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrmrmrrrrrrrrrrrr. What is prob of sequence mrrr?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/1115 - 79137\/31220. Let o = 9\/4 + r. Put 7, -2, o in increasing order.\nAnswer: -2, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201110222200 (base 3) to base 11\nAnswer: 2420a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 175208331 to the nearest 10000.\nAnswer: 175210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 v when three letters picked without replacement from {k: 1, v: 3, q: 2, l: 6, w: 4}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9)\/z*z)**(-21)*z**5\/((z\/(z**7*z)*z)\/z) assuming z is positive.\nAnswer: z**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 v, and 2 j when four letters picked without replacement from vrjvvrrjjvvjj?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144373227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -384, -853, -1322, -1791, -2260?\n\"Answer: -469*x + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sevenths of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*o + 60 = 0, -43 = 5*u - 5*o - 143. Calculate the highest common divisor of 220 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.6775185 to one dp.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m - 29 - 62*m**3 - 8*m + 25.\nAnswer: -62*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6}. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 254\/466353 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 96\/(-52)) + (-4460)\/78. Let w = v - -58. What is the closest to w in 5, 27, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*u + 5*m, -4*m - 12 - 3 = -7*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -922192*x**4 + 3*x**2 + 1960*x - 9 wrt x?\nAnswer: -22132608*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 46. Let v be -42*(-36)\/84 - 20. Which is smaller: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1448 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 1\/100*z**5 + 0 + 0*z**2 + 4*z - 1\/30*z**3 + 0*z**4. Factor u(r).\nAnswer: r*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 y, and 1 w when three letters picked without replacement from ybbwyvyyyabwvyywwyaw.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2451\/4 - 7223\/12. Calculate the common denominator of 79\/56 and h.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -243 + 284. Calculate the remainder when m is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*w + w**4 - w**3 - 6*w + 2*w + 1 as r*w + v*w**3 + f*w**4 + x + b*w**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**3*m**3 + 512*k**3*m**2 - 3*k**2*m**2 - 20*k*m**3 - 91*m**3 - 2*m + 1 wrt k?\nAnswer: 18*m**3 + 3072*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2. Let i(q) be the third derivative of -q**7\/840 - q**4\/12 - 5*q**2. Let v(s) be the second derivative of i(s). Give 4*k(c) + 3*v(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2352) + 3*sqrt(2352) + sqrt(2352) - sqrt(2352))**2.\nAnswer: 37632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12534 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2297*y - 569643. Determine s(248).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - ba4b?\nAnswer: -ba41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 10*h - 8. Let v(s) = -s**3 + 7*s**2 - 11*s + 11. Let m be v(5). Calculate q(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 1 - 1\/(-1))\/3. Let d be -1 + (-1)\/(21\/(-23)). Which is bigger: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -16.1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -7*m**5 - 221*m**4\/4 + 6*m**3 = 0.\nAnswer: -8, 0, 3\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 7 = 1. Let v(r) be the first derivative of -1\/2*r**2 - x - 4*r. Find the first derivative of v(n) wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + x**2 - x**2)*(0*x**3 - x**3 + 2*x**3) + (-2*x + 2*x**4 + 2*x)*(-21 + 5*x + 21).\nAnswer: 7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(1539) + 4 - 4*(2*sqrt(19) + sqrt(19))*3))**2.\nAnswer: -5760*sqrt(19) + 615856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002890327 rounded to 7 dps?\nAnswer: -0.0000289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 3199230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 15449?\nAnswer: 2\/15449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*1*(-53)\/53?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2325859.999912 + -2325880. Let v = -33 - -13. Let k = z - v. Round k to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 7:31 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 2393?\nAnswer: -11965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 3 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -32422?\nAnswer: -32432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -67, -1, 23.\nAnswer: -67, -1, 10, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241954 is divided by 778?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5}. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - (-21 + 4 + 5) - (-9 - 0).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13032 + 225?\nAnswer: 13257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*t = 185, 0 = -2*p + 4*t + 103 - 29. Is p a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*((o*o\/((o*o**(1\/27))\/o*o))\/o)\/o)\/o*o\/o**(-20)*(o\/(o**33\/o))\/o*o*o**23)**(1\/57) assuming o is positive.\nAnswer: o**(350\/1539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 283180 - 26111. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(189\/24)*6\/(-24).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -650*p + 37. Let h(o) = 5*o. Give h(c(j)).\nAnswer: -3250*j + 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, 0.5, -5, 1, 3905 in increasing order.\nAnswer: -5, -1, 0.5, 1, 10, 3905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0, -0.02, 0.5, 2\/9, -1\/12, -10096?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 201236 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14, 16, 8, -16, -62, -136, -244?\n\"Answer: -j**3 + j**2 + 6*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7986 + -8248. Which is the nearest to 2\/5? (a) s (b) -2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h - 29*h = 0, 3*h - 4 = -2*o. Suppose 4*p = 3 - 59. What is the units digit of -2 - (o\/(-4) - (-511)\/p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/54*-9 - 4\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6*a = 0, 0 = -7*o + 2*a. Solve o = 6*n - 17 - 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11200 (base 3) to base 9\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -54 and 0.1.\nAnswer: -53.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304208?\nAnswer: 2, 19013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247404 is divided by 247336.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -39*r**2 - 6*r + 9. Let p be o(3). Find the common denominator of (-922)\/p + (-36)\/(-270) and -145\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 3 - (180 + -196)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 10*i - 15. Determine y(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 171, 161, 5, -0.35 in increasing order.\nAnswer: -0.35, 5, 161, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/76225 and -19\/8994550.\nAnswer: 8994550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8127810962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*q - 17 + 17)*(7*q - 4*q - 4*q).\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*z - 119*z + 2270*z**2.\nAnswer: 2270*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35788.\nAnswer: 2, 23, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11778 - -17277. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a hour in seconds?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -817935, -817855, -817785, -817731, -817699, -817695, -817725, -817795?\n\"Answer: -k**3 + k**2 + 84*k - 818019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttxgxkxxgkggxnkkktxg. Give prob of picking 1 n and 1 k.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*z + 4 = -s, -3*z = 3*s - 24. Suppose y - s = -y. What is the highest common divisor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/31))\/(y**(-3\/7)*y*y)*(y\/((y\/(y**8\/y))\/y*y))\/y*y*y*y*y*y**(-6\/5) assuming y is positive.\nAnswer: y**(8998\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13096.\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/216 and -13\/41584104.\nAnswer: 41584104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 230354.5.\nAnswer: 230354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32276507?\nAnswer: 29, 1112983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 33 = -3*r, 1201 - 3311 = -4*r - 117*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 = -7*w + 12*w. Let k = -29 - w. Let a be (25\/(-5))\/(-35) + k\/14. Solve -3*g - 2*g - 15 = 0, -2*g - a = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -302 and 2412.\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {z: 4, d: 4, u: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 501861 smaller than 501855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -300, -458, -616, -774?\nAnswer: -932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4\/9 + 4\/9*v**2 - 8\/9*v**3 + 10\/9*v - 2\/9*v**5 - 8\/9*v**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1208\/1359)\/((-20)\/(-6)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 37*h**2 + 73*h - 103. Let t be a(35). Solve 0 = -3*l + t*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31 - -353?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(-112)\/200*(-70)\/49 - -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 432 = v + 3*v, -3*p + v = -314. Is 27 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 881346, 1762719, 2644092, 3525465, 4406838?\nAnswer: 5288211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 8*j + 2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -14377500.\nAnswer: -1\/3594375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 2*(-1)\/(-2). Let p be r\/(-2*2\/4). Is (-2 - -61) + -2 - p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52.062 + -52. Let y = z + -1.062. Let j = 38 + -35. Which is the smallest value? (a) y (b) 5 (c) j (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-6)\/(-3) - (-5 + 3). Suppose 4*g + 3*d - 2*d - 10 = 0, -3*g - r = -5*d. Suppose -5 = 2*x - 19. Solve -g*m = 4*a - 20, -3*m + x*m = -a + 19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41854*r**3 - 40*r**2 - 35915741?\nAnswer: 125562*r**2 - 80*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**2 + 3*r**2 - 12*r**2 + (-59 + 59 - 16*r)*(0*r - 2*r - 3*r).\nAnswer: 77*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/5 - 17376258*n\/5 - 25161195173547\/5.\nAnswer: -3*(n + 2896043)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*m + 310 + 190. Let h be (84\/m - 3)\/((-9)\/(-90)). Let z(f) = f**2 - 13*f + 17. Determine z(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2230*z**3 + 318*z + 349*z - 217*z**3 + 415*z wrt z?\nAnswer: 12078*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37075904 divided by 2317244.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-245)\/210*(-1760)\/(-1848).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 + 337*h - 12 - 338*h - 1 to the form n + x*h and give n.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 799389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7 = -2. Let u = -3670 + 3674. Suppose 3*o - q*g = -g + 460, -u*g = -5*o + 764. List the prime factors of o.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + (4*1*(2*sqrt(77) + sqrt(77)))\/(sqrt(7) + 6*(sqrt(112) + sqrt(7)) + sqrt(28)\/sqrt(4)*6).\nAnswer: -4 + 12*sqrt(11)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-6 - (4 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87\/(-21) + 0 + 3)\/((-854000)\/8624 + 99).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*c = -17*c + 112 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1bb11 - -5?\nAnswer: 1bb16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 - -0.3. Let m = -1.1 + r. Suppose -5*d - 24 = -3*k, -3*d - 15 = -0*d - 2*k. What is the closest to m in -0.1, 1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 745 and 14049359?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 700 and 30.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31223021 - -3331?\nAnswer: 31233012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1728)\/(-3) + (5 - 5). Let l = -157 + 178. What is the remainder when u\/10 + (-16)\/(-40) is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z + 60. Let t be y(-8). Suppose t*u - 68 = -4. Let f = 3 + 0. Solve n + u + 3 = -f*r, 4*r = -20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2 + 4 - 4*b + (-1 + 1 - 2)*(5*b + b - 4*b) to the form r*b + n and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-102)\/(-68))\/(((-15)\/8)\/5). Which is the nearest to -0.29? (a) w (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 4*b + 12 = 0. Let s be 1*(b - 6\/3). Suppose n + n = -m + 17, 4*n - 5*m = -s. Solve 2*j - n*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 9\/40, 5, 2, 3 in increasing order.\nAnswer: 9\/40, 0.3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from {m: 3, a: 1, o: 1, y: 7}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, g: 4, m: 4, o: 3}. Give prob of sequence vmmo.\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32044664 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -88*m - 80. Calculate the remainder when 957 is divided by y(-2).\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 28*z - 36. Let x be o(29). Let r be ((-15)\/15)\/(1\/x). Suppose -3*f - f = -252. What is the highest common factor of r and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -28, -3, 68, 209, 444, 797, 1292, 1953?\n\"Answer: 4*s**3 - s**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + (sqrt(77)*1)\/sqrt(7) + 4))**2.\nAnswer: 126*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.2 from 0.15.\nAnswer: -3.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2416636?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*g + g**2 - 45*g - 6*g**2 - g**3 + 6*g**2 to q*g + c + b*g**3 + n*g**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*z**3 - 85*d*z**2 - d*z + 6*d - 170*z wrt z.\nAnswer: -12*d*z - 170*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205442, 821860, 1849252, 3287618, 5136958, 7397272, 10068560?\nAnswer: 13150822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 4:57 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -2, -3845 in decreasing order.\nAnswer: 11, -2, -3845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1, -33 in descending order.\nAnswer: 1, -0.4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.88502 rounded to the nearest integer?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvsvrsvovbvoovjv. Give prob of sequence oo.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 590872 and 315765?\nAnswer: 275107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21200049 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/155 and 94\/255.\nAnswer: 7905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/2 + 2 + -3. Let p(j) = -3*j**4 - 4*j**4 + j**4 + j**3 - j**2 + 5*j**4 - 1. Let m(t) = t**4 + t**3 - t**2 - 1. Let o(i) = a*m(i) + p(i). Factor o(c).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26\/15 - 2008\/1155. Let j = 57\/385 + h. Factor -1\/7*f + j*f**2 + 0 + 1\/7*f**3 - 1\/7*f**4.\nAnswer: -f*(f - 1)**2*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -12 + 74 - 27 - 28. Let d(y) = 4*y**2 + y. Let m be d(1). Let s(g) = g + 6. Let w(v) = m*s(v) - 4*t(v). Determine w(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = 5*f - 116 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - ((sqrt(539) - (1 + sqrt(539)*2 - sqrt(539))) + sqrt(539))) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*(2 + sqrt(304)) - sqrt(304)) + 1 + 2*sqrt(304) + -4 + sqrt(304) + (-1 + sqrt(304) + sqrt(304) + sqrt(304) + -2 - sqrt(304)))**2.\nAnswer: -7896 + 960*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*h)*(h - h + h**2) + 6*h**3 - 7*h**3 + 2*h**3 - 11 to x*h**2 + g + r*h**3 + p*h and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21387587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 71183.8564 to the nearest 1000.\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47959\/5 + 9574. Suppose 3*c + 2*g = 4*c + 9, 5*c + 3*g + 97 = 0. Are c and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 324222618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.8 and -0.061.\nAnswer: 3.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 24 = 4*w + 5*k, 0 = -5*w + 5*k - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 8, p: 7, c: 1}. What is prob of sequence ci?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*a**4*h**2 + 3*a**4 + 6*a**3*h**2 - 2*a**2*h**2 + 1264*h**2 wrt a.\nAnswer: 528*a*h**2 + 72*a + 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/((-30)\/560). Let z = 32 + d. Factor 8\/3*f**4 + 6*f**3 + 2\/3*f + 0 + z*f**2.\nAnswer: 2*f*(f + 1)**2*(4*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 43555 = -4*a + 3105, -3*o - 46597 = -4*a. Does 188 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/28)\/((-42)\/32)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from aqaqpqdapdqpq.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/15)*p**5\/p*((p\/(p**(2\/7)\/p))\/p)**50*(p**(1\/8)\/(p**(-11)*p))**(-27) assuming p is positive.\nAnswer: p**(-196163\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 17*l + 17. What is the remainder when 543 is divided by c(-17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4. Let f be 596\/(-588) - -4 - 3. Let s = -449\/588 - f. Which is the closest to y? (a) s (b) -4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -12*y**2. Let j(c) be the first derivative of 11*c**2 - 5*c - 5. Let i be j(1). Let g(x) = x + 13 - 30 + i. Calculate f(g(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 74 = 4*t. Let m = -1065 + 1008. Let h = m - t. Is 17 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 87382*v**2 + 54985*v + 46. Let w(m) = -10923*m**2 - 6873*m - 6. Let c(x) = 3*b(x) + 23*w(x). What is the second derivative of c(r) wrt r?\nAnswer: 21834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 5*v**4 + 42995*v**3 + 3490265*v**2 - 14520195*v + 10986930 = 0.\nAnswer: -8517, -86, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16 + 14)*(3\/15)\/1. What is the smallest value in 5, o, -4, -3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -31*b**2 + 197*b - 401. Determine g(2).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -510061 (base 9) to base 5.\nAnswer: -34124421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 8*h**2 - 3*h + 6. Suppose -188 = 2*p + 4*f, -p + f - 91 = 4*f. Let r = p + 103. Suppose -r = -2*c + 13. What is u(c)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p. Let f(n) be the third derivative of 343*n**5\/60 - n**4\/24 + 1119*n**2. What is f(v(s))?\nAnswer: 3087*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4*w + 64, -u - w - 11 = -2*u. What is the least common multiple of (u\/9)\/(4\/18) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -5. Let j be (2*(-38)\/i)\/(-1). Let n = -24 + 5. Is j at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 5:44 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i - 9. Let v(p) = -p - 1. Calculate -h(n) + 4*v(n).\nAnswer: -2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - r - 1. Let f(p) = -p**2 + 9*p - 1. Let w be f(9). Let d(i) = -15*i**2 - 5*i. Let s(b) = w*d(b) + 6*x(b). Does 18 divide s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56 - 193*m + 29 + 27 - 488*m in the form s + b*m and give b.\nAnswer: -681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -212.6 - -184. Let v = 29.6 + n. Put -0.4, -2.5, v in increasing order.\nAnswer: -2.5, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-15))\/(((-518)\/(-140))\/(-37)). Sort 7, -1, f in decreasing order.\nAnswer: 7, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1397355*o**3*q**2 - 49*o**2*q**2 + o**2 - 6*o - 19 wrt o?\nAnswer: -8384130*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61395521857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3*n - 6. Let p be (-4)\/22 + (-4)\/(-22). Suppose -t = 3*q - 17, 2*t - 5*q + 3*q - 10 = p. Calculate the lowest common multiple of t and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*390\/(-39)*(-1)\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3\/3 + 1648*z**2\/3 + 3290*z\/3 + 548 = 0.\nAnswer: -822, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645 = 5*z - 5*u, 2*z - u + 69 = -190. Let v = z - -194. Does 23 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 8 = -4*l - 5*s, 4*l + 2*s - 8 = 0. Let k(m) = 4 - m - l - 16. Give k(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*1928210\nAnswer: 1735389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 6*h + 3. Let f be p(0). Suppose 5*v + 5*a + 12 + 13 = 0, -4*a = -5*v - 7. Let x = v + f. Solve 6 = -3*y - x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -22. Suppose -5*l + 34 = -5*r - 11, -q*r = l + 11. Let w = 4 + -18\/5. Which is the nearest to w? (a) r (b) 0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 740*p**4 + 28*p**2 - 1042*p + 16. Let o(y) = 741*y**4 + 24*y**2 - 1040*y + 14. Let q(z) = -6*a(z) + 7*o(z). Find the second derivative of q(w) wrt w.\nAnswer: 8964*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 11*t - 7*t**2 + 12 - 16 + 9*t**2. Let x be p(4). Solve -4*u = -3*s + 9, 4*s - x = 4*u - 0*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 463420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s - 35 = -211 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 2. Let d(s) = 25*s**3 - 1. Let t be d(1). Suppose 0 = 2*h - 4 + t. Does 6 divide a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*d**3*x**4 + d**3*x - 13*d**2 - 10*d*x - 10*x**4 wrt x.\nAnswer: 108*d**3*x**2 - 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28489034?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 167 + -172. Put -0.5, r, -19 in increasing order.\nAnswer: -19, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/2)\/o*o)\/(o\/(o**4\/o)))**(-3\/17) assuming o is positive.\nAnswer: o**(-21\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -353*j**3 + 9*j**2 - 27*j + 9. Let n(a) = -88*a**3 + 2*a**2 - 6*a + 2. Give 18*n(l) - 4*u(l).\nAnswer: -172*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -2, -87, -310, -731, -1410, -2407?\nAnswer: -3782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 1 - (13 + -26). Let p = -40 - -80. What is the greatest common factor of n and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 + 171. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -32*j + 19. Let r be s(4). Let p = r - -111. Solve -p*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 7. Let h(a) = -a - 5. Let j be h(5). Let p be c(j). Suppose p = b, -r - b = -3*r + 3. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u**2 - 9*u + 31. What is the hundreds digit of y(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2878, 11236, 25154, 44632, 69670, 100268?\nAnswer: 136426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (48\/9)\/(-4)*701391. Let k = x - -195188. Round k to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*b + 2 + 16, 4*s - 12 = 2*b. Let p(j) = 2 + 6*j**2 - 1 - 6*j**2 + 31*j**2 - 19*j**2. Calculate p(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2837, -4273, -6679, -10049, -14377, -19657, -25883?\n\"Answer: t**3 - 491*t**2 + 30*t - 2377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 2. Let p(d) = 0*d**3 + d**3 - 7 + 8*d**2 - 2*d**3 - 7*d. Let r be p(7). Let b be f(r). What is the highest common factor of b and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/5131684 and -3\/25180.\nAnswer: 25658420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.65 + -0.05. Let r = 0.54 + 0.56. Let a = i - r. What is a rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4349*r + 1320*r + 1310*r + 1693*r.\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*g + 20*g + 55*g + 39*g**3.\nAnswer: 39*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2298 (b) -0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 2821261096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 1 = 3*j + 1, 3*j = -2*g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 10397*r**4\/4 - 2*r**3\/3 - 9*r**2\/2 + 35*r + 9129. What is the third derivative of a(b) wrt b?\nAnswer: 62382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 3:06 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**9\/15120 - y**7\/1260 - y**4\/3 + y. Let w(p) be the third derivative of r(p). What is the third derivative of w(v) wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccececccciic. Give prob of sequence iec.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) -6 (c) -2\/13 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 42 = -9*v. Let r(u) = v - 4 + 9*u - 7*u**2 - u**3 + 5 + 3. Calculate r(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92358059*c + 95353979.\nAnswer: 92358059","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24924*y - 24857*y + 19 - 1895 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*h + 15190 = 87*h - 76*h + 162*h for h.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 177*o**4 - 119*o - 2. Let i(a) = 179*a**4 - 120*a - 3. Let q(z) = -2*i(z) + 3*y(z). Find the second derivative of q(g) wrt g.\nAnswer: 2076*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 78 = -5*t + l, 3*t - 42 = 3*l. Suppose t*x - 21*x = -1860. List the prime factors of x.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n + n**3 - 3*n**3 - 3*n**2 + 3*n**3. Let d = 8 - 3. Is x(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*4\/12 - -2. Let i be m\/(-13) + 150\/(-39). Let q(k) = -k**3 - 3*k**2 + 4. Calculate q(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (71 - 9) + 4\/1. Calculate the highest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 321, 347, 399, 483, 605, 771, 987, 1259?\n\"Answer: d**3 + 7*d**2 - 2*d + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 6*w - 6375830, -5*w + 6463868 - 1150625 = -4*n. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + (-3)\/((-18)\/222). Let s = -37 + z. Solve -6 = a - s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 - (-4 - 146)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + 4*(5 + sqrt(180)))*-2.\nAnswer: -48*sqrt(5) - 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 - 358 - 2*z**2 - z + 355 - 3*z**3 - z**4 - z to the form s*z**2 + m + f*z**4 + k*z + w*z**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 17*r - 3 + 2 + 25*r + 3.\nAnswer: 8*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 4 - (-73 - (-25 - 106))) + 12?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -61 - -c7174?\nAnswer: c7113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*i + 102 - 40, -x - 6 = -4*i. What is the tens digit of x\/(-56) + (-142)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 211632413 and 4.23?\nAnswer: 211632408.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 713515778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1298750?\nAnswer: 2, 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 1216*p + 1214.\nAnswer: 2*(p - 607)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*77\/88*24\/(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -138.1231?\nAnswer: -138.1231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 3. Let u be r(-6). Let i(p) = -p**2 + 9*p + 10. Let m be (10\/(-3))\/(1\/(-3)). Let l be i(m). Solve l = -u*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12958382693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -188770 or 0.2?\nAnswer: -188770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -115 - -157?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 11343213?\nAnswer: 11343212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(380\/15 - 4). Let n = o + -36. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2\/13, 23, 7, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-24)\/(-75))*(-2)\/10.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwhx when four letters picked without replacement from {w: 1, x: 1, e: 1, m: 2, h: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yryydyddrryr. Give prob of picking 3 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 20 = -2*k. Suppose 5*b - 3*b + k = -3*z, 0 = 5*z + 3*b + 33. Let u be 2*(z\/2)\/(-6). Which is smaller: u or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 704 - 352. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = p + 1157, -2*y - 591 = 4*p - p. Let w be y\/(-162) - 2\/(-9). Solve -w*g = -3*i + 1, -g + i + 2*i - 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565247 is divided by 3076.\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 241*i**2 - 965*i + 9. What is l(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8182045 - -3252045. Round t to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 - 10*p**2 + 10*p**2 + 0*p**3 + 0*p**3 + p**3 + (-2 + 2 + 2*p**2)*(-p + 2 - 2) + 0*p - 2*p**2 + 0*p + p**3.\nAnswer: -p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f**2 + 127*f - 8. Calculate the least common multiple of w(-16) and 2320.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u - 2 + 2)*(-2 + u**3 - u**3 + u**2 + 3*u**3) + 3*u**4 - 4*u + 4*u as z*u**3 + x*u**2 + j*u**4 + h + c*u and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*h + 145. Let k(q) = -12*q**2 - 35*q + 3. Let l be k(-2). Solve l = 4*t + u, -4*t + 16 = 5*u - h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -4. What is the third derivative of g**5 - 5*g**2 + 2*g**2 + 0*g**2 + v*g**2 wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -794.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from uwszwwzzsosxx?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 a factor of 1770548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 43*s**2 + 47*s - 151. Give n(44).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, v: 3, f: 4, w: 7, s: 1}. Give prob of picking 2 w and 2 f.