diff --git "a/data/dm_maths/full_data/1372_11255.jsonl" "b/data/dm_maths/full_data/1372_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1372_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -2 - -11 - (2574\/(-91))\/(-3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 37. What is the remainder when 53 is divided by 248\/14 + x\/56?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7741b93 - 0?\nAnswer: 7741b93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -456 + 1594. What are the prime factors of d?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -243 - -247. Solve 5 = c*v + v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z - 2. What is the common denominator of 101\/66 and (-8)\/z - 1*(-70)\/(-80)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145083283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.6 - 25. Which is the smallest value? (a) m (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/99 or -1\/730419?\nAnswer: -1\/730419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 2287887.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380418, -380424, -380430?\nAnswer: -380436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2\/49)*p**8 assuming p is positive.\nAnswer: p**(439\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/9 - 18950*m**2\/9 - 37894*m\/9 - 18946\/9 = 0.\nAnswer: -9473, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-2)*j\/((j*(j\/(j**(-2\/17)*j))\/j)\/j*j)*(j\/(j\/(j*j\/j**(2\/5)*j)))**(7\/9) assuming j is positive.\nAnswer: j**(4517\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 5*c**2 - 5*c + 7. Let j be q(-6). Suppose 0 = 2*o - o. Let y be o\/(1\/j*-3). Solve -3*b - 17 + 2 = y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m**3 + 11*m**3 - 7*m**3 + 13 - 3*m**2 + 6*m**3 + 2*m**4 + m**3 to the form c*m**3 + z*m + l*m**4 + s + f*m**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 10*x**2 - 18*x - 14. Let l be h(-8). Suppose l*m + 2 = 8. Let d be 34\/10 + (-2)\/5. Solve 0*i + d = m*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/10)\/((-127)\/10795). Do p and 100 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**5 - 307*v**4 - 6*v**3 + 33*v**2 + 3*v + 1 wrt v.\nAnswer: -60*v**2 - 7368*v - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/15 - 4*i**2\/3 - 2906*i\/15 + 2924\/15.\nAnswer: 2*(i - 43)*(i - 1)*(i + 34)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-35)*(-2040)\/272?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 124*d**5 + 30*d**4 + 12*d - 2398 wrt d?\nAnswer: 2480*d**3 + 360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + u - 2. Let t(i) = -855*i**2 + 5*i - 12. Calculate -5*o(z) + t(z).\nAnswer: -860*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 i when three letters picked without replacement from {c: 2, i: 10, w: 3, r: 3}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 6. Suppose -2*i = -4*n, -2*i - i + 4*n + t = 0. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2125854.\nAnswer: 2, 3, 89, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 3*c = -75. Let o = 17 + c. Factor -a**o + 41*a + 2 - 37*a - 6.\nAnswer: -(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 164479*u - 6085716. Calculate q(37).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4386584 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175336022.\nAnswer: 2, 87668011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 1. Let y(d) = -4*d + 49. Determine 3*x(t) - y(t).\nAnswer: t - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 5\/3*m**3 + 19\/2*m**2 - 1\/20*m**5 + m**4 + 0 - 15*m. Is u(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -6. Suppose 2*m = w, -x + 2 = 3*m - m. Suppose 0 = t + t + 4*y + 6, 4*y + 8 = 0. Sort t, x, -2 in ascending order.\nAnswer: -2, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-4046)*34354268526768143933\/2730. Let p = 3110227668156 + v. Let f = p - -1\/11271. Calculate the common denominator of 89\/2 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**6\/120 + 13*i**5\/60 - 11*i**4\/24 + 5*i**3\/6 - 2*i**2. What is the units digit of b(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 586 + -587. Which is the third biggest value? (a) 1\/4 (b) 3 (c) m (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5 = -13 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 47*g - 632 = -43*g, 5*i = g + 790. Calculate the remainder when i is divided by 56.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/6)\/5*(160\/(-6))\/(-20).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -29, -42, -55, -62, -57, -34, 13, 90?\n\"Answer: p**3 - 6*p**2 - 2*p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, o: 3}. What is prob of sequence oyy?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/1015)\/((-28)\/(-154)*-11)*-21?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*r + 20 = 311*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 5*m**2 - 6*m + 5. Let f be i(6). Let u = 21 + -17. Solve -3*v + 12 = 2*v - u*l, -5*v = f*l + 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 1926336.\nAnswer: -7705344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 320660 to the nearest integer?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10815, 21844, 32863, 43866, 54847, 65800?\nAnswer: 76719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506650 + 479 = t + 40*t. List the prime factors of t.\nAnswer: 3, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-25)\/10)\/(1 - (-6)\/(-4)). Suppose -5*n - 3*o + 5 = -n, t = -5*o. Suppose 3*g - n = -4*f, 3 = -4*f + 3*g - 7. Which is greater: f or 2\/57?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 152273363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k - 97. Let u be h(15). Solve 0 = u*d + 19 - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 4:51 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/80)\/((-2)\/(-12))*133\/(-1463).\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127634 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 13) in base 2?\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11766610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11725104 a multiple of 758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*y - 14*y + 3. Let q be (y\/9 - 2528\/(-12)) + -2. Calculate the greatest common factor of 19 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**2 + 2*u - 63. Let o(j) = 2*j**2 + 87. Let m(r) = 3*f(r) - o(r). Find the first derivative of m(q) wrt q.\nAnswer: -4*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 16 = 2*t - 2*z, -t - z = 1. Let p be 6\/((-2)\/t) - -2. Let o be 0\/p + (-4)\/14. Which is smaller: o or 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*t**2*y**2 + 7703*t**2 + t*y**2 + 160*t - y + 4 wrt t?\nAnswer: 16*y**2 + 15406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 89*f + 161. Determine j(-3).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 69*i + 7. Let c be b(4). Suppose 0 = -3*d + 2*d + c. Let p = d - 140. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*v**2 - 9*v = 0. Calculate v.\nAnswer: 0, 3\/50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 36*z**2 - z. Let g = -2 + 7. Let w(r) = -3*r + 6*r + r - g*r. Give w(f(i)).\nAnswer: -36*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 - 22*q + 22*q)*(2*q - 14*q - 4 + q) in the form l*q**2 + b + k*q**3 + o*q and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 13. Let u = -4 + p. Let i be 5\/(u*(-3)\/6). Put 3, -2, i in ascending order.\nAnswer: -2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 441 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**4\/4 - 2*i**3 - i**2\/2 - 8*i + 3. Let n be u(-6). What is the remainder when 43 is divided by (10\/4)\/(n\/(-12))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58090, 58099, 58108?\nAnswer: 58117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - v**2 - 2*v + 1. Let h be m(-2). Suppose -b - 13*g - 9 = -8*g, -3*b = 3*g - h. What is the remainder when 89 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -35. Calculate the smallest common multiple of 21\/((1 - 6) + (1 - -5)) and w.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2120102000 (base 3) to base 9\nAnswer: -76360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 253207049, 253207047, 253207045, 253207043, 253207041?\n\"Answer: -2*s + 253207051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k - 3*k. Suppose -3*i - x - 310 = k, -x - 122 = i + 4*x. Is i smaller than -101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -24*t**3 - 1. Let h = -5 + 4. Is 9 a factor of o(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hph when three letters picked without replacement from {h: 2, p: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 287506.3ng in grams?\nAnswer: 0.0002875063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1016, -2380, -3752, -5126, -6496, -7856, -9200, -10522?\nAnswer: -11816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 33.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -1, 4, -4, 2312 in ascending order.\nAnswer: -4, -1, 4, 43, 2312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*b - 222, -133 = -3*b + 5*u + 199. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -4170477?\nAnswer: 1\/1390159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -362*t**3 + 11*t**2 - 14655*t wrt t?\nAnswer: -2172*t + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1 - h - 7*h + 3*h. Let t(x) be the third derivative of -x**4\/24 + x**2. Calculate -d(f) + 3*t(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*g - 4065, 4*z - 14*g + 3243 = -9*g. Let l be 3*(z\/(-20) + (-6)\/(-15)). Suppose 2*c + w = l, 32 = 3*c - 4*w - 136. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d. Let g = 0 - -2. Let l(k) = -14*k + 14*k + k**g. Give l(s(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2\/1739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3534034*o*x - 55*o - 666412350*x with respect to o.\nAnswer: -3534034*x - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 492 + 0.7.\nAnswer: 492.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4236251 is divided by 485.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 180242 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**6\/360 - j**5\/12 - 109*j**4\/12 + 18*j. Let t(n) be the third derivative of m(n). Calculate t(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.837845l in millilitres?\nAnswer: 3837.845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 924184436 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 1:18 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, x: 4, m: 1, a: 1}. What is prob of picking 1 h and 1 m?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2110 - 160 = 10*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k + 546 - 95 + 4*k + 458.\nAnswer: -3*k + 909","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001916448 rounded to six decimal places?\nAnswer: 0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 = 0, -1 = -8*f + 5*f + z. Let h be 2*(1 - f) - (1 + 0). What is the closest to -0.1 in 4, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221, 447, 673, 899, 1125, 1351?\nAnswer: 1577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1 = 1. Suppose 4*j - 3*h - n = 0, 15 = 3*h - 0*h. What is the lowest common multiple of j and (-21)\/(-2) + 2\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4404)\/63 - (((-61272)\/189)\/(-23) + (-48 - -34)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 11:12 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 + 67.4. Let x = 231\/458 - 1\/229. Let k = 0.42 - -0.08. What is the nearest to x in o, 8, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 874 - 475. Let r(x) = 196 - j + 201 - 4*x. Let z(m) = -m**3 - 2*m**2 + m. Let w be z(-2). Determine r(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28519, 64177, 99835?\n\"Answer: 35658*d - 7139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10928254?\nAnswer: 2, 5464127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -13*m**7\/105 - m**5\/60 - 11*m**4\/6 + 3*m**2 - 14*m. Find the third derivative of r(q) wrt q.\nAnswer: -624*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 115 (b) 3 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5645, -11290, -16935?\nAnswer: -22580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 - j - 1. Let c(i) = -i + 9. Let g be c(4). Let x be n(g). Suppose -4*u + 3*k = -2*k - x, -u = 5*k - 11. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, p: 3, a: 2, r: 2, s: 2, m: 6}. Give prob of picking 1 s, 1 r, 1 p, and 1 f.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5219592 by -14.\nAnswer: 372828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2 + 1632*k - 219924 = 0. Calculate k.\nAnswer: 246, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -210*y**2 - 202*y**2 + 7 + 414*y**2. What is the least common multiple of 30 and f(4)?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g - 5. What is the lowest common multiple of (120\/(-84))\/((-20)\/168) and h(5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -143486365*t**3 + t**2 - 1156*t - 33660.\nAnswer: -860918190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/(-20)*(-94)\/517?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/((-4)\/12*-3) + 2. Let t be 3\/18*h + 3\/18. Solve 12 = -3*p + 4*z, -z - t*z = 2*p - 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -15 + ((-824)\/56)\/(-1). What is the fourth biggest value in 3, r, -2, -3, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 1.3. Let o = 58427\/7 - 8347. Let u = -2092\/1735 - -2\/347. Sort 2, o, p, u in descending order.\nAnswer: 2, p, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from {r: 2, z: 2, a: 2, s: 3, k: 1, x: 4}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 4:46 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 282097166 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*g + 147 = -179*g. Let d = -18 - g. Is d > 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w - 19*w + 0*w. Let d(o) = -1009*o + 6 + 0 + 1014*o - 6. Determine q(d(p)).\nAnswer: -105*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 103078087 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 14*w + 18. Let p = 64 + -77. Let n be f(p). Suppose -2*x + n*a + 13 = -x, 5*a + 1 = -3*x. Solve -g + 8 - x = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*d = 3*d + 3, 2*d = -5*u. Calculate the highest common factor of 178 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*v + j - 8, v + 2*j = 1. Suppose 0*b - 3*b = -12, 0 = v*r + 5*b - 74. Solve 0 = -5*o + 3*a + 3, -5*o + r = 2*a - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3628, 4342, 5048, 5740, 6412, 7058, 7672, 8248?\n\"Answer: -g**3 + 2*g**2 + 715*g + 2912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + d**2 - 3*d - 2. What is m(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34, -24, -16, -16, -30, -64, -124?\n\"Answer: -a**3 + 5*a**2 + 2*a - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 - -103.39. Let l = p - -0.11. Which is the second biggest value? (a) l (b) -2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - n - 4, 2*b + 245*n - 244*n = -4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -3*t**7\/70 + t**6 - 38*t**5\/5 + 12*t**4 + 72*t**3 - 10*t**2. Suppose h(w) = 0. Calculate w.\nAnswer: -2\/3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 2*y**2 - 2 - 1 - 1 - 4*y in the form f + o*y + x*y**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.042? (a) 4\/5 (b) 4 (c) -7 (d) -0.5 (e) 2 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -407, -1614, -3621, -6422, -10011, -14382, -19529?\nAnswer: -25446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 48, -13, -5, 3 in decreasing order.\nAnswer: 48, 3, -5, -13, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 33*m + 270. Let x be y(15). Solve x = 3*f + 15*f - 54 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2839 + 90899*w**2 - 2839.\nAnswer: 90899*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (sqrt(68) + 1 + 2)**2).\nAnswer: -80 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1100 + 1105. Sort 4, -4\/3, l, 688.\nAnswer: -4\/3, 4, l, 688","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4466*t**3 - 23*t - 37. Is z(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 95 and 93 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g*q**2*x - 2*g*q*x**3 - 2*g*q - 1690352*q**3*x**3 + q**3*x + 1255*q**3 - 10*q - 2*x wrt x.\nAnswer: -12*g*q*x - 10142112*q**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*t - 35, -3*t - 4*u - 14 = -52. Let r be (-12)\/(-2)*(-7)\/(-21). Let l be 3 + (1 - (-2)\/r). Solve -t*v + l*v - 1 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 318.4 - 318. Let y = 108\/5 - 22. Sort -0.5, y, n.\nAnswer: -0.5, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d + 1\/54*d**4 + 1\/27*d**3 + 0*d**2 + 0. Factor k(t).\nAnswer: 2*t*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/((z\/z**(3\/5))\/z))*z)\/z)\/(z*z**(16\/7)\/z*z)*z*z*z**(-4\/13)*((z\/((z**(-13)\/z)\/z))\/z)\/z assuming z is positive.\nAnswer: z**(5372\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-174)\/(-10) + (-6 - -7)*-6. Is 12 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*y - 4130 = 327*y + 8239 for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v - 7. Let z be t(2). Suppose 3*f = 2*y - 0*f - 11, f - z = -4*y. Let o be 6\/(-14) - (-87)\/7. Sort o, y, -3 in descending order.\nAnswer: o, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 10 - 26. What is the remainder when (-70)\/(-28)*4*2 is divided by (-4)\/(-4 + (-33)\/q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*f - 27. Let d be 12\/(-10)*(-30)\/f. Suppose 3*v - 4*v = -d*h - 30, -4*v - 3*h = -120. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 25. Suppose u*n = 5*n + 15. Solve -5*r - n*p - 3 = 1, 2*p = r + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/2913, -5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -35*x + 8. Let q(w) = 12*w - 3. Give -8*q(f) - 3*y(f).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5904*l. Let h(d) = 1968*d. Let b(t) = -17*h(t) - 6*v(t). Let c(g) = g**2. What is b(c(p))?\nAnswer: 1968*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -5581278 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbmommbmuwbmomonobwm. What is prob of picking 1 n and 1 b?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -964*i**4 - 982*i**4 + 1944*i**4 - 1493*i**5 + (4*i**3 + i**4 - 4*i**3)*(3*i - 3*i - i).\nAnswer: -1494*i**5 - 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 - (-1)\/3. Let i(s) = 1933 - 1933 + 5*s. Calculate i(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/((-2 - -1)\/3). Suppose -4*w - 2*j = -110, 0 = 3*w + 4*j - j - 84. What is the highest common factor of w and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -8. Let q(s) = -2*s + 16. Let o be q(7). Suppose -o*h + c = h - 8, 12 = 4*h - 2*c. Solve -r*j = 13 + h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j = 17*j - w + 173, 6 = -2*w. What is the remainder when 44 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 682158.5 millennia to decades.\nAnswer: 68215850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3560724?\nAnswer: 2, 3, 98909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1344, -2688, -4032, -5376, -6720?\n\"Answer: -1344*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4 = 1. Let z(d) be the first derivative of d + 5 + 2\/3*d**3 + 0*d**2. Determine z(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0 (c) 6092679 (d) 0.5 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131293811?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -373, 0, 14, -4 in ascending order.\nAnswer: -373, -4, 0, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000717755573 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m - m)*(-2*m**2 + 6*m**2 + 2*m**2).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 11. Let s be (b\/(-16))\/((-3)\/4). Suppose -s*c + 23 + 1 = 0. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/512958 and -43\/336?\nAnswer: 28725648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 0*n**2 + 0*n**3 - 15*n + 7\/12*n**4 + 0. Let b(a) = 2*a. What is b(q(t))?\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3010 divided by 301.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 6. Let w(i) be the third derivative of -i**6\/120 - 2*i**5\/15 - 7*i**4\/24 + 5*i**3\/6 - 2*i**2. Let y be w(-7). Does 11 divide s(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 5:45 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n*n*n**1*n*n))\/n)\/n)**(-47)\/(n**(-1)\/n)**(-29)*(n**(2\/9)\/n*n*n**(-1\/13)*n)**(-15) assuming n is positive.\nAnswer: n**(6233\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 44*u**2 - 9*u - 821. What is the ten thousands digit of h(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-20)\/6)\/(-5))\/(290\/(-15)). Let n be (0\/(3 + -7))\/2. Which is greater: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2 - 1. Let o be c(1). Suppose -2 = 5*l - 12. Let x be 10\/2*o\/l. Solve -x = -n - n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3 + 17\/(-24). Let p be 1\/(-3)*(-12)\/(-22). Let w = 14521.3 - 14521.7. Sort 0.2, w, p, j.\nAnswer: w, j, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30311 (base 4) to base 3.\nAnswer: -1010102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**3 - 6*z**2 + 38*z + 170. What are the prime factors of y(13)?\nAnswer: 3, 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {o: 1, u: 4, d: 1, p: 4, k: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22981007 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3627467*f**3 - 4*f + 63845 wrt f.\nAnswer: -21764802*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27729 divided by -351.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Suppose 3*s**3 + x*s**3 - 4*s**3 = 0. Calculate s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88085785 is divided by 44042886.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*s + 3 - 12, v + 4*s + 9 = 0. Let i = -17 - -23. Let j be (i\/(-4))\/(369\/(-6)). Does j = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121185.\nAnswer: 3, 5, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 82264 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 324355570?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l - 1. Suppose -31 = -5*s - 6. Suppose r + 4*j - 4 = 10, -s*j = 0. What is the remainder when z(7) is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/5)\/h**1*((h\/(h\/h**(2\/5)))\/h)**(-2\/39))\/(h**(11\/3)*h*(h**(-4)*h)\/h*h)**(-3\/8) assuming h is positive.\nAnswer: h**(-119\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.23474 centuries to decades.\nAnswer: 122.3474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1487577725.\nAnswer: 5, 2063, 28843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18697, 76950, 174027, 309922, 484629, 698142, 950455, 1241562?\n\"Answer: -r**3 + 19418*r**2 + 6*r - 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -14.1 (b) -0.06 (c) -4 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72908 is divided by 857.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixteenth of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l, 4*l - 2 = -4*a + 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/3 + 0)*15. Let d = h + -10. Which is smaller: -1.2 or d?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*y - 2 = 2, 0 = 3*y - 3. Let t be (-20)\/(-25)*10\/f. Suppose t*x + 4*b = 12, -2*b = -x - b + 9. Solve x = -p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (74 + -72)\/(2 + -2 + -1). What is the nearest to -8 in 4, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u - 4*l = 9, 50 = 4*u - 2*l. Let m = 0 - u. Let t = m + 6. Let r(w) = w**3 + 6*w**2 - 7*w + 7. Give r(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/(-2 - 6\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 151*b**4\/4 - b**2\/2 - b + 3. Let y be x(-1). Let z = y - -218. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (0 - -1) - 2. Suppose -g*v = 3*v - 10. Calculate the common denominator of -67*v\/(-16) + 1 and -74\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 11:36 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/13390 and -43\/98.\nAnswer: 656110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8756207.3911 - 4.\nAnswer: -8756211.3911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3488342?\nAnswer: 2, 11, 13, 12197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 18*x**4 - 28*x. Let z(m) = -36*m**4 + 56*m. Let s(t) = -5*j(t) - 2*z(t). What is the second derivative of s(n) wrt n?\nAnswer: -216*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 2*l - 60. Let y(a) = -10*a + 2. Let f(o) = -3*o + 5*o - o. What is l*f(c) - y(c)?\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2) - (-35)\/10. Let j(u) = -4*u - 3. Let d be j(-3). Suppose 11 = 5*n - d. Solve 2*y = -p*m - 2, -m - 3*y - 5 = n*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 - 17*w + 17*w)*(4*w - 167 + 167).\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**4\/6 + 5*m**3\/3 - 561*m**2. Give c(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -2, 13, 2, 0, -0.06, 41.3 in ascending order.\nAnswer: -2, -0.06, 0, 1\/3, 2, 13, 41.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11239675 and 41847.\nAnswer: 438347325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2980 and 39932?\nAnswer: 199660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + -8 - 10 - (-391 + 347)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(245))**2 + (sqrt(500)*-2)**2 + -3 + 5.\nAnswer: -28*sqrt(5) + 2251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -23*h**2 + 2*h - 40412. Let d(u) = -4*u**2. Calculate w(d(a)).\nAnswer: -368*a**4 - 8*a**2 - 40412","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**2 - 32*a + 11*a + 19*a + 4*a - 35 = 0?\nAnswer: -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 - n**3 + 3*n**3 + 2*n**3 - n**3 + 6*n**3 + (3*n**2 - n**3 - 3*n**2)*(6 - 8 + 5) to h*n**3 + a + t*n**2 + x*n and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8925.\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from weweaawelv. What is prob of sequence ev?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*d = -9*d + 44 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -437035 + 437034.760031. Let d = h - -0.24. Round d to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 17*b**3 - 5*b**2 - 2*b - 3. Is s(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -28 in increasing order.\nAnswer: -28, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 10*d - 6*d - 34 = 0, 4*h + 3*d = -231. Let o be ((-3)\/4)\/(11\/792). Let l = o - h. Which is bigger: l or 6\/17?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 10:26 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 - 3*f**2 + 810*f**3 + 2909*f + 3874*f + 5*f**2 - 809*f**3 in the form z*f + n*f**2 + l*f**3 + k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-26))\/(-6))\/(-3).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1686 - 2343 = -132*m + 2379 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -1731.05, 1 in decreasing order.\nAnswer: 1, -2\/13, -1731.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -108. Solve -h + 71 = 6*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i + 5. Let o(t) = -6*t + 13. Let g(p) = 3*o(p) + 2*y(p). Calculate g(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 45145 * 11404\nAnswer: 514833580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 - 27\/(-12). Suppose -102 = -4*o - i*h - 0*h, o - 2*h = 18. Suppose 0 = -5*n + 3*n + o. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*i = -3 - 2, 4*w = -3*i + 18. Suppose 0 = 17*h - 15*h + 4*u - 67210, 0 = -4*h - w*u + 134395. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/14 + 148\/(-476). Which is bigger: p or -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q. Let b(u) = -17*u**2 + 5 + 23*u**2 - 2 - 6. Give w(b(j)).\nAnswer: 12*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1324 + 1319.47. Which is bigger: 0.2 or l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387444 is divided by 2919.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(18) + sqrt(288) + sqrt(18)))\/(-4*sqrt(36)) - (1 + 1*sqrt(2) - sqrt(6)\/(sqrt(3) - (sqrt(6)\/sqrt(2) - sqrt(3)))))*4)**2*-3.\nAnswer: -264 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.11, 2, 1.6 in increasing order.\nAnswer: -0.11, 0.4, 1.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3 - 2036*d**2 - 24*d - 21?\nAnswer: -12*d - 4072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/7, -2, 76, 0.09, -6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 11. Solve 5*r = -3 - m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 8*g**2 - 316*g - 2795. Give u(-9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2329 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10*m + 13. Calculate b(-7).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*x + 4. Let q = -388 - -386. What is the second smallest value in -5, x, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 276 + -246. Let y be (0 - -21)*(-4)\/(-6). Suppose -c + y = -2*x, 0*c - c + x = -10. Calculate the lowest common multiple of t and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1794637 + 240247.\nAnswer: 240246.8205363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1195729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 475\/(-8550)*(-7)\/(-63)*12.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 17*z + 5020. List the prime factors of z.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - g = -3*v + 18, -71 = -5*v - 4*g. Let w(c) = -5*c - 3*c + c + 4*c. Let a(t) = -16*t - 1. What is v*w(j) - 2*a(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 20. Let g = 16 + -13. What is the remainder when y is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r - 2. Let x(h) = 9*h + 7. Let o(g) = 7*t(g) + 2*x(g). Let a(d) = 2*d**2. Determine o(a(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11816*l**2 + 6*l - 19. Let t(h) = -35448*h**2 - 16*h + 51. Calculate -8*q(y) - 3*t(y).\nAnswer: 11816*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + (-2*sqrt(2299)*-1 - sqrt(2299))**2.\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c - 1. Let x(n) = -13*n - 2. Suppose -2*m + 0*k = 2*k + 18, 2*m - 5*k - 10 = 0. Determine m*s(w) + 3*x(w).\nAnswer: -4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 3:52 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2, -0.4, -10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -115, -0.047, -0.238, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 3, -7881, 5, 28 in decreasing order.\nAnswer: 28, 5, 3, 2, -3, -7881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*a + 922 + 1752 + 3086 = 0 for a.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 1675924?\nAnswer: -16759240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 481*g + 3832. Calculate the remainder when r(-8) is divided by (261\/(-6))\/((-9)\/12).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -40, -187, -400, -667, -976, -1315, -1672, -2035?\n\"Answer: 2*o**3 - 45*o**2 - 26*o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65455*l - 64776*l + 29197 = 0 for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 754*f*s**3 - 22637*f*s**2 - 7173*f*s - 2*f - 5*s**2 - 552*s + 5 wrt s.\nAnswer: 4524*f*s - 45274*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.831 - -1.8. Let a = 12.269 - k. What is a rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b + 152. Determine j(-14).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 16. Let v be w(7). What is the highest common divisor of v and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10453096*g**2. Let f(z) = -111*z. Give f(a(q)).\nAnswer: -1160293656*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 22.8697 years?\nAnswer: 0.228697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 231, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, r: 2, o: 1, h: 1, k: 5}. What is prob of picking 2 r?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -4*x - 5234 + 5230, 5*p = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1896, 3786, 5678, 7572?\n\"Answer: j**2 + 1887*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, a: 2}. What is prob of sequence ca?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 170135*g**4*w + 43*g**4 - 28508014*g + 2*w wrt g.\nAnswer: 2041620*g**2*w + 516*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147980 is divided by 24662.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -542689*s**2 + 162*s + 459 wrt s?\nAnswer: -1085378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2. Let m(n) = 8*n - 1. Let t(c) = 47*c + 4. Let y(h) = -4*m(h) - t(h). Determine y(a(s)).\nAnswer: -79*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7661998 divided by -1763.\nAnswer: -4346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4 times -6420331?\nAnswer: -47510449.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2131 = -53. Suppose -578 = -2*z + a. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -424264526*l - 167048095 wrt l.\nAnswer: -424264526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3320 and 3349880?\nAnswer: 3349880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -831635472 - 2*p**2 + 831635472.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 168.0093 - 168. Round t to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 2*h - 1. Let a be o(3). Let y be (34\/85)\/(16\/600). Solve 5*x - 10 = 2*k, -a*k = 5*x + k + y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1797)\/(-15) - (-2)\/10. Let i = p - 64. What is the highest common divisor of i and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 19 = -2*c - 5*a, -3*c = -2*a + 4. Is ((-129)\/c)\/((-29)\/290) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + -5525230?\nAnswer: -5525214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*l + 1 = 0. Suppose -2*n + l - 3 = 0. Is n greater than or equal to -6\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1067 - 299 = 192*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 1300.22732.\nAnswer: 1305.22732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3638.183 rounded to 0 dps?\nAnswer: -3638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by -1?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15576 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 13 (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99048 and 424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**3\/c*c\/(c**(5\/3)*c))**(10\/11)\/(c**2*c**(-7)\/c)**(4\/7) assuming c is positive.\nAnswer: c**(1072\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -6*l - 25. Let b be (l + 46\/(-8))\/((-35)\/168). Solve 21*x = 15*x - b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2. Let c(x) be the second derivative of -x**6\/120 + 3*x**3\/2 - 6*x. Let s(r) be the second derivative of c(r). Determine s(p(l)).\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.23 from 1067.\nAnswer: 1066.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -84, -107, -132, -159, -188, -219?\n\"Answer: -i**2 - 20*i - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 17*l**2 + 34*l + 187. Determine d(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8849\/2 - 4424. What is the closest to -5 in -1\/7, 96\/11, y?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-35)\/(-140) + (-1455)\/9396 and 97\/126?\nAnswer: 10962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/1104 and 23\/24.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -51387 greater than or equal to -51387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(19) + -1 + 2 - (1*sqrt(19)*2 - sqrt(19))**2).\nAnswer: -13 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((-22)\/10 - (-1)\/5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 + 5664 + 2074 = -262*b for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukuuukukkkkuk. Give prob of picking 2 u and 2 k.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 52\/(-39)*(-63)\/12. Let p = 180 + s. Round p to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502257643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 13178*w - 342435. Give c(26).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 0 - (-2 + 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - y - 1. Suppose 0 = 7*b - 32 - 10. Suppose b*l - 1 - 47 = 0. Suppose 9*c = 5*c - l. What is g(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/7 + 171*t**2\/7 - 360*t + 336.\nAnswer: -3*(t - 28)**2*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-1) - 4\/(-2). Suppose -7*t = -v*t + 6. Let a be t\/(-4)*4\/6. Solve -d - 4 = -a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 193 - 193. Solve -3*b + 9 = -n*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 3*k**7\/1120 + k**6\/96 - k**5\/40 - k**4\/8 - 13*k**3\/3 - 1. Let i(g) be the third derivative of b(g). Factor i(o).\nAnswer: 3*(o - 1)*(o + 2)*(3*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-5)*15600\/1404)\/(((-35)\/(-84))\/1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9166?\nAnswer: 2, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*c - 29*c - 4*c**2 - 29*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18142997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 10:23 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 11:41 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105.959 + -0.041. Let k = 103.15 + z. What is k rounded to one dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3158254875 rounded to the nearest one hundred thousand?\nAnswer: -3158300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1981 = -104*t - 314*t + 527. Solve 10*d - 14*d - t = 3*f, -3*f - 6 = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 221*y + 5. Let m be t(-10). Let p = m + 8805. Round p to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*s + 22398, -222*s - 5*c = -220*s - 8965. Is s a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, h: 1, e: 3, x: 5, l: 1}. What is prob of picking 4 x?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (244229\/849)\/((-1)\/3*1). Is c < -865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -14*d**3 + 6*d**2 - 6*d + 11. Let i(s) = -5*s**3 + 2*s**2 - 2*s + 4. Let w be (-3)\/(-3)*(4 + -1 - 7). Calculate w*x(b) + 11*i(b).\nAnswer: b**3 - 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 + 12*r**2 - 13*r**2 + 3*r - 4*r**4 + 2*r**3 as c*r**4 + s + n*r**2 + j*r**3 + t*r and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 minus 0.03318?\nAnswer: -90.03318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 5*x - 15, -3*k + 1058*x - 27 = 1055*x for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -57, -89, -137, -201?\n\"Answer: -8*n**2 - 8*n - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13461 + -11493. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 - 600*u**3 - 5636*u**2 - 5040*u.\nAnswer: -4*u*(u + 1)*(u + 9)*(u + 140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 12:34 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 512 - 512.2. What is the nearest to -1 in -3, 0, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 6*x + 5. Let c be q(-6). Suppose -i + 0 + c = 0. Factor i*o**5 - 15*o**3 - 13*o**5 - o**2 + 2*o - 6*o**4 - 13*o**4 + o**5.\nAnswer: -o*(o + 1)**3*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - -111?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**2 - 80*g + 316. Let w(b) = 9*b**2 + 8*b + 143 + 171 - 4*b**2 - 88*b. Let c(r) = 3*a(r) - 2*w(r). Determine t so that c(t) = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n. Let a(k) = -1. Let v be 12\/7 - 12\/(-42). Let l(g) = -5 - g + 2*g + v. Let q(s) = -3*a(s) + l(s). Calculate b(q(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6283012.\nAnswer: 2, 1570753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 17, 0.5, 6\/11, -3, 9\/20 in decreasing order.\nAnswer: 17, 6\/11, 0.5, 9\/20, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2072544 + 9325 = 16*v + 455597. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 9*s - 24. Let j be a(11). Let m(y) = 7*y**2 - 3*y - 1. What is m(j)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*s - 2*b, s = 2*b + 2 + 1. Suppose -2*p + r + 149 = 0, r = -s*p + 2*p + 355. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 268, 589, 1020, 1549?\nAnswer: 2164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 9:31 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -42. Let v(o) = -o**3 + 13*o**2 - 31*o + 13. Let y be v(u). Let q(n) = n**3 - 3*n**2 - n - 4. Calculate q(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44747369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(1*2\/(-1))\/8. Suppose s = -4*a + 5*o + 16589, 0 = -3*a - 3*o - 2*o + 12398. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 10*n - 10. Let c be b(6). Let p(x) = 14*x - 6. Let r be p(c). Let j = r + -41. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 940 and 6016?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - 2\/(-1) - -2. Let o be ((-2)\/3)\/((-4)\/(-6)). Let v be (-11)\/(88\/(-112)) + -9. Put v, n, o in decreasing order.\nAnswer: v, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75585614243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/11, 150, -1000?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.90701 millennia in years?\nAnswer: 25907.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 2 - -7)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-78) - (-1561)\/91. Solve 15*y = -x - 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 5. Let a(p) = p**3 + 6*p**2 - 1. Let c be a(x). Sort 5, 2, c in increasing order.\nAnswer: c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 78?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*v**3 + v**3 - 12*v**3 - v**3 - 2*v**3 + 4*v**3 + (-2*v - 3*v + 4*v)*(v**2 + 2*v - 2*v) - 6*v**3 + 3*v**3 + v**3.\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1675 is divided by 277.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27*(-3)\/(-15) - 1386\/3465.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**3 + 161 + 153 - 314 - 11*m**2 - 2*m to c*m**3 + y + o*m**2 + v*m and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 215 - 154. What is the common denominator of 3 + m\/2 - -2 and ((-34)\/(-16) - 2)*-89?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -13079874.386 to the nearest one thousand.\nAnswer: -13080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -847\/9 + 94. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -25*n. Let x(r) = r**2 - 2*r - 11. Let l be x(5). Let a(p) = -475*p. Let w(b) = l*a(b) - 75*j(b). Let g(q) = 2*q - 1589 + 1589. Give g(w(d)).\nAnswer: -50*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 - 58. Suppose -4*a - 98 = 3*a. Let n = -9 - a. Let r(k) = -k**3 + 7*k - 3. Let o(s) = s - 1. Determine c*r(y) + n*o(y).\nAnswer: y**3 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.284720961*-0.4\nAnswer: 0.1138883844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**4\/11 - 148*p**3\/11 - 22320*p**2\/11 - 509184*p\/11 = 0.\nAnswer: -48, -34, 0, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 4 = 43*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250456.\nAnswer: 2, 156307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1986442.\nAnswer: -3972884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 49*o**2 - 1. Let q(h) be the second derivative of -7*h**3\/6 - 319*h. What is q(s(z))?\nAnswer: -343*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14286?\nAnswer: 2, 3, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yigikljg. Give prob of sequence gkg.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6274*c*f**3*l**2 - 2*c*f**3*l + 2*c*f**2*l**2 - 4*c*f**2*l - 846*c*f*l - 8*f**3 + 52*f**2*l**2 - 2*f*l**2 wrt f?\nAnswer: 37644*c*l**2 - 12*c*l - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16800668449 + 0\nAnswer: -16800668449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j**2 + 26*j - 16. Let r(s) = -2*s**2 + 9*s - 5. Let t = 13572 + -13577. Give t*x(d) + 16*r(d).\nAnswer: -2*d**2 + 14*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -18 + 2*869\/99. What is the closest to -1 in -5, c, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k - 4. Let m(q) = 9*q - 6. Determine 7*c(a) - 3*m(a).\nAnswer: a - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 4*c + 3. Let o be l(-2). Let j be 3\/6*22 + o. What is the units digit of -3 + 5\/(j\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -523 or -3145\/6?\nAnswer: -523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(35) - sqrt(35)*3) + sqrt(35))*6)\/(1*sqrt(343))*-5.\nAnswer: 30*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707 + 1064 + 439 = 61*y + 258 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l. Let f = -6343 + 6345. Let y be 6 - (-1)\/(-1 - 0). Let q(h) = 10*h - 2*h + y*h + f*h. Determine q(u(t)).\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 378916 or 378913?\nAnswer: 378913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**3 - 6*w**2 - 48*w + 10. Let p(k) = k**3 - 2*k**2 - 16*k + 3. Give 2*i(t) - 7*p(t).\nAnswer: t**3 + 2*t**2 + 16*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-10)*-25*(-106)\/(-5) is divided by 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a - a**2)*(0 - 2 + 1).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*l - 155929 = 4*l + 604337. Is l a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13257012 (base 8) to base 10.\nAnswer: -2973194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08663979876 - 4.\nAnswer: -3.91336020124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 - 100 = -43*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n + 12 - 8 - 27*n**2 - 17*n**2. Let c be t(2). Let l be (c\/(-54))\/(4\/6). Solve 0 = -l*z, 0 = -h - 3*z + 7*z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -3. Suppose 4*i = -3*d + 297, -3*d + 338 = 3*i + 113. Calculate the highest common factor of b and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**7\/210 + 5*m**6 - 1500*m**5 + 8*m**2 + 75. Factor w(h).\nAnswer: -h**2*(h - 300)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (18 - 14) - -131) + (51 - 29)?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-1\/6))*j**(1\/8)\/j*j)\/(j**(-10)*j**(-13\/4)))**(-7\/8) assuming j is positive.\nAnswer: j**(-2219\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*f + 344, 5*f - t = 252 + 178. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 56 = -0*m. Let d(t) = 2*t**2 + 7*t + 11. List the prime factors of d(m).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -123, -116, -107?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/13593 + 58895\/54372. Let b(m) be the third derivative of 0*m - 30*m**2 + 0 - k*m**4 - 16\/3*m**3. What is the first derivative of b(d) wrt d?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.353\nAnswer: 0.0353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/7 + 99316\/196.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(-26))\/w*w)\/w)\/(w\/w**42))\/(w**(-41)*(w*w**(-2\/49))\/w) assuming w is positive.\nAnswer: w**(5294\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4005 = 12*n - 7755. Let j = n + -692. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -34*x + 24. Let h(l) = 68*l - 47. Let b(s) = 5*f(s) + 3*h(s). Let i be b(15). Let a = 908 - i. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 717, 718, 719, 720?\n\"Answer: m + 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3722324243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 14*q**3 + 5*q**2 - q + 1. Let n(f) = -f**2 + f - 1. Suppose 6*u - 8 = -2*u. Let b(d) = u*c(d) + 6*n(d). Is b(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ba3110 - -1d?\nAnswer: ba312d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121958, 122036, 122114, 122192, 122270?\nAnswer: 122348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12310 divided by 10.\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v**2 - 3*v + 2. Let c(n) = -n**2 + n - 1. Calculate -5*c(f) - k(f).\nAnswer: -2*f**2 - 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 32. Let c be 79\/q - 12\/36. Let s = -18 + c. What is the third smallest value in 5, s, 2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -41*b**4\/24 + 47*b**3 + 19*b**2 + 6*b. Find the first derivative of h(v) wrt v.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 172. Let j(x) = -x**2 - 30. What is j(o(t))?\nAnswer: -t**4 - 344*t**2 - 29614","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msmmqisiiismsssimi. Give prob of picking 2 m.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2 - 6, 20 = 3*d + 2*s. Suppose -g = -4*g + h + 27, d*g - 46 = -2*h. Solve g*o + 25 = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00070694 rounded to 6 decimal places?\nAnswer: 0.000707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.5 - 0.007.\nAnswer: -5.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*(5 + sqrt(132)\/sqrt(3))**2.\nAnswer: 120*sqrt(11) + 414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447.76 meters in kilometers?\nAnswer: 1.44776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlzzzznloznnzollzlz. Give prob of picking 2 o and 2 l.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 11705893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/547, -5\/2, 2\/13, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 9:25 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 366.39 - 1.39. Let a = 374 - j. Sort -3, a, -5, -0.3 in decreasing order.\nAnswer: a, -0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184154\/6 + (-160)\/120 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(-13 - 684\/(-54)). Solve 5*j = 4*t + 29, -b*t - 3*j - 22 = -7*j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1342*a**4 + 2005*a**2.\nAnswer: 32208*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f + 1. Let p be q(1). What is the derivative of -7 + 26 - 15 + p*o**3 wrt o?\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2286, -3436, -4572, -5688, -6778, -7836, -8856, -9832?\nAnswer: -10758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by ((-2)\/8)\/(23\/(-6992)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4142313 - -32?\nAnswer: 4142400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 7, j: 1, u: 1, d: 5, h: 2}. What is prob of sequence dua?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (318*z + 905*z - 73*z - 1)*(-4*z + 4*z - 2*z) + (-3*z - 4*z + 5*z + (-5*z + 3*z + 3*z)*(-2 - 4 + 5) + 2 - 2*z - 2)*(-2 + 4 - 5)*(2*z + 2*z - 2*z).\nAnswer: -2270*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 18 = -3*q + p, -2*q = 4*p - 12. What is the greatest common divisor of 114 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 2*f**2 + 9. Let k(s) be the first derivative of s**2\/2 + 5. Determine w(k(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/324 and 137\/3402.\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17760006?\nAnswer: 2, 3, 11, 29, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11683, 11681, 11677, 11671, 11663?\nAnswer: 11653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**3\/4 + 11*q**2\/4 - 8*q + 7 = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5543 + -155520?\nAnswer: -145533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-2\/27)*w)*w\/((w\/w**(-7))\/w))\/(((w\/w**(4\/7))\/w)\/w**1))\/((w\/((w*w**(-2))\/w*w))\/(w*w**(-1)))**(-3\/20) assuming w is positive.\nAnswer: w**(-7663\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243361*b = -243152*b - 3553 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1 + 0 - 2 + 1 + (0 + 4 - 2)*(-1 + 0 + 0) - 4 - 3 + 3 - 2 + 1 + 3)*(-2 + 2 + 1)*(-2*s + 4 - 1 - 4).\nAnswer: 14*s + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-123 - -53) - (-9 - (2 - 1 - 0))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/21 (b) 0.2 (c) -7 (d) -58 (e) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4)\/(1*(-2 + 1)). Let x be ((-3)\/(-8))\/((-9)\/(-6)). Suppose -k*d + 1\/4*d**2 + x = 0. What is d?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1166*f - 12*f - 2945*f.\nAnswer: -4123*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 102424658957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147734 - 147734 + 786*h.\nAnswer: 786*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-24\/11)*h*(h\/h**(-30)*h)\/h*h**(9\/5)*h**45 assuming h is positive.\nAnswer: h**(4269\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 + 159. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1860 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 4*p**2 - 2*p - 3. Let r be x(3). Let u be 714\/153 - (-2 + 10\/6). Solve r*n + n = -u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -15. Which is the second smallest value? (a) 2\/15 (b) n (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78506054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119649 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4a - 21?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 836*q**2 - 226*q - 2 wrt q?\nAnswer: 1672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-11 + 7 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 4*q + 1. Give v(6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3680.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2979, 5924, 8799, 11568, 14195, 16644?\nAnswer: 18879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7518758 to the nearest integer?\nAnswer: 2742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from ddeddeeddddddddddd?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 9*n**2 + 8*n - 2. Calculate the lowest common multiple of 10 and k(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716859337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 1.8. Is 1.5 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*x = -6, 4*b + 0*x = -4*x. Let p be (-24)\/32 - (-11)\/4. Let u(j) = j**2 - 462*j + 2*j**p + 463*j. What is u(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**3 - 2*d**4 - 2*d**2 + d**4 - d**2 - d**4 - 5*d in the form q + i*d**3 + h*d**2 + w*d + b*d**4 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-17) - 56790\/(-85). Does 14 divide 1\/4 - u\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 5*x**2 + 4*x + 12. Let z be c(6). Suppose a - 4*r - 53 = z, -3 = r - 1. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from {n: 2, a: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 r when three letters picked without replacement from xxjlxrrrrlxblb.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, s: 4}. What is prob of sequence sss?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 4361264?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -12*a + 99. Let z be t(8). Let n = 4 + 1. Let q be n\/(4*3\/24). Solve 4 = z*h + q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 - 4*l**5 + 5*l**5 + (l**3 + 0*l**3 + l**3)*(-3*l**2 - l**2 + 2*l**2) + (2*l**4 + 0*l**4 - 4*l**4)*(l - l - 9*l).\nAnswer: 13*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - i**2 - i + 2. Let q be (-30)\/(-4) + (-10 - 147\/(-14)). Suppose 6*z = 10*z + q. Calculate a(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19718 or -19717?\nAnswer: -19717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1319? (a) 0.9 (b) 0.8 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 242408 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 5*n + 5. Let d be j(-4). Let r(y) = 2*y - 15. Let m be r(5). Let s = d - m. 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: Simplify (-2 + sqrt(68) + 1)**2 + -1 + sqrt(612) + 2.\nAnswer: 2*sqrt(17) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26431274*t**4 + 1179960*t**2 wrt t.\nAnswer: 634350576*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*p = 8. Calculate the lowest common multiple of p and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0023 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2288\/(-24))\/(46\/(-4416)*176).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 46 + 459. Let f = i + 204. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4822 + -56 + (-3 + 4)*-8.\nAnswer: 2, 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 = 3. Let j be ((-3)\/d)\/((-147)\/(-56)). What is the closest to -1\/4 in j, 1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25213.\nAnswer: 19, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-75)*35 + -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(209)\/((-1*sqrt(99))\/sqrt(9)) - (2*sqrt(57)*2)\/sqrt(3)) + 4.\nAnswer: -5*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-384)*16 - (-19 + 19) - (-1460)\/(-16).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (3 + 8) - 11.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/5))**(-2\/23)\/(f*f*f**(-2)*f\/(f*f**(-2\/5)*f)))**(1\/8))**(-47) assuming f is positive.\nAnswer: f**(-3431\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5376385 centuries in decades?\nAnswer: 5.376385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 133750227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 66 - 19 - 9 + 3 - 2 + (-3 - 1 + 7)*(4 + 0 - 2))*(0*z - z**2 + 0*z) as p*z + v*z**2 + u and give v.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and -4?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.257 and -0.5.\nAnswer: 1.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*j - 67, -5*j + 125 = 2*f - 4*f. Let k = f - -213. Let s = 401 - k. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9681\/5 - 1936. What is the nearest to x in -0.91, -3, -5?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -23. Calculate the common denominator of 38\/5 and ((-2)\/70)\/(k\/1030).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -2\/3, 0.04, -3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3111514 * 3.\nAnswer: -9334542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354416.\nAnswer: 2, 17, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9823967 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-2\/9)*(((o\/o**(4\/5))\/o)\/o)\/o*(o\/o**(-1))**(-5\/4))**2)**(8\/13) assuming o is positive.\nAnswer: o**(-2216\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -28 (b) 1\/3 (c) 15.07 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479863 < 2479860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 53, 114, 203, 326, 489, 698?\nAnswer: 959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 18305.44 years?\nAnswer: 183.0544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -20. Let i(y) = -3*y**3 - 3*y**2 - 3*y - 3. Let u be i(x). Let w = u + -12. Which is the third smallest value? (a) 2\/7 (b) w (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssgftgj. What is prob of sequence ts?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -9. Suppose t = -w*t + 30. Calculate the greatest common divisor of t and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3 + 0 = -3*x, -2*d - 2*x = 16 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymnv when four letters picked without replacement from vynullm?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (257301\/(-1980) - -130) + 238\/40.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**2 + 19*n - 6. Let f(q) = 4*q**2 - 18*q + 6. Let o(h) = 6*f(h) + 5*i(h). Is 17 a factor of o(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 1102332*s + 46292652.\nAnswer: 3*(s + 42)*(s + 367402)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 230702 divided by 7442?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x + 6*x**2 + 25 - 25 - x**3. Let o(c) = 3*c**3 - 17*c**2 + 17*c. Calculate -6*o(q) - 17*v(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*(sqrt(245) + 1) - (-5 + sqrt(245)*2)) + (((sqrt(245) + 1)*-5)**2 - (0 + sqrt(245) + sqrt(245) + 0))).\nAnswer: 1848*sqrt(5) + 36918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5*u + 29 = 0, 5*u - 45 = -174*l + 169*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 61.01408cm?\nAnswer: 610140.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 0*h + 7*h)*(5 - 3 - 4)*(-2 + 1 + 2)*(0*h - h + 4*h).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(3)*1)**2 - sqrt(18)\/sqrt(6)*4)*5 + 1 + (sqrt(30) + (sqrt(30) - -1*sqrt(90)\/sqrt(3)))\/(6*(sqrt(10) + sqrt(10) + sqrt(20)\/sqrt(2))).\nAnswer: -119*sqrt(3)\/6 + 541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 5, -3*h = -0*h - 4*x - 46. Suppose 0 = -15*j + 18*j + 4*f - h, 5*f = 25. Sort -5, -7, j in descending order.\nAnswer: j, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -672465 or -7397128\/11?\nAnswer: -672465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 9\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4272886089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 10044*s**3 - 3798288*s**2 - 22505367*s - 40320 = 0?\nAnswer: -35\/6, -1\/558, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - -18) + -9 + (0 - 19)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*b - 37 - 19, 0 = -b + 3*k - 17. Let q(s) = 2*s + 44. Let g be q(b). Factor 27*r**3 - 25*r**g + 29*r**4 + 7*r**5 - 13*r**2 - 27*r**4 + 2*r.\nAnswer: r*(r - 1)**3*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -971088, -971109, -971132, -971157, -971184, -971213?\nAnswer: -971244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i**(-1\/18)\/i*i)\/i**(-2\/17))\/(i**(-24)\/(i\/i**28)) assuming i is positive.\nAnswer: i**(19\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*h - 5, -3*h = 3*m + h + 8. Calculate the remainder when (-38)\/((-182)\/28 + -1 + 7) is divided by 33 - (2 - m) - -4.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/5)\/6*-4 - -1)*268\/(-335)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -27163 in decreasing order.\nAnswer: -1, -2, -27163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q + 17481 - 17515 = 0. Find j, given that -5\/4 + 7\/2*j + 3\/4*j**q = 0.\nAnswer: -5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 8:10 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119949 is divided by 695?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1604 + -491. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*o**4 - 34980*o**3 - 233736*o**2 - 170224*o - 32928 = 0.\nAnswer: -343, -6, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3969 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 120641080 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/15)\/(6\/(-1872)). Calculate the greatest common factor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.31 - 2.31. Let j = -2.1611 - -2.0611. What is the biggest value in 23, j, u?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 >= -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370096 is divided by 1095.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -16, -31, -60, -109, -184, -291?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-208)\/(-48))\/(1\/(6*2\/4))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10044253 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + -2*sqrt(72).\nAnswer: -12*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.1 and -1929725467?\nAnswer: 1929725465.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -11*o**5\/5 + 332*o**3\/3 - 3*o**2 + 94. Differentiate g(z) wrt z.\nAnswer: -264*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43526707 or -43526706?\nAnswer: -43526707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 8:59 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**3 + 3500*m**2 + 27740*m + 41520 = 0.\nAnswer: -692, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34570.63 millennia to decades.\nAnswer: 3457063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -54811 divided by 251\nAnswer: -54811\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 623, 1246, 1871, 2498, 3127?\n\"Answer: h**2 + 620*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyc. Give prob of sequence cw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2040*d - 108 = 2036*d - 13*z, 4*d - 4*z - 40 = 0 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 12:13 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18825 + -18825.3. Which is the closest to 8\/29? (a) -3\/7 (b) 3\/4 (c) 0.5 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 125, 116, 83, 14?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 42, -3, 4 in ascending order.\nAnswer: -3, -2, 4, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a century?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -402 by -5592.\nAnswer: 67\/932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*x**3 + 2 - 6*x + 30*x**2 + x - 21*x**2 - 6*x - 12*x**3 in the form t*x + d*x**3 + i*x**2 + q and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = i - 21, -y + 20 = 5*i - 63. Suppose -17 = -3*q - 2. Calculate the remainder when i is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*g**2 + g**3 - 21*g + 20*g - 2 + 78*g**2 to y*g + c*g**3 + a*g**2 + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9673.51 weeks to days.\nAnswer: 67714.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 851493104 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4987 is divided by 2361?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3453 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19992.52 - 20786. What is p rounded to the nearest 10?\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**4 + 48*k**3 + 52*k**2 = 0 for k.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3738468 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a495 (base 12) to base 4.\nAnswer: -10120301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -54236*s + 54411. What is h(1)?\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(304)*-2 + sqrt(304).\nAnswer: -4*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 + 0*c**3 - c**3 + (-2*c**3 - 2*c**3 + 2*c**3)*(-4 + 0 + 2) + 10*c**3 + 107*c - 107*c + 5*c - 5*c - c**3 + (0*c**3 + c**3 - 3*c**3)*(3 + 0 - 2).\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450496848 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/7, 90, 5, -2\/5, 37?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 3 + 27 = 0. Let s be -3*-12*4\/(-48). Put n, -1, s, 8 in descending order.\nAnswer: 8, n, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -16.\nAnswer: -21\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 597715 + 597715.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 4, -3 in decreasing order.\nAnswer: 5, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(23 - (-1841)\/(-77)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4*1098\nAnswer: -4392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -1 - (6 - 3). Let u be -5*(t - (-1)\/1). Calculate the greatest common divisor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72117?\nAnswer: 3, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3290, -3309, -3346, -3407, -3498, -3625, -3794, -4011?\nAnswer: -4282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2800 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96*v - 158*v + 41*v + (3 - 3 - v)*(-1 - 3 - 2) to t*v + l and give t.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48358 is divided by 4045.\nAnswer: 3863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287167?\nAnswer: 287167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1945058055?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 35*b**3 - 16*b**2 + 7*b - 1. Let g(r) = -23*r**3 + 11*r**2 - 5*r + 1. Determine -5*d(v) - 7*g(v).\nAnswer: -14*v**3 + 3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 8 - (74 + 2 + 89 + -101 + 17)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*m + 1, 0*m + 10 = 4*m + s. Suppose -2*a + m = -7. Suppose -4*g = 5*t - a, -4*g - 6*t + 2*t = 0. Put 2, g, 3 in descending order.\nAnswer: 3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -327.05552689 take away 38?\nAnswer: -365.05552689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18196 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -171496 and -15?\nAnswer: 171481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0181 + 0.3181. What is the closest to -0.2 in -1, -0.4, o, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2450056017 and 11391?\nAnswer: 11391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18752295.\nAnswer: 3, 5, 47, 67, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.27 + 11.27. Suppose 0*d = -2*b + 3*d + 39, -5*b + 2*d = -92. Let j be (-34)\/12 - 3\/b. Sort h, 4\/5, j in ascending order.\nAnswer: j, 4\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 4*j + 656. Calculate n(26).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62364 + 106812. Let n be (-2)\/(-2) + 482940\/k. Let z = -9\/926 - n. What is the common denominator of z and -71\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 - -0.03. Let j = g + -0.46. Let y(m) = -3*m + 33. Let s be y(12). Which is the nearest to 0? (a) j (b) 3\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 151.\nAnswer: -5\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19440539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 39 = -q, 5*t - 3*t - 84 = -4*q. Suppose 4*a + 28 - t = 0. What is the third smallest value in 3, a, -1, 2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - 3\/1)\/(12\/6309). Let c = a - 2104. Let z = -119\/3 + 40. Put c, z, 2, -0.4 in increasing order.\nAnswer: c, -0.4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9211454 is divided by 210.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4027.26 rounded to the nearest one hundred?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279845 is divided by 279842.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*z + 32 = 0, -z = v + v - 22. Calculate the highest common factor of 26 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 28.1330619979998 and 0.4.\nAnswer: 28.5330619979998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3401317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**3\/4 + 3*r**2\/4 - 15*r\/2 + 6 = 0. Calculate r.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 275\/(-5)*(-4)\/(-50). Let k = -21\/5 - n. Factor -2\/5*x + k + 1\/5*x**2.\nAnswer: (x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (-10 - (2 - 11 - (3 + -13)))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -83*r**3\/2 + 259*r**2 + r + 290. What is the derivative of k(v) wrt v?\nAnswer: -249","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 2. Let t be g(-6). Suppose -d + t = 3. What is the tens digit of 9 - -1*(d - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10711387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4466*d**2 + 40205*d - 114. Determine b(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 + -47. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a day in seconds?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 15*s**2 - 6*s - 55. Let a(f) = 14*f**2 + 3*f + 4. What is the remainder when a(3) is divided by q(-15)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7865.252 tonnes to kilograms.\nAnswer: 7865252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 3502468*g + 3502472.\nAnswer: -4*(g - 875618)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7*d*d**(-3\/4))**(-4\/31)\/(d\/(d**(-4)*d)*d**(-7)*d**2*d**(-3\/5)) assuming d is positive.\nAnswer: d**(103\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*l = -46 - 85, 5*h + 661 = -4*l. Let p be 1 + -4 + h\/(-38). Which is the second biggest value? (a) -14 (b) 0.05 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111291110, 222582221, 333873332, 445164443, 556455554?\nAnswer: 667746665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8)*(46 + -45). Which is the closest to u? (a) -6 (b) 1 (c) -5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + -8 - (-78 - (-25 - (-11 - -1)))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*k**4 + 1275*k**3 + 40315*k**2 - 21120*k - 20480 = 0. What is k?\nAnswer: -64, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 14*k + 27. Suppose -4*m + k = -3*y + 2*y, 0 = -3*y + 3. Solve 5*b + 4 = m*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*u - 0*u - y, -4 = u - y. Let i be u\/(4064\/4)*-4. Let j = 0.3 + -1.3. Is j bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105 - ((0 - 11) + (-1745 - -1787))\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -42\/2503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**4\/12 + 2*r**3\/3 + r**2 + r. Let n be w(3). Let d(z) = z - 9. Determine d(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12762093 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/32 and -47\/24833280?\nAnswer: 24833280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 29*b**2 + 97*b + 1157. What is k(-27)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5529, -5526, -5521, -5514, -5505, -5494, -5481?\nAnswer: -5466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 838*s**6 - s**5 + 26*s**4 - s**2 + 9476*s - 2?\nAnswer: 100560*s**3 - 60*s**2 + 624*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 34*w**3 - 16*w**2 + 10*w - 5. Let f(i) = 17*i**3 - 9*i**2 + 4*i - 2. Determine 5*f(b) - 2*y(b).\nAnswer: 17*b**3 - 13*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 31*w**2 + 27*w + 356. Calculate h(32).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a = -2*a - 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24512*l**3*o**3 - 13*l**3*o**2*v**2 - 3*l*o**2*v**2 - o**3*v**3 + 3*o**2 + 3*o*v - 33*v**3 wrt o?\nAnswer: -147072*l**3 - 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 179385*b**2 - 176811*b**2 + 2 - 2 as t + m*b**2 + p*b and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 3324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 121206067, 242412137, 363618207, 484824277?\n\"Answer: 121206070*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(13) - (sqrt(325) + -1)) + sqrt(13))*6 + sqrt(143)\/(sqrt(275)*-5)).\nAnswer: -12 + 902*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000022426 to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16596839 is divided by 85?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**6\/120 + 7*q**5\/30 + 13*q**4\/24 + 2*q**3\/3 - 1857*q**2. Suppose 4*s + 48 = -4. Does 4 divide o(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-186)\/279 - (-34)\/6. Which is the third smallest value? (a) -2\/7 (b) -233 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2 - 3. Let i(q) = 5583*q**3 - 5583*q**2 - 5583. What is -1861*c(d) + i(d)?\nAnswer: 5583*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*c - 105 = -5*v, -5*c + 101 = v. What is the remainder when 44 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1019250 and 567.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -412, -823, -1234, -1645?\n\"Answer: -411*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 15*i + 8. Suppose 161 = 5*v + 16. What is the remainder when u(7) is divided by v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 3*m + 1. Suppose 6 - 16 = -2*u. Suppose -a - 9 = -2*b + 6*b, 5*b + u*a + 30 = 0. Let n(z) = -z**2 + 3*z + 2. Let k be n(b). What is j(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56374 minus 32?\nAnswer: -56406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 - 8*x + 6. Let t be r(-3). Calculate the highest common divisor of 228 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194753 to the power of 1\/2, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 2:08 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-95)\/8*6\/(-265) and (-44)\/726 + (-22288)\/1056.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a kilogram in grams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184 - 189. Let o = 1.6 + -5.6. Which is the third biggest value? (a) -2\/9 (b) l (c) -0.4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 6*h**2 - 8*h - 6. Let o(q) = -27*q - 74. Let t be o(-10). Let l = 189 - t. Give j(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/9 - 248*k**2\/9 + 7930*k\/9 - 14884\/9.\nAnswer: 2*(k - 61)**2*(k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 3*p**2 + 29*p**3 - 2 + 1216*p - 1212*p + 2 to the form l*p**3 + g*p + m + i*p**2 and give l.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11842 + -11827. Solve -17 = -16*q + o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -18*m - 15. Determine l(-5).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (-13 - -18 - -15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -14*o**3 + 3*o**2 - 3*o + 8. Let q(z) = z**3 - z**2 + z - 1. Let n(c) = 6*q(c) + x(c). Is 14 a factor of n(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 13 + 42. Let a = d + 15. Let v = -3593 + 3595. Solve -a*z = -v - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 0*d + 4*d + 12, -k = -5*d - 15. Suppose 2*r = -3*b - 36, 0 = -k*r + 4*r. Let t = -7 - b. Solve -5*p + 11 = -u, -4*p + t*u = -14 + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -482 + 484. Suppose 2*m + y*m + 0*m = 0. Which is smaller: m or -0.065?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 84*m**2 - 3*m - 3. Let l(c) = -83*c**2 + 4*c + 1. Let y(u) = -4*l(u) - 5*n(u). What is the second derivative of y(k) wrt k?\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13027398?\nAnswer: 2, 3, 373, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1916?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + 22 - (60 + -13 + -37)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 83?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 0 + 55\/3*h**3 - 2*h - 19*h**2 + 0*h**4 + 31\/20*h**6 + 0*h**5. Differentiate f(w) with respect to w.\nAnswer: 558*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3451\/1015*4*5\/4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3, 0.1, -0.06, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*z - 12*z**2 + 8 - 5 - 47*z - 3 to the form u*z**2 + q + j*z and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.134 and 5.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -2 (b) 0.2 (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 297709 plus 7?\nAnswer: 297716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3202423203 - -3?\nAnswer: -3202423200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -140 - 322. Let u be (-1119)\/(-15) + (-4)\/(-10). Suppose 0 = o - 6*o + u. What is the remainder when c is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*m**3*r**2 + 4*m**3 - 2*m**2*r + 2*m**2 + 4512*m*r**3 + 30*m*r wrt r?