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9129 - -16041. Suppose w + f = 10*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 3:00 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**3 + 2*f**2 + 3*f + 5. Let h(y) = -y**3 - y**2 - y - 1. Calculate -2*h(c) - x(c).\nAnswer: -2*c**3 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -2.2, -1\/10, -2, 2\/21 in descending order.\nAnswer: 2\/21, -1\/10, -0.6, -2, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + 0*q**3 + 0*q**3 + (2*q**2 + 1 - 1)*(6*q**2 - 6*q**2 - 2*q**3) + 2*q**5 - 4*q**5 + q**5.\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 + n - 77. Let l = 312 + -334. Is i(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11156*(10\/110 - (-14)\/88) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 10\/5 - 0. Let r be (-1 - 0)*2 + s - 70. Let p = r + 77. What is the greatest common factor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11955*c = 12048*c + 5115 for c.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**5\/60 + 3*b**4\/8 + b**3\/3 + b**2. Let v be u(9). Solve 2*z - 20 = 4*f, v*z + 3*z = -4*f + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -49.4. Let f = -4 + 3. What is the nearest to f in -2\/17, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279104 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 + 18*b**2 - 1562*b**3 + 1563*b**3 - 4*b + 2*b**4 to w*b + u*b**4 + i*b**3 + h*b**2 + p and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -714 - -11?\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((147\/(-14))\/7)\/(-5 + 2). Let p(d) = -d**2 + d + 3. Let u be p(3). Sort u, m, -4 in ascending order.\nAnswer: -4, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 18288310.\nAnswer: 36576620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 - 58. Suppose 108 + 18 = u*z. Let d = 12 + 0. Calculate the smallest common multiple of z and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530118.6 milligrams to grams.\nAnswer: 530.1186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1606*s**5 - 4*s - 156 wrt s.\nAnswer: -32120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3514370.\nAnswer: 2, 5, 351437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 18*s**2 - 2*s - 34. Let j be p(-18). What is the third derivative of i**j - 2*i**5 + 3*i**6 + 0*i**6 - i**5 + 3 - 1 wrt i?\nAnswer: 360*i**3 - 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-19)\/(-57))\/(4\/12))\/(-35).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 126, 334, 624?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -0.2, -3\/7, -1\/4 in decreasing order.\nAnswer: 0.09, -0.2, -1\/4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 43*j**3 + 46*j**3 + 1.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 579.\nAnswer: -4, 4, 579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -7*o + 33 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(120))\/sqrt(12))\/(sqrt(10)\/(sqrt(4)\/sqrt(2))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 27*x**2 + 12*x. Let i(l) = 112*l**2 + 49*l. Let p(j) = -49*a(j) + 12*i(j). Let f(m) = m + 70. Give f(p(u)).\nAnswer: 21*u**2 + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -62, -91, -120, -149, -178?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 515\/(-20) - 1 - -3. Let w = z - -24. What is the nearest to w in 2, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 7:17 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9894 is divided by 180.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -4. Let l be (s + 1)*1*-1. Let o be ((-6)\/(-4) + -2)\/(2\/(-2)). What is the second biggest value in o, -3\/8, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 947412, 946911, 946410, 945909, 945408?\n\"Answer: -501*g + 947913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 2 - 0)\/2. Let i be 3\/(-15)*z\/1. Put 0.5, -4, i in ascending order.\nAnswer: -4, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31882974 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in 11, -3, 0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1003 - -2422?\nAnswer: 3425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*d - 14, 2*d - 5*c - 3 = -0*d. Suppose 2*r = 3*t + t - 108, -4*t + 132 = d*r. Solve k = -2*k + 5*y - t, k + 5*y = 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4824?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 2. Let r be 1\/(-3 - (-64)\/20)*1. What is b(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.636768 rounded to three decimal places?\nAnswer: -4.637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 6*u - 2*u + 20 = 0, -5*u = 6*r - 1041102 + 1041127 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 561 and 306.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4593 - 2*y + 4593. Let p(w) = -w**2 - 3*w**2 - 4*w**2. Give l(p(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y**2 - y. Let q be i(-1). Suppose -4*v = -0*v + q, -2*s - 5*v + 84 = 0. Let c = s - 29. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 200877 - 210388.9. What is o rounded to the nearest 100?\nAnswer: -9500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 0.083.\nAnswer: 1.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (375\/(-36))\/(-1)*(-888)\/(-1110)\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-80)*-5 + 52\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3978956 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/5 + 64*x**2\/5 - 4752*x\/5 = 0 for x.\nAnswer: -108, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-48 - -48) + (10 - 2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*p - 4*m, 3*p + 2*m = -2*m + 25. Suppose -4*s + 8 = -2*s. What is the nearest to 0 in p, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -14 - -7)\/(-4 + 87\/18).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37.746 - 37.946. What is the closest to d in -1\/4, -2\/9, 1409, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1264\/1896)\/((5\/(-5))\/75).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3346 = -a + 1313. Let l = a + -46663\/10. What is the common denominator of -67\/36 and l?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2695 = -3*m + 2*i + 1110, -5*m - 2*i = -6347. Suppose -292*c + 295*c = m. List the prime factors of c.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -65. Suppose 4*y - r = k, 2*r + 2*r = y - 15. Calculate the remainder when 18 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101709\/2485 - 1985\/71. Let s = f - 88\/7. Find c such that s*c**2 + 0 - 2\/5*c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -868*y + 8269. Give l(9).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-3 + (14 - (16 + -1)))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.43, -1\/3, -3, -0.5, 2, 0.02 in ascending order.\nAnswer: -3, -0.5, -0.43, -1\/3, 0.02, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 26 = 4*u, -35*u = -j - 33*u + 10. Differentiate -2*s + 2*s + 2449*s**j + 78 - 2316*s**2 wrt s.\nAnswer: 266*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 30*y**2 + 248*y - 384.\nAnswer: (y - 16)*(y - 12)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - j**2 + 2*j**2 + 5 + (-2*j + 2*j + j)*(0 - 2*j + 0) - j**2 + 2*j - 2*j.\nAnswer: -2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4581 - 4435. Calculate the greatest common divisor of 292 and i.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from kkkkkkkklkkkl.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*sqrt(44)\/sqrt(4) - (sqrt(11) - sqrt(176))).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a second in milliseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 12*x + 2. What is o(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55030 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*3)\/((3036\/8)\/11)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 723 + -646 + -7 + -34.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/3)\/((-1)\/(-3)). Let f = 103\/539 - -4\/49. Is k bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z**2. Suppose 7*a - 12*a + 15 = 0. Suppose a*s + 0 - 6 = 0. Let w(c) = 25*c**2 - 18*c**2 - 13*c**s. Give n(w(t)).\nAnswer: -216*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.054 * 0.01.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-2)*g))\/g)\/g**31 assuming g is positive.\nAnswer: g**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 40, 23, -46, -185?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/26 (b) 0.3 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 249.172, 7, -0.42 in decreasing order.\nAnswer: 249.172, 7, -0.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 - 2*y - 1. Determine b(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 899 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: Expand (3*g + g - 6*g + (2*g + g - g)*(5 - 4 + 1) + 11 - 3*g - 11)*(42 + 17 + 3).\nAnswer: -62*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -301 + 300. Let m be 20\/(-88)*(-4)\/5. Which is the fourth smallest value? (a) r (b) 6 (c) m (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3325700884 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 - 5053\/(-62) - (-3 - 14\/(-4) - 107)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p + 11*p - 8*p + 1)*(-2 - 1 + 1)*(-1 - p + 1).\nAnswer: -16*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (2 - 8) - 2. Is f <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.01.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j. Let m(s) = 1408*s - 1200*s + 2801*s. Give p(m(o)).\nAnswer: 6018*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 77\/2, -1298, 0.1 in decreasing order.\nAnswer: 77\/2, 0.1, -1298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.071 - 0.070896. Round b to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - g**2 + 6*g**2)*(2 + 2 - 6)*((0 + 0 + 3*g)*(0*g + 0*g - 2*g**2) + g**3 + g - g).\nAnswer: 30*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162\/11 - (1*11 - (-54188)\/(-4807)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*j - 35654 = -6794. What is the remainder when j is divided by 73?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71617 - -1001757\/14. Let r = -133\/2 - z. Find the common denominator of r and (16\/(-8))\/(4\/(-5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g + 2. Suppose -6*h = -61 - 833. Let i = h - 145. Calculate t(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8972615?\nAnswer: 5, 1794523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -5*l - 12, 2063*v - 2059*v - 4*l - 32 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 10:14 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 + 2b112b?\nAnswer: 2b1145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/13 - 24*c**4\/13 + 80*c**3\/13 - 36*c**2\/13 - 82*c\/13 + 60\/13 = 0 for c.\nAnswer: -1, 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 9. Let u be q(-8). Which is the third biggest value? (a) 3\/7 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 7229881837*x + 7229881837*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(1 - -2) - -3. Let f = -12 + y. Calculate the greatest common factor of 18 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 78853 + 25?\nAnswer: 78878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -348.4 + 427. Let q = -78.8 + u. What is the nearest to q in -4, 0.2, -3, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -55, -148, -277, -442, -643, -880?\nAnswer: -1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 0*s - 1\/45*s**5 + 10\/9*s**4 + 0 + 14\/3*s**3 + 92*s**2. Factor i(j).\nAnswer: -4*(j - 21)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.803 * -29.9306.\nAnswer: 53.9648718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (79 - 150 + 71 - 145*b + 565*b)*(-149*b + 122*b + 125*b)*(3 - 2 + 0) to c + i*b + k*b**2 and give k.\nAnswer: 41160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f = i + 3*i + 22, 2*i + 2*f - 8 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 29284902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11*q**2 + 24*q. Let k be d(-3). What are the prime factors of 5748\/k - 16\/(-144)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18461 divided by 6?\nAnswer: -18461\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 - 3*g - 12. Let k be t(-9). Suppose 458 = q - k. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-456)\/36 - -12)*2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44\/3 >= -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*s + 96*s = -32 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1101 = -192*r + 819 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 21, -0.35?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 6:55 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3*-4313.1\nAnswer: 12939.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 0*z**3 - 1\/45*z**6 - 7*z + 0 + 0*z**2 + 1\/30*z**5 + 1\/9*z**4. Factor m(y).\nAnswer: -2*y**2*(y - 2)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.59 + 13. What is b rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**5 + 8*g**3*x + 4*g**2*x**2 - 42*g*x**2 + 6*x**2 wrt g?\nAnswer: -20*g**3 + 48*g*x + 8*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 438653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9663 divided by -9663\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -10\/7, 35, 2.9, 5, 4 in decreasing order.\nAnswer: 35, 20, 5, 4, 2.9, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222110210221 - -102?\nAnswer: 1222110211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20001 + -332?\nAnswer: -20333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5*(4 + 131). Let j = 3 + 15. What is the highest common factor of j and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*y - 10*y - o + 1, -5*o - 7 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13 - 0.07. Which is the closest to 0? (a) -5 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 126*p**2 + 133*p + 2. What is the units digit of n(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 - 237256*o**3 + 3395314644*o**2 + 3642945828464*o + 943041943984144.\nAnswer: 4*(o - 30166)**2*(o + 509)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 6 - (1 + -2 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i. Let v(j) = -348*j**2 - 16. Suppose -2*z + 78 = 5*m, 83 = 5*m - 0*z - 3*z. Let a(f) = 116*f**2 + 5. Let x(b) = m*a(b) + 5*v(b). What is x(p(c))?\nAnswer: 116*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -510 + 550. Suppose -41*u = -z*u - 6. Calculate the least common multiple of u and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1921*x - 31267*x + 0*x**3 - 2*x**3.\nAnswer: -2*x**3 - 29346*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 9.1, 2\/5, -82?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5*x - 9 - 26, -3*n = 6. Suppose 0 = 4*f - 2*r + r - 92, -2*f = x*r - 24. Calculate the least common multiple of 18 and f.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 27 = 16*y. Which is smaller: y or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**2\/3 - 328*q\/3 + 2220 = 0.\nAnswer: 37, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**3 + i**2 - 2*i. Let z be f(-3). What is the greatest common divisor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 54 + 16*o**2 + 1 - 28 + 3.\nAnswer: -o**3 + 16*o**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 98 or 1.1?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 - 2*h - 3. Let v(k) = -k**2 - 4*k + 3. Let b be v(-4). Suppose s - b*s = 4. Is q(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/77 and 83\/56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -303063468 or -303063470?\nAnswer: -303063470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 - h**2 + 5*h - 40 - h**2 + 0*h**2 - 16*h**4 - 3*h to i*h + z + d*h**4 + m*h**2 + k*h**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2, 1\/2, 0.2, 56\/17 in ascending order.\nAnswer: -2, 0.1, 0.2, 1\/2, 56\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 965956316 to the nearest integer?\nAnswer: 31080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -48*(-9)\/6 - -1. Suppose 0 = 3*w - 5*q - s, 2*w - w - 2*q = 25. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -2*a**7\/105 + 11*a**6\/15 + 52*a**5\/15 - 44*a**4\/3 - 128*a**3 + 2003*a**2. Factor g(f).\nAnswer: -4*(f - 24)*(f - 2)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 304100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**6\/120 + u**5\/20 - u**4\/4 - 7*u**3\/6 - 11*u**2. Let r be q(-4). Is 2\/69 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + sqrt(20) + (2 + sqrt(180)*3)**2.\nAnswer: 74*sqrt(5) + 1629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uh when two letters picked without replacement from {h: 1, e: 1, u: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*g**2 + 86*g**2 - 46*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4706768 divided by 88\nAnswer: -53486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1286278 divided by -1106\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2383774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 138 - 150 + 0*y. Give b(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 4*v**2 - 5*v + 2. Let y be d(5). Suppose 4*w + 20 = 0, -y*a = -0*a + 2*w + 148. Let b = 134 + a. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 334, 491, 646, 799, 950, 1099?\nAnswer: 1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*p + 9 = -80*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 77*h**2 + 370. What is the units digit of p(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9942 is divided by 112.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*v + 135 = 3*q - 46*v, 5*v = 2*q - 56. Solve -h - 4*o - q = -12*o, -2*h + 4*o = 26 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 570949 from -262.\nAnswer: -571211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.3 take away -1566.037?\nAnswer: 1624.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73494582?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3689 and 15283?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40113, -80450, -120787, -161124, -201461, -241798?\nAnswer: -282135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l - 7*l + 17115 = 0. Is l >= 489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or 1238.4?\nAnswer: 1238.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2367570112?\nAnswer: 2, 36993283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 1. Let q(t) = 13. Let k(f) = 1. Let a(s) = -6*k(s) + q(s). Let p(i) = -2*a(i) - 14*b(i). Let z(h) = 1212*h - 604*h - 606*h. Give z(p(c)).\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - z - 4*z + 18 = 0, -6 = -3*h - 3*z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42694*n - 42648*n + 4*k + 234 = 0, -4*k = 4*n + 24 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1153 = -f - 3*y, 3*f - y - 699 = 2780. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6741 and -82\/4815.\nAnswer: 33705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-115 + 75)*(-4)\/10\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32017 + 31968.986. Let o = g - 0.686. What is o rounded to the nearest integer?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u + 15. Let b be n(-10). Let p(g) = g**2 + 8*g + 3. Let w be p(b). Let z be 42\/8 - (-3)\/w. Calculate the highest common divisor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-27) + (-145)\/(-45). Suppose n*j + 8 = -151. Let d = 36 - j. List the prime factors of d.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*3*sqrt(1300)*-1.\nAnswer: 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 304\/133 + (-10)\/35. Solve 0 = -4*a - 2*s - 8, -a + 2 = -l*a - 4*s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*6*3\/54\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -5. Let a = -6 + 23. Suppose -u = 4*d - 5, -2*d = 5*u - a - 8. What is the remainder when q is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1182*i**2 + 670*i\/3 + 2876\/3.\nAnswer: -2*(i - 1)*(1773*i + 1438)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3718.219 litres to millilitres.\nAnswer: 3718219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**2 + 3*p - 1. Let a(v) = v**2 + v - 1. Suppose -125*u + 52 + 39 = -159. Give u*a(y) - x(y).\nAnswer: 7*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 10*m**2 + 9*m + 2. Let c be d(9). Let n(w) = -3 - 2*w + w + 9*w + 3*w**2 - 5*w**c. Determine n(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**3 + 35*g**2\/2 - 10*g - 42. What is the units digit of h(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let j(f) = -f. Let t(g) = -2*j(g) + 3*x(g). Let i be t(-1). Solve i = -o - 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 7 = 25. Suppose -2*i + o = i. Suppose -4*z = i - 6. What is the least common multiple of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2609.06 to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*s**2 + 268*s**2 + 556*s - 3320*s.\nAnswer: -4*s**2 - 2764*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -4.4. Let u = 0 - 0. Let z = -614 - -4296\/7. Which is the second smallest value? (a) x (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.312 and -48.563?\nAnswer: 15.151656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from uuuaaqiaumuq?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14 and 609.\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 760*v**3 + 24*v**2 - 2038*v + 3. Let i(k) = 762*k**3 + 16*k**2 - 2038*k + 2. Let d(m) = 6*i(m) - 4*z(m). Find the second derivative of d(b) wrt b.\nAnswer: 9192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-8\/17)*d\/(d\/(d*d**(-2\/3)*d))*(d**(7\/8))**(-1\/5) assuming d is positive.\nAnswer: d**(3443\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4344.29, -3, 5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-18) + (-82)\/3. Let i = -60 - k. Calculate the remainder when 61 is divided by (-624)\/i*4\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-25))\/(((-44622)\/(-2960))\/201)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -9*d**2\/2 - 11. Let u(a) = -3*a**2. What is u(v(k))?\nAnswer: -243*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z - 2. Let b be r(2). Let h(n) = 2*n - 2. Let u be h(b). Solve 3*f + u = -f - 3*l, 6 = -2*f - 2*l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4187655888?\nAnswer: 2, 3, 13, 251, 26737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 14*y + 42. Determine j(19).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86463 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -133 + -214. Let s = z + -46. What is s rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 20 = -35. Suppose -12*w + o = -19. Suppose -2*u - 2*u**3 + 0*u - 35*u**w + 31*u**2 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 - (-7 - -11)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 10\/7 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l**3 - 2*l**2 - l - 6. List the prime factors of d(-2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16204.51 - -16276.311915. Let w = 71.8 - h. What is w rounded to 5 decimal places?\nAnswer: -0.00192","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165431748 to the nearest integer?\nAnswer: 12862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -286248*t**2 - 62*t. Let f(l) = -5*l. Determine h(f(v)).\nAnswer: -7156200*v**2 + 310*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*h - 124*h + 248*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2 + sqrt(2352)*-3 - sqrt(2352)) + -4 + sqrt(2352)*-3)**2.\nAnswer: -691512 - 4704*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-8 - -8) - 5 - -18.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/67, -1, 2\/5, -2201, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**3\/3 + 2. Suppose -4365 = -4*f - 3*i, -4*i = -2*f - 0*f + 2210. Let y(k) = 1095 + 2*k - f. Calculate y(t(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/37 (b) 0 (c) 0.3 (d) 77798\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (19 - 33) + -2 + -6 + 5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 335442 and 5883.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - o = 87, 4*p + 2*o = 2*p + 78. Sort p, 5, 2.\nAnswer: 2, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqrerebnhrerqeb. What is prob of sequence ebe?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1040*q + 4*q**2 + 104*q**3 + 13 - 1041*q - 111*q**3 to z + d*q + y*q**3 + i*q**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.6 and -536.6.\nAnswer: -3004.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 140 = 4*m. Calculate the smallest common multiple of m and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6669 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - h - h + 0. Let f(a) = -28*a**2 + 21*a - 168. Let s(v) = 5*v**2 - 4*v + 32. Let r(q) = -8*f(q) - 42*s(q). Calculate y(r(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 5, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0515 and -0.117.\nAnswer: -0.0655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**2 + 0 + 49\/20*y**5 + 52*y + 0*y**3 + 2\/3*y**4. Find the third derivative of o(p) wrt p.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 12*i**5 - 4*i**4 - 5*i + 4. Let s(t) = -35*t**5 + 11*t**4 + 15*t - 11. Let u(g) = 4*s(g) + 11*w(g). What is the second derivative of u(j) wrt j?\nAnswer: -160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 88\/(-1095) - 9\/27. Let a = -1\/73 - b. Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-24)*3\/5\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3)*q)**(3\/8)*(q\/(q*q*q**(1\/4))*q)**(-35) assuming q is positive.\nAnswer: q**(67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 10, u: 2}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10 + (-37580)\/(-12))*(2 + 4)?\nAnswer: 2, 5, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 969 and 2070753.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-8)\/8*(-4)\/(-60)*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2)*g)**5\/(g**(-1\/8)*g**3))\/((g**(-2)\/g)**(-48)*(g**(-2\/3)*g)\/(g**6*g)) assuming g is positive.\nAnswer: g**(-3185\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24086 is divided by 560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 3 (b) 1\/7 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 157\/1014 + 2\/169. Let x = 287\/1251 - 1\/139. Let a be (2\/(-6))\/(12\/18). Sort x, j, 5, a in ascending order.\nAnswer: a, j, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7221, 6, 4, -18 in descending order.\nAnswer: 6, 4, -18, -7221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, g: 2, p: 1, s: 3}. What is prob of picking 2 o?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62373710?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 5, n: 1, x: 3, w: 1, j: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 605 and -1939.\nAnswer: -1173095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from ppatrprjttr?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3013155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -331, -324, -315, -304, -291, -276, -259?\n\"Answer: s**2 + 4*s - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 10. Let c(m) = 3*m - 1. Let n be c(-1). Let d = n - y. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 20 = -3*i, 12 = -61*l + 64*l + 33*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5814 is divided by 965.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -104155, -414480, -931689, -1655782?\n\"Answer: -103442*s**2 + s - 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 5*q + 2. Let n be g(6). What is the highest common factor of 56 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10573, -10559, -10519, -10441, -10313, -10123?\nAnswer: -9859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100222022 + 1102?\nAnswer: 101000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 5*c**2 + 31. Let m be h(6). What is the closest to 16.8 in -0.5, m, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -38689, -2, -5 in ascending order.\nAnswer: -38689, -6, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 + 77*z**2 - 62*z**2 - 4*z**3 - 4*z**3 + 0*z**3.\nAnswer: -7*z**3 + 15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -7, -1, 1, -17, -243.\nAnswer: -243, -26, -17, -7, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -1423*k**6\/120 + 259*k**4\/12 - 12*k**2 + 47*k. Find the second derivative of z(j) wrt j.\nAnswer: -8538*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 - 65.9. Let n = -64.99967 - f. What is n rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2438548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2135204 + -1?\nAnswer: -2135205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22984313 divided by -4961.\nAnswer: -4633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2. Let z(f) = 10*f**2 - 2*f. Let o(y) = 12*y**2 - 3*y. Let b(g) = 2*o(g) - 3*z(g). Determine h(b(a)).\nAnswer: -108*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*m**2 + 8*m**2 + 14*m**2.\nAnswer: 73*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9719096?\nAnswer: 2, 547, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 541638 or 2708189\/5?\nAnswer: 2708189\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**2\/2 + 101*m. Let b(j) = -4*j**2 + 5. What is -b(z) - 5*r(z)?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 511325 and 335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/((-8316)\/(-21)))\/(5\/3)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6776804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*d - 43. Let c = 29 - d. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(882)*-2 - (-2*sqrt(288) - sqrt(18)))\/((1*sqrt(216) - sqrt(216)) + sqrt(54)*-6).\nAnswer: 5*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -20*a - 1195. Calculate j(-40).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4692)\/153*3\/(-4). Solve 22 = 9*j - m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24662826 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 n = -772.868 - 0.132. Let o = n + 772.99998506. What is o rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -749, -1711, -3061, -4799, -6925, -9439?