\nAnswer: 12*m**3 + 27072*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*i + 12, -1248*i + 14 = -u - 1250*i. Find x, given that -6\/7*x**3 + 6\/7*x - 2\/7*x**4 + 4\/7 - 2\/7*x**u = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -189 - -201. Let l be z\/(-8)*4\/(-6)*825. What is the greatest common divisor of 50 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 136726228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42563 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 - 75. Let p be -3 + -3 + 4 + 2. Suppose p = 4*m - 70 - y. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (4 - 4) + 2 + 0 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 192201 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -3. Let d(v) = 2*v**3 + v**2 - 5 - 3*v**3 + b*v**2 + 2*v. What are the prime factors of d(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149\/660 + -4\/165. Let m be (-1 - 0)*(5 + 240\/(-5)). Which is the closest to m? (a) 0.4 (b) -1\/7 (c) 2\/3 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 700069581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 806622484 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4991?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10889*t**2 + 22602 wrt t.\nAnswer: 21778*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + 2*sqrt(72) - (sqrt(72) + -1*(-2 + sqrt(72))))*-3)**2.\nAnswer: 1728*sqrt(2) + 10512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31356 (base 8) in base 5?\nAnswer: 404123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v = 24. Let d be (-8)\/(-6) - (-4)\/v. Let g be 22\/(-6) + d\/3. What is the biggest value in 0.4, g, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36192*c - 36192*c + 2 - 127*c**2.\nAnswer: -127*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*u + u. Let n be 21\/28 - 9\/(-12). Which is smaller: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294692 is divided by 5667?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 36393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -1, -5, -2, -49 in decreasing order.\nAnswer: -1, -2, -5, -29, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 6:35 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4441400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in -3, 2\/9, -1, 1, 383\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1396403 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhj when three letters picked without replacement from {h: 1, j: 4, m: 6}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 6 - -13 - (74 + -93).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2468155.\nAnswer: 5, 401, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 + 8*q + q - 6*q.\nAnswer: 3*q - 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 47*k**2 - 1. Let y(z) be the third derivative of 0*z**3 + 0*z**4 + 0*z + 0 + 28*z**2 + 1\/60*z**5. Calculate o(y(s)).\nAnswer: 47*s**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 - 5*m**2 + 7*m**2 + 17*m in the form b + s*m**2 + h*m and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -3)*-2*4\/12. Suppose h*l = 2*i + 32, l + i - 44 = -l. Calculate the remainder when l is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5 = -25. Is (-3421)\/(-44) + m\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107.9 + 179.8. Let s = w - 87. Let p = s + 15. Sort 1\/4, p, -0.7 in ascending order.\nAnswer: -0.7, p, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3 - h**3 + 0*h**2 + h**2 + 20 + 8. Does 29 divide j(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 169 = -3. Suppose 3*i = -3*f + 261, -29 = i + 2*f - 112. Let l = a + i. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2794*o**2. Let x(s) = 20*s - 1. Give r(x(k)).\nAnswer: 1117600*k**2 - 111760*k + 2794","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59903 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 713*m**2 - 2*m - 710*m**2 + 2*m**3 - 11 + 0*m to i*m + a*m**2 + b*m**3 + w and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-330)\/(-4)*(-232)\/(-319) + 17\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.4 + 5. Let j = -32419\/279 + -3397\/31. Let h = j - -226. What is the smallest value in t, 0.5, h, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(3) + 1 + (2*5*sqrt(27) - sqrt(27))\/sqrt(9))**2.\nAnswer: -40*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.80002357 + 32.8. What is f rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*y - 25 = -3*w, -4*y + 5 = -3*w. Let f = -148 - -261. Let d = -111 + f. Sort 15, y, d in descending order.\nAnswer: 15, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -2. Let i(h) = -h**3 - h**2 + 6*h + 3. Let s(z) = -z**3 - z**2 + z. Let d(v) = -i(v) + 2*s(v). Give d(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35\/2 - 16. Suppose 3*x = -x - 96. Let p be ((-3)\/(-2))\/((-18)\/x). Which is the third smallest value? (a) p (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((((sqrt(400)\/sqrt(8)*4 - sqrt(50)) + sqrt(50))*4)\/(sqrt(90)*-5 - (sqrt(30)\/sqrt(3) - sqrt(10))*6) + 5).\nAnswer: -16*sqrt(5)\/15 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/12 + 109*q\/6 + 36 = 0. Calculate q.\nAnswer: -216, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 49\/14 - 1\/2. Is (-112)\/(-3) + (-1)\/i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 0*y**2 - y**2)*((1 - 3 + 4)*(6 - 3 + 0)*(206*y + 28633 - 28633) - 4*y - y + y + (3*y - 6*y + y)*(-3 + 3 + 2) - 3 + 3 + y).\nAnswer: -2458*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 19 = -23. Suppose -3*h - 4 = -4*h + 3*g, 3*g = -3*h. Put n, 12, h in increasing order.\nAnswer: h, n, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499 is divided by 191.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6*m**2 + 15*m - 28. Let w be j(4). Which is greater: -2\/11 or w?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5237000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -243 + 307. What is the greatest common divisor of l and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39947771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -5985\/4 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10380 and 2076?\nAnswer: 10380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opo when three letters picked without replacement from piiioopoipio?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 55598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2*w - 9*w)*(1 + 2 + 2)*(0*w**2 - 2*w**2 - w**2).\nAnswer: 195*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4*a + 91885, 9099 = 4*q - 5*a - 113435. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-84)\/(-63))\/((-2)\/(-1797))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1100*a**2 - 3648*a**2 - 12*a + 24*a - 12*a)*(5*a + 3*a + 4*a + 1 - 1 - a + a - 4*a + 2*a + (2*a + 0*a - 4*a)*(2 + 2 - 2)).\nAnswer: -28488*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 181677.85 and 0.019930005.\nAnswer: 181677.869930005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/9*k**2 + 2\/3 - 20\/9*k.\nAnswer: 2*(k - 1)*(7*k - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, m: 2, l: 8, j: 3}. Give prob of picking 1 l, 1 m, 1 q, and 1 j.\nAnswer: 112\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 494 and 13253260?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 18*i**2 + i**3 - 18*i**2 - i + 2. Let c be n(0). Let v(r) = r**2 - 5*r + 6. Let s be v(4). Solve -x - s - c = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*c + 5 = 68*c. Let o be c\/(-2 - (1 - 4)). Let g(s) = -s**2 - 5*s + 6. Calculate g(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/3)\/(2\/(-42)). Let q(u) = -u**3 + 8*u + 3 + 0 - 1 + 6*u**2. List the prime factors of q(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, i: 3, g: 1, a: 2, s: 1}. Give prob of picking 1 a and 1 g.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -431 (base 14) to base 5\nAnswer: -11302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -46*t - 20. Let p = 0 - 3. Let n(x) = -9*x - 4. Let d(f) = p*b(f) + 16*n(f). Let j be d(-8). What is the greatest common divisor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, -0.5, 3\/5, -3, 284\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-2\/15)*p))**48 assuming p is positive.\nAnswer: p**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.84772 and 2.\nAnswer: -3.69544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 13. Solve -3*g + v*g - 1 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 3:15 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*h = 51, -4*h = 5*l + 30 - 151. Suppose 3*m = -0*m - 5*o + l, 5*m = -3*o + 51. Let v = -49 + 86. Solve -v + m = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 - 25*y**2 - 12*y - 21. Determine i(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l = 67 - 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (-14)\/49*-14*2. Suppose 459 - 1254 = -u*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b. Let n(w) = -w**2 + 2*w. Determine 15*c(o) + 6*n(o).\nAnswer: -6*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25242 - 17349. Let v = 47477\/6 - w. Let n = -54501\/22 - -2475. What is the common denominator of n and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**3\/6 - a**2\/2 + 2*a - 15. Suppose -4*g = -19 + 7. What is q(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 + 18*t**2 + 25*t + 79. Determine o(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -5*u**7\/42 - 7*u**4\/12 - 5*u. What is the third derivative of h(l) wrt l?\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 375\/1080 - (-48)\/144*(-6)\/16.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(5 - (-3 - -4)). Suppose -80 = -0*g - m*g. Suppose 0 = 2*z + q - 9, 3*z - q + 2 - 3 = 0. What is the smallest common multiple of z and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 + -3.07. Let j = -16674.74 - -16675. Which is the fourth smallest value? (a) -2\/3 (b) j (c) t (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -1. Suppose v*d = -p + 103, d + p = -d + 43. Let z = 22 - 11. What is the remainder when d is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*m**2 + 4*m**2 + 8*m**2 - 5*m**2 - m**2 + 4*m**2 - m**2 - 3*m**2 + 3*m**2 + (2 + m - 2)*(-m + 2*m + m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 3:25 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.295 times 0.3?\nAnswer: -0.0885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -0.914.\nAnswer: -0.01828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30642 is divided by 326?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 76107570493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99427311?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1*3 + -33 + 34 + 688\/86\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 - 10*c - 17. Let v(x) = -52 - x**2 + 2*x**2 + 9*x**2 - 30*x. Let r(j) = 7*b(j) - 2*v(j). Let a be r(11). Let q(n) = -4*n + 4. What is q(a)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61019 * 5\nAnswer: 305095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/85 - 1)\/(70\/175).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, 13 in ascending order.\nAnswer: -3, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -5)*-15*(-13 - (-610)\/50).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**6\/60 + 89*m**4\/12 - 61*m**3\/3 + 2*m**2 - 18. What is the first derivative of a(b) wrt b?\nAnswer: -6*b**2 + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2655577?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -6. Let y be r\/(-4) + 685\/20. Suppose 0 = 5*x + 5 - y. Calculate the highest common divisor of 66 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(3\/5)*v*v)\/v**(-2\/15))\/(v\/v**2*v*v*v)**(20\/3)*v**0\/(v\/v**(1\/2))*(v**(1\/4))**14 assuming v is positive.\nAnswer: v**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*i - 5 = -205*i + 5*z, 0*z + 7 = -4*i - 5*z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2dbd - 0?\nAnswer: 2dbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 49 + 0 - 594\/(-54)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2356, 19049, 64400, 152737, 298388, 515681, 818944, 1222505?\n\"Answer: 2388*y**3 + y**2 - 26*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f + 5*f - 11*f**2 + 3 + 10*f**2 - 5*f. Suppose 2*u + 15 = 5. Determine j(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*n + 1204, -22*n - 2*h = -24*n + 1208. What is the greatest common divisor of 24 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2017 + 2016. Sort 2\/463, w, 1\/5 in decreasing order.\nAnswer: 1\/5, 2\/463, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -997738 divided by -49?\nAnswer: 20362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 + 2*q**4 + 3*q**4 + 0*q**4 - 4*q**4 + (-3*q**2 - q**3 + 3*q**2)*(2*q - q - 3*q) - 2 + 2 - q**4 - 4*q + q**4 + 4*q.\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (3 + -2)*2. Let z = -4 + 5. Suppose -r + z = -b, 0 = -5*v - 3*r + 6. Solve 3*f - f = v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + 7. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 4*z**2 - 4*z + 20. Let p be n(4). Suppose p + 6 = 2*h, i = h - 5. Which is the closest to 0.1? (a) 0.4 (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 8*b**2 - 5*b + 1. Let i be r(-7). Let v = -9 - i. Suppose 5*f - v = 21. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.96 + 22.64. Let x = 25.32 - i. Which is the closest to 2? (a) x (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 1. Let i(o) = o + 1. Let h(m) = -5*i(m) + 4*k(m). Suppose -3*n - 8 + 20 = 0. Suppose -4 = 4*g + 3*y, n*y - 14 = 2. Give h(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 246\nAnswer: 1722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 95172 or 95177?\nAnswer: 95177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 + 3*k - 3*k + (85 - 109 - 213)*(-3*k**2 + 0*k**2 + 2*k**2) in the form a*k + s*k**2 + m and give s.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -240861845.\nAnswer: -240861844.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 3*p - p**3)*(-106 + 106 + 5*p) + (0 - 226*p**2 + 227*p**2 - 4 - p**3)*(4*p - p - 2*p).\nAnswer: -6*p**4 + p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 5*b + 1. Let k be c(-5). Suppose -45*j + 208 = 7*j. Solve 0 = q - j*a + k - 13, -4*a = -4*q + 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 279 and 2325?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 250 - 0.7\nAnswer: 249.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - (sqrt(171) + -4*1*sqrt(171) + sqrt(171))))\/(sqrt(729)*1).\nAnswer: 4*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(20) - (sqrt(320) + 1)))**2 + 4 + -2*sqrt(20) + -2.\nAnswer: 12*sqrt(5) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 0.2, -1\/2, 10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 1:15 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*j - 2*m - 1, j - 4*m = -17. Suppose 0 = -j*l - 4*b + 2283, b = 4*l - b - 3066. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1402, 1736, 2622, 4330, 7130?\nAnswer: 11292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -4, 2 in decreasing order.\nAnswer: 3, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -13 + 10*h**2 - 23*h - 9*h**2 + 0*h. Let i be j(18). Let b = -105 - i. Let p(x) = -x**3 - 4*x**2 - 3*x - 1. Give p(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00180729773 to six decimal places.\nAnswer: 0.001807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 197186805 and 2781.\nAnswer: 197186805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -19140218 to the nearest one hundred thousand.\nAnswer: -19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {k: 3, y: 1, w: 4, q: 12}.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 3339*t**2 + 6694*t.\nAnswer: -t*(t - 2)*(4*t + 3347)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*(sqrt(91)\/sqrt(7) + -1 - sqrt(13)) + 4*(sqrt(1872)*-1 - sqrt(1872))*3)**2.\nAnswer: 2304*sqrt(13) + 1078288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-35) + 5\/(-45)*((-1068)\/(-30) - 11)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 2 - (29 - 25) - -17.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 4*d, 2*r + 2*d - 74 = -76 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233 by 360926.\nAnswer: -233\/360926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -18*i**2 - 5*i. Let g(y) = 22*y**2 + 6*y. Let f(n) = 5*g(n) + 6*x(n). Let k(q) = -6*q. Determine f(k(z)).\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6270*r - 6201*r = -12386*r + 2125 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21441*p**3*q**3 - 4*p**2*q**2 - 3*p*q**2 + 11*p - q**3 wrt p.\nAnswer: -128646*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q + 3*y = 3, 4*y - 8 = 5*q. Let i(a) = a**2. Let f(z) = -3*z**2 + 5*z**2 + 2 - 4 + z + 3*z**2. Let s = 3 - 2. Determine q*i(m) + s*f(m).\nAnswer: m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 2287328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*l + 21444 = -1915*l - 177*l - 36706 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30710 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 2*u**5 + 3*u + 6. Find the first derivative of t(q) wrt q.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 161*f + 119 - 119 - 952*f - 608*f as r + m*f and give m.\nAnswer: -1399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 3*f**2 - 2*f + 3. Let g(p) = -p**2 - p + 1. Let x(d) = 4*d**2 - 195*d - 251. Let m be x(50). Determine m*k(l) + 5*g(l).\nAnswer: -l**3 - 2*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-60))\/((-5)\/25)*84\/(-952)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 - 121825*c + 121825*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130157.\nAnswer: 23, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*b + 380*b = -110 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**3\/3 + 12*z**2 - 53*z - 38. What is the lowest common multiple of o(17) and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8*n - k = 40, 0 = 3*n - 4*k - 41. Solve 2*f = n*f + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5471516 and 7659.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3 - 1 = 0. Suppose 6 = -2*o - o. What is the nearest to 1 in k, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*l - 892*l + 233*l + 220*l + 234*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 112516.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j - 1619199*j**3 + 35*j + 809598*j**3 + 809602*j**3 - 14*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17937652 to the nearest integer?\nAnswer: 4235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*b**3 - 29*b + 12*b + 13*b + 4*b + 27*b**2 as n*b**2 + h*b**3 + z*b + a and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbxqh. Give prob of sequence hbh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 73589717903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 - (-3 + 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 341447622 to the power of 1\/3, to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-75)*(-2)\/4*-5\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601928?\nAnswer: 2, 67, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -d - 7, -m + 5*m + 10 = 5*d. Let u be d\/(8\/(-54))*-2. Let w = u - -47. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-6))\/(1\/24). Suppose 0 = -3*r + 7*r + j. List the prime factors of (r - -7)*2*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222366 is divided by 66?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/3))**(-39)*r*r**(-1)*r\/r**(-2)*r*((r\/(r**(-1\/8)\/r*r)*r*r)\/r**(2\/15))\/(r**(5\/2)\/r**(-2\/9)) assuming r is positive.\nAnswer: r**(-21863\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + 0 - (9 + -6). Let v(d) = o*d - 1 - 1 - 1 + d**2 + 6. Let m = 1 - 3. Give v(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.2296081 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**4\/3 - 19744*v**3\/3 - 48984026*v**2\/3 - 420667068*v - 1421841168 = 0?\nAnswer: -4923, -22, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -25. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (-84 - (-35 - 1))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 6*a**2 - 8*a - 1. Let o be m(-7). Let s(w) = -w**3 + 5*w**2 + 6*w + 4. Let v be s(o). Suppose -v*h = h. Solve 4*j + h*j = -16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20181209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1032 - -313123?\nAnswer: 312031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 1761895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -17*r + 84. Let a(w) = -25*w + 85. Give 2*a(q) - 3*s(q).\nAnswer: q - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.7, -4\/5, -3, -0.5 in increasing order.\nAnswer: -3, -4\/5, -0.5, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -8. Let w = -1229\/110 + 80\/11. Let l = w - -7\/30. Which is the second biggest value? (a) z (b) l (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -11*i**2 - 3. Let l(r) be the first derivative of -5 - 1\/2*r**2 + 0*r. Determine l(m(c)).\nAnswer: 11*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o - 24 = -u, 3*o - 114 = -4*u. Suppose u*x = 31*x - 12. Let d(z) = -x*z - 13*z + 15*z. Let k(y) = 3*y**2. What is k(d(g))?\nAnswer: 300*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) -1 (c) 2\/7 (d) -4 (e) -1\/44 (f) -9.86\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -3. Let m(s) = -s - 4 + 4 - x. Let k = -6 - -1. Determine m(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2480497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2)*132\/(-4). Let w = 56 + c. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372012583?\nAnswer: 372012583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2101800236, 2101800234, 2101800232, 2101800230?\n\"Answer: -2*m + 2101800238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13332210 - 0?\nAnswer: -13332210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**2 - 10*f + 7. Let h(j) = -j**2 + j. Let t(w) = d(w) + 5*h(w). Let k be t(6). Calculate the highest common divisor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 42441 = -3*b, 0 = -3*b + 10*h - 15*h + 42449. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5\/8, 8264, 0.16, -3, -2 in increasing order.\nAnswer: -3, -2, 0.16, 5\/8, 1, 8264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 23*b**6\/24 - 11*b**5\/60 - b**4\/4 + 2*b**2 + 1. Find the third derivative of n(s) wrt s.\nAnswer: 690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -177?\nAnswer: -17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -135 + 87 + (18 - -42)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2660 and 4161?\nAnswer: 582540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 210704 and 210701 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*x + 201*x = -60 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1951)\/(-570) + (-6)\/(-15). Let k = s - -1\/95. Calculate the common denominator of k and -77\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180329*-98.\nAnswer: 17672242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7*(-4)\/(-8). Suppose 0*t = -2*t. Let p be (t*2\/(-6))\/(-1). Does p = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13772\/(-939)*18\/(-8) + 35.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 20. Suppose -z - 3*z = -y. Suppose -v = 3*u - 2*v + 1, -5*u + 5 = 5*v. Solve u = -z*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 3. Give r(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 62. Let s(x) = -14*x**2. Calculate s(k(f)).\nAnswer: -56*f**2 + 3472*f - 53816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002491164 rounded to six dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 1. Let w be i(2). Is 13\/w - (-6)\/15 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 233*b - 905121 + 873433 for b.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zza when three letters picked without replacement from oozazazfzzzzzozz?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = g - 6*g + 15618, -5*g + 15628 = -m. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3735?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8345 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b - 6*b - 2*b - b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 4:37 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40 - 4?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*z - z. Suppose -f = -6*f. Which is smaller: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 15*d**2 + 50*d - 36. Let j be h(-9). Solve 0 = 3*s - 3*y, j = 6*s - s + 2*y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*u = 54*u - t - 9, 4*t + 20 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 3)\/(5\/1). Which is bigger: z or 2\/159?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**5 + 59*o**5 + 5*o - 3*o + (o**3 - o**3 - o**5)*(6 - 2 - 1).\nAnswer: 52*o**5 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 15 = -a + 2*q, 0 = -2*a - q - 12 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -29*c**2 - 78*c - 212. Calculate h(-7).\nAnswer: -1087","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - 46. Let v = i + 60. Let b = v - -55. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3\/5, 2, -34, 43 in ascending order.\nAnswer: -34, -3, 3\/5, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -5390 in descending order.\nAnswer: 4, 3, -5390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5300307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1335, 5114, 11413, 20232, 31571, 45430?\nAnswer: 61809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 16 = -3*r - 71, -4*l - 2*r + 22 = 0. Suppose 4*c = 5*y + 7*c - 107, 0 = 2*c - l. Solve s + 18 = y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27204?\nAnswer: 2, 3, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/((-1)\/2). Let v = 0.0078 + -161.1078. Let z = 161 + v. Which is greater: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5052 divided by 2526.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*f + 7 = 33, 0 = 5*r + 3*f - 57. Put 2, r, 5 in ascending order.\nAnswer: 2, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-26)\/117*-6)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*s + 4346 + 1329 - 737 = 430 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/14 and -99\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -841 or -1912?\nAnswer: -1912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122911\/19755 + 1\/2195. Sort 16, 2\/7, 1, q.\nAnswer: 2\/7, 1, q, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 12 = -3*h, 3*h - t = 2*t + 6. Let m = -168 - -165. Which is the smallest value? (a) -1\/7 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -1419, 2\/15, -0.08, 0.06 in increasing order.\nAnswer: -1419, -3\/5, -0.08, 0.06, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*z - 9. Let l(g) = 1 - z - 5*g + g. Let q be l(-6). Calculate the greatest common divisor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18080341.\nAnswer: 809, 22349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(980\/(-93)) + (442\/(-26) + 16)\/20.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 + -47. Suppose -2*h + 3*y = -1431, 3*h + 7*y - j*y = 2155. List the prime factors of h.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 249 + -246. Let h(y) be the second derivative of 0*y**2 + 7*y + 0 + 0*y**o + 1\/90*y**5 + 1\/135*y**6 - 1\/27*y**4. Factor h(t).\nAnswer: 2*t**2*(t - 1)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**2\/9 - 15280*s\/3 + 14592400 = 0.\nAnswer: 5730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3942 divided by 4\nAnswer: 1971\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52126 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*l**2 + 2*l + 14 - l + 31 + 6 wrt l?\nAnswer: -10*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 25*a - 6. Let h(j) = -24*j + 43. Let p be h(4). Let w = p + 59. What are the prime factors of y(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*o + 5*x, 5*x - x - 16 = -4*o. Let n be 21\/6 + o\/2. Suppose -6 = -2*z - 5*g + 28, n*z - 51 = 3*g. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 45, 126, 205, 282, 357, 430?\n\"Answer: -x**2 + 84*x - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u**2 + 5*u + 4. Let g(i) = -11*i**2 + 14*i + 11. Give -6*g(q) + 17*j(q).\nAnswer: -2*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k + 3. Suppose 28*q + 921 = 13577. Let u be 1 - (q\/132 + (-4)\/k). Which is bigger: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j\/(j\/j**3)))**22)**(19\/5) assuming j is positive.\nAnswer: j**(-1672\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -72, -4501, -3 in decreasing order.\nAnswer: -2\/3, -3, -72, -4501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 15*y**2 + 53*y + 23. Let g be c(7). Put -3, -6, g, 0 in descending order.\nAnswer: g, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 2 - -2) + -2. Suppose 2*m + 2 = -3*a - r*a, -2*a = 5*m + 16. What is the second derivative of a + 8*h**3 - 2 + 5*h + 6*h wrt h?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 597925 divided by 121\nAnswer: 597925\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (530\/(-4664))\/(0 - 10\/(-240))?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*(-1 + sqrt(28)*3))**2.\nAnswer: -6831 + 324*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**3 + 3*t**2 - 3*t + 3. Let w(r) be the first derivative of -4*r**2 + 95 + 8\/3*r**3 + 5\/2*r**4 + 8*r. Give -3*w(o) + 8*x(o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1202112210 (base 3) to base 16\nAnswer: 8766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1962 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/(-30) + 3\/(-18) and 1626\/540 - (-3)\/(30\/(-4)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -226*w**2 - 91*w. Let a(d) = 181*d. Give t(a(b)).\nAnswer: -7403986*b**2 - 16471*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84 - 7942\/95) + 0\/((-3)\/3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k = -15*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 4:08 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2950412396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65096 and 261311.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -1, 0.02.\nAnswer: -1, 0.02, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1049 - -4?\nAnswer: 104d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-2))\/(1 + -3). Suppose -3*f - 5*n + 52 = -p*f, -f - 3*n + 24 = 0. What is the least common multiple of 2 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -3. Let w be (-8)\/(-12) - 2\/(-6). Which is bigger: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.24 + 3.96. Which is the second biggest value? (a) v (b) 0.2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -25*f**2. Let i(u) = u. What is i(x(h))?\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3541681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 6. Let j(d) be the third derivative of -d**5\/60 - 5*d**4\/24 + 5*d**3\/6 - 8*d**2 - 14*d. Let b(q) = q**2 + 2*q - 2. What is a*j(r) + 5*b(r)?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -780*2794.\nAnswer: -2179320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k + 63*k**3 - 65*k**3 + 9*k + 6*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d - 395 + 737 - 372 to the form m*d + l and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4583*-53.8\nAnswer: 24.65654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*f - 2. Let v be (-8)\/3*-1*(-15)\/(-5). Let x(y) = 2*y - 10*y + 2*y + v*y. Give x(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46, -52, -58, -64?\n\"Answer: -6*o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 14*t + 70. Let s(x) = -9*x - 69. Let r(v) = 2*n(v) + 3*s(v). Give r(32).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + a + 1, -7*c + 5 = -2*c - 2*a. Let y = 2 - 2. Suppose -o + 2 = i + 4, y = -2*i - 3*o - 7. Solve -k - c - 1 = 0, 0 = -3*l - 4*k - i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p + 0*p + 558 = -4*p for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2874, -2850, -2826, -2802, -2778, -2754?\nAnswer: -2730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(2*d**5 - 4*d**5 + 4*d**5) + (0*d**3 - 3*d**3 + 5*d**3)*(4*d**2 - 4*d**2 - 2*d**2) + (8259*d - 80*d**4 - 8259*d)*(0 + 0 - d).\nAnswer: 72*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34391675 - 16334675. Round l to the nearest one hundred thousand.\nAnswer: 18100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40383 + -159827\/4. Suppose -3*h - 5*u = 2*h + 2120, -2120 = 5*h + 2*u. Let d = l + h. Calculate the common denominator of 23\/12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 14 = u, 2*j - 1971*u - 83 = -1976*u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1045 + ((-2)\/3 - 6\/18) is divided by 96.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*z = 77*z + 432. What is the highest common divisor of 54 and z?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(9\/(-42))*(-1518)\/9108 - 470\/6\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + (-72)\/(-15) - (-26)\/5. Suppose 5*f + 5*s = -5, 5*s - n = f + 8. Let h = 14 + -20. What is the second biggest value in f, h, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, y: 4, x: 7}. What is prob of sequence yb?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*n + 81*n - 16*n - 9*n - 21*n.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.12 (b) -1\/11 (c) -23 (d) 1\/11 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 27*q - 4. Let r(w) = 9*w - 1. Let p(a) = 7*r(a) - 2*v(a). Let i be p(5). Is 23*2 - 4\/i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 4*o + 3. Let p be (2 - (-114)\/o) + 5 + -5. Is 116 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000 (base 2) in base 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d + 4. Let g = -1737 + 1739. Calculate p(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422524 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2235 and -0.05.\nAnswer: -2235.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 14760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-45)\/(-63) + 30244\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 35, 73, 111, 149, 187, 225?\n\"Answer: 38*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 49375622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141982, 283965, 425948?\nAnswer: 567931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g. Let d(q) = 4*q - 15. Give -2*d(r) - 6*m(r).\nAnswer: -2*r + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 12 + 12 + 3*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1611 + 1639. Calculate the remainder when 263 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47266178 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 580 = 7*i - 2*i, 0 = 4*i + 16. Calculate the remainder when y is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 - -108. Suppose d = -q - 2, t = 4*q + 85. What are the prime factors of t?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99353307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 24. Let z = 267.9 + -252. Let f = z - u. Which is the second smallest value? (a) 5 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9572 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-210)\/(-3) - -6) + 0\/(-4). Calculate the highest common factor of p and 304.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 791 is divided by 763.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(1\/(-2)) - 2. Let s be t\/12 - (-44)\/6. Suppose w - s = -0*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35940 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 14. Let v = s - -19. What is the smallest value in 5, -0.6, v?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 971*z - 19 + 10.\nAnswer: -971*z - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 20. Suppose 2*u = -0 + c. Suppose 2*d + u*k + 231 = 5*d, 5*d - 401 = -2*k. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**48*(((a\/(a**(-1\/6)*a))\/a)\/a*a)\/a**9 assuming a is positive.\nAnswer: a**(-635\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2 + 3*z - 2. Let r(m) = 2*m + m - 3*m - 2*m**2. Give r(k(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 12:06 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -10194702 at most -10194703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(4500)*-1*-5)\/((sqrt(270)\/sqrt(5)*-2)\/sqrt(6))*3.\nAnswer: -75*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 + 497\/21. Let h = -14 + z. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/45 + (-35)\/(-21))*-2. Sort 0.3, 5\/3, r, -0.6 in increasing order.\nAnswer: r, -0.6, 0.3, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Let k be 546\/84 + 3\/2 - -16. Solve 4*n - k = 5*w + 21, -3*w - f*n = -5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -27. Let i = 18.0000018 - t. Round i to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/3 (b) -278\/5 (c) -44 (d) -3\/5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 285390211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -34.17. Let x = a - -0.07. Let b be (6\/120)\/(24\/(-15) + 2). What is the third biggest value in b, 3\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -5*x - 2. Suppose -7*b + 118 = 4*g - 2*b, -b - 34 = -g. Suppose -o + 9 + g = 0. What is the remainder when o is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3044.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69474714541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 104 + 85. Find the third derivative of -6*g**2 - n*g**6 + 0*g**6 + 12*g**6 wrt g.\nAnswer: -1080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 21 = 3*t. Suppose 3*h - 7 = -4. Let r = t + h. Calculate the highest common divisor of 24 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -48. Let r(u) = -u - 1. Let o be r(-3). Factor -1\/2*l**o + 0*l + 1\/2*l**t + 0.\nAnswer: l**2*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 11*r - 62. Let t be c(6). Let w(u) be the second derivative of -1\/18*u**t + 0 - 1\/45*u**6 + 7*u + 1\/15*u**5 + 0*u**2 + 0*u**3. Factor w(f).\nAnswer: -2*f**2*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10012607*q**2 + 9*q + 7364 wrt q?\nAnswer: -20025214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than -261546081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**3 + 3*n**2 - 14*n + 8. Let z(o) = -2*o**3 + 2*o**2 - 9*o + 5. Let b(k) = 5*t(k) - 8*z(k). What is the units digit of b(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724901953?\nAnswer: 283, 2561491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.03. Let q = 373.048 + -373. Let d = -4.048 + q. What is the nearest to 1\/4 in -2\/7, d, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19 + -23 - 19\/(-6). Let w = 13\/30 + t. Put w, 4, 7\/4 in descending order.\nAnswer: 4, 7\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 48. Let y be -1 - (-3)\/w*4. Let h = 0 + -0.2. Which is the third smallest value? (a) y (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*s = -269*s + 136*s + 836 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijccicccoiii. What is prob of picking 1 o, 2 j, and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -365\/2 - -183. Which is the closest to z? (a) -1\/7 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-38)\/(-475))\/((-1)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -212.5 - -111.4. Let t = 101 + k. Which is the closest to t? (a) -3 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10050000 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s + 5. Let d(c) = 9*c + 6. Suppose r + b + 27 = 0, -r - 2*b = -7*b + 27. Let k = -22 - r. Give k*d(l) - 6*q(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1758.3 - 1758.5. What is the second smallest value in -1\/4, g, -228.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) -37 (c) 0.1 (d) 431 (e) -22 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**5\/7 - 252712*a**4\/7 - 3992722900*a**3\/7 - 5699883264*a**2 + 6270308352*a = 0.\nAnswer: -31584, -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131333933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2553.8613 rounded to 0 dps?\nAnswer: -2554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 6263*y + 6056*y - 13368*y + (-2*y - y - 2*y)*(-2 + 1 - 1)*(-2 + 2 - 2*y).\nAnswer: -22*y**2 - 1049*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 58 = 4*w + 30, 2*w + 220 = 7*h. Calculate the smallest common multiple of h and 384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000039747 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 0, -0.2 in descending order.\nAnswer: 0.01, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_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: -5 + (19\/(-7 + (-66)\/(-9)))\/3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -879+2\nAnswer: -877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001772 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -360661?\nAnswer: -360654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 9:42 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04, -1\/7, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48827839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1903, -1926, -1963, -2014, -2079?\nAnswer: -2158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**3\/6 - 21*l**2 + 130*l. Let m be f(-46). Solve -8*v - m = -7*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2 + 26 = 0. Let y(t) = -t**3 - 5*t**2 + 5*t + 8. List the prime factors of y(d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 50*p - 53. Give g(28).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -23a06 (base 11) to base 8\nAnswer: -103273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -a + 11, -3*a - 3*v = -7*v - 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 526 = 17*n + 9*n - 176. Suppose 4*y - 9 = 7. Calculate the smallest common multiple of y and n.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/400 and 7\/2740.\nAnswer: 54800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**3 - 13*w**2 - 19*w - 3. Let m(f) = 7*f**3 + 25*f**2 + 37*f + 5. Let z(b) = -5*d(b) - 3*m(b). Factor z(x).\nAnswer: -x*(x + 2)*(x + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w + 6*w + 6 - 7*w to z*w + i and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.54? (a) -0.18 (b) 0.3 (c) -0.1 (d) -3 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtjxaqa. Give prob of sequence ttx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (0 - 2\/(-2)). Let a be ((-81)\/12)\/(58\/(-16) + 4). Let c = s - a. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2770250477?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 62)*((-9)\/(-18) + 1). Let k = x - -98. Suppose 0 = k*v - 4*a + a - 289, -2*a - 118 = -2*v. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61*m**2*z - 989*m**2 + 4*m*z**3 wrt z.\nAnswer: 61*m**2 + 12*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2524*k**4*v - 215*k**4 + 4*k**3*v - k**3 + 99641731*k**2*v wrt k.\nAnswer: 60576*k*v - 5160*k + 24*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -47, -82, -117?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -9*p. Suppose -5*f - 6 + 0 = -2*v, 2*v = 2*f. Let t be g(v). Calculate the highest common factor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 2*y + y)*(0 + 0 + y) - y**2 - 3*y**2 + 5*y**2 - 6*y**2 + 9*y**2 + 19*y**2 - 2*y.\nAnswer: 20*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345705583.\nAnswer: 31, 241, 46273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 - o**2 + 5*o. Let g(q) = -q**3 + 2*q. Calculate 5*g(b) - 2*n(b).\nAnswer: -b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/25)*v**(1\/4))**(23\/3)*v\/(v\/v**(-4))*v**(-3\/7)*(v**(-1)*v)**41 assuming v is positive.\nAnswer: v**(3179\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.94 - -2. Let t = s - -4.94. Let y = t + -5. Put -1\/3, -4, y in ascending order.\nAnswer: -4, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20471962\/9 = 2274661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*o - 33*o = 266. Let s = 66 - -3. Suppose -s = -4*g + 71. Calculate the greatest common divisor of g and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7863 - -8608. What is the highest common factor of j and 8791?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39.3 - -41.3. What is the nearest to 4 in -6\/5, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 - 1063*b**4 + b + b**2 + 7 + 1064*b**4 - 3 to z + d*b**2 + n*b**3 + r*b + u*b**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2202309 + 5327182. Let y = l - 56211871\/18. Let w = -1994 + y. What is the common denominator of w and 89\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 8. Let r(k) = 110*k**2 + k + 24. Let m(d) = -63*d**2 - d - 13. Let s(o) = -7*m(o) - 4*r(o). Calculate s(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2362508 minutes in seconds?\nAnswer: 14.175048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -4, 2, 10, 20?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**2 - 6*d + 4. Let z(a) = -5*a**2 + 4*a - 3. Let i(q) = -3*h(q) - 4*z(q). Let b = -3 + 1. Let g(w) = w**2 + w. What is b*g(j) + i(j)?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - o = -10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + 0 + 1122\/153. Let y = -0.103 - 2.897. Which is the third smallest value? (a) o (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + -42. Let f = -390 + 274. Let u = j - f. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -945\/37, 0.5 in ascending order.\nAnswer: -945\/37, -2\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 12618 = -11*q + 12525, -q + h + 17 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*g - 85 - 72, -4*g - 138 = -3*q. What is the remainder when g\/(3*(-4)\/12) is divided by 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*a**2 + 3*a - 6*a + 3*a - 5.\nAnswer: -105*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6271.237 rounded to the nearest 100?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31260 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Suppose -3*v = -c - 2, q*c - 3*c - 5*v - 76 = 0. Let r = -6 - c. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84 + -19 - -53) + 67.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -2*n - 61, -194395*f = -194394*f + 3*n + 25 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 606524700 to the power of 1\/2, to the nearest integer?\nAnswer: 24628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**3 + 764*f**4 - 136*f + 2*f**2 - 23*f + 39*f - 746*f**4 wrt f.\nAnswer: 432*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s**3 + 5*s**2 + 5*s - 5. Let o(v) = -8*v**3 - 4*v**2 - 4*v + 4. Give -5*o(d) - 4*w(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 - 1)*(0 + 1 + 0) + 5 + 0 - 3 - 4 + 3 + 0 + 1 + 1 - 3)*(-4346 + 4346 - 129*t) to b*t + c and give b.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 13*i + 168. Calculate the smallest common multiple of 164 and z(20).\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.01, -1.1, -1\/3, 18\/19, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240)*-1)\/sqrt(8) + sqrt(30))\/((sqrt(72)*2)\/sqrt(12)) - (2 + 1 + sqrt(245) + 1)**2) + -4.\nAnswer: -265 - 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*o = -64952, 5*o + 221 + 80964 = 5*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 9, -3\/32, -4775 in ascending order.\nAnswer: -4775, -0.3, -3\/32, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 - 9040*j - 528*j.\nAnswer: -9568*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54918 is divided by 27453.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 7:50 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 265*r + 2. Is x(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3, 3, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-25) - 104\/(-10). What is the highest common divisor of 20 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*q - 16504, 7*q + 4*m = 2*q + 41247. List the prime factors of q.\nAnswer: 37, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6527, -5579, -4631?\n\"Answer: 948*t - 7475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 32599*n**2 - 260808*n - 1564880\/3.\nAnswer: (n - 97805)*(n + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -115*m**2 + 249752278*m - 249752278*m. Suppose 0*s = -2*s + 10. Let b(f) = 2*f**2 - 5*f**2 + s*f**2. What is d(b(h))?\nAnswer: -460*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from urdrqqzx. Give prob of sequence zxrr.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.2 (c) -3 (d) -0.048 (e) -9 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 11*l**2 + 4)*(2*l + 6*l**2 - 2*l) - 3 + 3 + 2*l**4 + 3*l**4 - 2*l**4 + 0*l**4.\nAnswer: 69*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 15) in base 10?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vki when three letters picked without replacement from {i: 1, k: 1, x: 4, a: 2, v: 2}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97\/159 + -3\/53. Let i = -19.6 + 5.6. Is k bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 1. Suppose -2*p = p. Suppose -3*n - 5*s + 95 = p, -2 + 6 = s. Solve n = -t*a - 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-2\/5)))\/y)**(2\/5) assuming y is positive.\nAnswer: y**(-14\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 151667636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 162389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 + 0*i**2 - 8*i**2 + (-5 + 3 + 0)*(-2*i**2 - 1 + 1) - 2*i + 2*i - i**2 + (-2*i + 3*i + i)*(0 + 0 - i) + 5*i**2 - 5*i**2 - i**2 + 3*i - 3*i - 3*i**2.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 110010100110 (base 2) to base 16\nAnswer: ca6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z + 1. Determine u(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 20 = 5*v. Suppose 0 = -5*y + 20 + v. Which is the closest to 0? (a) 0.2 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -2b8495?\nAnswer: 2b8498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdis when four letters picked without replacement from {i: 2, b: 1, s: 7, z: 2, d: 2, f: 1}?\nAnswer: 1\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 6*g + 31. Let o be 2\/g - (-5 + 2215\/(-45)). Find r, given that -o*r**3 - 3*r**5 - 21*r**4 - 6*r**2 - 6*r - 21*r + 3*r - 54*r**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6904517*c**3 + 18585832*c.\nAnswer: 41427102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084 divided by -2?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**6\/2 - 17*m**5\/5 - 37*m**4\/4 - 13*m**3 - 10*m**2 - 4*m - 45. Find f, given that b(f) = 0.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.2, -4\/7, 2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1781*n + 6984 = -2557*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -10*i**2 + 50*i + 214. Determine p(-6).\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -12*x**3 + 104427*x**2 - 547764*x - 1278459 = 0.\nAnswer: -7\/4, 7, 8697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 0*n**3 - 3 + 0*n + 1\/2*n**2 - 1\/84*n**4 + 1\/210*n**5. Let z(t) be the second derivative of v(t). Factor z(a).\nAnswer: 2*a*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149387852?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 + -62. Let g(v) be the first derivative of -3\/2*v**2 + 0*v**3 - 3\/4*v**4 + 0*v - p. Find the second derivative of g(k) wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2675 (base 9) in base 6?\nAnswer: 13152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + r = -3*r + 12, -5*r + 11 = 3*w. Suppose 3*g = -w*g + 10. What is the third derivative of 0*t**6 - 2*t**2 + t**2 + g*t**6 wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2898*d**5 + 2547*d**2.\nAnswer: 173880*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-3 - -5))\/(30\/(-18)). Sort -2\/5, -2, o, -0.005 in decreasing order.\nAnswer: -0.005, -2\/5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 0 + 0)**2 + (sqrt(5) + 5 + 2*sqrt(5))**2*5.\nAnswer: 150*sqrt(5) + 670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55468.\nAnswer: 2, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6296\/(-56664))\/((-1)\/882)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - 0.1. Let s = f + -1. Let g = -0.1 - 4.9. Put g, s, -1 in ascending order.\nAnswer: g, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06726 < 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 464, 8 in increasing order.\nAnswer: 5, 8, 464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*z - 14. Suppose -6 = -z*n + 3*p - 6*p, 2*p - 4 = -n. Suppose 5*o + 5*q = 50, n = 4*q - 5*q. Solve -d + 6*d = -5*l + o, 4*l + 22 = 2*d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o - 27*o + 105*o)*(22 + 2 + 6).\nAnswer: 2100*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6527.31771 + -73.\nAnswer: -6600.31771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*x + 52*x + 62*x + 57*x - 226*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 120960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -3\/29 (b) -1\/5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**3 - 1902*v**2 + 27555*v + 185700 = 0.\nAnswer: -5, 20, 619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28528 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 211*z**4 + 52*z**3 + 31*z - 3249991?\nAnswer: 844*z**3 + 156*z**2 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-16))\/((-27)\/(-36)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/224 + -1 + (-3)\/12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (230*t - 1214*t + 483*t)*(-1 + 7 - 4).\nAnswer: -1002*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 15*r = 85 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y**2. Let z(w) = -7*w**2. Let p(v) = -6*o(v) + 7*z(v). Let b(q) = -6*q + 5. Let m(c) = 5*c - 4. Let u(f) = 4*b(f) + 5*m(f). Determine u(p(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15612954*o - 2689497 wrt o?\nAnswer: 15612954","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 483*j**2. Let i(s) = -99018*s - 2. Determine i(x(g)).\nAnswer: -47825694*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.29 - 0.38. Let t = q - -0.19. What is the nearest to t in 2\/25, 0.3, 0.5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z**4 - 4*z**2 - 7. Let r(x) = -21*x**4 - 11*x**2 - 22. Let i(t) = -11*j(t) + 4*r(t). Differentiate i(l) wrt l.\nAnswer: -28*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i. Let q(j) = 7*j**2 + j - 2. Let h(b) = 29*b**2 + 987*b - 10. Let z(o) = -h(o) + 4*q(o). Calculate z(s(f)).\nAnswer: -4*f**2 - 1966*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 15 = -11*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10*y**3 - 4*y**2 - 4*y - 6. Let r(j) = -11*j**3 - 5*j**2 - 5*j - 7. Calculate -5*d(n) + 4*r(n).\nAnswer: 6*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2033\/456)\/((-6)\/(-4)) + -3.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - p + 2*z - 10, 9 = 3*z. Suppose -5*s - 2 = p*b + 2*b, -4*b + 3*s = -14. Factor -3*k**2 + 3*k**4 - 5*k**5 - k**5 + 2*k**5 + 3*k**5 + b*k - k**3.\nAnswer: -k*(k - 2)*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -15*k**2\/2 - 12*k - 8. Let w be i(-8). Calculate the lowest common multiple of 15 and w\/5 - (-66)\/(-110).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110 - -109.5. Let p be ((-8)\/10)\/(2\/(-10)). What is the smallest value in -3\/2, p, n?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m - 5. Suppose 0 = -4*o - 8, 35*o = -3*a + 39*o - 4. What is v(a)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-3))\/(3\/4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1735038 to the nearest integer?\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(5\/(-2))\/5. Let z be 5*(-16)\/(-20) + 2. Solve -z = -s*l - l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41018586 and 11886.\nAnswer: 41018586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003394854 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -115*j - 288. What is the hundreds digit of h(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.632 - 0.6. Let x = -0.0039 - 0.0561. Let c = x + r. What is c rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 1.2. Let s be (-60)\/45 - (37 - 39). Which is the fourth smallest value? (a) s (b) 1\/7 (c) u (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 14, 9, -14, -61, -138?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g = -29*g - 3*h + 1391, 0 = -5*h - 15. Calculate the least common multiple of 35 and g.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -41*t. What is w(1)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 7*l**2 + l - 7. Let k be q(-11). Let n = k + 1127. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 3688?\nAnswer: 3688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30970 divided by 163.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*o**3*z - 755*a*o**3 - a*o**2*z + 2*a*o + 18*a + 5*o*z wrt o.\nAnswer: -6*a*z - 4530*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -5. What is the units digit of 56 + -2*w\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000036348069 rounded to six decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6))\/((-6)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18021 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 360588164?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - l - 7, 3*a - 2 = -a - 2*l. Suppose m - 11 = 5*t, -m = -5*m - a*t + 22. Calculate the highest common divisor of 30 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2 + 0 + 1\/2*i**5 + 0*i**3 + i**4 - 1\/2*i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 9*f + 9*f - 3*f)*(-77*f**3 - 3*f**3 - 30*f**3) in the form s*f + a*f**3 + w*f**2 + z + c*f**4 and give c.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 - (1 + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-8 - (-152)\/24)*-798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*g - 1561 = -t, -2*t = 2*g - 628. Suppose 4*d - t - 127 = 0. Let w(n) = 2*n**2 - 54*n - 232. What is the remainder when d is divided by w(31)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 6. Suppose 30*k - 19*k + 66 = 0. Let p(z) = -11. Let m(r) = r - 11. Let d(n) = -2*m(n) + 3*p(n). Determine k*d(i) + 11*g(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*h = 5*p + 75*h - 141050, p = -5*h + 28187. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**5\/60 + 3*a**4\/8 + 2*a**3\/3 - a**2. Let f be p(-9). Suppose f*n = w + w - 250, 4*w - 3*n = 475. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 33 (c) -51\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41900225?\nAnswer: 5, 19, 88211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 0*s**4 + 0*s + 3*s**2 + 1\/112*s**8 + 1\/30*s**7 + 0*s**5 + 0 + 1\/60*s**6 + 0*s**3. Suppose p(j) = 0. Calculate j.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161268?\nAnswer: 2, 3, 89, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**6\/2 - 19*h**2\/2 + 28*h. What is the derivative of p(r) wrt r?\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1159 times -0.78\nAnswer: -904.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/13 - 32*d**4\/13 + 164*d**3\/13 - 248*d**2\/13 - 166*d\/13 + 280\/13 = 0. What is d?\nAnswer: -1, 1, 4, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 1245?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 494 + -446. Let p = -8846.49 + 8799. Let b = r + p. Round b to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*w = -204*w + 260 - 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/7825039 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*j = 4*u - 652, 2*j + 472 = 3*u. Let l = u + -124. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**3 + 2 - 5*c**2 - 2*c + 2 + 1. Let j(d) = -d**3 - 2*d**2 - d + 2. Determine -5*j(b) + 2*y(b).\nAnswer: -b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -141 - -145. Let 2\/3*d**2 + d**3 + 1\/6*d + 0 + 2\/3*d**i + 1\/6*d**5 = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiwpwtbv. What is prob of sequence twv?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95 (base 10) to base 3.\nAnswer: 10112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 162*k - 28*k - 46*k + (5*k + 0*k - 3*k)*(3 + 0 - 1)*(0 + 0 + 1).\nAnswer: 92*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1566333445?\nAnswer: 5, 149, 2102461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 12:17 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -41*o + 1. Let a be k(-3). Suppose -s - 3*s = a. Let d = s - -40. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -20\/11, 0.4, -2.34, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -4, 0, -3, 1473, 3, -46 in descending order.\nAnswer: 1473, 3, 0, -3, -4, -24, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2234, 2481, 2728, 2975, 3222, 3469?\n\"Answer: 247*d + 1987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2108 and 1338988.\nAnswer: 41508628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -27\/5, 0.1, 2, -263, -1\/4, 1.9 in descending order.\nAnswer: 2, 1.9, 0.1, -1\/4, -27\/5, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 6. Solve g = 2*j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.969 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -54. What is the remainder when 10\/b*(-135 - -1) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 3. Suppose s - 8 = l + 5, -5*s + 4*l + 62 = 0. Let t be (-2)\/(-5) - 64\/s. What is w(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11075\/31010)\/(5\/658).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -410 - -1260. Calculate the greatest common divisor of i and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.549279 and -65217.\nAnswer: -65218.549279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 174782 at least 174781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 - -0.2115.\nAnswer: 11.2115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -7 - -1 - (32 - (-42 - -19 - -64)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132998 + 803*v**2 + 132996 + 827*v**2 to the form a + z*v**2 + f*v and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + (sqrt(1573) + -2 + sqrt(1573))**2 - sqrt(1573)) + 3 + sqrt(1573) + sqrt(78)\/(sqrt(270)\/sqrt(5)).\nAnswer: -230*sqrt(13)\/3 + 6299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -0.1, 0, 31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30087882 and 36963.\nAnswer: 30087882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.95 - 0.7. Let m = -85.8 + 85.65. Let h = m + r. What is the fourth biggest value in 1, h, -0.5, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*j. Suppose j = w + 2*w - 30. Let u be 316\/20 + 2\/w. Solve 2*i + 5 = -i + 5*t, -u = -4*t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/84 less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 = 7. Let h = b + 8. Calculate the lowest common multiple of 4 and 10\/(h\/(-1 + 4)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 5, w: 2, y: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 - x**3 + 3*x**3 + 2*x**3 - x**3 + 2*x**3 + (-5*x + 5*x + 2*x**2)*(-3 + 3 - 2*x) to the form o + t*x**3 + z*x + h*x**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 8*g + 8. Let b be k(-9). Suppose -18 = b*c - 20*c. Find the third derivative of c*n**2 - n**2 - 6*n**4 - 3*n**2 wrt n.\nAnswer: -144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/3 + 4\/12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -1\/8, -0.72473, -4\/7, 3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2))**(5\/4)\/(y**(-1\/19)*y\/(y*y*y**(-2)\/y*y)*y) assuming y is positive.\nAnswer: y**(-391\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 170127?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**2 + 112*x - 512 = 0.\nAnswer: -32, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 4*k**3\/3 + 3*k**2\/2 + k + 4. Let l(t) = 3*t**2 + 2*t. Let a(x) = -5*l(x) + 4*z(x). What are the prime factors of a(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -377 + 216. Let i = v + 161. Which is the biggest value? (a) 2\/11 (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 4*v - v)*(3 + 0 + 4)*(2 - 4 + 1)*(1 - 5 + 3).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -10. What is the remainder when n is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - -8 - (-572)\/2080*-20\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/2 + (-3 - -584) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*(w*w\/(w**(-1)*w))\/w*w)*w**(2\/15))**(2\/17))**(-11\/6))**(-40) assuming w is positive.\nAnswer: w**(-2464\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -20*s**2 - 3 + 7 + 5*s + 18*s**2. Let w be k(4). Let b = 0 - w. What is the smallest common multiple of b and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -10*s + 103. What is i(-7)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1137357*q + 1137390*q + 132. Suppose 4*s + 2 = c + 3*s, c - 2 = -2*s. Let t be 4 + (-2 - (c + -2)). Sort q, -16, t in decreasing order.\nAnswer: t, q, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -26) + (-1 + 3 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*o + o**2 + 8842 - 8842 + (6*o - 3*o - o)*(1 - 1 - o) in the form l + d*o + a*o**2 and give d.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5, 1, -0.4, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 756.57818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 60, 3\/4, 1 in ascending order.\nAnswer: -29, 3\/4, 1, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 930 - 15808\/17. Let f = -24 + 25. Let i = 15\/8 - 157\/88. Which is the closest to f? (a) i (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**3\/3 - 8*j**2 + 29*j + 2640. What is r(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 248 + -10. Suppose -j = -n + 189. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 - -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6148 and 174.\nAnswer: 18444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 + 63 + 1 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1562 - 829 + 24*a - 3286 - 19*a)*(-6*a - a + 3*a) to g + r*a**2 + o*a and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152\/(-12) - -7 - -5)\/((-4)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5cb14 (base 13) in base 14?\nAnswer: 46497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29499 - 5?\nAnswer: 29494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11663752.26999956 + 11663752. Let t = 0.67 - 0.4. Let p = t + r. Round p to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -97 + 107 + j**2 - 4*j - j**3 - 8*j**2. Let a be t(-7). Let p = -18 + a. What is the remainder when 99 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t + 1 + 7. Let x(r) = r**3 - 8*r**2 + 5*r - 8. Let g be x(6). Let q = g - -199\/4. Is t equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -52, -33, 16, 101, 228?\n\"Answer: r**3 + 9*r**2 - 15*r - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*h + 77252, 77245 = 5*s + 8*h - 3*h. Is 50 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 42.8?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(c + 3*c - 5*c) + 4*c + 0*c - 3*c - 2*c - 2*c + 3*c + (0*c - 4*c + 3*c)*(-2 + 1 + 2) + 402 - 402 - 199*c.\nAnswer: -202*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7791?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8283101, -33132425, -74547969, -132529733, -207077717, -298191921?\n\"Answer: -8283110*o**2 + 6*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/130 and -77\/6?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 277\/20 + -55\/4. Let l(z) be the second derivative of 0*z**2 + n*z**5 + 0 - z - 1\/3*z**3 - 1\/15*z**6 + 1\/6*z**4. Factor l(k).\nAnswer: -2*k*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1104 (base 5) to base 3\nAnswer: 12201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-10)*42\/9. Let t(i) = i**3 + 9*i**2 + 3*i + 7. List the prime factors of t(f).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28643, -114776, -258331, -459308, -717707, -1033528, -1406771?\n\"Answer: -28711*p**2 + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 13852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.83998631 + -14.84. Round i to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102.2 - 194. Let r = n + 92. What is the fourth smallest value in 1, -2\/3, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-6 + (-64)\/(-11) - ((-13923)\/286 + 0)).\nAnswer: 75\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 12) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 170392031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k**1\/k)\/k))\/k*k)**(9\/2)\/(k**(1\/4))**0 assuming k is positive.\nAnswer: k**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/8, 158.8, 12, 1\/6 in decreasing order.\nAnswer: 158.8, 12, 1\/6, -1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhzh when four letters picked without replacement from fuhhfhhhhzzhzhz?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1001, -990, -979, -968?\nAnswer: -957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2985, -2982, -2977, -2970?\nAnswer: -2961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*m - 96 = 0, -3*v - 2*m + 28 + 22 = 0. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*t**5 + 7*t**3 + 383*t**2?\nAnswer: -1620*t**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 732.5 + -732. Suppose -3*i + 5 = -3*s + 7*s, 2*s = -i + 3. Which is the third smallest value? (a) -85 (b) i (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 4*q - 6 - 3, -5*a + 29 = -q. Solve 4*d - 2*d - 9 = r, -4*d + a*r + 33 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2484400.5 rounded to the nearest 10000?\nAnswer: -2480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.6 - 6.7. Let l = -4 - x. Let w(r) = r**3 + 9*r**2 + 3. Let u be w(-9). Sort u, -0.4, l in decreasing order.\nAnswer: u, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 836 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 3. Let c(j) be the second derivative of j**4\/12 - j**3 + 2*j**2 + j. Let k be c(4). What is the units digit of o(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -4. Put 29, p, 4 in increasing order.\nAnswer: p, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265070 is divided by 29450.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 - 5*v**2 - 100.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2278, -2276, -2274, -2272, -2270?\n\"Answer: 2*v - 2280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven quarters of a day?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91212 or -1\/2?\nAnswer: -91212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 1754 (c) -3\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -106 + 101 - 19*i + 7*i. Let v(f) = -8 - 28*f + 5 - 14*f - 15. Calculate -18*o(l) + 5*v(l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 0*k**2 - 2 - 1\/6*k**6 + 0*k + 0*k**4 + 0*k**5 - 11\/3*k**3. Find the third derivative of r(c) wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.689 * -0.03\nAnswer: -0.02067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56069442 is divided by 149?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 9\/5*m**5 - m - 8\/3*m**3 + 1\/2*m**4 - 3*m**2 - 1 + 2\/3*m**6. Factor f(t).\nAnswer: (t - 1)*(t + 1)**3*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3554180 divided by -530.\nAnswer: 6706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -121, -156, -175, -178?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4032\/5 + -865. Let a = 58 + b. What is the second smallest value in -3, a, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, -4, -3\/8, -0.5, 7 in descending order.\nAnswer: 7, 0.1, -3\/8, -0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s - 39*s - 21 + 19*s.\nAnswer: 3*s - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14583 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9.949243 days?\nAnswer: 14326.90992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1376888 and 872?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6 = -g, 3*g - m + 15 = 4*g. Suppose -3*r = r - g. Suppose -2*n = -7*n - q + 92, 3*q = 2*n - 30. Calculate the highest common divisor of r and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62195293*u**6 - 41469*u**2 - 2*u - 78 wrt u.\nAnswer: -7463435160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 31 - 6 = 0. Let h(k) = -3*k - 2*k + 3*k - p + 3. Let v(m) = m**2 + 5*m. Let s be v(-4). What is h(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29039*l**2 + 29039*l**2 + 5*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.586361 + 3.0863648. Let t = 0.08 - 1.58. Let v = m + t. Round v to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -2*h + 36, 0 = -3*h + 4*r + 44 + 95 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j + 106 - 106.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-165)*-11)\/2 + -24.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3618, -7227, -10814, -14373, -17898?\n\"Answer: z**3 + 5*z**2 - 3631*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than -5460?\nAnswer: -5468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2005 (b) -26 (c) 0.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 6 = 11*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*g - 4*j - 164 = 0, -j = -2*g + 101. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) -1 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09 + -15.91. Let k = 16.08 + t. What is k rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*j - 266*j + 600*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.122 (b) 4\/13 (c) -5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 a when three letters picked without replacement from {g: 6, f: 1, z: 2, a: 2, t: 3, p: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 14*j**2. Let f(h) = -2330*h**2 - 58 + 2438*h**2 + 56. What is x(f(o))?\nAnswer: 163296*o**4 - 6048*o**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 7*f**2 - f - 1. Give u(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 50, 2, -1, -181 in increasing order.\nAnswer: -181, -3, -1, 1, 2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1969*z + 9840. Let f be d(-5). Let r(l) = -51*l + 21. Let m(a) = -5*a + 2. Let g(u) = 21*m(u) - 2*r(u). Let i(w) = -5*w. Give f*g(t) + 4*i(t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/8*(-11)\/55?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 12 + 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/5182768 and 103\/9069844.\nAnswer: 36279376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-8)*((-8)\/16)\/((-10)\/7).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8*h - 175. Let t(i) = -2*i + 35. Let x(m) = 2*c(m) + 11*t(m). Let z be x(7). Let v(w) = w**3 + 6*w**2 - 7*w - 8. Determine v(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v + 5. Let y be (10\/(-14))\/((-7)\/49). Let i(t) = 4*t - 3. Give y*z(b) + 8*i(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35566.\nAnswer: 2, 17783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2519 - -5?\nAnswer: 2523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 minus 186.44212?\nAnswer: -186.35212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -48181, -48116, -48051, -47986, -47921?\n\"Answer: 65*a - 48246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + sqrt(55)\/(sqrt(11) - sqrt(99)).\nAnswer: -sqrt(5)\/2 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 1. Let a be d(-4). Is (-695)\/(-15) + 2\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1267\/5 - 254. What is the third smallest value in 3, d, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 7*x**2 - 2. Let j be q(-7). Let d(b) = -2*b. Calculate the least common multiple of 6 and d(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2, -0.27, 3\/2?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 5 + 5 = 0. Let j(d) be the third derivative of 1\/120*d**6 - 1\/420*d**7 + 4*d**2 + 0*d**5 + 0*d**4 + t + 0*d**3 + 0*d. Factor j(k).\nAnswer: -k**3*(k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*z = -126*z + 174420. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -64442, 5 in ascending order.\nAnswer: -64442, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.3 - 1. Let x = -30 - -30.34. Let o = x - b. What is o rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001772 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 693781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45.034 + 0.034. Let y = t + 45.00065. What is y rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117\/(-312) - (-2)\/(-16).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.199 + -86.199. Let k = -2078.9 - -1998. Let p = k - g. What is p rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.2, 247\/132 in decreasing order.\nAnswer: 247\/132, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -141*l + 134*l. Suppose a - 3680 - 9098 = l. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3354 = -3*p - 0*a - a, 0 = 4*a. Solve p - 1119 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 109. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 19*f + 556 = 15*f, -5*f - 119 = -r. Calculate the remainder when 435 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 658 + -7214\/11. What is the common denominator of n and (21 + -23)*(-516)\/552?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -11 + (-2 - 3) + 82 - -10.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 7:41 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8*c + 12*c + 1 - 9*c - 15*c. Let q = 20 - 16. Calculate s(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 936 and 124020.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*-3*(-4*(sqrt(1900) + 3) + 3)*-2)**2.\nAnswer: 918720*sqrt(19) + 39500161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b + 7. Let h(z) = 5*z + 6. Give -4*c(g) + 5*h(g).\nAnswer: 5*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -10*b + 132. What is the remainder when b is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 6 = c. Is c*(124\/(-6) + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 196222.\nAnswer: 392444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**2 - 29*d - 16. Let b be j(-5). Let i(a) be the second derivative of 1\/7*a**2 - 1\/84*a**b + 0 + 5*a + 1\/42*a**3. Let i(x) = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-885)\/(-81) - -7?