\nAnswer: -12341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/4 - 0 - 3\/6. Let c(t) = 25*t**3 + 5*t**2 - 2*t + 2. What is the hundreds digit of c(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9521561 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 95533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104 + 104. Suppose 7*z - y = 3*z. What is the greatest common factor of z and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d2eb11 (base 16) to base 5\nAnswer: -12014311422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 47?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*o, -2*t + 4*t + 4*o = -18. Let g be (1*t\/16)\/(-1). Let c be 3\/(-9) + (-4)\/(-3). Is g != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiduyiioidyioyii. Give prob of picking 2 y, 1 o, and 1 i.\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 477, 1059, 1873?\nAnswer: 2919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a690 (base 13) to base 16.\nAnswer: -28812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 69*w - 38*w - 13*w**2 + 107*w.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 96222*u - 114247*u.\nAnswer: -18025*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1589122*l**4 - 2132746*l wrt l.\nAnswer: -19069464*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 125.1787 to zero decimal places.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 452377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -61 + (53 - 27)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p - 151*p**2 - 16*p**2 + 77*p**2 in the form n + f*p**2 + c*p and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t - 23*t + 6*t + 8*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 61803 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2122 + -201?\nAnswer: -2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/7202 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.8 - 9.9. Let i = -295 - -295.4. Which is the third smallest value? (a) -11\/4 (b) x (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*f**4 - f**3 - 3*f**2 - 17*f wrt f.\nAnswer: 1488*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 - 39 = 2*t. Let v be 30\/(-20)*(-12)\/t. Let n(u) = u**3 - 4*u**2 + 3*u. Let h be n(3). What is the nearest to 0 in 0.5, v, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hclcmhlhclczcll. What is prob of sequence lc?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*h + 73*h + 12 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 247 and 11.\nAnswer: 2717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, 31 in ascending order.\nAnswer: 1, 9, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 519 - 564. Put 0, 2, 0.5, p in decreasing order.\nAnswer: 2, 0.5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + (-30)\/(-25))\/(4\/(-610)). Let y = -119 + p. Let -144*g**y - 15*g**4 + 165*g**2 - 70*g + 64*g**3 + 0*g**4 = 0. Calculate g.\nAnswer: -7, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, v: 4, z: 7}. What is prob of sequence vm?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = 2. What is the derivative of 3 + 5 - 3 + a*k wrt k?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 757645*w**3 + 34940*w**2 wrt w?\nAnswer: 4545870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120662548*m**4 - 217*m**2 - 53*m - 133?\nAnswer: -2895901152*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-2)\/(-64 + 2)). Let x = z - 22. Let j be (-6)\/4 + x\/6. Which is smaller: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + -3*(5*sqrt(13)*1 + sqrt(468)*-2).\nAnswer: -2 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -81983*g. Let v(l) = 2*l + 5. Determine v(z(w)).\nAnswer: -163966*w + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*y + r, -2*y - 3 = 3*r - 18. Solve -c + y = 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 + -112. What is the least common multiple of (12\/15)\/((-2)\/(-10)) and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 29406456?\nAnswer: 29406456","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/26)\/(-1*692\/(-96707))?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -475 (base 13) in base 11?\nAnswer: -642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((-12 - -2) + 19)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 16 = -u, -u + 66 = -7*s + 2*s. What are the prime factors of u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -65*u - 6. Is r(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716*u = -2378*u - 32599 - 24896 - 7479 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - (1 + sqrt(52) + 2)) + sqrt(52) + sqrt(52) + 5*sqrt(52)*1 - (sqrt(468) + -4)*-1*-5)**2.\nAnswer: -544*sqrt(13) + 3617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92 + 92.051. Let t = -0.049 - b. Is -23 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1770004900?\nAnswer: 2, 5, 17700049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1 + 27*k**2 + 1. Let w(d) = 29*d + 54*d - 80*d. Give w(r(b)).\nAnswer: 81*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 349521 (base 14) to base 10.\nAnswer: 1792841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 17970*u - 11267191. Calculate x(627).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/75, -1, 0.1, 0.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -10*x + x. What is the second biggest value in -0.2, x, 3, 56?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/81)\/((-50)\/5700*-76).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + 4. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-12)*6\/30?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 3, -1\/3, -2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/15 and -83\/816?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1331023113 (base 4) to base 2\nAnswer: 1111101001011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -4. Let f(r) = r**3 + 4*r**2 - 6*r - 3. Let y be f(c). Suppose -4 = -5*p - y*v + 31, -2*p = -2*v. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 1\/63*t**7 - 7*t + 0*t**3 + 9\/2*t**4 + 19\/45*t**6 + 0 + 33\/10*t**5 + 0*t**2. Determine r so that u(r) = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1161 - 327. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 a factor of 2095162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2) + -4 + -2 - -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*s + 3 - 515*s + 1 + 256*s.\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 233 - 74700?\nAnswer: -74456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x**3 + 2*x**2 - 5*x + 4. Is b(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 + 4*f**2 + 184*f + 159. What is x(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.3, 0, -3 in decreasing order.\nAnswer: 0.3, 0, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**0*a)\/a)**(24\/13)*(a\/a**0)**32)\/((a**1)**(1\/2)*a**1\/((a\/((a*a\/a**0)\/a)*a*a)\/a)) assuming a is positive.\nAnswer: a**(915\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20620313 divided by 20620313.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**2. Let d(w) = -2*w**3 + 11*w**2 + 6*w + 3. Let j be d(6). Let a(q) = 4*q - j*q**2 - 3*q - q. What is a(h(u))?\nAnswer: -108*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 562 + 44 - 9*v**2 - 259 + (v - 3*v + v)*(-3*v - 2 + 2) as m + n*v**2 + x*v and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32633 greater than 32633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (17\/(-68) - 9\/(-4)). Solve -2*k + k = w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4585 - -4647. Solve 0 = o*g - 60*g + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1289*b - 24081 - 21034 = 0 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.025 - 0.01. Let g = -490.48570001 + 490.4507. Let m = g - t. What is m rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 + 0 - 1 + 174*t**2 + 1167*t**2.\nAnswer: 1341*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 1:23 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + v - 16 = 0, -48*f = -49*f + 4*v - 13. What is the second smallest value in f, -14, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4240 and 2316.\nAnswer: 2454960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107 - -110. Let c(b) be the third derivative of -1\/15*b**4 + 3*b**2 + 4\/15*b**p + 0 - 1\/50*b**5 + 0*b. Factor c(k).\nAnswer: -2*(k + 2)*(3*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 246 and 1107?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -95*i + 946. What is the thousands digit of c(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yueytyyr. What is prob of picking 1 e and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x**3 + 6*x**2 - 3*x - 1. Let i(r) = r**3 - r**2 + r + 1. Determine d(m) + 3*i(m).\nAnswer: -3*m**3 + 3*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 16.\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 3*x**2 + 2*x + 20*x**2.\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 + -58. Suppose -y + 2*r = r - 1, 0 = 2*y + 4*r - v. Solve -u + 25 = -y*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8297493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**7\/105 - 5*f**3\/6 + 7*f**2. Find the first derivative of b(h) wrt h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 6:03 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a gram in milligrams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3558*b - 821?\nAnswer: -3558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2)*(0*r - 3*r + 5*r) + 6*r + 3*r - 15*r)*(-6*r + r + 0*r) + 7*r**2 - 2*r**2 - 3*r**2.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-12)*-8)\/((-14)\/6)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 145724.\nAnswer: 437172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -199383*q**5 + 15*q**2 + 11232581*q.\nAnswer: -3987660*q**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (2 - 5 - (0 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odm. What is prob of sequence od?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*s**2 + 150*s**2 - 70*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 + -0.1. Let q = y - -2. Let p = 213.2 - 211.2. What is the third smallest value in p, 1\/7, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/111? (a) 2.3 (b) -2\/11 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 29*d. Let m(c) = -c - 5. Let g(o) = 1. Let v(z) = 5*g(z) + m(z). What is i(v(p))?\nAnswer: -29*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 7*a**2 - a - 4*a**2 as r*a + m*a**2 + f and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 a factor of 352395787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/119)\/((18\/(-2))\/(-18))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -27*w - 6. What is g(-3)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1216196, 1216194, 1216192, 1216190, 1216188?\nAnswer: 1216186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321 - 3?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 161523.8793us in weeks?\nAnswer: 0.00000026706990625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y - 6. Let n = 73 - 50. Let i = -3 + n. What is the smallest common multiple of o(-2) and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65391869 or -65391867?\nAnswer: -65391867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 324*b**2 + 303*b - 7124. Calculate p(-325).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*y. Suppose 5*v - 30 = -5*t, y*v = -t + 3*v - 2. Solve 5*j = t*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-626)*(-3688)\/6. Let m = -702101\/11268 + t. Let w = m - -213\/4. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-1) + (-2)\/((-8)\/12). Suppose h*x = -5*x + 30. Let j be -2*x\/4 - 120\/(-36). What is the closest to -4 in j, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9504 and 0.2?\nAnswer: 1900.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-54))\/(-1 - (-3 - 3)). Which is the nearest to w? (a) 7\/9 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + 1)*25\/(-10). Let w(u) = 9*u**2 + 21*u + 15. Let o(f) = -f**2 - 3*f - 2. Let z(h) = q*o(h) - 2*w(h). Determine s so that z(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 2)*(-3 + 0 + 4)*(-q + 2*q + q).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0659052 to 4 decimal places.\nAnswer: 0.0659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -84*5024427\nAnswer: -422051868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**2 + 3*z + 3. Let s(p) = 16*p**2 + 10*p + 10. Suppose -q - 3*k = k + 20, 0 = q - 3*k - 15. Suppose 10*h - 4*h + 60 = q. What is h*c(u) + 3*s(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 212157749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 4:32 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, -0.4, 10, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q. Let y(r) = 2. Let i(o) = 2 + 0 - 3. Let c(w) = 5*i(w) + 2*y(w). Let b(d) = -2*d + 6. Let f(u) = b(u) + 6*c(u). Give n(f(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*a**2 + 13*a**3 - 18*a**3 + 15051*a**4 + 5*a**3 - 15077*a**4 to the form s*a**4 + w + z*a**3 + c*a**2 + f*a and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20842885 is divided by 6947621?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4 (b) 224 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**2 + 7 - 7 + (0*w + 2*w - 3*w)*(0 + w + 0)*(-597 + 849 - 698).\nAnswer: 451*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 30 + 3 + 7 + 11 to y*p + r and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 1:24 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*q - 1 + 1 + 24*q.\nAnswer: 111*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = 2*n. Is 5 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 460 and 36?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304 (base 6) to base 4.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41a87 + 2?\nAnswer: -41a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6)\/((-279)\/2790).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 b, 1 r, and 1 j when four letters picked without replacement from djhburrju.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -698 - -1567. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -4. Suppose -4*b + 38 - m = 0. Let t(h) be the second derivative of h**5\/20 - 7*h**4\/12 + 7*h**3\/6 - 4*h**2 + 6*h. Determine t(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70050\/3736)\/((-3)\/4).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7742 - 3933. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173858 is divided by 15805.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 - 22*a**2 - 27*a - 5. Calculate the lowest common multiple of c(13) and 72.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from qbnnnbt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -63*s - 24. Let q(h) = -22*h - 9. Let c(a) = -3*f(a) + 8*q(a). Let u(k) be the first derivative of 2\/3*k**3 + 0*k + 1 + 0*k**2. What is u(c(j))?\nAnswer: 338*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -213 - -218. Solve 7*t = f*t + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*l - 49, -l - 172 = -3*s - 17. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 15) in base 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**3\/3 + 11*v**2\/2 + 731*v + 109. List the prime factors of q(0).\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -292 - -301. Let b be ((-21)\/d + 2)\/(14\/714). Put -4, 2, b, -1 in increasing order.\nAnswer: b, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 4. Let s be c(3). Suppose -4 = f - s. Let h(i) = -i**2 + 7*i - 3. What is the units digit of h(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from bbbbssssbssbb.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 103*b + 3. Let n(k) = k**3 + 2*k**2 - k. Let t be n(-2). Suppose t*j - 12 = -j. Is r(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one quarters of a millennium?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -7, 4, -3, -36 in decreasing order.\nAnswer: 4, -3, -7, -11, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2. Let y(n) = -11*n**2 - 40. Let u(v) = 4*v**2 + 13. Let s(c) = -17*u(c) - 6*y(c). Determine r(s(i)).\nAnswer: -8*i**4 + 152*i**2 - 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)*r*r*r**0*r*r**(-2\/19)*r*r**(-6))**22 assuming r is positive.\nAnswer: r**(-1089\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 284 and -41409475534.7.\nAnswer: -41409475250.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 14 = 5*z - y, 0 = 2*z + 4*y + 4. Solve -z + 3 = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3625 - -3621. Let n = 30.79 + -31. Sort 3\/2, h, 1\/4, n in descending order.\nAnswer: 3\/2, 1\/4, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 155\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15435 and 1932.\nAnswer: 29820420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -151.15 or -164?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2 - (10 + -41 - (7 + -29))) + -65.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 13. Let j = 99 - 111. Let l be z(j). Which is greater: 0.4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 0*l + 4*l - 1090*l**2.\nAnswer: -1090*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3308*-0.18.\nAnswer: -595.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 + 2*k**2 + 2*k + 1. Calculate y(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 25*j + 57 = -6*t + 3*t - 36, -62 = -3*j + 2*t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ylnsylslyluss?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10012 + 11?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115438, -230873, -346308?\nAnswer: -461743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04512 and -0.3.\nAnswer: 0.013536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 972844.5 centuries to months.\nAnswer: 1167413400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, c: 5, s: 3, t: 6}. What is prob of picking 2 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 21 + 69. Suppose -5*r = 3*z + z - 69, -2*z = 8. Suppose 3*d + d - r = -5*m, -3 = m + 4*d. Calculate the remainder when s is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 116 + -68. Suppose 2*d + f = 3*c - 440, 2*c - d = 325. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a week in hours?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**2 - 1. Let q be j(-1). Let w = q - 6. Let u = w - -3. Is -1\/2 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1049990*c**2 - 4*c - 14. Let p(r) = -349997*r**2 - r - 5. Let u(g) = 10*p(g) - 3*q(g). Let y be u(4). What is y rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 829\/7380 - 1\/820. Which is the closest to -13\/6? (a) -5 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8 = -0*j. Find the third derivative of 129*v**j - 73*v**2 + 104*v**2 + 7*v**6 - 239*v**6 wrt v.\nAnswer: -27840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299351567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0546576 + 0.16282.\nAnswer: 0.2174776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 - 15*l**2 - 12*l - 45. Is k(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4380818485 to the power of 1\/2, to the nearest integer?\nAnswer: 66188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76460670.\nAnswer: 2, 3, 5, 11, 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - 5*sqrt(66)*-1)\/(2*sqrt(12)\/sqrt(2)) + (3*(1 + sqrt(396) + sqrt(396) + (-1 + sqrt(396) - sqrt(396)) - sqrt(396)))**2.\nAnswer: 3*sqrt(11) + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1388165312?\nAnswer: 2, 21690083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by -1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -p - p - 6, 5*c = 3*p + 5. Let u = -1 + c. Suppose -3*q - 3 = 3*k - 15, 3*q = 3. Solve -k*l - u = -2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 + 207 = 40*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a - 814b?\nAnswer: -8185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -8\/3. Let d = 7.4 + -7. Let y = -0.3 + d. Which is the nearest to y? (a) 0.3 (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 6)*(9*n - 11*n + 20*n) + 2 - 2 - 2*n - 1.\nAnswer: 34*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 7)*(-17*b - 27 + 27)*(-7*b + b - 21*b)*(-3*b**2 + 3*b**2 - 2*b**2).\nAnswer: -3672*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4535 (base 6) to base 16.\nAnswer: -42b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s + 19*s - 9*s - 2*s + 0*s + 79.\nAnswer: -s + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-7)\/(-9) - -1. Let z = 182286.2 + -182286. Which is the fourth smallest value? (a) z (b) y (c) 3\/2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w. Let k(g) = -9300*g + 9300*g + 5*g**2. What is k(o(n))?\nAnswer: 125*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11877 + 14355 = 4*f + 2*s, -s = 3*f - 19672. Let o = f + -3334. Suppose -x + 805 = q, -3*q - 3*x + o = q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4927?\nAnswer: 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -398822, -398824, -398826, -398828?\n\"Answer: -2*b - 398820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 292*p + 5. Give t(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.3257 to 2 decimal places.\nAnswer: 13.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017097522226 to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*r + 4 + 32, -r - 2*k - 11 = 0. Let b be 144\/240*180\/(-8). Is b >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6136*z**2 + 52. Let l(q) = 361*q**2 + 3. What is -3*j(c) + 52*l(c)?\nAnswer: 364*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -328*n**3 - 5*n**2 - 7*n. What is p(-1)?\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + v**2 - 1 - 4*v + 7 + 6*v. What is the units digit of p(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (159\/24)\/(36\/(-16)) and 23\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 10*s - 57. Let l(c) = -49*c + 284. Let t(u) = -2*l(u) - 11*x(u). Let y be t(5). Sort 1, y, 0.1.\nAnswer: y, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2326 and 55001759.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 37 (b) -73 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -42 (b) -1 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 120 = -5*m. Let v be (-2)\/(7 + -6 - 177\/178). Let x = v + 370. Calculate the remainder when m is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.879 - -2889286?\nAnswer: 2889283.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**2 + 174120*t - 108046720 = 0 for t.\nAnswer: 632, 34192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6440 - 6430. Solve -60*j + g*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/12 and -149\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1589 + -1578. Is 31\/3 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -229, -456, -675, -892, -1113, -1344, -1591, -1860?\n\"Answer: -r**3 + 10*r**2 - 250*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -10*t - 45. Let h be f(-5). Suppose 5*w = 4*z, -z + 0*z + h = 0. Which is the fourth smallest value? (a) 3 (b) -4 (c) w (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 159 and 680937.\nAnswer: 108268983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-9)\/(-15))*-20. Let r be -5 + 8 + v\/4*-1. Solve 4*x = -17 + r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -9 (c) 1\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + sqrt(80)\/sqrt(512))\/(sqrt(242)*3 + sqrt(2)).\nAnswer: 9*sqrt(5)\/272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 6.295518.\nAnswer: -1.8886554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*i - 1)*(22 - 54 + 48) - 5*i + 2*i + 5*i to p + y*i and give y.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = -5*o + 5*x, 0*o - x - 378 = -3*o. Let f be 16*(o\/8)\/7. Suppose 49*i - 48*i = 24. What is the highest common divisor of i and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 4.9. Let z = 6.644 - -0.356. Put z, -10, s in increasing order.\nAnswer: -10, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310 a factor of 19676200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 502849511?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 6.7701027.\nAnswer: 7.0701027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12678296*c**2 + 25356585*c**2 - 12678292*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 15*g**2 - 20*g - 106. Give x(18).\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5302332 (base 9) to base 6\nAnswer: 140442002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0463002 - -669484\nAnswer: 669484.0463002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*-1 + 3 - sqrt(20)) + 1.\nAnswer: -4*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -7*i**2\/2 + 43*i - 14. Differentiate c(a) with respect to a.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/(-220))\/((-3)\/(-2)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 29336769?\nAnswer: 29336769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4587, 9175, 13763, 18351?\nAnswer: 22939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 268058075 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(308)*2 + sqrt(308)))\/(sqrt(14)\/(1*sqrt(2))))**2*-5 + -1)*-3.\nAnswer: 23763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -14721 < -14720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-6\/11)*c)\/c)\/((c*c\/((c**(-1\/5)\/c)\/c*c)*c)\/c))**50 assuming c is positive.\nAnswer: c**(-2060\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5\/19 - 3152*a**4\/19 + 69998*a**3\/19 - 500980*a**2\/19 + 1264968*a\/19 - 1035504\/19 = 0.\nAnswer: -1598, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**4\/12 + 5*i**3\/3 - 6*i**2 - 3*i. Let k be o(8). Differentiate -3*y**4 - 15 - 8*y**4 + y**k wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1060537879*r**2 - 17*r**3 + 39*r**3 - 1060537879*r**2.\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(99)\/(sqrt(9)*1)*-5.\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 36*u**2 - 70*u + 68. Let y be w(34). Which is the closest to -1? (a) -1\/2 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-480)\/(-200) + 6\/10. Solve -6 = m*h - 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**2\/7 + 6768*p\/7 + 248320 = 0.\nAnswer: -3104, -280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(153) - (sqrt(153) + 4)) + 5 - sqrt(153)) + (sqrt(153) - 6*sqrt(153) - sqrt(153))*-2 + 4 + -1)**2.\nAnswer: 1320*sqrt(17) + 92645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111202 (base 5) to base 2.\nAnswer: -111101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 3*p + 109, j - 2*p = 2*p + 13. Let u = -5 + j. Calculate the highest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3635222 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-2)*7\/(-7)*-2. Calculate the highest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (2\/6 - 35\/15). Let v = 0 + 1. Solve y + v = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d. Let t(v) = -687*v. Give h(t(s)).\nAnswer: 4809*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -393131, -786255, -1179379, -1572503?\nAnswer: -1965627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - -4*(sqrt(68)*1 - sqrt(68)))\/(sqrt(40)\/(sqrt(10) - -1*sqrt(10)) + sqrt(4)))**2*-3.\nAnswer: -68\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, l: 4}. Give prob of sequence bb.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4 + 681*g**3 + 2*g - 3*g**2 - 683*g**3 + 5 to i + f*g**3 + d*g + v*g**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/3715468 and 91\/5521116?\nAnswer: 590759412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 70633*c + 1791. Let w(o) = o**2. Determine a(w(h)).\nAnswer: 70633*h**2 + 1791","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*l + 197 - 2087 = -2*l for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4431279658 - -2929?\nAnswer: -4431276729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 5*x - 2. Let y be i(5). Let j = y - -4. Let n = 7 - j. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 221.5, -44, 0.3, -1\/3, 0.\nAnswer: -44, -4, -1\/3, 0, 0.3, 221.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 1\/45*n**6 + 5324\/3*n**2 - 2783\/9*n**3 - 9 - 37\/30*n**5 + 15*n + 55\/2*n**4. Suppose a(j) = 0. Calculate j.\nAnswer: 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*-1)\/sqrt(7) + (-1*sqrt(65))\/sqrt(5) + (((sqrt(143) - 2*sqrt(143)) + sqrt(143))*-5)\/(sqrt(891)*-2))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffftfftffffff.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -16, 3*r - 405 = -4*t + 1748. What are the prime factors of r?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 38\/(-171)*3*-3. What is the second biggest value in -12, -1\/4, n, -0.3, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by -7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 5 - 3\/(-2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -5 + -17 - 0 - -2) + -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Suppose -a*o - 1 = m, -2*o - 5*m - 20 = -2. Solve -5 + o = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -9 + -15 + 21?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -32*p**2 - 110*p + 183. Let u(g) = 5*g**2 + 18*g - 30. Let x(c) = -2*f(c) - 13*u(c). Determine x(-14).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + m + 3. Let u be z(0). Solve -3*j - 3 - 27 = 3*c, 0 = -c + u*j + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0*f)**(-49)*(f**(-2\/7)*f)**32)**(-2\/53) assuming f is positive.\nAnswer: f**(366\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9478, 14401, 19338, 24295, 29278?\n\"Answer: f**3 + f**2 + 4913*f + 4563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 40*a**3 + 11*a**2 + 13*a + 30. Let v be (-6)\/4*(-5 + (-70)\/(-6)). Let r be h(v). What is r rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 65170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 76285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1948 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4 = -4*b, -2*c + b - 52 = 0. Let r be 266\/5 + (-4)\/20. Let f = r + c. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6389 or 6235?\nAnswer: 6389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(2 - 3 - 1)*(464 - 15*w - 465 + 187*w + (4 - 2 - 1)*(-2*w - w + 0*w) + 0 + 2*w + 0).\nAnswer: 342*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzi when three letters picked without replacement from {z: 3, t: 2, i: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -s - 2*s. Calculate the common denominator of 44\/6*s\/24 and (0 + -1 - 37\/(-14)) + -3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, i: 4, e: 1, z: 3, f: 1}. What is prob of picking 1 i and 1 z?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2111101 + 1021210200?\nAnswer: 1101022001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 1258.\nAnswer: -19\/1258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.4 (c) 12 (d) -57\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 + ((-42)\/(-2) - 7). Solve -17 = 8*s - k*s + 2*l, 2*l - 1 = 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**4 - 1. Let i(l) = l**5 - 412*l**4 + 45365*l**3 - 89042*l**2 - 3. Let m(r) = 6*g(r) - 2*i(r). Factor m(b).\nAnswer: -2*b**2*(b - 211)**2*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/4265 and -25\/376?\nAnswer: 1603640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4091*u - 935323 = -2351*u - 2796*u + 117809 for u.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21.6361289 and 0.2.\nAnswer: -4.32722578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328*k**3 - 125 - k + 160 + k.\nAnswer: -328*k**3 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -457, -870, -1283, -1696, -2109?\nAnswer: -2522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312811 is divided by 5389.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/32*-4)\/((-14)\/(-16))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 - 59. Let j(c) = -l*c - c + 3*c. Let f(q) be the second derivative of -q**4\/6 + q. Determine f(j(x)).\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 6 = 26 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**7\/2520 + x**6\/720 - x**5\/40 + x**4\/12 + x. Let m(l) be the third derivative of v(l). List the prime factors of m(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6915 + 299. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 11*d**2 + 23*d - 8. Let y be g(-8). Sort y, -5, -11, -2 in increasing order.\nAnswer: -11, -5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-64)\/(-4))*-18*(-104)\/84?\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**5\/20 + v**4\/2 - 3*v**3\/2 - 175*v**2. What is h in g(h) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((1*sqrt(102)*2)\/sqrt(6) - (sqrt(1088) + 2 + sqrt(1088) + sqrt(1088) + (sqrt(17) - (sqrt(68)\/sqrt(4) + sqrt(17))) + 1 + sqrt(17))))**2.\nAnswer: 4752*sqrt(17) + 296532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 2:01 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -4, -8, -7, 29 in increasing order.\nAnswer: -8, -7, -4, -2, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w + 51. Let o be v(-6). What is the highest common factor of 25 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 21. Suppose l = 2*y + 2*l + 2, -2*y + 14 = -w*l. Solve 4*n = y + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 + 470*l - 42. What is w(0)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 581 + -607.25. What is i rounded to zero decimal places?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 7*m - 2*m + 10*m.\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -30. Suppose -q = -2*s + m, -4*m - 7 + 36 = 5*s. What is the second derivative of -s*j - 12*j + 17*j + 0*j**2 - 6*j**2 wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 9:35 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (20 + -4)) + 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1311?\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/7*(-28)\/(-4). Let i(d) = -2*d - 2. Calculate i(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7734*r - 55. Is d(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/3 - 110*k**2\/3 - 1504*k\/3 = 0. What is k?\nAnswer: -94, -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 47 = -2*g + 4*g, -5*j = 4*g - 103. Calculate the remainder when 86 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 23*t + 21*t)*(11*t**2 + 0*t**2 - 14*t**2).\nAnswer: 6*t**3 - 15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1241424 + 1043222?\nAnswer: -143202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 18 + 6. Let j(q) = q**3 - 3*q**2 - 4*q - 2. Let u be j(o). Let g be (u\/3)\/(42\/36). Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in years?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*j**2 + 34*j + 24*j**3 - j**3 - 72*j**2 + 46*j wrt j.\nAnswer: 138*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 + 0. Let x = v - 1. Let l be (7\/84)\/(1\/(-4)). Which is bigger: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 10) + 0\/3. Let p be -3 + (-2610)\/(-27)*(-156)\/r. Let j = p + -606. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uumyuzuzzmzumu. Give prob of sequence mum.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -171521, -344116, -516709, -689300, -861889, -1034476?\n\"Answer: v**2 - 172598*v + 1076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*g + 68 = -g, 4*g = 0. Suppose -3*d = -8*d + 1110. Suppose 0 = -a + d - 69. Calculate the highest common factor of a and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*j + 47*j + 44926 = 17*r, 111983 = 5*j + r. Is j a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-3\/5)*z**(-3)*(z**(-1))**(43\/2))**24)**(-43) assuming z is positive.\nAnswer: z**(113004\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5998138567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/((o\/o**(-2\/15))\/o)*o)**(-1\/34)\/(o**21*o\/(o\/o**(-6\/11))))**(1\/5) assuming o is positive.\nAnswer: o**(-57694\/14025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/12*-15*(-6)\/(-75).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 970 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80*c**4 - 371705*c**3 + 267328179*c**2 wrt c.\nAnswer: 1920*c - 2230230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*x - 4. Suppose x*a + 20 = 7*a. Solve 2*i = -5*n + 5, 0 = 5*i - i - a*n - 24 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -47262 from 18525843320.\nAnswer: 18525890582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 282*(31\/(-9) + 3)*-6. Suppose 218 = -6*r + x. What is r rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -848 + 848.1. Suppose -5*s + 0 = -10, 11 = 3*u + s. Which is smaller: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 14 = -5*p + 17, -4 = 4*p. Suppose -21\/2*f**5 + 99\/2*f**4 + 18*f**k + 12*f - 69*f**3 + 0 = 0. Calculate f.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2634 + -2630. Put 5, -3\/13, -0.5, j in descending order.\nAnswer: 5, j, -3\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 13690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1435789?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -234 + 441. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**4\/12 - 7*b**3\/6 - b**2\/2 - 4994*b. Let f(y) = y**2 - 8*y - 2. Give -3*f(r) + 4*p(r).\nAnswer: r**2 - 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 386? (a) 2 (b) -5\/4 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 - 5*p - 4. Let c be k(-4). Suppose 4*a - 4*y = c, -y = -a + y + 22. Calculate the remainder when 3\/(-6) - (-105)\/2 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 13015?\nAnswer: -13018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1680 or -191147?\nAnswer: 1680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1859, 1858, 1857, 1856, 1855?\nAnswer: 1854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-936)\/(-432) + (-1)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 46 = -3*t, -t = -2*b + 2 + 1. Suppose -3*l + t*l = -20, 3*k - 21 = 3*l. Solve k*q + 0 = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 4*s**7\/147 - s**5\/10 + s**4\/42 + s**3\/7 - s**2\/7 - 17*s. Find i, given that n(i) = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -5, 0.1, -0.03?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 - 1. Let x(d) = -3*d**2 - 2*d - 4. Calculate -6*q(h) + x(h).\nAnswer: 9*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t**3 - 5*t**2 - 6*t - 2. What is h(-2)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -20. What is the third smallest value in 0.08, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 0)\/(-1 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/7)*k**(-4)*k*k)\/(k**(-3)\/(k**(1\/9)*k)))\/((k\/(k*k**3))**(-5))**32 assuming k is positive.\nAnswer: k**(-30116\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 - ((-26 + 4 + 12 - 5) + (3 - -26)).\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -98\/23 at least -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6509 - -6505. Let a(j) be the third derivative of j**6\/120 + j**5\/12 + j**4\/8 + j**3\/6 + 2*j**2. What is a(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3358889134.\nAnswer: 2, 23, 73019329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3756, 2, -2, -82, 13 in decreasing order.\nAnswer: 13, 2, -2, -82, -3756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -11*v - 1. Let c be s(1). Let q = -7 - c. Suppose -81 = -q*p + 3*j, 6*j - 15 = j. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -4*n - 32 + 27, 3*n = 15*a + 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/90*-9 - (-36693)\/810.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 502 = -254 - 368. Solve -y = 6*z - 10*z - i, 5*z - 3*y + 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0598642 to four decimal places.\nAnswer: 0.0599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 337 - 812. Let t = -427 - u. Calculate the highest common divisor of t and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-5)*o)\/o)\/o**(2\/5))\/((o\/o**(4\/3))\/(o\/o**3))*(o**(-3)\/o**7)**(3\/5) assuming o is positive.\nAnswer: o**(-196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 86*k. Let z(i) = 58693*i**2. Calculate r(z(u)).\nAnswer: 5047598*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**3 - 4*t**2 - t + 6. Let p(f) = -3*f**2 - f + 8. Give 3*i(z) - 4*p(z).\nAnswer: -9*z**3 + z - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 284 = 2*l + 20, 0 = l + 4. Let s be 78\/4 + (-2)\/(-4). Is 4\/s - n\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 320 + -9 - (-182)\/(-26). Solve 0 = -35*z + 111*z - c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*sqrt(7) - (sqrt(70)\/(sqrt(40)\/sqrt(4)) + sqrt(7))**2 - (sqrt(7) + -1*(sqrt(7) + 2) + 2).\nAnswer: -29 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2970 divided by -19?\nAnswer: -2970\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3544392 is divided by 918.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/49363 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2676*q + 2671*q = 12*d - 255, -2*q - d - d + 46 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -95*w + 90*w - 30, -428*w + 3*u - 2143 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1135, 4498, 10093, 17914, 27955?\nAnswer: 40210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1674 divided by 558?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 197671 + -1?\nAnswer: 197670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 14*a**2. Let u(z) = 2295*z - 2288*z + 10 - 5. Let g(t) = -16*t + 0 - 2 + 13*t. Let w(o) = 10*g(o) + 4*u(o). Give w(p(k)).\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 + c + 1. Let m = 20 + -16. Suppose -w = w + 2*h + m, 3*w + 4*h + 7 = 0. Let u be f(w). Sort 1, u, -1 in decreasing order.\nAnswer: 1, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -0.03 (c) -1459 (d) 2\/31 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)\/(z*z*z**(-1\/5)*z))**2*(z\/z**(2\/9)*z)**(-1\/11)*z**(-1)\/z**(-1\/8) assuming z is positive.\nAnswer: z**(-31561\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100 + 102. Solve -t*a + 3 = -5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -424, -303, -136, 53, 240, 401, 512, 549?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24696857 to three decimal places.\nAnswer: -0.247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 6:02 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 7*r**3 - 7*r**3 + (0 - 5 + 3)*(-11*r**3 - 4*r**2 + 9*r**3 - 3*r**3).\nAnswer: 11*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 52 = 2*r - 4*p, 0 = 2*p + 8. Suppose 0 = 4*u + 29 + 35. Let v = u - -28. What is the greatest common divisor of r and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*w + 276 - 54 - 49*w)*(-9*w**2 + 5*w**2 + 0*w**2).\nAnswer: -4*w**3 - 888*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000454744 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**4\/5 - 96*m**3\/5 - 12*m**2\/5 + 56*m + 192\/5 = 0 for m.\nAnswer: -1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 676744 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363388.\nAnswer: 2, 90847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**30*q*q))\/q)\/(q**15*q)*(((q\/q**11)\/q)\/q)**(-3\/26) assuming q is positive.\nAnswer: q**(-606\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/29, 5, -0.5, 1\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 471.09*2224\nAnswer: 1047704.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**2*t**5 + 23*q**2*t + 27*q*t**2 + 16414*t**5 + t wrt t.\nAnswer: -60*q**2*t**2 + 984840*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -28234 < -3529168\/125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + -6 - -9 - 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 285898.00002 + -285894. Let b = t + -4. Round b to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1612, -1712, -1812?\n\"Answer: -100*u - 1512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.968155l?\nAnswer: 4968.155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4649 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5 = -r - x, -4*r + x - 5 = 0. Suppose -3*z + r*z = 2*t - 2899, -t - 2902 = -3*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -15 + (-4 - -9) + (24 - 4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r + 22 - 3 = 0. Let m(j) = -28*j - 4. Let v(o) = 19*o + 3. Let b(u) = 5*m(u) + 7*v(u). Calculate b(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {w: 5, n: 1, u: 3, r: 1, y: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/270 - 85*n**4\/54 + 7225*n**3\/27 + 220*n**2. Factor z(v).\nAnswer: 2*(v - 85)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*j - 9*j + 46*j + 4*j**2.\nAnswer: 4*j**2 + 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*s - 0*s. Let v be s\/6 + 7\/21. What is the derivative of -v + 2 - 2*z + 2*z + 6*z**2 wrt z?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-963)\/(-12))\/(40\/(920000\/69))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16586.4 + -16584.4. Let u = 2 - 3. Sort 2.7, u, 0.4, g in decreasing order.\nAnswer: 2.7, g, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 o when three letters picked without replacement from {b: 2, o: 5, u: 6, m: 1, t: 1, y: 2}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 128\/40 + (-12)\/(-15). Suppose s*m = 3*m - 237749. Let w = -355749 - m. Round w to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 4*d - 70, -1006*p + 500*p + d - 6*d - 67 = -510*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -k + 2, -82*k + 37*k + 3*d + 51 = -37*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5098966t to micrograms.\nAnswer: 509896600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 1:09 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2921 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179198.\nAnswer: 2, 89599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39, -71, -103, -135?\n\"Answer: -32*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*x - 54, 4*i + 72 = -0*x + 4*x. Let f(g) = g**3 + 13*g**2 + 20*g - 20. What is the remainder when f(-9) is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 44. Let k be (-4)\/(48\/(-30))*w\/(-5). Which is the third smallest value? (a) 2 (b) k (c) -1\/6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 5*n - 6. Let u be i(-4). Let s be 436\/10 - u\/5. Suppose -13 - 3 = -4*y. Calculate the greatest common divisor of s and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/8 - 235*r**4\/8 - 475*r**3\/4 - 715*r**2\/4 - 955*r\/8 - 239\/8.\nAnswer: (r - 239)*(r + 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -9. Let p = 2 + 0. Put p, 4, a in decreasing order.\nAnswer: 4, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 7*q + 3. Suppose -14*x - 7 = -13*x. Let u be l(x). Let k be u + (-7 - (-3 - -2)). Let c(a) = a**3 + 4*a**2 + 2*a + 2. Determine c(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 118 - -68. Let l = -171 + d. Solve 10*q = 15*q - l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 120695*o**5 + 849*o**2 + 38734*o - 2157 wrt o?\nAnswer: 2413900*o**3 + 1698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4721.\nAnswer: 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i**3 - 50*i**2 + 7*i + 11. Give v(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 22*g**2 + 159*g + 574. Calculate t(-27).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {h: 3, j: 4, p: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -16. Factor 0*o**3 + 0*o**3 - 3*o**2 + 2*o**3 - p*o**3 + 3*o + 3.\nAnswer: -3*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*y + 2*y**2 + 72*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3412275268?\nAnswer: 2, 541, 1576837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2309.\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1610.\nAnswer: -1\/805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjjs when four letters picked without replacement from smsjssssssxjjss?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 19244859.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16158040279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-20))\/((-6600)\/4800).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98 + 12*s**3 + 2*s**3 + 100)*(-2*s**2 - 2*s**2 + 2*s**2).\nAnswer: -28*s**5 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -273, 5, 1046, 4.\nAnswer: -273, 4, 5, 1046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -93947 (base 10) in base 5?\nAnswer: -11001242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-15)\/18)*-1*1)\/(-5).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j*r*x - 4*j*x + 569*j - 9*r*x - 69*x - 2 wrt j.\nAnswer: -4*r*x - 4*x + 569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/5)*c)\/(c*c**(-8)))\/(((c**(1\/2)\/c)\/c)\/((c*c**(1\/8)*c)\/c)))\/((c**3)**(10\/11))**(-1\/12) assuming c is positive.\nAnswer: c**(4951\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 341747098?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 25 = 3*d. Let i = -9 - -15. What is the highest common divisor of i and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278151412 divided by -2?\nAnswer: -139075706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1770.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.04 (b) 2 (c) -2\/7 (d) -833 (e) 2948\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2709.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**5 + 3*v**5 - 7*v**5 + 0*v**5 + 0*v**5 - v**5 + (0*v + 0*v + v**2)*(3*v**3 - v + v).\nAnswer: -6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 - 4*a**2\/3 - 8*a\/3 + 16\/3.\nAnswer: 2*(a - 2)**2*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**5 - 612*r**4 - 1917*r**3 + 11190*r**2 - 2412*r - 14904 = 0.\nAnswer: -6, -1, 2, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 + 5)*(34*s - 15*s - 6*s)*(-3 - 2 + 6)*(-2*s + s + 6*s) in the form t + q*s**2 + m*s and give q.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -336064?\nAnswer: -336060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 127011, -584?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -24*k + 23*k + 73945, -4*a - 2*k + 59162 = 0. What are the prime factors of a?\nAnswer: 2, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2803504282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-32 - -28) + -23\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 1 + 0*m + 1. Let k be d(-3). Suppose 5*r - 2*z - 11 = 0, r - k*r - 3*z + 12 = 0. Solve -r*x + 5 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 415, 1328, 3049, 5848, 9995, 15760?\nAnswer: 23413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2093 and 8?\nAnswer: 16744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**2 + 17*d - 5. What is n(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -855?\nAnswer: -851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 281 - 107 + 440 - 12 + 241 + 815*h wrt h.\nAnswer: 815","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10500 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391157982 a multiple of 2281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 333*(43338\/27)\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2184974188?\nAnswer: 2, 229, 2385343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 1. Let c be 2 - -8 - (a + 1). Suppose 4*f + 0*f - 12 = 0. Solve -3 = 2*l - c, f*l = 5*p - 13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(0 + 4\/178). Suppose -4*x + 23 = -f. Suppose -o = w - x - 192, -1095 = -5*w - 4*o. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 183, 713, 1243, 1773, 2303, 2833?\n\"Answer: 530*t - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9*0.049\nAnswer: -0.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-1 - -2) + -5 + 7)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 653406 at least 654110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12662.\nAnswer: 2, 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75317 - -12050679\/160. What is the common denominator of 57\/40 and q?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/3*(-36)\/14. Suppose -4*d + p = -2*d - 2*s, 4*d = -s + 14. Suppose -2 = -d*b + 2. Solve -b = n + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**2 - 4024*m - 6364. Let n(c) = c**2. Determine q(n(s)).\nAnswer: -2*s**2 - 4024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3966 times 1?\nAnswer: -3966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 7*u**3\/3 - 7*u - 7. Differentiate o(a) wrt a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtsefsk. What is prob of sequence fe?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -28*q + 2. Let p(i) = i**2 - 2. Let f be p(-1). Let l be c(f). Let g = 21 + -11. Calculate the greatest common divisor of l and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 12. Let o(g) = -g + 13. Let h be o(u). Put h, 5, 1 in ascending order.\nAnswer: 1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from {r: 3, z: 8}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2. Let v be (1\/3)\/((-2)\/(-12)). Let c(l) = -v*l + 0*l + 0*l - 2*l. What is c(r(x))?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3. Let q be ((-28)\/(-2))\/(o + 1). What is the units digit of (-10)\/(-14) + 2\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.011 + 4.989. Let i = a + -4.7. Let d = 0 + 0. Sort d, -3\/4, i.\nAnswer: -3\/4, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.3 plus -0.0466?\nAnswer: -10.3466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1637, -3, -97?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j**3 + 7*j**2 - 12*j**3 + 9*j**3 + 2*j = 0. What is j?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/23 - 8\/115. What is the smallest value in a, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4608911 + -1591089. Round w to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181939531 a multiple of 831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide (72\/45)\/(12\/15660)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by -2 + 36\/21 + 642\/42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 6816996*o**2 - 6816992*o.\nAnswer: -4*o*(o - 1704248)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 13*l - 163. Suppose 18*u - 231 = 111. Let n be o(u). What is the greatest common factor of n and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 2*b + 1. Let q = -480 + 485. Suppose 5*h = -0*h + 20. Suppose h*w - 40 = -q*g, 3 = -4*g + w + 14. Calculate s(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*v**3 + 226481*v**2 + 3*v - 2444502.\nAnswer: -12*v**2 + 452962*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8*(-39)\/104*(-4)\/114. Which is the nearest to 2? (a) q (b) -4 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -r + 11, u - 5*r + 7 = 2*u. Let w = -168 - -112. Let b = 63 + w. Solve b*v - u*v = 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 3*u + u**2 - 20 + u + 16. Calculate j(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 305969410 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -257*a*t**2 + 22*a - 4*t - 4 wrt t?\nAnswer: -514*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**3 - 18*r**3 - 14*r**3 + 13)*(-3 + 0 - 2).\nAnswer: 135*r**3 - 65","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(0 + 36\/4554)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o + 47 = -4*p, 3*p + 4*o + 29 = 0. Let h be (0\/1)\/(p + 10). Suppose n - 12 - 7 = h. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = 97*y - 73*y. Is -59\/7 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 6*l + 6*l. Solve -x = 3*d, d + l*d - 2*x = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*i - 0*i + 7910, 2*s + 2*i - 15796 = 0. Does 37 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 126 = -156 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) + (-14)\/(-3). Suppose 0 = s - 3*c - 5 - 11, 3*c = -x*s - 10. Let w = 12 + -5. Calculate the lowest common multiple of w and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 19*d**2 + 1256*d - 1167. What is k(-67)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5) + 1011\/15. Let p(o) = 68*o - j*o + 12 + 3. Let g = -5 + 5. What is p(g)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(1 - -2) - 2. Let f be 2\/(10\/15) - h. Solve f = t + 3 - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270801?\nAnswer: 3, 30089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 957\/1218*96\/88?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314965 divided by -1?\nAnswer: -1314965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -5*t - 29, 22 = -5*g + 7*g - 4*t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-20) + (-6)\/70. Let w = -7.1 + 1.1. Let z = w + 11. What is the closest to 0 in 0.4, a, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 70*u**2 + 116*u + 1245. Let x be z(-10). Calculate the greatest common factor of x and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1427647, 2855292, 4282937?\nAnswer: 5710582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2700 - -2795 - (0 - -50)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-3))\/(2\/(-9)). Let i be (-4)\/6*t\/(-6). What is the third derivative of i - 1 - 3*g**3 - 2*g**2 wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 297.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 224282408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/(10965\/136)*(-1)\/(6\/9).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01928956571 to four decimal places.\nAnswer: -0.0193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -22218.5804 rounded to the nearest 100?\nAnswer: -22200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 5:24 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 2*sqrt(77)*-3)\/sqrt(11) + -5)**2.\nAnswer: 50*sqrt(7) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/s**6))*s**7)\/(s**(-1)\/(s\/(s**(2\/3)*s)))*s\/s**(-1\/10)*s**(-2\/3)*s**4\/(s**(-6)\/s) assuming s is positive.\nAnswer: s**(413\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynemm. Give prob of picking 3 m and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/11, -4\/3, -5 in descending order.\nAnswer: -2\/11, -0.5, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q = 17. Are q and 18 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 + 122.7. What is j rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -1a9b034?\nAnswer: 1a9b031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2339?\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 a when three letters picked without replacement from {p: 2, d: 1, n: 1, a: 5}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5933)\/85 - 1\/5. Let t be 2\/3 + c\/(-21). Suppose -3*n - t*w + 11717 = 0, 4*w + 3715 = n - 196. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*z - 774 = 73*z - 15*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**5\/60 + r**2. Let m(t) = 2*t + 8. Let n(v) = -1. Let j(b) = -3*m(b) - 24*n(b). Give j(g(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0 (c) -0.038\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 2*n**2 - 3*n + 6. Let z be t(0). Suppose j = 5*p - 62, z*p + j = 2*p + 46. Solve p = -40*k + 36*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11\/112 - -17\/112. Let i = -16.2 + 14. Let k = i - -2. Which is the third biggest value? (a) d (b) -0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 9, 10, 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19495246800 rounded to the nearest one million?\nAnswer: -19495000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 23*t**2 + 18*t + 7. Let s(f) = -f**3 + 21*f**2 + 17*f + 7. Let m(c) = 6*k(c) - 7*s(c). Give m(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -12*m - 69. Let i be t(-6). Solve 9 = i*y - 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -54, -4 in ascending order.\nAnswer: -54, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7372 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzqz when four letters picked without replacement from {f: 4, q: 7, z: 7}?\nAnswer: 49\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/4)\/(((v\/v**(3\/5))\/v)\/v))**(-4\/27)\/((v**(1\/2)\/v*v)\/((v\/(v*v**(-3\/5)))\/v)*(v**(1\/2))**(1\/26)) assuming v is positive.\nAnswer: v**(-8897\/7020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (27 - 16) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.65 + -1.05. Which is the smallest value? (a) f (b) -1\/4 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006102 to 6 dps.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-45)\/(-27))\/(20\/16). What is the smallest value in -5, h, 21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/15*4*(-15)\/6. Suppose 0 = q*l - 4, -j + 19148 = -l - 20850. What is j rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*p - 13, -4*b - p + 71 = 60. Let -4\/5*n + 2\/5*n**5 + 0 + 2\/5*n**3 + 6\/5*n**4 - 6\/5*n**b = 0. What is n?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6274, -12917, -19560?\n\"Answer: -6643*d + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*d - 276 = 48*d + 1196 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3*v**2 + 29*j**3 + j**2 - 4*j*v + 12*v**2 + 3 wrt v.\nAnswer: 4*j**3*v - 4*j + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -272, -517, -758, -995, -1228?\n\"Answer: 2*z**2 - 251*z - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123322451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146*a**3 + 32*a - 4?\nAnswer: -876*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/15895 and -74\/651695.\nAnswer: 651695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucbcububngib. Give prob of picking 1 i and 1 g.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (305*a**2 + 8235 - 8235)*(-12*a**2 + a**2 - 2*a**2) + 4*a**4 - a**4 - a**4 as g*a + r*a**4 + b*a**2 + o*a**3 + j and give r.\nAnswer: -3963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c - 4. Let d(v) = -5*v - 9. Let t(x) = -4*d(x) + 9*i(x). Let g(s) = 3*s. Calculate t(g(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2, -176.85?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 13*k + 636 = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -8\/9, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140522263 (base 7) to base 3.\nAnswer: -122012210120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 - -42?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 15557200*d + 264473556.\nAnswer: -4*(d - 17)*(d + 3889317)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10806 - 166994819.\nAnswer: -166984013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 1. Let a(n) = -6*n + 3. What is -6*a(z) - 18*b(z)?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (-4012)\/153 - 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1175, -3660, -6147, -8636, -11127, -13620, -16115?\nAnswer: -18612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2720)\/102)\/((-2)\/3). Suppose 0 = -4*c + 2*c + 40. Let f = y - c. Solve 0 = -4*m + 4*b + b + f, 0 = -3*m + 3*b + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 68395896?\nAnswer: 752354856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a - f - 25, 31 = 3*a + 2*f. Let g be (-8)\/16 - (-23)\/2. Let x = g - a. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(77) + sqrt(77)*-1)*3)\/sqrt(7) + (sqrt(1331) - sqrt(1331)*-2) + -5).\nAnswer: -15 + 99*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 10*i**2 - 17*i + 11. Let y be c(8). Calculate the common denominator of 141\/27*y\/2 and 19\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 23*y - 26*y + 640 = -6*y. Let r be (-13)\/5 + 6\/(-15). Sort 0, y, r, 1 in descending order.\nAnswer: y, 1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(10\/3)\/p)**17\/(p**(-5\/4)*p**5) assuming p is positive.\nAnswer: p**(431\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36361, 72714, 109067, 145420, 181773?\n\"Answer: 36353*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105121 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 + 26612*d**3 - 44275712*d**2 + 44249104*d.\nAnswer: -4*d*(d - 3326)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**5\/3 - 50*g**4\/3 - 106*g**3 + 54*g**2 + 1008*g + 864 = 0?\nAnswer: -12, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 + (-3611)\/115 + 10)*(-140)\/(-6)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**3 - 351*f**2 + 1818*f - 1464 = 0.\nAnswer: -122, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -22 - 41. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/9 - (3*36)\/3. Find the common denominator of -53\/30 and (-6 - (-15)\/2) + 109\/z.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 408 + 408. Let o(k) = -3*k - 2. Let n(c) = 9*c + 7. Let r(h) = 4*n(h) + 14*o(h). Determine u(r(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1000965188384 - 1000965188384 + 2*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -2.5. Let f = y + -0.5. What is the smallest value in -0.4, f, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -26, -31, 0.1, -0.066, -2\/9 in decreasing order.\nAnswer: 4, 0.1, -0.066, -2\/9, -26, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 4) in base 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*(-1 + sqrt(3)).\nAnswer: -12 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54103 (base 9) in base 6?\nAnswer: 433433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g - 3. Suppose b = 5*f + 2, 2*b - 5*f + 0 = -1. Determine l(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 1)*-3.\nAnswer: -21*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -997156 or -997100?\nAnswer: -997100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25534147931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 13*o - 216 + 0*o**2 - 11*o + 4*o.\nAnswer: -2*o**2 - 20*o - 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/(-16))\/(1530\/32640).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*z - 2*t, z - 2*z + 2*t = 3. Let w = 0 - -1. Let x be (4 - 7 - -2)*w. Put z, -3, x in ascending order.\nAnswer: z, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 10)\/((-84)\/(-56))*(-648)\/(-198).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 5:34 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13751070 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 2 - -1) + 13\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/248 and 13\/11.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2112132 (base 4) to base 5\nAnswer: -302010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tew when three letters picked without replacement from ffwefttwffttmfwftmt?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -61?\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 197298.\nAnswer: 1\/197298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 222, 2571, 9084, 21843, 42930, 74427, 118416?\n\"Answer: 347*z**3 - 80*z - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7136065 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: In base 9, what is 305 + -31?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1584) + 1*sqrt(1584) + 4)**2 + -5 + sqrt(891)*2 + -2)*-6.\nAnswer: -38070 - 1260*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/51 (b) -2.03 (c) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52410.\nAnswer: 2, 3, 5, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1363*b - 55883. Calculate y(-41).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70891 smaller than 70892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 1. Let q(c) = -c**3 + 6*c**2 - 4*c + 4. Let b be q(5). Suppose b + 1 = -5*f. What is v(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/9 and 52\/129.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 8\/93, 3, -3 in ascending order.\nAnswer: -3, 8\/93, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*r - 834 = 33, 872 = 5*w + 2*r. What are the prime factors of w?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 26, 45, 70, 101?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 590658 and 5315922?\nAnswer: 5315922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**2 - 4*s + 2. Let o be r(1). Let m(p) = -16*p**2 + 4*p. Let h(a) = a. Calculate o*h(j) - m(j).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6402929 is divided by 1293?\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 28 = 4*v, 93*v = -g + 88*v + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)\/t**(-2))**(-1\/3) assuming t is positive.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 - 3*u**2 - 44*u - 60*u + 13 - 2*u**4 + 105*u + 5*u**2 to c*u**3 + w*u**2 + h + t*u + a*u**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x, c - 3*x - 440 = -0*x. Suppose 2*n + 2*v = c, 4*v + 6 = -n + 232. Suppose 10*q - n = 4*q. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413175 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02296844196 rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94805 is divided by 392?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(60) - (1*sqrt(420))\/sqrt(7))\/((sqrt(240)\/sqrt(4))\/sqrt(12))*-1 + -4))**2*-4.\nAnswer: -1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 187, -4, 3, -19\/6, -2.\nAnswer: -4, -19\/6, -2, 3, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28017 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 + 159972\/20 + 3\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 2*y**2 + 3*y + 45. Let d be j(0). Calculate the common denominator of -53\/50 and d\/(-500)*(-62)\/(-3).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 44*k + 918. What is g(-20)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4) - 27\/(-6). Suppose 2*h = -0*h - v. Let p be (-10)\/(-35) + 2\/(-7). Sort p, 2, h in descending order.\nAnswer: 2, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*g + 6*g = -684, -3*h = g - 503. Let w = h - 169. Solve o - 1 + 3 = w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**4 + 16*p**3*s**2 + 3*p*s**2 + 1594*s**2 with respect to p.\nAnswer: 4*p**3 + 48*p**2*s**2 + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 25*f**2 - 4*f - 100. Calculate k(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155899142 a multiple of 873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*g - 4. What is the units digit of (-54)\/(-10) + g\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*l**2*n - 52*l**2 - 10*l*n + 2*l - 26*n - 3747 wrt n?\nAnswer: 9*l**2 - 10*l - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1957 by -6.\nAnswer: 1957\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 6:52 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**2 - 7249 + 7244 + 0*c**2 - 24*c**4 - 2*c**3 + 4*c**2 + 2*c + c in the form x*c + j*c**3 + k + f*c**4 + n*c**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*q - 3*q = -44787, -15 = 3*q. Suppose -202609 = -3*g - 5*p + c, 4 = 2*p. Round g to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-2)\/(-18))\/1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23517451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1410366 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*d + 135. Calculate the common denominator of 9 - 10 - d\/(-8) and -5\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 7*p**2 + 7*p - 3. Let k be q(6). Let z(x) be the second derivative of x**4\/12 - x**3\/2 - x**2\/2 - 10*x. Determine z(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.044 in -1, 4, 13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 922*h + 4 - 941*h - 4 to p + q*h and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -187\/3 (b) -17 (c) 2\/5 (d) -3\/5 (e) -1 (f) 28 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -220*q**2. Let c(z) = -72 + 37 - 84*z + 90*z + 35. What is o(c(n))?\nAnswer: -7920*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 1:42 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*s - 1011 = 0, 2*p - 3*s - 408 = -s. Let n = -383 + p. Is -181 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1521353987116 less than -818?\nAnswer: 1521353986298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -0.4 (b) -0.19 (c) 187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.25 + -7. Let u = -26.95 - m. Let s = -24 - u. Which is smaller: -8 or s?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*i**2 - 995*i**2 + 334*i**2 + 143*i**3 - 137*i**3 + 328*i**2.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 350\/56 - (-5)\/(-4). Let v be 14\/(-20) + 3\/6. Let f = 28 - 27. Which is the nearest to f? (a) y (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + n = 2*n + 219, 3*i + n = -133. Let g(z) = 13*z. Let w be g(-2). Let x = w - i. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 16. Solve 3*q - 2 - 7 = r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*f + 193 - 193 + 1 + 2*f - 1 - 5 - f + 5 + (2 - 2 - 2*f)*(0 + 3 - 1) + f - 2*f + 0*f - 2*f + 4*f - 3*f as r + o*f and give o.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*b**2 - b**2 - 10*b**2 + 1318*b - 125*b + 3*b**2.\nAnswer: -46*b**2 + 1193*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -28320031.9 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3403390513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54*(7 - 28\/(-8)*-1). Calculate the highest common divisor of f and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 22. Let m = -150 + 152. Suppose -2*z - k + 45 = 0, -2*z + m*k + 30 = -z. Calculate the greatest common factor of z and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -117*v**2 - 2*v - 27. Let u(q) = -117*q**2 - 2*q - 23. What is -6*u(i) + 5*x(i)?\nAnswer: 117*i**2 + 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 1874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 82*y**2. Let j(g) = 2*g**2 + 118*g - 21. Determine j(f(s)).\nAnswer: 13448*s**4 + 9676*s**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 4*s**2 - 2*s**2)*(55 + 4*s - 55).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17899 - 15859. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 - 13*o - 38. Determine f(-9).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6953 and 57160613.\nAnswer: 6953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -165, -249, -333, -417, -501?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three quarters of a year?\nAnswer: 129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*k - 13*k + 12*k)*(5 + 5 - 12)*(4 + 2 - 4).\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 10*d - 4. Let p be o(9). Suppose p*y = -9 - 1. Let a(j) = 0*j + 0*j - 3*j. Let r(c) = -4*c + 1. Give y*r(m) + 3*a(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 0 + 0 + 9 - 6. Let f(j) = j + 4. Let i(n) = -n**2 + 6*n - 6. Let x be i(4). Give x*f(u) - 3*g(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33)\/(-22) + 102\/4. Let t = 25 + n. What is the greatest common divisor of 8 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 40 = 16. Calculate the remainder when 60 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26686 - 29*s + 26879 - 20*s)*(3*s + 3*s - 5*s).\nAnswer: -49*s**2 + 193*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 111122020?\nAnswer: 111122001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/9 + (-3530)\/(-9). Suppose 0 = -5*u + 88 + i. Calculate the greatest common factor of 24 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 u when four letters picked without replacement from uzzuuzuuuzuzzuuzzzuu.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 711935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (651 - 670) + 10 + -6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 6:58 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1, -30, 6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -137 (b) 3\/2 (c) 2\/137 (d) 0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r**2 - 15*r + 32*r - 17*r. Let q(l) = -4*l. Give q(p(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6901 * -0.33.\nAnswer: 2277.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 495728387 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -6 (c) -39 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1008726*p - 8435*p**3 + 8433*p**3 - 1008726*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - 42*w + 125*w + 29*w + 88*w + 4*w**2 to h + k*w**2 + a*w and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 1. Let d = -15 + 8. Let g(v) = -v**3 + 39*v**2 + 47*v - 244. What is the lowest common multiple of i(d) and g(40)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94859*b - 94840*b = -171 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z - 31*z + 3 = -4*j, -2 = 2*z + 3*j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 7 = 3. Suppose 0 = -k*b - 0*b + 94. Suppose 2*r = b + 1. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1700) + -3)**2*-2.\nAnswer: -6836 + 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43219\/899 greater than 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**5\/20 + 7*w**4\/12 - 5*w**3\/6 - 7*w**2\/2 + 3*w. Give m(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 243*i**3 + 61 - 111*i**3 - 18 - 20.\nAnswer: -354*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6591 - 988*o**3 - 6591)*(-o**2 + 2*o**2 + o**2 + (-6*o + 3*o + 2*o)*(-2*o + 4 - 4) + o + 2*o**2 - o).\nAnswer: -5928*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3f (base 16) in base 3?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + (2 + (sqrt(242)*-2 - sqrt(242))*4 - (sqrt(242) + 2 + 1 + sqrt(242) + sqrt(242) - (sqrt(242) + 0)*-5)))**2.\nAnswer: -440*sqrt(2) + 96801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 > 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 255 + -6119\/24. Let i = f + -7\/24. Do i and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37333777 + -4?\nAnswer: -37334003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide (-2516)\/(-51) + 1\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5562, 5650, 5738, 5826, 5914?\nAnswer: 6002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3322 divided by 11\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 16, 1, -470 in ascending order.\nAnswer: -470, -3, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, 4, 1, -14011, 3.\nAnswer: -14011, 1, 3, 4, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g - 2 + 2)*(0 + 2*g + 0 + (2 - 2 + 2*g)*(-4 + 3 - 1) + 0*g + 11*g - 2*g) in the form w + y*g**2 + d*g and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 6:39 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 7*f - 45 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 - 10*y**2 + 1 + 2.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**24)**(-1\/6)*g*g\/g**(19\/3)*g\/(g\/(((((g*g**7)\/g*g)\/g)\/g)\/g))*g*g assuming g is positive.\nAnswer: g**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 15 = 10*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12d2 + -442?\nAnswer: c90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**5*v**(-4\/7))\/(v**(1\/6)*v**(-4)))**43 assuming v is positive.\nAnswer: v**(14921\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -448, -391, -324, -247, -160, -63, 44?\n\"Answer: 5*g**2 + 42*g - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + (-50)\/6 + 2. What is the biggest value in t, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35.1 + 18. Let r = 17 + d. Let y be (-4)\/6 + 1 + -1. Sort 3\/4, r, y in descending order.\nAnswer: 3\/4, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5185*g + 210332 = -100768 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i + 65. Calculate t(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30146*j**2*k**2*z - 3*j**2*k**2 - 39*j**2*z + 5*k**2 - 68102 wrt z.\nAnswer: 30146*j**2*k**2 - 39*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2, -5, -0.5, 3.\nAnswer: -5, -2, -0.5, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2395 + -0.0895. Which is the biggest value? (a) 1\/4 (b) -3\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38352 by -799.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*u**2 - 127*u + 562*u - 118*u - 380 - 5*u**3 - 117*u = 0. Calculate u.\nAnswer: -2, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25462162931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*r + 2*r = 4, 0 = -5*s + 2*r + 12. Factor -23 - 2*z - 3*z**s + 25 - 3*z.\nAnswer: -(z + 2)*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 12, i: 3}. Give prob of sequence ilii.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -43. Let w = z + 26.9. Put -1\/8, w, -13 in descending order.\nAnswer: w, -1\/8, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3645 (base 7) in base 2?\nAnswer: -10101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 547339 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2. Let s(o) be the second derivative of o**3\/6 + 21*o**2 - o. Does 15 divide s(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 176, 170, 162, 152, 140?\n\"Answer: -j**2 - 3*j + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 7:20 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -872042 * -0.23.\nAnswer: 200569.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62932 is divided by 157?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -86675, -173341, -260007, -346673?\n\"Answer: -86666*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1769900?\nAnswer: 2, 5, 11, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 270 - 225. Suppose 9*a = 8*a + k. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -979907*t**2. Let f(q) = 1292*q**2. Give f(o(i)).\nAnswer: 1240601305414508*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 5*n + 4*k, 0*n - 63 = -3*n + 3*k. Let d = -346 + 347. Let a be (-20)\/30 - d*33\/(-9). Solve a*u - 5*t = 6 - n, -16 = 4*u - 4*t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r - 3*r + r + (-4*r + 2*r + r)*(2 - 1 + 0) - 5*r - 4*r + 5*r + r + 2*r - r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -3*j - 3*d + 6*d, -4*d - 53 = -3*j. Suppose 5 = -4*a - j. Let y = a - -133. What is the highest common divisor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x + 1. Let n(p) = 18*p + 4. Let r(v) = 11*k(v) - 2*n(v). Let g(w) = -25*w - 10. Determine -3*g(l) - 10*r(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 910 and -0.8.\nAnswer: 909.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 72636471 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**4 - 78*u + 39*u + 10*u**2 + 44*u + 48*u**3 wrt u?\nAnswer: -72*u + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 0, 3*w - q + 15 = 8*w. Let l be -2*-1*10\/4. Suppose 2*g - 1 + 11 = i, w*i - l = g. Solve 3*v + 0 + 6 = i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 7*q**3 - 17 + 861*q - 859*q + q**3 + q**2 to the form i*q**3 + x*q**2 + h*q + f and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -3 (c) 52 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - c = 30331, -1509*c + 20 = -1505*c. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51364106.\nAnswer: 2, 17, 19, 23, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 22. Let s be r(-12). Suppose 17*j - s*j = 21. Suppose j*f + x + 360 = 5*f, -3*f + 4*x + 545 = 0. List the prime factors of f.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-14) + (-2070828)\/(-322) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -18 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 55*h**2 - 2*h - 55. Is z(-55) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-282)\/(-8) - (-3)\/4. Let r = j - 31. What is the third derivative of 5*n**2 + 8*n**r + 13*n**5 + n**5 - 14*n**2 wrt n?\nAnswer: 1320*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -25027?\nAnswer: 1\/25027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 12*h - 2629. Let a(s) = -5*s + 1316. What is 5*a(j) + 2*b(j)?\nAnswer: -j + 1322","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.047 + -41.953. Let n = y + 37. Which is the nearest to 3? (a) n (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x**2 - 6*x + 6. Let v(p) = -19*p**2 + 13*p - 13. Let g = 37 - 24. What is g*m(h) + 6*v(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24480 divided by 306.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 4 + 96 = 0. Suppose -6 = -0*j - 3*j. Solve -m - j = -f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11260866 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4 = -2*u - 18, -4*k = 2*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11, 3, -25, -79, -165, -289?\n\"Answer: -m**3 - 4*m**2 + 11*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 8*p - 8. Let y be h(5). Let r(w) be the third derivative of -4*w**y + 1\/120*w**5 - 1\/8*w**4 + 3\/4*w**3 + 0 + 0*w. Factor r(q).\nAnswer: (q - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1204, 2416, 3628, 4840, 6052?\n\"Answer: 1212*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.111469034 rounded to 4 decimal places?\nAnswer: 0.1115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -63, -426, -1377, -3210, -6219?\n\"Answer: -49*q**3 - 20*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2001*x + 82202 = -214*x for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 9. Let j(x) = -4*x + 1. Let h be j(n). What is the highest common divisor of 14 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/10)*f*f\/f**(-16)*(f**(-7\/4))**(8\/13) assuming f is positive.\nAnswer: f**(2239\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**7\/12600 + d**6\/720 - d**5\/12 - 9*d**4 + 240*d. Let l(p) be the third derivative of j(p). What is z in l(z) = 0?\nAnswer: -10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*z + 1698 = 46*z - 34*y, 2*y - 446 = -z. Calculate the smallest common multiple of 2668 and z.\nAnswer: 10672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-51)*(-4)\/(-1288)*391.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 921*v**3 + 67 - 67 + 6816*v**3.\nAnswer: 7737*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -216, -756, -1814, -3564, -6180?\nAnswer: -9836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 u when three letters picked without replacement from jnunnjujjdnjnju.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14413 and 54173.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18669?\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4359)\/(-3))\/(14\/70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30125.36 to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 11*k**4 + 62*k**3 + 29*k**2 - 138*k - 9. Let i(o) = 3*o**4 + 16*o**3 + 7*o**2 - 34*o - 2. Let x(b) = 9*i(b) - 2*j(b). Factor x(s).\nAnswer: 5*s*(s - 1)*(s + 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (54\/(-4))\/(2\/(-4)). Let i(j) = j**3 - j + 15. Let o be i(0). Suppose o*d - 14*d = 216. What is the highest common divisor of l and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 8:38 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609 + 169 = -43*j - 0*j + 893 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 50 - 1184 = 2*a, -u + 4*a + 579 = 0. Let o = 565 - u. Solve -o*x - 2*x - 4 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.6 + 17. What is the nearest to -1\/3 in -2, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 f when four letters picked without replacement from fxfoffxozxxxfxfffo?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**6\/120 - w**5\/60 + w**4\/24 - w**3\/6 - 180*w**2. Let k(d) = 10*d**3 + 9*d**2 - 7*d + 9. Calculate -2*k(y) - 18*z(y).\nAnswer: -2*y**3 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*h - 18. Suppose b = 2*b - h. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 + 2)*(4 + 0 - 3) + 10 - 4 + 2)*(38*p**3 + 20*p**3 - 6*p**3) as a*p + o*p**3 + s + y*p**2 and give o.\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 0 + 3 + 2 - 3. Let t be z(0). Solve -4 = -3*i + t*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1250*p**3 - 2510*p**3 - 1 + 1253*p**3 - p - 2*p**2 - 61*p**4 to o*p + m*p**3 + q + r*p**4 + w*p**2 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + (11 - 2) + 14 - 120) + (14 - 2)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w - 11. Let u be m(-6). Let o be 2\/(3 - (u - -1)). Solve 5*y - i = -3*i - 2, -o*i = -5*y - 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.792 * -7.\nAnswer: 33.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 40 = -7*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 974*g**6 - 5579*g**4 + 87748*g**2 + 2 wrt g?\nAnswer: 116880*g**3 - 133896*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/(-55) - 26\/(-60). What is the closest to 0.1 in u, 2\/13, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 12:51 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, 0.2, -2, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 8:12 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -798*n**2 - 193*n**2 - 2*n + 350*n**2 + 137*n**2 - 2923*n**5 wrt n?\nAnswer: -175380*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.24008 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (1 + sqrt(72))*1 + 3*sqrt(72) + 4 + 3 + -4.\nAnswer: -3 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 12. Suppose m - 37 = -3*h, h + s*m - 15 = m. Find the third derivative of 8*o**2 - 30*o**4 - h*o + 29*o**2 + 13*o wrt o.\nAnswer: -720*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -61, -47, -25, 5, 43, 89, 143?\n\"Answer: 4*v**2 + 2*v - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32046 by 14.\nAnswer: -2289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 3*a - 9, d - 1 = 1942*a - 1945*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) 0.05 (c) -6\/323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and (529 - -1)*94\/235.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 15 + 8)*(-3*d**2 + 6*d**2 - 4*d**2)*(-3 - d + 3).\nAnswer: -32*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*f - 12 = 0, 2*h - 5*f - 29 = 39. What is the third derivative of -167*o**5 - h*o**2 + 0 + 0 + 189*o**5 wrt o?\nAnswer: 1320*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.5 + -42.5. Let w = 46141\/4 - 11535. Sort 4\/7, c, w in ascending order.\nAnswer: c, w, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1247.\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2708*c + 2707*c - 3, -y + 5*c = -19 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2524757 + 596642999967\/236317. Let t = u + 30957779\/29775942. Find the common denominator of -25\/51 and t.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 1:36 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 - (-1 - -4) - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-144))\/((-7)\/(-315))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*j + 88. Suppose -56 + j = -4*f. Suppose -l - f = -18. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -340009*i**2*o**2 + i*o**2 - 15*i - 499*o**2 + 5*o - 2 wrt i.\nAnswer: -680018*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 10001010010110?\nAnswer: 10001010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 1. Let n be 432\/(-1071) + o\/(-34). Let a be 20\/21 - (-4)\/(-6). What is the nearest to -1 in a, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19248)\/(-12030))\/((-68)\/(-15))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356 = -4*f - 4*i, -i = f - 4*f + 259. Let d = -87 + f. Solve -5*s = -p + 9, -3*p - 2*s + s - 5 = d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/140)\/(3\/6)*13\/(-104)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40136435 is divided by 268?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*w = 2*n - 62, -w = 1. Is n\/((-3)\/24*-6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -14*s**2 + 2. Suppose 64*n = -139 + 203. Determine b(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 550 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -18.5 at most 0.266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-53)\/(-28) - (-417)\/(-556))\/(-1).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7. Is 12 a factor of (-10)\/5 - (-38 - t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*k - 13 - 19 = 0, 0 = 2*q + 3*k - 20. Suppose -2*h - q*p - 9 = 5, 3*p = 5*h - 30. Let o = 5 - h. Solve 0 = u + o - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/7*(-1498)\/(-1284))\/(5\/99).\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 - 3*a - 2. Let c be q(-1). Let f = -5 - -5. Let s = 386 + -384. Solve c*l - 4 - s = f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -186*n*q**3 + 221*n*q**2 wrt q?\nAnswer: -1116*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15897 - -111280\/7. Factor 4\/7 + i*h**4 + 6\/7*h**3 + 12\/7*h + 13\/7*h**2.\nAnswer: (h + 1)**2*(h + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/18, 228353, -0.2?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 37*t**2 + 5832*t - 223066. Give k(38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(-1\/8))\/(y*y**(-3\/8)))**(1\/7))**30)**(-43) assuming y is positive.\nAnswer: y**(-645\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 42\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*g - 13*g - 11*g - 7*g - 7 - 5*g - 6*g.\nAnswer: 2*g - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259, 178, 97?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 109*a**2 - 11*a + 3. List the prime factors of f(-3).\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + c**2 + 0*c**2)*(-55 - 52 - 35)*(4*c + c - 4*c).\nAnswer: -284*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2238 and -38.7442.\nAnswer: 2199.2558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/28 + (-2)\/7. Let z = -4183 - -4182. Which is the third smallest value? (a) z (b) 0.2 (c) -5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 7:51 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**42*p))**33\/((p*p\/(p*p*p*p*p**(-48)*p))\/(p**16\/p*p)))**18 assuming p is positive.\nAnswer: p**(-25470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -49*i**3 + 6*i**2 - 20*i + 27. What is the hundreds digit of a(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*g + 12, 2*i + 2 = -g + 3*g. Suppose 0 = g*w - x - 3072, 9*w - x = 4*w + 7677. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 12 = 9*g. Solve -g*a + 24 = 4*h, -2 = -a + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120949028.\nAnswer: 2, 73, 414209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18527355 divided by 37429?\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140301, -2, 3, -4.\nAnswer: -4, -2, 3, 140301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5159 = -54*n + 57*n, -5*n + 8570 = -4*b. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 604933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(36)\/(2*sqrt(1452)) - ((sqrt(33)\/(sqrt(11)*-1) - sqrt(1200))**2 + -4).\nAnswer: -1319 - sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 k, and 2 z when four letters picked without replacement from eezkezzeke?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04, -5\/2, -40\/51?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16372409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 4243625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208893988610 + 208893988610 - 3*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 2. Suppose a - p*a + 8 = 0. Let x be 207\/54 + 3\/18. Solve -a*g + x*g = 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.6 + 1.6. Let t = -26 - h. Let q = 20.8 + t. Round q to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1023\/(-31))*((4 - 5) + 2).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/c)**15*(c*c**(3\/4))\/c**(-2\/7) assuming c is positive.\nAnswer: c**(-363\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2644432.\nAnswer: 2, 7, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39259710 and 160?\nAnswer: 628155360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2. Suppose 179 = 20*v - 461. Suppose v*m + 8*m - 120 = 0. Solve s*x - 2*t = m*t - 18, -2 = 2*x - t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1544 = -3*i - 5*v - 1576, 0 = -3*v - 9. Let d be i\/(-23)*1\/3. Is d at least 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48395*r + 24920*r + 24334*r.\nAnswer: 859*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1276\/3834 - 8\/24. Let i = u - -162961\/30672. Calculate the common denominator of 23\/3 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -364.462 - -0.462. Let z = a - -364.1. Which is bigger: z or -103?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/5252133 and -73\/3398439.\nAnswer: 57773463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q - 7. Suppose 3*k + 5 = -8*w + 10*w, -k - 1 = 0. Give l(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33529?\nAnswer: 33529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4277089.\nAnswer: 37, 115597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 7*o**4\/12 + 11*o**3\/6 - o**2 - 4*o - 57. Determine v(5).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 1666.\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/28 + (-6)\/8. Solve 4*m + w*n = 2*n + 2, 3 = -m + 4*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1095629658?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -137206 or -137204?\nAnswer: -137204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**3\/3 + u. Let b(a) be the third derivative of 7*a**5\/30 - a**4\/12 + 19466*a**2. Give b(l(o)).\nAnswer: 56*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 74628.26 litres in millilitres?\nAnswer: 74628260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54906833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08756 + -4.55456. Round l to one dp.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + -88.1. Let u = m - -37.9. Let i = 134\/7 - 19. Which is the nearest to u? (a) 0 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-280)\/8400)\/((-28)\/315).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1108177743.\nAnswer: 3, 23, 127, 126461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 523720880 divided by -261860440?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 smaller than 100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 17*l**3 + 6*l**2 - 161*l - 5. Let u(t) = 13*t**3 + 5*t**2 - 161*t - 4. Calculate -4*h(c) + 5*u(c).\nAnswer: -3*c**3 + c**2 - 161*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 942 = -14*j + 8*j. Let q = 162 + j. Solve 2 = q*u - 3*g, 3 = -u + 3*g + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -4678?\nAnswer: -4678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 4*r = -5*w + 200, 0 = -7*r + 11*r + 20 for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7034 + -6569.7. What is d rounded to the nearest 10?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.23 + 0.37. What is n rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from {w: 1, z: 1, l: 6, u: 2, b: 2, n: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 - 2*b + 6. Let m(x) = 3*x**2 - 2*x + 5. Give -2*j(d) + 3*m(d).\nAnswer: d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -8 - (27 - 49)) + -2 + 57 + -1?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1297440 is divided by 559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -268, -773, -1614, -2791?\nAnswer: -4304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*a = -6, -5*w + 2*w + 5*a + 37 = 0. Sort w, 0, -5.\nAnswer: -5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71545 is divided by 138.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*q**6 + 39*q**2 + 2*q**6 - 16*q**2 wrt q?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**2 - x - 1. Let o be t(-1). Let d = o - 5. Solve d + 1 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**34\/h)\/h)\/(h\/(h\/(h*h*h\/h**(3\/34)*h*h)*h)) assuming h is positive.\nAnswer: h**(989\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/3 - 374*a**2\/3 - 17296*a\/3 + 17672\/3.\nAnswer: -2*(a - 1)*(a + 94)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {y: 2, m: 18}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 234?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6523\/1350 + -1\/675. Let o = 8231\/20 - 414. Find the common denominator of a and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 greater than 81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y - 75954 = -y + 122064. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -1) + 27 + -75*12\/36.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 k when four letters picked without replacement from vcevckcvkcevevv.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2668*f + 232. Let v(r) = -116*r - 10. Give 116*v(b) + 5*y(b).\nAnswer: -116*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 333435, 666693, 999951?\n\"Answer: 333258*x + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 v when three letters picked without replacement from {e: 2, v: 3, z: 6, t: 3, x: 4}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 56\/16)\/15*1045\/(-114)*8.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**2\/2 - 236. Let k(d) = 2141*d**2. Give a(k(h)).\nAnswer: -2141*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 3:48 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 4*d + 2*d)*(0 + 0 + 2*d) + d**2 + 2*d**2 + 8*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -64478, -64385, -64138, -63659, -62870, -61693?\n\"Answer: 13*u**3 - u**2 + 5*u - 64495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k*u**2 + 52*k*u - 2122*k - 643984*u**2 - u - 5 wrt u.\nAnswer: 6*k - 1287968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i + 73*i - 25*i - 25*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92397 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.14 or -52\/7?\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-2 - -4)) + (6 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41*j**4 + 2*j + 267?\nAnswer: -164*j**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*w + 12. Let r(d) be the second derivative of 5*d - 3\/2*d**2 + 0 + 1\/3*d**3. Determine r(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1327, -1320, -1315, -1312, -1311, -1312, -1315?\n\"Answer: -d**2 + 10*d - 1336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x + 39. Let y be r(-5). Let l(a) = 4*a - 30. Let q be l(y). Solve -9 = 5*d + q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*u + 6 = 52*u. What is the closest to u in 0.5, -2, 1\/3, 1\/10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 11.349\nAnswer: 0.79443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -61738245 > -61738253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - 66\/(-2 - 4). Let u = 106 - r. Let x(q) = -65*q**3 + 1. Let j be x(-1). Calculate the highest common divisor of j and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a factor of 191389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*y - 24, -5*y = -4*y - 5*s - 12. Determine t, given that t - 4*t + y*t**3 + 4*t**2 + 0*t - 4*t**4 - 5*t - 4*t**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -13. Let b(l) = -l**3 + 2*l + 0 - s*l**2 + 4*l - 5. Let c = 49 + -55. Determine b(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21 - 11*m**2 + 46*m**2 + 27*m**2 - 42 wrt m.\nAnswer: 124*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34998 and 5110629?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -688*j**2*z - j*z + 19*z - 1 wrt j.\nAnswer: -1376*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382723 = 291*x + 387088 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7684236 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-12)*(-3 + 69) - 11. Solve -83*s + 36 = -j*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + z**4 + (0*z - z + 0*z)*(3 - z**3 - 3) + 3*z**4 + 0*z**4 - z**4 + 8*z - 5*z**4 - 5*z - z.\nAnswer: -z**4 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/680*10\/4.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -12. Suppose 0 = 2*s - 5*h - 82, 0 = 2*s + h + 4*h - 62. Let q be s\/8 + (-3)\/(-6). Solve -j + 4*x = -11, 5*j + q*x + 43 + 2 = f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 5:48 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -7338 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 166.562 years?\nAnswer: 1.66562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 482.2 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6421221 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1716)\/(-18) + 4\/6. Suppose -36 = 5*o - l. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.2622 + -44.8698. Let z = -29.6 - d. Round z to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmttttmtm. What is prob of sequence tttr?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*x**3 - 2*x + 2*x - 47*x**3.\nAnswer: 21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*y + 11 = 0, -4*v = v - 3*y - 1. Suppose 0*z + z = a + 41, 4*z = -v*a + 140. List the prime factors of z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 10 = 0, 5*r + 3*y + 35 = -2*y. Is (-1)\/(-2) - 691\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/258*18\/4. Let i = l - 1\/43. Let w = 0.032 - 1.032. Which is greater: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.1, -0.1, -13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 6*f**2 - 4*f + 6. Let g be w(-5). Suppose k - g = 2. Suppose n - 7 = k. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.05 (c) -599 (d) 84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(3\/7))\/((c*c\/(c*c\/(c**(3\/7)*c*c)*c*c))\/c)*(c**(-2\/9)*c)**(-12))\/(c**6\/(c*c\/c**(2\/17))*c**(-6)*c*c*c*c**(-6)*c) assuming c is positive.\nAnswer: c**(-1538\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -442.8 times 0.5\nAnswer: -221.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -213, -420, -629, -840, -1053?\n\"Answer: -g**2 - 204*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 8. Suppose r + 7 = -3*b, b + 7 = r - 3*b. Let t be (-6)\/(0 - -1 - 1 - r). Give p(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00066273 rounded to five decimal places?\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/4 + 3*i - 9 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpe when three letters picked without replacement from {p: 7, s: 1, h: 1, o: 2, e: 1, d: 5}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 2*z**2 - 2*z - 2. Give k(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/(sqrt(3)*2) - (sqrt(7) - (sqrt(28) + 0) - sqrt(7))) + sqrt(56)\/(-1*sqrt(8)) + 1 + sqrt(7) + -5 + sqrt(7) + sqrt(7))**2.\nAnswer: -36*sqrt(7) + 631\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -414*g*h**2*z - g*h**2 + g + 2*h**2 - 4*h*z + 101*z wrt g?\nAnswer: -414*h**2*z - h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -297 + 0*c + c**3 + 3*c + 298 - 10*c**2 + 11*c in the form x + i*c + n*c**3 + s*c**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -155.6 + -11?\nAnswer: -166.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-9\/2)*u*u)**(-14) assuming u is positive.\nAnswer: u**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.433048 millennia?\nAnswer: 7433.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/30 - (57\/56)\/((-1965)\/524)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 227, 343, 459, 575?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 24*l - 16 = 0. Let w be (3 - l - (-119)\/(-85))*10. What is the third smallest value in -2\/5, w, -2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 489. Let k(l) = 4*l + 971. Determine -4*k(m) - 9*t(m).\nAnswer: 2*m + 517","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31067 - 31063. Solve r = 2*y - 7*t + 9*t, -3*t + 22 = -5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 5*b**2 - 21*b + 18. Calculate q(9).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35531 - 6612 = -17*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 30.2, -18, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -2*(0 + 1 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -368, -3116, -10578, -25112, -49076, -84828, -134726?\n\"Answer: -393*z**3 + z**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 10) in base 8?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 14. Suppose 0 = x - 5*s - w, -5*x + 2 = -4*s - 129. Let a(g) = g**3 + 14. What is the remainder when x is divided by a(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28855979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -309*m**4 - 175932537*m**3 - 33389703844731*m**2 - 2112309710068125243*m + 82031495407996836 = 0.\nAnswer: -189787, 4\/103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 14. Suppose 0 = 3*i - c - 3*c - 2206, 0 = -3*c + a. Let h = -3722\/5 + i. Is -1 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.665 + -0.025. Let f = -1.6 - t. Let x be 4 - (2\/8)\/((-11)\/(-88)). Which is smaller: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+23488\nAnswer: 23493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -4.06. Let o = -101 + 103.06. Let t = h + o. What is the second smallest value in t, -0.02, -3\/7?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 16.69, -1\/3, 0.1, 1206 in ascending order.\nAnswer: -1\/3, 0.1, 5, 16.69, 1206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, t: 4, u: 13}. Give prob of sequence tz.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.6822556kg?\nAnswer: 682255600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -13, 4\/5, 5, -1\/4, -26 in decreasing order.\nAnswer: 5, 3\/2, 4\/5, -1\/4, -13, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.15 + 0.3. Let j = 37.8 + -37.8. Are j and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -18. Suppose 5*j - g = 137. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6532 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2*a + 14, 48*a - 4*t = 53*a + 26 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -233 > -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98725, 3\/5, 12 in decreasing order.\nAnswer: 98725, 12, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5595657 to the nearest integer?\nAnswer: 2366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 6 + 2*d + d. Let r(v) be the second derivative of -v**3\/2 + 19*v**2\/2 - 2005*v. Give -2*r(p) - 7*s(p).\nAnswer: -p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 6:47 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2566*m - 5407*m - 42615 = 0 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.165 - -0.2. Let q = u - 7.535. Let z = q + 5.98. Round z to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of -7 - ((-1791)\/(-12))\/((-3)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**2 - 113154464*m + 800245795195456 = 0. What is m?\nAnswer: 14144308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s. Let g = -43 + 45. Suppose 9*u = 4*u - 5*k + 10, -5*u + 5*k + 10 = 0. Let b(c) = -g + 2 + c - u*c. Give v(b(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 3*y + 7, 0 = 3*y - 8 - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-29)\/(4060\/80) + 1\/1. Which is the closest to 2? (a) 2\/5 (b) -12 (c) h (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 1. Let v(k) = -7. Determine -7*d(c) - v(c).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3153 divided by 9910\nAnswer: -3153\/9910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*w = 519*w - 14309 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 15*v - 50*v = 0. Let t(y) = y**2 - 8*y + 4. Calculate t(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 4192?\nAnswer: 4192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -1 + -10*6\/(-15). Suppose 11 = h*u - 3. Suppose -j + 0*j - u*n = -30, n = -2*j + 48. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 15*u**2. Let z(o) = 19362*o**2 + 5*o + 58. What is z(c(w))?\nAnswer: 4356450*w**4 + 75*w**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 274*m**2 + 4942*m - 77. Calculate t(-18).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*8\/80*(-30)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 58050211.\nAnswer: 2\/58050211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*k + 223, 0 = -3*b + 7*b - 4. Let c = 453 - 442. Calculate the remainder when k is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714203 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -532, -0.1, 66, 102 in descending order.\nAnswer: 102, 66, -0.1, -532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 232, -5, 2, 0.3 in descending order.\nAnswer: 232, 15, 2, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 587, 606, 625, 644, 663?\n\"Answer: 19*p + 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 7*y**2 - y. Let s be (9\/(-6) + 1)*-12. Suppose -3*i + 74 = 5*d - i, 4*i = 4*d - 76. What is the remainder when g(s) is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 3*r + 2*q - 6 = 0, -2*r = 2*q + 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6740495 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147 divided by -3.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 359658 and 88722.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 5*t = 3*a - 20, 3*t = 12. Let w(s) = -2*s**3 + 36*s**2 + 229*s + 26. Let v be w(23). Solve 0 = -a*b + v*b, -2*f + 2 = -3*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*w + 27*w + 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*109\/(-654)*12\/18*(-36)\/172?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 w when four letters picked without replacement from wkkkdwdkddddkdwdkdk?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/5072 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a day in minutes?\nAnswer: 1584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -199*h**4 - 183*h**2 + 2*h + 2. Let k(o) = o**2 - o - 1. Let y(u) = -2*k(u) - t(u). What is the third derivative of y(g) wrt g?\nAnswer: 4776*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -554384 divided by 138596?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*o + 23, 4*v - v - 5*o = 29. Calculate the remainder when v is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11297, 20531, 25633, 24539, 15185, -4493, -36559?\nAnswer: -83077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p - 7. Let v(d) = 2*d - 4. Let i(c) = -4*s(c) + 7*v(c). Let f(j) be the first derivative of -14*j**2 + 37. Give i(f(q)).\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/2, 1.13, 4, -0.12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4380 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010001101000000100 - 11?\nAnswer: -100010001101000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5106 and 595534906?\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-2 + 3435\/12). Suppose -1556 = -8*p + 2796. Let a = p + i. What is the common denominator of -97\/22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 + q**2 - 1. Let c be y(-1). Suppose -a - 4*a + 14 = -w, 2*a = 8. Let f = w - c. Solve 2*t = -v - 8, 4*t - f*v + 30 = v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -344 - -348. What is the lowest common multiple of 1 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e40 (base 15) to base 3.\nAnswer: -11101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2553 = 2555 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-10) - 54\/10. Let g(y) = -3*y**3 + y**2 - y + 1. Let x(b) = -16*b**3 - 1. Let f(k) = -5*g(k) + x(k). Give f(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340\/(-50) - (-1305)\/(-25)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195047 (base 11) to base 2.\nAnswer: 1001001001000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8564893847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a + 66. Let j be d(16). Find the third derivative of -170*y**4 + 5*y**j - 793*y + 398*y + 2*y**4 + 395*y wrt y.\nAnswer: -4032*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-459492)\/(-8260) - 54)\/((-5)\/(70\/12))\nAnswer: -19\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.562 - -13.788. Let g = 0.35 - w. Let p = g - -13.95. Is -1 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137537.87*3.\nAnswer: 412613.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.072?\nAnswer: 0.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - g = -2*g + 1, n + 7 = 3*g. Suppose -l = 3*l + 5*m - 30, 4*m = -n*l + 12. What is the least common multiple of l and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 962585 divided by 1\nAnswer: 962585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4881 + 4913. Suppose -4*c - 128 = -2*v, -v - c + 63 = -1. What is the greatest common divisor of w and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 12*i + 12060. What is the tens digit of (5\/(45\/(-6)))\/(4\/i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-six fifths of a centimeter?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 8:44 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 123415633\nAnswer: 123415632.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 163838 less than 491515\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 936*d - 4019*d**2 + 1344*d**2 + 1337*d**2 + 1337*d**2.\nAnswer: -d**2 - 936*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-84)\/(-2940) + (-423)\/105. Suppose 23 = -3*t - 4*r, -3*t + 0*r - 7 = -4*r. Does t = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*k + k - 41, -2*k - 3*l - 25 = 0. Suppose -80*p = -41*p - 39. Let v be (k\/(-5))\/(p\/5). Calculate the greatest common divisor of 88 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -616 = -343160\/557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 5, b: 1, f: 2}. Give prob of picking 1 f and 1 k.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4675 is divided by 2233?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/17 - 6*n**2\/17 - 4*n\/17.\nAnswer: -2*n*(n + 1)*(n + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3944, -7888, -11832?\n\"Answer: -3944*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(175) + -2*sqrt(175)) - (sqrt(7) + -1 + -3 + -1 + sqrt(7) + 0).\nAnswer: 5 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444 - 1139 - 274 = -4*z + 33*o - 157, -3*z = o + 64 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 8) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**3 + 4*z**3 - 5*z**3)*(4*z + 15 + 5*z - 10*z) as n + q*z**2 + f*z**4 + x*z**3 + k*z and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -2. Solve -v - 9*f**2 + 3*f**3 - 3*f + 12*f + 5 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**6\/120 + v**5\/60 + v**4\/24 - v**3\/3 + 363*v**2. Give s(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-1)*10\/(-4). What is the tens digit of w + 23 - (-1 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -637 = -4*w + 343. Let j = w + -1712\/7. Let t = -21 + 145\/7. What is the nearest to -0.33 in t, -5, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273851 is divided by 122?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*a = 71*a - 2422 + 937 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from {q: 2, t: 11, d: 3, p: 3}?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116543 (base 15) to base 11.\nAnswer: 518743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**3 - 4*j**2 + 4*j + 2. Suppose 0 = k + 2*y - y, 2*k + 8 = -4*y. Let d(a) = a**3 + a**2 - a - 1. Give k*d(n) + p(n).\nAnswer: -2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 940 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19084 - 19082. Solve 11 = -2*o - 3*n + 16, 5*o - h = -4*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 29\/6 (b) 1\/4 (c) -7\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157798, -631257, -1420324, -2524975, -3945186, -5680933, -7732192, -10098939?\nAnswer: -12781150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85682357 to the nearest integer?\nAnswer: 9256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a century?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b. Let j(m) = 11*m**2 + 5*m. What is u(j(s))?\nAnswer: 55*s**2 + 25*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*g**2\/5 + g\/5.\nAnswer: g*(38*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 8 = 4*l, 16*y - 22 = 11*y - 2*l. Let d(v) be the first derivative of v**4\/2 - 7*v**3\/3 + 3*v**2\/2 + 5*v + 1. List the prime factors of d(y).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861814.\nAnswer: 2, 430907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 4089.\nAnswer: 40890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3366 and 47549.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24 and 0.031491?\nAnswer: -0.755784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.889101 - -8.489114. Let a = -2.6 + b. What is a rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 13*s + 4. Let v be l(6). Suppose z + 19 = y + v, z = 5. Let o be (-112)\/42*(-3)\/y. Is 0 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -313 (base 8) in base 14?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1746 = -205*k - 782 - 8549 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*d**4 + 64*d**2 - 76601*d wrt d.