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -10. Find the common denominator of 1 - (657\/(-30))\/c and (-1 + (-7)\/(-12))*-10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 - 70.996. Round m to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or 81\/4?\nAnswer: 81\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20.4*2.31\nAnswer: 47.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*g - 0*g. Let f be 5*1*(-13 + 2 - -12). Suppose w - 3 = 2*c + 1, 2*w - 9 = f*c. Sort -4, g, c.\nAnswer: -4, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by (-2)\/(17\/(-8) + 2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 79*s**4 + 2*s**2 + 26*s + 16110 wrt s?\nAnswer: 316*s**3 + 4*s + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/586738 or -1\/217?\nAnswer: -1\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a millisecond in microseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -7*y - 314. Let f = y - -159. Solve -w + z = -2*z + 4, -1 = f*w + z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 minutes before 11:50 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*q**4 - 56*q**3 - 16*q + 34248?\nAnswer: -92*q**3 - 168*q**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59980*n**2*p**2 + n**2*p - n**2 - n*p**2 - p**2 - 1584264*p wrt p.\nAnswer: 119960*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 5*b**2 + 2*b. Let y(w) = 24*w**3 - 150*w**2 - 60*w - 3. What is -90*k(a) - 3*y(a)?\nAnswer: 18*a**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 0*f - 3. Let y(t) = -t**2 + 5*t**2 + 3 - 5*t - 3*t**2. Let c be y(5). Put f, c, 0 in descending order.\nAnswer: c, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -253, -1978, -6609, -15586, -30349?\n\"Answer: -240*w**3 - 13*w**2 - 6*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 5*n + 22 + 13*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 11. Let f(z) = z + 6. What is -11*f(c) + 6*v(c)?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -100 in decreasing order.\nAnswer: 5, 3, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/2863040 and -145\/18.\nAnswer: 25767360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c1ca - -2?\nAnswer: 1c1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/63 and 55\/621.\nAnswer: 4347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v + 4*v + 3*v + 359*v + 128*v + v - 67*v + (-2 + 3 + 0)*(v + 0 + 0).\nAnswer: 423*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.071 - -0.0747. What is s rounded to 4 dps?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.086 - 3.086. What is the closest to -0.13 in -4\/3, 3, -0.07, z?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + f + 10, 48*f - 50*f - 5 = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68354532, -68354531, -68354530, -68354529, -68354528?\nAnswer: -68354527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 10*r - 9. Let b be (10\/4)\/((-2)\/16*2). Calculate p(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 197, 662, 1549, 2996, 5141?\nAnswer: 8122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 6*m - 22*m + m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 60429.02 and 0.081.\nAnswer: 60429.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**3 - 285709238*q**2 + 20407442169635161*q = 0.\nAnswer: 0, 142854619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 8*w - 30. Let u be j(-3). Sort -4, u, -72 in descending order.\nAnswer: u, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 - 25*u**2 + 82*u + 106. Let f be c(-15). Let s(g) be the third derivative of g**6\/30 + g**5\/30 - g**4\/24 + g**2. What is s(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0)\/1*-4. Let h(l) be the second derivative of 2*l - 1\/24*l**y + 1\/4*l**2 + 0 + 1\/40*l**5 - 1\/12*l**3. Solve h(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 5*x**4\/24 - 5*x**3\/3 + 3*x**2. Let w be h(4). Let k = w - 6. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 193*l**2 - 963*l - 10.\nAnswer: (l - 5)*(193*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/1151 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17892939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -22. What is the least common multiple of c and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*((u\/((u*(u*u\/u**(-5))\/u)\/u))\/u)\/u)\/u)\/u**(-5)*u**23\/u**(-3))**(-16) assuming u is positive.\nAnswer: u**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -216*d - 11. Is v(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/167406261 or 0?\nAnswer: 2\/167406261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1912 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, 17, -0.03 in decreasing order.\nAnswer: 17, 3, 0.1, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356*u + 358*u - 34 = -n, u + 1 = 0. Solve 4*m = 2*v - 14, n*v - 3*m = 39*v + 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2680, 3\/38, -1\/5 in increasing order.\nAnswer: -1\/5, 3\/38, 2680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 222, 854, 1894, 3342, 5198?\n\"Answer: 204*o**2 + 20*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008754 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(128)*-6.\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**3 + 3*v**2 + 5*v + 35. Let z(d) = 26*d**3 + 14*d**2 + 22*d + 142. What is 9*y(b) - 2*z(b)?\nAnswer: 2*b**3 - b**2 + b + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54\/146633 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/48 and 103\/996.\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -2. Suppose y*j = -j + 42. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) - 25\/(-14). Let t be (1 - 10\/6)*75\/(-10). Let q = -94\/231 + 4\/33. What is the second smallest value in t, u, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 557.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24013583?\nAnswer: 11, 587, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 92 - 26 = 0. Suppose 3*s - 218 = -5*k, 3*k - 4*k + 202 = 3*s. What is the highest common divisor of m and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 12. Let s = 0 - m. Which is the closest to -2\/3? (a) 2 (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1864 + 3560. Which is greater: 1695 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 - 2*l**4 - l**4 + (-3*l**3 - 3*l**2 + l - l)*(3*l - 4 + 4).\nAnswer: -10*l**4 - 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -4.3317513.\nAnswer: 4.3317513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**4\/12 + c**3\/6 + c**2\/2 + c. Suppose 0*q = -3*q + 12. Suppose q*o = -4*p + 2*o - 16, -5*p - 26 = 4*o. Determine t(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 4:44 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33683 is divided by 4445?\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*c - 4*c + 49, -2*i + 46 = 2*c. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -11\/489?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.77 minus -5?\nAnswer: 7.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-301)\/(14749\/(-1176)))\/((-6)\/10).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86.67 + -11.67. Which is the biggest value? (a) -6 (b) 1\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 1704*i - 1701.\nAnswer: -3*(i + 1)*(i + 567)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 50. Sort q, -3, 28 in decreasing order.\nAnswer: 28, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -1\/4 (b) 0.3 (c) -321\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2056\/(-2570) + 623\/35\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3794 + -22765\/6. What is the closest to w in -5\/3, -4\/9, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/p**24*p*p*p)\/p**(8\/3) assuming p is positive.\nAnswer: p**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115579678*k**2 + 427184040*k.\nAnswer: 231159356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 56305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271774800 to the nearest integer?\nAnswer: 16486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -559, -492, -413, -316, -195, -44?\n\"Answer: q**3 + 60*q - 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -9*b**3 + b**2 + 2*b + 1. What is the units digit of n(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2821143, -2821145, -2821147?\nAnswer: -2821149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 11:28 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21454 and 142.\nAnswer: -3046468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -480.13 - -501. Let z = 24.5 + -3.5. Let j = z - a. Round j to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4\/5 - 6*t**3 - 26*t**2\/5 + 6*t + 28\/5 = 0 for t.\nAnswer: -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 3 + -5 + 5 + 16 + -17 + -8?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 40.41051 millimeters?\nAnswer: 40410510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 - f**5 - f**4)*(3 + 1 - 1)*(11 - 1 + 9).\nAnswer: -57*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 6*n - 26. What is the tens digit of i(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -7. Let f(i) = -3*i + 4. Let l be f(7). Let d = q - l. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 - 6*p**2 + 6*p - 5. Let z be d(3). Solve 33 = 5*j + z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7852 + 7852 + 247*n**2)*(n - 3 + 6 - 6).\nAnswer: 247*n**3 - 741*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-15) + (5 - 5). Which is the nearest to s? (a) 0.3 (b) 4 (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -113, -221, -319, -401, -461?\n\"Answer: a**3 - a**2 - 112*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 649383, 1298770, 1948159, 2597550, 3246943?\nAnswer: 3896338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and 0.18787.\nAnswer: -6.76332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 - 5*p + 3. Let w be v(1). Let i = 0.2 + -0.3. Let j = 0.2 + 0.8. Sort j, w, i in decreasing order.\nAnswer: j, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.52 (b) -3 (c) -0.111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11487, -11420, -11353, -11286, -11219, -11152?\n\"Answer: 67*g - 11554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 9:26 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 11*a - 6*a - 5149 = 0, 0 = -5*a - 5. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10331 - 3?\nAnswer: 10324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417 = 81*l - 310*l + 41 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + -1110?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 5:16 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486455624.\nAnswer: 2, 53, 1147301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 divided by -151174?\nAnswer: -191\/151174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*v**3 + 0 + 58*v**3 + 0.\nAnswer: -134*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74895951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + 5. Let w = 9 + -9. Let q be t(w). Suppose 45 = 5*a - q*u, -a + 14 = -3*u - 5. Let x(d) = 2*d - 6. Give x(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-8) - ((-1017)\/72 - -12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/(-4)*(-9 + (-395)\/(-45)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a - 32 = 4*s, 2*s = -2. Let w = a - 10. Suppose 5*h - 2*k = k, -h + w*k = 17. Calculate the highest common factor of 27 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0 + 4 = 0. Let w be 2\/o*(-4)\/(-4). What is the tens digit of (3 - 2)*w - -24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-3) + -9)*(9 - (-288)\/(-30)).\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 3398313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/11388 and -11\/56940.\nAnswer: 56940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, -2, 1\/7, -3\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209208 = -2*w - 4*m, 5*w - m - 373136 = 149862. What is w rounded to the nearest one thousand?\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/(1 - -4)*(-9)\/12. Let h be (f\/(-18))\/((-3)\/81). Does 23 divide 350 - 1 - (h + 13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4 - 192*v**3 - 649188*v**2 + 31382208*v + 53431151202 = 0. What is v?\nAnswer: -381, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 0*k + 1034 = 9*g + 203, -5*g + 215 = 4*k - 238 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 8. Let h(y) = 9*y + 9. Let c(d) = -22*d - 22. Let t(w) = s*c(w) - 12*h(w). What is t(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -343197 by -3.\nAnswer: 114399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -308, -1.9 in increasing order.\nAnswer: -308, -1.9, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 - -84. Suppose 0 = 3*b - s*u - 294, 5*u - 294 = -0*b - 3*b. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 39*o + 42*o + 124 = 82*o, -2*f - 5*o - 84 = 0 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, t: 5, h: 4, w: 2, o: 4}. What is prob of sequence owoo?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - j, 0*b - 2*j = -3*b - 7. What is the tens digit of b\/((-3)\/(-54)) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 15*a**2 + 4. Let i be l(15). Let b(s) be the first derivative of -2\/3*s**3 + 0*s**i + 1\/5*s**5 + 0*s**2 + s + 4. Factor b(o).\nAnswer: (o - 1)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -43*o - 1928. Determine g(-45).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 778\/8 + (92\/16 - 5). Let l be (-1)\/(-7) + (-112)\/w. What are the prime factors of 138*-5*3*l\/10?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 u when three letters picked without replacement from {w: 2, v: 5, u: 7, l: 4}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**3 - 2*i**2 + 2*i**2 + (-4*i**2 - 3*i**2 + 5*i**2)*(-2*i - 3 + 3))*(-15 + 15 - 26).\nAnswer: 26*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - 37*w**2\/4.\nAnswer: w**2*(w - 37)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1145347 to 3 dps.\nAnswer: 0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from zqzqqpbq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28968, -57674, -86360, -115026, -143672, -172298, -200904?\n\"Answer: 10*y**2 - 28736*y - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.193786256 to three decimal places.\nAnswer: 0.194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103002*f*w**5 - 4*f*w**4 + 34*f - 58*w + 1 wrt w.\nAnswer: -2060040*f*w**3 - 48*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -1 + 85 + -75\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8*z. Calculate a(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -18, 122, 8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4942635*g**3 - 9125405*g**2.\nAnswer: 29655810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10*6\/72*6*1402285\/3379?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 18, 1, 3, -3 in decreasing order.\nAnswer: 18, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15.51388645 from 2.\nAnswer: -13.51388645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 14*b - 1 + 2 + 24*b + 13*b**2 - 40*b. Does 31 divide o(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*b**4 + 36*b**2 - b - 12451.\nAnswer: -96*b**3 + 72*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.55 from 6009.947.\nAnswer: 6013.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*o + 6, 5*i + o = 4*i. Let a be -4 - (1 + (-1 - i)). Let p = 4 + a. Solve -p*n - n = -12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 684712442 or 684712444?\nAnswer: 684712442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 31 = -5*o, -3*o - 13 = -592*u + 591*u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*o + b + 193, 5*b + 15 = 0. Calculate the least common multiple of o and 18.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -37.\nAnswer: 5\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -524579, -524515, -524451, -524387, -524323, -524259?\n\"Answer: 64*q - 524643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4040332141 (base 5) in base 11?\nAnswer: 4658120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 671.5 - 671. Let r = 0.27 + 0.03. Let d = -0.1 + r. Which is the biggest value? (a) 5 (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 32*h**2 + 312*h + 324. Give s(40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 361.857 rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 480*n**2 - 3*n. Let y(r) = -11*r**2 - 123. Let p(u) = -25*u**2 - 287. Let x(t) = -6*p(t) + 14*y(t). Give f(x(z)).\nAnswer: 7680*z**4 + 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/93 and -51\/217?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1656 divide 37458720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, x: 1, w: 5, t: 6, m: 1}. Give prob of picking 1 s and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26057082 and -5?\nAnswer: 130285410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125384714 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172283 is divided by 187?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**3 + n**2 + 4*n - 4. Let z be p(-2). Let u be (z + -12)*(-2)\/(-6). Let l be (-2)\/3*(-18)\/4. Sort l, 1\/5, u in ascending order.\nAnswer: 1\/5, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 + -101. Let p = -163.3 - -219. Let i = p + b. What is the third smallest value in 2\/5, -12, i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4 + 12. Suppose q*l = -2*g - 48, 3*g - 102 = 7*g + 2*l. Are g and -25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 5 - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4556 - 4625) + 99 + -2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 284 in 3, -0.2, 4\/3, -4\/17, -24?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -16*h**2 - 10*h - 10. Let k(u) = -11*u**2 - 7*u - 7. Let c(x) = 7*j(x) - 10*k(x). Let y(m) = -311*m. Calculate c(y(n)).\nAnswer: -193442*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 784373266?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 21*i - 102. Let j be d(5). Calculate the highest common factor of j and 231.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*u = -36*u + 152. Which is the nearest to -3? (a) -2\/9 (b) u (c) 0 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {k: 1, c: 1, r: 1, s: 1, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8*g + 4. Let x(y) = 3*y. Calculate -s(n) - 2*x(n).\nAnswer: 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1458930 divided by 729465\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 3*k**2 + 200*k - 151. Calculate w(0).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/5*(-10)\/(-4). Suppose -3*d - 23 = -2*f, -3*d - 6 - 1 = 2*f. Suppose -f = -y + o. Is y >= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/103*4626\/(-37008).\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slslhsrrshixxx. What is prob of picking 2 s, 1 l, and 1 r?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 1506510.\nAnswer: 6026040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02086 rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - 5) + 140\/6. Let s = v + -24. Let j be (-4)\/14 - (-18)\/14. Which is bigger: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -f + 6*f + 4*j, -2*f - 4*j = 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220 = 13*m - 123*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (795150\/180)\/(3\/400). Round b to the nearest 10000.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99463313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5233659 and 430?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12, 22, 5, -17, -5 in decreasing order.\nAnswer: 22, 5, 0, -5, -12, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 26*u**2 + 17*u - 3. Is x(-23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -4424122250812.\nAnswer: -4424122250807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76742119, -153484238, -230226357, -306968476, -383710595, -460452714?\nAnswer: -537194833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 8*y**2 + 2*y + 19. Calculate k(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19830451.\nAnswer: 281, 70571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*j**2 - 2*j**2 + j**2 - j + (-2*j + 2*j + 4*j)*(-7*j - 2*j + 3*j).\nAnswer: -32*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -20131?\nAnswer: 20123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27672, 54098, 80524, 106950, 133376?\n\"Answer: 26426*q + 1246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 6*j**2 - 7*j + 7. Let p be y(5). Let r be 4\/6 - 64\/p. Suppose -u = 3*s - 120 - r, 0 = 4*s - 3*u - 185. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 3259\/180?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -108 (base 9) to base 10\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -62. Let v be ((-5)\/((-70)\/(-3)))\/(9\/c). Put v, 1, 0, -6 in increasing order.\nAnswer: -6, v, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggffggwgnugggnfghgfg. Give prob of picking 1 h, 1 u, and 2 g.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13784399 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 181.7072397 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1798426 (base 11) to base 14.\nAnswer: 59278b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 373562610?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssnnsggsssgsgksg. What is prob of picking 2 g?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4\/9 - 14234*p**3\/9 - 992108*p**2\/9 + 3161264*p\/9 + 459904 = 0. Calculate p.\nAnswer: -72, -1, 4, 7186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-6))\/(29\/(174\/20)). Let c = -352 + 1057\/3. Put c, -28, y in descending order.\nAnswer: c, y, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*k**2 - 50119*k*s - 2*k - 130252*s wrt k.\nAnswer: 8*k - 50119*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*((0 + 4 - 1)*(-4 + 5 - 4) + 5 - 2 - 1)*(-6*h - 83*h**4 + 85*h**4 - h).\nAnswer: -14*h**4 + 49*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -16*q + 1. Let x(t) = -t**2 + 11*t - 26. Let p be x(8). Let l be z(p). Let u = l - 30. Solve -u*n + 4*n + 5 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0.3. Let l = -0.41 + 0.771. Let k = l + -0.261. Sort k, 0.3, n in increasing order.\nAnswer: n, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 4*p + 1255. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + 21*t - 32. Let c be v(-12). Let w(u) = -u - 2. Let f be w(0). Let r = 2 + f. Solve -7*o = -2*o + 5*h - 30, r = -5*o - c*h + 25 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12682765 times -0.02?\nAnswer: -253655.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42.8 - 59. Let z = c + 15.5. Let j be -1 + (-1 - -2) - 0. What is the nearest to j in 0.4, z, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -256.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21561, -42979, -64397, -85815, -107233, -128651?\n\"Answer: -21418*b - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 502973, 1005933, 1508893?\n\"Answer: 502960*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -6. Calculate the common denominator of 77\/20 and (-2583)\/(-2340) - p\/(-13).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 2\/(-3)*9\/2. Let h be (-1 - -1)\/(6 - 8). Solve h = -u*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 0.13745607.\nAnswer: -3.86254393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/9 + 0)*3. Suppose 0 = 4*k + c - 21. What are the prime factors of 2\/k - (-116)\/10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328*b - 551*b + 289*b.\nAnswer: 66*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5076078767 to the power of 1\/3, to the nearest integer?\nAnswer: 1719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 128.330551 to the nearest integer.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/9 + 2*o - 911944\/9.\nAnswer: (o - 946)*(o + 964)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46202750?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24191 is divided by 24129?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2 - 0. Suppose 5*a - a = 4. Suppose m = -a - 2. Put 5, r, m in ascending order.\nAnswer: m, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 50, 57, 80, 125, 198, 305, 452?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1293.6 + -1293.5. What is the closest to r in -4, -3, 48, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 7*t - 1. Suppose -3*v - 12 = -0*v. Let w be 8 - (v\/2 - -4). Does 13 divide u(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**2 + 500*j - 84. Let l(g) = 7*g**2 - 750*g + 120. Let w(i) = 7*l(i) + 10*t(i). Factor w(u).\nAnswer: -u*(u + 250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*-5.0866\nAnswer: -30.5196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 1707 - 825 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*-1*(-3)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 94*v**2 + 53 + 84*v**2 - 374*v**2 + 77*v**2 + 94*v**2.\nAnswer: -25*v**2 - 2*v + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/6 - (-39)\/18. Suppose -u + 12 = -0*w - 5*w, 2*w = g*u - 24. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53036108.\nAnswer: 2, 97, 136691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 9*q + 38. Let p be 13 - ((-156)\/(-6) - 1). What is j(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-50)\/(-100)*(-1 - 1\/1). Is 2\/391 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(65) + 2*sqrt(65)*3 - 1*sqrt(65)*5))\/((sqrt(45)*-2 - 6*sqrt(10)\/sqrt(2))*2).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x - 6 = -24*x. What is the smallest common multiple of 14 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqquwuqoqwwuq. What is prob of sequence uu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 6 = 3*f. Let c(k) = 2 - 2 + 2*k**f + 0 - 1 - 3*k**3. Suppose i - 4 = 3*o + 10, 5*i - 15 = 4*o. Determine c(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 1. Solve 0 = 5*x + 5*b + 5, h*b + 31 = 5*x + 4*b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(5)*-1*-6 + (sqrt(405) - 1*sqrt(405)))*2*4.\nAnswer: 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2\/7))**(-22))**45\/(g**(1\/4)*(g*g**5)\/g*g*(g**1)**(-5\/7)) assuming g is positive.\nAnswer: g**(-35795\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2490712 divided by -177908?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4072.5 minus 6.155?\nAnswer: 4066.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 6*p + 22771868. Suppose 22246876 = 3*q - p. Round q to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -418, -832, -1246, -1660?\n\"Answer: -414*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5214969.\nAnswer: 3, 193147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-3.006738.\nAnswer: 9.020214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10096\/907 smaller than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5695 divided by -1139?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2382522, -4765042, -7147562, -9530082, -11912602?\nAnswer: -14295122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -126, -289, -516, -807, -1162?\nAnswer: -1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2, 4, 7, 1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -47*j**7\/42 + 85*j**3\/2 - 3*j**2 - 3. Differentiate n(i) wrt i.\nAnswer: -940*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4844912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 373, -1, -1051, -2783, -5203, -8317?\n\"Answer: -t**3 - 332*t**2 + 629*t + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*s + 20, -6*l + l + s + 28 = 0. Let y(h) = 372000*h. Let t be y(l). What is t rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 888.56 from 0.1.\nAnswer: -888.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -14*p + 91. Let i be n(7). Let z(v) = 12*v**2 + 16*v + 18. List the prime factors of z(i).\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115370 and 25854.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1 = -4*d - 87, 3*g - 5*d = -34. Let y be ((-4)\/(-6))\/(-3 - 60\/g). Suppose -8*m = r - 3*m + y, -3*m = -3*r + 66. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107 + 101. Let h be (-22)\/b - ((-3)\/9 + 0). Solve h*w - 8*w = -12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - 3*b - 4*b - 12*b in the form u*b + x and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1001211011111?\nAnswer: 1001211011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4 = 3*v - 6, b + 10 = -5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/(-124))\/(22*82\/1760).\nAnswer: -10\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*s**3 - 2*s**2 - 24751*s + 281002 wrt s.\nAnswer: -36*s**2 - 4*s - 24751","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 0 + 0*j**5 + 10*j - 1\/10*j**6 + 0*j**4 + 0*j**3 - 2*j**2. Differentiate u(s) wrt s.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbnbbbbnbbbbbb. What is prob of sequence nn?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1*(-3 + sqrt(11) + sqrt(99)\/sqrt(36)) - (-1*sqrt(110)*-1 - sqrt(110))\/(4*(sqrt(10) + sqrt(40)\/sqrt(4)))))*2.\nAnswer: 2 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7661753 (base 10) in base 4?\nAnswer: -131032202321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/15520 and -93\/36860?\nAnswer: 294880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 92 (b) 0.1 (c) -421 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.03, -4\/13 in increasing order.\nAnswer: -4\/13, 0.03, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3430?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 25*m**2 + 6784*m + 15913. Determine b(-269).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*t = -66, 3*x - 2*t - 73 = -11. Let i = -79 + 81. Calculate the greatest common divisor of i and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 - 3*f**3 + 2*f**3 - 4*f + 0*f**2 + 3. Let a be h(-5). Calculate the greatest common divisor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 12:12 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 0.4, 2.43, -1, 3, 3\/2, 40\/9?\nAnswer: 2.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 - 9*h + 13*h - 3*h - h**2 in the form b*h + a*h**2 + p + d*h**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 44*x**2.\nAnswer: -2*x**2*(x + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -219*h**3*y + 4*h**3 - h**2*y - 2*h**2 - 52*h*y + 37104*h + 2*y wrt y?\nAnswer: -219*h**3 - h**2 - 52*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h**2 - 4*h - 4. Let g be 120\/75*(-35)\/14. Let i(d) = 176*d**2 + 99*d + 99. Calculate g*i(w) - 99*r(w).\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/3 - 8974*x**3 + 182753269*x**2\/3 - 6976154276*x + 604310335876\/3.\nAnswer: (x - 13403)**2*(x - 58)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/6 - 79*x\/6 - 445\/3.\nAnswer: (x - 89)*(x + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 295.549 and -3.3?\nAnswer: -975.3117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i - 3*k + 3 = 0, -35 = -5*i + 5*k. What is the second derivative of -16*s**2 + 221*s**3 - 81*s**4 + 14*s**2 - 221*s**i - 36*s wrt s?\nAnswer: -972*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 272 - 147. Does 25 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4371*x + 4345*x - 324245 - 388106 = -206823 for x.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5))**(-42)\/(q**0*q**0\/q) assuming q is positive.\nAnswer: q**(89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(-v**2 + 0*v**2 + 3*v**2)*(0*v**2 - v**2 + 0*v**2 + (3*v - 4*v - 3*v)*(-3*v - 2 + 2) - 7*v**2 - 60 + 60).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c2476 + -2?\nAnswer: 3c2474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**5 - 13*p**2 + 23*p + 12 wrt p.\nAnswer: 60*p**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -61*w - 145. Give r(-3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 21. Suppose -2*t + p = -24, -4*t - 6*p + 58 = -3*p. Let k be a(t). What is the second derivative of 2*s - k*s - 9*s**3 + 4*s wrt s?\nAnswer: -54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/4 + 2\/4. Let r = 5 + q. Suppose 0 = 3*x - 2*g - 2 + 6, 5*x + 2*g - 20 = 0. Is r not equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -871 divided by 7?\nAnswer: -871\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 2121?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*i**2 - 39*i**2 - 167*i**2 as l*i**2 + u + f*i and give l.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1239\/(-295))\/((-98)\/35)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1 - 5 = 0, 5*k + n = 12. What is the second derivative of k*v - 2*v**5 - 3*v**5 + 3*v**5 - 5*v wrt v?\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31767 is divided by 94.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u - 18*u + 10. What is the derivative of 4 + u*q**3 + 1 + 6 - 5*q**3 wrt q?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuutuuuuuuuututuu. What is prob of picking 2 t?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*h - 8. Suppose h*x - 2*l = 4*x - 14, 2*x + 5*l = 29. What is the second derivative of 3*p - x*p**2 + 2*p - 20*p**2 + 3*p wrt p?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2050 divided by 50?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-112)*(-55)\/(-33) - (-174)\/(-21).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/7)*j\/(j*j**(2\/25)*j*j)*j**(3\/8)*j\/(j*j\/((j**(2\/13)\/j)\/j*j))*j assuming j is positive.\nAnswer: j**(-41231\/18200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17634 - 2005?\nAnswer: 15627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 - 6*l + 3. Determine j(4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + (-2 + sqrt(720)*-5 - sqrt(720)) + sqrt(720) + -3)*4)**2 + -5.\nAnswer: 7680*sqrt(5) + 184715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -1130156?\nAnswer: 1130152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -47. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {o: 3, s: 2, r: 1, v: 4, x: 2, l: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-7 - -5) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**3\/3 + 23*i**2\/2 + 9*i. Let s be z(-10). Suppose w - 54 = 2*v, 3*w + s*v + 191 = 7*w. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g. Let m(o) = -o**3 - 2*o**2 + 4. Let z(f) = -f**2 - f. Let w(p) = -m(p) - 4*z(p). Let l be w(-5). Let v(u) = l - 1 + u + 0. Give v(s(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -333511 + 543511. What is a rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 - 2*v - 2*v**2 + 6*v + 0*v**2 + 2. What are the prime factors of x(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.16 less than -1035657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -2) + 5 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -1. Suppose x*c - 4*d = 2*c + 20, 3*d + 15 = c. Solve -3*t + 6*t = c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jttm. What is prob of sequence tjtj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rp when two letters picked without replacement from grgggrzrpzgdgp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 + (5 - 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53 and -0.07.\nAnswer: 3.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021644 to five decimal places.\nAnswer: -0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*s**2 - 59*s**2 + 118*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 5, -2\/47?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 = 2*z, -7*z + 3*z - 5*l = -18. Let d(g) = -g**3 - 13*g**2 - g + 3. Let w be d(-13). Suppose -w*n + 236 - 44 = 0. Solve -n = 2*u - z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 44?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0927231mm to kilometers.\nAnswer: 0.0000000927231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*c + 5*a + 24, -3*c + 3*a = 0. What is the third biggest value in 22, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/144)\/(3\/9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 201800*b**2 + 244555?\nAnswer: 403600*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 2602?\nAnswer: 2611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/10)\/t*t*t)\/(t*t*t**(-19))*t**27*t**(-1\/5))**40 assuming t is positive.\nAnswer: t**1788","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**2 + 204*b - 143. Give j(-41).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/7*-2 + 144\/(-14). Is 66 - 0\/(a*(-1)\/2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 9:39 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/33 - 6\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -2*g**3\/3 - 13*g**2\/2 + 7*g + 9. Let f be q(-7). Which is smaller: f or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -28067*i. Let g(q) = 1970*q**2. Give l(g(t)).\nAnswer: -55291990*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380, -425, -480, -551, -644, -765, -920, -1115?\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 563, 8706, 30795, 73802, 144699?\n\"Answer: 1162*y**3 + y**2 + 6*y - 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 4. Let o be k(30). What is the common denominator of 1596\/323*6\/o and 61\/16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2392165 divided by -6\nAnswer: -2392165\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5070.8322 milliseconds to weeks.\nAnswer: 0.0000083843125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 0.4, 1, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 times -121439?\nAnswer: 2428780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 221104?\nAnswer: 221110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -918 + 929. Solve -4*j + 22 = 3*o - 8*o, -d = -j + 4*o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1, -3, 2, -2\/9, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**3\/3 + 4*i**2 + 2*i - 1. Let f be a(-7). Is 13\/(-3)*f*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5994 and 48?\nAnswer: 47952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3248049, 3248419, 3249041, 3249921, 3251065, 3252479, 3254169?\nAnswer: 3256141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 3 + sqrt(13) - sqrt(13)) + -5 + 2 + sqrt(13))**2.\nAnswer: -6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 3639524.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -277*l - 948. What is r(-6)?\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32103211 (base 4) to base 2.\nAnswer: -1110010011100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33697 is divided by 16845?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, n: 1, m: 1, l: 2, r: 1, h: 3}. Give prob of sequence ll.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45631 is divided by 14162.\nAnswer: 3145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**4\/24 + 25*u**2\/2 + 46. Let h(l) be the second derivative of w(l). Let k(p) = -4*p**2. What is k(h(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 29 - 32 - (-20 + 13). Factor 0 + 6*t**3 + 0*t - 2\/3*t**2 - 27\/2*t**q.\nAnswer: -t**2*(9*t - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355496860 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*f*k*x**2 - 20*f*k*x + 33*f*x**2 + 3*f*x + 16*k*x**2 + 311*x**3 + 603*x + 21 wrt x?\nAnswer: 26*f*k + 66*f + 32*k + 1866*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwj when three letters picked without replacement from {j: 4, w: 7}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 244196c - 4?\nAnswer: 2441968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -50042 (base 7) to base 9\nAnswer: -17452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p = -20*p - 2*z - 57071, p = -3*z + 11421. What are the prime factors of p?\nAnswer: 3, 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2))\/((-112)\/14)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/22 + (-1)\/55)\/((-2)\/50). Suppose o - t = -2, -4*o - 3*t = -0*o - 27. Solve o*p = -1 - x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**3 + 5*v**3 + 5*v**5 + (4*v - 2*v - 3*v)*(-2*v**4 + 5*v**4 - v**4) + (-v**3 + 0 + 0)*(0*v**2 - 2*v**2 + 4*v**2).\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**2 - 4*f**4 + 5*f**2 + 11*f - 3*f**3 + 4*f**3 to the form s*f**2 + g*f**3 + j + r*f**4 + o*f and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.512 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 16422 = 3*z, -5*z + 5*a + 1804 = -25536. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6852922 months in millennia?\nAnswer: 0.00022377435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**3 - 2*j**2 - j + 24. Let o be f(-5). Find the common denominator of 1375\/o - 2\/3 and 75\/44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -138*v**3 + v**2 - 1. Suppose 2*t + 2*t + 4 = 0. Let f be a(t). Suppose -f = -4*b - 2*r - r, 0 = 5*b + 2*r - 169. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31211641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.593333 microseconds to milliseconds.\nAnswer: 0.001593333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 47 (b) 2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 706, -2\/5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -109*v - 330. Does 12 divide y(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/14 and -101\/7956.\nAnswer: 55692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.13 + 0.28. Let r = s - 4.15. What is the closest to -11 in r, -2\/5, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40609 is divided by 1766?\nAnswer: 1757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26376, -105841, -238398, -424053, -662812, -954681?\nAnswer: -1299666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -3*i**5\/5 - 115*i**4\/2 - 2177*i**3\/3 - 615. What is the third derivative of x(u) wrt u?\nAnswer: -72*u - 1380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -725 by 523926.\nAnswer: -725\/523926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27 + -2634?\nAnswer: -2607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010652 rounded to five decimal places?\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -0.2, -3, 29 in ascending order.\nAnswer: -3, -0.2, -0.08, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -5*v - 6, 2*q = v + 2 - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3231 (base 4) to base 14\nAnswer: 12d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3292 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -306*l - 1240. Determine m(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-2)\/(-7))*(-280)\/(-490). Let s(p) = 64 - 64 - 6*p**2 + 21*p**y - 4*p. What is the units digit of s(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 26*o - 28*o - 2, -3*g - 3 = -o. Let q(u) = 3*u + 3. Let z(a) = a + 1. Let d(p) = -4*q(p) + 9*z(p). Let l(f) = -f. Determine g*d(t) + 5*l(t).\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-12)*j\/((((j**27\/j)\/j)\/j*j*j)\/j)*j assuming j is positive.\nAnswer: j**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122 - -310. Suppose j - z = -h, h - 120 = 5*j + 98. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/18 and -119\/4540?\nAnswer: 40860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 5:10 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 110124 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 6*k + 5. Let l be u(5). Suppose l = -3*o + 3*g + 6, 2*g + 5 = -o + 1. Sort -2, -2\/9, o in descending order.\nAnswer: o, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 2:53 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*d + 358, 2*d + 2*v + 202 = -d. Calculate the common denominator of (-44)\/50*(-85)\/(-119)*14 and 5\/(-25) + 136\/d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + 2*f**2 - 3*f**2)*(0*f + f + 3*f) - 3*f**3 + 3*f**3 - 2*f**3 + (0*f - f**2 + 0*f)*(-3*f + 4*f + f) - 5*f**3 + 3*f**3 + 3*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437780?\nAnswer: 2, 5, 7, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Let g = 38 + -42. Sort g, r, 2 in decreasing order.\nAnswer: 2, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (246\/(-9) - 0)\/(9\/27). Let q = 168 + o. Does 43 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 7013*i**5\/5 - 2697*i**2\/2 - 3428. What is the second derivative of x(p) wrt p?\nAnswer: 84156*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1131 + 1143. What is the highest common divisor of w and 3832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1749 - 6) + 5\/((-10)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.9 - -11. Sort -0.4, 4, u.\nAnswer: -0.4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*m**2 - 3)*((-m + 2*m + 5*m)*(-2 + 3 + 1) - 2*m + 0*m + m).\nAnswer: 22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/104 and -6\/307.\nAnswer: 31928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117168795?\nAnswer: 3, 5, 449, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 13*r**2)*(14*r + 41 - 41)*(0*r + 2*r - 4*r) + r**4 + 2*r**4 + 0*r**4 + 5*r**2 - 3*r**4 - 5*r**2.\nAnswer: 364*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 18*q - 19*q = -999, 3*q + 3 = 0. Round v to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-64)\/6 + 4\/6. Suppose -i + 5*k - 10 - 20 = 0, -66 = 5*i - 4*k. Let m = w - i. Which is the nearest to -0.1? (a) -0.07 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16475251 + -105?\nAnswer: 16475144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.105 - -4.105. Let o = -3.6 - -7.8. Let n = o - y. Which is the third smallest value? (a) -1\/2 (b) n (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*h**3*p**2 - 464*h**3 - 24*h*p**3 wrt p.\nAnswer: -24*h**3*p - 72*h*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 12:55 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 1093*v**5\/20 + 1591*v**2\/2 + 1788*v. What is the first derivative of i(t) wrt t?\nAnswer: 3279*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 18*q**2 + 21. Calculate p(-18).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = -3*y + 98. What is the common denominator of 41\/4 and (7*y\/(-42))\/((-8)\/(-146))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/b**(5\/4)*b**(1\/3)*(b*((b**(-2\/3)\/b)\/b)\/b)\/b*b**(-2\/13) assuming b is positive.\nAnswer: b**(-427\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583934.\nAnswer: 2, 13, 37, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19429669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475*c + 140*c - 215*c - 3*c**2 + 14*c**2 + 188*c.\nAnswer: 11*c**2 + 588*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540\/(-210)*(-28)\/18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 468*d + 110 + 471*d - 940*d - 145.\nAnswer: -d - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/408 and -21\/279344?\nAnswer: 838032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 559 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 2:35 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, f: 3, a: 2, w: 5}. What is prob of sequence iai?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -22. What is the third biggest value in q, -2\/17, -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-3) + (-4511)\/(-39)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.1, 80.7, -1840?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 293 and 1022863?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*k - 57*k + 44 = 0. Suppose -k*y + 6*y = -80. Suppose 3*v + 29 = 4*v. What is the remainder when v is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 458 - 634 = -7*s. Calculate the least common multiple of 78 and s.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45807, -45789, -45771, -45753?\nAnswer: -45735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 7737?\nAnswer: -7736.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(2304) - sqrt(36)).\nAnswer: sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.038, -2\/17, -0.1, 5, 1, -4 in descending order.\nAnswer: 5, 1, -0.1, -2\/17, -3.038, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - (-46)\/(-8))*(-6)\/297. Let l(d) be the second derivative of 4*d + 1\/11*d**3 + 0 - q*d**4 - 2\/11*d**2. Suppose l(p) = 0. Calculate p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = i + 175, -2*f + i + 218 = 3*f. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 64*g**2 + 29*g + 28. What is i(-1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1159*j = -1150*j - 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x. Let m be (-1)\/(-2 + 3 - 2). Let f be 15\/(-5)*232\/348. Let d(t) = -t. Calculate f*o(c) + m*d(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431*d**3 - 314*d**3 - 116*d**3.\nAnswer: -861*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 - 3*r - 4. Let s = 10 - 7. Calculate the smallest common multiple of s\/(-15) - 21\/(-5) and q(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5556555 and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9511 - -16353. Does 29 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 42 = -5*a, -3*a + 2*w + 31 = -2*w. What is the remainder when 31 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*i + 1035 = 7944 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 6. Let k be c(5). Let u be k + -2 + 0 + 21. Suppose -s - u = -2*h, 3*h - 3*s + 13 = 46. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1140411 - 1332131?\nAnswer: -3023042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(308) + sqrt(308) + sqrt(308)*-1*-4)\/((sqrt(110)\/sqrt(2))\/sqrt(5)))**2*-6*-2.\nAnswer: 12096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 20 = 3*h + 2*h, -5*l = -3*h - 4. Let o(p) = -2*p**2 + 0*p**l - 3*p**2 - 4*p**2 + p. Determine o(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4751 + -4798. Is t at least as big as -532\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 26 - 164 = 0. Let a = -81 + w. Suppose -a + 191 = k. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v**2 - 9*v + 9. Let t be n(1). Suppose -4*f - 3 = -f. Sort 5\/2, t, -0.4, f in decreasing order.\nAnswer: 5\/2, -0.4, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9925, -9953, -9971, -9973, -9953?\n\"Answer: q**3 - q**2 - 32*q - 9893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 461 divided by -1416\nAnswer: -461\/1416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -142?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -495, -665, -907, -1209, -1559, -1945?\nAnswer: -2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i + 1537 - 1312 = 0 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 26 = -82. Solve 0 = i*g + 4, -5*j + 5*g = -4*j - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (1 - (-44)\/2). Suppose 2*p - 94 = -4*m - 0*p, -3*m + p + 78 = 0. Calculate the greatest common factor of m and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 277407 and 96.\nAnswer: 8877024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 196553 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4*m + 8*k + 273 = 0, 148*k = -2*m + 147*k - 78 for m.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 1297*c = 1300*c + 27, 80*d + 2*c + 564 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/11 + 36*u**3\/11 + 144*u**2\/11.\nAnswer: 2*u**2*(u + 6)*(u + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1880652 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-4)*9\/(27\/(-116)). Suppose 0 = 2*b - 216 - y. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28900 divided by -5.\nAnswer: -5780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 - 41*i**2 + 19*i + 26. Let x be g(20). Suppose 1057 + 407 = x*q. What is the least common multiple of q and 8?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -535000 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, j: 10}. Give prob of sequence djj.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9682784, -9682782, -9682780, -9682778, -9682776?\nAnswer: -9682774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**5 - 3*d**4 + 2*d**2. Let b(g) = g**5 + g**4 - g**2. Suppose 0 = -2*y - 8 - 4. Let s(w) = y*b(w) - i(w). Find t such that s(t) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/3)\/(2\/10). Let d = -2 - k. Let s(f) = -6 - d + f + 6. What is s(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 995*o**3 + 17*o**2 + 17*o + 17. Let c(m) = 166*m**3 + 3*m**2 + 3*m + 3. Calculate 34*c(p) - 6*y(p).\nAnswer: -326*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 - -87. Suppose -15 = -8*l + b. Suppose -3*u - 4*k + 994 = -1, 694 = 2*u - l*k. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + -20 - (-20 + -6). Solve r*s - 5*q + 2*q + 19 = 0, 0 = -5*s - 2*q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/420)\/(6\/15).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 480 - 262. Calculate the lowest common multiple of g\/12 - (-7)\/(-42) and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 753?\nAnswer: 19\/753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 10:07 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/712 at least -187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18754689 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1308954 divided by -149?\nAnswer: 1308954\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 9, 55, 139, 273?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*v - 160, 4*b - 4*v + 342 - 18 = 0. Let c = b - -83. Sort -3, -2, -4, c in decreasing order.\nAnswer: c, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2253377 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13048 (base 11) in base 14?\nAnswer: -6b4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3224\/75 + 134\/3. Let b = -103\/2 + 57. Find the common denominator of c and b.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 70*d = 69*d + 2176, -h + 712 = -3*d. Let p = h + -750. Which is bigger: p or -27?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 4, -0.03, -4 in decreasing order.\nAnswer: 4, 3\/4, -0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2617462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 2. Let n = 8 + -8. Suppose n = b + 5*u - 9, -2*b = u - 1 - 17. What is the tens digit of d(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716119 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x = 5741281 - 1310001. Round x to the nearest 1000.\nAnswer: 158000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6936836 and 2532?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2282 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/60 and 119\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apirirppa. What is prob of sequence aari?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 153547825*p**3 + 54354*p**2 + 43*p + 4?\nAnswer: 921286950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 54, 39, 8, -45, -126, -241?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 + 2*x**2 - 4*x**2)*(-26 + 4 - 1) + x**2 - 4*x**2 + 0*x**2.\nAnswer: -49*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000223866 to 6 dps.\nAnswer: 0.000224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -523*z**2 - 95. Let w(l) = l. Give p(w(h)).\nAnswer: -1046*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64273223?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2.74*0.1\nAnswer: 0.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1106 by -41.\nAnswer: 1106\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (54\/(-594))\/((-1)\/(-2)). Put -4, a, -0.03, 0.017, -1 in increasing order.\nAnswer: -4, -1, a, -0.03, 0.017","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1833131\/90 + 20367. Find the common denominator of p and -37\/310.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-153))\/((-4379)\/(-174) + -26).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -4.6. Let i = -121.5 - -100. Let p = 22 + i. Which is the third smallest value? (a) f (b) 2\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126303592021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 1166450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 0*g**3 + 0 + 0*g + 0*g**6 + 0*g**5 - 35\/24*g**4 - 41\/336*g**8 + 0*g**7 + 63*g**2. Find the second derivative of s(n) wrt n.\nAnswer: -820*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + 1*-4*((sqrt(13) - (sqrt(325)*1 + sqrt(325))) + (-3 + sqrt(1300) - sqrt(1300))))**2*-6.\nAnswer: -101814 - 4752*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.04585518 rounded to one decimal place?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 + -45. Suppose r - 15 = g*p, 5*p - 2*p = -2*r + 63. Sort 1, -4, r.\nAnswer: -4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v - 285 = -233 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1036795849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 37 + (0 + 0 + 15 - 1) + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8302 - -174281\/21. What is the common denominator of n and 37099\/4278 - 2\/12 - 8?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -81 - 81. Let d = a - 32. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -154*t**3\/3 - 4724*t**2 - 222128*t\/3 - 1920 = 0.\nAnswer: -72, -20, -2\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 954 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 192*m - 1327. Let a be g(8). Suppose -2*o - 6 + 44 = 0. What is the highest common factor of a and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1017703?\nAnswer: 1017703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (9 - 438\/27)*1\/(-4) and 41\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o + 32*o**3 + 29*o**2 - 20*o**3 - 29*o**2 - 11*o**3.\nAnswer: o**3 - 23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/19 + 1426*f**3\/19 + 354486*f**2\/19 + 37445302*f\/19 + 1438778240\/19 = 0.\nAnswer: -320, -131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**20\/(a\/a**(4\/7))*(a\/a**(-2\/37))\/a**23 assuming a is positive.\nAnswer: a**(-615\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1242*u**3 + 196*u**3 - 446*u**3)*(4 - 1 - 4)*(-4*u**2 - 1 + 1).\nAnswer: -5968*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -2*r - 3*r. Let t be (20 - r)*(-1 - -19). Round t to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 8 = -32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2377.23141 to the nearest 10.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x**2 - 8*x + 4*x - 2*x**2 + 4*x.\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7641)\/2160 - -4) + (-4)\/10?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1737 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 46*q + 47*q - 94*q - 309 + 308. What is g(-15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18.5 and -0.4.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-54)\/9)\/(-126))\/((-2)\/36)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/80 and (-154)\/10*100\/(-350)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -41 + -8?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 106797419*u - 68732709 wrt u.\nAnswer: 106797419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*g - 63*g + 253*g - 61*g - 68*g - 6632*g**2.\nAnswer: -6632*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 50?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.51177l in millilitres?\nAnswer: 61511.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -121 + 127. What is the remainder when 112 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7634048 is divided by 848205.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -20111?\nAnswer: -20110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 422, 832, 1232, 1616, 1978, 2312, 2612?\n\"Answer: -j**3 + j**2 + 414*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2))**(5\/13)*(q**(-2\/3)*q)**45)\/(q*q\/(q**7*q)*q**(-2))**(-3\/7) assuming q is positive.\nAnswer: q**(2141\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2599 and 1?\nAnswer: 2600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -280*c**2 + 13*c + 14. Let s be r(-1). What is the closest to 2 in -5\/6, s, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1056 + -1061.51. Let l = p + 0.01. Let g = l - -6.74. What is g rounded to 1 decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 = 1490*z - 1517*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 u, and 1 h when four letters picked without replacement from itthhtthfhhutfffhfu?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38532584?\nAnswer: 2, 83, 58031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/6)*a*a**(-6))**(-20))**(-47) assuming a is positive.\nAnswer: a**(-10810\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49369 + 291219 = -4830*o + 1263*o - 32809 for o.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124519230 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*d - 10*d + 13*d - 2*d - 6*d + 2*d + (-2 + 2 + 3)*(0*d + d - 3*d))*(3*d - 2*d + 2*d) as h + f*d**2 + k*d and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/702 and 13\/118.\nAnswer: 41418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30234?\nAnswer: 2, 3, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11\/7*c - 6\/7 - 3\/7*c**2 = 0 for c.\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 4. Let g be u(0). Let w be 2\/g - (-1016)\/16. Let z = -11 + w. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + 0 - sqrt(343))*-2 + 1 - (sqrt(343)*-1*4 + sqrt(343) + -4))**2.\nAnswer: 210*sqrt(7) + 3112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 165 + 2*k + 165.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 179763 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*z - 4*l - 24, 5*z - 40 = -l. Find the second derivative of -2*g - g**4 + 15*g - z*g**4 + 6*g wrt g.\nAnswer: -108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -35610?\nAnswer: 35610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -144 (c) -98 (d) 58\/5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 2*z + 4, 0 = -z + 6*m - 635 + 603 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1767 is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**2 + 50160*x + 125801280 = 0. What is x?\nAnswer: -5016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:28 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 189 = -21*g. What is the third derivative of 15*w**2 + g*w**6 + 10*w**6 + 17*w**2 wrt w?\nAnswer: 3720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 - 204. Let x = -118.705 - b. Round x to two decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2830, -5665, -8492, -11305, -14098, -16865, -19600?\n\"Answer: b**3 - 2*b**2 - 2836*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15\/569017 + -48092747673\/5690170. Let a = -8463 - f. Let x = 3214 + -57917\/18. Calculate the common denominator of a and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6492 and -2.\nAnswer: -12984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -66*d + 3. Calculate the remainder when h(-9) is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - 11. Let z = -23 - q. Does 20 divide 10*(-5 - -20 - z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9839660678 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*p + 173*p = 1656. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1764819631.\nAnswer: 43, 79, 519523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*o = -3*o + 44*o - 87*o - 6992 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 24*b + 150. Give z(-14).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 2*f - 3*f)*(-2*f + f - f) + f**2 + 0*f + 0*f + 7*f**2 - 3*f**2 - 3*f**2 + (-4*f + 3*f + 4*f)*(0*f + 0*f - 5*f) + (3*f - 4*f**2 - 3*f)*(3 - 3 + 2).\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5 + 68*u**4 - 396*u**3 - 208*u**2 + 1034*u + 780 = 0. Calculate u.\nAnswer: -39, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -27*r + 146. Calculate the lowest common multiple of i(5) and (-8)\/(-12) - 25\/(-3).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212590 rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, 95, 357, 643, 947, 1263?\nAnswer: 1585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 14) to base 11.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) 4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42\/35*(-40)\/(-18)*3. Solve 0 = 5*i, -c = 3*c - 5*i - f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 2)*(2*v - 3 + 3) + (4*v - v - 2*v)*(-1 - 1 + 1)*(396 - 1664 + 720) in the form b*v + l and give b.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f - 11. Let y(d) = -3*d + 8. Let o(c) = 7*p(c) + 11*y(c). Suppose 0 = -2*v + 6 - 2. Let j be o(v). What is the closest to 0.1 in j, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 858380530 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -39*y - 2*y - 7*y. Let u(x) be the first derivative of -x**3 + 108981. Give u(b(m)).\nAnswer: -6912*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.797 less than -2.81?\nAnswer: -2.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 14*g + 80. What is the units digit of (170\/4)\/(8\/g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 3:17 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, e: 4}. Give prob of sequence oo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -260\/77 - -9\/7. Let k = -180192\/755 + 644\/151. Let m = k - -233. Find the common denominator of m and q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 23. Let n be 8 - (3 + h\/2). Which is the closest to 2\/3? (a) 3\/5 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + k**2 - k + 1. Let g(p) = 7*p**3 + 6*p**2 - 6*p + 11. Let y(v) = 6*a(v) + g(v). Let s be y(-13). Let m be 4\/(16\/11)*s. Is m less than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + d - 7, -3*k + 5*d + 0*d - 9 = 0. Let q(v) = -26*v - 46. Let f be q(-2). Solve 3*a + h - 1 + 7 = 0, 0 = k*h + f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - 2*f + 5*f)*(389*f + 122*f + 494*f + 147*f) to the form a*f**2 + h + x*f and give a.\nAnswer: 6912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01201878 to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4432124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 0 + (34 - -23 - 48)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2 - 1. Let y = s - 0. Suppose 19*j - 95 = -0*j. Solve -y = -j*o + l, -2*l + l = -4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.8 + -3.8. What is the closest to s in -0.2, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*r**5 + 177*r**2*y + 16*r*y + 23*y wrt r.\nAnswer: 140*r**3 + 354*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1093, 4492, 10149, 18058, 28213, 40608, 55237?\n\"Answer: -n**3 + 1135*n**2 + n - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14138 - -14133. Sort -2.3, -1, 0.4, 7, j in decreasing order.\nAnswer: 7, 0.4, -1, -2.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j**3 - 34*j**2 + 5*j + 118. Calculate w(-6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 16*w + 12. Let z be f(16). Suppose -z*x = 2*x. Let i = 5.87 - -0.13. Which is the second biggest value? (a) -1\/7 (b) i (c) -5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 4)*(-249 - 2*x + 8 + x**2 - 777) to q*x**2 + f*x + r and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from {b: 2, n: 4, m: 1, l: 2, a: 1, t: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 550*t**3 - 7277*t**2 + 23646*t.\nAnswer: t*(t - 7)*(t - 6)*(t + 563)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 158760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (m + 128*m - 31*m + 22*m + 107*m)*(-4*m + 55*m - 4*m) as r*m + n + v*m**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**3 - 5*t**2 - 4*t + 3. Let z(a) = -4*a**3 + 5*a**2 + 3*a - 3. Let f(x) = -3*o(x) - 2*z(x). Give f(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34623 (base 9) in base 8?\nAnswer: -55102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72045473?\nAnswer: 17, 19, 223051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s = -21 - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*w*x + 16834*w + 3447*x with respect to x.\nAnswer: -6*w + 3447","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((0 + sqrt(17) + -2)*2 + 5)**2.\nAnswer: 4*sqrt(17) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108016 is divided by 104.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g**2 - 19*g + 6. Let h(n) = 15*n**2 - 33*n + 12. Determine 6*h(s) - 11*u(s).\nAnswer: 2*s**2 + 11*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13821)\/(-6) - 1\/(-2). Let y = d + -1296. What are the prime factors of (-1)\/5 - y\/(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -8. Let w = t + 5. Suppose f = w*f - 5. Solve -2*y - 12 = 3*p - f*y, -4*y = 5*p + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/30*12\/314*(-38)\/76\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.016 - -7.816. Let j = -8 + t. Sort j, -4\/7, -75 in decreasing order.\nAnswer: j, -4\/7, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 8*o. Suppose 0 = -o*a - 2*a. What is the second derivative of w**4 + a*w - w + 2*w wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 33\/1)\/(2 - 3). Let o = s - -90. List the prime factors of o.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 - 70 - 76 + 240 - 3*g + 2*g.\nAnswer: -g + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from dddppp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 12*f + 24. Suppose -2*j = 19*j - 42. Let x be w(j). Let p = -37 - -53. Calculate the highest common divisor of x and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(2299))*-5*2.\nAnswer: 550*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.8 (b) 2\/11 (c) 87 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 224292911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61793.24 weeks to minutes.\nAnswer: 622875859.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*q**3 + 24*q**3 - 6*q**3.\nAnswer: 65*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*z + 14429 = 189*z + 3407 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 9. Let k be w(7). Suppose -1 - 41 = j - 3*l, 0 = -3*j + k*l - 91. Let h = -24 - j. Calculate the remainder when 6 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 11*h - 15. Let o(i) = i**2 - 5*i + 7. Let z(n) = 6*b(n) + 13*o(n). Let j be z(-1). Is (-2 - j)*3\/(-3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 422 and -208810262596.\nAnswer: -208810262174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 + 69. Which is bigger: a or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/4*(-20)\/3. Let y be (-2)\/(-4) - n\/4. Is (y\/(-5))\/(10\/(-175)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, -2\/7, -12389, 2\/5, -1\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 84*i**3*o*p**3 + 4*i**3*o - 3*i**3*p**3 - 102*i**3 wrt o?\nAnswer: 84*i**3*p**3 + 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1771.5 - -1771.6. Put b, -205, -1 in ascending order.\nAnswer: -205, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75331 is divided by 25110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 167164246 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.3323 to one decimal place.\nAnswer: -55.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 6:36 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(52)*-1)**2 - sqrt(52).\nAnswer: -2*sqrt(13) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.1897969407 - 9.2.\nAnswer: -29.3897969407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -1. Suppose 9 = 3*t - 2*t + w, 3*w = -y*t + 37. Suppose -2*l - 3*l + t*a + 65 = 0, 20 = 2*l + a. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(490) + sqrt(10))\/sqrt(5) - (0 + sqrt(2))*4)**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -5*b - 15, 0 = -b - 3*k - 4 + 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 6*f**2 - 7*f + 2. Let x be v(-7). Suppose -4 = -l - l. Suppose l*p + 8 = -5*z, z = -x*z - 2*p - 8. Is -1\/3 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(2 + 0 + 0). Suppose k + 9 = 5*p, -5*p + s*k + 4 = -3. Is (2\/(-3))\/(p\/(-129)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -751, -1531, -2325, -3139, -3979, -4851?\n\"Answer: -z**3 - z**2 - 770*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/7398 and -143\/126.\nAnswer: 51786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = -11*f - 80. Solve 4*d = 3*o + 20, 4*o + o - 4*d + f = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4316.\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1110*h + 7774. Let y be n(7). Solve -4*i + 14 = -3*m, -5*m + 8*m = -5*i + y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from {f: 6, x: 2, m: 2, p: 1, z: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-17)\/7 - (-1620)\/252\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (27\/(-4))\/(1\/(-4)). Let u = z + -23. Suppose -3*t + 25 = u. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -514 + 509. Let j = -15 - -14. What is the nearest to 0 in -0.1, j, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 57, 1, -101 in descending order.\nAnswer: 57, 5, 1, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/102)\/((-188)\/6392).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*c + 147 - 39*c + 149*c**2 wrt c?\nAnswer: 298*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187 - 436 + 104*a**3 + 64 + 185.\nAnswer: 104*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126317237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -28*z. Let c(o) = -o - 27 - 19 + 20 + 26. What is -c(k) - h(k)?\nAnswer: 29*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 - -97. Suppose 2*p - 78 = -p. Let w = 391\/15 - p. Does d = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -831647 times -11.9?\nAnswer: 9896599.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + l**2 - 2*l + 4. Let z be t(2). Let h = -84 - -253\/3. What is the third smallest value in z, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 40 = -4*i - 4*u, -5*u - 40 = -4*i. What is the common denominator of (244\/20)\/((-22)\/(-5)) and i\/12*(-243)\/(-50)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 3:12 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c**4 - 1 - 113*c - 6*c**2 + 4*c**2 + 0*c**2 + 3*c**4 + 115*c + 5*c**3 to u*c + x*c**4 + k + l*c**2 + g*c**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 3*u + 3. Suppose 2*l - 42 = 2*a, -a - 5*l + 5 = 44. Let s be (-1)\/4 + a\/(-160)*15. Give o(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.08378 centuries in years?\nAnswer: 5108.378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2*10491\/(-7))\/(1\/7). Let w be (-2)\/(-2) + 16 + -2. Is k\/w + 1\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*z + 6 = -3*z, 0 = -l + 3*z + 2. Let t be 22\/(-55) + ((-342)\/15)\/3. Let k(v) = -16*v - 128. Let p be k(t). Put p, -4, l, 3 in increasing order.\nAnswer: -4, p, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16209 + (1 + -1 - 2). Let y = c - 24207. Round y to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4385 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 - 45*z + 226. Calculate c(5).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -u - 7*u - 334, -4*j = 5*u - 461. Calculate the remainder when ((-38)\/j)\/(1\/(-240)) is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6163 + 590?\nAnswer: 6703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4295562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -v - 1688 - 368, -5*v + 1639 = 4*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (14 - 22)) + 16 + 17.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + (-40)\/12)*0. Let z be 0*(-2 + 3 - w). Solve -2*f - f - 15 = z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 + 46*g + 30. Let y be b(22). Suppose -12*d + y = -238. What is the remainder when 129 is divided by d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**2. Let a(v) = -7037878*v. Determine p(a(q)).\nAnswer: 247658633714420*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 524780*m**2 + m + 524786*m**2. Let a(j) = 36*j**2 + 1. Determine a(z(t)).\nAnswer: 1296*t**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**5\/10 + 19*r**4\/6 - 206*r**2 - 136*r - 2. What is the derivative of u(w) wrt w?\nAnswer: -6*w**2 + 76*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*w - 853495 + 282*w + 853495.\nAnswer: 232*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 1. Let z(u) = 48*u + 36. Let c(o) = 36*m(o) - z(o). Let t = -24 + 26. Let x(p) = 8*p**t - 7*p**2 - 2*p + 2*p. Determine c(x(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3*y - 913 - 124, -y - 1021 = 5*h. Let d(v) = -v**3 - v**2 - 30*v - 4. Let t be d(-6). Let r = t + h. Does 38 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, k: 6, w: 4, h: 1}. What is prob of sequence wttw?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 409, 878, 1423, 2044, 2741, 3514, 4363?\n\"Answer: 38*x**2 + 355*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.558 + 0.758. What is the nearest to -0.1 in 1, -6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - z = 2, 3*n - z - 1 = -3*z. Let t be 1 + -1 - (-1 + n). Solve t = 3*l + 1 - 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 u when four letters picked without replacement from zzzzzuuuzzuuzzuzzzz?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/77 + (-122060)\/(-110). Calculate the greatest common divisor of z and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -324, 3, 8, -13 in descending order.\nAnswer: 8, 3, -8, -13, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4575 + 4570. Let g(d) = 4*d**3 - 22*d**2 - 4*d - 7. Let t(w) = w**3 - 7*w**2 - w - 2. Let j(y) = -2*g(y) + 7*t(y). What is j(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c + 198*c - c)*(0 + 13 + 11).\nAnswer: 4560*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 152\/1747?\nAnswer: 152\/1747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06903*-19673.\nAnswer: 1358.02719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3279905.471 to the nearest one hundred thousand.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/5, -46.83, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(792\/(-48))*1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/204*(1 - (-31)\/(-39)). Let q = j - 2\/17. Let k = -7.1 - -7. Which is the biggest value? (a) q (b) 0 (c) 4\/5 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-21 - (6 - 4))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 10) to base 4.