\nAnswer: 312*d**2 + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 17*b**2 - 2*b + 9. Let r(u) = u**3 + u**2 - 1. Let z(j) = -h(j) - 2*r(j). What is the units digit of z(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 20\/11 + 2*r + 2\/11*r**2 = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -2.2. Let z = -1.8 + s. Which is the biggest value? (a) 5 (b) z (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -q - 15. Suppose 94 - 24 = -q*d. Suppose 3*s - s + 26 = 0. Which is smaller: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2904595 and 5?\nAnswer: 2904595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 8 - 8*y + 2*y + 2*y. Let x be q(-5). Let f be (-2)\/(-4) - (-22)\/4. Calculate the greatest common divisor of f and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -909 divided by -205\nAnswer: 909\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 282. Let v(a) = a**2. Give v(g(y)).\nAnswer: y**2 + 564*y + 79524","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 232 - 221. Solve -7 = -w - l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23929330 is divided by 1899.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114390 and 362.\nAnswer: 20704590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 5. Let s be o(5). Differentiate 355*t**3 - 355*t**3 - 8*t**4 + s wrt t.\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 766 + -1096. Calculate the common denominator of 41\/(3\/(3\/8)) and 1315\/v - 2\/11.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 49*k**2 + 571*k - 33. What is o(19)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 289741957?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1583.0000065 + 1583. Round v to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*v**4 + 1709332*v**3 - 172779750 wrt v.\nAnswer: -88*v**3 + 5127996*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*m = -3 + 2, 0 = -4*b + 2*m + 24. Factor -8*f**5 + 165*f - 9*f**2 + 72 - 160*f**3 - 43 - 109 + 90*f**4 + 3*f**b - f**2.\nAnswer: -5*(f - 16)*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3486*a**2 - 67*a + 888. Is i(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((1 + sqrt(637) + -5 + (sqrt(637) - (-1 + sqrt(637) + -3)))**2 + ((-1 + sqrt(637) - sqrt(637))*4 + 3)**2)*2 + -1)*-1.\nAnswer: -1275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*a - 3. Differentiate 2 + a*i + 2*i - 5*i with respect to i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8*m - 9. Let f be l(1). Which is the nearest to -0.1? (a) 0.5 (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3043682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 832 and 846656?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 593 * -0.01.\nAnswer: -5.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9583642.\nAnswer: 2, 613, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -787560 and -5.\nAnswer: 3937800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 60*v - 39. Let q(z) = -12*z + 8. Calculate 5*a(u) + 24*q(u).\nAnswer: 12*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 0) + (-2301 - -2294)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35816 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i + 4*i - 7*i. Let a(u) be the third derivative of -u**4\/24 - 10*u**2. Calculate t(a(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 4:44 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 18 - 40) + 9 + 11 - -78.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -42, -53 in increasing order.\nAnswer: -53, -42, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46999 - 14852. List the prime factors of c.\nAnswer: 17, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 959 - -1550?\nAnswer: 21a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 4\/5 (c) 5 (d) 6492\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -16*y**2. Let o(g) = 7*g + 92. Let d(f) = 15*f + 200. Let m(k) = -6*d(k) + 13*o(k). Calculate i(m(z)).\nAnswer: -16*z**2 + 128*z - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*j + 202, 391 - 726 = -5*j + 5*o. Let b = -3 - -9. Calculate the remainder when j is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*g + g. Suppose 2*z + 0 = 12. What is the remainder when g is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 - 53. Let h = l - -79. Suppose -5*v + h = 3*i - 72, v + 3*i - 48 = 0. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (94\/5)\/2 + 510\/(-1275). Solve -m*t - 1 + 37 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288\/138 + (-18)\/207.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.43\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 88 and 4.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2, 5*b + 2*j + 4 = -0*j. Suppose b*s - 14 = -s - 2*p, 116 = 4*s - 4*p. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*r + 12635, 3*r - 5*r - 2*j = -5072. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/336)\/((-3)\/16)*(-3)\/28?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 1502162?\nAnswer: -1502165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 3506165*y**2 + 1234634720*y - 108661484800.\nAnswer: -5*(y - 176)**2*(y + 701585)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11067022 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(32\/3)*1351104\/(-2724).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*x**3 + 158*x**3 - 322*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4)**(-6) assuming u is positive.\nAnswer: u**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - 78. Let w = 35 + n. What is the second derivative of 5*h**4 + 3*h - 21*h**w - 4*h + 14*h wrt h?\nAnswer: -192*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibi when three letters picked without replacement from {b: 2, n: 1, e: 1, x: 2, i: 2, r: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27333 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 625 + -439. Suppose -3*w + 497 + 47 = -4*d, -w = d - r. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 - 59*f**2 - 237*f + 227. Give c(33).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -89563216 divided by 180571?\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + x - 2*x)*(467 - 465 + 3328*x + 1580*x) to the form j*x + g*x**2 + p and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15372*w - 603 = -15381*w for w.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 600 and 175.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 - -0.45.\nAnswer: -12.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 137 = 2*h + h, 0 = -5*h - 4*w + 240. Calculate the remainder when 306 is divided by h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/2618 and 53\/7956.\nAnswer: 612612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.362483 years?\nAnswer: 0.02362483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 65*o - 942. Let l be f(-43). Sort 1, -300, l in descending order.\nAnswer: l, 1, -300","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -918.2 + 918. Which is the nearest to 23? (a) 3\/8 (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*c - 0*c. Suppose 3*i - c*i = 1. Let b be 8\/((-6)\/3) - i. Let k(p) = -3*p. Give k(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-3)\/(-10)) - (1 + 0). Is 200\/(u\/(11\/(-2))) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o + 15. Suppose 3*w = o + 9. What is the second derivative of 4*p + 4*p**3 + 2*p - w*p - 3*p wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2 + 0*h - h - 3. Let t(j) be the third derivative of j**4\/2 + 4*j**3\/3 + 10*j**2. Give 10*f(n) + t(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -937*v**4 - 451*v**3 - 226285079*v**2 wrt v.\nAnswer: -22488*v - 2706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + y**2 + y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2962 divided by -3?\nAnswer: -2962\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 75. Let k = a + -16. Differentiate 6 - 3 + k*y - 7 wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16905 (base 11) to base 4.\nAnswer: 11302221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 278867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -10*n - 644. Let m(v) = 62*v**2. Determine p(m(f)).\nAnswer: -620*f**2 - 644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (16 - ((17 - (22 + -15)) + 26))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21555603 + -3?\nAnswer: 21555600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6402 = 26*d + 5908. Let u(w) = w**2 - 9*w - 193. Give u(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 + -14)*3\/(-6). Calculate the greatest common divisor of f and 537.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5332671989?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r**4 + 850311*r**3 - 1190382*r**2 - 1360476*r + 680232 = 0.\nAnswer: -1, 2\/5, 2, 56686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**2 + 2*k + 2. Determine o(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20658 or -20656?\nAnswer: -20656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1746 greater than -13\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 0*q**2 - 1 + 3*q**2)*(-3 + 3 - q)*(11*q**2 - 5 + 5).\nAnswer: -11*q**5 + 11*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m + 2. Let j be a(-2). Let u = -16 + j. Suppose 0 = r + u*r + 9. Which is greater: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -73, 0, 2\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4 = -4*l, -5*a - 23 = -55*l + 52*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 855834 divided by 6958.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**5 - 77*m**4\/6 + 92*m**3\/3 - 4*m**2 - 64*m\/3 + 349. Let a(q) = 0. What is q?\nAnswer: -2\/5, 2\/3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 504536488?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 447*b**3 - 141*b**2 - 147*b**2 + 288*b**2 + (0*b + 3*b - 2*b)*(5*b**2 - 12*b**2 - b**2).\nAnswer: 439*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*g - 32, g + 3*g = 4*d. Suppose l = -0*l - 4*i - 11, g*l = -4*i + 4. Solve 0 = 3*r - 7*r + u - 17, 0 = 3*r - l*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(15)\/sqrt(5) - sqrt(3) - (sqrt(12)\/sqrt(4)*-3 - sqrt(3)))**2 - (-5 + 1*sqrt(75) - (sqrt(75) + sqrt(75)*-1)*2)**2.\nAnswer: 50*sqrt(3) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 252698 + -156663. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*a + 9, 5*f + 5*a = -14 + 119. What is the highest common factor of f and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-660)\/36)\/11)\/(((-120)\/1035)\/(-8)).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -25. Let x be (-63)\/(3\/(b - 7)). Suppose 6*g - 3*g - x = 0. Calculate the greatest common factor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 22*i**2 + 46*i - 61. Determine v(24).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**4\/12 - 2*i**3\/3 - 5*i**2\/2 + 2*i - 23. Let x be d(5). Solve x = 11*y - 6*y - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-916) + 676687\/682649?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g + 2. Let d be a(-3). Let z(x) = 2*x + 2. Let s(n) be the second derivative of 4*n + 2\/3*n**3 + 2*n**2 + 0. Determine d*s(t) + 9*z(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 + 24 = 2*h. Let t = h + -33. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y + 0*y + 5*y)*(-8 + 7 + 8).\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 12\/10 - 2086\/(-745). Let v(j) = 6*j**2 - 2*j. Calculate v(f).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 + -71. Which is the second smallest value? (a) 23 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-11 - -42 - 81)) + 16.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 856 by 16.\nAnswer: 107\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20\/3, 18, 0.2 in ascending order.\nAnswer: -20\/3, 0.2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*r + 176*r = -4*b + 16, -2*b = 5*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.7485 millilitres to litres.\nAnswer: 0.0917485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*i**3 - 65 + 66 - 38*i**3 + (0*i + 3*i - i)*(i**2 + i**2 - 3*i**2) - i + i - 2*i**3 to r + j*i + y*i**3 + v*i**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -18 + 2. What is the lowest common multiple of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 3\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30140\/(-47950)*16\/(-8)*(-7)\/(-2)\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 - 4921*o + 4953*o + 2 - o**2)*(-243*o - 3737 + 3737) as q*o**3 + v*o + p*o**2 + w and give p.\nAnswer: -7776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 - 60 = -3*b - 17*u, -u - 6 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q**2 - 35*q - 3*q**2 + 33*q)*(-15 + 15 - 5*q**2) in the form u*q + f*q**2 + d*q**3 + c*q**4 + z and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -88\/27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 63*g + 96. Let b be v(19). Sort -5, b, -1.\nAnswer: b, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/1*6\/42?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -25. Let g(q) = -q**2 - 17*q - 15. What is the remainder when 57 is divided by g(m)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -41. Let n = s - -4. Let b(q) = q**2 - 3*q - 6. Let o be b(5). Calculate the highest common factor of o and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f - 3. Let q be a(3). Let z be (-1 - q\/(-4))*-142. Let i = 108 + z. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.5 - 5. Let r = -32 - -29. 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: Let q be ((-1)\/(-3))\/(5\/(-15)). Let k(d) = d**2 - 3*d - 1. Let h be k(q). Solve -h*r = -3 + 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q. Let p(b) be the second derivative of -33*b**5\/20 + 169*b**3\/6 + b + 68. Let j(l) be the second derivative of p(l). What is j(w(d))?\nAnswer: -396*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 18*d**2 + 59*d + 23. Let r(s) = 40*s**2 + 99*s + 46. Give -5*h(y) + 3*r(y).\nAnswer: 30*y**2 + 2*y + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 10:48 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**3 + 2*f**2 - 1. Let b be (-1 - -2)\/(2\/6). Suppose -b*z - x - 11 = 0, 0 = 4*z - 3*x + 5*x + 18. Let y = z + 1. Determine k(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 10. Let q be l(8). Let w be (80\/24)\/(q\/3). Let k(s) = s**2 + 5*s + 7. Determine k(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 2*o**3\/3 - 25*o**2 - 12*o + 8. Give p(17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1163\/7 - -168. Find the common denominator of c and -67\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b**2 + 9. Let g(v) = -14*v**2 - 18. Let j(c) = -4*g(c) - 9*o(c). Differentiate j(m) wrt m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -26. Let t = -22 - -89\/4. Which is greater: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from vjhujusv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 24*d = 58 - 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 0.1, -4\/5, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 3*x - 73 - 4 + 2*x as o + i*x and give o.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2. Let r(f) = 14*f**2. Give a(r(l)).\nAnswer: -392*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 8:31 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**3 + 10*s - 11. Let x(c) = 3*c**3 + 6*c - 6. Determine -5*x(y) + 3*z(y).\nAnswer: 3*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/65245 and -42\/5.\nAnswer: 65245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1498739 and 5719.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12781 + -12786. Which is the closest to -9\/5? (a) f (b) 2\/7 (c) 3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13\/8, -10, -13\/4, -4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (30 + -60 - 12)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Find the third derivative of -4*s**4 + 4*s**2 + 0*s**a - 6*s**2 + s**4 wrt s.\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29 + 12 + 1284*r + 36*r**3 - 1283*r wrt r?\nAnswer: 108*r**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 h, and 1 t when four letters picked without replacement from {k: 4, h: 2, p: 3, t: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*h - 5*h - 11, -3*h = v - 15. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -5. Let l = 5 - 5. Let r = l - 0. What is the nearest to r in 5, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**(-2\/5)\/q)\/q)\/(q*q**(1\/10)\/q*q))\/(q\/(q**(-2)\/q*q)*q)**42 assuming q is positive.\nAnswer: q**(-341\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 29*d**2 + d + 31. Let l be r(-29). Which is the closest to 0.1? (a) l (b) -27 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.35 times 18?\nAnswer: 528.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.5 (c) -0.02 (d) 0.4 (e) -1\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98693\/8292 - -10\/691. Let t = -2331\/4 + 560. Calculate the common denominator of t and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 24973*d + 449. Let y(m) = 6243*m + 100. Let j(s) = 2*l(s) - 9*y(s). Let z(g) = -g**2. Determine j(z(c)).\nAnswer: 6241*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 - 16)*6\/(-8). Suppose 4*q + w + 281 = 5, i*q + 207 = 3*w. Let k = -43 - q. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let q = -0.03 + 0.03. Let x = 0.2 - q. Which is the closest to 0.1? (a) x (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 10. Give z(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3507153.63 to the nearest ten thousand.\nAnswer: 3510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1089201 to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1073.519691 from 295.\nAnswer: 1368.519691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 - (8 - (5 - 5 - (-16 - -14 - 14)))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -56, -6, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 125851.33873 and -0.14?\nAnswer: 125851.47873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 13) + 1 - (-30)\/135*180.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60241991365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(2170\/(-93))*(-12)\/10?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/9)\/(i*i\/i**(11\/5)))**(-44) assuming i is positive.\nAnswer: i**(-176\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, -300, -1868, -4914, -9930?\nAnswer: -17408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/9, -0.2, -15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 2 - 621*a + 11.\nAnswer: -621*a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 500289 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140895?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -340848 in -0.1, -5\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 7*g**2 + 9*g + 10. Let v be h(-8). Solve -v*r = 2*i - 2, -5*i - r + 8 + 1 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 1028689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110\/249, 163, 4 in increasing order.\nAnswer: -110\/249, 4, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 12597?\nAnswer: -1\/12597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670188 is divided by 223395.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y - 30. Let p = -59 - -57. Sort -3, 0, y, p in increasing order.\nAnswer: y, -3, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 21 = -5*j, 0*j - 4*j = -2*k - 18. Suppose 1 + j = 5*g. Is (-2)\/((-2)\/g) - -24 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*w = 97 + 131 + 195. Let v(z) = z + 3. Let l(p) = 2*p + 6. Determine w*l(c) - 7*v(c).\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y - 4. Let b(q) = -7*q + 35*q - 16*q - 1 - 13*q. Calculate -2*b(l) + i(l).\nAnswer: -5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**4 - 41416*z**3 - 663372*z**2 - 3193568*z - 4065040 = 0.\nAnswer: -7, -2, 10370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11*(12390\/(-154))\/(-59)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 = -s + 2, 3*s + 3 = -2*h. Solve h*d - d - 4 = 0, 4*d = 5*c - 36 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*f = -0*f + 23*f + 30 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48119, -96203, -144287?\nAnswer: -192371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + 5*r - 3*r + ((3 - 1 - 1)*(1 + 2 - 2) + 5 - 2 + 2)*(0*r - 5*r + 3*r).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 y, and 1 s when four letters picked without replacement from {s: 1, y: 3, m: 1, d: 6, q: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5 + 336*f**4 - 2040*f**3 + 4094*f**2 - 3417*f + 1026 = 0. What is f?\nAnswer: -342, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 384 - 400. Suppose k*z = 5*j - 524, -97*z - 308 = -3*j - 101*z. What is the greatest common factor of 520 and j?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33450\/137 greater than or equal to 245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {x: 2, g: 3, y: 3, e: 1, t: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = -26 + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3044\/13 - -234. Which is the third biggest value? (a) q (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-11)*(-12096)\/(-13608)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*6\/(-342)*-3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -510497 - 290109?\nAnswer: -800606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20.44 and 0.3?\nAnswer: 6.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18613 = -2*o + 5*n, 27862 = 40*o - 37*o + 4*n. Is 72 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -2*f**5\/35 - 5*f**4\/14 - 4*f**3\/21 + 20*f**2\/7 + 48*f\/7 + 288. Solve z(p) = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(11)*-3 + 5 + 5)**2 + (sqrt(180)*-1 - sqrt(15)\/sqrt(12))**2*5.\nAnswer: -60*sqrt(5) + 4805\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19453 = -87*g + 17626 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79671, 79646, 79609, 79560, 79499, 79426, 79341?\nAnswer: 79244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from vmfmfmh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3164 and -52\/8701.\nAnswer: 34804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 - 36. Suppose 8 = -2*i + 2*f + 4, 0 = 5*f + r. Let z = i - -17. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001321 (base 4) to base 6.\nAnswer: 204225","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 240210 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*5\/(15\/36). Suppose -2 + 1 = -n - 2*a, -4*n - 4*a + d = 0. Suppose 3*g - 47 = n*b, 3*g - 22 = 2*b + 13. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c**2 + 2*c**2 - 61*c**2 + 130*c - 9*c**2 wrt c?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 18 + 23 + 11 + -18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -13 - (2 - -3)\/(-5). Let u be 3 - 4\/n*-21. Let c(i) = -i**3 - 3*i**2 - 2*i - 3. List the prime factors of c(u).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 2*x + 7*c + 24, 35 = -5*x - 5*c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -316\/9 + 36. Determine a, given that 0 + 0*a - v*a**2 - 14\/9*a**5 - 46\/9*a**4 - 40\/9*a**3 = 0.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/(-5) + 3 - (-21)\/5. Put q, 2, 18 in descending order.\nAnswer: 18, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.314988 kilometers to micrometers.\nAnswer: 3314988000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 45\/(-210)*(-14)\/12. Put m, -3, 0.3 in decreasing order.\nAnswer: 0.3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 639*x + 1643 + 7942 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.091 + -0.479. What is y rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15 and 3843925204.66.\nAnswer: 3843925189.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461b (base 13) in base 4?\nAnswer: 21113303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018747859 to five dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1077004112?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*b = -13 + 23, 3*b - 3 = 0. Solve -3*g = -4*q - 16, 0 = -2*q - 2*q - c*g + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15698, 25236, 34774, 44312, 53850, 63388?\nAnswer: 72926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -528.9999902 - -529. Round i to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139319 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2.2. Let f = -0.277 - -3.337. Let w = u - f. What is w rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 7) in base 2?\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7210.999998627 - -7211. What is u rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpppppxx. Give prob of sequence ppx.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -61, -110, -167, -226?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 33.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - -27322.741.\nAnswer: 27323.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**4 - 1264752*i**3 + 2*i + 4414394?\nAnswer: -8*i**3 - 3794256*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**21\/((h*h**(-23))\/h) assuming h is positive.\nAnswer: h**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-25)*(-2)\/(-14).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + t + 5)*(1 + 6 - 24).\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + w**2 - w. Let p be c(0). Let k = -0.1 - -0.2. What is the nearest to k in -0.2, p, 2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**2\/2 + 5*s - 17. Let p be u(4). Which is smaller: 1\/25 or p?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*v - 4*v**2 + 18*v**2 + 10*v + 2*v**2 + 16*v as z + h*v + x*v**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -5, -2 in ascending order.\nAnswer: -5, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13974387223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/9 + (-240180)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 4*a + 3. Let w = 12 + -10. Calculate y(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-234)\/((-234)\/(-13))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6.1 * 3637\nAnswer: -22185.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.362 - -0.062. Let c = 3 - 3.1. What is the nearest to 2\/9 in -3, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 4*y - 3. Let q be -6*2\/(-8)*2. Let g be d(q). Factor 0 - 1\/2*i**2 + 1\/2*i**4 + 0*i + g*i**3.\nAnswer: i**2*(i - 1)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15927*g**3 + 10 - 116 - 16089*g**3 wrt g.\nAnswer: -486*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 12:07 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -21. Suppose -4*x - r = -o, -3*o + 5*x = -6*o + 82. Is 22 a factor of 4\/(o\/(-9))*(-168 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 14 = 3*s, 3*k - 3*s - 21 = -0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 0. Let g = u + 4. Let s = g + 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120 + 676.\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(-5))\/((3\/3)\/((-3)\/(-6))).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (970\/32980)\/(((-2)\/12)\/(-1)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) + 7\/(-2). Let l = 1 - h. Solve -c = -l*s + 9, 3*c + 12 = -s - 2*s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11*t**2. Let m(x) be the third derivative of 0 + 0*x + 124*x**2 + 1\/10*x**5 + 0*x**3 + 0*x**4. What is m(w(z))?\nAnswer: 726*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 183 in 0, 1\/23, -19?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**3 - 1. Let x be w(-1). Suppose -s + x*s - 159 = 0. What is the remainder when s is divided by ((-18)\/8)\/(1\/(-8))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6344 divided by 488\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*z**2 + 43*z**2 - 66*z**2 in the form c + x*z + d*z**2 and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 141\/4 - (-1)\/(-4). Let v = 1849 - 1844. What is the highest common factor of v and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231456103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 80, 21*o + 4*z - 3*z + 0*z = o - 4*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcccmccmmccmmf. What is prob of picking 2 m?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1107?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 38?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 3 = d. Suppose d*c - 5*u = -u + 55, u = 4*c - 44. Suppose 4*n - 26 = 58. Calculate the remainder when n is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 32*s - 135. Let z = 116 - 85. Calculate the remainder when t(-22) is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44308 times 0.2?\nAnswer: -0.088616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 24*r - 103. Calculate h(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4093411 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*j**2 + 4*j**3 + 6*j**2)*(-2 + j + 2) + (-3*j**3 + 3*j**3 - j**3)*(0*j - 2*j + 5*j) in the form l*j + d + x*j**2 + a*j**4 + h*j**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 78 = v, 5*f = -5*v + 10 - 100. Let p be 1*(-3 - 172\/f)*-4. Let o = 31 - 62. Do p and o have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 6 + 29 = -4*y, 4*z - 16 = 2*y. Let d = -3 + y. Let i = d + 49. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.4347 * 1\nAnswer: -10.4347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 14 + 5. Let j = -167 + 297. Let u = j + p. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 12*v**2 - 32*v + 9. Let p be c(5). Let d(u) = u**2 - 24*u + 102. Does 6 divide d(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence susu when four letters picked without replacement from usuuussusu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**4 + 4*p**2 + 1. Let a(d) = 1609*d**4 - 12*d**2 - 72. Let v(w) = a(w) + 3*x(w). Differentiate v(u) wrt u.\nAnswer: 6472*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -44\/5, 20?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b, -4*f - 27 = -5*b + 17. Let n = 37 - 35. Let i(c) = c**2 + 12*c**n - 6*c - 5*c**2. Let l(s) = 15*s**2 - 11*s. Give f*i(u) + 6*l(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 35\/((-3850)\/33)*5\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**6\/30 + 19*u**5\/30 + 24*u**2. Find the third derivative of d(f) wrt f.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4328745*b. Let g(a) = -12*a**2. Give v(g(y)).\nAnswer: -51944940*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-1 - 0) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*0.16.\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**5\/20 + s**4\/12 - s**3\/2 - 3*s**2\/2 - 6*s. Is 8 a factor of g(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 12:28 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1 + 7 = 0. Let x(m) be the second derivative of -m**5\/20 + m**4\/3 - m**3\/2 + 3*m**2 - 3*m. Determine x(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - c**2)*(-2 + 2 - c**2) - c**3 + 2*c**4 + c**3 - 61*c + 100*c - 27*c + 63*c**4.\nAnswer: 66*c**4 + 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**3 + 46*p**2 + 129*p + 1166. Give u(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2223)\/6552 + -1 + 5\/7?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*d = 133*d - 49970. Suppose 5*j = -3*m + 50, -3*m - 13 = -j - 75. Calculate the greatest common factor of m and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1863 - -1867. Let g(l) = 6*l**2 + 4*l + 2. Let d be g(-2). What is the tens digit of ((-84)\/d)\/(j\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -54, -104, -166, -234?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (320\/45)\/(13*(-78)\/18252).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 1, 3\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**4\/2 - y**3\/3 - y**2 + 5*y + 3. Let t be s(-4). Suppose 4*q - t = -q + 5*b, -5*q - 5*b + 165 = 0. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4418 + 6139 - 13593 + 5017)*(2*d**2 - 5*d**2 + 4*d**2) to h*d + f*d**2 + b and give f.\nAnswer: 1981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 97004.05 nanometers in kilometers?\nAnswer: 0.00000009700405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f - 259. Let i be a(58). Solve i*v + 26 - 181 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 - v**2 - v - 2. Let n(u) = -11*u**3 + 2*u**2 + 12. Calculate -n(w) - 3*s(w).\nAnswer: 17*w**3 + w**2 + 3*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 7*p - 1. Let x be ((-24)\/10)\/((-10)\/25). Give g(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1669*y + 1629*y - 1000 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -70188?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + w + 20 = 0, 12 = v + 3*w - 7*w. Let t(j) = -3*j - 2. Determine t(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 52098181, 104196360, 156294539, 208392718?\n\"Answer: 52098179*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1467.2 - 1466. Sort z, 5, 2, 2\/21.\nAnswer: 2\/21, z, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, -0.4, -146.\nAnswer: -146, -11, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-28))\/(((-6)\/27)\/(1428\/459))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 5*l + 3 = 0, p + 3852 = 3*l + 7704 - 3857 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*s**3 + 18*s - 210*s**3 - 16*s in the form n + w*s**3 + h*s + c*s**2 and give w.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 65434.15 millennia?\nAnswer: 65434150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -608738 less than 767068.16?\nAnswer: 1375806.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11014*j = -11078*j - 704 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from vcv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/180 and -137\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**4 + 5905*y**3 + 10851435*y**2 - 21720565*y + 10863230 = 0. Calculate y.\nAnswer: -998, 1, 2177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1473*a**6*k**3 - 7*a**2*k**2 - 17*a*k**3 - k wrt a.\nAnswer: 176760*a**3*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15440668*y**2 + 717*y - 807?\nAnswer: -30881336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -9. Suppose g - 7 = -3*c, -5*g + 8 = -z*c + 49. Find the second derivative of 0*o**4 - o + 0*o + 2*o**c wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 416 - 415.88. Put r, 1\/8, 1\/6, -2 in decreasing order.\nAnswer: 1\/6, 1\/8, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - l**2 + 2*l + 2. Calculate the remainder when (1 + 66\/(-30))\/(3\/(-95)) is divided by t(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 70*z**3 + 119*z - 67*z**3 + 19 - 13.\nAnswer: 3*z**3 + 119*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 357 = -n. Let t = n + 53. Factor 2\/3*r - 2\/3*r**3 + 0 + 0*r**t.\nAnswer: -2*r*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (2 - (0 + 5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1164339 and 11.2.\nAnswer: 13040596.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 190*v - 158*v - 17*v**2 + v**3 - 19 + 5 + v**2. Does 6 divide q(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 (base 9) in base 16?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -2. Let g(r) be the first derivative of 30 + 4*r + 1\/3*r**3 + 1\/2*r**2 - 1\/4*r**4. Give g(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 7. Let d(t) = -2*t - 3*t**2 + 5*t**2 + 3*t. Calculate the remainder when d(b) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -316 + 312. Suppose z - 6 = 2*k + 7, 19 = 3*z - 2*k. Suppose z*c - 5 = g, -4*c + 17 - 5 = 4*g. Sort p, 8, -5, g in increasing order.\nAnswer: -5, p, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3416 - 2a?\nAnswer: 33ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.238794 micrometers to centimeters.\nAnswer: 0.0004238794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -199 - -202. Suppose -2*j - 4 = 0, -j + 5 = b*d - 2*j. Solve -5*y = 2*g + d, 3*y - 1 = -2*g - 0*g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + n. Let y(k) = 24*k**2 - 22*k. Suppose -b + 10 + 6 = 0. Suppose b*w - 5*w = 22. Determine w*y(j) + 44*s(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/8)\/n)\/(n\/n**(5\/2)*n)*(n**(1\/4)\/n)\/n*n*n*n**(2\/9)\/n)**(2\/123))**(3\/28) assuming n is positive.\nAnswer: n**(-83\/41328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 23*u**2 + 49*u + 32. Give h(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -84. Let s be ((-6)\/(-18))\/(2\/m). What is the greatest common divisor of s and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49428619 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 16*m**2 + 435*m + 7070. Let l be i(-17). Sort 2, l, -106 in descending order.\nAnswer: 2, l, -106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 8 - z**4 + 8*z + 16\/3*z**3 - 10*z**2. Factor t(r).\nAnswer: -4*(r - 2)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 232161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n*n**17\/n*n)\/n)*n**4*n*n*(n\/((n**6\/n)\/n))**42 assuming n is positive.\nAnswer: n**(-136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**27)\/q*q**11)\/((q\/(q*q*q**(-29)*q))\/(q*q\/(q*(q*q**(-5\/6))\/q*q)*q)))**(1\/31) assuming q is positive.\nAnswer: q**(83\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3152 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/300576489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 58. Let b = g + -19.8. What is the second smallest value in -2\/5, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13103?\nAnswer: 13103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + -42 + 103 + -41?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/243)\/(-1*2*(-34)\/(-102))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**4\/2 - 4*u**3\/3 - u**2 + 4*u - 7. Is m(4) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00372694592 to 4 dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -448.7 - -442. Sort 2\/17, 4, j, 3 in decreasing order.\nAnswer: 4, 3, 2\/17, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -3. Let j = 12 + b. Solve -5*s + 18 = j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2549 + 0.0451. Let s = 5 + -4.8. Sort v, -20, -4, s.\nAnswer: -20, -4, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-84)\/63 - 26\/(-6). What is the highest common divisor of 15 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -887*o + 6832. Is j(-32) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -d + 2*z, -d + z + 68 = 72 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + (sqrt(63)\/sqrt(729) + -4 - -4*-4*sqrt(567))**2*2).\nAnswer: -46961560\/81 - 41440*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/98736 and 143\/1152.\nAnswer: 2369664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/20*(-24)\/(-33). Which is the closest to 1? (a) w (b) -14 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 20, -2*y - 193*s + 24 = -189*s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*v + 34*v + 33*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174016, 168731, 163446, 158161?\nAnswer: 152876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4338 and 51022907?\nAnswer: 51027245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2343 and 43778316.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 240 = -3*x, 0 = -0*x - 5*x + 2*d + 421. Calculate the greatest common factor of 83 and x.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxxxxrrqrrxraxrxqrr. Give prob of picking 2 r.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 37.\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 3*i**2 + 6*i - 4. Let x be t(4). Suppose 2*w = x*w - 6. Suppose -v + w*v - 10 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60495 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052765113 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 7\/6*n**6 - 47 - 11\/3*n**3 - 13\/4*n**4 + 0*n**5 + 2*n**2 + 0*n. Find the third derivative of r(b) wrt b.\nAnswer: 420*b**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 21*j**2 - 17*j - 74. Let d be v(-22). Let r = d + -407. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(((v\/(v*v**(-2\/7)))\/v)\/v))**(7\/3)*(v**0)**7)**(-8) assuming v is positive.\nAnswer: v**(-208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 4*k - 106. Let r(a) = -2*a**2 + 8*a + 210. Let h(j) = 7*i(j) + 4*r(j). Is h(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 185*l + 7830. Determine m(-42).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 5. Let r be (-96)\/56 + d\/14. Let q be (-2)\/(r\/(-2)*18). Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (2\/13 - 369\/117). Let y(n) = o*n + 4 - 12 - 5*n - 1. Let x(a) = -2*a - 4. Give -7*x(s) + 3*y(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/3, 2\/11, -0.7 in decreasing order.\nAnswer: 3, 1\/3, 2\/11, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000152074444 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/11 + 266*l**3\/11 + 7136*l**2\/11 + 6328*l\/11 - 1248 = 0. Calculate l.\nAnswer: -22, -2, 1, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -576.9688 + 577. Let p = -0.0312514 + r. What is p rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28873 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (-8 + 13 + -14 - -23 - 10).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/300 and 23\/10*(-252)\/(-324).\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2049\/2 in 4, -4, -0.5, 4\/117, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*10\/(-90))\/9.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.7621 plus -115.63?\nAnswer: -144.3921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -35.2. Let q = -0.06 + -14.94. Which is the second smallest value? (a) i (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 63\/(-13) + 54\/(-351). What is the third smallest value in -4, l, 10, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 839 + 857 = 0. Let h(m) = m**2 - 6*m - 3. Let p be h(7). Factor 20\/9*w**g + 14\/9*w**p - 6*w + 2\/9*w**5 + 6 - 4*w**2.\nAnswer: 2*(w - 1)**2*(w + 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y - 2*y - 6*y)*(3*y + 0*y - 4*y) - 3*y**2 + 1 - 1 - 4*y**2 + 3*y**2 + 0*y**2)*(-2*y - 13*y**2 + 4*y**2 + 1 + 11*y**2).\nAnswer: 6*y**4 - 6*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70024?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -306, -291, -274, -255, -234?\n\"Answer: k**2 + 12*k - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/16 and 39\/609220816.\nAnswer: 609220816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6721990?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i**2 - i + 1. Let a be 895\/20 - (-2)\/8. Let n = a - 42. Let j(z) = -6*z**2 + 2*z - 1. Let b(o) = n*q(o) + 2*j(o). What is b(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/3, -0.33, -4, -5 in decreasing order.\nAnswer: 1\/3, 0, -0.33, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98223603 is divided by 7702.\nAnswer: 7699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*5*11\/(-55).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270282161 divided by 2676061.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -24897.3 to the nearest 100.\nAnswer: -24900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 93, 90, 81, 66?\n\"Answer: -3*h**2 + 6*h + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -100001111111000101?\nAnswer: 100001111111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8087120699 to the power of 1\/9, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2943310 or 2943315?\nAnswer: 2943315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.4 - 0.6. Let i be -2 - (-3 + 2\/8). Which is the smallest value? (a) -3 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 5*a - 2. Let m be n(2). Suppose 2*s + 10 = 0, -q + 31 = -2*s + m. Solve 3 = 4*o - q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2800486 = 87*i - 4021967. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + 48 + (5 + 1 - (-22 + 22)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 - -75d?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + (-6)\/18)*(-3)\/(-2). Let r = m - -1. What is the derivative of r*s - 2*s - 2*s**3 + 72 - 70 wrt s?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 1447.\nAnswer: -723.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 201*d*q**2 + 8*d*q + 151*d - 33*g*q**2 - 8*g*q wrt q?\nAnswer: 402*d - 66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 39.9. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 5*b - 5. Suppose 0 = -4*h - 4 + 12. Suppose -t - 30 = -3*g - h, -g - 5*t = 12. Suppose 2*y = -0*y + g. Determine m(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166655641 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*p - 4. Let w(l) be the second derivative of -l**3\/6 - l**2\/2 - l. Give w(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 0 = -5*q. Suppose 2*l + q - 28 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m + 45 = -31 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 19*r**2 - 910*r - 71. Calculate j(48).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 16269?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) - 14\/(-4). Let b = -1 + s. Suppose -b*f + 3*l - 1 = 2, 5*f = 5*l. Which is greater: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -16*s + 6. Let x(t) = t. Let f(b) = -151*b + 55. Let l(a) = -f(a) - 6*x(a). Let q(w) = -6*l(w) - 55*n(w). Let c(z) = -3*z. Calculate c(q(y)).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 18. What is the highest common factor of 49 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1012, 86, 0.5, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 10*l + 14. Let r be i(6). Let s(u) = u**2 - 3*u + 3. Let y(b) = -4*b**2 + 13*b - 13. Let w = 17 - 11. Determine r*s(g) + w*y(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 15*x**2 + 17*x + 16. Let l = -177 - -196. Is b(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 - -100100?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(1 - (0 - 2)). Suppose o + 0*o - 41 = h. Calculate the remainder when o is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -59, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15701798401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -205 - -592. Let k = q - 387.0000043. Round k to seven decimal places.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + -1 + sqrt(11) - sqrt(11)*-2*-2) + sqrt(121)\/(sqrt(11)*2*3) + (5*3*sqrt(66))\/(4*(sqrt(96) + sqrt(6))).\nAnswer: -1 + 119*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4\/7 - 3708*i**3\/7 - 7428*i**2\/7 - 3716*i\/7.\nAnswer: 4*i*(i - 929)*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -24021.\nAnswer: -24020.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -41 and -8191203 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50.9 - 53.9. Let u be -3 - (-5)\/(55\/31). What is the third smallest value in u, 5, t, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {z: 4, y: 1, k: 6}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*t + 99*t = 3*l + 60, -4*t - 12 = 0 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 4.7. Let z = -0.42 + 0.02. Let x = z - j. Which is the third biggest value? (a) -3\/4 (b) 0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-179)\/(-537))\/(477\/(-162))?\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + -1.5. Sort z, 2\/3, -0.1, 4.\nAnswer: z, -0.1, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02671 take away -14?\nAnswer: 14.02671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8 - 4 = 0. Let o(r) be the second derivative of 0*r**2 + 0*r**c + 0 - 1\/6*r**3 - r - 1\/20*r**5. Find the second derivative of o(a) wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 3 - 3)*(4 - 4 - 1) + 2 + o - 2 - 1137 - 3*o + 1139 - 33*o.\nAnswer: -37*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, l: 1, d: 3, g: 3, m: 2, j: 1}. Give prob of picking 1 l, 1 g, and 1 j.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and (-790)\/(-8) + 1\/(-8)*-2.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2)*(-1)\/2 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4340 from 536766332.\nAnswer: 536761992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 - 2.93. Let g = 3 + i. Let y = -1.2 - -1.3. Which is the closest to y? (a) -4 (b) -1\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 545370385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2 - 5) + -45 + (-12 + -34 - -43)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 23. Does 7 divide 3 + (-54)\/(-4)*h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - f - 25. What is t(6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25436362 is divided by 264962?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 123?\nAnswer: -22\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 111*y - 35*y - 43*y - 39*y + 5 - 9*y**2. Let z(i) = -9*i**2 - 5*i + 4. Let u(k) = -4*q(k) + 5*z(k). What is u(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/5 + (8\/(-20))\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (74 + -7 - -5)*(-161)\/(-4)?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**4 + 174*p**3 + 962*p**2 - 14574*p + 13442 = 0. What is p?\nAnswer: -11, 1, 13\/2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009253019 to 7 decimal places.\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3203643 is divided by 3147?\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7258 by -37.\nAnswer: 7258\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 13) in base 5?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -7 (c) 2 (d) -281\/51 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*t**3*v + 27075*t**3 + 4*t**2*v + 2*t*v + 33526*v + 619 wrt v?\nAnswer: 6*t**3 + 4*t**2 + 2*t + 33526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29339, -58713, -88173, -117761, -147519, -177489, -207713, -238233?\n\"Answer: -7*c**3 - c**2 - 29322*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/7 + (-2)\/21. Which is the smallest value? (a) -1 (b) 0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 2 (b) -5 (c) 21 (d) 0 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3160.537 + 0.027.\nAnswer: 3160.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3122074433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - (21 - 13)) + -15 + 2 + -9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 4*v**2 - 2*v. Let x be b(3). Suppose 0 = -x*m + 2*m + 79. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -10, 9, -1, 4, 56, -4 in decreasing order.\nAnswer: 56, 10, 9, 4, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -2 - f**3 + 3*f - 3\/2*f**2 + 1\/2*f**4. Let q(v) = -13*v + 16 - 13*v**2 + 8*v**3 - 3 + v**3. Calculate -26*p(a) + 6*q(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(48) + 4.\nAnswer: 4*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 + 354*n + 355*n - 709*n.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(5) + sqrt(40)\/sqrt(8) + 1.\nAnswer: -3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 6:51 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96 or 2\/4040143?\nAnswer: 2\/4040143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v - 71 - 4*v + 10*v.\nAnswer: -v - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -16. Solve 4*o = n*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 3:57 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 - 113*n\/4 + 111\/2.\nAnswer: (n - 111)*(n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 4 = -13*t. Let v(w) = -2*w + 10. Let o be v(8). Let z be 14\/3 + t\/o*-1. Solve -1 + 16 = -z*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2313, -2217, -2121, -2025, -1929, -1833?\n\"Answer: 96*y - 2409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 550?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7025 is divided by 369.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 272 and 36184.\nAnswer: 1230256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 491007533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**3 - 5*y**2 + 6. Let n(r) = -r**3 + r**2 - 1. Let c = -1 + 7. Let b(o) = c*n(o) + i(o). Find the third derivative of b(v) wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**3 + 6*g**2 + g + 6. Suppose -3*j + 30 = 2*j - 5*i, 4*j + 4*i = 24. Let l(b) = -b**2 - 1. Give j*l(c) + q(c).\nAnswer: -6*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/44919 and 67\/4830?\nAnswer: 449190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4)*b\/(b\/(b**(-4)*b*b)))**40\/((b*(b\/(b\/b**(-2\/7)))\/b*(((b*b**(1\/6)*b)\/b)\/b*b)\/b*b)\/(b\/(b**5*b)*(b\/(b**(-2\/9)*b*b))\/b*b)) assuming b is positive.\nAnswer: b**(-12179\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-33 - -14 - (73 - 0))) + 17?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.107\nAnswer: 0.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -184 and -0.2659?\nAnswer: 48.9256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (15 + -7 - 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24459*j**2 + 24171*j**2 - 14290*j**2 + 9186*j**2.\nAnswer: 43526*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-210)\/15 - (-11 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4607, 9883, 15159, 20435?\n\"Answer: 5276*b - 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4 - 6\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67153344 by 16788336.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 2:47 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-234)\/(-42) - (-4)\/(-7). Suppose -g*i = -2*w - 6, 3*w - i = -6*i + 41. What is the nearest to -2\/7 in -3, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -4, -1\/4, 174, 2, 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*38\/(-1881) - 105\/756?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) 2\/59 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -332 (base 11) to base 3.\nAnswer: -112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2 - 4*j + 0*j**2 - j**3 + j - 4. Suppose -4*l - 3*v + 0 + 3 = 0, -5*l - 10 = v. Give z(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -4*h - 8, -82*h - 5*q - 1 = -80*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -81*m + 2468. Is w(-25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 31*w**2 + 2*w - 2. Let h be f(-2). Let x(j) = 823*j + 721. Let u be x(-1). Let d = u + h. Solve -z - 5 = -r + 4, 4*z = -d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 17*x + 40. Determine i(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.0056 - 28. Round k to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, f: 1, y: 2, t: 4, o: 5, v: 1}. What is prob of sequence fyy?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 3 - 5*-1. Suppose 5*b - b = 20. Suppose 3*y = x + 4*x + 5, 5*y + b*x = -5. Solve 0 = q + z + 2, a*q = -y*z - 2*z - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.253 - -12.253. What is the fourth smallest value in -1, -5, x, -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - i - 46. Let c be j(0). Let u = 101 + -33. Let g = c + u. Solve -f - 4*f = 3*l - g, -2*f = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53042800 and 16.\nAnswer: 53042800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347300 is divided by 43412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 4*y. Let g be 2\/5 + (-74)\/10. Let l = g - -12. Put -2, l, y in decreasing order.\nAnswer: l, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -101*i**2 + 11*i + 8. Let m(t) = 268*t**2 - 34*t - 23. Let f(k) = 8*c(k) + 3*m(k). Calculate f(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n - n**2 + n - n**2 + (-1 + 8 + 6)*(-2*n**2 + 4*n**2 + 0*n**2) in the form d + q*n + r*n**2 and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**4 + 4905*f**3 + 1600150*f**2 + 174542880*f + 342724320 = 0.\nAnswer: -348, -283, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q - 6*q**2)*(-3 + 30 - 16)*(2*q + 3*q - 6*q).\nAnswer: 66*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -713319589.0459952 + 711766994.046. Let l = p + 1552630. Let m = l - 35. Round m to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 713.22453ms?\nAnswer: 0.000198117925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5399*y - 5521*y = 3050 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/893928 and -143\/8568?\nAnswer: 2681784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 5*x - 2. Let h be (-1)\/((28\/8)\/(-7)). What is n(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120672829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**4 - 4*y**4 + 3*y**4 + (-5*y**3 + y**3 + 2*y**3)*(-1 - 1 + 5)*(15*y - 395*y - 672*y) as j*y + l*y**4 + n*y**3 + v + a*y**2 and give l.\nAnswer: 6314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 9*u - 7*u - 4, 5*s + 60 = -5*u. Let j = -14 - -8. Which is greater: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p - 48 = -8*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536 is divided by 506?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 - 0.0883376554?\nAnswer: -175.0883376554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5 - 36*v**3 - 64*v**2 - 30*v = 0.\nAnswer: -3, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + 5*-1*sqrt(208) + -3.\nAnswer: -20*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 61, -47, -201, -413, -695, -1059?\n\"Answer: -2*h**3 - 11*h**2 - 61*h + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.39? (a) -2\/7 (b) 2 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -113523221 (base 6) to base 2\nAnswer: -1000001010111000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22117.5 or -19.4?\nAnswer: -19.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12201011 - 110021?\nAnswer: 12020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173 + (-14 - -2) + -82 + 51.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85262.56 litres?\nAnswer: 85262560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 2, 3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1496.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 6*c - 49*c**2 - 6*c + 7*c.\nAnswer: -49*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127595212 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 235041986 to the nearest integer?\nAnswer: 15331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2187.66 - 1914.4. Let o = z + -268. Let x = -0.26 + o. Which is the second biggest value? (a) x (b) -0.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suu when three letters picked without replacement from {u: 4, b: 3, w: 2, y: 2, g: 1, s: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 14496.\nAnswer: 14496.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -25*p**2 - 267*p - 10. Let v(b) = 8*b**2 - 3*b + 1. Let h(r) = a(r) + 3*v(r). Let x(s) = -2*s**2. What is h(x(n))?\nAnswer: -4*n**4 + 552*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52873.85 years to centuries.\nAnswer: 528.7385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -144*h + 1306. What is b(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/(-10))\/(4\/16). Let t be 32 + f*(-1 - 1). Suppose -3*h + 4*r + 128 = 0, 2*r + t = h + 4*r. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488 + 570 + 4259*y**2 - 4260*y**2.\nAnswer: -y**2 + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7784\/24 - (-1)\/(-3). Calculate the greatest common factor of p and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeef when four letters picked without replacement from {f: 3, e: 12}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.024 and 1188?\nAnswer: -28.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 19429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 338304 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79427921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 52, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331016432 divided by 4.\nAnswer: 82754108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*w - 6*w + 6, -5*s - 3*w + 7 = 0. Calculate the remainder when (-3)\/27 + ((-2620)\/(-45))\/s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 231*u + 180*u - 372*u - 78 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}