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 270*g**4*k + 2*g**4 + 385*g**3*k - 2*g**2*k + 1574*g**2 - g*k - 2*g wrt g.\nAnswer: 6480*g*k + 48*g + 2310*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.013 + 0.013. Let w = i - -20.005. Round w to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1599 (b) -2 (c) 0 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 - l**2 - 7*l - 6. Let z(n) = -n - 1. Let u(c) = -m(c) + 3*z(c). Let g be u(-1). Solve -2*k + 8 = -v, 2*k = 7*v - g*v + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + 3*t + t**2 + (-4*t + 2*t + 0*t)*(-t - 2 + 2) - 149*t - 128*t - 26*t**2 + 27*t**2 - 2 + 2 - t**2.\nAnswer: 3*t**2 - 277*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**5\/60 - 5*t**4\/24 + 19*t**2. Let h(r) = r**2 + 4*r. Give 5*h(z) + 4*m(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00158 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 4*i**2 - 2*i + 1. Suppose -18 = -4*k + 70. Let q be k\/(-6) + 3\/(-9). List the prime factors of c(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/30 - (-637)\/35\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1442 and 18486440.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -2\/7, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11020011012221 - -200101?\nAnswer: 11020011220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + r + 22679 = 5*r, 0 = 2*r - 2. What are the prime factors of c?\nAnswer: 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 745620 and 12495.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) 62392\/3 (b) 0.5 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2348, -2364, -2404, -2480, -2604, -2788, -3044?\nAnswer: -3384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 5*l + 52, -5*b + 54*l = 49*l - 20 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -56, -30198 in descending order.\nAnswer: 6, -4, -56, -30198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 1424870179.\nAnswer: 1424870178.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -16. Suppose d*k + 173 = -3*g, -6*g = -g + 5. Let m = -20 - k. Let j(u) = 4*u - 1. Let x(n) = -9*n + 2. What is m*j(w) + 6*x(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(99) + (1*1*sqrt(99))**2 + 2 + -3 + -2 + sqrt(176)\/sqrt(4).\nAnswer: 5*sqrt(11) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -581?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -873*y + 1773*y - 883*y + 969 for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*a = -12, -a - 10 = -5*l + 5. Let k(j) be the third derivative of j**5\/60 - j**4\/12 + j**3 + 6*j**2 + 1. Determine k(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22769 * 0.5.\nAnswer: -0.113845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -4?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 972 - 247 - 239 - 24*q**2 - 248 - q - 251 as h*q**2 + f*q + s and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -9216*i**2. Let c(z) = -79*z**2. What is c(y(j))?\nAnswer: -6709837824*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.1 - -20. Let v = -6 + 2. What is the nearest to n in v, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**2 + 5*i**2 + 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 144176369734 less than 1?\nAnswer: -144176369733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-14)*108\/(-108864)*-56?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 - t**5 + 0*t**5 + (-2*t**4 + 0*t**4 + t**4)*(4*t + t - 3*t) + 4*t**4 - 4*t**4 + 5*t**5 + t**5 - 4*t**5 + 4*t**5.\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 11:34 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103547 is divided by 517.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 0.3, -6673, -9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuu when three letters picked without replacement from {x: 4, u: 3, f: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 9.1199\nAnswer: 18.2398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/2)\/1 - 1. Let z be (1 + -2)*(-4)\/y. Let w be 1*(4 + (-1 - z)). Solve 0 = -4*t - 5*v - 21, 0 = 3*t + w*v + 6 + 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 3 - 21) + -52*(-105)\/602\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 39*i - 161. Let w(d) = 22*d - 162. What is -2*c(r) + 3*w(r)?\nAnswer: -12*r - 164","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-338)*(-155480)\/(-17940)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n. Suppose 68 = -n*w + 2*w. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -271, -1, 28798, 0 in descending order.\nAnswer: 28798, 0, -1, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 2 + -2 + 3. Suppose 0*f + 4*f - 104 = b. Calculate the highest common divisor of f and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**8\/56 - x**4\/4 + 24*x. What is the third derivative of h(g) wrt g?\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1985942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -111*r**6\/40 - 326*r**5\/15 - 664*r**2. Find the third derivative of s(u) wrt u.\nAnswer: -1998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((46\/(-1))\/2)\/(53\/((-53)\/(-1)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + 4 + (-44)\/8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17289505.7 rounded to the nearest one thousand?\nAnswer: -17290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 11*c - 4. Let b(y) = -11*y + 3. Let s(p) = 3*a(p) + 4*b(p). Let f be s(-2). Solve -2*v = -2*w + 2*v - f, -w = v - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 - 3 - -1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7*q + 2*q - 131 = 0, -2*q = -5*u + 212. Let g be (2\/(-3))\/(14\/u). What are the prime factors of (-40)\/25*(1 - 33 - g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - s + 4 = 6, 3*s + 6 = 0. Let i(w) be the first derivative of 0*w**3 + 9 + 1\/4*w**4 - 2*w + 0*w**2. Calculate i(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0620845092 to three dps.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**3 - 73*u**3 - 134*u**3 - 57*u**3.\nAnswer: -272*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y**2 - 188*y - 2. Give d(19).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7135.464 litres in millilitres?\nAnswer: 7135464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, -15, 9, 75, 177, 309, 465?\n\"Answer: -q**3 + 30*q**2 - 107*q + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17, 49, 127, 275, 517, 877, 1379?\n\"Answer: 4*f**3 - f**2 + 7*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 37+-791.2393\nAnswer: -754.2393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffltnfnlfngf. What is prob of picking 2 n?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 307.7 - 307.2. What is the biggest value in 4, 1.03, 3\/7, q, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71080 is divided by 10124?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -514631, 0.3, -0.2 in decreasing order.\nAnswer: 0.3, -0.2, -514631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/13192578 and -85\/36954.\nAnswer: 13192578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 257.6 + -12.6. Let u = -245.7 + v. What is the fourth biggest value in -1\/3, u, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/3 + 65\/5 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + bf6?\nAnswer: bfb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**2 - 20277*j + 20280 = 0. What is j?\nAnswer: -6760, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182 > 2176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o + 21. Let b(l) = -l + 4. Let f(d) = -11*b(d) + 2*j(d). Let y be (-2 + 7)*96\/(-15). Let w be (-22)\/5 + y\/(-80). Determine f(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9909.57919 to 0 dps.\nAnswer: -9910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 13*j + 43. Let h be p(14). Suppose -2*a + 7*a + 54 = 3*z, -z - 2*a + h = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, h: 7, a: 2}. Give prob of sequence an.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -2 - (-4)\/1. Let m(b) = 2*b - 5. Let i be m(n). Let w(l) = 2*l - 2. Let j be w(i). Solve 0 = 2*z - j - 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -287*n**2 + 3. Let h(s) = s - 384. What is h(i(a))?\nAnswer: -287*a**2 - 381","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67555 - -67558. Suppose 0 = 3*i - 2*i. Factor 1\/3*k**4 + i + k**2 - 1\/3*k - k**l.\nAnswer: k*(k - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 575 and 49910?\nAnswer: 249550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134510329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509*j - 455*j + 973*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368064, -368046, -368030, -368016?\nAnswer: -368004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92.8 - -92.9. Which is the fourth biggest value? (a) -0.3 (b) 2\/3 (c) -13 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4))**(-5))**32 assuming f is positive.\nAnswer: f**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r. Let d(f) = 16*f. Suppose 3*u - 6 = -0*u. Suppose u*k + 44 = -2*k. What is k*b(z) + 2*d(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 x, and 2 h when four letters picked without replacement from {x: 1, g: 2, h: 2, m: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 148, -6, 55, 0, 6 in decreasing order.\nAnswer: 148, 55, 6, 5, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 38, 89, 172, 293?\n\"Answer: u**3 + 7*u**2 - 3*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167051, 334177, 501291, 668393, 835483, 1002561, 1169627?\nAnswer: 1336681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*s - u - 59, 3*u = 5*s - 97. What is the lowest common multiple of s and 45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12817\/19221 - 1\/6407. What is k in -4\/3*k - a*k**4 + 0*k**3 + 0 + 2*k**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 1495 = -325. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 11:30 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p + 10. Differentiate p + 0*x**3 - 4 + x**3 + x**3 wrt x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -555 - -1799. Let t = f - 1244.079872. Let s = t + 0.08. What is s rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + -39 + 31 + -3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**3 - 10*p**2 - 16*p - 8 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -9445*v - 3079076. Determine w(-326).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 432 and 666072?\nAnswer: 3996432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14397574*y + 33136315 wrt y?\nAnswer: 14397574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203199489 take away 0.3?\nAnswer: 203199488.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -59a82 (base 13) in base 5?\nAnswer: -20224444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -582?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4597*x + 798 = -4635*x for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.6418 to one dp.\nAnswer: 9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-22) + 2100\/(-462).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 14*v**2 - 6*v + 1. Let p be -2*((-42)\/(-14) + -4). Let z(s) = -3*s**2 + s. Determine p*r(n) + 11*z(n).\nAnswer: -5*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 8:08 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imiyiaiqy. What is prob of sequence ymy?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 + 10 = 25*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*x + 4820 = 14024 - 4472 - 3315 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 39815, -3\/7, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5\/(-2)*138096\/(-120)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqxupuppkuuxxax. What is prob of sequence pu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - l - 146 = 0, 2*l - 140 = -p - 2*p. Calculate the least common multiple of p and 8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1589 - 1059. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39022 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -1\/2 (b) -4 (c) 1.2 (d) 0.3 (e) 582\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/108 + (-254)\/(-9). Suppose 3*b = 5*b - t. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -185, -184, -183, -182?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*f + 8*f. Let q = 2 - 3. Let h be -2 + 7\/(35\/12). Which is the second smallest value? (a) f (b) h (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 * 22155497\nAnswer: -288021461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -228557 minus 17?\nAnswer: -228574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -667 divided by 646597\nAnswer: -667\/646597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 3, l: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12629311 and 433?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 186182, 4, -1, -2\/5 in increasing order.\nAnswer: -1, -2\/5, 4, 186182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o\/o**(2\/11))\/o)\/o**0*(o*o**7*o)\/o*o*o*o**(-1\/2)*((o**(-4\/7)*o*o)\/(o**(-2\/5)*o))**(-18) assuming o is positive.\nAnswer: o**(-2769\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-40)*(16\/6 - 1). Sort -5, 1\/4, y in descending order.\nAnswer: 1\/4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2062 and 101\/10.\nAnswer: 10310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1644142.\nAnswer: 2, 127, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 4:30 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 3. Suppose 0 = 2*j - 3*d + 14, 4*j + j + 2*d - 3 = 0. Let q(a) = -4*a + 0*a + 3*a + 1. Give j*h(m) - 2*q(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 3:42 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -40. Suppose -33 = -4*l - y. Solve 5*j + l = -0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/(w\/w**(1\/50))*w)*w))\/w**(-1\/6))\/(w**(-11))**(-25) assuming w is positive.\nAnswer: w**(-20611\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64.817 - -1.413. Let l = 66 - r. Put -2\/11, -1, l, -5 in increasing order.\nAnswer: -5, -1, l, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, r: 5, p: 14}. Give prob of picking 2 p.\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**4 + 3154*c**3 + 46914*c**2 + 84374*c + 40612 = 0.\nAnswer: -1562, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/2, 2\/15, 26, -1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12769147.\nAnswer: 1367, 9341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t - 21*t + 187 = -34*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1660*w - w**3 + 4971*w - 1657*w - 1654*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*c = -60, 4*u = -5*c + 47 + 2. Suppose -g - 3*y + 8 = -12, 34 = 2*g + 4*y. Calculate the highest common divisor of g and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/((-4)\/(-6)). Suppose l = 3*l - 64. Let g be 8\/(-6)*(-36)\/l. What is the second smallest value in y, g, 1\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -54206.203 from 646475.\nAnswer: 700681.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 32. Let z be t(0). Suppose z = 5*b - b. Suppose -2*c - j + 42 = 0, 5*c + 18 = j + 130. Calculate the smallest common multiple of c and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w - 25. Let j(a) = 7*a + 49. Determine 5*d(k) + 3*j(k).\nAnswer: k + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23043079 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/5 + 220\/50. Suppose 3*h + 4*w - 2*w = -9, u = -4*h - 5*w. Put 15, h, 0 in decreasing order.\nAnswer: 15, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 17*h - 13. What is x(3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**4\/4 + 22*r - 9. Let o(a) be the first derivative of m(a). Let u(v) = -12*v**2. Calculate u(o(k)).\nAnswer: -108*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135177 divided by 287.\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 1, k: 2, q: 1}. What is prob of sequence qs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54608708.\nAnswer: 2, 7, 11, 177301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide (2\/(-12) - 521\/6)*16352\/(-168)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*b - 12*b - 3*b - 2*b**2 to o + w*b**2 + y*b and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417 = -4*t + 5*z - 47, 98 = t - 4*z. Let o = t - 61. Suppose -o = -f + 24. Does 29 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 7. Let y be v(-9). Solve -2*s**y - 7*s - 8 - 2*s**2 - 5*s + 0*s = 0 for s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.046 + -0.009. Let p = 46 + -47. Does o = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7788 (b) -1\/5 (c) 3\/7 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 298133779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhrhpqqyyy. What is prob of sequence hrhy?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 411331 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 674 = 536. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -155 - (1150\/(-23) + 13)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-35)\/(-25) - (-2 + 1) - 3. Let r(g) = -2*g + 1. Let s be r(-1). Let h be 1 - s - (-42)\/15. Which is the second smallest value? (a) x (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*i - 1, 2*f + 0 = i + 1. Suppose i*s - 91 = -8*s. What is the smallest common multiple of 11 + (-2)\/(-4)*-2 and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2 + 2*a**2 - 2*a + 1)*(4*a**3 - 4*a**3 - 3*a**3 + (-2*a**2 - a**2 + 0*a**2)*(-2*a + 2*a + 2*a)).\nAnswer: -18*a**5 + 18*a**4 + 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 0*x + 0 - 3*x**2 + 1\/2*x**3 - 1\/40*x**5 + 0*x**4. Let m(i) be the first derivative of g(i). Let u(w) = w**2. Give m(u(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 1629, 5492, 13011, 25404, 43889, 69684, 104007?\nAnswer: 148076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1371733 is divided by 457234?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + 17*a + 3. Give k(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14760, 17285, 19810, 22335?\nAnswer: 24860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -588*k**4 + 290*k**3 + 2*k**2.\nAnswer: -2*k**2*(2*k - 1)*(147*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2. Let u = 1\/7 + 11\/21. Which is the second biggest value? (a) -3\/4 (b) g (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26427373 divided by -1\nAnswer: 26427373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 4*c + 2*c)*(4 + 151*c**2 - 3 - 266*c**2).\nAnswer: -115*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 44 = 3*y, -2*y - 2*y = -16. Is (l\/20)\/((-3)\/135) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**8\/(u\/u**(-12))*(u*u**(3\/7))\/(((u\/u**(-2\/35))\/u)\/u) assuming u is positive.\nAnswer: u**(-92\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, 33, 74, 131, 204, 293, 398?\n\"Answer: 8*b**2 + b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8013 + 15472. What are the prime factors of j?\nAnswer: 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006 is divided by 206?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 9\/6)*0. Let p be 1*(2\/(-6) - j). Let z be (2\/(-5))\/(2\/(-10)). Which is the nearest to p? (a) z (b) -0.5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7714*v + 593999. What is q(-77)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 207285 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Let n(y) = 20*y**2. Calculate n(l(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/2 - 3 - -811. Suppose -6*p + 2*p - a = 0. Is 3\/(-9)*(p - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1361*v**3*y - 2*v**3 + 350*v**2*y - 3*v**2 - 17237*v - 3*y - 5 wrt y.\nAnswer: 1361*v**3 + 350*v**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24500 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 - 133 + 32*t + 73 - 30*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110020 - 2111?\nAnswer: 100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.15 - -9.55. Suppose -3 = -k - 4. Which is the fourth biggest value? (a) m (b) k (c) 0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 78 - 177. What are the prime factors of d?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/5 and 2\/12*(-711)\/(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 - 79*b + 31. Let s be d(26). Solve 3*x + 11 = -3*w + 2, 0 = -w - s*x + 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15762022 and 1682?\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22251291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(2295\/6)\/(-5) - -1. Let o = i - -271. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -775620541 - 29992?\nAnswer: -775650533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7\/15, -9, -1, -2\/9, 2\/9, -0.06?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 6, 7*b + 15 = -p + 12*b. Solve 4*g - 2*g + 2 = p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9113150*t - 9113161*t + 27339474*t - 9113158*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12834 + -12830. Let j = -43\/2 - -21. What is the closest to j in g, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-948)*-3826 - (-4)\/8. Let d = u - -126\/79. Find the common denominator of d and 93\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from fllpnelffnneelllell?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 11\/10, -0.27, 0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4 - 5156*o**3\/3 - 1141280*o**2\/3 - 4778772*o - 1550718 = 0. What is o?\nAnswer: -423, -13, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 10.8. Let i = -13.9 + 14. Let j = 2.9939 + 0.0061. What is the closest to y in j, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17bbc9 - -5?\nAnswer: 17bbce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 259.21 - 258.21. Let z = 20\/11 + -149\/88. Sort -5, z, p, 1\/4 in descending order.\nAnswer: p, 1\/4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107129750257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 2:56 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 8:54 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30547025?\nAnswer: 5, 89, 13729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 - 12*l**3 + 0 + 0 - 1 as u*l**4 + o*l + c + x*l**3 + v*l**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -3545647?\nAnswer: -3545648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/12 + -3\/4. Which is the second biggest value? (a) -5 (b) r (c) 1\/4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2 - 106*w + 105 = 0. Calculate w.\nAnswer: 1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 7*a + 4*f - 2196 = 0, f + 2176 = a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*x + 67, -3 - 3 = 3*x. Let r be (-32)\/(-3) + (-3)\/(-9). Let y = k - r. Which is the closest to -1\/2? (a) 0.5 (b) -1\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1 (c) -21\/2770 (d) 4 (e) -2 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -o + 6*o - 3*f, -2*o - 5*f + 18 = 0. Let z be (2\/o)\/(-1)*-8. Solve z*k = 2*s + 14, 3*s = 4*k - 8 - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2\/3 - 4160*g\/3 - 2776 = 0.\nAnswer: -2, 2082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.022 rounded to two decimal places?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6336)*2)\/(-2*sqrt(144)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 0, -1, -92, -4 in increasing order.\nAnswer: -92, -4, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60619411 - 220654657681\/3640. Let d = -3\/280 + y. Suppose -5*g - 35*g = 0. Are g and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + 3*(2 + ((1 + sqrt(1539) + sqrt(1539))*5 - sqrt(1539)))*5 + -2)**2.\nAnswer: 243000*sqrt(19) + 28058275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 370374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2699998 = u + 2*p + 2699975, -5*u = -3*p + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 19090, -4, -6\/7 in decreasing order.\nAnswer: 19090, 4, -6\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n = -8. Suppose -3*w - 25 + 274 = -3*d, 433 = 5*w + n*d. What are the prime factors of w?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -2*o**7\/7 - 63*o**4\/4 - 32*o**3\/3 - 6*o**2 - 67. What is the third derivative of l(s) wrt s?\nAnswer: -240*s**3 - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from kjktkkkjjkou?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-12))\/(1\/20). Suppose -s*u + 3052 = -u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yynydxxdyxyydbxxddod. What is prob of picking 1 o, 1 n, 1 b, and 1 d?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -919 or -920?\nAnswer: -920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 9*j**2 + 5*j - 8. Let z = 12 + -20. Calculate the remainder when i(z) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -297*f**2 - 418*f**2 - 1844*f**2 to m + s*f + q*f**2 and give q.\nAnswer: -2559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**6\/20 + n**5\/10 + n**4\/24 + 8*n + 7. Let t(a) be the first derivative of c(a). Factor t(v).\nAnswer: v**2*(v + 1)*(3*v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**8\/210 + 13*q**5\/60 + 4*q**3\/3 + 25. Let s(o) be the third derivative of p(o). Find the second derivative of s(u) wrt u.\nAnswer: 96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100879024.\nAnswer: 2, 41, 103, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 + 95*c**2 - 42*c**2 - 26*c**2.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -10000867.1 to the nearest one thousand.\nAnswer: -10001000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxaaaphphpxrhahaa. Give prob of picking 1 r, 1 h, 1 p, and 1 a.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from ggre?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 51. Solve 4*k + 20 = t, 2*n = 5*k + 2 + 23 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -94*x**2 - 103*x - 104. Determine h(-1).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.12. Let z = p - 0.02000035. What is z rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1056, 5, -1, -5.\nAnswer: -1056, -5, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 4. Let a(h) = -6*h + 27. Let g = -87 - -60. Calculate g*r(s) - 4*a(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3270158.\nAnswer: 2, 1635079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 0.6. Which is smaller: 7.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 706, 2461, 5374, 9445, 14674?\n\"Answer: 579*v**2 + 18*v + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3468940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + u + (0 + 1 - 3)*(-2*u - u + 2*u) + 2 + 2*u - 2 + 3 + u - 3 - 32*u - 99 - 33*u + 64*u in the form a + v*u and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, r: 3}. What is prob of picking 1 r and 3 t?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 9\/11, -4, -0.29, -0.2?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 120 = -150 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 0.4, -0.6, 0.1, -3 in decreasing order.\nAnswer: 0.4, 0.1, -0.6, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -21. Suppose 4*t = -t + 20. Suppose -2*q + 13*w + 6 = 9*w, 3*q + 7 = -2*w. Sort t, 0, q, x in ascending order.\nAnswer: x, q, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 783 + -542. Suppose -6*k + 137 = -t. Calculate the remainder when k is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 170\/6*(1971\/8760)\/(15\/40)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1377420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 46804149.\nAnswer: 374433192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 9:19 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**10\/453600 + i**9\/181440 + i**8\/30240 - 2*i**5\/15 + 8*i**2. Let c(y) be the third derivative of a(y). Factor c(q).\nAnswer: -q**2*(q - 2)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 13*n**2. Determine u(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (21\/(-2) - 4\/(-8)). Suppose p*t = 1849 + 2321. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 1, h: 4, n: 1, w: 1}. What is prob of picking 1 n and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-4)\/(-22)) - -1. Let p = 20 + y. Let c = 0 + p. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-540)*-12)\/(130\/2275)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 6. Let n(s) = -s**3 - 8*s + 3. Let v(a) be the second derivative of -a**3\/2 + a**2\/2 - a. Let g(z) = l*v(z) + 3*n(z). Differentiate g(r) wrt r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3871*d**2*u**3 + 2935*u**3 with respect to d.\nAnswer: -7742*d*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/12 and -7\/3600.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.54 + 0.16. Let z = i + -0.2. Let s = -0.5 + 0.1. Which is the third biggest value? (a) -3 (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 114*o + 2956. What is d(-29)?\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4169)\/(-1))\/(487\/6818)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -628, -372, 670, 2498, 5112, 8512?\n\"Answer: 393*i**2 - 923*i - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71195650*j**4 + 2962*j - 5254 wrt j.\nAnswer: 854347800*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*d + 175 + 18609 = 3175. What is the highest common factor of 1177 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(144)\/sqrt(4))*1 + 1.\nAnswer: 1 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1341467 and 591385.\nAnswer: -750082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 552*v**3 + 2*v**2 - 4*v + 57. Is f(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*j - 5*w - 205 + 244, 4*j + 3*w + 34 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8519 divided by 1\nAnswer: 8519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -615\/4, -3\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 45336 and 2362962?\nAnswer: 2317626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v + 93*v - 168 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 63 + 3. Differentiate m**3 - 9 + m**3 + 4*m**3 + p wrt m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -240562404 + 3?\nAnswer: -240562401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02519, -4, -249?\nAnswer: 0.02519","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -200922\/29 - -6927. Find the common denominator of -41\/11 and p.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -6, 3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -336*k*r + 8371*k + 5*r wrt r.\nAnswer: -336*k + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 y, and 1 g when four letters picked without replacement from ypmmpmygmmgpppnm?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1452070 and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -78*n - 75. Let h be v(-1). Solve 2*b + 5 = -h*u - 3, -3*b = 5*u + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 77\/(-112))*(-18)\/(-198)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y, y + 401 = 2*o - 445. Suppose 4*n - 6 = 2*s - 414, n - o = -2*s. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67\/6 - 25. Calculate the common denominator of k and ((-5)\/(-20))\/(5\/226).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 0 - 1140\/34. Let u = -17201471\/136 - -505839\/4. Let f = u - h. What is the common denominator of f and 12\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6336 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147825241 divided by 2.\nAnswer: -147825241\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 52 = 4*m, m + 5*h = -3*m + 61 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2950*w - 91*w - 52369 = 34418 + 36150 for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s**3 + s + 36. Let r(h) = -3. Give 2*l(d) + 22*r(d).\nAnswer: -16*d**3 + 2*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + 0 + sqrt(5324)))**2.\nAnswer: -1584*sqrt(11) + 191700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -769.0144 times 88\nAnswer: -67673.2672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/8 + 1785\/476. Solve -4*d - w*z - 17 = 0, 0 = 30*d - 34*d - 4*z - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3)*(0*y + 0*y + 2*y) - 2 + 2*y - 6 + 2.\nAnswer: 6*y - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5478573, -5478583, -5478595, -5478609, -5478625?\nAnswer: -5478643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -129, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.6935 + -7.\nAnswer: -10.6935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9024 - -889?\nAnswer: -8135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**5*r))**50*((r*r\/(r*r**(6\/11)\/r))\/r)**24 assuming r is positive.\nAnswer: r**(2320\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ea (base 15) to base 4.\nAnswer: -3130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -29, 40, 0.4?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l**3 + l**2 - 11*l - 17. Let x be i(-9). Suppose -d + x = d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/(36*(-58)\/(-9048))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36 - a396?\nAnswer: -a360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 109145024 a multiple of 2627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) -0.4 (c) 5 (d) 0.13 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 + (-24 - 3 - -14 - 10)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 110*r + 1 + 110*r**2 - 1. Let v(w) = 179*w**2 - 359*w**2 + 175*w**2 - 5*w. Let z(n) = 2*k(n) + 45*v(n). What is the second derivative of z(j) wrt j?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*q**3 + 34257*d**3*q*z**2 - 117*d**3*q*z + q**3*z**2 + 7*z wrt z?\nAnswer: 68514*d**3*q + 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away -30612628?\nAnswer: 30612628.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*t - 2663 = -29*t - 87 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5607 is divided by 666?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3042103 (base 5) to base 14\nAnswer: 14149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3057*k**3 + 1528*k**3 + 2 + 1530*k**3 + 4*k - 23 as x*k**3 + i + y*k**2 + v*k and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) + sqrt(1377) + sqrt(1377) + 3 + sqrt(1377) + 0 + 4.\nAnswer: 7 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -8. Suppose -3*q - 24 = -2*g + q, 4*q + z = -5*g. Find the second derivative of -5*f + f**2 - 2*f**2 + 4*f**g wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 9*b**2 + 7*b + 5. Let m be z(10). Let a be m\/12 - 2\/3. Is -0.1 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4259984 is divided by 876.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h. Let z be l(-5). Let u = z + -3. Suppose u*p = 4*t - 60, 0 = 3*p - p - 4. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/16*1 - (-1)\/8. Suppose -3*j = c - 10, 2*j - 12 = -c - 4. Solve h*l + c = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/22*13\/(208\/(-16))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 553156 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1153 or -1155?\nAnswer: -1155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -241\/2 (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 16 = 4*t, 6*y = -2*y + 19*t - 16*t + 35 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 - (-26)\/8. Let t(p) be the second derivative of -1\/3*p**3 + p + 1\/2*p**2 - 4. Give t(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, f: 1, m: 2, e: 2}. What is prob of sequence em?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35.52067 * 249.\nAnswer: 8844.64683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*q = -480 - 310, 4*t + 1044 = -4*q. Let x be t*1\/(0 + -2). Suppose b - 2*b = -x. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 50 = 7. Let w(l) = l**3 + 21*l**2 + 38*l + 3. Let z be w(y). Calculate the highest common factor of z and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 + -1014a?\nAnswer: -10128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 2*g**2 + g**4)*(340*g + 301*g + 911*g - 357*g).\nAnswer: 1195*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/167 or 1?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (1 - (-1 + 1)). Suppose -m - 4*d = -28, z*m + m - 2*d - 94 = 0. What is the smallest common multiple of m and 33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**3 + 5*i**2\/2 - 1312*i. Let y(n) = -6*n. Determine y(c(h)).\nAnswer: -36*h - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267597.\nAnswer: 3, 11, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.56791 take away 13.8?\nAnswer: -14.36791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*8*10\/640 - 19224\/384?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84 + 84.1. Which is the closest to -4? (a) z (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**3\/6 + u**2 - u. Let s be p(-3). List the prime factors of 11 - (s - 1 - -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863702 is divided by 2117.\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 12, 7*t - 2*w + 16445 = 17158 for t.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256327358?\nAnswer: 2, 7, 18309097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) + (-964)\/48*-3. Suppose -7*c = -10*c + g. What is the lowest common multiple of (-2)\/(-4) - 7\/(-2) and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r = 2 - 2. Solve 10*k - 14*k - 20 = r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49830, -99658, -149486?\nAnswer: -199314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 less than 0.011?\nAnswer: -150.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**4\/6 - 3*h**3\/2 - 9*h**2\/2 + h + 88. Determine z(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 16*p**2 - p - 12. Let l = 29 + -45. Let g be a(l). Solve 2*f + 3*w = g, -4*f + w - 36 = -4*w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**3 + 3*v**2 - 6*v. Let r = -2 - 4. Let a(q) = 5*q**3 + 4*q**2 - 7*q. Let s(b) = r*a(b) + 7*d(b). What is the third derivative of s(y) wrt y?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 39307, 1 in descending order.\nAnswer: 39307, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 50*y**2. Let u(j) be the third derivative of 4*j**5\/15 - 582*j**2. Determine r(u(d)).\nAnswer: 12800*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -484344, -1937359, -4359050, -7749417, -12108460?\n\"Answer: -484338*q**2 - q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -3227, -137?\nAnswer: -3227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -1475 in increasing order.\nAnswer: -1475, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 4. Let m be -4 + (-3)\/(6\/4). Let f = m - -40. What is the remainder when f is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1, -2, -1\/655, -0.2, -26 in ascending order.\nAnswer: -26, -2, -1\/3, -0.2, -1\/655, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 18234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/6 and (-2 - (-115)\/(-10))*7\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377504 a multiple of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 14 = 6. Is 3 a factor of (-1 + i - 1) + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/920353 and 38\/91.\nAnswer: 11964589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 1\/7 (c) -4 (d) 2 (e) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359794867?\nAnswer: 359794867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 918*d**2*s**3 + 50*d**2*s - 152845*d**2 wrt s.\nAnswer: 2754*d**2*s**2 + 50*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 168740*f + 42537380.\nAnswer: 5*(f + 254)*(f + 33494)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 16*t + 143. What is the fourth biggest value in t, 3\/4, -782, 3?\nAnswer: -782","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3686565 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -804, -1509, -2120, -2637, -3060?\n\"Answer: 47*a**2 - 846*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -23.8, 0.5, 7\/2, -4, -2\/9 in increasing order.\nAnswer: -23.8, -4, -2\/9, 2\/7, 0.5, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2460897.9 to the nearest one hundred.\nAnswer: 2460900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1342 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97.5 + 98. What is the third smallest value in l, 0.04, -2, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 12*w - 8. Let l(f) = 34*f - 23. Give -3*l(c) + 8*n(c).\nAnswer: -6*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*s + 3767040 = 172*s. Calculate the highest common divisor of s and 405.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 180\/29?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569126896 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j + 38*j + 3 - 3.\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(76) - (sqrt(76) + (6*sqrt(76)*-3 - sqrt(76))))\/(sqrt(4) + (sqrt(4) - sqrt(64))*-2 + sqrt(4)).\nAnswer: -5 + 19*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -12*l - 42. Let z be t(-14). Let s = z - 124. Calculate the smallest common multiple of 46 and s.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**5\/12 - 15*m**4\/8 - 35*m**3\/3 + 140*m**2. Solve z(x) = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2662.423 to the nearest integer.\nAnswer: 2662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2952 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 c(a) be the third derivative of a**4\/12 + 2*a**2. Let o be (3\/(-2))\/(33\/88) + 0. What is c(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbdjjii. Give prob of sequence fj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5277*j**2\/4 - 15833*j\/4 + 3\/2.\nAnswer: (j - 3)*(5277*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -17*r**2 - 132*r - 166. Calculate the remainder when 2164 is divided by f(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23669446 to the power of 1\/3, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(931) + sqrt(931)*-3 - sqrt(931)) + sqrt(931))*-4 - ((sqrt(931) - (sqrt(931) + 0)) + -2)**2) + (1 + sqrt(931) + -1 - sqrt(931))**2 + -4 + 4.\nAnswer: -4 + 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 328*k = 325*k + 23, -3*w - 3*k = -52 + 13 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0 = 2. Suppose -3*f = v + 1. Let r be 8\/(f - (3 - 5)). Do 9 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 33. Solve -3*n + 7 = -2*l, z*n - 6 = -4*l + 5*n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 9001828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 9\/35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*b + 100*b + 206*b - 1035 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1018033 is divided by 144749?\nAnswer: 4790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-102)\/27 - (-2)\/(-9). What are the prime factors of j\/8*(-1 - 13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3608*x + 101062. What is c(-28)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 912 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 89678 and 44839.\nAnswer: 89678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 15, -5*v - 5*r + 143 - 33 = 0. Solve -v = 6*s + 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 313920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/15, -0.3, -0.5, 5?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(14)\/sqrt(2) + 2*sqrt(567) + (4*(sqrt(7) + sqrt(7) + 0) - (2 + sqrt(28)\/sqrt(4))))**2.\nAnswer: -624*sqrt(7) + 28416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t**2 - 72*t - 5*t**2 + 51*t + 21*t.\nAnswer: -23*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -853 - -1227. Suppose b = -6*c + 8*c. Suppose 14*a = 15*a - c. Calculate the highest common divisor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -520, 584, 2424, 5000, 8312?\n\"Answer: 368*d**2 - 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 + (1 + -2)\/((-2)\/(-6)). Suppose -148 = -f + 5*b - 14, -p*b = 3*f - 383. Let m = 107 + f. List the prime factors of m.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 0*u = 319. Let o be (1\/2)\/((-2)\/264). Let b = u - o. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*u - 5*o, 2*u + 77*o - 78*o = 35. Calculate the greatest common divisor of 10319 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/4, 0.5, 34, 147.1 in decreasing order.\nAnswer: 147.1, 34, 0.5, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.062299 centimeters in meters?\nAnswer: 0.04062299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(((-4)\/(-16))\/(3\/24)). Let r be 0 + h\/4 - (-7896)\/48. Let w = r + -99. What is the greatest common factor of 99 and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + 0)\/(34 - 33). Let g be 92\/4 + (2 - 7). Solve 5*w - 3*w + 21 = x*h, -w - g = -4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412009919?\nAnswer: 157, 2624267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.8747922 rounded to two decimal places?\nAnswer: -17.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -b6?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98671\/570 - -2602\/15. Let r be (2 - (-45)\/(-27))\/((-38)\/(-3)). Let u = q - r. Is 0 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 2:15 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in meters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u - 55. Calculate the remainder when 146 is divided by b(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**2\/2 + u - 54. Give n(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13477 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2453915 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + (-2 - -3) + 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 10*t + 17. What is k(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5094 = -2*y + 386. Suppose y = 8*s - 2836. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117 - 38. Let y = -78 - f. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62177 smaller than -62178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 232466396 to the nearest integer?\nAnswer: 15247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 44, 3\/5?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 4:44 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40301 or 2367?\nAnswer: 2367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/5)*s**7*s)**(-41) assuming s is positive.\nAnswer: s**(-1599\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/20*2*-4. Solve -2*x + v = -0*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5019 = -3*n + 1503. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 34*o + 2. Let k be y(2). Calculate the highest common divisor of k and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971080?\nAnswer: 2, 5, 11, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*n = -m, 2*n = -m + 12. Let q = 38 + -23. Suppose 27 = 3*i - q. Solve -2*c + i = -2*l, m*c = -0*c + l + 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 728\/(-117) - 2\/(-9). Let f(r) be the first derivative of -1\/3*r**3 + 35 + 2*r - 5\/2*r**2. What is f(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2. Let m(y) be the first derivative of -2\/3*y**3 - 3 + 2*y + 0*y**2. Let t(k) be the first derivative of m(k). Give t(h(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/4 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/9*m**4 - 4\/3*m**3 + 0 - 8\/9*m**2 - 2\/9*m**5 + 16\/9*m.\nAnswer: -2*m*(m - 2)**3*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*t + 29*t**5 + 12*t - 18*t + 380*t**5 - 2*t wrt t?\nAnswer: 8180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*z**2 - 5 + 1052*z**2 - 37*z**2 + 2.\nAnswer: 1337*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29513779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1998 = -2*w, v = 4*w + 370 + 629. Is v a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11951466?\nAnswer: 2, 3, 1991911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -19*a**2 + 233*a - 60. Let x be n(12). Solve x = -6*c + 22*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 4*t - 117 = -5*i, 4*t + 12 = 0. Let z(b) be the second derivative of b**5\/20 - 7*b**4\/4 + 25*b**3\/6 + 13*b**2 + b. Is z(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 2:13 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(99) + sqrt(11) + sqrt(11))*-2)**2.\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (634*l**2 - 296*l**2 - 119*l**2)*(-1 - 1 + 5) - 6*l**2 + 2*l**2 + l**2 + (3 + 2*l - 3)*(0*l + 3*l - 5*l).\nAnswer: 650*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -27*d - 236. What is h(-10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 73?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -63a?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -13*m + 9*m. Suppose -m + 6 = -4*i. Calculate the least common multiple of i and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*sqrt(208)*3 + ((-4 + sqrt(13) + 0)**2 + sqrt(13) - (3 + sqrt(637))).\nAnswer: -26*sqrt(13) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -68*1*25\/(-10). Let n(k) = -1 - 32*k - r*k**3 + 9*k**3 - k**2 + 31*k. Let y be n(-1). Calculate the greatest common divisor of y and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -312. Suppose -d*t + 262*t + 30 = 0. Calculate the remainder when 59 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.634 - 0.134. Let v = x - 0.9. Which is the second smallest value? (a) 1 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -60094254, -60094245, -60094236, -60094227?\n\"Answer: 9*t - 60094263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4 - 1, d + 31 = z. Let w be 116\/z*-1 - -4. Is w >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 + 9*m - 7. Let a be t(3). Suppose x = -14 + a. Let i = x - -31. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024988?\nAnswer: 2, 151, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 15.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.36 + 11.46. Which is the closest to l? (a) 6\/5 (b) -5 (c) 0.2 (d) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 p when three letters picked without replacement from {y: 9, p: 10}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320649763, 320649764, 320649765, 320649766, 320649767?\nAnswer: 320649768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15353\/11 - 1398. What is the common denominator of 1015\/(-390) + 2\/6 and u?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1989 and 3519?\nAnswer: 45747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -2\/15*f + 0*f**2 + 2\/45*f**3 + 16. Solve d(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b + 20*b = 512. Let p be (b\/(-30))\/((-16)\/40). Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*4 - (-6 - -9)) + 7 + -47 + 11\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(9\/24))\/(4*5\/(-60))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 740398388 to the nearest integer?\nAnswer: 27210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4*3\/(-4))\/1. Let p be 40\/24 - 2\/x. Solve m + b = -b + 9, 4*m + b = p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-229870)\/3175)\/(1\/(-655)) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 - 25*f + 88. Let y be x(8). Solve o - 3*s = -5*s + 9, 2*s = 4*o - y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -6) + 6 + 9 + 6 + 9\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 9:53 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d - 16. Let a(k) = -1. Let q(v) = -6*a(v) + f(v). What are the prime factors of q(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005592 to seven decimal places.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1056)\/128*(-112)\/42?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**3 + 59*g**2 - 44*g + 44. Give s(14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -64?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2913679 is divided by 971195?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39, 116, 193?\n\"Answer: 77*k - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 16) in base 10?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 299891803 to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 112*i**3 - 2*i - 2 - 74*i**3 + 10*i**4 - 66*i**3 - i**2 - 11*i**4 in the form r*i + t*i**2 + w + g*i**3 + m*i**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 0*q - 10, 2*q + 9170 = -2*h. Round h to the nearest one hundred.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 41 + 9 + -20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71*o*v**4 - 315*o*v**3 + 2*o*v**2 - 617*o + 12*v**4 - v**3 + 106*v wrt v.\nAnswer: 1704*o*v - 1890*o + 288*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1068 - -622. Is f > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13002917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -52*n + 19. Let j be l(-5). Let f = j + -147. Suppose 4*i = 9*i - 60. What is the highest common divisor of f and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w, 4*w = -6*g + 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 779657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*q + 1791012, -12*m + 10*m = -2*q - 895510. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 803 and 99.\nAnswer: 7227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 12*v + 8. Let a be n(7). Let s be (-129)\/215 - 62\/(-10)*-7. Let x = s + a. Which is bigger: 2\/21 or x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + -557548?\nAnswer: -557563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 5*v - 4. Let k = 6 - 4. Suppose -15 = p + k*p. Give a(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/5 + 12*l**3\/5.\nAnswer: -2*l**3*(l - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 101011011010011101011100011?\nAnswer: 101011011010011101011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 42933?\nAnswer: 343464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2117 + -52?\nAnswer: -2170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17353 is divided by 56.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 29*c + 7 - 3 + (-c + 4*c - 2*c)*(0 + 3 + 0)*(2 - 1 - 3) in the form s + x*c and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1.03. Let g = d + -2.97. Put g, 0.4, 5 in ascending order.\nAnswer: g, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 680376*l - 1353. Is k(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233566297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 11*l + 19. Let c(h) = 27*h + 37. Let p(d) = -2*c(d) + 5*n(d). What is p(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-165)\/5*4\/(-4) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/7 in 0.1, 2\/15, -4\/33, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -12. Suppose -u*f = -0*f + 3700. Round f to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6222034997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**5 + 60*j**4 - 200*j**3 + 90*j**2 + 205*j - 150 = 0?\nAnswer: -1, 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 260608 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 7141482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.07, 2\/5, -1.24, 0.3?\nAnswer: -1.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8a + 0?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2968405513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:02 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-10) + (-984)\/(-1640). Which is the nearest to 1? (a) 0 (b) r (c) 1\/34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 12. Put -3\/7, -2\/9, h in ascending order.\nAnswer: -3\/7, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = -4*n. Let s(p) be the second derivative of p**3\/3 - 2*p**2 + 2*p + 3. Calculate s(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -210012?\nAnswer: 210021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.04, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, 4, 25\/4, 0.25, 3\/5, -4?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(-38)\/(n**(2\/7)*n*n**3) assuming n is positive.\nAnswer: n**(-296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-8\/9)*(q**2\/q)\/q*q**(-2\/11)\/q*q assuming q is positive.\nAnswer: q**(-106\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 17*k + 4*k. Let n(c) = 8759*c**2 + 8*c + 65. Let f be n(k). Round f to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 93.25308l?\nAnswer: 93253.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*t - 3. Let z(w) = w + 1. Let u be z(t). Let f be (-2)\/5 + (-5502)\/u. What is f rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w - 10. Let l(q) = 4*q + 9. Calculate -2*l(p) - 3*s(p).\nAnswer: 4*p + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18250663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 65 = -3*f. Let m be (-1)\/(-5) - 24\/f. Solve -4*a = q + 4, -q = -2*a + m + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hq when two letters picked without replacement from qohmqqmhonhmnn?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3849*t + 3836*t = -585. Calculate the highest common factor of t and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - -64595?\nAnswer: 64582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**5\/75 - 3*v**4\/80 + v**3\/60 + v**2. Factor s(o).\nAnswer: (o - 1)*(8*o - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g + 80. Let d be r(16). Let i(m) be the third derivative of -11\/6*m**4 + d*m + 2*m**3 + 0 - 8*m**2 - 4\/15*m**5. Determine v so that i(v) = 0.\nAnswer: -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*((-1*sqrt(1573) - sqrt(1573) - sqrt(1573)) + 2) + (sqrt(325) + sqrt(325) + sqrt(325) + 3 + -2 - 6*(-1*sqrt(325) + sqrt(325) + sqrt(325))))**2.\nAnswer: -1368*sqrt(13) + 168984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2634*c**5*s + 123*c**3*s**2 + 7*c**2 - 3121*c*s**2 + 7 wrt c?\nAnswer: 158040*c**2*s + 738*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((21\/28)\/(-1))\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*o - 83. Suppose 0 = 5*n + o - 136. What is the greatest common divisor of 374 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 92*p - 91*p + 4*u, 0*u = -5*u + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821018?\nAnswer: 2, 11, 67, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10089 - 5891. Let c = q + 12475. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 3*h - 119 - 302, 2*h = -6. Suppose f*q - 39 = 73*q. What is the biggest value in 1\/3, q, 0.24?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 227 + -218. Suppose -u*f + 2887 + 1172 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 25*c = 141*c - 2856 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 214 - 507. Let o = k - -293. Which is the closest to 2\/7? (a) -19 (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + v - 1. Let p be 1 - 1 - 0 - 2. Let f be o(p). Suppose -x - 2*x + f*m = -153, -5*x - m = -283. What is x rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2058*2.\nAnswer: 0.4116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c + 2 = -49 - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2 + 2 + 9*i + 2*i**2 - 4*i. Let h be t(5). Solve -6 = 4*v + b, -5*v - 3*b - h = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllildddlllddilldld. What is prob of sequence ii?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5602 + 5608 - 16590 + 63*u**2 + 5380.\nAnswer: 63*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 10*q**2 + 3*q - 1. Calculate the remainder when 21 is divided by l(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3) - 25\/3. Let g = 4 + x. Let m be (-31)\/868*-70*2. Sort g, 3, m in decreasing order.\nAnswer: m, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 838292 and 376?\nAnswer: 1676584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/65 + 100322\/(-6695)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -5 (c) -2052\/13 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 5:53 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1230100 + 200?\nAnswer: -1223300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**0*s**(-2\/9)*s*(((s\/((s*s**(1\/2))\/s))\/s)\/s*s)\/(s**(-8)\/s)*(s**(4\/3)\/(s\/(s**(3\/2)\/s)))\/(s**(2\/13)*s\/s**2*s) assuming s is positive.\nAnswer: s**(1165\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v - 15*v + 7*v - 4*v**2 + 1 to z*v + h + g*v**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2 + 90189*q + 60078540 = 0.\nAnswer: -652, 30715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f**3 - f**2. Let h be 44\/33 - 2\/6. Determine b(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(57)\/sqrt(3))*-4)**2*-1*1.\nAnswer: -1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8 = 0, 0 = -2*l - 2*g + 7 + 3. Solve l*u = -3*u - 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110011 - -11111?\nAnswer: -11010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1 + sqrt(12))*1 - sqrt(24)\/sqrt(2)*-1)**2 + (sqrt(33) + sqrt(264)\/(sqrt(32)\/sqrt(4)))\/(-1*sqrt(396)).\nAnswer: -25*sqrt(3)\/3 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 835*m = 827*m + 3600. Suppose -16*o = -25*o + m. Solve -2*j + o = 46 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 4)*(-3 + 6 - 4) + 24 - 192 + 42)*(-3*x + 2*x + 0*x).\nAnswer: 124*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3 = 2*p + 3*a, 2*p + 4*a = -14. Solve -3*c - p*w - 10 = -8*c, 2*c - 4 = 2*w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 936 + -660. What are the prime factors of t?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from daaadaxxxdaaad.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 11*n**2 + 2561*n + 12978. What is v(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.61 or -2\/5?\nAnswer: -1.61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.350693 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11*b + 13. Calculate m(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-1043)\/(-180)) + 511\/292.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 + 80. Let i = 2 - 4. Let n(d) = -d**3 + 2*d**2 + d + 1. Let v be n(i). What is the greatest common factor of p and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, y: 2, u: 3, o: 2}. What is prob of picking 1 o, 1 y, and 1 u?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) -1 (c) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/110040 and 113\/630.\nAnswer: 330120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2 - t - 4. Let u(h) = 5*h**2 - h - 5. Let p(f) = 5*f + 51. Let b be p(-8). Let d be ((-1)\/3)\/(b\/(-132)). Determine d*a(w) - 3*u(w).\nAnswer: w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62.4 - -251.6. Let t = a + -627. Let o = t - -354.4. What is o rounded to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**2 - 57302728*l + 57302728*l - 7*l**2.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 34065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -4*q - 12, 1483*q = 1480*q + 4*y - 19 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0232 - -23.9768. What is the third smallest value in 0, -1, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1454.5 + -1550.02. Round c to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323 = 2*j - 207. Let i = j + -117. Suppose -6*o + 2*o = -i. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -81*z - 1162. Give o(-10).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4689, 0, -2 in descending order.\nAnswer: 0, -2, -4689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 8*h - 11. Let y be c(4). Let s(q) = -1 - 3*q + 2 + 3. Determine s(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 799, 3354, 7627, 13630, 21375?\n\"Answer: 2*a**3 + 847*a**2 - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhcxssja. What is prob of picking 1 j and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 2*l**4 - 19*l**3\/3 + 240*l**2 + 593. Find the second derivative of p(u) wrt u.\nAnswer: 48*u - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 9 = -3*x, 150 = -3*f + 3*x + 153 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1 + (-1 - 1 - 1)*(5 + 0 + 1))*(29*k**2 + 3 - 3).\nAnswer: -580*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(1\/5)*g))**21 assuming g is positive.\nAnswer: g**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/5)\/(122\/2774280). Calculate the greatest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*d = 9, -3 = 3*d - 12. Suppose j = -y - 1. Let l = 13 - j. What is the greatest common divisor of l and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (3 - 6)) + -5 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c*i**2*x + 85*c*i**2 - c*i*x - 1062*i**2*x - 33 wrt x?\nAnswer: -3*c*i**2 - c*i - 1062*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -373044945 by -335.\nAnswer: 1113567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1257 - 1124 + 2381 - 10*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 18 = -5*j, 4*z + 26 = 98*j - 93*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 7*h + 40. Let n be (-3)\/h - 196\/35. Let g(y) = -y**3 + 5*y**2 + 12*y + 4. What is the tens digit of g(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3*o = 8, 880*o - 881*o = 5*g - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.868630456062 less than -17?\nAnswer: -14.131369543938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 5. Let u = 8 - 13. Let t be i(u). Suppose 4*c + 3*y = 39, -c + 21 = -t*y + 3*y. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/10)\/(12\/(-40)). Let d = -3 + y. Solve -s - 1 = 2*h, -2*h - d = 4*s + 3*h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 5*k - 1. Let l be i(2). Suppose 0 = -l*v + 7 + 3. Put v, 4, 1 in increasing order.\nAnswer: 1, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2 - 70. Determine c(0).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12040 divided by 1?\nAnswer: 12040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -12, 119, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -22*i - 17. Calculate x(3).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2981 = -230*s + 3039 - 5348 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -894570 times 2.8?\nAnswer: -2504796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(8) - sqrt(16)\/sqrt(2) - sqrt(8)) + sqrt(5) - -5*(sqrt(5) - sqrt(10)\/sqrt(2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 9 + 57 = 0. Suppose a = -l - 5*l. Is -9 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4)*2*58. Suppose 6*r - u - 66 = r, 2*r - 3*u = a. Suppose -q = 3*q - 20. Calculate the remainder when r is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 2:24 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5037 by 1.\nAnswer: 5037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2959 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/12)\/((-8)\/(-18)). Solve n*v**2 + 1 + 1 - 5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-72) - (-679)\/6111)*(-40)\/(-155).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 - -0.97. Which is bigger: h or -5\/19?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d + 20 = -4*f, 2*d = 4*f + 14. Let r(s) = -s. Let m be r(-5). Suppose 3*b + 2 = -m*i - 10, -2*b - 8 = -3*i. Is b < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4632 + 6*v**2 - 65*v + 4700 - 9273. Let g(q) = 13 - 7*q + 0 + 3*q**2 + 16 - 25*q. Let j(x) = -5*g(x) + 2*u(x). Solve j(t) = 0 for t.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**2 + 4 - 11*r**2 + 5*r**2 + 4*r + 2*r**2. Suppose -2*m + 3*f - 33 = 2*m, -m - f = 3. List the prime factors of c(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(6000)*-2*-5 - sqrt(6000))*-2)\/(sqrt(1728)*-1 + (sqrt(12) - 5*(sqrt(12) + sqrt(48)\/sqrt(4)) - sqrt(12))).\nAnswer: 3 + 90*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 14*j + 20. Calculate n(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*g*x**3 + 62*c*g*x + 2*c*x + 2*g*x**3 + 2*x**3 + 18*x wrt g.\nAnswer: c*x**3 + 62*c*x + 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-645)\/165 - -6 - 2. Let i(s) = s**3 + s**2 + s + 1. Let y be i(0). What is the nearest to y in 13, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(98)*3.\nAnswer: -105*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39428 rounded to the nearest 1000?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-9))\/(6\/27 - 0). Sort -3, 5, w.\nAnswer: -3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 175 - 116.5. Let t = -59 + c. What is the biggest value in 0.4, -1, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 13*k = -10*k + 74223, 0 = -2*k - 2. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = a - 0*a - 5, a = 5*t - 11. Suppose -10 = -5*x, -3 = 3*z - t*x - 14. Put -0.008, z, -2 in descending order.\nAnswer: z, -0.008, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_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 2 - 398370962287?\nAnswer: -398370962285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-120)\/(-42) + (-3)\/(-21). Suppose 4*c + 3*p - 159 = 0, -y*p + 165 = 5*c - 6*p. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -28, -4, 40, 110, 212?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7530 and 27345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**2 + 7*f - 4. Let z(b) = -b. Let k(c) = -c**2 - 2*c + 1. Let j(w) = -k(w) + 2*z(w). Let a(v) = h(v) - 3*j(v). Is a(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 - 2 = 5*y. Let q(t) = 22*t**2 + 31*t**2 - y*t**2. Let o(z) = 2*z. Determine q(o(l)).\nAnswer: 108*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82663 is divided by 424?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 31*o + 8. Calculate the remainder when 115 is divided by r(16).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4117)\/(-358))\/(2\/(-4)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 79*g**2 + 73*g + 394. Let m be a(78). Solve -4*n - 2*p = 0, 0 = 2*n - 4*n - 3*p - m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 0.5 (b) 0.4 (c) -2\/3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53.999954 + 54. What is y rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - -45. Suppose 2*m = 2*x + 2 - 16, 5*x - 38 = 4*m. Calculate the least common multiple of x and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -162\/11 or -16?\nAnswer: -162\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.2, 787, 3, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 28867*m = 28872*m - 31, -2*c + 2*m = -14 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 at most as big as -34\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1)*n*n\/((n*n**(-49))\/n*n) assuming n is positive.\nAnswer: n**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 20 = 4*q. Suppose q = -2*g + 17. Suppose -g = -h - 0. Calculate the lowest common multiple of h and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 8497.\nAnswer: 8\/8497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21944.4251 and -3.\nAnswer: -65833.2753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/30 + (-8)\/180*3. Suppose 3*o = -2*o + 445. Suppose s = 3*b + n - 231, -5*n = b + 12 - o. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 15*b**2 - 525*b + 1095. What is i(33)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -49395\nAnswer: -29637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 244, 62, 4 in decreasing order.\nAnswer: 244, 62, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6 = 2*h - 6, -q + 5*h = 8. Suppose i - 20 = -4*r + 4*i, -2*r = i. Factor 2*o + 0*o + 4*o - 3*o**3 - o**q + 4*o**r.\nAnswer: -3*o*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1012*a**3 - 8*a. Let p(v) = -1013*v**3 - 9*v. Determine 8*p(t) - 9*y(t).\nAnswer: 1004*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 16 - -2) + 4 + -41?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-42)*1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {f: 4, n: 5, j: 2, v: 8}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 344 and 108360.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 24, 27?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1844135?\nAnswer: 5, 53, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**25*o**4*o**(-5)\/o assuming o is positive.\nAnswer: o**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34582.\nAnswer: 2, 17291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*p + 78 - 66, b + 4 = 3*p. Let o(r) = 1 - 2*r + r - 12. Let f be o(b). Let t(x) = x + 8. Calculate t(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539421 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 81*v**2 + 453*v + 2041. Determine s(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 888*u**2 + 15*u - 175. Is n(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*p - 2*f + 1, -7*f + 2*f = -2*p - 5 + 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 310 - (312 - 173)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-19)\/38)\/(22\/(-24)). Let -x*d**2 + 0*d + 2\/11*d**3 + 8\/11 = 0. Calculate d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**3 + 2*q**2 - q - 2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 260\/84 - ((-4640)\/672 + (-7)\/(-1)). Let r(m) be the third derivative of -25\/6*m**w + 0*m + 0 - 1\/4*m**5 - m**2 + 5\/3*m**4. Factor r(u).\nAnswer: -5*(u - 1)*(3*u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 254 - 222. What is the highest common divisor of 80 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = 23*t - 103 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 16*z + 79. Calculate the remainder when b(-10) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j - 3. Let r(c) = -1. Suppose -u - p = -6, 0 = -8*u + 4*u + 5*p + 24. What is u*r(o) - 2*m(o)?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(6)\/sqrt(2)*1) + 1 + sqrt(264)\/(sqrt(6) - (sqrt(42)\/sqrt(28) + sqrt(6))).\nAnswer: -3*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5396868 divided by 19.\nAnswer: -5396868\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, -38 in descending order.\nAnswer: -4, -11, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3660 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17814, 17799, 17768, 17721, 17658, 17579, 17484?\nAnswer: 17373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-720)\/12*556\/(-695).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82241.99 kilometers in centimeters?\nAnswer: 8224199000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - (-39200014)\/(-4)*-2. Let k be 4 + (6\/(-1) - 0). Let u be (4 - 4)\/k - d\/(-2). What is u rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1523.93 + 1443.9199. Let u = o + 80. What is u rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.344 minus -5?\nAnswer: 10.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + -0.35. Let t be ((-6)\/14)\/(45\/(-60)). Sort i, t, -0.2 in decreasing order.\nAnswer: t, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3897 is divided by 3839.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -17*w**3 + w**2 + w + 1. Let o be p(-1). Solve 15*u**2 - 4*u**2 + o*u + 15 - 8*u**2 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -9*c**3 - 13*c**2 - 15*c + 13. Let g(k) = 4*k**3 + 6*k**2 + 7*k - 6. Let v be (20\/(-4) + -1)\/(-1). Calculate v*l(w) + 13*g(w).\nAnswer: -2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 1\/95, -3\/4, 252\/19?\nAnswer: 252\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 10. Suppose 0 = -8*d + w*d + 60. Calculate the remainder when 45 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/30 and -70\/99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45147515.\nAnswer: 5, 7, 19, 67891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 12664234?\nAnswer: 50656936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(22)\/sqrt(2)))\/((sqrt(8) - -1*sqrt(1152)) + sqrt(8)).\nAnswer: sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in -0.3, 0, 5, 3, -13, -285?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12053 or 12054?\nAnswer: 12053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 2515434?\nAnswer: -2515425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 111010100010011?\nAnswer: -111010100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4)*x*x**2)\/(x**(2\/17)*x*x\/(x**(-4)\/x))*((x**(-6)\/x)\/x)\/(x\/(x**(-6)\/x))*x**(3\/8)*x*x\/(x*x*x**(-8)*x) assuming x is positive.\nAnswer: x**(-1699\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34673 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*sqrt(648)*5)\/(-4*(sqrt(4) + (sqrt(576) - (-2*sqrt(576) + sqrt(576)) - sqrt(576) - sqrt(576)))) + 5).\nAnswer: -90*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -26 - (4\/(-2) + 4). Let f = w - -11. Let l = -3 - f. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j + 6*j + 2046 = 0. What is the second derivative of -57*n**2 - j*n**2 + 109*n**2 - 123*n wrt n?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 + 103*q**2\/3 - 106*q.\nAnswer: q*(q - 3)*(q + 106)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fftnpllnnftifnn. What is prob of sequence pit?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 13*u + 8*u - 4)*(7*u**3 - 8*u**3 + 0*u**3).\nAnswer: 2*u**4 + 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -5 (b) 4 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.06 + 3. What is n rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*374\nAnswer: 2244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -131. Let v = 81 - u. Let t = 44 - v. Solve -3*s - s - 12 = 2*m, 4*m - 16 = t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyywwqwwjzjwyqywwy. Give prob of sequence jz.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 1. Find the second derivative of s - n*s**3 + s + 2*s**3 wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**5 - 3*q**4 + 14887*q**2 + 17*q - 827.\nAnswer: -40*q**3 - 36*q**2 + 29774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1681 - -1681.2. Let t = 8 + -5. Sort -0.5, i, -1\/5, t in decreasing order.\nAnswer: t, i, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 14 + 17*w - 9*w - w**2 - 5*w + 50. Calculate y(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*c**2 + 172*c - 172*c - 5)*((-2*c + 2 - 2)*(-1 + 1 - c) - 3 + 3 + 2*c**2 - 6*c**2 + 0*c**2 + 0*c**2).\nAnswer: -18*c**4 + 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93 + 0 - (22 - (13 + -23 + (22 - -16))).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.09 + 0.09. Let m = -3.8 - p. Let r = 2 - 3. What is the nearest to -1 in m, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -903827100 rounded to the nearest one million?\nAnswer: -904000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 66, 72, 80?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 22*v**4 - 98*v**3 - 152*v**2 - 103*v - 26.\nAnswer: (v - 26)*(v + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(44))*4)**2.\nAnswer: -128*sqrt(11) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4642256 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*k - 22*k + 4*k as s + w*k and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/2 + 120*x**2 + 462*x + 456.\nAnswer: 3*(x + 2)**2*(x + 76)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -14*p**5\/5 - 37*p**3\/3 - 15. What is the third derivative of d(t) wrt t?\nAnswer: -336*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163166 is divided by 960.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:34 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*d**2 + 29*d**2 + 7 - 7*d + 2*d - d**3 as r*d**2 + b + f*d**3 + m*d and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) - (-7)\/2. Let h(x) = x**2 - 4*x + 1. Let q be h(u). Let l(b) = b + 1. Let j(s) = s + 2*s**2 - s + s - 1. What is q*j(a) + l(a)?\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a + 1. What is w(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**5\/2 - 22863*p**4\/2 + 816428*p**3 - 3434892*p**2 + 4308440*p - 1225752 = 0. Calculate p.\nAnswer: -4643, 2\/5, 2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -568.\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 4\/3 (c) 0.4 (d) 0.189 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 149*h**2 - 1895*h + 61. Calculate v(14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 21*k**3 + 1305*k**2 - 1695*k + 432. Let o(y) = 11*y**3 + 653*y**2 - 848*y + 220. Let i(r) = -7*o(r) + 4*q(r). Let i(m) = 0. What is m?\nAnswer: -94, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c4 + 5?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*d - 2260 = -18*d + 38*d - 636 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -19\/3. Let f = 6 + -4. Suppose -h + f = -1. Sort h, s, -4\/3 in descending order.\nAnswer: h, s, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*f**2 - 3*f**3 + f**3 - f**3 - 32*f**2 + 5*f**3.\nAnswer: 2*f**3 + 244*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - 6*v - 106 + 24 = -23*q, 2*v + 10 = -8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*u = 9*u - 17*u + 1617415. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, o: 4}. Give prob of picking 3 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5520 = -4*l + 1356. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -237610*g**2 + g + 4857358 wrt g?\nAnswer: -475220*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12122301 (base 4) to base 12\nAnswer: 13269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*5*(sqrt(363)*-2 + 2).\nAnswer: -550*sqrt(3) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 x when three letters picked without replacement from hhxxhxhh.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44b + -95?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*g + 16 = 0, 0 = 5*d - 7*d - 5*g + 14. Which is the third biggest value? (a) 0.062 (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-203))\/((-476)\/4165)*(-400)\/(-250)?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (0 + -9 + 17) - (6 + 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24306815?\nAnswer: 5, 13, 373951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -530, -1671, -4038, -8243, -14898, -24615?\nAnswer: -38006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -4) + (3 - -4 - 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -8. What is the third derivative of -3*c**2 + 36*c**3 + 8*c**6 - d*c**3 wrt c?\nAnswer: 960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -1\/4 (c) 218\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4259, 4016, 3745, 3446, 3119, 2764, 2381?\n\"Answer: -14*y**2 - 201*y + 4474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 3762 - 1032 = 0. Calculate the greatest common divisor of w and 1365.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 7:15 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**7\/2520 - a**5\/60 - 4*a**2. Let l(c) be the third derivative of h(c). Let f(j) = -4 + j**2 + 4. Calculate f(l(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d - 1 + 2*d + 2*d**2 + 4*d - 1. Calculate the lowest common multiple of 20 and v(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 12*f. Let b be (-7 - 1)*(-3 + 4). Does 16 divide p(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-1)*-1)\/1. Let n(j) = -j**2 + 5*j - 1. What is the units digit of n(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1986742, -3973500, -5960258, -7947016, -9933774, -11920532?\n\"Answer: -1986758*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - -136. Let i = y - 122. Let n = -0.8 - 0.2. Which is bigger: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + 6*q + 3. Let z be t(-2). Let n be (6 + -3)\/(1\/((-2)\/(-6))). Sort z, n, 4, 0 in increasing order.\nAnswer: 0, n, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 1275.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*s - 14 = -6*m, -s + 18 = 3*m. Suppose 15 = m*j - 15. Suppose -3*p = 6, -a + 2 = j*p - 3*p. Solve 2 + a = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/3477 and 11\/14518.\nAnswer: 827526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 7 + 96*u**2 + 16*u**3 + 5 - u**4 + 4*u**4 - 2*u**4 + 256*u. Factor j(q).\nAnswer: 4*(q + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c**5 - 680*c**4 + 8490*c**3 - 21400*c**2 - 4625*c = 0.\nAnswer: -37, -1\/5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 2\/9*i**4 + 0*i**2 + 1\/63*i**7 - 8*i + 0 + 4\/45*i**6 + 1\/5*i**5 + 1\/9*i**3. Solve w(v) = 0 for v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -28*g**3 - 8*g**2 - 25*g + 5. What is the hundreds digit of t(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 14423140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 20, 16, 18, 32, 64?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(80)\/sqrt(64))\/(5*2*sqrt(640)).\nAnswer: -sqrt(2)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -42043*h - 210213. Let g be y(-5). Factor -66\/5*l + 2\/5*l**g + 0.\nAnswer: 2*l*(l - 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) 48\/5 (c) -0.3 (d) -4634\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*s - 129*s - 273*s + 96*s - 97*s.\nAnswer: -473*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-693)\/(-36) - (-15)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9326*n - 7. Let j be x(3). Let p = -839027\/30 + j. What is the common denominator of p and (-48)\/12 + (-168)\/(-9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2744332 divided by -26644?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7)*v\/v**(1\/9))\/(((v**(2\/23)\/v)\/v)\/v**0)*(v**0)**39\/(v**1\/(v**0*v)) assuming v is positive.\nAnswer: v**(4474\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.237 and -0.6.\nAnswer: -1.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 991084266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 58 + -4?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 48, 182, 378, 636, 956?\n\"Answer: 31*f**2 + 41*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*n + 8*n - 9*n)*(-n + 4*n + 2*n) - 11*n**2 - 2*n + 2*n.\nAnswer: 59*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17434*n**2 + 464*n + 3 - 17442*n**2 + 17*n - 3 to the form i + x*n + t*n**2 and give x.\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 104*i**3 + 6*i**2 + 6*i + 402. Let s(q) = 416*q**3 + 23*q**2 + 23*q + 1614. Let f(r) = -23*b(r) + 6*s(r). Find the first derivative of f(p) wrt p.\nAnswer: 312*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + 0.3. Let g be -2 + 2 + 91\/150. Let j = g + 3\/50. Which is the third smallest value? (a) -0.4 (b) j (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12711 and 10035?\nAnswer: 190665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-328)\/11 - 0 - 10*(-33)\/(-1815)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-27))\/(100\/225)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/10)\/(212\/(-20)). Let n = 15697075\/106 - 148087. Let m = u - n. What is the third smallest value in -2, m, -6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.16 - 0.16. Let a = v + -18. Let j = -15 - -13. Are a and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**3*u**3 + 352*f**3*u + f**3 - 3*f**2*u**3 - 51*f*u**3 - 2*f*u + 2*u**3 wrt f?\nAnswer: -18*u**3 + 2112*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**4 + 2*c**3*q - c**2*q + 2*c*q - 8*c - q wrt c.\nAnswer: -12*c**2 + 12*c*q - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1865\nAnswer: -1\/1865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 = 1. Suppose y*c + 9 = 61. Suppose -4*q = -f + 25, -q = 3*f - 4*q - 48. Calculate the highest common factor of c and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5417890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -344, -756, -1320, -2030, -2880, -3864?\nAnswer: -4976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*k**4 - 76 + 4*k**2 - 4*k**2 - 3 - 46*k**4 wrt k.\nAnswer: -124*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1)*1\/(-7)*1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(11\/5))\/h)**0\/(h**(5\/3)*(h\/((h\/h**30*h)\/h))\/h*h))**(-1\/12) assuming h is positive.\nAnswer: h**(95\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 13 - 35*h + 31*h + 45 + h.\nAnswer: -3*h + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from cfcfffmmfgcgf?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001369172 to 6 decimal places.\nAnswer: -0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 2617 + 2617.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = w - 12, 7*w = -5*h + 3*w - 36 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 336, 796, 1528, 2586?\nAnswer: 4024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -124, -39, -3, 1 in increasing order.\nAnswer: -124, -39, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2224 + 1445?\nAnswer: -aac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from wakaaqakqaawkgg?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**3\/3 + 3796070*d**2\/3 - 56941412*d\/3 + 167028400\/3 = 0?\nAnswer: -1898050, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 18*r**2 - 21*r + 11. What is b(19)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**4 + 2221*q**3 + 1821*q**2 wrt q.\nAnswer: -24*q + 13326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 447, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/40 and ((-27)\/(-594))\/((-20)\/81).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-18) + 5508\/3645\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -31. Suppose -a + b*l = -13, -l + 3*l - 6 = -3*a. Find the second derivative of -13 - 13*i - 4*i**a + 13 + 13*i**4 wrt i.\nAnswer: 108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43728143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a second in milliseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/((-2)\/24). Let m be c\/15 - 62\/(-5). Let j be ((-6)\/m)\/((-10)\/4). Sort -3, 0.5, j in decreasing order.\nAnswer: 0.5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5 + 43 = 0. Let u(k) = 2*k**2 - 5*k - 26. Let t be u(6). Let n = t + z. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 + -27?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -536 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34534.85 nanoseconds to seconds.\nAnswer: 0.00003453485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 10 + 0 + 0 - 2 + (-3 + 4 + 1)*(4 - 2 - 3) + 1 - 3 + 3 + 1 + 1 - 1 - 1 - 2 + 2 + 0 - 1 + 2)*(-3*f**3 + 7*f**3 - 3*f**3).\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 33.8839578s?\nAnswer: 0.0000560250625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177 divided by 33167.\nAnswer: -177\/33167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2196597 is divided by 3649.\nAnswer: 3548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b**2 - 234*b - 883. Calculate q(49).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510 is divided by 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -z + 1166379 - 449378, 3*z + 238997 = -i. What is i rounded to the nearest 10000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-23)\/2)\/(2599\/(-452)). Let t(c) be the first derivative of 31\/2*c**b - 14\/3*c**3 - 13 + 0*c. What is the second derivative of t(o) wrt o?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 122 + 106635?\nAnswer: 110060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1660)\/166)\/((9\/(-3))\/(-9)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38415, 38414, 38413, 38412?\nAnswer: 38411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i + 2. Let k(d) be the third derivative of -d**6\/120 - 7*d**5\/60 + d**4\/4 - 2*d**3 + 14*d**2. Let v be k(-8). Determine o(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22 - 35006.\nAnswer: -35005.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppsppppppspppsspppp. What is prob of picking 2 p?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*y**2 + 7588*y - 22440.\nAnswer: -4*(y - 3)*(9*y - 1870)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*g + 30*g + 17 + 21*g + 38*g + 26*g - 138*g.\nAnswer: 13*g + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 7729, 11\/2, -2, 0.5, -0.4.\nAnswer: -2, -0.4, 0.4, 0.5, 11\/2, 7729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5845864 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.8463 (b) -11\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.58, -4\/9, -2\/3, -2\/11, -3 in descending order.\nAnswer: 2.58, -2\/11, -4\/9, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from fsffddffdfdddd.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2319426 + 249.\nAnswer: 2319675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*t - 3*k + 22, -5*t - 5*k = -60. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*g + 8 = 0. Let u = 4 + 2. Suppose 2*v - u + 0 = 0. Solve g*y = -3*q + 5, -6*y + v*y = -2*q + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-24)\/((b*(b*b**(-21))\/b)\/b))\/(b**(-12)\/(b\/b**(8\/3))))**(-27) assuming b is positive.\nAnswer: b**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48629, 97488, 146347, 195206, 244065?\nAnswer: 292924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -1\/12*u**4 + 0*u**2 + 0*u**3 + 0 + 6*u. Let l(k) = 2*k**2. Give n(l(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 158?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from {l: 2, d: 1, r: 3, g: 7, a: 3, e: 2}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-222)\/(-777)*(-14)\/130. Is t greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/3)\/6*-2 + 14 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6554+-0.011\nAnswer: -6554.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 619*h**7\/70 + h**6\/60 - 385*h**3\/3 - 6813*h**2. Find the first derivative of b(s) wrt s.\nAnswer: 7428*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -545480 = -17*g - 48*g. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + d + 1. Let q(m) = 8*m**2 + 4. Calculate -q(h) + 5*w(h).\nAnswer: -3*h**2 + 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -61, 0.07, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0 + (-1 + 2 + 4)*(1 + 0 - 2))*(-4*t**3 + 5*t**3 + 5*t**3 + 2*t**2) to o + y*t + x*t**2 + j*t**3 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g - 27*g - 396 = 0. Let a be 2\/(-9) - 4972\/g. What is the highest common divisor of 150 and a?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (131\/3537)\/(2\/12*2)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*d + 894, -2*l + 507 = -5*d - 74. Let u = 189 + -15. Suppose 5*r - u - 81 = 0. What is the remainder when l is divided by r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/30 and 69\/1375.\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -3\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12\/5 + -2. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 145, 1231, 4175, 9907, 19357?\n\"Answer: 155*a**3 - a**2 + 4*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*h + 12 = -89*h - 4*w, 0 = -w + 1 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*2\/(378\/1053).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, r: 2, y: 2, d: 2, n: 8}. What is prob of sequence dmnr?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q + 6. Let o be j(-3). Suppose -55*k + 51*k + 32 = o. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 9 - 2)*(-80*o + 151*o + 33*o).\nAnswer: -1768*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, 0, 4, 2, -1, 10 in decreasing order.\nAnswer: 146, 10, 4, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 0*s**2 + 3*s**2)*(-4 - 3 + 5 + (2 + 1 - 7)*(-4 + 0 + 3)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208005262.\nAnswer: 2, 79, 719, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-624)\/(-1092)*-14*2\/(-8)*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2271, 7796, 13321?\n\"Answer: 5525*u - 3254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/(-9))\/(2\/3). Suppose 3*n - 4*n = b. Let g(s) = s**3 + 4*s**2 + 6. What are the prime factors of g(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvavvaava. Give prob of picking 3 a.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1222965 to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16 - (-2)\/(0 - -2). Calculate the greatest common divisor of 34 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -4, -405127, -2\/11, 68.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -44.\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 730.11384 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 - 30. Suppose -54 = 4*j - l. Let h be 5 - 9*(-3)\/j. Solve 1 + h = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -13. Let q = -28.5 + 35. Let o = q - 6. What is the third biggest value in o, 0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62781 - -1436?\nAnswer: -61347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11438858?\nAnswer: 2, 17, 336437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 299 = 276. Suppose j + 13 = 5*v - o, 4*v - j = 103. What is the remainder when v is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(126)\/sqrt(108))\/(sqrt(6) + (sqrt(6) - (sqrt(150)*-3 + sqrt(150)))).\nAnswer: sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 34*x + 1. Let z be w(-3). Let q = -482 - z. Is q\/(-6) - 3\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 y, and 2 u when four letters picked without replacement from yuuybryhbysbrybhbuhu.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -9\/2, 9, 2 in decreasing order.\nAnswer: 9, 2, 0.3, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 + 15 = 3*y - 5*t, -4*t = -5*y + 268. What is the remainder when 270 is divided by y?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 6 - (0 + -1)) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128749.\nAnswer: 128749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - z - 16 = 0, 5*k + z = -196 + 168 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2292*x + 4735. Determine p(2).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 34.9. Let q = o - -0.04. Which is smaller: 5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -1\/2*x**2 - 7\/24*x**4 + 1\/60*x**5 + 0*x + x**3 + 2. Let o(p) be the second derivative of v(p). Calculate o(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v**3 - 9*v**2 - 5*v - 7. Let k(s) = 3*s**3 - 3*s**2 - s - 2. Calculate 7*k(d) - 2*y(d).\nAnswer: 7*d**3 - 3*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + 50 + (10 + -10 - -25).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o - 874 = 114*o + 2299 + 4395 for o.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 141.7 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 9:23 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - j + 1. Let x(q) = q**2 - 2*q. Calculate -2*h(c) + x(c).\nAnswer: 3*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 18*j + 17\/12*j**5 + 0 + 0*j**4 - 55\/6*j**3 - j**2. Differentiate d(y) wrt y.\nAnswer: 170*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43 * 10.9149.\nAnswer: 469.3407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, -24, 0.1 in increasing order.\nAnswer: -24, -0.3, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -2*i - 1 + 0*i**3 - 1\/6*i**4 + 0*i**2. Let o(g) be the first derivative of l(g). Let u(y) = 2*y**2. Give u(o(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119, -5, 10, 1, -14, 4, -21 in decreasing order.\nAnswer: 119, 10, 4, 1, -5, -14, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 9) to base 7\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1907722.8 months in years?\nAnswer: 158976.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48445258*q**3 - 6098837*q**2.\nAnswer: 290671548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2640 + 7051. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywbynmeyynymnee. Give prob of picking 2 y, 1 e, and 1 w.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 6818 = -7*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/19, -2\/3, 4, -0.2, 42?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*w**3 + 16*w**3 - 7*w**3 + (w - 2*w + 0*w)*(130*w**2 + 3067 + 32*w**2 - 3069) to the form y*w**3 + u*w**2 + z*w + f and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/(-14))*(318 - 316)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -29. Find u such that 3 - p*u**4 + 46*u**2 - 26*u + 0 - 6*u**3 + 1 = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24189\/13243 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkyhhhyyyhohlk. Give prob of picking 3 h.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 9*w - 2. What is f(11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -618, -5, -35 in descending order.\nAnswer: -5, -35, -618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481 is divided by 97?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 101001110100111111010101?\nAnswer: 101001110100111111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 9. Let w be g(9). Suppose -c + 28 = 2*a, w = 4*a - 3*c - 65 + 9. Suppose -m + 6 = i, -2*m = -3*m + 4*i - a. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 2*x - 14. Calculate m(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(9\/(-6)) + 6. What is the third derivative of -q**4 - 3*q**4 + 2*q**2 + 5*q**n + 3*q**4 wrt q?\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 10:00 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/t**(-7)))\/t*t*t*t)\/(t**(1\/4)*t))**18\/((t**(-1\/5)*t)\/((t\/(t**(-9)*t))\/t*t))**5 assuming t is positive.\nAnswer: t**(-143\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/10 - (-69)\/15. Let u = d + -2. Suppose -u*h = -14 - 1. Solve -24 = -x + h*w, 6*w - w + 23 = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -253 + 377. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-10))\/(2\/(-24)). Suppose -4*q - d + 190 = 0. Let g be 30\/10 + q\/(-14). Which is greater: g or -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 12:01 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1563521\nAnswer: 2\/1563521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2 - 1074*n - 7420 = 0.\nAnswer: -530, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27071*d**2 - 13987*d**2 - 13089*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 12:47 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 327330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/3 smaller than 2010480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 x, and 1 d when three letters picked without replacement from xiisyssyyikksyd.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 2*y - 3. Let j be (0 - 1)\/((-4)\/8). Let u be v(j). What is the second derivative of 6*l + 2*l**u - 8*l**5 - l wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (-1740)\/90)\/(116\/(-6))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1342 (base 13) to base 2\nAnswer: -101011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/40 and -95\/10494464.\nAnswer: 52472320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 622*z**3 - 2*z + 638 wrt z.\nAnswer: 1866*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 0*t**4 - 1\/12*t**5 - 4\/3*t**3 + 0 + 5*t**2 + 0*t. What is the first derivative of o(q) wrt q?\nAnswer: -10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1287360 divided by -40?\nAnswer: 32184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 308 + -307. Let n = -381102 + 24772844\/65. Let l = n - 222\/13. Is y >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 77.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-390)\/4))\/(2\/10).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597453 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 20. Determine f so that -m*f**2 + 12*f**2 - 5*f**2 + 5*f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6270 divided by 30?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167909 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-540)*-2)\/(-1)*10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 861098323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**3 + 22*t**2 - 8*t + 65. What is the lowest common multiple of u(5) and 760?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -761 - -1181. Let k = -415 + r. Solve -5*y + 40 = -5*g, -5*g - k*y + 2*y = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 139, 5, 23, 1 in ascending order.\nAnswer: 1, 5, 23, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbgbuuuggqgqgqqqq. What is prob of sequence ubq?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 2, k: 2}. Give prob of sequence ka.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 3*l + a = 387, -2*a = -l + 84. What is the remainder when 227 is divided by l?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21170 - -21175. Sort 47, 22, 2, q.\nAnswer: 2, q, 22, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 5*b - 6. Let d be x(6). Solve -3*p - p = d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1625576 is divided by 314?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 5, f: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 349 = 249. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 930153, 1860305, 2790445, 3720567, 4650665, 5580733, 6510765?\nAnswer: 7440755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**3 - 2269*k - 3*k**2 + 2269*k - 47 - 7*k**3 - 20*k**5 wrt k.\nAnswer: -1200*k**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2*12\/(1 + -3). Which is the second smallest value? (a) 3 (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21\/184 - 137327\/552. Which is bigger: -249 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 g when four letters picked without replacement from {e: 3, t: 1, w: 8, g: 6, x: 1}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -331 by -12492.\nAnswer: 331\/12492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from ookkkok?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 619 - 149 = -99 - 42 for s.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -211*q**2 + 212*q**2 - q**3 - 18 - 20*q + 21*q + 17. Let u(d) = -4*d**3 + 6*d**2 - 6*d - 6. Determine u(v) - 6*z(v).\nAnswer: 2*v**3 - 12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = j + 2*j - 11, 0 = 2*d - 4. Suppose y = -j + 6. Suppose 2*f = -y*f. Solve -4*z + f*a - 5*a + 36 = 0, -24 = -4*z - 2*a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/1092 and 43\/2366.\nAnswer: 14196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2678 + -2673. Sort -1, 65, y, -3.\nAnswer: -3, -1, y, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139856?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) + (-2)\/(-6). Suppose 10 = 3*b - 4*c, 5*b + 0*c + c = 9. Suppose -b*r + 0*r + 52 = 4*o, p = -r + 5*o - 2. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cll when three letters picked without replacement from cfflvbfvfvl?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 - 5*y - 1. Suppose 5*u + 2 + 4 = -4*r, -r + 3 = -u. Let w(i) = -i. Determine r*j(x) - 4*w(x).\nAnswer: -2*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2310 and 550.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 250 and 1536400?\nAnswer: 7682000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Suppose 4*t + i*g - 156 = -0*g, -190 = -5*t - 4*g. Let -t*n**2 + 2*n**3 + 3*n**3 - 40 - 20*n - 27*n**2 + 71*n**2 = 0. Calculate n.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 11:40 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 200 divided by 10\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 8:34 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**4\/4 + 2*d**3\/3 - 192*d**2 + d - 2. Let n(t) = -5*t + 3. Calculate 3*l(z) - 4*n(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -u - 6, -3*j + 5*u + 55 = 0. Suppose -319 = -2*b + j. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -6400\nAnswer: -17\/3200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/((-18000)\/60))\/((-6)\/(-16))*(-6)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-21))\/((-138)\/(-2898)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -367048.88595 and -0.03079?\nAnswer: 367048.85516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 - y**2 + 3*y**2 + 6 - 4*y**2 - 6 + (y - y + 2*y)*(3*y - 3*y - 2*y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10661 (base 9) to base 13\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46863*w + 47425 wrt w?\nAnswer: -46863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7592, -29324, -65502, -116108, -181124, -260532?\nAnswer: -354314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*c + 147 + 173 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1118*z - 1101*z + 2221*z. Let q(b) = -24*b - 2. Let o(g) = g. Let v(k) = -3*o(k) + q(k). Determine v(h(c)).\nAnswer: -54*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1185)\/(-25))\/(255\/50). Let s = v - 479\/68. Let -3\/4*x**3 - s*x + 3\/4 + 9\/4*x**2 = 0. Calculate x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-23))\/(d*d**(10\/11)\/d))\/(d**(2\/5))**(-2\/47) assuming d is positive.\nAnswer: d**(59734\/2585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -567, -553, -539?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4, 367, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 12798.\nAnswer: 12798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 832894*j**3 + 981*j**2 - 121*j.\nAnswer: 4997364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1. Let j(g) = g**2 - 12*g - 14. Let z(n) = -2*n**2 + 22*n + 26. Let s(d) = -11*j(d) - 6*z(d). Calculate -5*r(w) - 4*s(w).\nAnswer: -4*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81*f**2*n**2*p**2 - 3*f**2*p + f*n**2*p**2 + 271*f*n**2*p wrt p.\nAnswer: -162*f**2*n**2 + 2*f*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.7, 0.1, -4\/7, 0.05753, 3\/4?\nAnswer: 0.05753","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7305*c**2*r - 68*c**2 + c*r + 2 wrt r?\nAnswer: -7305*c**2 + c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1800 + 1825. Solve -t - 30 = -m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-4) - 12\/(-8). Which is greater: j or -30?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from {c: 1, u: 2, y: 3, g: 1, w: 5, h: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 346 + -345.9. Suppose u = -s + 6*s + 20, -2*s + 10 = -4*u. What is the nearest to -1 in 5, u, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 34. Let n = -16 + 31. What is the units digit of k(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 125 = 3*m. Let o be (-2)\/(-5)*m\/40. Let y = -492\/3367 - 2\/259. Which is the closest to -1? (a) 3 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1196, -0.02, -3\/2 in descending order.\nAnswer: -0.02, -3\/2, -1196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 bigger than 90578\/1849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*i**5 + 2499*i**4 + 3436*i + 6 wrt i?\nAnswer: 140*i**3 + 29988*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353214 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16133730 divided by -101470\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1005.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**3\/9 + 16*a**2\/9 - 22*a\/9 - 40\/9 = 0.\nAnswer: -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -600 + 596. Sort -3, 4, -2\/9, l in descending order.\nAnswer: 4, -2\/9, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8958 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 4*b + 18 - 34)*(-3*b + 4*b + 0*b).\nAnswer: 4*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**5\/20 + 4*a**3\/3 - 14*a**2. Differentiate c(k) with respect to k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80*((351\/26)\/9)\/((-20)\/8)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 237 by 6242.\nAnswer: 237\/6242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1807827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 - 74*u - 104. Let q be g(-36). Let w be q\/(-17) - (-44)\/374. Which is greater: 8 or w?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, t: 9}. Give prob of sequence dd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 68070.34 millennia?\nAnswer: 816844080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 51*d**2 - 4*d - 3. Is j(-1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 8. Let b(o) = o + 4. Determine -7*b(q) - 3*g(q).\nAnswer: -q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.9 + 2. Let d be 312\/14 - (-2 + 5). Let h = d + -19. Which is the closest to -5? (a) h (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w**4 + 55*w**2 + 45*w + 10 = 0 for w.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 15*n + 30880 = 2*n. List the prime factors of n.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1810, 10300, 33346, 78226, 152218?\n\"Answer: 1213*j**3 - j + 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -34846 smaller than -139381\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26355 divided by -18?\nAnswer: -8785\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {s: 2, u: 1, z: 2, x: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 36*i**2 - 67*i + 1122. Determine c(35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1296828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 12*d**2 - 60. Let s(t) = 3. Let y(x) = o(x) + 20*s(x). Let f(b) = -b - 4. Give f(y(k)).\nAnswer: -12*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 4 + 2 + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u. Let c(s) = -4791*s**2 - 47. What is c(n(b))?\nAnswer: -479100*b**2 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = 48*g - 44*g. Let m = -55 + g. Solve 3*w**3 + 0 - 48\/7*w**m + 12\/7*w = 0.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o**3 + o**2. Let m be k(1). Let i = m + -6. Suppose 0 = -i*s + 22 - 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14\/17 - 79\/34. Which is the fourth smallest value? (a) q (b) 2 (c) -2\/9 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5.157285t?\nAnswer: 5157285000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 3\/2)*(1880\/120 - 15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 7*m - 20. Let x = 6 - m. Let q = x - 5. Sort 3, q, -5 in ascending order.\nAnswer: -5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 83, 167, 251, 335, 419?\n\"Answer: 84*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29202508 minus 1569?\nAnswer: -29204077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + 41616\/(-476) - -59.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 884*t**2 - 23992*t + 20555. Give a(856).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14322\/264 - 13)\/(3\/(-2)) + 0.\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/15*6\/(-4))\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, g: 1, i: 2}. Give prob of picking 1 i and 1 h.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 3*w**2 + 2*w**2 + 2*w**3 + 4*w**2.\nAnswer: 2*w**3 + 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3010223210 (base 4) to base 8.\nAnswer: -3045344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.88 + 32. Let r = -0.12 + f. What is the second biggest value in 0, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -409 + 1326. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3\/3 - 2869*x**2\/3 - 11464*x\/3 - 3820 = 0. What is x?\nAnswer: -2865, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32001011131 + 2?\nAnswer: -32001011123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498 is divided by 65?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 20. Let d(j) = j**2 - 6*j + 4. What is the units digit of d(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5368, 3, -9, 1, 0 in decreasing order.\nAnswer: 5368, 3, 1, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200056 divided by -50014.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.338042 to two decimal places.\nAnswer: 1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 3*n - 15)*(n**3 - 4*n**3 + 2*n**3 + (4*n - 4*n + 5*n**3)*(-4 + 3 - 2)).\nAnswer: -48*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -61603\nAnswer: 9\/61603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - 26*q**2 - 81*q + 242. Is a(26) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1300496t in micrograms?\nAnswer: 130049600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 2 - ((-1)\/3 - (-1100)\/(-66))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 - 2*w**2 - w - 11 + 4*w + 2*w. Let p be a(-9). Let m be ((-10)\/(-15))\/(4\/30). What is the greatest common divisor of p and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135248 - 750288 = 10880*v + 48640 for v.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b - 8. Let z be m(6). Let f = -1 - -7. Let x = z - f. Solve -x*p = p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 9*h - 3*h - 5*h.\nAnswer: -17*h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*388*(126\/8)\/(-7)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 36*s - 13. Let p be z(-35). Suppose 4*x = -6*u + 5*u + p, -3*x = -u + 15. Solve -14*d + u*d + 8 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -178 - -416?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -41 - (290 + -295 - (1 + 7))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 take away 18057?\nAnswer: -18057.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**3\/6 - z**2\/2 + 2*z. Let s be j(-1). Which is greater: s or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x - 3*x + 10 + 9*x)*(4 - 3 + 12).\nAnswer: -13*x + 130","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 66488339 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: -7345038 * -116\nAnswer: 852024408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2555*b - 53487. What is k(-21)?\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/7 of a week in minutes?\nAnswer: 92160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**2)\/j)\/(j\/(j\/(j**(-1\/6)\/j))))\/(j**(1\/4))**(22\/9) assuming j is positive.\nAnswer: j**(-13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.7 + 7.3. Let p = -592.35 - -633. Let j = i - p. What is j rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.0878583 to 2 dps.\nAnswer: -15.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24845 - 5?\nAnswer: -24850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 4. Suppose -2*o - o + 5*i = -7, -o = -2*i - 4. Let c be k(o). Solve 10 = x - c*d, 2*d = x - d - 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11394967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 - -9 - (2 - -11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30.5 - -29.5. What is the nearest to v in 2, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 13 - 72 = -3*r, 0 = 5*i + 3*r - 73. Let k = -11 + i. Suppose 0 = k*c - 5*c + 1058. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*b = 11583, -140*b + 46360 = 4*x - 135*b. Is 68 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 9:45 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/7, 50072, -2 in decreasing order.\nAnswer: 50072, 1, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogxogbjbbjbe. What is prob of sequence joo?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/14)\/v**28*v\/((v\/v**(-17))\/v)*v*v**(-1)*v)**5 assuming v is positive.\nAnswer: v**(-2995\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g + 4*g - 4*g - g + 2*g + g + (-3 + 0 + 4)*(2 - 2 + 3*g) as j + z*g and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1420 - 39257*f**3 - 19*f**2 - 7*f**2 + 39244*f**3 wrt f.\nAnswer: -39*f**2 - 52*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 34*b**3 - 6*b**2 + 2*b**2 - 2*b + 33*b**3. Give c(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 69 and 2373.\nAnswer: 163737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -205 (base 8) to base 9\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 25*a**2 - 26*a - 2668. List the prime factors of i(-48).\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/10)\/((-4)\/50). Let v = -11 - -29. Let j = v + h. Solve -x = x + j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + r**2 + r**2)*(11 + 5*r**2 - 11)*(-7*r - 10*r - 2*r).\nAnswer: -285*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/15)*x**(4\/5)*(x\/x**(-1\/4))**27)**(-42))**(-25) assuming x is positive.\nAnswer: x**(72835\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-20) - (-30)\/(-360).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*c = -2*i + 19, -4*c = -i + 27. Let j(x) = x**3 + 6*x**2 - 9*x. Let r be j(c). Is ((-581)\/r)\/((-2)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -285399674, -570799347, -856199020, -1141598693, -1426998366, -1712398039?\n\"Answer: -285399673*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5664\/64 + 6\/4 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1295.8 + -1296. Let m = -7\/27 - 2\/27. What is the fourth smallest value in 8, m, f, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6466, 1, -4 in descending order.\nAnswer: 6466, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -13*l. Suppose d + 16 = -3*z, z + 2*z + 18 = -3*d. What is the remainder when 25 is divided by x(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.1? (a) -2\/5 (b) -2 (c) 631\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.776 + 5.776. Let k be (-3 - 0)\/(-3) - 0. Sort q, -2, k, -0.11.\nAnswer: -2, -0.11, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 - 11. Suppose l = i + 4*i. Suppose i = 5*k, y + 0*y - 14 = 2*k. Does 22 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 840 and 36183.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 16*g**2 + 27*g**2 - 1 - 15*g**2)*(-24 - 77*g + 150*g - 75*g).\nAnswer: 8*g**3 + 98*g**2 + 26*g + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43389 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2*3\/(-24) + 10\/56\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccpca. Give prob of picking 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3025502.11 - 3122?\nAnswer: 3022380.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of ((-1018)\/(-3))\/((-4)\/(-66))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*d = -3*u + 22, 0 = 2*d + 12. Suppose -78*l + 6*l**u - 2\/13*l**3 + 338 = 0. Calculate l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - 17. Let k = -186 - -133. Let p = q - k. What is the highest common divisor of 50 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -286, 8, -5, -58, 10 in ascending order.\nAnswer: -286, -58, -5, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56119?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 738*t**4 - 8 - 723*t**4 + 27 + (-2 + 2 - 5*t**3)*(-6 - 3*t + 6) to f*t + c*t**2 + o*t**3 + n + d*t**4 and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + p. Let y(s) = 34*s. Give -34*a(u) + y(u).\nAnswer: 34*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3 + 15. Factor 6*f**2 + f**y - 2*f**3 - 10*f**3 - 5*f**4 - 14*f**2.\nAnswer: -4*f**2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3480, -6904, -10278, -13584, -16804, -19920, -22914?\n\"Answer: 3*k**3 + 7*k**2 - 3466*k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*l = 3*u + 56, 40 = -3*u + 2*l. Calculate the common denominator of 131\/6 and u\/(-3) - (-3)\/(84\/110).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g + 17. Suppose -g*h = -11*h - 125. Calculate the greatest common factor of h and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3798 and 26?\nAnswer: 49374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -855.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -10*s + 5*x, -24*s = -11*s - 12*s + 2*x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m. Let b(n) = n**2 - 3*n - 3. Let i(w) = -b(w) + 2*q(w). Let y = -19 + 25. Calculate the remainder when y is divided by i(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3534 * 0.131.\nAnswer: -0.0462954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y - 256. Let u(w) = -3*w + 264. What is 4*l(f) + 3*u(f)?\nAnswer: 3*f - 232","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.4, 0.25, -2\/21, -3\/8?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*m + 10*y - 7*y, 5*m + 5*y + 30 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + 5 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(6*(-3)\/(-18)). Solve 4*g - j*c = 15, -5 - 7 = g + 4*c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124 (base 5) to base 12.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/18929022 and 35\/18?\nAnswer: 56787066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 32.194, -1\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.06361436 to zero dps.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -314879, -314427, -313975?\nAnswer: -313523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - i**2 + 7*i - 3. Let t(z) = -z**3 - 8*z + 3. Let b(q) = -4*j(q) - 3*t(q). Let y(o) = -o**3 - 6*o**2 + 2*o + 15. Let d be y(-6). Determine b(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1951 and -38\/3.\nAnswer: 5853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 4*n + 331 = 320, -2*w = 36*n - 142 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + (-1 - -2))\/(40\/280). Suppose t - 5*v = 287, -k*t + 18*t - 2*v = 1148. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1926391 is divided by 1849.\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179 + -102. What is the remainder when u is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewe when three letters picked without replacement from eeew.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7240803 is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*p + 5. Let u be p\/3*6\/(-16). Suppose 1\/4*f**2 + 0 - u*f = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 66, 118, 202, 318, 466, 646, 858?\n\"Answer: 16*s**2 + 4*s + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2 - 4. Is 5 a factor of ((-231)\/(-22))\/(b\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.9 + 18. Let o = s + 1. Let z(y) = -y + 3. Let m be z(-2). Which is the nearest to o? (a) m (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -71, -3\/8, -0.1, 0.1, -0.4?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 + 67. Let j be ((-20)\/(-45))\/(28\/6). Sort 5, j, i in decreasing order.\nAnswer: 5, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24168778, 24168780, 24168782, 24168784, 24168786, 24168788?\nAnswer: 24168790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x - 5. Let a be c(4). Let o = a - -40. Calculate the remainder when 44 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 532, 1231, 2252, 3619, 5356, 7487, 10036?\nAnswer: 13027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 7338 (b) -1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17284769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -442931 - -442935.79954. Let n = -4.8 + k. What is n rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51240, 102479, 153718, 204957, 256196?\nAnswer: 307435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:35 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7, 1.3, 164?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**6\/120 - q**5\/20 + 5*q**4\/24 + 5*q**3\/6 - 6*q**2. What is the tens digit of w(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**3\/17 + 118*v**2\/17 - 100*v = 0.\nAnswer: 0, 25, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35522 + 35649.728. Round y to zero dps.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 28 - 8 = i - 8 - 106, -56 = 2*m - i for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 19\/2*w**2 + 0*w + 2. Let m be d(1). Solve 4*r = -m + 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 12. Suppose 8*h = 5*h - 312. Let r = 833\/8 + h. What is the nearest to d in r, -0.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43.32 and -5.\nAnswer: -216.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/sqrt(3))\/sqrt(5) - (sqrt(88)\/sqrt(2) + sqrt(11))**2)*4.\nAnswer: -396 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 2*x - 11, -38*v + 36*v + 5*x = -83 + 100 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -225.8267385 rounded to 1 decimal place?\nAnswer: -225.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 8. Let k = -5 + 4.6. Let h = k - -5.4. Which is the closest to -1? (a) -1 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0*r**2 - 5*r**2 - 4*r + 4 + r**3 - 2*r. Let t be p(6). Suppose 7*z - t*z = 12. Calculate the highest common factor of 10 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2203356, 8813479, 19830358, 35253999, 55084408, 79321591, 107965554, 141016303?\n\"Answer: r**3 + 2203372*r**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b, -2*o - 16 = -2*b - b. Let s be 15\/4 - 2\/o. Let p(z) = z**2 - 6*z + 4. Determine p(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + 54 - -17 - 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23, -95, -209, -359, -539, -743, -965?\n\"Answer: o**3 - 27*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20211153*a**4 - 27428059*a wrt a.\nAnswer: -242533836*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -142 divided by 71\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpvvvvvzvpvvpbzpv. What is prob of sequence vzz?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 72. Let a(h) = 6*h. Let t(p) = -25*p. Let i(g) = -5*a(g) - t(g). Calculate i(y(v)).\nAnswer: 10*v - 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abca when four letters picked without replacement from {b: 6, c: 1, a: 7}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1572 * -632.79.\nAnswer: -994745.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 9. Calculate k(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1656337, 1656341, 1656347, 1656355, 1656365, 1656377, 1656391?\nAnswer: 1656407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18739.\nAnswer: 7, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 32*t + 5. Let d be k(16). Let f be (2\/4)\/(13\/(-26)). Let g be (-6)\/4*(2 + 2). Sort f, g, d in increasing order.\nAnswer: g, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 396113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 0 = 5, -5*s - 14 = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -15*b**4 - 305*b**3 - 1120*b**2 + 3020*b + 1120 = 0?\nAnswer: -14, -8, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -104\/25 and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 128? (a) 0.2 (b) 63\/404 (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -10*v. Let l be x(1). Let c = 1 - l. What is the second derivative of c*d**2 + d**3 + d - 11*d**2 wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*s + 13 = -21, -5*r + s = -26. Let y(d) = -4*d + 3*d**3 - 3 + 2*d**3 - 5*d**2 - r*d**3. Give y(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 87.232641 to 2 dps.\nAnswer: 87.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3159 * 25.\nAnswer: -78975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 29. Let c(w) = -w**3 - 7*w**2 + 42*w - 20. Let m be c(-11). Differentiate 40*q**m - 14*q**2 - 15*q**2 - l - 18*q**2 with respect to q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -3 (c) 9.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 7. Let w(i) = 4 + i + 0*i + v - 4. Let a(u) = 7 - 4 + 7*u + 3. Calculate -a(s) + 5*w(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/3)\/f*f*f**(-7))\/(f*f**0\/f)**(-19) assuming f is positive.\nAnswer: f**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 - 4*d. Let c(o) = -2*o**2 + 3*o. Let g(q) = 4*c(q) + 3*h(q). Let b(u) = 6*u. What is g(b(w))?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1460 and -3825?\nAnswer: -5584500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11293 divide 2996815930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1636892 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 311*o**2 + 23*o - 23*o + (2*o**2 - 2*o**2 + 2*o**2)*(0 + 0 + 1) + ((-5*o + o + 2*o)*(1 + 1 - 4) + o - o - 2*o)*(-o + o - o).\nAnswer: 311*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.4. Let i = -0.17 + 0.2. Let q = i - -0.27. Which is the biggest value? (a) v (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-6)\/18*36\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -20*h + 463. Let g be q(23). Let f(l) = -l**2 - 21*l + 64. Calculate f(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 8*b. Let x(j) be the second derivative of j**3\/3 - 3*j**2 - 1619*j. Give r(x(d)).\nAnswer: 4*d**2 - 8*d - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100111111010 (base 2) in base 14?\nAnswer: 3cb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j - 70 = -5*d, -j - 82 = -5*d. Suppose 3*i - 22 = -d. Is (-2)\/(i\/(-4) - 729\/(-1482)) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -583, -587, -593, -601, -611?\n\"Answer: -c**2 - c - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 11:28 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 2*u + 90. What is the remainder when m(0) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/10469382 and -36\/301.\nAnswer: 10469382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-0.519921.\nAnswer: 0.3119526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3530 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/6 - 230\/(-4). Suppose -h = 2*h - w. Suppose -4*m + h = p - 0*p, -4*p + 16 = 4*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 6*p - 16. Let j(r) = r + 1. Let y(u) = -i(u) - 4*j(u). Let x be y(9). What is the tens digit of (-2)\/(-1) - (-47 + x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j - 6. Let a be s(6). List the prime factors of -1 + 3\/a*82.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**3 + 87 - 920*c + 458*c + 461*c)*(0 - 2 + 5) to the form i*c**3 + v + q*c**2 + b*c and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v*y**3 - 26*v - 136*y**3 - 1537*y**2 + 10257*y wrt y?\nAnswer: -6*v*y - 816*y - 3074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 5*k + 16. Let w be b(4). Solve w = -g + 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2734 or 1?\nAnswer: -1\/2734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400) - -5*(sqrt(1400) - -1*sqrt(1400)))\/(sqrt(21)\/sqrt(3)*-2 - (sqrt(77)*1)\/sqrt(11)) + 5.\nAnswer: -110*sqrt(2)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3415 - 4.3415. Which is the nearest to 1? (a) h (b) 2 (c) -0.07 (d) 1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -8801*h - 3062759. Give q(-348).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**3\/2 - 9*c**2\/2 + 8*c. Let l be b(-6). Suppose -3*t + l = 0, 0 = q + 3*q - t - 1. Sort q, -3, -5 in decreasing order.\nAnswer: q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 6*z**2 - 7*z. Let s be q(7). Suppose j - 1 = l, -3*j + 2*l + 2*l = s. Find the third derivative of -145 - 2*n**2 + 145 + j*n**4 wrt n.\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 705021928 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = 3*l, 0 = -6*z + 4*z. Is 3 a factor of (-2)\/(-4) + ((-25)\/l)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59942, -59877, -59814, -59753, -59694?\nAnswer: -59637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/((-60291)\/(-6438)) - (6\/14 + 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -3. Suppose -7*h - 5*g = -2*h, 4*h = -t*g - 3. Let r = h - 2. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -292136041 <= -292136040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2342 and 38666.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-420)\/(-35))\/((704\/(-968))\/(4\/(-44)))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r + 5*f + 20, 20 = -4*r - 4*f. Let i(q) = q**2 + 3*q + 1. Let a be i(1). Let g(t) = -t**2 - 8*t + 3*t + t - a. What is g(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*r + 84. Suppose 160 = -r*y + 552. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*k - 4. Solve -k*m - 5*g - 15 = 0, 4*m - 5*g + 7 = -8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 16935*k**2 + 271563*k - 934065.\nAnswer: -3*(k - 11)*(k - 5)*(k + 5661)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 263*f**2 + 1. Let j(i) = -i**2. What is j(a(z))?\nAnswer: -69169*z**4 - 526*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*m = k + 18, 0 = k - 3*m + 13. Suppose -3*n + 120 = w + 3*w, -5*n + 60 = k*w. What is the tens digit of 2 - (-3 + w)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, g: 12}. What is prob of picking 2 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 4, 76, -38 in descending order.\nAnswer: 76, 5, 4, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - l. Let f = 33 + -34. Let d be t(f). Suppose -70 = -2*y - 5*a, d*a + 2*a = 3*y - 105. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 6*s**2 - 2*s + 3. Let d be i(-5). Let w = d - 34. Solve -4*y - 5*z = 45, w*z = -3*y - 24 - 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 6:57 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*j = -175*j - 126. Is 20 a factor of (j + 522\/9)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c**4 - 498*c**3 - 446*c**2 + 2832*c + 360 = 0. What is c?\nAnswer: -30, -3, -1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffgffffffgfgfefff. Give prob of sequence fgfg.\nAnswer: 39\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g**2*q*r + 19866*g**2*q + 4*g**2*r - g**2 + 335*g*q - 2*g*r - 2*g + q*r + 5072 wrt g?\nAnswer: 10*q*r + 39732*q + 8*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, 30, 90, 178?\n\"Answer: 14*i**2 - 10*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**3 + 2*f**3 + 3*f**3)*(-7*f + 7*f - 17*f**2) - 4 + f**5 + 4.\nAnswer: -16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 556 + -553. Suppose -1031 = -2*n - l*k, -3*k - k - 532 = -n. Does 25 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 638023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((-1*sqrt(1573)*-6)**2*6 - (4 + 6*(sqrt(1573) - (sqrt(1573) + (sqrt(1573) - (sqrt(1573)*1)**2))))) + 0).\nAnswer: 396*sqrt(13) + 1981956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**3\/3 - 2545*o**2 + 77045*o\/3 + 99905 = 0?\nAnswer: -1537, -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-32)*4\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.157, 2\/3, 12\/11.\nAnswer: 0.157, 2\/3, 12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 5 - (-48 - -24 - -25). Let b(j) = -6*j - 15. Calculate b(z).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 3:29 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21 and 1609418.\nAnswer: 1609439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9256 greater than 9256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48232, 48198, 48106, 47926, 47628, 47182, 46558?\nAnswer: 45726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9255234 divided by -29\nAnswer: 319146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t**5 + t**4 + 3*t - 3. Let l(y) = -6*y**5 + 2*y**4 + 4*y - 4. Let v be -2 + 0 - (0 - -1). Let q(u) = v*l(u) + 4*s(u). Factor q(i).\nAnswer: -2*i**4*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -45, 16, 111, 246?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 4 + 6 + 0 + 4 + 0 + (-5 + 3 + 0)*(-1 + 2 - 13))*(-2*f - 1 + 1) to m + t*f and give t.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699578*x + 3007 = 699481*x for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-16))\/(4\/(-8) + -1). Let j = -11 - -11.1. Which is the fourth biggest value? (a) j (b) m (c) 0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.4 less than 116?\nAnswer: 16.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 58*f**2 - 935*f - 132. Calculate b(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 5*y - 44. Determine w(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (1 - 2) + -3 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -160, -164, -168?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1199 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7823*g*i*j**3 + 27*g*i*j**2 + g*j**5 - 29*g*j**3 + 15*g*j**2 + 15*g*j + i*j - 7*i wrt j?\nAnswer: -46938*g*i + 60*g*j**2 - 174*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/11 equal to -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*k = 7*f, 3*f = -3*k. Suppose -4*d + 4 + 4 = f. Find the third derivative of 0*v**2 - v**2 + d*v**4 - v**4 wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 13*k - 14. Let a(s) = -s**3 - 6*s**2 + 2. Let c be a(-6). Suppose 4*f = -c*i - i + 46, 8 = 4*i. What is the units digit of q(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1442310, -2884577, -4326844?\n\"Answer: -1442267*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -2261416 and 7.\nAnswer: -2261409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*w + 109 + 515 = 0. Solve -5*a + w = 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 - -28. Let g = x - -7. Let s be (-3)\/g - 2167\/(-55). What is the highest common divisor of 16 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.88 - -1.62. Let t = m + -8.5. What is the nearest to -2\/9 in -4, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/30 + (-6)\/(-10). Factor 4\/3 + 4\/3*c + i*c**2.\nAnswer: (c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 5, -42\/85, 84, 2 in increasing order.\nAnswer: -42\/85, 0.07, 2, 5, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 154216.513?\nAnswer: -154219.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 551560681 to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*n = -18*n + 66 - 1083 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 286.78 and 5.475.\nAnswer: 292.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l + 4 = 0. Let j(z) = -10*z**3 + 0 + 2 - 3*z**2 + 12*z**3 + 0*z**2. What is the lowest common multiple of j(l) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 119*g**3*l + g**3*n + 3*g**3 - 3*g*l*n + 3*g*n + 1389*l*n - 16016 wrt l?\nAnswer: 119*g**3 - 3*g*n + 1389*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/209838 and -49\/87.\nAnswer: 6085302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + 2*p + 1. Let a(k) = -8*k**2 - 28*k - 474. Let w(g) = a(g) + 6*n(g). Solve w(d) = 0.\nAnswer: -9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701295 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39517\/4516 + -1\/2258. What is the common denominator of (-33)\/22*((-44)\/108 + -3) and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5117519 litres to millilitres.\nAnswer: 511.7519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 1 + 6)*((l + 4*l - 7*l)*(l - 3 + 3) + l + l**2 - l - 3*l**2 - 2*l**2 + 7*l**2)*(-2*l + 5*l - l).\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - (-978)\/3)\/(-1). Let w = -175 - d. Calculate the greatest common divisor of w and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 139 = -99. Suppose 3*b + c = 19, 2*i = -5*b + 149. Suppose 0 = -i*f + 68*f - 4. What is the highest common factor of f and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1457, 0, -504 in decreasing order.\nAnswer: 1457, 0, -504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 100211 (base 6) in base 14?\nAnswer: 2c11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42 and -4.7.\nAnswer: -197.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2572 + -2553 + (-2 - (1 + -6))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**2 + 138*s + 141 = 0.\nAnswer: -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128633?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*d**4 - 11*d**4 + 17*d**4 + (-2*d**2 + 25*d - 25*d)*(d**2 + 2*d**2 - d**2) + 4*d**4 - 4*d**4 - d**4.\nAnswer: -13*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (3 + -3)) + (1 - 1) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -206.95593587 to the nearest integer.\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/30 - (-2 - (-238)\/90).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5018475 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 998436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b26 + 41b6?\nAnswer: 500c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/5 - 7*g**2\/5 + 6*g\/5 + 72\/5.\nAnswer: -(g - 3)*(g + 4)*(g + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-6) + 451\/33 + 19. What is the highest common divisor of 52 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 - 2 + 11*u**4 - 8 + 102*u**2 - 7 - 2*u - 106*u**2 + 18 to the form c*u**4 + a*u + g*u**2 + f*u**3 + o and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 3680*i**2 + 14664*i + 44064.\nAnswer: 2*(i - 1836)*(i - 6)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3079, -5, 4, 1 in increasing order.\nAnswer: -5, 1, 2, 4, 3079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 3*f - 54, -3*h - 2*h + f = -58. Suppose -5*i + 5*v = v + 15, h = -4*i - 4*v. Which is smaller: -2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 - 494*z**2 + 5*z**3 + 12425562*z - 12425562*z.\nAnswer: z**3 - 494*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29137559 - 0.1.\nAnswer: -29137559.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 7:59 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*b + 70*b - 1660 = -149*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51069422 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1719, 1747, 1765, 1767, 1747, 1699, 1617?\nAnswer: 1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30196?\nAnswer: 2, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1380008 times 0.1?\nAnswer: -138000.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101001101010 (base 2) to base 4.\nAnswer: 11221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*a**2*z**3 + 11*a**2*z + 146*a**2 wrt z.\nAnswer: -21*a**2*z**2 + 11*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.541165611 to 2 decimal places.\nAnswer: -8.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.65, -0.2, 0.4, -3, -5 in increasing order.\nAnswer: -5, -3, -0.2, 0.4, 2.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1000 and 123\/1250.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 195 = 199. Is k not equal to -4\/213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 + 59*m. Let c be h(9). Let v be c\/(-86) + (12 - -1). Determine x, given that 1\/2*x**v + 0 - x**3 + 0*x + 1\/2*x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuquq. Give prob of picking 1 q and 2 u.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 4:26 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 15*i**2 + 2*i - 8. Suppose -4*u + 5*r + 0*r = 51, 0 = -u - 2*r - 16. What is the tens digit of p(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 2 + 2)*(-c + 2*c**2 + c) - 1 + 3*c**3 + 1 + c**3 + 3*c**3 - 2*c**3 + (3 - 3 + 2*c)*(0*c + 2*c**2 + 0*c).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -841 - -868. What is the greatest common divisor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 342 and 1044?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 33*g - 436. Let b be v(13). Let j(o) = o**3 + 8*o**2 + 7*o - 7. Give j(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 + 7. Let f(m) = 9*m**2 + 14*m - 7. Let z(g) = 3*g**2 + 4*g - 2. Let n(r) = -2*f(r) + 7*z(r). What is n(l(b))?\nAnswer: 12*b**4 - 84*b**2 + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16332 is divided by 121?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(204) - -1*sqrt(204)) - sqrt(204) - sqrt(204)) + sqrt(204))\/(sqrt(192) + (sqrt(192) + sqrt(192)*2 - sqrt(192))) + 4.\nAnswer: -13*sqrt(17)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327876 is divided by 1340?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -376748 and -0.2271.\nAnswer: -376748.2271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -402345.650327 - -402346. Let z = j + -0.049649. Let t = z + -0.3. What is t rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 420*s**6 - 212632*s**3 + 4282*s**2 + 63671*s?\nAnswer: 50400*s**3 - 1275792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Let l = -892 - -1316. Let i = l + -7210\/17. Is i < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 9*i**2 + 9*i + 14. Let n be h(10). Suppose g - n*g = 21. Let l = 25 - g. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 446 and 1476.\nAnswer: 329148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 55?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -2615.\nAnswer: -1\/2615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -15.02. Let t = u - -0.05. Let z be ((-48)\/(-6) + -10)*2\/(-4). Which is the third biggest value? (a) t (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/3472 and -53\/1984.\nAnswer: 13888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82 - 47. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j. Let l(v) = 10*v. Let r(b) = -14*i(b) + 4*l(b). Let t(d) = 2*d. Give r(t(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 + -2.02. Let w = -58 - -520\/9. Let c = -33 - -35. What is the third smallest value in w, b, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 5 - 92 = 12*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 525 + -5?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 16*f - 318. Give m(-28).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (12942\/117 - 112) + 1\/1\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 11:07 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 10*z**2 - 7*z - 6. Let v be o(9). Suppose 3*h + 5*a - v = 0, 1 - 7 = h + 5*a. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 24*o**2 + 2*o + 1. Let l be z(-1). Suppose 4*s - l = -11. Solve -a + 2 - s = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5985 divided by 171.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - y**2 + (3 + 1 - 6)*(5*y**2 - 2*y**2 - y**2) - y + y - y**2 + 4*y**2 - 5*y**2 - 2*y - 5 + 3*y.\nAnswer: -7*y**2 + y - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (7 - 1) + -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -38. Let x be (5 - 1) + -3 + 2. Suppose -h + x = -d. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 4 - 28*m**2 - 17.\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(3200)*-1)\/(sqrt(250)*-3*-5).\nAnswer: 8*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -10*x - 2. Let t be p(3). Let n = 50 + t. Suppose n = -4*h + 206. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q - 3 - 7*q + 3 + 1. What is p(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h = y + 3*y + 17, y + 7*h - 496 + 505 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 2*y**2 + 10*y - 19. Let i be (-9 - (-3 - 0) - -5)*-5. What is the lowest common multiple of l(i) and 10?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 7*g**2 + 2*g + 2. Let i be z(6). Let q = 0 + 4. Suppose -107 = -5*y - 4*f, -2*y - q*f = -0*y - i. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -117, -213, -333?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7753 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -57, -60, -63, -66?\n\"Answer: -3*u - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/24 + (-284)\/6. Let i = 68 + v. Solve -i = -3*r + 7*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4*(-12)\/(-27). Let v = -0.91 + -0.19. Let f = v + 1. Is h != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -608853390 to the nearest one hundred thousand.\nAnswer: -608900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttt. What is prob of sequence tt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(14)\/sqrt(2))**2 + -1 - (sqrt(448) + (sqrt(448) - ((-2*sqrt(448) - sqrt(448))*2 + sqrt(448))))**2.\nAnswer: -21942 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.3 + 30. Let g = h - 1.1. Which is the smallest value? (a) g (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 0)\/(-7 - -8). Suppose 0 = 7*q - i - 14. Let w be (1\/q)\/(2*(-5)\/(-40)). Solve 2*f - w - 2 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*i**2 + 6*i**2 + 4*i**2 + 12*i - 18 + 11*i**2.\nAnswer: -2*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*r*u*y - 5*r*w**2 - 175*u*w**2*y - u*w**2 + 21*w**2 wrt y?\nAnswer: 3*r*u - 175*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 14 = 3*d, -d - 6 = -y + 2*y. Let q = -443\/669 + -1\/223. Let z = -44\/441 + 2\/441. What is the third smallest value in z, d, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 4*a**2 - 6*a - 10. Determine j(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.147524 to three dps.\nAnswer: -0.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c**4 + 3*c**3 + 14*c**4 + 6*c**4 + 0*c**4 - 9*c - 8*c**4 - 1 - c**2 to g + t*c**4 + d*c**2 + r*c**3 + n*c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*c**3 - 49*c**3 - c**2 + c**2.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 6565795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 47 = -8*q + 18. Let s be ((-44)\/6)\/(2\/(-3)). Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 6005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f. Let l(y) be the first derivative of 23*y**3\/3 - 84. Determine l(n(v)).\nAnswer: 92*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.71 and -4.\nAnswer: -22.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 2*i**2 - 1 + 2*i**2 - 3*i + 0*i**2. Let m be t(3). Let y = m + -23\/3. What is the third biggest value in -1\/4, y, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 114 - 27?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 17*x**2 + 91*x - 88. Let u(q) be the second derivative of -7*q**4\/6 - 15*q**3 + 44*q**2 + 2*q - 81. Let c(b) = 4*i(b) + 5*u(b). Solve c(v) = 0 for v.\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/210)\/((-1350)\/(-2100))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/64 - -347\/832. Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -9*m + 30. Let f(s) = -8*s + 18. Determine 4*f(j) - 3*y(j).\nAnswer: -5*j - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 0.1 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 185 - (-345050)\/(-1854) - ((-4047)\/(-27) + 3)?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 542 - 312. Suppose 0 = -5*p - 5 + d. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3 + 3)*(5*l - 4*l - 2*l) + 2*l - 3*l + 2*l - 4*l + 2*l + l + (l + 0*l - 3*l)*(1 + 0 + 3).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -70?\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3604490*m**2 + 4432962*m?\nAnswer: -7208980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-84156582)\/(-22) - (-6)\/(-33). Let n = k + -61166545\/16. Let a = 2394 - n. What is the common denominator of a and -149\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1864 or 1837?\nAnswer: 1864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 1 + (0 - -2). Let l(i) be the first derivative of 0*i**2 - 1\/3*i**c - 1 + 0*i. Factor l(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*d + (0 + 0 - 1)*(2*d - 2*d + d) + (-3*d + 4*d - 3*d)*(-3 + 2 + 0).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (16 + -32) - (-2 + 0 + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + p**2 - p. Let o = 6 + -1. Suppose -o*z + 10 = 3*l - l, 2*l + 4 = 2*z. Give k(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + 2*h**3 - 4*h**3 + (-2*h + 0*h + h)*(-3*h**2 + 5*h**2 + 2*h**2) + (2 - 1 - 3)*(h**3 - h**3 - 2*h**3).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 152 + -1?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 10094924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 265 = -4*d + p, -5*p = d - 79. Round d to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, q: 4, l: 1, u: 1, i: 1}. What is prob of sequence quli?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(800)*1) + 3 + 5*sqrt(45))**2.\nAnswer: 453*sqrt(5)\/5 + 22981\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52523391 and 304?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1132632 and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -194) + (2053 - 2203).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 7:30 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-70)*(-5)\/45)\/(1\/(-2))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(((x**(1\/4)\/x)\/x)\/x))\/((x**(-37)*x)\/x))**44 assuming x is positive.\nAnswer: x**1793","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -247 - -251. Which is the closest to -1\/3? (a) 2\/5 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 669 divide 28053177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) + (-1331723)\/(-232722). Let d = w - 2\/12929. Calculate the common denominator of d and -89\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 33433028?\nAnswer: 33433028.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-75) - 8\/(-15) - 0. Which is the nearest to -0.1? (a) s (b) 1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -20*w**5 - 220*w**4 - 648*w**3 - 740*w**2 - 364*w - 56. Let x(a) = 2*a**5 - a**2 - 1. Let q(u) = -c(u) - 4*x(u). Suppose q(n) = 0. What is n?\nAnswer: -15, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3424.9996842 - -3425. Round j to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 369*x**2. Let w(j) = 5*j. Determine w(p(i)).\nAnswer: 1845*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151 - m**2 - 4*m - 151)*(2*m - 4*m + 5*m)*(3 + 2 - 4).\nAnswer: -3*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23837638 by -22.\nAnswer: -1083529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*h = 0, 4*v - 2*h = -v - 46. Suppose -4*b = -2*z - 16, -z - 4*b - 9 = 5. What is the units digit of (24\/z)\/(3\/v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39932195*0.2\nAnswer: -7986439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i = 18*i - 5*v, 3*i - 76*v = -80*v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 16. Let c(m) = -k*m**3 + 12*m + m**2 - 13*m - 6 + 6*m**3. Let d be (-2)\/(-7) + 2\/(-7). What is c(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1348*b - 1215*b + 2984*b.\nAnswer: 3117*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*j**3 - 188 + 380 - 191 + 2*j**2 + (j + 3*j - 3*j)*(7*j**2 - j**2 + 4*j**2) to c*j**2 + s*j + l + q*j**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by 16853762.\nAnswer: 26\/8426881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 265290 and 98420.\nAnswer: 70567140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 3*l - 11, -57*n + 106*n - 51*n - 2*l = 30 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3)**12 assuming l is positive.\nAnswer: l**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = 8*c + 126. Let v be ((-6)\/(-4))\/((c\/(-2))\/(-7)). Let o(d) = -2*d + 1. Determine o(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 162, -37, -226, -399, -550, -673, -762?\n\"Answer: i**3 - i**2 - 203*i + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 15*z**2 + 182*z + 22. Let l be u(-12). Let a(h) = h**2 - h - 16. Let d be a(5). Put 51, l, -3, d in decreasing order.\nAnswer: 51, d, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25087264 a multiple of 1130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x. Let j(b) = b**3 - 2 - 4*b**3 - 7. Let f(v) = v**3 + 4. Let c(t) = 5*f(t) + 2*j(t). Determine c(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19, -1.\nAnswer: -19, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 49, -560, 0 in decreasing order.\nAnswer: 49, 0, -2\/7, -560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4*k**4)*(2*k - 3*k + 2*k) + (4 + 3 - 5)*(-2*k**5 - k**5 + 4*k**5) + k**5 + 2*k**3 - 2*k**3.\nAnswer: 7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 210\/11 - 851\/44. What is the nearest to -1 in n, 4, 0.1, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6817.63 decades to months.\nAnswer: 818115.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1284\/7 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llaaaaaa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9021, 29915, 64745, 113511, 176213?\nAnswer: 252851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(171) - sqrt(171)*2 - sqrt(171))*-5*-1)**2 + 5.\nAnswer: 51305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12, -13, -38, -63?\n\"Answer: -25*s + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.88.\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2) - (-3 - -3). Suppose 0 - y = -2*s. Let l = 84\/5 + -17. Sort l, -5, s in ascending order.\nAnswer: -5, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58182432*r**2 + 662678825*r wrt r?\nAnswer: -116364864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -66 + 3*r**3 - 6*r + 66 + (8 - 8 + r**3)*((-2 - 2 + 3)*(-5 + 0 + 3) - 2 + 10 + 10) in the form f*r + i + k*r**3 + s*r**2 and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*v**3 - 65474*v**2 + 3573648 with respect to v.\nAnswer: 12*v**2 - 130948*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331 + 339 + 332 - 3*x**2 - 1002.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1382 and -0.07.\nAnswer: -0.009674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**4 - 82210*h**3 - 988095*h**2 + 14070060*h - 31098060 = 0. Calculate h.\nAnswer: -21, 3, 6, 16454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - (104\/16 + -7)*0. Which is the second biggest value? (a) z (b) 1 (c) 4 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80\/9*z**2 - 340\/9 + 418\/9*z + 2\/9*z**3.\nAnswer: 2*(z - 34)*(z - 5)*(z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6*t + 3*n + 325, -2*t = n + 165. Let x = -80 - t. Solve 7 + 8 = x*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7955248?\nAnswer: 2, 7, 73, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 885 + -884. Let w = -4 - -7. Sort w, t, 7 in decreasing order.\nAnswer: 7, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.318 * -34\nAnswer: -10.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 3480*u**2 + 27600*u - 55040.\nAnswer: 5*(u - 688)*(u - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 divided by -79?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 369*r**2 - 8583*r - 1331*r**2 + 260*r**2 wrt r?\nAnswer: -1404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 - 92*c + 491. Suppose -3*v + 60 + 102 = 0. What is the remainder when w(-33) is divided by v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326.09 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285 (base 15) to base 8.\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2637165 (base 8) in base 10?\nAnswer: 736885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-226)\/(-21) - (-2)\/3) + (-20 + 13 - 4)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x + 15, -2*z - x = 431. Let y = -130 - z. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25143266 + -352?\nAnswer: 25142614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -9.12. Let d = -0.1413487 + 0.26134954. Let t = j - d. What is t rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8768 divided by -4?\nAnswer: -2192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -17*p - 2137. Let x be d(-126). Put -77, -5, x, -4 in increasing order.\nAnswer: -77, -5, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 184 = -28*j. Factor 56 - j*t + 3*t**3 - 54 - 4*t**3 + 4*t**2 + 3*t.\nAnswer: -(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -47, -54, -61?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -10\/3*p**3 + p**5 + 8 + 0*p**2 + 0*p - 5\/4*p**4. Factor b(x).\nAnswer: 5*x**2*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 9:15 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2*m + 2 = 2*x, -4 = -2*x + 2*m. Let w be 24\/84*x\/(-4). Let o = 0.9 + -1. Which is the nearest to 0.1? (a) w (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.22 and -0.0726.\nAnswer: -0.015972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 49 = 2*a. What is the second derivative of -p**3 + 111*p - 3 - 106*p - 8*p**2 + a*p**2 wrt p?\nAnswer: -6*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + w - 10. Let i be (-1 - -4)\/(-13 - -14). Let k be m(i). Suppose 2*u + 5 = 5*j - 4*j, 5*u = j - 11. Solve -k*f + f + j = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3712009008?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/7 - 45086*m**4\/7 + 38*m**3\/7 + 856622*m**2\/7 - 270660*m\/7 - 3246192\/7 = 0. Calculate m.\nAnswer: -22543, -4, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 104978999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deeeedbeedbe. Give prob of picking 2 b.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*c - 30. Suppose -239 - 6 = -5*x. Let v = -35 + x. Calculate the remainder when v is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(3\/4))\/(t\/t**(-4\/5))*(t**(2\/7)*t)**(-48))\/((t\/t**0*t**(3\/7)\/t)\/(t**2)**44) assuming t is positive.\nAnswer: t**(3613\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*y = 5*c - 8, c = 4*y + 2. Let f = 108 + -58. Suppose c*k + 8*k = f. What is the remainder when 42 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*x - 537901 = -3*o, o + 5*x = 107576. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 5)*(-131*l + 58*l + 14*l) + (4 - 1 - 4)*(0*l + 3*l - 5*l).\nAnswer: 297*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-92)\/44 - 38\/(-55).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9866*r = -9865*r - 2*p + 7, -5*p = 3*r + 43 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -245.1 + 36.1. Let r = t - -100. Let q = 108.9 + r. Which is smaller: q or 25\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4 + 6*d**3 + 9*d**2 + 4*d = 0. What is d?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*q**3 + q**3 - 1131*q - q**2 + 59*q**3 in the form t*q**2 + j + r*q**3 + z*q and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1995, 1819, 1629, 1419, 1183, 915, 609, 259?\n\"Answer: -x**3 - x**2 - 166*x + 2163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7146*u = 7204*u - 1099622. List the prime factors of u.\nAnswer: 18959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**4\/7 + 8*m**3\/7 - 2*m**2\/7 - 12*m\/7 = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2758*g**3 + 2044*g**2 + 13. Let i(m) = -m**3 - 13. Let t(p) = -3*i(p) - 3*u(p). What is the third derivative of t(l) wrt l?\nAnswer: -49626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101011111 (base 2) in base 6?\nAnswer: -10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851962.\nAnswer: 2, 29, 37, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30 (b) -136 (c) 2\/3 (d) -0.06 (e) 4 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3049740 and 3420?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 4:44 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1096 or -673814\/615?\nAnswer: -1096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acpa when four letters picked without replacement from oooapaoeaaoc.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -26, -5, 0.\nAnswer: -26, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3 - 178\/(-6). Is (-4)\/z - (-149591)\/195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*k**3*q**2 - 6*k**3 + 2*k**2 + k*q - 730*k - 8629*q**2 + 98 wrt q.\nAnswer: 46*k**3*q + k - 17258*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/7)\/(p*p**(1\/4)*p)*((p*p**(2\/7)\/p)\/p)**(-34\/7) assuming p is positive.\nAnswer: p**(267\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-250)\/(-5))\/((-8)\/(-4)). What is the greatest common factor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 5*p**2 - p - 3. Let u be a(-5). Let z be (-30)\/(-8) - (1 - 10\/8). Find the third derivative of -10*x**u + z*x**2 + 0*x**6 - 4*x**6 wrt x.\nAnswer: -480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2980.33 = 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.3 and 10881.9325.\nAnswer: 10883.2325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z - 17 = 527*v - 529*v, -z + 4*v = 2*v + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235053183.\nAnswer: 3, 89, 880349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 9*d**2 - 3*d + 27. Let t be f(12). What is the greatest common factor of t and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3519*d = 3538*d - 152 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p. Let i(g) = -58*g**2 + 50*g**2 + 39*g**2. What is i(h(a))?\nAnswer: 775*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*a = -2*a + 14, -4*w + 3*a + 23 = 0. Solve -1 = 3*p + 14, w*p + 10 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqqq when four letters picked without replacement from hqtuqhuqkh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 582 and 43.\nAnswer: 25026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w - 3*w)*(-w - w - 5*w**2 + 3*w**2)*(0 - 3 - 2) + (w + w**3 - w)*(10 - 6 + 6) - 3*w**3 + 9*w**3 - w**3.\nAnswer: 5*w**3 - 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -2. What is the remainder when 30 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {v: 1, p: 3, b: 1, c: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 65*(2 + -3). Let q = n - -239. What is the remainder when q is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11592)\/(-2208))\/(14\/24)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(6\/5))\/j**22*j**(-34\/5)*j*j*j*j*j**24 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3.1. Let n = 72 - 69. What is the second biggest value in c, n, -2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (14\/(-28) + (-10 - -3))*-202?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 7*p**2 + 7*p + 7. Let t be m(-7). Let r be (3\/7)\/((-12)\/t). What is the third smallest value in r, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/3 (b) -10.3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzawj. Give prob of picking 1 j and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 25396.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2199820408 + -28483.\nAnswer: -28483.2199820408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 + 5*n + 3. Let f(q) be the second derivative of -5*q**4\/12 + 4*q**3\/3 + 5*q**2\/2 + q. Let u(y) = -5*f(y) + 8*l(y). Factor u(k).\nAnswer: (k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/315*1*(-2)\/(-6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**6\/120 - q**5\/15 - 7*q**4\/24 + 3*q**3\/2 - 3*q**2 + 53*q. What is n(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2312 divided by -289?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -479*n**2 + 5 + 485*n**2 + 6*n + n**4 - 7*n to v*n**2 + p*n + k*n**3 + x*n**4 + t and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 4:17 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*s = -442, 2*u - u = 5*s + 93. Let d = -32 - -91. Let c = u - d. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 2*x - 13. Let v be f(5). Solve -v*u + 7 = 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.21 - -1.99. Let d = -1.8 - m. Let y = 5 + -5.3. Which is the second smallest value? (a) d (b) y (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 196 - 214 + 4*l)*(-3 + 1 + 1) + (0 + 0 - 2*l)*(-5 + 5 + 2).\nAnswer: -11*l + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-11\/2)\/(i**(-15)\/i) assuming i is positive.\nAnswer: i**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i. Let q(c) = c**3 - 4*c**2 + 3*c + 1. Let j be (12\/9 - 1)*3. Let v be q(j). Give u(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 184443578, 368887162, 553330744, 737774324, 922217902?\n\"Answer: -d**2 + 184443587*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 24673509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = l. Let m be (-20)\/(-8)*(-4)\/l. Let p be -5 + 3 + m*1. Solve 0 = -4*c + g + 21 - p, 2*g = 4*c - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1118.629 to the nearest ten.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = 4*g. Let z(t) = -t**3 + 3*t**2 + 3*t + 7. Let w(p) = p**2 + p - 1. Let c(l) = 3*w(l) - z(l). Calculate c(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 + 0.86607831526\nAnswer: 2.26607831526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 342*n*u**3 + 43754*n*u + 62554985*u**3 wrt n.\nAnswer: 342*u**3 + 43754*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufbw when four letters picked without replacement from {w: 3, m: 11, b: 1, u: 2, f: 1}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-60))\/(6\/(-120))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 9\/((-6)\/(-2)). Suppose -3*b = -w*b - 1. What is the derivative of y**2 - b + 5*y**2 - 2*y**2 wrt y?\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 divided by 175?\nAnswer: 74\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*g - 2721 = 0, -5*g = -275*a + 277*a - 1799. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 11:10 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -725 plus 95254.6?\nAnswer: 94529.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.37 + -12. Let n = v + -4.37. Which is smaller: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*d + 4 = 0, -a - 4*d = -8 - 2. Let b = -6 - -12. Calculate the least common multiple of a\/((-13)\/3 + 4) and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 315, 638, 967, 1302, 1643?\nAnswer: 1990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 340*f + 3361 - 9821 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 191243?\nAnswer: 57372.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 28764*c**2 + 143976*c + 402976.\nAnswer: -4*(c - 7)*(c + 2)*(c + 7196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -923 - -922. What is the third smallest value in 10, l, -0.1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/5)\/d)\/d*d**(-2\/23)*(d*d*d\/(d*d**(2\/15)*d))\/((d**(-3\/2)\/d)\/d))\/((d**0)**(-5\/12)\/(d*d**(-1)*d**(4\/7))) assuming d is positive.\nAnswer: d**(2561\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4385187*p**3 - 8*p - 4385188*p**3 + 8*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = -9*p + 58*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t + 0*t**2 - t**3 - 10 - t**2 + 5 - 4*t**2. Suppose -5*d = 17 - 2. Let c be -3 + 2 + d\/1. Calculate a(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 3:07 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7.93269*-2.5\nAnswer: 19.831725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.3189.\nAnswer: -1.5945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + a**2 + 4*a + 1. What is r(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11617 (base 11) to base 2.\nAnswer: -100000101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2633?\nAnswer: 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7996 + 87958\/11. Sort q, -3, 1, 4, 0.12.\nAnswer: -3, 0.12, q, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from zqzzofzqzlfozlz?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(126) - sqrt(126) - sqrt(126))*5)\/(sqrt(12)\/(1*sqrt(6)*-1))*-5.\nAnswer: -300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*f, -3*f = j - 0*f - 93. Let h be (-10)\/(-8)*14\/j. Let y(u) = u**2. Let g be y(2). Which is the third smallest value? (a) g (b) 0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 61*m + 775. Let l be k(18). Let p(i) = -2 + 3*i**2 - 7*i + 2*i**2 + 0*i**2. Let g(s) = -s**2 + s + 1. Determine l*p(r) + 4*g(r).\nAnswer: r**2 - 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 10 (b) 3 (c) -4\/9 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 27608?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**4\/2 - 14*p**3\/3 + 9*p**2\/2 + 7*p - 924. What is u(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 1. Let i(m) = 12*m**2 + 2*m + 724. Calculate i(n) + 11*o(n).\nAnswer: n**2 + 2*n + 713","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.0564 to zero decimal places.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 10*w = 7*w + 2 + 1, 18*w = -3*m + 54 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 28 - 12*s**2 + 2*s**2.\nAnswer: -10*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + l - 9. Let t be x(-4). Let h(b) = 4*b - 2 + 0*b - t*b. Calculate h(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*r + 47*r + 33*r + 2*r**3.\nAnswer: 2*r**3 + 121*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*u + 508 = 0, -33*g - 2*u + 125 = -32*g. Calculate the remainder when 2027 is divided by g.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**3 + 3*g**2 - 2*g - 3. Let v be z(-1). Let r = 10 + -4. Suppose 6*b - v*b + r = 0. Is b greater than 16\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25015165 to the power of 1\/2, to the nearest integer?\nAnswer: 5002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -42*n - 86. Let c be t(-2). List the prime factors of 163860\/150 - (-3)\/(-10)*c.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25519\/3 + 8375. Let b(s) = s**3 - 125*s**2 + 213*s - 11168. Let i be b(124). Which is greater: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*i)*(-4*i + 0*i + 0*i) + 4*i**2 - 30 + 30.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - -203?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + 2*q**2 + 0*q**2 - 2 + 2 - 2*q**4 + 2 to k*q**4 + r*q**2 + a*q**3 + h*q + i and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6*-4000*(-699)\/2. What is g rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -330199, -660397, -990595, -1320793, -1650991?\nAnswer: -1981189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-2)\/2*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -20. Suppose -3*z + 2*l + 3*l = -37, 2*l - t = -5*z. Let u(m) = m**2 + 6*m + 7. What is the remainder when u(-6) is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 307668348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h - 529 + 6709 = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/9, 44, 225, -0.1, -2\/7, -9, -2\/9?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19717837 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/15 + (-16)\/(-15). Let z = -133 + 135.95. Let g = z - -0.05. What is the third smallest value in g, d, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/9 and -1\/30717?\nAnswer: 30717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(4*k**3 - 6*k**3 + k**3) + 0*k**3 + 3*k**3 + 6*k**3 - 3*k - 2*k**3 + 3*k.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-347)\/(903588\/10540) + 4\/(-14).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + z + 2. Let y(r) be the second derivative of 1\/12*r**4 + r**2 + 0 + 1\/6*r**3 + 3*r. Determine -5*l(m) + 6*y(m).\nAnswer: m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72215?\nAnswer: 5, 11, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z + 339 = -93 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 0)\/((-2)\/(-16)). Suppose -x + c = -9. Calculate the greatest common divisor of x and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -11*j + 11. Let w be c(-15). Suppose -x = -3*x + w. What is the highest common divisor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, r: 1, z: 1, x: 2, h: 2, b: 1}. Give prob of picking 2 h and 1 r.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19739123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4330914 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -12*i - 4 - 34 + 117*i. Is r(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than 532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -2*w**3\/3 + 58*w**2 + 307*w + 8. Determine p(24).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 4 + (-161)\/28. Sort -0.017, 5, n.\nAnswer: -0.017, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 77 - 148 = 0. Let q = -43 - x. Let o(k) = -6*k + 2. Determine o(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 115427.\nAnswer: -115427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 24*d - 1. Let q(o) = -47*o + 217. Determine 6*b(h) + 3*q(h).\nAnswer: 3*h + 645","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-636)\/53 + 220\/18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 7:07 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6961309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348190599?\nAnswer: 3, 19, 6108607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 0 + sqrt(1331))*4)**2 - (-2*sqrt(1100) + sqrt(1100))\/(-1*sqrt(4)*3).\nAnswer: 3163*sqrt(11)\/3 + 21440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 62*a + 7. Let y(o) = -38 + 35 + 2*o - 15*o - 18*o. Let q(n) = -3*j(n) - 7*y(n). Let b(x) = -5*x. Calculate q(b(f)).\nAnswer: -155*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2112 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*x - 233752, 0 = 6*x - 5*x. Let m = -57496 + p. Round m to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 248137578 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 19400 - 19400 + 854*t**2 in the form z + r*t + o*t**2 and give o.\nAnswer: 854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2093*b**4 + 127164?\nAnswer: -8372*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -42825.7811 from 13.\nAnswer: 42838.7811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**11*l*l**(4\/11)\/l*(l\/(l\/((l*l**(1\/7))\/l))*l)\/((l\/(l*(l**(-2\/31)\/l)\/l*l))\/l))**(-2\/13) assuming l is positive.\nAnswer: l**(-59398\/31031)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 134 = f, -5*k - 3*f = 2*f - 110. What is the greatest common divisor of 65 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/11))**(5\/17))**(-15) assuming c is positive.\nAnswer: c**(-150\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 = -3*d - 0. Let z = d + -47. What is the remainder when 91 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a + 22. Let n be l(0). Suppose 5*d - 2*r - 35 = -7*r, 4*r = -d + n. Suppose 0*v + d*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: Collect the terms in 11*d**3 + 20*d**2 - 7*d**3 - 20*d**2.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -20. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2016924883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -17*m**4\/3 + 9*m. Let l(j) = j**2. What is r(l(q))?\nAnswer: -68*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8958761 divided by 12\nAnswer: -8958761\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**6\/360 + 3*h**5\/40 - 5*h**4\/24 - 56*h**3\/3 - 94. Let v(a) be the third derivative of g(a). What is v(-8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8281 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -0.1, 29, 56?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 8.01. Put 0, i, 1 in descending order.\nAnswer: 1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(76)*1 - ((sqrt(76) - -1*sqrt(76)) + sqrt(76))*-5)\/(sqrt(36)\/((sqrt(9)*-1 - sqrt(9))*-3)))**2.\nAnswer: 134064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 22200212220?\nAnswer: 22200212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 4*v + 1. Let j(d) = -110*d**3 + 8*d**2 - 32*d + 6. Determine 8*a(h) - j(h).\nAnswer: 110*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68? (a) 0.024 (b) -2\/3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15490352026205 + -1.1.\nAnswer: -15490352026206.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 22*d + 5*d**2 - 4*d**2 - 34*d + 6. Let q(z) = z - 1. Determine -6*q(k) - u(k).\nAnswer: -k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q + q)*(2*q**4 - 4*q**2 + 3*q**2 - 4*q**4) - 877*q - 5496*q**5 + 877*q.\nAnswer: -5492*q**5 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -600*r + 1441889 - 1389689 for r.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - (sqrt(19) + 5*sqrt(19)*-1) - (-4*sqrt(171) - sqrt(19) - sqrt(19)).\nAnswer: 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/7, 59, 7, -1, -2.\nAnswer: -2, -1, -1\/7, 0, 7, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 129 - 89. Suppose -16 = -7*v - 107. Let r(t) = -t**3 - 12*t**2 + 13*t + 10. Let d be r(v). What is the highest common factor of m and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/4*6\/(-12). Suppose 4*v + 127 = -3*p + 29, v = -3*p - 110. Let y be p\/36 + 3\/6. Are u and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 1795330 = 5*t - 6732150, 0 = 5*y + 4*t + 4936874. Round y to the nearest ten thousand.\nAnswer: -990000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Suppose 0 = -b*g + 7*g - 44. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -333100\/21 + 15865. Find the common denominator of 58\/21 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 46 + 7*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -393, 0, 321.\nAnswer: -393, 0, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 243, -5, 0, -38 in descending order.\nAnswer: 243, 0, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1006514759 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5623?\nAnswer: 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**5 - 11*r**4 - 514*r**2 + 3*r + 260.\nAnswer: 40*r**3 - 132*r**2 - 1028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 7 + -7 + 4 + 19 + -50.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m - 2. Let y = 11 - 17. Let z(i) = -4*i - 3. Let h(w) = y*j(w) + 4*z(w). Let a(k) = 0 + k + 0 + 0. Give h(a(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r - 14. Let l be 4\/(-20) - (-21)\/5. Let d(q) = 2*q + 8 - 4 + 3 - l. Let f(c) = -2*c + 10. Let z be f(19). What is z*d(a) - 6*i(a)?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 137?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u + 65*u + 244 = -196 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5046*k - 9091*k + 0 - 4774*k + 0 + 1442*k)*(2*k + 2*k**2 - 2*k) to a*k + y*k**2 + z*k**3 + b and give z.\nAnswer: -34938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3184945.6 to the nearest 100000.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 22*u**2. Let z(s) = 60*s - 60*s - 3*s**2 + 5*s**2. Calculate z(c(v)).\nAnswer: 968*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -12\/11 (b) -4 (c) 5 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 3:10 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2211 by -737.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a millennium in months?\nAnswer: 46000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47.2 - 75. Let k = a + 28. Sort -2, 5, k.\nAnswer: -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from {y: 2, s: 1, z: 2, p: 6, o: 1, c: 7}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) 4 (c) -12 (d) 1.7 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 52.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 7811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 150 = 0, -9*c + 6*a - 2*a = -2*a - 112 - 113 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71.168684276 - 0.021033224. Let l = 0.8103 - u. Let r = l + -72. What is r rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 196 - 172. Let t = x + -13. Which is the nearest to 10? (a) t (b) 2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 1410.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1975 or -1977?\nAnswer: -1977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 301007537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-18*(-14)\/231840) is divided by 58.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2741*y + 128. Let r be u(5). Calculate the common denominator of -127\/12 and r\/(-2120)*10\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1691*l - 1097*l + 4394*l)*(-6 + 6 + l).\nAnswer: 4988*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 849 - 853.73. Let v = t + 5.646. Let y = v - -0.074. What is y rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 0 - (-22)\/2. Suppose -49 = -w - r. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92\/736 + (-158)\/112)*210\/(-18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 48*l**2 + 17*l + 104. Let c be s(-5). Solve 50 = -1209*f + c*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1060*s = 19*s + 65583 for s.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = c - 3*c, 3*v - c = -226. Let d = v + 75. What is the remainder when 3 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**4 + 18*k**3 + 13*k**2 - 72*k - 68 = 0.\nAnswer: -17, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -226*t. Let w(v) = 99*v**2. Determine p(w(i)).\nAnswer: -22374*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2001 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 1\/75*o**5 + 0*o + 1\/15*o**4 - 5*o**2 - 2\/5*o**3 + 0. Suppose v(c) = 0. Calculate c.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 99 in -23.6, 8, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19489*a*n**5 - a*n**4 - 42*a*n - 3*n**2 + 101 wrt n?\nAnswer: 1169340*a*n**2 - 24*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*p - 2622 = 633 + 165 for p.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2018.9 + -2027.8. Which is the second smallest value? (a) -1\/5 (b) -0.29 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 232*l - 472.\nAnswer: 2*(l - 2)*(l + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + g - 15, -g = -3*w + 2*g. Suppose -w*a + 0*a - 40 = 0. What is the units digit of 1 + (0 - 1) - a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 8:57 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b (base 16) to base 12.\nAnswer: -10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1026 + 1024. Sort -1, -23, r in descending order.\nAnswer: -1, r, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = -4*r, -5*n = -4*r + 2*r + 26. Let c = 82 + -43. Suppose 0*k - c = -r*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -35, -137, -333, -653, -1127?\nAnswer: -1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036551457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -26100 - 3*n + 26095 - 2*n + 0*n + n. Let o(q) = q**2. What is j(o(f))?\nAnswer: -4*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 79 = -5*x, -3*x + a = -4*x + 15. Suppose 29*f - 28*f - x = 0. Calculate the smallest common multiple of f and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203333031232 (base 4) in base 2?\nAnswer: -100011111111001101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, w: 2, e: 2, z: 3}. Give prob of sequence ze.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 9 + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/(-21) + (-26)\/(-2106)*27. Let q = 0.34 - 0.3. Which is the closest to -2\/5? (a) q (b) 0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4565 - 2741?\nAnswer: -7306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*(sqrt(9)\/sqrt(3) - sqrt(3))**2 + (1*sqrt(36))\/sqrt(12).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5382.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*c + 417, 2*c = -c + 5*g + 267. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1582219.\nAnswer: 653, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.23705.\nAnswer: -0.71115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -37992, -48266, -58540, -68814, -79088?\n\"Answer: -10274*b - 27718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*n - 36 = -56*n, a - 5*n = 88 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.3, 8.6, -1 in increasing order.\nAnswer: -1.3, -1, 8.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 14 = -5*y, -5*y + 2*k - 10 = -36. Suppose 4*i - 10 = 3*v, 3*i - 5*i + y = -2*v. Solve 7*g + 25 = v*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/20 and 59\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 3220*g**2 - 499328*g - 21807248.\nAnswer: -4*(g + 94)**2*(g + 617)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -74577155 equal to -74577153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 148*i + 936. Let d be r(0). Calculate the greatest common factor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*v + 22*v - 21*v + 25*v to n + m*v and give m.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**3 + 72231*k**2 - 430373529*k - 53138045763 = 0?\nAnswer: -121, 12099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10551)\/(-10551))\/(34\/30).\nAnswer: 15\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = w - 4*s, -90 = -5*w + 6*s - 44 - 68 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23, 61, 123, 209, 319, 453?\n\"Answer: 12*h**2 + 2*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18328470 is divided by 7656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -985 + 1015. Solve -4*m + f = -10*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 6*c**2 - 9*c + 1. Determine b(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -79, -664, -2257, -5362, -10483, -18124?\n\"Answer: -84*p**3 + 3*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8cbea - -4e9?\nAnswer: -8c701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 34985 = 6*q - 2*q, 2*q + 17494 = -2*v. Round q to the nearest 100.\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 5*u + 35. Let i = u + -5. Suppose z = i + 2. Solve z - 3 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*((-5)\/1 + 2). Let i be 8\/12 + 46\/(-6). Let o = i + 5. Which is greater: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6146443298.\nAnswer: 2, 223, 13781263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 4. Let s be f(0). Suppose 2 = -s*d - 2. Does 6 divide (d\/2)\/((-1)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83966489*j**5*x**2 - 48*j**2*x**2 - 278381*j**2*x wrt j.\nAnswer: -5037989340*j**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 18. Let l be g(0). Let d be ((-5)\/15)\/(1\/(-9)). Let k = l - d. What is the highest common factor of 60 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(3\/4)*j**(-3\/8)\/j)\/(j**(-1)\/(j\/(j*((j**(-1)*j)\/j*j)\/j)))*(j*j*((j*j**(-2\/7)*j)\/j)\/j*j**(-5))\/(j**(-2\/5))**(-2\/3) assuming j is positive.\nAnswer: j**(-989\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**8\/840 + 4*i**7\/525 - i**6\/150 - 2*i**5\/25 + 3*i**4\/20 - 419*i**2. Factor x(w).\nAnswer: 2*w*(w - 1)**2*(w + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 3*q + 0*q - q)*(-6*q + 2*q + 2*q).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + q. Let b(c) = c**2 - 44*c + 201. Let h be b(39). Let r(z) = -18*z**2 + 17*z. Determine h*r(g) - 102*t(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/(-14) + (-2)\/(-4). Let t = -56 + 126. Let j be (-2)\/t - (-6)\/14. Which is the nearest to m? (a) 1 (b) j (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1012 and 47\/230.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6428 = 5*f + 9*w - 8*w, f = -5*w - 1276. Let o = f + 1815. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 41*r**3\/3 - 1. Let m(t) = 15*t - 30*t + 13*t + 0*t. Give k(m(g)).\nAnswer: 164*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8813.2 rounded to the nearest 10?\nAnswer: -8810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1130*((-10)\/4 - -1). Let f = -11831\/7 - v. What is the common denominator of f and -21\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 - 3*d. Let j(x) = -x**2 - 6*x - 5. Let c be j(-4). Let g(k) be the third derivative of -k**5\/15 - k**4\/4 - 8*k**2. Determine c*g(b) - 5*y(b).\nAnswer: -2*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/9)*r*r)\/(r\/((r\/(r*r\/(r**(-14)*r)))\/r)))**33)**(-5\/6) assuming r is positive.\nAnswer: r**(3520\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*c**5 - c**3*m - 75*c**2*m**3 + 2*c*m**3 + 26*c*m + m**3 - 159*m**2 - 18*m wrt c.\nAnswer: 540*c**3 - 6*c*m - 150*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2434 divided by 6970?\nAnswer: -1217\/3485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(19) + -3*(sqrt(76) - sqrt(19)))**2.\nAnswer: 16*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454.694 weeks to nanoseconds.\nAnswer: 274998931200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21990841649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 86377 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014835127?\nAnswer: 31, 173, 189229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3318 and 4.\nAnswer: 6636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3\/7 - 40*w**2\/7 - 92*w\/7 - 8.\nAnswer: -4*(w + 1)*(w + 2)*(w + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h - h + 4*h)*((1 + 0 - 2)*(-3 + 5 - 4) + 3 - 2 - 2 - 4 - 2 + 2) to t + l*h and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 - 28*i**2 - 28*i - 10. Let u be l(-13). What is the greatest common factor of u and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211 - 18*v - 23*v + 72*v + 207.\nAnswer: 31*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138 and 210289?\nAnswer: 1261734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 30.78136mg?\nAnswer: 30781360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*a**3 + 97*a**3 - 205*a**3 + 51*a**3.\nAnswer: 322*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 168 and -0.5.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 53*t**2 - 684*t - 919. What is y(-18)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077494785 a multiple of 4339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 250 + -8. Suppose 0 = -3*s - 6, 3*y + y = 3*s + j. Suppose -4*p + 20 = 0, 2*u = p + 2*p + y. What are the prime factors of u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h - 20. List the prime factors of v(11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 3*d - d**3 + 42.\nAnswer: -d**3 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 + 6*b**2 - 40*b - 394. Is 101 a factor of j(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23876676?\nAnswer: 2, 3, 663241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.14 (c) -28 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of (-2)\/(5 - 1955\/390)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*3.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 24*y + 266. What is the smallest common multiple of 10 and f(-24)?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -1\/6, 2\/13, 5, 0.6, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8604 and 2151.\nAnswer: 8604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 + 10 - 20) + 3 - -57?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*1\/(-6)*3)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 4*l + 4. Let y be b(-2). Let t(c) be the first derivative of 0*c**2 + y*c**3 + 1\/4*c**4 - 1 + c. Differentiate t(p) wrt p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1, -5\/8, 5, 43, -10?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Let t(n) = 0*n**2 + 1 + 2*n**2 - s*n - n + 5*n. Let k be t(-2). Solve -y - 2*l = 7, k*y + 2*l + 2*l + 23 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*n**2 + 209*n**2 - 798*n**2 + 220*n**2 + 200*n**2.\nAnswer: 37*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*m**3 + 28*m**3 + 28*m**3)*(-2*m + 2*m - 2*m).\nAnswer: 26*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, j: 4, r: 1, t: 1, u: 5}. Give prob of sequence tjuj.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 + 20. Let v = n - -30.26. Let w = 0.06 - v. Which is the second smallest value? (a) -3 (b) 1\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606248 = 3*b + 606344 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45297187 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1400 and 980.\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6218 (base 11) to base 7\nAnswer: -33021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 - -1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 1683 = -3*c. Let g = 884 - c. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39124124 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6cc818 (base 15) to base 11\nAnswer: 2a36444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/2*-7 + (-5)\/2. Solve -11*g + 8*g - u = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -451 + -23354?\nAnswer: -24245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(1 - 29575\/(-44385) - (-135)\/(-81)). Calculate the greatest common divisor of 22 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1752 and 384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(21 - 21 - 5*r)*(0*r - 3*r + r) in the form w*r + v*r**2 + o and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 = -2*p + 2*m, -p = 3*m - 13. What is the highest common factor of p and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 8*a**3 - 2*a**3)*(-1 + 3 + 0)*(12*a - 6*a - 26*a).\nAnswer: 400*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16349 is divided by 16267.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/3 - 1052*b**4\/3 + 7298*b**3\/3 - 5544*b**2 + 4152*b = 0. Calculate b.\nAnswer: 0, 2, 3, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjnvzjzn. Give prob of sequence vzj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8658018 and 6?\nAnswer: 8658018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.94 - -0.36. Let y = -3 + 5. Let i = h - y. Which is the smallest value? (a) i (b) -3\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(-2*q - 2 + 2) + (-6 + 2 + 2)*(-3 + 3 + q) + 3 - 2*q - 3.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 6) in base 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-four fifths of a micrometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-4)*(-16)\/(-28). Suppose 0 = -k*p + 4*g + 911 - 285, 0 = 4*p + g - 1207. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 + 36*k**2 - 5*k - 48. Calculate v(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*a + 49*a - 64 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c + 2*c)*(0*c + 9*c - 4*c)*(26 - 37 - 23).\nAnswer: -170*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 737103038 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-8)*f)\/f**(3\/2)*(((f*f\/(f\/f**(-8)))\/f)\/f)\/f*f*f**(-5\/3))**47 assuming f is positive.\nAnswer: f**(-5405\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + sqrt(363) - (sqrt(363) - (-2 + sqrt(363) + -4)) - (3*sqrt(363)*1 + sqrt(363) + -6*1*sqrt(363) + 5))**2.\nAnswer: -330*sqrt(3) + 3292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - u**2 - 17*u - 104. Determine g(-5).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**2 - 196*o - 25. Let m be i(-39). Suppose -v + 4*w = -0*v - 13, 52 = 4*v - 5*w. Which is smaller: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -2\/9, 1\/5, 2\/5, 2\/3 in ascending order.\nAnswer: -14, -2\/9, 1\/5, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 4*l + l)*(1 + 0 + 36*l - 28*l) to the form z + w*l + o*l**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d + 5. Let q be n(4). Let y be (-2 - -1)*(q - -2). Suppose 2*f + 10 = -y*c + 409, -397 = -5*c - f. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/751302 and -29\/180.\nAnswer: 7513020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -24601.\nAnswer: 12\/24601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eemjxxejjeexemeemjee. Give prob of sequence ejxm.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kggkkkg. What is prob of sequence gk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12224*c = -12226*c - 24 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -2. Suppose 5*f = 20, f = 5*y - 3*f - 799. Let z = y - 164. Put 1, z, k in decreasing order.\nAnswer: 1, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k - 2*k - k**3 - k**3 + 0*k as q*k + b*k**2 + z + f*k**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 11*v**5 + 6*v**3 + 3*v + 6. Let m(t) = 32*t**5 + 17*t**3 + 9*t + 17. Let j(n) = -6*m(n) + 17*s(n). Find the second derivative of j(a) wrt a.\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 609 divided by 7\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 6 = 5*m. Suppose -8*q + 6*q - 3*c = -128, -240 = -4*q - 2*c. Let a = q + m. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**4 - 7050000*l**3 - 3106434449872*l**2 - 24851137200000*l - 49702048801024 = 0.\nAnswer: -881246, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 0.4, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -104814 - -4167400\nAnswer: 4062586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -7.03. Let l = -0.33 + g. Sort -3\/5, l, -4.\nAnswer: -4, -3\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -12. Suppose l + w = 5. Solve 1 = 2*p - l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3379 + 6343. Suppose -m = -7*h + 21473. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58752 and 8348292?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 308 - 259. Suppose -32930 = -y*z + 880. What are the prime factors of z?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let n(o) = o**2 - 2*o - 17. Let g be n(5). Which is the biggest value? (a) 1\/5 (b) g (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11666767*u + 1178 = 11666736*u for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4\/5 - 296*m**3\/5 + 5571*m**2\/5 - 14076*m\/5 = 0 for m.\nAnswer: 0, 3, 17, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 68 + 19 - 30 - 8*s**2.\nAnswer: -8*s**2 - 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 15*w**3 - 40*w**2 - 33*w + 7. Determine q(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3 - 12344*g**2 + 2*g + 12344 = 0. Calculate g.\nAnswer: -6172, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 45 (b) -2.4 (c) -107 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8254.\nAnswer: 2, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-270)\/162*(-210)\/(-100)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, -3, 33?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 231 - 256.2. Let k = p + 28.94. Let u = 0.74 - k. Put u, 3, -0.3, -4 in decreasing order.\nAnswer: 3, -0.3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31757 + 31038 = 1435*p + 5357 - 2832 for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 458283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (6 - 5) - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30049\/5 - 6011. Let y = -0.22 - 6.78. Let s = 5 + y. What is the smallest value in s, u, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**9\/5040 + g**8\/560 - g**7\/168 + g**6\/120 + g**4\/12 + 6*g**2. Let d(r) be the second derivative of i(r). Factor d(s).\nAnswer: -3*s*(s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*x - 146, 8*x = 3*x - 5*n + 235. Let h = x + -19. Let q = 288 + -85. Calculate the greatest common divisor of q and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -93*t - 1526. What is u(-17)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 724, 3\/4, 0.01 in ascending order.\nAnswer: 0.01, 3\/4, 724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 664334173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35.9977 and -88?\nAnswer: 3167.7976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/140 and 3 - (-14)\/(-6) - (-543621)\/(-734580)?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4, 5, 22, 47, 80, 121?\n\"Answer: 4*h**2 - 3*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 6*t + y - 46, 0 = -3*t + y + 69. Calculate the remainder when 131 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1293382.\nAnswer: 2, 23, 31, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2628306 is divided by 20368.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/5, -41, -2, -0.5, -232?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7174 (base 9) in base 2?\nAnswer: 1010010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -7, 81, 203, 359?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/27, 311\/2, -2, 7, -1\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kikbidbxkk. What is prob of picking 1 k and 1 i?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -13*l + 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 74281 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.71 + -0.31. Let k be (8 + -9 - 3) + 3. Put j, -2\/3, k, -1\/4 in descending order.\nAnswer: j, -1\/4, -2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = z + 21. Let h be (-6)\/21 - z\/(-7). Let q(f) = -2*f**2 + 239*f - 127. Let m be q(119). Is m greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 12:50 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.6 - -5.4. Let t = -1178.63293 - -1202.633. Let x = y - t. What is x rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 + -62. Let x = -0.6 + 1. Let l be 4\/7 - 2\/(-7). Which is the nearest to r? (a) l (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - d - 1)*(-284*d + 13 - 3*d**2 - 7 + 276*d).\nAnswer: 3*d**3 + 5*d**2 - 14*d + 6","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -16503, -16495, -16499, -16527, -16591, -16703, -16875?\nAnswer: -17119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 3570903?\nAnswer: 3570907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2928*b**6 + 1827*b**2 wrt b?\nAnswer: -351360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*i**3*s - i**3 - 2*i**2*s - 2*i*s + 270*i wrt i?\nAnswer: -294*i*s - 6*i - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -61*o**3 - o**2 - 2*o - 8. Let m be d(-2). What is the highest common divisor of m and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-936)\/(-351)*(-27)\/(-8))\/(18\/(-126))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7a (base 14) to base 2\nAnswer: -1101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150254 (base 7) to base 12.\nAnswer: 14905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*p - 155 = 157 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*o - 115*o - 51870 = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 10.8.\nAnswer: -32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 9\/526066 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 - 8 - (-1 - -1). Suppose 82 = 4*r - 3*r + q*j, 0 = -3*r - 4*j + 246. List the prime factors of r.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t - 3*t + 2*t)*(-124*t**3 - 1224*t**2 - 1230*t**2 + 2454*t**2) in the form c*t**3 + h*t**4 + g + u*t + a*t**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(((-36)\/30)\/6)\/(7\/35).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 64 = -2*r. What is the remainder when r is divided by (-176)\/(-28) - 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + 31*t. Let d(m) = -5*m + 60. Let p(w) = 5*w - 70. Let y(g) = 7*d(g) + 6*p(g). Determine u(y(v)).\nAnswer: 75*v**2 - 155*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5944 - 241*l + 5944)*(2 + 2*l - 4*l - 1).\nAnswer: 482*l**2 - 241*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 25*g + 81. What are the prime factors of q(30)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*b = -264*b - 6. Suppose 4*i + 4*f - 364 = 0, 0*f + 257 = 3*i - 5*f. Put b, i, -2 in descending order.\nAnswer: i, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/2)\/(5\/5). Let k be w\/2 + (1 - 0). Let q(m) = m. Let c be q(1). Solve k*t - c = -7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009087457 to five dps.\nAnswer: 0.00909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.57 - 310\nAnswer: -310.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, 9, 0.18, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**5\/60 + 3*a**2. Let o(q) = 3*q. Let h(p) = -4*p. Let n(v) = -4*h(v) - 3*o(v). Give n(k(c)).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 2080.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -9169*r**3 + 8*r**2 + 5*r + 49. Let c(l) = 4*l**3 + 2*l**2 - l + 3. Let x(u) = 5*c(u) + z(u). Find the third derivative of x(h) wrt h.\nAnswer: -54894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5040879, -5040877, -5040875, -5040873, -5040871?\n\"Answer: 2*q - 5040881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.68, 3, 0.1, -0.1, 0.3.\nAnswer: -2.68, -0.1, 0.1, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4914, -9806, -14698, -19590, -24482?\n\"Answer: -4892*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -238*q**3 - 21*q + 7 wrt q.\nAnswer: -1428*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000296785983 rounded to six decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 2. Let q be u(-5). Suppose d - 7 = 2*x, -d + 3 = -3*x - 1. Suppose y + d = 5*i, 4*y = -2*i - 4 - 4. Solve i*h = -1 - q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -309*h**3 - 923*h**2 + 12*h.\nAnswer: -h*(h + 3)*(309*h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n*(n*n**(-15))\/n)\/n)\/n)\/n*n\/n**3 assuming n is positive.\nAnswer: n**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (810\/21)\/3*8099\/3471.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/4))**(-3\/8))**(-1\/39)\/((w**(-1\/7)\/(w\/((w**(1\/4)\/w)\/w*w)*w*w))\/(w**(3\/2)*w*w\/w**(-5)*w*w)) assuming w is positive.\nAnswer: w**(41919\/2912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (2 + -1))*(10 - 11). Let v = -6 - -3. Put 1, -0.3, v, s in descending order.\nAnswer: 1, -0.3, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193337 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16017.90661 rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 2*m**2 - 5*m - 5. Let f be r(-3). Is 19 a factor of 35\/f - 0\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g - g - g)*(-7*g + 162 + 0*g + 6*g) to the form w + o*g**2 + c*g and give c.\nAnswer: -1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/35)\/((-18)\/(-15)). Let g(c) be the first derivative of 0*c - j*c**3 + 0*c**2 - 2. Let x(n) = -2*n**2. Determine x(g(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -r + 15, -5*r + 1 = 3*t - 18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 558, 1084, 1602, 2112, 2614, 3108?\nAnswer: 3594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2621890784.\nAnswer: 2, 81934087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*p**3*y*z - 4*p**3*y + 82*p**3 - 101*p**2*y*z - 2*p**2*y + 9*y wrt z.\nAnswer: -7*p**3*y - 101*p**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 3*y**4\/4 + y**3 - 147. Let l(q) = q**3 + q**2. Give -l(v) + o(v).\nAnswer: 2*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 <= -243\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79801075 - -254590.\nAnswer: 80055665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -161*c + 10. Let g(f) = 189*f - 10. Let u(s) = 6*g(s) + 7*z(s). Let y(n) = 6*n + 9. Calculate 5*u(v) - 6*y(v).\nAnswer: -v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8158 - 4\/(-20)*-25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159 + 7*f + 3 + 20.\nAnswer: 7*f - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/(-28) + (-1)\/4)*-1. Solve -w + 2 = 2*b, -b = -w - m + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(8)*4) + sqrt(15)\/sqrt(3) + 4)**2 + 1.\nAnswer: 10*sqrt(5) + 397\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7084 * -0.643.\nAnswer: -4555.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -411 and -230.\nAnswer: -641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, d: 1}. What is prob of sequence iid?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 503001623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -318dee5?\nAnswer: 318dee7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 29*f**6\/10 - 9*f**5\/20 - 1589*f**2 - 2210*f. What is the first derivative of x(m) wrt m?\nAnswer: 348*m**3 - 27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, -15, -4, -1400, 4, -5 in decreasing order.\nAnswer: 4, -3, -4, -5, -11, -15, -1400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 8 - (14 + -25).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-97)\/5 - (-4)\/10. Let p be -2*s\/2 - -2. Is 163\/7 + (-6)\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7. Suppose -3*m = -f + 11, o = -m - 0*m + 3. Solve 6*a - 2*a = -f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 11230*a - 3424900.\nAnswer: 2*(a - 290)*(a + 5905)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 6*z**5\/5 + 55*z**3\/3 - 40. Find the third derivative of d(o) wrt o.\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i + 18 = 42. Solve 11*f - 6*f - 2*y + 24 = 0, 5*y = -4*f - i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-10)\/((h*h**(4\/9)*h*h*h)\/h)*h**(-4)\/(h\/(h\/(h**0\/h*h))) assuming h is positive.\nAnswer: h**(-157\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -2\/15, 226, 252, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -421*n**2 + 11163 - 11122 + 331*n**2 to b + f*n**2 + h*n and give b.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 21*t**3 - 36*t**2 + 14*t - 3. Does 31 divide l(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527.9624 kilometers in centimeters?\nAnswer: 52796240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 10*m + 18. Let j be s(14). Let a = -43 + j. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, h: 6}. What is prob of sequence hv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155089 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 9*m**2 + 6*m + 17. Let x be s(-8). Is x < 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-228)\/10)\/(-3))\/1 + 15\/(-25).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26839330 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -138 + 58*f**2 + 71 + 67 as c*f**2 + a + q*f and give c.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*n - y = 176*n + 13, 0 = -3*n - 3*y + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 183344, 366693, 550042, 733391?\n\"Answer: 183349*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, -5, 0, 5 in descending order.\nAnswer: 148, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 45. Let r = x + 1. Let i(j) = -4*j - 2. What is i(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 4\/11 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/41040 and -125\/1761072.\nAnswer: 79248240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17562238 divided by 1?\nAnswer: -17562238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-6) - 2\/4)\/(-1). Does 13 divide -2 + t + (0 - -4) + 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 31 - (-615 + 593).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(1*sqrt(6)) - (sqrt(150)\/sqrt(5))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -22*b**2 - 6*b - 13. Let s(y) = 3*y - 4. Determine s(a(d)).\nAnswer: -66*d**2 - 18*d - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*i + 4676 - 4676)*(0 + 0 - 3*i + (-2 + 4 - 3)*(-i + 2*i + 0*i) - 3*i + 5*i + i) + 2 - 2 + i**2 to the form r + j*i + n*i**2 and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1740, 1786, 1832?\n\"Answer: 46*o + 1694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 31, 56, 83, 112, 143, 176?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4 * -0.05.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*r = -17, -5*r = -0*r + 15. Let f(t) = 7*t**2 - t - 1. What is f(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211 - 12002?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2355.694 take away 31?\nAnswer: 2324.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + 101010011100010000100011000?\nAnswer: 101010011100010000100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2100174 divided by 8\nAnswer: 1050087\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**7\/840 + d**6\/180 + d**5\/120 - d**4\/3 + 3*d. Let x(k) be the third derivative of r(k). Does 8 divide x(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77.5 - -199. Let o = w - 121. Put -1\/3, 0.7, o in decreasing order.\nAnswer: 0.7, o, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2339 - -1363. Let p = 975 + c. Let f = 0 + 0.1. Sort -3, p, 1, f in descending order.\nAnswer: 1, f, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 132*j - 166. Give f(3).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 80*i**2 - 77*i + 166. Is n(79) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m**2 - m**3 - m**2 + 7 + 0*m**3 + 0*m**3 + m - 14. Calculate c(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -41.812 and 84?\nAnswer: 125.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 10 = 34 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.48550975 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -145.57 rounded to zero dps?\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-78)\/4*(-9 - -4 - -1). Calculate the greatest common divisor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 0*l**3 + 0*l**4 + 2*l - 2\/5*l**5 + 3 + 0*l**2. What is the derivative of x(h) wrt h?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -3\/4378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 83 = -3*a, 0 = 5*a - 4*b + 40 + 89. Let l = -24 - a. Suppose -g = g - 38. Calculate the remainder when g is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 17. Let k = 12 - x. Suppose 0 = 4*n + k*f + 3*f - 102, -4*n - 4*f = -100. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37047, 73851, 110653, 147453, 184251?\nAnswer: 221047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807000 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 + 10*j - 9. Let c be q(8). Let r be 6*(c\/(-9) + -3). Solve -2*h - r = -6*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148766258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2739\/1)\/(22110\/670).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -18. Suppose -5*f - p*y - 3 = 12, f + 2*y = -8. Factor -1 + f + b**4 - b**2 - b**2.\nAnswer: (b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 488639511?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6307 (base 10) in base 16?\nAnswer: 18a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*u - 22*u - 1755 - 20*u + 1755.\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 35576*s**3 - 7*s + 21. Let v(o) = 124515*o**3 - 24*o + 72. What is 24*p(g) - 7*v(g)?\nAnswer: -17781*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -21. Suppose -1344 = -6*o - g*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 5) + -2 + 9. Suppose 4*n = -c*t, -5*t - 5 = n + 10. Solve -2*l + 2 - 12 = r, -n*r = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 4 = 10*i. Suppose -i*n - 36854 = 2*d, -5*n + 12812 = 5*d + 58877. Is n\/(-22) + 8\/44 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1998*p**3 + 3*p**2 + 27*p + 61. What are the prime factors of q(-2)?\nAnswer: 13, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 11. Suppose u*n = 34 + 121. Calculate the remainder when 123 is divided by n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/206816308 and -119\/35436.\nAnswer: 620448924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 85 = -10*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t - 17. Let j be y(-10). Let z(u) = -9*u + u**3 + 2 + u - 2*u**j + 7*u**2 + 0. What is z(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10699?\nAnswer: 13, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -11*v**3 - 2*v**2 - 13*v. Let m(l) = -5*l**3 - l**2 - 6*l. Give -3*i(k) + 7*m(k).\nAnswer: -2*k**3 - k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -56. What is the second smallest value in 3\/4, d, 3, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 37?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 530, -1346 in ascending order.\nAnswer: -1346, -4, 530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, -14, -31, -64, -119, -202?\n\"Answer: -z**3 + z**2 - 3*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n*n*n*n\/(n**(-21\/5)\/n*n)*n*n*n)))\/n*n**(-19)\/n)**(1\/6) assuming n is positive.\nAnswer: n**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5ada (base 14) to base 3.\nAnswer: -210202212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 10*n + 2. Let u be 134\/522 + (-6)\/27. Let p = u - 89\/58. What is the closest to -2\/5 in 3, p, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**4 + f**4 - 2*f**4 + (-112 + 112 - 29*f)*(2*f**2 + 10*f**3 - 2*f**2) to the form l*f + k + b*f**3 + q*f**4 + y*f**2 and give q.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -7\/5*k**6 + 29\/2*k**2 + 0*k**5 + 0*k**3 + 0*k**4 - 59*k + 0. Differentiate d(g) with respect to g.\nAnswer: -168*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*w - 147*w**5 - 51*w + 83*w wrt w?\nAnswer: -2940*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4184*z**4 + 3*z**3 - 5*z**2 - 341*z + 106 wrt z.\nAnswer: -100416*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = t. Suppose t*r = -3*r + 3. What is the first derivative of -r - 4*z + 3*z - 2*z wrt z?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*k - 5*q, -4*k = 55597*q - 55594*q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -578446 + 17\nAnswer: -578429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 3 + 4 - 6 - 3*c**2 + c**3 + c. Let m be g(4). Suppose 1218*z = 1198*z + 200. Calculate the highest common divisor of z and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 33\/(-15) - (-2)\/10. Is o\/4 - 252\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 343714939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/3 - 1*(-4)\/(-12). Let i be ((s\/(-5))\/((-6)\/(-20)))\/2. Which is greater: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 1 - 473*i + 240*i + 234*i as n + y*i and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 + 236 + 156 - h - 492.\nAnswer: -h + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20370641 * -3\nAnswer: -61111923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 - 545 = -37*m + 640. Let l = -5 - -6. Put m, l, 3 in descending order.\nAnswer: m, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23765529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -42, -65, -86, -105, -122?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 51, 5*q + 5*q + r - 264 = -231 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/4)\/((492\/22752)\/41). Calculate the greatest common divisor of 79 and a.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 188217820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564604.\nAnswer: 2, 17, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88*u**6 + 5301*u**5 - 628680*u**2 wrt u?\nAnswer: 10560*u**3 + 318060*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.588? (a) 0.13 (b) -5 (c) -0.7 (d) 5 (e) -2 (f) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 131*y**4 - 10*y**2 + 3070*y - 5. Let r(a) = 196*a**4 - 16*a**2 + 4605*a - 8. Let x(b) = -5*r(b) + 8*s(b). Find the second derivative of x(d) wrt d.\nAnswer: 816*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - -5) + (-6 - -8) - (-39 - -38).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12357368 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131753, -131759, -131779, -131819, -131885, -131983?\nAnswer: -132119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*o - 4*w, -73*w = -77*w + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.08 - 52.92. Let z = -59 - f. What is the third smallest value in 0.5, z, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from {i: 1, t: 1, o: 1, p: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 356 * 0.4\nAnswer: 142.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/12 and -61\/354?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5\/5 + 4206*j**4\/5 + 233127*j**3\/5 - 978852*j**2\/5 + 1241484*j\/5 - 499968\/5 = 0. What is j?\nAnswer: -1344, -62, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45430.4 rounded to the nearest one thousand?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5\/15 + 4*f**4\/15 - 26*f**3\/5 - 304*f**2\/15 - 224*f\/15 = 0 for f.\nAnswer: -4, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3) - (-264)\/36. Suppose 3*d + 284 = 1769. Suppose 8*h = -x*h + d. Calculate the greatest common factor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2553\/5, -2, 5, 0?\nAnswer: 2553\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from {q: 3, u: 1, f: 2, v: 3, b: 1, x: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25618.\nAnswer: 2, 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71238 and 6510?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*r = -92*r + 5*m - 53820, -2*r - 3*m + 35880 = 0. Is 130 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001576916 rounded to seven decimal places?\nAnswer: 0.0001577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -9\/50, -5, 2, -1\/8, -7?\nAnswer: -9\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 58, 350, 1100, 2536, 4886?\n\"Answer: 38*k**3 + k**2 + 23*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 6:52 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)\/(u\/(u\/(u*u\/(u*u**5*u)*u)*u))*(u**(2\/7)*u)**11)**(-25) assuming u is positive.\nAnswer: u**(-3000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1720\/516)\/(4\/(-6)). Let c(p) = -p**2 - 8*p - 8. Determine c(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22443 + -14518. List the prime factors of t.\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(19) + 0 - 1*sqrt(304) - ((sqrt(1900) + 2)*1)**2) + -2 + 4.\nAnswer: -1904 - 43*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-2)\/530*3255\/(-1302)?\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11087192 and -1.\nAnswer: -11087192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.955 - -12.3672. Let y = -1.41 + m. Round y to 4 decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6242\/13 - (-12)\/(-78). Let m = r + -323. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -94367*x**2 + 566194*x + 25. Give i(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14649 or 2065675\/141?\nAnswer: 14649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11708666.\nAnswer: 2, 827, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*x - 96*x - 44*x.\nAnswer: -171*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -477, 67, -311 in decreasing order.\nAnswer: 67, -311, -477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 5. Let k(c) = -c**2 - 2. Suppose -9*f = -8*f - 5. Give f*k(n) + 2*x(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26734 - -45565. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.024 - -0.343. Let a = 0.019 - b. What is the fourth biggest value in a, -4, -1, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 8*n**3\/15 + 2*n**2\/3 - 4*n\/5 = 0.\nAnswer: -2, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01451867 times -0.01?\nAnswer: 0.0001451867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 226577?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10*u**3 - 4*u. Let s(d) = -11*d**3 - 3*d. Determine -3*h(t) + 4*s(t).\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*n - 132*n + 2436 = -264*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5 = k + d, k = -d - 5. Let c = 5 - 5. Is c at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -9*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/35 - 23\/(-70)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-6)*(-3 - -1)*-3. Suppose -2*o = -p*r - 683, -r = -4*o - 0*r + 1351. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 906, 907, 908, 909, 910?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 6 - 8) + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23040, 23039, 23038?\nAnswer: 23037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (297\/(-108) - -12) + ((-44)\/(-16) + -3)*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s - 2. Let a(b) = 3*b - 4. Suppose -x = -2*x + 5. Calculate x*n(p) - 3*a(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r + 17. Is c(6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 4. Let u be 2\/(-3) - (-16)\/b. List the prime factors of (18\/10)\/(u\/(-20)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/48 and -3\/8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -5f576?\nAnswer: -5f574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i + 222 = 5*f, -2*f = 5*i - 286. Calculate the remainder when i is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - (-47 - 23 - -100).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5. Suppose w*v - 20 = -4*v. Find the first derivative of -3 + 6*a**4 - 10*a**4 + v*a**4 wrt a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384615?\nAnswer: 3, 5, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -102ca (base 15) to base 2\nAnswer: -1100100001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30639*t**2 - 3082 wrt t?\nAnswer: -61278*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26\/7 - -473\/133. Which is smaller: w or 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010001 - 11110110001100111?\nAnswer: -11110101111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l + 26*l = -12*l + 69708. What is the remainder when l is divided by 230?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/68 and 27\/63 - 19060\/49504?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4 + 24*c**3 - 2487*c**2 + 11784*c - 13860 = 0. Calculate c.\nAnswer: -35, 2, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 475\/8 or 59?\nAnswer: 475\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 + (-32)\/14. Suppose -22*y = -8*y - 56. Let j be 1\/(y*m\/(-1872)). What is the greatest common factor of j and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 = -9. Suppose -3*m = -f*m + 12. Let a = -2512 + 2516. What is the highest common factor of m and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, n: 6}. What is prob of picking 2 v and 1 n?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011100 (base 2) in base 4?\nAnswer: -2130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -111 or -158.3?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + s + s + 3028, -2*n + s = 6036. Let k = n - -12987. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiii. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 4*t - 6. Let u be (t + -2)\/(-11 + 14). Suppose 0 = y - 3*b + 4*b - 7, u = 5*y + 2*b - 23. Solve -y*d = -4*l - 2 + 3, -2*l = 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22023 - 11?\nAnswer: 22012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c60c2 + -f?\nAnswer: -2c60d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 11*t - 1. Let k be s(1). Let n = k + -8. Suppose b = n*b - 3. Solve 0 = -3*u + b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36281?\nAnswer: 7, 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -81?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 2*a - 1. Let p be n(-5). Suppose 2*t = t - p. Let k = -6591\/8 - -826. What is the common denominator of k and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*d - 7*z - 32, -12 = 3*z. Suppose 3*p - 7 = -3*j + 23, -2*j - 5*p + 8 = 0. Suppose 2*c = -d + j. Calculate the remainder when c is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 27*a**2 - 110*a + 5. Let t(g) = -g**2. Let o(l) = -s(l) + 4*t(l). What is the remainder when 165 is divided by o(27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48 - ((-3)\/(-3) - -5). Let t = 64 - 43. What is the highest common factor of t and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44114011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 7 + -4)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 453422 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45179*g**2 + 2061 wrt g.\nAnswer: -90358*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d + 316 + 313 - 628.\nAnswer: -11*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-3)\/1)*-2. Sort i, 4, 5, 3 in ascending order.\nAnswer: i, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -271, -541, -811, -1081, -1351?\n\"Answer: -270*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - s**2 + s**2)*(3*s - 11 + 4 + 4 + (-1 + 1 - 4*s)*(-5 + 0 + 3)).\nAnswer: -22*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34\/9779 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/(28\/70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 12*t + 10*t = 0. Suppose 4*j - 2*o = 52 - 54, 4*o - 20 = t. What is b in -3\/2*b**j - 2 + 13\/2*b = 0?\nAnswer: 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117194004083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 6*b - 31. What is s(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = -891*m + 866*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 1:41 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8)*p*p**(-8))\/(p*(p\/(((p**(-1\/2)\/p)\/p*p)\/p))\/p*p)**(6\/11) assuming p is positive.\nAnswer: p**(-192\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10 and 807260757?\nAnswer: 807260747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-14)*z**(-22)*z assuming z is positive.\nAnswer: z**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from nnnvvcivnc?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.465 - -23.635. Let w = -25.6 + d. Round w to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1635153 (base 7) to base 14\nAnswer: 5cc9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -4*q**4\/3 + 10*q**3\/3 - 29*q. What is the second derivative of g(t) wrt t?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -12*p - 15. Let v be o(11). Let t = 288 + v. Suppose -5*x - 3*q + 370 = q, -t = -2*x - 3*q. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221250382 divided by -1646?\nAnswer: -134417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -22, -13, 2 in descending order.\nAnswer: 2, 1, -5, -13, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*z + 47*z + d = -252477, -2*d - 168326 = -2*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**5\/20 - y**4\/6 - 19*y**3\/6 + 17*y**2\/2 - 3586*y. Determine i(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-91)\/7 + 10)*-58 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 4\/1779?\nAnswer: 4\/1779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44.85 + 0.85. Let m = 43.99886 + i. What is m rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**3 + 2*v**2 - 5*v + 2. Let q be y(1). Solve -27 = -h + 5*i, -q = -3*h - i - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 - 5 + 7*j**3 + 2 - 1 wrt j.\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*(-84)\/2646*(-45)\/18.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 23*l**2 - 125*l - 204. Let q be x(-16). Let g(o) = o**3 - 3*o**2 + 4*o - 27. Give g(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53958.\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 481 = -474 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -276294, -1, -3 in increasing order.\nAnswer: -276294, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n - 26*n - 24*n + 81*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 9407 (b) 1\/5 (c) 1\/6 (d) -2\/5 (e) 5 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17978, 71861, 161656, 287363, 448982, 646513?\n\"Answer: 17956*d**2 + 15*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**5\/10 - g**3\/3 + 3*g**2\/2 - 5*g - 1. Calculate z(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*((-12152)\/35)\/(-7). What is the common denominator of 4\/(-10) + 1011\/(-60) and 371\/(-184) - 31\/z?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -491\/591 - 1\/394. Is h not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*t + 59*t + 304*t**3.\nAnswer: 304*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(-4)\/(-60)*2418. Suppose -3*x = 2*y - 5*x - 548, 3*y - g = -x. 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: (-2107)\/3724 - (2795\/(-247) + 11)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 6:27 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.08253 months to millennia.\nAnswer: 0.0075068775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3659965 is divided by 7053.\nAnswer: 6511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, a: 3, x: 8}. Give prob of sequence uaxx.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (98\/(-735))\/((-2)\/(-12))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*r - 6 = 0, -3*s - 31*r - 1 = -33*r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**2. Let t(l) = 1179*l + 1414*l + 828*l - 783*l. Calculate t(b(p)).\nAnswer: -13190*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -3*sqrt(4)\/sqrt(2) + 2 + -4.\nAnswer: -2*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 n when three letters picked without replacement from {l: 9, k: 4, n: 3, z: 2, c: 1}?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1307, -8174.7, 2 in decreasing order.\nAnswer: 2, -0.1307, -8174.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*v + 195*v + 4*v + (52 - 8 - 96)*(0 - 2*v + 0) to the form y*v + t and give y.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37*132\/(-1628))\/(1*2\/(-10))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 132 = -5*h + p, 4*p + 12 = 0. Suppose 30*c - 420 = h*c. Calculate the remainder when c is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6509903?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 2, -53, 5, 10.\nAnswer: -53, -6, 2, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, 2\/9, -0.345, 4, -5, -27?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-62 + 2*s - 51 + 107)*(2 + 5 - 2) as r*s + v and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1094 or -2.564?\nAnswer: -2.564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -22. Let p = o - 7. What is the closest to -0.1 in p, 1\/7, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5835 - -5825. What is the second smallest value in f, 0.1, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 230678*i*p - 31*p - 281 with respect to i.\nAnswer: 230678*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -138*s + 174*s + 504. Sort 2, s, 3, -29.\nAnswer: -29, s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1161 - 903. What is the greatest common divisor of i and 1720?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -279 < 0.06634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 11*u**2 - 8*u - 17. Let l be o(10). Suppose -3*w = 5*s + 8, -4*w - s = -2*w + l. Let z(v) = 12*v**2 - 1. Give z(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -252321 + 4?\nAnswer: -252313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 434, 1711, 3744, 6455, 9766, 13599, 17876, 22519?\n\"Answer: -13*t**3 + 456*t**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2983378, -2983378, -2983380, -2983384, -2983390, -2983398, -2983408?\nAnswer: -2983420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*n - 757 = 428 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4909 - -9730. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -8\/3 (b) -16\/21 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + q + 269 = 3*m, -5*q = -2*m + 175. Let l be m\/36*(-4)\/(-10). Suppose -2*x - l = -13. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 401598293 * 1\nAnswer: 401598293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2652531 is divided by 884150.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + h**2 - 2*h**2)*(-3*h - 2*h + 0*h) + 2*h + h + 2*h**3 - h.\nAnswer: 7*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -10 - 6. Let c(s) = 3*s. Let o(w) = w. Let u(v) = 3*v - 41. Let n be u(14). Give n*c(i) + r*o(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000187982 rounded to seven dps?\nAnswer: -0.0000188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -88345813?\nAnswer: 26503743.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 3*o + 0*o)*(-78 + 50 + 39*o - 1).\nAnswer: 78*o**2 - 58*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, b: 1, j: 2}. What is prob of sequence jnj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33\/2*c - 27\/2*c**2 + 30.\nAnswer: -3*(c + 1)*(9*c - 20)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3919 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + m = -0*m + 3, 5*a - 5*m = 45. Suppose -x = -107 - a. What are the prime factors of x?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 + 27848911.\nAnswer: 27848911.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + p**2 - p + 1. Suppose 11*m = 6*m. Let b be u(m). Suppose -w - 77 = -2*a + b, -3*a - 4*w + 128 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**2 - 13*n + 39. Determine j(6).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258581013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 16\/7*l**2 + 4\/7*l**3 - 2\/7*l**5 - 4\/7*l**4 + 4\/7 = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.5 (b) -2881 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0 - (60 + -57).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79063*t**3 + 2*t**2 - 23332*t.\nAnswer: -474378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -12. Suppose 2*m + n*b = -0*m - 21, -3*m - 4*b - 14 = 0. Suppose 0 = -m*t - 46 + 222. Calculate the remainder when t is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-25)\/(-150))\/((21\/(-1701))\/(2\/6)))\/(-1).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 531 = 12*b + 399 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/50 - (-348)\/10. Let r = v - 2. What is the highest common factor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tasvbfb. Give prob of picking 1 t, 1 a, and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 8*k. Suppose 0*f - 5*f - 35 = 5*i, -3*f = -i + 5. Let p(s) = s**2 + 3*s. Let n(u) = f*m(u) + 8*p(u). Let b(h) = -7*h. Calculate n(b(r)).\nAnswer: 98*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26 - 7*z**3 - 16 + 7 - 6*z**2 + 19*z**3 with respect to z.\nAnswer: 36*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 408 and 1242.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 - 11 = 8*l. Let n be 17 + -16 - (1 + l). Suppose -9*a + n = -0. Solve 0*g + 9 = -a*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**3 - 2*o**2 - 2*o + 3. Let l be 15\/2 + 2\/4. Let k = -5 + l. What is the least common multiple of w(2) and k?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddcddwdddw. What is prob of sequence cc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzzk when four letters picked without replacement from {i: 1, k: 3, z: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -97.9865 to zero dps.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*s + 91 = -20 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllplllpll. Give prob of picking 1 p and 2 l.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86385*a + 0 + 0 + 0.\nAnswer: -86385*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1041)\/(-4) + (-2)\/8. Let o be f\/(-10)*1\/(-2). List the prime factors of 4\/(-26) - (-184)\/o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9015.21114 - -9015. What is o rounded to three decimal places?\nAnswer: -0.211","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 199, 187, 157, 103, 19?\n\"Answer: -d**3 - 3*d**2 + 4*d + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j + 5. Let n(q) = 5*q - 6. Let o(r) = -14*r + 17. Let g(x) = 17*n(x) + 6*o(x). Let a(y) = 6*g(y) - p(y). Calculate a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113*f**4*w - 4*f**3*p**3 - 2*f**2*p - 2*f*p**3*w - 191*f*p*w - 2*w wrt f.\nAnswer: 1356*f**2*w - 24*f*p**3 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 21)*(-5*q + 0*q + 2*q) + (1 + 1 - 4)*(6 - 14*q - 6).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 18*b + 149. Let z be r(-8). What is the closest to -1 in -5, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10.46, 4.7 in decreasing order.\nAnswer: 4.7, -4, -10.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.5 - -6. Let c = k + -0.5. What is the nearest to c in 5, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + 25. Let x(c) be the second derivative of -c**3\/3 - 30*c. Determine z(x(a)).\nAnswer: 8*a**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 283, 293, 303, 313?\n\"Answer: 10*p + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**5\/20 - 7*o**3\/6 + 10*o**2. List the prime factors of f(-5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + z - 4*a = 8, 2*a = -z + 11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) 15 (c) 2\/7 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 100971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 509*u - 502*u - 336 = 0. Calculate the lowest common multiple of 72 and u.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30058, 121149, 272970, 485521, 758802, 1092813, 1487554?\nAnswer: 1943025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 3. Let m be g(-3). Let u = 244\/11 + -22. Solve -u*o**2 + 2\/11 + m*o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -87 and 135 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/2*((-11850)\/(-330) + -36). Let w = 0.3 - 0.2. Let k = -1.1 + w. Which is the closest to -1? (a) k (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -94, -404, -1202, -2722, -5198, -8864?\n\"Answer: -39*f**3 - 10*f**2 - 7*f - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 2 (b) 25 (c) 3.9 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/5 + 214*u\/5 - 2032 = 0. Calculate u.\nAnswer: -254, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (110 + -115 - 224\/(-3))\/(2\/30). Calculate the greatest common factor of 10 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 10*q**2 - 8*q**2 + 2*q - 4 + 2 - 3. Let f be v(-5). Let j = -14 + f. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 (base 13) in base 12?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {h: 2, o: 8}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9)\/(d**9*d)*d**(-1)*d**(-1\/8))\/(d**(-4)*d**(1\/3)*(d**(1\/3)\/d*d)\/((d\/(d*d**(-1\/6)))\/d)) assuming d is positive.\nAnswer: d**(-605\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 2*m + 4*m)*(-440 + 440 - 20*m)*(-3 + 3 - 1 + (5 - 2 - 2)*(4 - 3 - 2) - 4 - 1 - 8).\nAnswer: 600*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 1. Let z(c) = -c**3 - 4*c**2 - c + 2. Let l be z(f). Let m be (-72)\/(-27) - 4\/l. Solve -m*s + 14 = -2*h + 3*s, h - 4*s = -10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 89498, 89519, 89554, 89609, 89690?\n\"Answer: a**3 + a**2 + 11*a + 89485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 36 = -4*f. Let a = 10961\/6 - 1819. What is the common denominator of a and 1 + -1 - (-278)\/f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8738224 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: Is 30307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*h**4 - 42*h - 72*h**4 + 26*h**4 + 23*h**4 - 2*h**2 - 70*h in the form t*h**2 + x + k*h + y*h**3 + c*h**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.06822 to 3 dps.\nAnswer: 6.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.25697 years to decades.\nAnswer: 9.625697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 5*b**5\/4 + b**4\/12 + 5*b**3\/6 + 7*b. Is n(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 435, 847, 1263, 1683, 2107, 2535, 2967?\nAnswer: 3403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*s**5 + 15807779*s**3 + 22*s - 1181414 wrt s.\nAnswer: -100*s**3 + 94846674*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 324?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3752 + 0.0346. What is t rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Let m(i) = -2*i**3 - 6*i**2 - 4*i + r*i**3 - 2*i - i**3. What is m(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 + 5*z**2 + 2*z + 9*z**2 + 3*z**2 - 3*z as q*z**3 + i + c*z**2 + a*z and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 0*z**2 - 3*z**2)*((-z**2 + z**2 - z**2)*(6 - 1 - 2) - 57*z**2 + 1208*z - 1208*z).\nAnswer: 60*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40*(-6 + 171\/6). Suppose 0 = -6*q + q + c. Is 36 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -191875 (base 10) to base 6.\nAnswer: -4040151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*h**4 + 5*h**2 - 15*h**4 - 5*h**4 + 2 - 3*h**2 to the form k*h**3 + t + w*h**2 + i*h**4 + l*h and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1283 + 0.0283. Let s be 3\/4 + 0 + -1. Let l = -6.4 - -6. Which is the nearest to w? (a) l (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185660*f**2 + 119*f - 828?\nAnswer: 371320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 4*k + 2*k + 3)*(-5 + 3 - 3) to the form w*k + y and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9474 - 1149712107.\nAnswer: -1149702633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(10)\/(sqrt(4)\/sqrt(2)).\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y - 4. Let j = -42 + 51. Let d(l) = -19*l - 9. Let b(o) = j*f(o) - 4*d(o). Let u(k) = 3*k**2. Determine u(b(g)).\nAnswer: 75*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/(-70))\/((-2)\/(-182)). Suppose -i*o + 27*o = -4. Let u(b) = 2*b**2 + 2*b - 2. Let g(p) = -p**2 - 2*p + 1. Give o*g(a) - 3*u(a).\nAnswer: -2*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38867763 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7283 is divided by 1750.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -49. Suppose 2*y - 6 = -v*s - y, -32 = -4*s + 4*y. Let b be 4\/5*(-30)\/(-4). Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/8, -1\/7, 11, 0.07, 10 in increasing order.\nAnswer: -1\/7, 0.07, 0.1, 1\/8, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 743, 745, 747, 749, 751?\nAnswer: 753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1474 + -690. What are the prime factors of n + (6 - -36)\/6?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.39 + 0.09. Let x = 0.06 + 2.94. What is the biggest value in c, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 21 - (-56 - (30 + -27) - -134)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 4*b + 24836 = 0. What are the prime factors of b\/10 + -1*15\/(-25)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -8. Let j(x) = -1 - 2*x + 2 - 5*x. Give j(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27297163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00174377779 rounded to 6 decimal places?\nAnswer: -0.001744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4981688211?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -2*f + 4*c, 5*f + 10*c + 40 = 11*c. Suppose 8 + 8 = -4*s. Let l = s - f. Solve q + l*b = 4*q - 12, 4*q = 5*b + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 7. Let l = -1.9 - s. What is the nearest to -4\/7 in l, -0.2, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/170*(-17 - -7)\/60?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qoqtoqttboqqoqott. Give prob of sequence qott.\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151 - 136. Calculate the remainder when 50 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -9.\nAnswer: -9, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 7*x - x. Let k be 262\/x + 12\/(-78). Suppose 0 = 5*j - 10*j + k. Solve d = j*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**4\/3 - h**3\/2 + 3*h**2\/2 - h. What is w(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 723, 722, 721, 720, 719, 718?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154223?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3400?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2*c + 309 - 305 = 0, 0 = y - 3*c - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 12:17 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + 988\/260?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 6172.549019?\nAnswer: -6167.549019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 77 = 3*g, 4*g = -g + 2*o - 143. Let v = -20 - g. Solve 0 = -4*n - v + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 732 = -2*i. Suppose 0 = -13*u - 9 + i. Solve j + u*r - 2 = -0, 3*j = 4*r + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3 - g + 2 + 0 - 2. Let v be c(-4). What is the units digit of 432\/90 - v\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.419 * 0.2\nAnswer: -0.8838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 916159469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 55 + 11)*((-1 - 4 + 10)*(0 - 3 + 4) - 2 + 4 - 4)*(-5*l + 3*l + 0*l).\nAnswer: -474*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1385c6d (base 14) to base 7.\nAnswer: -143315066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 1\/10, -1\/6, 49\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8981?\nAnswer: 7, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10716*f + 10714*f = -18. Let c(d) = d**3 - 9*d**2 - 9*d + 63. Determine c(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-1*(2 + 0)). Suppose s = -v - 4, 2 + m = 3*v - 4*s. Is 815 - v\/(-1) - -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 + -0.5. Let y = -0.08 - -0.38. Let u = 0.3 - y. Which is the second smallest value? (a) i (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**7\/210 + n**6\/120 - n**5\/60 - n**4\/24 - 18*n**2 - 16. Let h(o) be the second derivative of c(o). Factor h(j).\nAnswer: j*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 15*r - 21. Let g be x(-16). Sort g, 0.5, -2 in descending order.\nAnswer: 0.5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x + 17. Let t be n(-5). Let j(l) = -l**3 - 8*l**2 - 2*l - 16. Let p be j(-8). Solve 3*c = t*b - 5, p = -0*c + 4*c + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31.6 and 5.5.\nAnswer: 173.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 6*p. Let i(s) be the third derivative of s**4\/24 + 39*s**2. Give 6*i(g) + y(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*s - 2436 = 0, -5*z + 9668 = -s - 2434. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -75 + 49?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + f**2)*(0 - 3 + 4 + (-3 + 3 - 2)*(0 + 1 + 1)) to r + q*f + g*f**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1415 + 1386. Suppose 4*x - 127 = d + 4, 96 = 3*x - 3*d. Let i = l + x. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 40 - 47 + 148*m + 274*m. Is b(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than 19\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8596 + 8596 - 142*d.\nAnswer: -142*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 + 2*c**2 - 2*c + 19. Let w(u) = -16*u**3 - 11*u**2 + 11*u - 96. Calculate -11*j(v) - 2*w(v).\nAnswer: -v**3 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 28340?\nAnswer: 28340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 327*g*q**5 + g*q**3 + 3*g*q**2 + q**5 - q**2 - 27535*q wrt q.\nAnswer: 19620*g*q**2 + 6*g + 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-3))\/(4\/18). Let b(o) = 3*o**3 + 2*o**2 - 4*o - 16. Let w(l) = l**3 + l**2 - l - 5. Let c(u) = -2*b(u) + 7*w(u). What is c(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16969 + 16963. Let v(p) = -p - 39. Calculate v(m).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154069, -1232426, -4159383, -9859234, -19256273?\nAnswer: -33274794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1660*q**3 + 1 - 4058*q**3 - 1.\nAnswer: -5718*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-1)*h)\/h*h*h)**(-2\/95)\/((h**8\/h)\/(h*h**(1\/3))))**(-3\/26))**(1\/67) assuming h is positive.\nAnswer: h**(1621\/165490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/15*1\/(2\/5). Let o(h) = h**3 - 4*h**2 + 5*h - 3. Calculate o(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(612) + -1)*6 - (1 + sqrt(612)*3))*6)**2.\nAnswer: -1200312 + 54432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2539*a - 8685 - 12798 = 1516*a for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 0*b = i - 10, -5*i = 4*b + 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 20645.68 tonnes?\nAnswer: 20645680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z - 3. Let c(k) = 3*k - k + 7 - 1 - 3*k. Let j be c(8). What is s(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11122110 (base 3) to base 6\nAnswer: -23403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 122 = -134 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -472*i + 3687 + 5753 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (78\/(-65))\/(2\/5). Let a be (-1 - -3)*(-2 + g\/(-6)). Let f(r) = r**3 - 3*r**2 + 4*r + 2. Let j(x) = x**2 - x - 1. What is a*j(k) - f(k)?\nAnswer: -k**3 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 3*h + 3. Calculate the least common multiple of n(-5) and 4\/(-11)*15565\/(-1415).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 30*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2\/5 (b) 13 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -76 (b) -11 (c) 32823\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -106\/315 and -67\/23573970.\nAnswer: 23573970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 20 + 2 = -4*a, 0 = -a - 5*k + 22 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**21*q)**(-22)*(q**0)**(-3\/41) assuming q is positive.\nAnswer: q**(-484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d = -4*c + 28, -2*c = 5*d - 23. Suppose -4*r + 40 = d*v - 0, 0 = -4*r + 4. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201322652 (base 7) to base 8.\nAnswer: 54512303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12370 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (30 - (-10 + 14))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 + 7)\/(-4) + (-13449855)\/(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10110011010101001?\nAnswer: -10110011010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -8231.57.\nAnswer: -8232.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 - 66*s**2 + 1960*s + 14172. Give r(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w = -16. Suppose s - w*d = 3 - 4, -2*s = 3*d - 9. What is the common denominator of -67\/6 and 2\/s - 28\/132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 13*x - 36. Let g be d(-5). Suppose -f + 0*f + 3 = 0, 3*q + g*f = 123. Solve 5*i - 10 = -5*s, i - 5*s + q = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/14 (b) -55 (c) 4.5 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -535*o + 613 wrt o.\nAnswer: -535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (13\/(130\/4))\/((-4)\/(-50)). Suppose 0 = d + 2*d + 4*m - 41, 2*m = -5*d + 45. Suppose d*y - 22 = 3*y - v*i, 0 = -3*y + i + 7. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1692 is divided by 1456?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 21 (b) -5 (c) 0.5 (d) -64 (e) 10 (f) 0.04\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 13*r**2 - 5*r - 11. Determine n(-4).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-6))\/(-4)*(-2 - -14). Let y be 14 + 2 - h - -6. What is the highest common factor of y and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*33\/154)\/(54\/8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*b - 2, 0 = -157*b + 161*b + 4*r - 4. Sort -5, 3, b, 13, -14 in descending order.\nAnswer: 13, 3, b, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poop when four letters picked without replacement from {o: 5, p: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4884137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 96 = -2*b. Is b a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/60)\/((-1)\/(-12)*1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1200022011122 (base 3) to base 14\nAnswer: -192d64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 23*w**2 - 129*w - 32. Let t be q(-14). Let c(k) = 15*k**2 + 4*k - k**3 - 5*k - 4*k - 4. Is c(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51\/7516 - 51727\/4284120. Find the common denominator of 71\/168 and o.\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**5 - 1734*o**4 - 259092*o**3 - 2467464*o**2 - 6816000*o - 5807232 = 0.\nAnswer: -284, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*c + k + 33, 0 = c + 4*k + 33. Let w = -32 - c. Solve 0 = -h - w + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 1, 0.1, 5, -0.0125, -0.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1281 and 64904?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -81 in -306, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.124074 - 45.911426. Let n = -46 - f. Round n to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 384 and 704.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 1) + 2\/(-2). Let k(l) = -2*l + 11. Is 11 a factor of k(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/5 - 445516*u**3\/5 - 24784709898*u**2\/5 + 2879524056536*u\/5 - 83549683031432\/5 = 0. Calculate u.\nAnswer: -111437, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119*(-2)\/(-26) - (8466\/(-442) + 19).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, v: 4}. What is prob of sequence vvv?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 2*u**2 + 2*u - 3. Suppose -p = 3*p + 12. Determine w(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.11, 0, -2\/13, -36\/25?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48*j**4 + 1320?\nAnswer: -192*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 3\/5*n**6 + 0*n**3 + 0*n**5 + 0*n**4 - 4*n + 7*n**2 + 0. What is the first derivative of c(v) wrt v?\nAnswer: 72*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 divided by 55.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 10*i + 555. Let q be p(-29). Determine c, given that -2\/3 - 8\/9*c + 2\/9*c**q + 4\/9*c**2 + 8\/9*c**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.081 - -10.081. Let q = z + -12. Which is the third biggest value? (a) -2\/11 (b) -4 (c) 1.7 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/20*6 - 21*(-15)\/225.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -81*j + 1034. What is w(13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-6*sqrt(76)*-2)\/(2*(sqrt(4) + (1*sqrt(4) + sqrt(4))*1)))**2 + -5.\nAnswer: 2731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + (-17)\/2)\/((-3)\/14) + (786 - 692)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, h: 1, k: 12}. What is prob of picking 1 y and 1 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -414346 bigger than -414340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253251150.\nAnswer: 2, 5, 641, 39103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) -7 (c) 1 (d) -285\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -127 (b) 2\/19 (c) -1\/9 (d) 2\/11 (e) 2 (f) 6\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a + 5*a - 11*a. Let m(v) be the third derivative of 0*v**3 + 0*v + 0 + 1\/8*v**4 - 21*v**2. Determine m(r(o)).\nAnswer: -39*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2510554 + 17?\nAnswer: 2510572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + k + 15. Suppose -k*j = -4*h + 52, -h - 2*j - 3*j + 36 = 0. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 - -0.3. Let y = 2.02 - 0.02. Let u = -482.3 - -482. What is the closest to y in -0.1, a, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -54027, -108034, -161909, -215586, -268999, -322082, -374769, -426994?\n\"Answer: 11*v**3 - 54084*v + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 15*g - 35 = 0. Calculate the remainder when (-12)\/28 + 465\/g is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6411709, -6411746, -6411783?\nAnswer: -6411820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5345106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 11*s - 2. Let v(c) = 342*c - 63. Let a(n) = -63*o(n) + 2*v(n). Let g(p) = 2*p. Let z(l) = -l. Let b(j) = -6*g(j) - 13*z(j). Calculate a(b(m)).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-667)\/87 + (-7)\/((-2)\/2))*33?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5745 and 12395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 - 21*w + 14. Let j be b(-11). Suppose 3*v = -m + 46, 22 = -6*v + 7*v - j*m. Calculate the remainder when v is divided by (-1)\/3 + (-38)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*l + 28, 3*w = 3*l + w - 32. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkt when three letters picked without replacement from gtzergkrgrregertrrgr?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6309018 and 8954.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 4*s + 8, -10*l + 8*l - 4*s = -22 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1490, -5963, -13418, -23855, -37274, -53675?\nAnswer: -73058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/1 - (1 - 2). What is the units digit of 0 - (-16 + x + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 10, 274 = 368*i - 366*i - 5*u. Is i bigger than 142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46408 is divided by 442?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -249 - -3a?\nAnswer: -20e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - (-135)\/15) + 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10503341 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-8))\/(3\/72). Let m be (-46 - -28)*(-136)\/q. Round m to the nearest ten.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1386 = 3*n, -8*n + 4*w + 2305 = -3*n. Suppose 3*h - 278 - n = -3*g, 20 = -4*g. Suppose 13*r = -h - 75. Which is greater: r or -26?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, -0.1, 7, 0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -2*h**7\/105 - 2*h**3\/3 + 3*h**2\/2 + 2*h. Let c(m) be the first derivative of l(m). Find the first derivative of c(n) wrt n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*g, -v = -4*g + 14 + 35. Let x = 121 + v. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.24 - 0.14. What is the second smallest value in -0.4, a, 2\/15, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 5*q - 5*s = -26, 7 = -3*q + 2*s. Let r = 1.35 - 1.63. Let k = 0.5 + -0.1. Which is the closest to q? (a) k (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 + 5154?\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18277354?\nAnswer: 2, 19, 199, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/6 + ((-62)\/(-24) - 0) and 53\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(3) + (1*sqrt(6))\/sqrt(2)) + -3 + 4 + (2 + sqrt(75)*-1)**2.\nAnswer: -28*sqrt(3) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*b + 20, 2*b - 18 = -5*o - 0*b. Suppose -4*l + 6*l = o. Solve -5*p = -n - 29 + 6, -l = -p + 2*n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8.765 and -414.05.\nAnswer: -422.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 9*i = -4*i - 14200, 0 = -3*f - 3*i + 21282. Suppose 17709 = 5*r + 2*q, 4*q = r - 3*r + f. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772045321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*f - 82347 + 18855 - 45988. Is 24 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111193*s**2 + 55594*s**2 + 645 + 55591*s**2)*(3*s**3 - s**3 - 4*s**3).\nAnswer: 16*s**5 - 1290*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1161*k*p**2 + 2*k*p + 14861*p**2 with respect to k.\nAnswer: 1161*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**38*m*m**(1\/78)\/m assuming m is positive.\nAnswer: m**(2965\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(g*g**10\/g*g*g*g*g*g*g))*g*g)\/g**(4\/3)*g*g**11*g**(-5\/7))**(1\/20) assuming g is positive.\nAnswer: g**(152\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 - 0. Let z = 1.1 - u. Let a = z + 0.7. Sort a, -3, -0.5 in increasing order.\nAnswer: -3, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(1\/(-6)*-2). Suppose -4*c + c = -n. What are the prime factors of c*(0 - -3)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 o when four letters picked without replacement from {c: 4, o: 4, e: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 258*u**2 + 996*u + 984.\nAnswer: 3*(u + 2)**2*(u + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11866286111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/18 + -7\/36. Let j = 1\/1879 - -5582\/103345. Let g = 137\/495 - j. What is the closest to -1 in g, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {p: 3, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*h - 8. Let r be -8 + 4\/1 + -6. Let p = -8 - r. Put h, 0, p in decreasing order.\nAnswer: p, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 21*p - 51 = 0. Let s be (4 - 4\/(-2))*(-17)\/p. Solve -5*l + s = -8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**2*y - 406*h*y**2 - 336*y**2 wrt h?\nAnswer: -4*h*y - 406*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w + 31*w**2 + 35*w**2 + w**4 + 29*w**3 - 73*w**3 - 28*w**3 as b*w**2 + x + d*w**4 + v*w**3 + y*w and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -8*o**2 + 3*o - 2. What is u(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -36.1. Let t be (-1 + 1 - -2)*(-14)\/(-56). What is the nearest to t in -0.1, w, -23?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27)\/(-54)*(-7)\/((-7)\/60). Let w be (42\/m)\/((-12)\/30). What is the smallest value in -6, w, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -235*t**3 - 2*t**2 - 6*t - 5. Let n be j(-1). Let z = 230 - n. Let w(p) = 2*p**2. Let f(m) = -2*m**2. Give z*f(l) - 5*w(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 62550474*n - 326046816468723.\nAnswer: -3*(n - 10425079)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-21) + 2\/3. Let h = 42 - 43.7. Let r = -0.7 - h. Sort o, 4, r in descending order.\nAnswer: 4, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u\/((u*u\/(u\/((u\/((u*(u*u**(-5\/3))\/u)\/u))\/u*u)*u)*u)\/u))))\/u**(-1\/12))**48)**(1\/32) assuming u is positive.\nAnswer: u**(-19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420271467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 4\/157, -0.3, 5, 33\/4?\nAnswer: 4\/157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -2 + 1)\/1. Suppose 116 = 4*j - g. Let z = 49 - j. Calculate the highest common factor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - (-14 - -7) - -9 - -12) + (122 - 2)\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -14 - -3) + (-30 - -104 - 38)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106492 is divided by 484.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 7*g + 3. Let v be c(-7). Suppose -t + 2*u + 6 = -1, 12 = 3*t + v*u. Find the first derivative of 8 + 2 - t*z - 2 - 3 wrt z.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*y = 1348, -57*w + 5*y + 674 = -56*w. List the prime factors of w.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 1, k: 1, d: 1}. What is prob of picking 1 q and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 5406.\nAnswer: 59466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 1\/4 (c) 0.8 (d) 2\/9 (e) -125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3275)\/(-250) + -20)\/((-3)\/(-4)).\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3\/4 + 273*b**2\/4 - 1053*b\/4 + 783\/4 = 0.\nAnswer: 1, 3, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18775074*g + 144068914 with respect to g.\nAnswer: 18775074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3377*g - 168 = 3401*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/3 + 3906864*z + 93764800\/3.\nAnswer: -(z - 11720600)*(z + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-130)\/(-25) + 3\/(-15). Solve g*f + 16 = -4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -2*i**6\/5 + i**5\/30 + i**4\/24 - 15*i**2. What is the units digit of b(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0.09, 0.2, -1\/5, 7?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 20*i + 538. Let v be d(-27). Put -1, 50, v in increasing order.\nAnswer: v, -1, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/2 - (0 + 15). Let f = z + 14. Solve -d + 5 = -c + d, f*c = -4*d + 22 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1426 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 81476 - 2*g - 81476. Let c(r) = -693*r. Determine c(z(o)).\nAnswer: 1386*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -14010*c + 406299. Give l(29).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -5*f**3\/6 + 15*f**2\/2 - 194*f + 1. Let g(i) = -6*i + 15. What is 6*g(h) - 7*t(h)?\nAnswer: -h - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/sqrt(75))\/(sqrt(576)*1).\nAnswer: sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 13 - 3. Let r(u) = m*u**2 + 103*u - 6 + 0 - 105*u. Calculate the remainder when r(5) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*i - 20*i + 8352. Suppose -7*y + 213 = 5*v - 8*y, -4*v - y = -i. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s**2 + 2*s**3 - 5*s**2)*(-2*s - 2*s + 6*s) + (-3*s**2 + 3*s**2 + s**2)*(-2 + 2 + s**2) to w*s**3 + v*s + u*s**2 + x*s**4 + z and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(10\/7)\/(c\/(c**(1\/2)*c))*(c**(-2\/25))**(-24) assuming c is positive.\nAnswer: c**(1347\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110 (base 2) in base 12?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -12. Let a(p) = p**3 + 6*p**2 + 6*p + 7. What is the units digit of a(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*f - 1303 = 0, -1660 + 27 = -5*p + 2*f. Suppose -5*c - 141 = 4*h - 1758, -c - 2*h = -p. List the prime factors of c.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 1132012331?\nAnswer: -1132012331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 + 7. Suppose 103*f = n*f + 42. What is the lowest common multiple of f and 118?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 19*w - 33. Suppose -21*p + 69 = -20*p. Let f = p + -65. What is the remainder when z(f) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1288 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 270609 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: Calculate 2\/4 + (410\/90)\/((-80)\/72).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-1) + 6\/(-10 + -8). Is k >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 23*j**2 + 133*j + 676. Let t be k(-27). Put -2, t, 3, 5, -33 in descending order.\nAnswer: 5, 3, t, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**2 - 45*f + 22. Calculate w(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, p: 1, t: 1}. Give prob of picking 3 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1799 - 1058. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -781, -1562, -2343?\n\"Answer: -781*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10491, 10489, 10487, 10485, 10483, 10481?\nAnswer: 10479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1596 and 20?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11.8, 1\/7, 0, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c**3 - 33*c**2 + 25*c + 4. Let j(h) = -4*h**3 + 17*h**2 - 13*h - 2. Let l(t) = -11*j(t) - 6*w(t). Let f be l(-6). Solve f = -u - 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 6. Let r be (2 + 4)\/(i\/(-5)). Suppose f = -5*a + 35 + 100, -3*f - a = -405. What is the highest common factor of r and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 651106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 643*u**8\/336 - u**5\/5 - u**4\/24 - 1002*u**2. What is the third derivative of m(w) wrt w?\nAnswer: 38580*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -54. What is the remainder when 93 is divided by 786\/24 - ((-15)\/f + -3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 52.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 8:06 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 100 = -4*z - 2*q, -5*z = 5*q - 130. Let j = 1237 + -1231. Suppose j*b + z = 114. Solve 4*a - a - b = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(576))\/(3*-2*sqrt(128)).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 48 = 60 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 4:36 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226, 929, 1632, 2335, 3038?\nAnswer: 3741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/1*(379320\/504 + 5\/7)?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**3*l**2 + 935*g**3 + 136*g**2*l - 2*g*l**2 wrt g?\nAnswer: -12*l**2 + 5610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*h**5*s**2 + 128*h**5 - 920*h**2*s**2 wrt h.\nAnswer: -240*h**2*s**2 + 7680*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5349311 to the power of 1\/2, to the nearest integer?\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(3*3\/36). Let s be 24\/(-15)*((-10)\/r + 0). Let b(j) = j + 6. Let f be b(4). Solve 0 = s*u - 2 - f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -297570636 divided by -4\nAnswer: 74392659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6baa (base 13) in base 14?\nAnswer: 5765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36038 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a**3 + 5*a**2 + a + 37. Is v(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 8*y**2 + 3. Let k be j(-8). Let l be 33\/21 + 3\/7. Sort k, -5, l in increasing order.\nAnswer: -5, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935708791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 963 - 868. Calculate the remainder when 566 is divided by t.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 + 19*k**2.\nAnswer: 19*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 60*b**2 - 5253*b - 2343. Calculate j(88).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 12*v - 5. Let z be d(-10). Suppose -z = -0*k - 3*k. Let l be 1*1\/1 - -2. Solve -k*h - 10 = 0, l*h + 2 = -4*i - 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 109*b**2 + 62*b + 72. Is n(-25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/20)\/(40\/(-8))*-20?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i. Suppose -8 = -4*m - 3*k, 2*k = 3*m - 0*k + 11. Let r be (-1 - 2)\/(-3) - m. Let c(x) = 2 + x - r - 2*x. Determine q(c(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 1. Let t(q) = 1. Calculate -o(x) - t(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-58 - -75 - (-9 + 15))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 14*c**2 + 18*c + 3. Let u be y(15). Solve 0 = 9*b - 25*b + u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzxxzzxzzxxxwwmxz. Give prob of picking 1 z and 1 m.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((4\/6)\/(1\/10*5)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**4\/5 + 56*c**3\/5 + 122*c**2 + 1056*c\/5 - 5967. Determine l so that h(l) = 0.\nAnswer: -33, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 12*u**2 + 23*u + 27. What is l(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22614*z - 27471 - 3648 = 23065*z for z.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6545\/12 or -544?\nAnswer: -544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*1 - (0 - 0). Suppose -m*a + 108 = -2. Suppose a = j - 2*t, 2*t = 2*j - 6*j + 48. Solve 5*z = 3*n - j, 4*n + 7 + 21 = -5*z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 - 18*d + 53. Suppose -3*o - 4*m + 30 = 5, -5*o - 3*m = -27. Let l be q(o). Solve -2*a + 3*a = 5*u - 21, 5*u + 3*a - l = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 50, 0, 3\/2, -25444?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21042 + 29922. List the prime factors of y.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-60\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.17939*0.41\nAnswer: 0.0735499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/10, -6, 0.1, 2.7, 4, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(120)\/sqrt(160)) + (-5*(0 + sqrt(720)))**2 + 5.\nAnswer: 4*sqrt(5) + 18005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 7. Let v = -4 - -6. Suppose -j*t - a = -3 - 7, -v*t = -4*a + 12. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v**2 + 764*v - 15884. Suppose b + 12 = 2*i, -5*b + b - 16 = -4*i. Let f(k) = 6*k**2 - 509*k + 10589. Let x(h) = i*f(h) + 5*t(h). Factor x(g).\nAnswer: 3*(g - 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.5 + 18. Let r = -3 - -2. Let l = -0.5 + 0. Which is the third smallest value? (a) r (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 5:17 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -4*j - 17, 67545*j - 67544*j + 3 = -2*b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 3*h**2 - 18*h.\nAnswer: 3*h*(h - 2)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*(a**4\/a)\/a)**5\/(a**(-1)\/a*(a*a\/(a*a**(-3\/11)*a)*a)\/a))**19)**2 assuming a is positive.\nAnswer: a**(9082\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 2*t - 2. Let g be f(4). Let l = g - 9. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141 + 237 + -149 - -76\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34318 and 5.\nAnswer: -171590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/10)\/(2\/10). Let g be 4 + 14\/2 + -6. Solve g*w - v = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9551.45452 to the nearest 100.\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -79\/3, 6\/13?\nAnswer: -79\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 113373 - 0.1.\nAnswer: 113372.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3053249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 6)\/((-10)\/12). Let k(j) be the first derivative of -8\/27*j**3 - 1\/3*j**4 - 8\/45*j**5 - 1\/27*j**c - 1\/9*j**2 + 0*j - 1. Find g such that k(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**8\/840 + 2*h**7\/525 - h**6\/100 - 2*h**5\/75 + h**4\/15 + 2*h**2 - 20*h. What is s in w(s) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 25*w**2. Let o(j) = 75*j - 71. Let n be o(1). Let k(y) be the third derivative of 24*y**2 + 0*y + 1\/12*y**n + 0 + 0*y**3. Calculate x(k(l)).\nAnswer: 100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22 from -573.4.\nAnswer: -551.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 712.\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u + 8. Let p(x) = 0*x**2 - 4*x**2 + 6*x**2 - 5*x**u. Let g(m) = -2*m**2. What is p(g(t))?\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 376, 1447, 3228, 5719, 8920?\n\"Answer: 355*d**2 + 6*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 139007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5967?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3839, 7675, 11497, 15299, 19075, 22819?\n\"Answer: -a**3 - a**2 + 3846*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 7:08 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6 - (8 + (-6 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 + -94.5. Let o = r + 22. Which is the second biggest value? (a) 4 (b) o (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185844214?\nAnswer: 2, 92922107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/8*-62)\/(-1). Suppose -4*a = -a - 3*y - 174, -3*a - y + 162 = 0. Let m = a + j. 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: Let d(l) be the first derivative of -1 + 1\/3*l**3 + 2*l**2 + 3*l. Suppose -4*i - 11 = -2*s - 27, 2*s = -3*i + 5. What is d(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 3, a: 2, g: 1, f: 8, x: 2}. What is prob of sequence gpf?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 3*p + 1. Calculate v(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*p**2 + 4*p**2 - 13*p**2 - p**2 - 3*p**2 + 3*p**2 + (1 + 2*p - 1)*(5*p - 4*p + p) + (1 - 1 - 2*p)*(-3*p + 2*p - p).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -798 + 798. Let l = r - 92.7. Round l to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 9. What is the units digit of (6 + 0 + -4)*z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/((-30)\/25)*-1)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 12*v**2 + 11*v + 2. Let x be (2\/(-3))\/(6\/99). Let o be j(x). Solve 0*p**2 - 1 - p**2 + o*p + 3*p**2 - 3*p**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**4\/5 - 258*j**3\/5 - 1425*j**2 - 61014*j\/5 + 13680 = 0.\nAnswer: -38, -25, -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4055848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105807 - 5*o**3 - 11304 + 16953.\nAnswer: -5*o**3 - 100158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1900) + -1 + 0 + (-2 + sqrt(1900) + 2 - sqrt(1900)) + -3)**2.\nAnswer: -3832 + 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6))\/((294\/(-28))\/(-7))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72030?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8211057 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 528749 to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 493, 1790, 4329, 8524, 14789?\nAnswer: 23538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7994 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6215 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -492 - -567. Solve 59 = -4*d + z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-9)*-8*15*4\/40. Solve -4*b = -s*h - 4, -b + 20*h + 5 = 18*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/8*-23 + (-1427)\/11416. Suppose 0 = -q - 4*q - u + 6, 5*q - u = 4. Put q, -28, b in descending order.\nAnswer: q, b, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from rrrprprrrrrrr.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 8029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 14*c**2 - 394*c - 33. Give j(30).\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2907374 litres to millilitres.\nAnswer: 290.7374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 13*a**8\/10080 + a**6\/720 - a**5\/30 - a**2. Let n(d) be the third derivative of k(d). Is n(1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613 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: Round -0.02831593 to 4 dps.\nAnswer: -0.0283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63952*c**2*q**2 - 126537*c**2 + 2*c*q with respect to q.\nAnswer: -127904*c**2*q + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.464 - -2.464. What is the nearest to -2\/3 in 2, -3.8, 9\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22087 + (-5)\/10*4. Suppose -3*z - y = -10*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3791 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.7742ug in milligrams?\nAnswer: 0.0927742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvp when four letters picked without replacement from {v: 3, p: 4, c: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/221628 and -24\/161.\nAnswer: 1551396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 10:27 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbqg when four letters picked without replacement from {g: 3, t: 7, b: 1, q: 3}?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2164787 to the power of 1\/2, to the nearest integer?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -19310 - 239*w + 19310 in the form y*w + z and give y.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 5 (c) 3 (d) 3.72 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*j - 210920, 7*j = 12*j + 5*x + 351525. What is j rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, y: 1, r: 4}. Give prob of picking 2 r.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 - 13*i**2 - 4*i. Let d be k(-6). Let j = 89 + d. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25078171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(8*y - 8*y - 5*y**2) + ((12 - 12 - 7*y)*(1 + 2 - 2) + 2*y - 4*y + 0*y)*(2*y - y - 3*y) + y**2 - y**2 - 3*y**2.\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pllbocu. What is prob of sequence ll?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1197 + -823. What is the greatest common factor of c and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f - 21?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 29*s**8\/56 - s**5\/30 - 47*s**4\/12 + 7*s**3\/3 - 115*s**2 + 3. What is the second derivative of y(b) wrt b?\nAnswer: 3480*b**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45144 from 26.23.\nAnswer: -45117.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 57\/2 of a micrometer?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1676422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - 4*h + 3*h)*(473*h**2 - 1667*h**2 - 261*h**2) as d*h**2 + u*h**3 + f*h + x and give u.\nAnswer: 4365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.18 - -0.18. Let t = -13.96 - r. Let z = 0.04 - t. Is z equal to 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000 (base 2) in base 5?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 36*l**2 + 3*l + 17. What is the hundreds digit of y(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/6*(-13090464)\/(-1390).\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460156 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 4*z**2 - 12*z - 7. Let y be w(-5). Let l(v) = 29*v**3 + 51*v**2 - y*v**3 - 36*v**2 - 8. Let i be l(-15). Sort i, -3, 3 in ascending order.\nAnswer: i, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*o**4*p - 10*o**3*p - 578*p wrt o.\nAnswer: 20*o**3*p - 30*o**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 6, 4, 37, -16, -30.\nAnswer: -30, -16, -6, 0, 4, 6, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**1)**(-5\/9)*k**(-7)\/(k\/k**8*k*k*k) assuming k is positive.\nAnswer: k**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -191, -466, -869, -1454, -2275, -3386, -4841, -6694?\n\"Answer: -9*c**3 - 10*c**2 - 182*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-68)*66*(-134)\/(-24321).\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(45)*-1 + sqrt(5)))**2 + -4 + ((sqrt(19) + -2)*-2 + sqrt(38)\/sqrt(2) + 3)**2 + -5.\nAnswer: -14*sqrt(19) + 255\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-94)\/(-752)*268\/3. Let y be 352\/36 - 4\/(-18). Which is greater: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10914835 at most as big as 10914832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1222598.\nAnswer: 2, 13, 59, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 2*m**2 + m - 3. Let j be b(-3). Suppose j*y = 7*y - 196. Let l = y + -44. Sort 3, -3, l in descending order.\nAnswer: l, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 1:27 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 34. Suppose -u - j = 2*g - 91, 0 = -4*g + 4*u + 152. Let c = 226 + -121. Calculate the greatest common divisor of g and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n**4 + 355*n**3 + 55566*n**2.\nAnswer: 96*n + 2130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 9 = -4*s - 4*k, -3*s + 9 = -5*k. Let q be (10 + -19)*1\/(-3). Suppose -10 = -q*a - 4. Solve -a*g - 4 = -s*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 18. Calculate the smallest common multiple of 8 and 2 + (-8 - w) - -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 4\/(-3))*((-6528)\/132 - -50)\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 613825 = 369621. Let x = 43446 - y. Round x to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3456\/396*605\/440.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 904*c - 872*c - 692704 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**2\/2 - 2. Let n be x(6). Let c be 2\/(1\/((-3)\/n)). Solve -y + 0*y - c = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 4) to base 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 - -29939906?\nAnswer: 29939905.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74.000053 + 74. Round q to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 265, -32 in ascending order.\nAnswer: -32, 9, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -60478, -2.\nAnswer: -60478, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f**2*k + f**2 - 19*f*k + 424 wrt k?\nAnswer: 4*f**2 - 19*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/1001*-13)\/(4100\/(-287))\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, 1\/211, 3.9?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(6)*-4)\/(2*sqrt(72))*-4.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 5. Let i be u(10). Let l = 4 - i. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 equal to 643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7c8 - 5?\nAnswer: 7c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*o = -41*o - 24. Solve -t - 16 = -d - 5*t, -5*d = o*t - 26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25948, 51890, 77824, 103750, 129668?\n\"Answer: -4*l**2 + 25954*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*t**2 + 69*t**2 - 29*t**2 - 15*t**2 + 425 to the form i + l*t**2 + j*t and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 4, x: 2}. What is prob of sequence ux?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 15, -6, 128.\nAnswer: -9, -6, 0, 15, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1845.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -942 and 268.088?\nAnswer: 1210.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 207185 and 18835?\nAnswer: 207185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35095017*k**3 + 10*k**2 - 51749*k + 4 wrt k?\nAnswer: 210570102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -6046963.\nAnswer: 14\/6046963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 14*m**3 + 3*m**2 - 17*m - 3. Let k(u) be the first derivative of -u - 7 + 1\/3*u**3 - 3*u**2 + 5\/4*u**4. Give -6*i(t) + 17*k(t).\nAnswer: t**3 - t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + 1000101010100111111001?\nAnswer: 1000101010101000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 618 = -4540. Let b = r - 19661\/10. Calculate the common denominator of b and 59\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 506*a**2*z + 1414*a**2 + a*z - 4982167*z wrt a.\nAnswer: 1012*z + 2828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 5*p**2 + 3*p + 8. Determine j(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 44 = -4*a, -5*z - 2*a + 82 = 2*a. Suppose 4*n - 2*k + 16 = 0, 5*n + 5*k = -0*n - 35. Let v = z + n. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, 0, 396, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(sqrt(468)*-1)**2 - (sqrt(468) - (sqrt(468) - (4 + sqrt(468) + (sqrt(468) + sqrt(468)*-1)**2)))).\nAnswer: -932 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n - 12. Determine t(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 86, -4688, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 11*v**3 + v**2 - 34*v + 6. Give x(-4).\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from hkhz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence reer when four letters picked without replacement from rrrereerrrrrrrerrrrr.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/6*4\/(-3) - -9. Suppose 0 = -0*n - z*n - 413. Let u = n + 68. What is the remainder when u is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - t - 3*n = 47, -3*n = 5*t - 53. Suppose -11*y + 3 = -t*y. Solve m - y*j = -8, 6*j = -3*m + 3*j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, a: 2, w: 3}. Give prob of sequence wwyy.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000116812147 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 261?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 421.8479 centuries?\nAnswer: 42184.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1652391 and 4414293.\nAnswer: 3393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -275?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -10*t + 4. Let c be d(2). Let s = c - -16. Let o(b) = b**3 + 4*b**2. Let w be o(-3). Solve r = 2*v - w, s = r - 3*v - 2*v + 24 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = -3*q - s, 3*q + 5*s + 162 = 56. Calculate the common denominator of 79\/22 and -1 - 277\/q - (0 - -3).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*(sqrt(2299) + sqrt(2299) + -2*sqrt(2299))*2 - (-1*(-2 + sqrt(2299) - sqrt(2299)) + 0))*6)**2.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 3*f - 64. Suppose -3*j + 6*j - 2*p = f, 4*p - 30 = -2*j. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 4. Let f be r(6). Let t(z) = 2*z**3 - 3*z**2 - z - 2. Let n(i) = -1 + i**3 + 0 - i**2 + i**2. Let a(m) = 3*n(m) - t(m). What is a(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from omhhbhbhbb?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001739 to five dps.\nAnswer: 0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -44300 < -44608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**3 + 2*l - 3*l**4 + 52*l**4 - 2*l**3 as v + d*l**2 + y*l**3 + n*l + j*l**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a millennium?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*m**4 - 3*m**4 + 5*m**4)*(-36 - 99 + 223)*(2 - 5 + 1).\nAnswer: -3696*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 2. Let p be a(-2). Let q be (-1)\/(p\/4 + -2). Let y(b) = b - b - q*b**2. Let v(m) = -4*m. Determine v(y(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89843?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 bigger than -3920078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 0.04, -95, -2, 2\/3, -1\/6 in decreasing order.\nAnswer: 2\/3, 1\/6, 0.04, -1\/6, -2, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 5:29 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -492341 and 0.121.\nAnswer: -59573.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 198, 5, -1309, 0 in decreasing order.\nAnswer: 198, 5, 0, -5, -1309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213933.\nAnswer: 3, 29, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b. Let o(a) = 8*a**2 + 2*a + 2. Let m(s) = 16*s**2 + 5*s + 5. Let v(w) = -2*m(w) + 5*o(w). Calculate q(v(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5679.953l to millilitres.\nAnswer: 5679953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l - 9*l + 2 - 4*l to n*l + d and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -289 - -139. Let s = m - -161. Solve s = -k - 0*c - 4*c, 5*k = 3*c - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 510754041?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.9 - -0.1. Let d = -1 + k. Let h = -2331\/17 - -137. Which is the second biggest value? (a) -2\/5 (b) d (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 4*s**2 - 16*s - 1. Is b(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3 = 2*y - 6, -4*y = -8. Suppose z = l, q - l - 42 = -4*l. Sort 0.1, 3, q.\nAnswer: 0.1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272806 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 76*a**2 - 13*a - 3. What is k(1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5000)*-2 - sqrt(5000))**2.\nAnswer: 45000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3025 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 20 = -2*j - 3*w, -3*j + 5*w = 15. What is the tens digit of -92*3*j\/60?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/8)\/((95\/20)\/(-19))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 6:42 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 148700000 rounded to the nearest 1000000?\nAnswer: 149000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35744129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5\/7 + 12*b**4\/7 + 15*b**3\/7 + 6*b**2\/7 = 0. What is b?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3.3. Suppose f = -0*f. Suppose -i - i = f. Which is the biggest value? (a) i (b) 5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 888 - 885. Suppose -6*y = -3*y + v*y. Let o = -5 + 7. Solve 4*s + o*i = -1 + 23, -5*s + 5*i + 5 = y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 1\/60*o**4 - 140*o - 7\/5*o**2 + 13\/30*o**3 - 2. Suppose l(y) = 0. What is y?\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53117 is divided by 13268.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -13345.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9946 divided by -34?\nAnswer: 4973\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 26 + 46 = -3*r, r = b - 5. Let p(s) = 4*s**2 + 9*s + 4. Let d(z) = 3*z**2 + 8*z + 3. Determine b*p(f) - 6*d(f).\nAnswer: 2*f**2 - 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 15 = 2*d. Suppose c - 3*b + 1 = 2*b, -b = 3*c + d. Which is smaller: -6 or c?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22137578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.4681385 rounded to 3 decimal places?\nAnswer: -22.468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37373790 to the nearest integer?\nAnswer: 6113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-125 - -170) + -18 - (1 - 10).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 53. Let f be d(-23). Suppose 5*m = 2*g + 2, m - f = -4*m - 5*g. Solve 2*r = -5*b - 26 + 6, -5*r - m*b = 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2591, -2575, -2515, -2387, -2167, -1831, -1355?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 160579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -17*d. Suppose 2 = -o - 1, -2*o = 2*u + 106. Let f = -47 - u. Let i(l) = f - 3 + 18*l - 16*l. Give j(i(y)).\nAnswer: -34*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0 - -5)*(0 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = w + 240. Let p(b) = 5*b + 5. Let k(o) = -2*o - 2. Let a(g) = -14*k(g) - 6*p(g). Let l be a(-7). Calculate the greatest common factor of l and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 266*c - 93*c - 87*c - 88*c. Let n(r) = -19*r + 1. Determine n(d(u)).\nAnswer: 38*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, 66, 725, 1980, 3969, 6830, 10701, 15720?\nAnswer: 22025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -120*y - 135. Let r(o) = -11*o - 12. Let k(m) = -4*n(m) + 45*r(m). Let s(j) = -23*j**2. Determine k(s(h)).\nAnswer: 345*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 6 (c) -0.1 (d) 0.1 (e) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 760?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(2 - -4))\/(7\/14). Which is bigger: z or -15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 20*z**2 - 77*z + 5. Let a be s(7). Let b = a + -430. Let k = -18 - -81. Calculate the remainder when k is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 201*w + 429*w + 4 - 203*w.\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -215*w - 865. Calculate the lowest common multiple of r(-7) and 480.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l = -3*t + 20, -3*t + 5 = 2*l. Let g(u) = -14*u + 14*u - t*u**2 - 2*u**2. Let o(a) = -2*a. What is o(g(k))?\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.5 times 2241?\nAnswer: 162472.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -639186.4 + -0.3.\nAnswer: -639186.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4584 + -2966. Round a to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*t - 41999, 3*t + l - 7896 = 23602. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11109588*x = 11109664*x - 5168 for x.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64*g*h*p**2 + g*p**3 - g*p**2 + 17*g + 24*h*p**3 wrt h.\nAnswer: 64*g*p**2 + 24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0 + 20. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 5 (b) 1247.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -2*a + 4*a + 9, w - 3 = 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2078136 + -393851. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6184.5306 - 363.4166. Let k = 5838 - b. Let v = -0.186 + k. What is v rounded to 0 decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkck when four letters picked without replacement from ckcccccccckkcc.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 3*n**2 + 2*n + 2. Let a be o(2). Suppose v = -a*v + 210. Suppose -3*l = -5*h - 6 + 182, -2*h + l + v = 0. What is h rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92 by -46.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 10 - 23 = 3*m, -4*m - 2*s - 18 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.7 - 3. What is the nearest to -1\/4 in -4, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 7) + -3 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q**2 + 6*q + 5. Let v(h) = 24*h**2 + 19*h + 17. Calculate -2*v(a) + 7*y(a).\nAnswer: 8*a**2 + 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -241*l - 2937. Does 18 divide u(-57)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - ((19 - 20) + -4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.496, 83567, 0.2?\nAnswer: -3.496","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (30\/9 - (-232)\/(-174))\/19\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v. Let y(f) = 7*f - 2. Calculate g(y(m)).\nAnswer: -14*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 24\/13 (b) -126 (c) -0.5 (d) -7\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7941.484 - -5.\nAnswer: 7946.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736163.1kg to tonnes.\nAnswer: 736.1631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -201.83 and -1.33.\nAnswer: 268.4339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**3\/7 + 23590878*h**2\/7 + 46377460400907*h\/7 = 0.\nAnswer: -3931813, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2235*s - 118*s**2 + 2 - 1808*s + 120*s**2.\nAnswer: 2*s**2 - 4043*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 1:11 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l + 22. Let y(z) = -z - 7. Let j(d) = -2*n(d) - 7*y(d). Let k be j(4). Suppose k = 2*a - 5. Solve -6 = -0*s + a*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (60\/50*5 + 1 + -8)*-2622. What is the highest common divisor of 969 and x?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 1. Let c be h(2). Let d(o) = -o**2 + 6*o - 6. Let q be d(c). Let l be 9\/46*(-244)\/(-366). Is q at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2. Let m(k) = 68*k**2 - 51*k. Let c(r) = r**2 - r. Let l(p) = -51*c(p) + m(p). Determine i(l(v)).\nAnswer: 289*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 37*q**4\/4 + 2*q**3\/3 - q**2 + q - 1. Let j = 8 + -7. Does 15 divide m(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 64. Suppose -5*f = 2*u + 71, 2*u - 28 = -3*f - 93. Let m = u + k. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4\/3 (b) -2 (c) 0.1 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 58*a + 112. Let x be w(-42). Is 1 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by (-4)\/5 - (-832)\/65.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3153 = q + 2*q. Let t = -6263\/6 - q. Calculate the common denominator of -71\/2 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-126)\/4)\/7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4524\/3480)\/(6\/(-96)))\/((-2)\/(-5)*1)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1026 and 14150896.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c + 2. Let u(q) be the third derivative of -q**4\/4 + q**3\/2 + 2*q**2. Calculate 4*j(t) - 3*u(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3829873, 3829764, 3829581, 3829324?\nAnswer: 3828993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.4 - 18. Which is the closest to 4? (a) 2\/9 (b) s (c) -8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = k - 4*b - 11, -5*b - 40 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Suppose t = 5*k - 2 + 32. Let b = k + 8. Solve 2*f = -b*f + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 6*m + 22. Let h = m - -27. Calculate the highest common divisor of h and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*l = 26*l - 1020 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8584 rounded to one dp?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -17. Let r(s) be the second derivative of 1\/14*s**4 - s + 0*s**y + 0 + 2\/21*s**3 + 1\/15*s**6 - 6\/35*s**5. Suppose r(m) = 0. Calculate m.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 c, and 1 k when four letters picked without replacement from pkhdcfp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 321*n + 161308. What is o(-272)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 18 + -10 + -20 + 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -871121 or -13\/2?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93621*y**2 + 93618*y**2 - 143*y + 312*y + 516*y + 724*y**3 wrt y?\nAnswer: 4344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2 - y + y - y - 2*y. Let o be v(-2). Suppose 3*x + z - 86 = 0, -110 = -o*x + 5*z - 4*z. Which is smaller: x or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 4*w - 5*y + 46, -w - 2*y + 18 = -7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142249 is divided by 1852.\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4545 - 529. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2149, -4328, -6541, -8806, -11141?\n\"Answer: -3*m**3 + m**2 - 2161*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*t + 72, -2*a = -6*a - 2*t + 174. Let w = 155 - a. Let x = 174 + -98. Calculate the greatest common factor of w and x.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.092 * 0.5\nAnswer: 0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10766132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -57. Does 21 divide (-2)\/(f*(-1)\/111)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52*p - 23 - 67*p + 9*p - 3*p - 2*p + 3*p + p - p - 2*p + 1 - 1 - p + (5*p - 3*p - 3*p)*(-3 + 5 - 1) + 4 + p - 4.\nAnswer: -11*p - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -508979.8 and -10906.63.\nAnswer: -519886.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -0.3. Let u = 461 - 466. Sort u, 0.3, t in decreasing order.\nAnswer: 0.3, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvppvzwvwlww. Give prob of sequence vpw.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2107*u - 155*u + 352*u + (-1 + 1 - 1)*(-2*u + 1 - 1).\nAnswer: 2306*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135106 is divided by 547?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1.7, 1\/6, 132109 in increasing order.\nAnswer: -1.7, 1\/6, 1\/4, 132109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*j*s*z - 11*j*s + 29*j*z - 4*j + 3*s*z + 2*s - 5*z - 15 with respect to z.\nAnswer: 4*j*s + 29*j + 3*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26612, 26611, 26610, 26609?\nAnswer: 26608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (137 - 133)*(-1)\/(-38)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10117*v + 115320 + 94927 = -265252 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by (36\/(-72))\/((-1)\/2) - -35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*o**5 - 1126156*o**4 + 341019875*o**2?\nAnswer: -1200*o**2 - 27027744*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 35*x + 6. Let b(w) = -5*w**2 + 106*w - 17. Let g(q) = -3*b(q) - 8*v(q). List the prime factors of g(-27).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 272\/60) + 8\/(-240)*4. What is the closest to -6 in 0.07, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 88*o**3 - 1015*o**2 + 1015*o**2 + 2*o**3 + o**2 - o**2 + 6*o**3 - 2*o**3 - 2*o**3 + (0*o**3 - 4*o**3 + 2*o**3)*(1 + 5 - 4) - 2 + 2 - 2*o**3.\nAnswer: 86*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2. What is c(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 401591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22, 118, 296, 556, 898, 1322, 1828?\n\"Answer: 41*s**2 - 27*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**5))**(7\/6)*(t\/(t\/t**1)*t)**(3\/25) assuming t is positive.\nAnswer: t**(-839\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 289432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 + (-1 - 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16997 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k - 16*k - 7*k + 3. Calculate o(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 24192*j**2 - 28*j + 40. Let t(p) = -p**3 + 20*p**2 - 38*p + 40. Let x be t(18). Let u be n(x). What is u rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**3*n**2*r + 35116*g**3*r - 10*g**2*n**2 + 440*g**2*r + 8*g*n*r wrt g?\nAnswer: 24*n**2*r + 210696*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000101 + -1001001?\nAnswer: 1111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) -4 (c) 1\/6 (d) -0.5 (e) -1 (f) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from susuuuvsszvvuuvs. What is prob of sequence vsss?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4757715 - -5?\nAnswer: -4757710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 131.\nAnswer: 13.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, z: 1, h: 1}. What is prob of picking 1 z and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 8. Let m be (5\/s)\/((-4)\/(-10)). Let a = 134\/9 + -688\/45. What is the closest to m in 3\/5, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -249615 greater than -249610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 14) + 6 + -4 - (-9 + -18).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661*(4 - (-55)\/(-15)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 4*w + 1. Let k be r(-2). Let p be ((-94)\/(-4))\/(k\/12). What is the common denominator of 19\/14 and 6\/(-8)*p\/(-18)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4*(1 + 410\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.421025186 and 4?\nAnswer: -1.684100744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 84 = -4*d, -5*d + 85 = -p - 20. What is the remainder when d is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -9*n + 5. Let f be -71 - (n + (-1 - 2\/(-2))). Let s = -68 - f. What is the nearest to s in -1\/8, -1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s - 3*z - 12, 0 = -5*z - 25. Calculate the smallest common multiple of 8 and 4 + (-3)\/s*0.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 19 = -4*t. Let z be 2 + 1 - (-2 - 0). Let u(y) = -y + 8. Let q be u(7). What is the biggest value in q, t, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 100001111001110?\nAnswer: 100001111010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 129, 128, 127, 126?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -948457 and -948445 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -11. Suppose 4*y + f = 0, -y + 4*y + 93 = 2*u. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32660.6 rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-225)*60\/(-36))\/((-8)\/((-120)\/(-25)))\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*q - 2*v, -6*q + 4*q - 13 = v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.153123 + -334.49.\nAnswer: -334.336877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2796, 6678, 10562, 14448, 18336, 22226?\nAnswer: 26118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose -r*l - i = -0*i, 4*i + 16 = 0. Let f(a) = -5*a + 1. Let c(d) = 2*d. Let g(v) = -7*c(v) - 3*f(v). What is g(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42423 + 42422.67531. Round x to 2 dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025518 times -0.1?\nAnswer: 0.0025518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 3*f - 4*f - 16*f**2. Let z = -61 - -63. Let u(g) = -9*g**2 - 3*g**z + 14*g**2 - 3*g**2. Determine u(n(s)).\nAnswer: -256*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*b + 39 = 0, 2*v + 0*b = -5*b + 26. Let t = 19 - v. Solve 2*q - 5 = w - 2, -t = 3*w - 5*q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53116673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1105 and -0.54.\nAnswer: -0.6505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 3 (c) 0.026 (d) -1\/10 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**4\/4 - 14*p**2 - 313*p + 211. What is the first derivative of a(l) wrt l?\nAnswer: 3*l**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvqdcqqqk. What is prob of sequence dc?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y + 6 = -g, -36 = -4*g + 4*y. Solve u = -g + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -37659 = -37625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 713783.39376 - 713733. Let j = 50.4 - g. Round j to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 10:00 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 2*r**2 - r + 119. Let z be l(0). Suppose 2*h - 149 + z = 0. Solve 3*q + h = 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + a - 2*a + 143*z + 1144, -4*a - 1517*z = -1512*z + 40 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/17645 and -72\/35.\nAnswer: 123515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 3*n - 3. Let l(a) = 4*a**2 + 8*a - 8. Let q(w) = -3*l(w) + 8*u(w). Let h(g) = 4*g**2 - 6*g**2 + 3*g**2. Give h(q(t)).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 3*j - 3*j)*(669*j**3 - 668*j**3 - 7*j + j).\nAnswer: -4*j**4 + 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 35, 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**4 + f**3 + f**2 + 3. Let i(u) = 1478*u**4 + 6*u**3 + 6*u**2 + 1277. Let c(l) = -i(l) + 6*j(l). Differentiate c(p) wrt p.\nAnswer: -5864*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 16 = 17*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 55?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1762*y + 1865*y + 1656*y - 100178 = -2094*y for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from tcqvrrgt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 44 = -12*v. Suppose -3*k = -7*k + 408. Let n = k + -47. What is the highest common divisor of v and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*m - 10 = -g, m = 1. Solve -2 = g*r - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3953 and 6680972.\nAnswer: 394177348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*a + 40, -5*r = 2*a - 4 - 1. Find the second derivative of 31*c - 63*c**5 + 4649*c**r - 4647*c**3 + 15*c**5 wrt c.\nAnswer: -960*c**3 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88126703 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 31 - 2 = 0. Suppose -6*z - 627 = -3*y - 11*z, z = -v. List the prime factors of y.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1499546*z - 10496823. Give n(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*y - 2*h = 56*y + 708, -4*y + 2865 = 3*h. Calculate the highest common divisor of 42 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4 - 13*d**3 + 15*d**2 + 13*d - 14 = 0. Calculate d.\nAnswer: -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011000 (base 2) in base 11?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/((-4)\/(-38)) + -1 + 0 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-95)\/(-38))\/((-10)\/32).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**3 + 2*z**2 - z + 3. Let y be x(3). Suppose -41 = 4*h - y. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56 - -17094b?\nAnswer: 1709a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l + 2. Let v be (-2)\/(1\/1*-1). Let a be s(v). Calculate the highest common factor of 120 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**3\/3 + 56*z**2\/3 + 392*z\/3 = 0?\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.768489 months in millennia?\nAnswer: 0.00206404075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007742233 rounded to five dps?\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 541 = 29*a - 532. Calculate the remainder when a is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.051 + 127.949. Let t = 98 - q. Is t smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 107758069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 42*f**2. Let k(r) = 11422002*r**2. Determine b(k(g)).\nAnswer: 5479409446896168*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*m = 3*c - 102, -5*c + 30 = m. Suppose 24 = -0*a + 2*a. What is the remainder when m is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 1624*p - 3257*p = -1628*p + 20, 2*z - 45*p = -10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78\/361 - 49\/1444. Which is smaller: o or 15823?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 0*z = -2*s - 2, 2*s = -2*z + 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3066.04593 less than -34228?\nAnswer: -37294.04593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 2\/4135823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 3641*t - 3641*t - 49 as q*t**2 + f + z*t and give f.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -1, -93, -0.1, 17, 704, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02002 to four decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 4:50 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 378\/(-81)*72\/(-124). Is i > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358688?\nAnswer: 2, 11, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 198 - 96. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -x - 16, -x + 3*c + 13 = 26 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/6)\/(3\/(9\/(-6)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + (-1)\/((-3)\/(-12)). Suppose 5*c - 17 = s*g, 5*c - 2*g = 8 + 5. Let p be c\/(-2) - (-20)\/30. What is the smallest value in 0, p, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1, 1321, -3 in descending order.\nAnswer: 1321, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 207 in 0.148, 0.14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(75))*-6 + -5 + -4 + ((sqrt(75)*2 + sqrt(75) - sqrt(75))*1 - (1 + sqrt(75))**2*1) + -5.\nAnswer: -84 - 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - 6. Let d(a) = -5*a**2 - 13. Let f(m) = -6*d(m) + 13*h(m). Let y(k) = -3*k**2. What is f(y(o))?\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 - (-2244)\/(-252) - (-1264)\/(-10626). Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 + 115*s - 1143. What is p(-46)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136.1 - -19.9. Let v = c + -161. Sort -43, 3, v in decreasing order.\nAnswer: 3, v, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*w + w = 1410, 3519 = 5*z - w. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60\/77? (a) -1\/4 (b) 1 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 49*p - 10203 = -46*p, 0 = -2*p - 10. Is 48 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*t + 2*t. Is t not equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11877863 > -11877862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p + 25*p - 52*p + 34*p.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(1452)*-4 + sqrt(12) - sqrt(12))*1*-5.\nAnswer: 5*sqrt(11)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -3*j - 16. Solve -1 = p - j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 813220 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 9. Determine d(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 8. Let g(l) = l - 9. What is -6*g(w) + 7*x(w)?\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*t**6 + c**3 + c**2*t**2 - 5*c**2 + 158*t**6 wrt t?\nAnswer: 120*c**3*t**3 + 18960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004911817207 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3376 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 l = 87720.151 - 87879. Let x = l + 159. Which is greater: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7480 (base 9) to base 13\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**5 + f**5 + f**5)*(77 + 94 + 267 + 28).\nAnswer: -932*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 318*m - 30. Let o(r) = -5*r**3 + r**2 - 1602*r - 148. Let p(v) = 2*o(v) - 11*u(v). Differentiate p(d) wrt d.\nAnswer: 3*d**2 + 4*d + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Suppose 0 = 6*i - v*i - 78. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 83093.43g?\nAnswer: 83093430000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 85121338 divided by -1979566\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2651 - 183*u**4 - 2651 + (-2 + 3*u + 2)*(-u**3 - 8*u**3 + 41*u**3).\nAnswer: -87*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220117 is divided by 12227.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2)*(y**2 - 2*y**2 + 0*y**2) + (3 + 0 - 4)*(4*y**2 - 2*y**2 + y**2))*(4*y + 14 - 14).\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-111)\/51 - -2))\/(8897\/26691)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 90, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 16, 13, 2 in decreasing order.\nAnswer: 16, 13, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6203 less than 9064.4967?\nAnswer: 9063.8764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -4, -1, -15, -69.\nAnswer: -69, -15, -5, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 665698493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (60\/(-25))\/((162\/60)\/(-9)). Let n(l) = -3*l + 7. Give n(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5060 (base 12) to base 6\nAnswer: -104200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190657*b = -5*d - 190653*b + 68, -4*b - 464 = -104*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4566.9238 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 12 = 3*r + 8 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 36, 40, 36?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -503*2*(4\/(-8) - -1). Let y = 507 + x. Solve -2*o - 18 = 4*a - 4*o, -20 = -y*o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 69 = -4*u. Suppose c + 16 = 3*o, c = -c - 5*o + u. Let a be (-4)\/3*(-2)\/8. Is c > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 11)*(-5)\/(-100)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 + 80*z**3 + 452*z**3 + 0*z**2 - 4*z**2 - 553*z**3.\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.787 and -691.8.\nAnswer: 12996.8466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 25. Let r = d + 15. Suppose r = -4*t - q + 80, -4*t + 5*q + 0*q = -56. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -280*n + 8 - n**2 + 276*n - 3. Let u be l(-3). Solve 4*o + 1 = -5*z, 3*o + u = o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 34101743 - 319128077. Let q = 1439097968738\/5049 + p. Let d = q - 10\/459. What is the common denominator of 40\/7 and d?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1*2\/24). Let q(j) = -j**2 - 7*j + 56. Let o be q(-11). Suppose o*r = 17*r - 300. What is the highest common divisor of r and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*g - 9*g - 75 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100373627 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 214997 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.48, 71, 0.2, 5, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-296)\/76 - (-6)\/(-3)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5336368 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence maa when three letters picked without replacement from zaxxeazmxx.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (sqrt(3)*-2 - sqrt(3)) + 1.\nAnswer: -3*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/((-55)\/(-66)*16\/(-200))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/3)\/((-1)\/4*56\/(-1881978)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 608 - 608.2. Is 21 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = t - 4*c - 91, -c + 392 = 5*t. Let p = 99 - t. Suppose -2*a - 2*r + 82 = -28, 2*r - 10 = 0. What is the greatest common divisor of p and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o*o**(1\/13)\/o)\/o))\/o)**(3\/5))**(2\/19) assuming o is positive.\nAnswer: o**(72\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(2)*3 + sqrt(2) + sqrt(18)\/(sqrt(9)*2) + sqrt(2) + (sqrt(2) - (-4 + sqrt(2) + -1)))**2 + 0.\nAnswer: -3*sqrt(2) + 19\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-1)\/((-3)\/(-3)). Suppose 14*v - 11*v = 0. Suppose 5 = -5*y - v*y. Put y, -2, u in ascending order.\nAnswer: -2, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 481.\nAnswer: 3367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4552322, 18209289, 40970900, 72837155, 113808054, 163883597, 223063784?\n\"Answer: 4552322*b**2 + b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -352 and 1008282063.\nAnswer: 1008281711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 514154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*(sqrt(121) - sqrt(121)*2 - sqrt(121) - sqrt(121)))\/(4*(sqrt(11) + sqrt(33)\/(sqrt(6)\/sqrt(2)))) + 4.\nAnswer: -27*sqrt(11)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-17)\/(l**(-17)\/l) assuming l is positive.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7424 - 7424 - m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2028\/875 + 4\/125. What is the second biggest value in g, 6\/5, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 862 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) 3 (c) -1\/2912 (d) 36 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 9*o**2 + 178*o - 77. Determine v(-20).\nAnswer: 763","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - 34) + (1 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - h + 0 + 3 - 2*h - 3 - 4 + 4 - h + (h + 0*h - 3*h)*(-5 + 3 + 4) + 64*h - 55*h + 101*h - 3*h + 2*h - h.\nAnswer: 100*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttca. What is prob of sequence act?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/19656 and 97\/11232.\nAnswer: 78624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57202 + 1064?\nAnswer: 58266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1053, 4258, 9599, 17076?\nAnswer: 26689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 120076.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 125707000 rounded to the nearest one million?\nAnswer: 126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15787 divided by 4.\nAnswer: 15787\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 174? (a) 4 (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 3*z**2 - 4*z + 1. Let i be d(-4). What is the units digit of 8 - (0 + i)*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 9:18 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13959\/5 in -2\/5, -0.21, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 7*p + 96. Let d be 5*-1 - (-26 + 8). Let y be w(d). Solve 0 = 3*v - 3*i + y, 5*i = i + 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l*w**3 - l*w**2 + l*w + 66*w**3 - 22*w**2 - 2*w + 1946303 wrt w.\nAnswer: 24*l*w - 2*l + 396*w - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 28*z**3 - 24*z**2 - 49*z - 416. Let v(i) = 6*i**3 - 5*i**2 - 10*i - 83. Determine -4*p(n) + 19*v(n).\nAnswer: 2*n**3 + n**2 + 6*n + 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 3 + 0 - ((8 - 4) + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**6\/120 + 13*r**5\/20 + 23*r**4\/4 - 35*r**3\/6 - 2*r**2 - 5. Is y(32) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -56023910 and -0.8?\nAnswer: 56023909.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 3 (c) -1\/160 (d) -3\/5 (e) -1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/29)\/k**(-5))\/(k**5*k*k\/(k\/k**(-1\/8))))\/((k**0)**(-1\/9)*(k\/k**(-1))**39) assuming k is positive.\nAnswer: k**(-18315\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-41) - 21012\/257603.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54 and -232.\nAnswer: -12528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2. Let w(o) = -8*o**2 + 4. Determine w(h(x)).\nAnswer: -32*x**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 493901252*p**3 - 19*p - 1209833 wrt p?\nAnswer: 2963407512*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1048 and 4.\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5426 + 3*u - 799 - 2*u - 1678)*(-8*u + 8*u - 12*u).\nAnswer: -12*u**2 - 35388*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*t + 131*t - 24320 = 0. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21e (base 16) to base 6.\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -1 (c) -3\/4 (d) -1\/12 (e) 916\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.8787998 to 2 decimal places.\nAnswer: 16.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27 + -6?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 2:40 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1319190?\nAnswer: 2, 3, 5, 43973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3382 and 23.9827.\nAnswer: -3358.0173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10831, -21650, -32469?\nAnswer: -43288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730*c + u + 2919 = 0, 4821*c - 20 = 4817*c - 4*u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5, 0 = s + 2*s - z - 29. Find the third derivative of 6*a**2 - 2*a**2 - 14*a**4 + s*a**4 wrt a.\nAnswer: -96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1818648 divided by -227331?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 24428.\nAnswer: 3\/24428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 363 + 143?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + l - 0*l + 77, 28 = k - 2*l. Let z be 180\/(-24)*3*-2. Let h = z + 7. What is the remainder when h is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 25781 and 25780 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + (sqrt(704) + 0)**2 + sqrt(704) + -1.\nAnswer: 16*sqrt(11) + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2466 and 822.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 323788561464690 - 323788390775818.4999929. Let d = i - 170688864. Let k = 7.5 - d. What is k rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 times 0.145?\nAnswer: -0.0348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30185 (base 12) to base 4\nAnswer: 33033311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o = -q + 9664, 2*o + 3*q = -4818. Let u = -60327\/25 - o. Calculate the common denominator of 23\/20 and u.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - sqrt(60)\/(sqrt(60)\/sqrt(10)))\/(sqrt(5) - -1*sqrt(25)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 196607568?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 4, 2, 1, -1, 0.4, 0.0479973?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4 + 1 + 1 - 6*p. Suppose -j + 392 = 2*t + 383, -t = -j. What is f(t)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 605 - 611. Let z(r) = -259*r**2 - 119*r - 119. Let g(q) = -13*q**2 - 6*q - 6. Give j*z(c) + 119*g(c).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 60985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 30 = 34. Is 32 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/8, 1, -0.05, 5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17784)\/(-1248))\/(-12*-3*30\/576)?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 8:51 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 133*x + 1433. What is the remainder when g(-4) is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxfnmfmg. What is prob of sequence ml?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + ((-10)\/(-9))\/((-614)\/(-30393)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w + 429 = 1397. What is the highest common factor of w and 1166?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-13)\/((-91)\/(-21)). Suppose -2*i - 67 = -5*l, -i + 2*l = -0*i + 32. Calculate the least common multiple of (39\/i)\/(p\/14) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*b + 66 = 0. Let q = b - -39. Suppose 0 = 4*g - q - 2. Solve 3*d = -r + 10, -3*d = 3*r - g - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165 - -219.\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v**3 - 5*v**2 + 5*v - 1. Let p = -198 - -194. Let w(x) = -6*x**3 - 4*x**2 + 4*x - 1. Calculate p*u(n) + 5*w(n).\nAnswer: -2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5325 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3639 - -12016. List the prime factors of l.\nAnswer: 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-14) + (-4)\/(-8)*160\/(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(19)*-3*1)*-2.\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 12. Let r be (0 + -46)*8\/(-16). Suppose 0 = 4*q + 4, -5*q + 6 - r = -4*c. Solve -9 = c*z - t*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 597ac0 - 1c?\nAnswer: 597aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 256673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7*i + 79*i + 1.\nAnswer: 86*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 + 2*i**3 - 2*i**3 + (-4*i**3 + 2*i**3 + 0*i**3)*(0 + 0 - i) + 216*i**4 + 15*i**4 + 602*i**4 + 0*i + i**4 + 0*i.\nAnswer: 837*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 1:04 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -14\/5*b**5 + 0*b**3 + 14 + 0*b + 8*b**2 + 0*b**4. What is the second derivative of v(s) wrt s?\nAnswer: -168*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-127)\/25 + (-14)\/(-175). Let o(w) = -7*w**3 - 10*w**2 - 6*w + 38. What are the prime factors of o(c)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 74*q + 1355. Give w(33).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 192, 295, 398, 501, 604?\n\"Answer: 103*q + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389196*w**2 + 3 - 3 + 390131*w**2.\nAnswer: 935*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61200 = 5*u - 15*u. What is u rounded to the nearest one hundred?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 5021.508?\nAnswer: -20086.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-2)\/(-15) - (2765\/(-75) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7360.632 grams in milligrams?\nAnswer: 7360632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91 and 56?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**4\/24 - 7*x**3\/3 + 6*x**2. Let q be o(14). Suppose q = c - 3*c + 26. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3611 + 231123\/64. Find the common denominator of -43\/18 and l.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1339926?\nAnswer: 2, 3, 7, 61, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5334*a*p**4 + a*p + 4*a + 22670*p**4 + 3*p**2 - 83071*p - 4 wrt p?\nAnswer: 128016*a*p + 544080*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -888 - -892. Let c = 3 - 3. Suppose 2*o + c - 2 = 0. What is the second biggest value in m, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.46? (a) -0.1 (b) -1 (c) -2\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3117 - -4?\nAnswer: -3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.3 + -1.7. Let k = -27 + 14. Let o = k + 18. Which is the biggest value? (a) 0.3 (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -135 - -132. Which is the nearest to -3? (a) -1 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-128)*(-4)\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 4 - (-2)\/(-2). Let z be 2\/x + 42\/12. Suppose 0*o + 5 = -2*o + 5*m, 5*o + 2 = 2*m. Solve o*n - z*n = -6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 118 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 0 + u + 0*u - 1. Let j = 6 - 9. Calculate g(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41.52 + 45. Let y = 0.48 - o. What is the second biggest value in y, 1, 2\/5, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f. Let g be w(1). Let r be 9 + (-1 - (-2)\/(-1)). Solve -4*a = -g*s + 4, 4*s - s + 4*a = r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 830145 and 12452175?\nAnswer: 12452175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159515?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven fifths of a centimeter?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uaau when four letters picked without replacement from apapapapapauaua?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1431880.\nAnswer: 2, 5, 35797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-570)*(-1)\/1*-3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -443 - -1183. Suppose 700 = 9*z - m. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45790?\nAnswer: 2, 5, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 2:48 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.104888ng to grams.\nAnswer: 0.000000007104888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w**2 + w - 4. Let g be h(2). Let i = -17 + g. Find the second derivative of 14*t - 5*t**2 + 5*t**2 + 10*t**3 - i*t wrt t.\nAnswer: 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 11:32 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 16*v**2 - 21*v - 203. Let c be u(-15). Suppose 4*n - 5*g = 470, -2*g + 197 = -4*n + 661. Let r = n + c. Solve 0 = -b - r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 208929476*b**2 - 371155922*b wrt b.\nAnswer: 417858952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 3*v**5\/20 + v**4\/12 - v**3\/2 + v**2\/2 - 3*v. Let p = -2 + 4. Is o(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1053*z + 78 = -1027*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, -0.5, 0, 405, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j**3 - 23 + 42 + 85*j**2 - 20 + 30*j**2 + 2*j + 607*j**4 + 2*j**3 wrt j?\nAnswer: 14568*j + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 115 + -10?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52426.9 - 55386. Round s to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*m - 4*n, 4*n + 26 - 34 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) -0.05 (c) -2\/9 (d) 13 (e) -114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - 11000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2605*v + 22*v**3 - 24*v**3 - 332*v.\nAnswer: -2*v**3 + 2273*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4501 is divided by 1263?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**6\/5 - z**5\/30 + z**3\/6 - 3*z**2 + 212*z. Calculate r(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + -1*sqrt(14)\/sqrt(7)).\nAnswer: -20 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 17. Suppose -4*d + 70 = -9*d. Let f be h(d). Suppose 0 = o, -3*l - l + 20 = -f*o. What is the nearest to 0 in -0.4, 1\/3, l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5634 and 7164.\nAnswer: 2242332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 divided by 1?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a + 60. Let s be 2\/a*(-1)\/((-9)\/(-12)). What is the second biggest value in 0.5, s, -26?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**3 + 8496*j**2 - 59343*j + 50850 = 0.\nAnswer: 1, 6, 2825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*t*u**3 - 44*t*u**2 - t*u - 36*t + 2*u**3 + u**2 - 3 wrt u.\nAnswer: 54*t*u - 88*t + 12*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*i**2 + 11*i**2 - 28*i**2 + (-4*i**2 - 15*i**2 - 18*i**2)*(-4 + 1 + 1).\nAnswer: 42*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.69*19.01\nAnswer: -13.1169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 smaller than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 144*h**2 - 17*h - 87. Let v be i(-6). Suppose -4*a + v = -a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2977115?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -7*f + 52, -2*z - 18*f = -19*f - 29 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62154899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, 2, -3, 7\/10, 22.\nAnswer: -3, -0.2, 7\/10, 1, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 18*f**2 - 17*f - 13. Let j be q(19). What is u in j*u**3 + 28*u**2 - 5*u**4 + 38*u**2 + 90 - 35*u - 71*u**2 - 70*u = 0?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l - 32. Let k be d(6). Suppose -5*w - 57 = 2*o + 36, -w - 25 = 2*o. Let v = w - k. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - w**2 - 2*w - 1. Let k be b(3). Suppose 3*d + 1 = -c + d, c - 4*d - k = 0. Suppose -38 = -m + f, -c*f - 10 = -1. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 6 = -4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0 + 10 = 0, 3*d - 637 = -5*s. What are the prime factors of d?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015151 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = 2*w. Solve 4*l + 5*v = -15, -w*l - 4*v - 12 = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 + 4*s**2 - 3*s**2 - 2*s**2 - 61.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 351567 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - h**2 + 2*h - 3. Let a be f(2). Suppose 4*z = 10*z - a*z. Solve 3*y = 3*j + y - 7, z = -4*j - 4*y - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 5*p - 96. Let o = -34 - p. Suppose 2*m = -m + 60. What is the smallest common multiple of o and m?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*u - 7 = 0, 0 = -3*h - 2*u + u + 19. Suppose 2*b = 1 + h. Suppose -330 = -4*w + i + i, -w + b*i = -90. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4115660?\nAnswer: 2, 5, 205783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by (-938)\/(-10)*15\/36 + 7\/(-84).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3422300 - 103404?\nAnswer: -4031204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-800 + 922 + 994)*(7*h + 1 - 1)*(2*h + 0*h - h).\nAnswer: 7812*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3219 = m + 106391, 34394 = g - m. Let b(z) = 11*z**2 - g + 34389. Let n(q) = 5*q. Determine n(b(o)).\nAnswer: 55*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/74, -0.1, 5, -5\/7, 1\/7, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**16\/x)\/x)**(-22\/7) assuming x is positive.\nAnswer: x**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q - 48 = 0. Let z be (-22)\/6 + (-8)\/q. Is (21\/(-12) - z)*8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 1:17 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(3)*-3)\/(1*sqrt(144))*4.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-12)\/(-8)*8\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3597025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 14 = -f - 2, -5*f - 4*x = 50. Let b(c) = 8*c + 8. Let o(v) = -8*v - 7. What is f*b(t) - 7*o(t)?\nAnswer: 8*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, z: 1, y: 2, x: 10}. What is prob of picking 2 p?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4289 - -4305.994. Let w = y + -17. Round w to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 29*l - 16*l + 33526. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398509 is divided by 797.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - t = 14*d + 5483, -d = 2*t - 2734. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 2\/5, 11, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by -2?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/132 and 41\/19432512.\nAnswer: 19432512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5041*d**3 + 2*d**2 + 4*d - 2. Is h(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 205994971 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/53464 and 107\/3912.\nAnswer: 160392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18581976 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16834 divided by -5.\nAnswer: 16834\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 15 = -2*d - 5*m, -5*m - 25 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31722, -63447, -95172, -126897?\nAnswer: -158622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31501 (base 7) to base 5.\nAnswer: -222132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k + 17. Let u be 43\/(-5) + (-12)\/(-20). Let h be d(u). Let v(a) = 2*a**2 + 7*a - 3. What are the prime factors of v(h)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.34 - 0.34. Sort u, 0.5, -4 in descending order.\nAnswer: 0.5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -7*l**5\/20 - l**4\/12 - 5*l**3\/3 - 6*l**2 + 5*l. Let h be c(-9). Round h to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - -29 - (2 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.99, 1\/5, -0.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + -21?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 3*q**8\/448 + q**7\/70 + q**6\/160 + 13*q**2 - 1. Solve w(o) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2407, 4800, 7193, 9586, 11979?\nAnswer: 14372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -558*l = -546*l - 60 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8175633\/10 or -817564?\nAnswer: -817564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3595*w - 3603*w = 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*j + 2*c + 16, -3*c + 4 = 5*j. List the prime factors of j\/(-1 - 1)*(-56 - -50).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**3 + n**2 - 2*n + 1. What is the units digit of f(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f + 28. Let k be d(-8). Suppose -k*g = 21 - 25. Let m(o) = -1 + 560*o - 559*o + g. Let z(l) = 28*l. Calculate m(z(h)).\nAnswer: 28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*z = 59, -12*q + 10*q - 4*z = -154. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44817 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1319 is divided by 1290?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + 573\/9 + (-3)\/(-9) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/148 and 31\/7.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 36*w**2 - 4)*(2*w + 4 + 2 - 4)*(-2 - w**2 + 2).\nAnswer: 72*w**5 + 72*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + ((-5*((sqrt(720) - (1 + sqrt(720) + sqrt(720))) + sqrt(720)))**2 + 0)*1.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8079?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 = -25. Let j = y - 4. Let n be (27 - 30) + 16\/2. Solve -a = -n, 0 = l + 4*a - 24 + j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - 2*k + 2*k)*(-7 + 20 - 2).\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11134 (base 5) to base 13\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 96 = -5*t, 2*t - l - 70 = -28. Suppose 0 = g + g - 32. Calculate the lowest common multiple of g and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11960\/8 + 16\/2?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 + 464741090*j**3 - 1394223240*j**2 + 1394223230*j - 464741075.\nAnswer: -5*(j - 92948215)*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1075, -1355, -1891, -2737, -3947, -5575?\nAnswer: -7675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08813914 to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -c02 (base 14) to base 15\nAnswer: -a6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42322 (base 9) in base 11?\nAnswer: 1a013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and 53.4.\nAnswer: -1174.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -c + 47, -5*z + 73 = 5*c + 18. Suppose -z*g + 6*g + 99 = 0. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/1521491?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35129 = -4*z + 5*c + 35148, 3*z + 10*c = -82 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 839918*c - 5879432. Give b(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 2*t**2 + 6*t**2. Let h(i) = -i**2. Give j(h(k)).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.765004 millilitres in litres?\nAnswer: 0.002765004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62887604 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 18. Is -0.1 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -264*z + 99*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 40*r - 130 = 0. Let o(t) = -6*t**2 + 233*t - 2161. Let s(m) = 3*m**2 - 116*m + 1081. Let z(a) = r*s(a) + 2*o(a). Factor z(d).\nAnswer: 3*(d - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66\/54 - (-14)\/(-63). Suppose 15 = -2*r + 69. What is the highest common divisor of r and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a74c + -4c?\nAnswer: 1a700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160\/(-36)*(-7)\/((-28)\/4)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 0*x**2 - 4*x**4 + (2 - 3 - 1)*(-5*x**2 + 2*x**2 - 3*x**2 + x**4).\nAnswer: -6*x**4 + 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - 1*sqrt(204))*2 + 2*sqrt(204)*-1)\/(sqrt(192)*-1*4).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 - 4*r + 5. Let z(q) = 2*q**2 + 2*q - 3. What is 4*j(f) + 7*z(f)?\nAnswer: 2*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8756.7 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004847574 take away 0.16?\nAnswer: -0.164847574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22592910*d - 21422606.\nAnswer: -22592910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102, -268, -590, -1146, -2014, -3272?\n\"Answer: -13*c**3 - 75*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.6972 rounded to one dp?\nAnswer: 116.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8024*q - 8027*q - 3*w + 24 = 0, -5*w + 32 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**4\/12 - 7*d**3\/3 - 21*d**2\/2 + 321*d. Calculate t(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/(-12))\/(-5))\/((-7)\/42 + 7169\/41808).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 328, 2620, 8846, 20974, 40972, 70808, 112450, 167866?\nAnswer: 239024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/13)*s**14*s)\/(s\/((s*s\/(s\/s**(3\/2)))\/s)*s**(-13)) assuming s is positive.\nAnswer: s**(733\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 40. Let q be g(-21). Suppose -3*u + f + 3 = 0, -f + q = 5. Let y(v) be the third derivative of v**4\/24 - 2*v**3\/3 + 3*v**2. Give y(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 380.378 to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - -2*(-1 + 2). Suppose -3*l - 5*i = -66, 0*l - 22 = -l + i. What is the second derivative of l - 22 - k*m + 4*m**3 wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08024 to 3 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - -2*2\/2. Let i be (-1 - -63)\/(-1 - -6). Let w = 424\/35 - i. Which is bigger: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 115, 82, 15, -98, -269, -510?\nAnswer: -833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 64*i**2 - 28*i + 10. What are the prime factors of u(-5)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 3*c + c)*(c**4 + 3 - 3) - 826*c**3 + 826*c**3 - 2 - 5*c**5 - c**5 + c**5 + c**5.\nAnswer: -3*c**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*o*s**4 + 15743*o*s**2 + 2*o - 76684*s wrt s?\nAnswer: -60*o*s**2 + 31486*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30702 divided by 10234?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -24 - (11 + (-1 - 7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5440 and 271456.\nAnswer: 2714560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.388, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g. Let m(y) = 3*y**2 + 8*y + 8. Let v be 3 - 9\/((-12)\/4). Suppose -v*d + 143 = -1. Let a(n) = n + 1. Let j(r) = d*a(r) - 3*m(r). Give j(i(h)).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 333 and 107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l + 2*l + 12*l - 25*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3065972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227163 is divided by 113570?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (sqrt(99) - (-2*sqrt(99) - sqrt(99)))*1 - sqrt(99)) + sqrt(99) - -1*sqrt(99)*1)*5)\/(((sqrt(90) + -2*sqrt(90))*-5)\/sqrt(10)*-3).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/37 in -68, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 + 5. Let f = h - -62.9953. What is f rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 8*y**3 - 6*y**3 + 5*y**3.\nAnswer: -9*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81436 + -43628. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 438832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*o = -11, a + o = -3*o. Suppose a*j + 198 = 5*j. Calculate the greatest common divisor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 172 + 309. Is 41 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 28d?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1463*u + 1457*u = 2994*u + 1776 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 16*q**2 + q + 13. Let r be g(15). Let -5*n**3 - 3*n**2 + r*n**4 + 10 + 13*n + 262*n**4 - 514*n**4 = 0. Calculate n.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/6)\/(7645\/6116).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2\/(-2))*24. Let d = 57 - 5. Let b = z + d. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6486 - -39?\nAnswer: 6503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 50*i**2 + 124*i - 57. What is k(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6402*x - 7889*x + 1491*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g - 6 + g**2 - g + g**2. Let r(i) = i + 1. Suppose 5*w + 7 = 2*w + s, 4*s - 16 = 0. What is w*q(c) - 4*r(c)?\nAnswer: -2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1171 + 1169)\/((-4)\/50)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5859 - 2*w**2 - 5859. Let v(b) = 587*b. Determine q(v(k)).\nAnswer: -689138*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*g - g + 3*g)*(-26 - 1 + 5) - 5*g + 5*g - 2*g)*(3 + 3 - 5)*(-2*g + 2*g + 2 - g) as o*g**2 + p*g + m and give p.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1033.95 - 24.95. Let y = -804254.807 + 805263. Let n = y - d. What is n rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/24 and 107\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 12132020?\nAnswer: 12131331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9913, 9912, 9911, 9910, 9909?\n\"Answer: -h + 9914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-20)*70\/84\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -k**6\/6 + 9*k**2\/2 - 1. Find the second derivative of j(s) wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.7928 rounded to 0 dps?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 2*c. Let x(r) = 3*r - 9*r + 2*r - 2*r**2. Let n(v) = 9*q(v) + 4*x(v). Let k be n(-2). Solve k = 5*b - 10*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011001 - -101111101?\nAnswer: 10011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 - 3 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54610 and 9030?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**2 - 48502*c + 8091888 = 0.\nAnswer: 168, 24083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/18*6\/(-3))\/(-2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5914.659nm in centimeters?\nAnswer: 0.0005914659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 260\/10 - (-2 - 1). Suppose -2*i - 3*t = 1, 0*i + 5*i - 3*t = h. Solve -16 = -2*v - 4*g, 5 = i*g - 3*g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4031 - 2840 = -820*t - 29831 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 12*k + 4. Let o be f(6). Suppose o = 3*a + a. Calculate the remainder when a is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 3:18 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -823 (base 10) to base 9\nAnswer: -1114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9796919 micrometers to nanometers.\nAnswer: 979.6919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0378677 to three decimal places.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5869*s + 2925*s - 3 + 3 + 2941*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 18*x**2 - 18*x - 15. Let i be t(19). Suppose 2*r + i = 3*r. Solve -3*a - r*y - 12 = -3*y, 3*a = -5*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -972799 * -0.0534.\nAnswer: 51947.4666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3775463 (base 8) in base 12?\nAnswer: 42612b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*w - 144 = 0. Factor w - 36 - 52 - 4*g**2 - 8*g - 24*g.\nAnswer: -4*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 258 - 278. Solve k*s - 9*s + 12 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 314553.18 - 197746.48\nAnswer: 116806.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/9)\/m)**29 assuming m is positive.\nAnswer: m**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2093 and 23\/11?\nAnswer: 23023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/5 - 12107*l**2\/5 - 72678*l\/5 = 0 for l.\nAnswer: -6, 0, 12113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 + 106*u**2 + 139*u - 59. Determine d(-34).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/27)\/(30\/10)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 + 865*w**3 - 10995*w**2 + 19915*w + 90650.\nAnswer: 5*(w - 7)**2*(w + 2)*(w + 185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -5. What is the units digit of (g - (0 + -3))*8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43311 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.54 and -115.\nAnswer: -522.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -156.5865 to zero dps.\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2. Let n = u + -6. Let k = n - -4.999. What is k rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 9*r**2 + 5*r + 1. Let o be b(7). Suppose 4*k - k + 57 = 0. Let y = k + o. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*d - 5176 + 210*d + 165*d + 5176.\nAnswer: 425*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 48, 297, 960, 2241, 4344?\n\"Answer: 34*l**3 + 3*l**2 + 2*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -85322 + 30682. Round q to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1098*y**2 + 1088*y**2 + 4*y + 6 + y + 1 - 2181*y**2. Let a(d) = d**2 + d + 1. What is -6*a(z) + p(z)?\nAnswer: -z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 10*y - 17. Let h(q) = 3*q. Calculate v(h(z)).\nAnswer: 30*z - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 80.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14465857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1466086 is divided by 28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-66)\/96*-6 - (-1)\/(-8). Solve -2*r = 5*k - 11, -k - m*r + 13 = -0*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j + j**3 - 5*j + 5*j**2 + 0*j. Calculate the remainder when x(-5) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -32, -20, 3, -4, 30 in increasing order.\nAnswer: -32, -20, -4, -2, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 11, 12, 13?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11689 - -0.11618.\nAnswer: -11688.88382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-1\/7)*c**6 assuming c is positive.\nAnswer: c**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88028.\nAnswer: 2, 59, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.98054.\nAnswer: 0.49027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33542981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -5*g + 2*j - 106, 0 = -2*g + 48*j - 242 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2. Suppose v + 0 = m + 1, 3*v - 7 = 5*m. Let j = 0 + 2. What is the closest to f in 4, j, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(20\/(-16))\/((-6)\/8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a9541 (base 16) in base 11?\nAnswer: -4340a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*i - 8, 0*v = -2*i - 2*v + 4. Let n be (-48)\/(-5) + 12\/30. Suppose -2*p + n = 3*p. Solve -p*y = d + 13, i*d - 21 = 4*y + d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1 - 3*j**2 + 2*j**2 + 7*j + 2. Let a(i) = -i**3 + 3*i**2 + 3*i - 2. Let r be a(3). What is the remainder when 8 is divided by w(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 950 or 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v - 2. Let d(y) = -6*y - 3. Let i(j) = 6*d(j) - 11*s(j). Let g(a) = 3*a - 3. Determine -6*g(l) - 5*i(l).\nAnswer: -3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34864895.\nAnswer: 5, 13, 23, 23321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/6855 and -77\/45.\nAnswer: 20565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 11*q + 21. Let c be o(12). Suppose 245 = -c*f + 65. Let b(i) = 15*i**2 - 2*i - 40. Let d be b(f). Round d to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 72 = -2*y. Calculate the least common multiple of 6 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqetsqe. Give prob of sequence st.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**2\/u*u))**(6\/7)*u**11*u\/u**(-3\/7) assuming u is positive.\nAnswer: u**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2 + sqrt(52)\/sqrt(4))**2*-4 - ((sqrt(1300))**2 + -4))*2.\nAnswer: -5456 + 64*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17371 by 599.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -10*s. Let a(y) = -223*y. Calculate p(a(r)).\nAnswer: 2230*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 31 - 22 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2 = 2*v, 3*b = 2*b - 4*v - 23. Let n be -28*105*(-41)\/(-6027). Does n = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {q: 5, k: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 739357595 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.8414458 to three decimal places.\nAnswer: -32.841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 26, 70, 152, 284, 478?\nAnswer: 746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20849 is divided by 6847?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 14 = 4*h. Let c = 8 + h. Let o be (-2 - 2)*(-24)\/(-32). Sort o, -1, c, 5 in decreasing order.\nAnswer: 5, c, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -19719*d - 1886. Is n(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*h - 6711 = -13784 - 5881 - 8606 for h.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u = 14*u - 37 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*h - 1224 + 2466 - 1242.\nAnswer: 66*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*o + 0*o**3 + 3*o**2 - o**3 + 2*o**4 - 26*o in the form h*o**2 + z + t*o**4 + l*o**3 + y*o and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*10 + 781\/(-71)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 1:19 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from pepneeeepep.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - 10*d**2 - 2*d + 10. Calculate w(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/10558205 and -1\/12066520?\nAnswer: 84465640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -55 + 13. Let v be (-49)\/i - 4\/6. Let n = -69 - -65. Which is smaller: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440956 is divided by 110236?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484775714?\nAnswer: 2, 3, 71, 647, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 - -77. Let b = 5.9 + -7. Let k = b + 0.8. What is the smallest value in -2\/7, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5*z - 3)*(-1 - 2 + 4)*((2 - 3 - 1)*(-4*z + z + z) + 3*z - 2*z + 0*z).\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*c - x, -5*c - 2*x + 129 = 115 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 60*t - 168. List the prime factors of n(8).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 - 16.92. Let a = l - 2. Is -2\/3 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1814 + 729 = 3*o, -2*o + 3*w - 724 = 0. Let g = -359 + o. Let k = g - -1017. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 581*a - 12 = 579*a. Suppose a*b - 55 = 485. Let f = 29 - 19. Calculate the highest common factor of f and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**5 + 3*c**4 + 27*c**3 + 33*c**2 + 12*c = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((0 + 1)\/3). Let d be (2\/(-2))\/(v\/(-750)). Let q = -6 - -31. What is the greatest common factor of q and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, x: 1, m: 7, b: 1, l: 1}. What is prob of sequence nmn?\nAnswer: 49\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 0*m**3 - 5*m + 5*m**3 - 464*m**2 + 3 + 2 + 467*m**2 + 0. Calculate y(2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -601*v + 1221*v + 0*v**3 - 620*v + v**3 - 10940 in the form z*v + x + q*v**3 + a*v**2 and give x.\nAnswer: -10940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -49 - (5 + (31 - -5 - 27 - (1 + 19)))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((55\/(-20))\/(-11)) - 0. Calculate the highest common factor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/14 and (-12)\/(-144) - (-2 + 0).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6711466 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 14*a**2 - 16*a - 11. Give r(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Let u(p) = -38*p - 2. Let g be u(-1). Let w be (12\/36)\/(1\/g). Solve f*j = -2*c - 2*j + w, 3 = -c + j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 11*s + 5. Suppose -y + 6*y + 50 = 0. Let w be x(y). Let j(r) = r**3 + 4*r**2 - 7*r + 2. What is the tens digit of j(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-5) - 3 - 2\/5. Solve -2*z - 4*m - k = -17, m = 5*z + 15 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-175)\/4)\/((-54345)\/(-43476)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 2 - ((1 - 2) + -7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*d + 39 = 0, 2*d + 82 + 0 = -4*r. Suppose -32 = -4*b - 5*n - 0, 4*b - 4 = 2*n. Suppose b*y + 14 = -52. Which is bigger: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24371394 * 0.01.\nAnswer: -243713.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40260736?\nAnswer: 2, 37, 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + -16)\/((-14231)\/646 + 22)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 124, -16, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 - 113*r**4 + 93*r**4 + 5*r - 3*r in the form k*r**2 + t*r**3 + w*r**4 + i*r + o and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2882 and 1572?\nAnswer: 17292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1336\/3006*72\/(-2)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 + 2*h**3 - 4*h**3)*(-8*h**2 + 2*h**2 - 12*h**2) + 5*h**4 - h**5 - 5*h**4 + 46 - 46 - 13*h**5 - 2*h**5 - 3*h**5 + 3*h**5.\nAnswer: -34*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (9 - 16 - -13) - 45) + (-23 - -27)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 12:31 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/4)\/((-1)\/4). Suppose -10 = -t*a + 5*w, 3*w + 0 + 2 = 2*a. Suppose -a*f = -20, -5*v + 29 = 4*f - 31. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 9*l + 4. Suppose 2*y - 13 = 5. Let s be u(y). Solve -2*q + 29 = -5*i - 0*q, 0 = -s*i - 2*q - 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122223 (base 4) to base 11\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -336 + 334 - 4\/(-2). Which is the fifth biggest value? (a) -2\/3 (b) p (c) 0.1 (d) -1\/5 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 21717942*r. Let z(k) = -18*k**2. Calculate s(z(v)).\nAnswer: -390922956*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -74 (b) 4 (c) 629\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-27)*(-116235)\/1260?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 10600716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 97*j**2 - 627*j + 183. Give m(-90).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7680000 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (-65)\/(-15))*-15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 4*j**2 - 223*j + 188. Let u be v(28). Let p(a) = a**2 - 5*a + 1. Let o be p(3). Sort o, 5, -1, u.\nAnswer: o, -1, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4*b**2 + 2 - 2*b**2 as f*b**2 + k + t*b and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2008952 * 2\nAnswer: 4017904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*l - 4*i - 37, 2*i = l - 13. Let n = l - 5. Which is smaller: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 59 = 4. Sort 16, 5, v in decreasing order.\nAnswer: 16, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r = 23*r. Let x(d) be the first derivative of 0*d + 0*d**5 - 2\/3*d**6 + r*d**4 + 0*d**2 + 1 - d**3. What is the third derivative of x(t) wrt t?\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2761 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*o - 2*o - 15 = 0, 3*o + 12 = 0. Suppose 3 = -2*w + x, p = -2*w. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -811*q - 297*q - 1272*q to z*q + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -a42338b?\nAnswer: -a423388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -y - 1 - 0, 2*y = -5*n + 26. Suppose -n*j + 390 + 742 = 3*c, 2*c - 1132 = -4*j. List the prime factors of j.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5781436 at least 5781489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -11. Let f = v + 8. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 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: Suppose 0 = 2*z - 6*z - 56. Let h be (-4)\/z + 165\/35. Solve t + h*y - y + 5 = 0, 0 = -5*t - 2*y - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 156*s**5 - 92*s**5 - 146*s**5 + (0*s**2 - s**2 + 0*s**2)*(-4*s**3 - s**3 + 4*s**3).\nAnswer: -81*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751264 is divided by 93907?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -9, -15, 1 in increasing order.\nAnswer: -32, -15, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(20)*-3)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-14)*(-24)\/30. Let r = -5 + 5.06. Let h = r + 2.94. Which is the closest to 1\/2? (a) -1\/4 (b) d (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1 - (-15200)\/(-7410).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 + -151?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, n: 4, g: 2, i: 1, u: 1}. What is prob of picking 1 i and 1 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c = 10*c - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4497999*g**3 + 6617323*g?\nAnswer: 26987994*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2. Suppose 0*i - 4*i - 536 = 0. Let q be (-9)\/(-12)*-1 - i\/8. Let x(r) = 15*r + q*r - 21*r**2 - 31*r. Give x(y(v)).\nAnswer: -84*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 8 = 5*s, 3*p - 2 = -5*s + 2*p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 2:54 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -274003*p**3*u*x - 20*p**2*u*x - 227*p**2*u - 11*p**2*x wrt p.\nAnswer: -1644018*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 416360077 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.384? (a) 1\/10 (b) 6\/13 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 4*n + 6. Suppose j - 2*a - 5 = 0, 8*a - 3*a + 15 = 3*j. Let t be o(j). Suppose -t = -s - 3. Calculate the remainder when s is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 - 2 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3751 + 3753. Put r, -7, -98\/5 in decreasing order.\nAnswer: r, -7, -98\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q + 27. Let g = -576 + 581. Let x be f(g). Solve -1 = x*r + 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 22.77719km?\nAnswer: 22777190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13794463 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7261036*y**2 - 2915336.\nAnswer: 14522072*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*c**2 + 8 - 8 - 80*c + 25*c**2 to g*c**2 + x + u*c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(448))**2 + -5 + -4.\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1279, -5083, -11409, -20257, -31627, -45519?\n\"Answer: -1261*i**2 - 21*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(5) + 0) - -6*(sqrt(5) + -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(57)\/sqrt(3) + 0 + sqrt(304))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2441 divided by -67436.\nAnswer: -2441\/67436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 12) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 - 1)*(u + 2 - 2)*(-6 + 23 - 10) as n + d*u and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 4*m - 26 + 9 + m.\nAnswer: -3*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bigghiks. What is prob of sequence kbi?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0671, 1\/4, 3\/11, -1 in descending order.\nAnswer: 3\/11, 1\/4, -0.0671, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6176 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + c + 71, r = 348*c - 351*c + 67. Solve -43*d = -2*x - r*d + 17, -x + 2*d + 10 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(540) + (sqrt(540) + -3*sqrt(540))*5))\/((4*sqrt(48))\/sqrt(4) - 6*sqrt(768)).\nAnswer: -135*sqrt(5)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-4))\/((-5)\/(-10)). Suppose 0 = -b - 3*p + 27, 4*b - 33 = o*p + 7. Calculate the remainder when 25 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -3. Let j = q - -29. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -11940197?\nAnswer: 11940202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 665723035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*g - 2*m + 12, 20 = -g + 5*m. Suppose 3*j + 2 - 8 = g. Suppose -j*l = -5 - 25. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -29*d**3 + d**2 - d + 1. What is m(1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4 + -10*(-136)\/160. Let c(d) be the second derivative of 0 + 33*d - o*d**2 - 8\/3*d**3. What is the first derivative of c(h) wrt h?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15081764 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5402 = 185*d - 1887 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 128*v**2 + 2. Let b(a) = 28*a**2. Calculate b(g(y)).\nAnswer: 458752*y**4 + 14336*y**2 + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 113, -1124, -3233, -6214, -10067, -14792, -20389?\n\"Answer: -436*p**2 + 71*p + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7227, 7247, 7303, 7401, 7547, 7747, 8007, 8333?\nAnswer: 8731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**2 - 921528*l + 53075865924 = 0. Calculate l.\nAnswer: 115191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43437 divided by 5.\nAnswer: -43437\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3 + 35*y**2 - 13*y - 1. Calculate the remainder when 98 is divided by j(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 40 = -2*k. Suppose 5*d + 0 = k. Suppose -2*o + 2*n - 4 = 0, 2*o + 0 = -d*n + 16. Is o not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*(z*z**(-2\/9))\/z)\/z)\/z)\/z)**(5\/2)\/(z**0)**49 assuming z is positive.\nAnswer: z**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 3*u - 3. Let j = -4 + 4. Suppose 3*d + a - 9 = 0, -3 = -a - j. What are the prime factors of b(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 0*l + 4*l, 2*l = -4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*a + 2. Let t = 72376 + -72376. Solve a + t = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 22*k + 414. Calculate v(-23).\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1024919150.\nAnswer: 2, 5, 223, 91921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 times -3.4?\nAnswer: -608.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-12))\/((-11)\/33).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/9598542 and -105\/37664.\nAnswer: 1689343392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 54*d**2 - 2*d - 1. Let z be v(2). Suppose -z = 12*w - 13*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5507, -3 in decreasing order.\nAnswer: 5, -3, -5507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 10100?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 30, 9.2, -7, 50, 8, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - l. Let s(d) = -11*d**2 - 10*d - 17. Let t(i) = 2*a(i) - s(i). Let z(f) = -4 - 5225*f**2 + 5222*f**2 + 4 - 2*f - 4. Determine -2*t(u) - 9*z(u).\nAnswer: u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 + 1.6. Which is the third smallest value? (a) -0.5 (b) q (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.4923252mg?\nAnswer: 0.0000000004923252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x = -28*x + 1. Is x at least as big as -24\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.0835?\nAnswer: -0.00835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6427273, 12854556, 19281839?\nAnswer: 25709122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-8) + 39447\/36 + 16?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4425825403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(11\/7)\/(((l**(2\/3)\/l)\/l)\/(l*l\/l**(6\/5))))\/(((l\/l**1)\/((l\/(l\/((l\/l**(-1))\/l)*l*l)*l)\/l))\/l**8) assuming l is positive.\nAnswer: l**(1124\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 111044, -308, -4 in descending order.\nAnswer: 111044, 5, 4, -4, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -1461 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*48\/(-648)*-72?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p + 8867 + 5028 = 0. Calculate the remainder when p is divided by 105.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*k - 16 = 0. What is the second derivative of -g**2 - 50*g**4 - 1850*g + 1923*g + 0*g**k wrt g?\nAnswer: -600*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101525927 + 101525927.52999979. Let h = -0.06 - -0.59. Let v = h - j. What is v rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671505 is divided by 95929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 + -36. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -15*w**3 - 2*w**2 - 13. Suppose 2*t + 2*t = 12. Let o(z) = -z**2 - 2*z**3 - 6 + z**t + 0*z**2 - 6*z**3. Give 13*o(n) - 6*u(n).\nAnswer: -n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.157 + -0.166. Let f = -3.009 - l. What is the smallest value in -0.08, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*l + 64*l = 0. Factor l*i - 1\/5*i**3 + 1\/5*i**4 + 0 - 2\/5*i**2.\nAnswer: i**2*(i - 2)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9149422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**2 - i - 3. Let y be 18*(4 - 0)\/(-12). Let k(t) = 5*t**2 + t + 4. Determine y*k(n) - 7*h(n).\nAnswer: -2*n**2 + n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - -3 - (-6 + 2 + 69 + 28 + -81).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*c**5*s - 15*c**5 + c**3 - 4*c - 7*s + 1 wrt c?\nAnswer: -120*c**3*s - 300*c**3 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-14) - 0\/(-1). Let k = -64606 - -64611. What is the second smallest value in 0.5, l, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 4:06 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23121371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (35 - 28) + -1 + 11 + (20 - 24)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269 + 269 + 330*d**2 - 330*d**2 + d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10201793*q**4 - 3*q**2 - 73183 wrt q.\nAnswer: 244843032*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/583*(-7 - -9)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 4*q + 101900042*q**2 - 101899967*q**2 - 3*q.\nAnswer: 75*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-105)\/(-4))*(-15)\/10.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1833 + -1336?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 3*x - 62, 3*x + 65 = -t + 87 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 4:07 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 + 65. Let i(v) = 11*v**2 + 3*v - 1. Let b be i(c). Are b and 13 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -427 + 527. Sort n, 5, -2.\nAnswer: -2, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*y**5 - 77\/4*y**3 + 0*y - 4*y**4 - 49\/2*y**2 + 0.\nAnswer: -y**2*(y + 2)*(y + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-27))\/(140\/(-15))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10276)\/38535)\/((-4)\/3)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.194 + -52.682. Let u = 74 + h. What is u rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 11:13 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 11. Suppose 15 = 5*c - h*c. Solve 0 = -4*u + u - c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6560400 and 990.\nAnswer: 19681200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 2*k**2 + 2*k - 1. Let o be c(1). Suppose 0 = -5*y - o - 20, 2*y = d - 5. Is (-6 - -27)*(-2)\/d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7 = -1. Let d = 14 - k. Calculate the least common multiple of d and 4 + 1 + (-4)\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39759*g*s**3 - 11017*g*s**2 + g + 2*s wrt s?\nAnswer: -238554*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 679406133 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183694 = -3*n + 228995. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -101*r**3 - 2*r**2 + 15*r + 12. Does 12 divide a(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -586*t - 48*t + 3 - 4 - 31*t as z + i*t and give i.\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 480386 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*(-1 + sqrt(3388)) - ((sqrt(588)\/(-1*sqrt(12)) + sqrt(49))\/(1*sqrt(28)) + -1))**2.\nAnswer: -528*sqrt(7) + 54217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (52500\/860 - 17 - 8\/172) + 0?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 22369 + 2*y**2 - 12*y - 22369 - 8*y. Let l(i) be the second derivative of -i**3\/6 - 15*i. Determine h(l(c)).\nAnswer: 2*c**2 + 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - m**2 + m**2)*(1673*m**2 + 33346*m - 33346*m).\nAnswer: 5019*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y + 3. Let b(w) = 8*w - 10. What is 4*b(g) + 14*i(g)?\nAnswer: -10*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 1127?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2512*3.\nAnswer: -7536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27439530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Let m(t) = -13 - 9*t - 5*t**f + 0*t - 6*t**2. Let j(a) = 5*a**2 + 4*a + 6. Suppose -9*r + 563 = 482. What is r*j(y) + 4*m(y)?\nAnswer: y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/3 - 1336*l\/3 - 223112\/3 = 0. Calculate l.\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -5*u - 2*p, -2*p - 391 = 3*u - 531. Let q = 5 - -4. What is the remainder when u is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2031379 or 2031380?\nAnswer: 2031380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 1\/3*l**3 - 1\/2*l**2 + 54*l + 0 + 1\/12*l**4. Let i(w) = -w**2 + 1. What is 2*i(x) + m(x)?\nAnswer: -x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*v - 1168 + 949 = 1365 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 412*l**2 + 1678512 - 185*l**2 - 1344315*l - 329709*l - 3*l**3 - 2591*l**2 - 2121*l**2.\nAnswer: -3*(l - 1)*(l + 748)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15073 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9442?\nAnswer: 2, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3988*k**2\/5 + 23931*k\/5 + 18\/5.\nAnswer: (k + 6)*(3988*k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - i - 41 = o, o = -4*i - 21. Let s = o - -16. Suppose u - 5*v - 6 = 0, -s*u + 4*u - 2*v = 9. Put 1, u, -3 in increasing order.\nAnswer: -3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*j**2 - 78*j**2 + 24*j**2 - 245*j)*(-3*j + 3*j + 3*j).\nAnswer: -12*j**3 - 735*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*x - 32*x - 12*x + (0*x + 2*x + 0*x)*(3 - 2 + 0) + (4 - 4 - 2*x)*(-3 - 1 + 2) + 3*x - 3*x - 2*x.\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136896, -136915, -136964, -137055, -137200, -137411?\nAnswer: -137700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 144 + -77. Let r be 49 + (3 - -1) + -2. Suppose -r = 3*u - 6*u. What is the remainder when z is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r + 173. Let l(a) = 2*a**2. What is o(l(w))?\nAnswer: 8*w**2 + 173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 524*z**3 - 111*z**3 - 34*z**3 + 47*z**3.\nAnswer: 426*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.457? (a) 0.1 (b) 3\/7 (c) -3\/10 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 53.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.724 and 10851552.3?\nAnswer: 10851553.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4246 - 93365\/22. Let h be 1\/3*2703\/(-374). Let m = h - -53\/11. Calculate the common denominator of t and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 2:42 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19312 and 2176?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50881 and 43873?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 101303690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9890, 9889, 9888, 9887, 9886, 9885?\n\"Answer: -d + 9891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -106, -181, -286, -421, -586?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z - 9. What is the tens digit of m(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 14 = -2. Let s = 4 - y. Suppose s = -f - 0*f + 15. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93337785*o**3 - 5463*o**2 - o - 4?\nAnswer: -560026710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v = -13*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + -3. Let y(a) = a**2 + 7*a - 6. Let h(j) = -2*j**2 - 14*j + 11. Let n(o) = -2*h(o) - 5*y(o). Is n(p) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -244 from 0.2.\nAnswer: 244.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -1135305.\nAnswer: 2\/227061","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 165 - 165. Which is bigger: b or 1\/24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*m + 4. Let a(y) = 48*y**2 - 5*y - 47. Let f be a(-5). Suppose -302 + f = m*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*y - 22 = 0, -11 = -3*a - y - 3. Suppose 3*u + 3*b - a = 2*b, 4 = -4*u - 4*b. Let p = -0.1 - -0.1. What is the closest to p in 4, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1200000101 + -31?\nAnswer: 1200000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23403585 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.104 * -2.15406.\nAnswer: 0.22402224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 18*y**2 - 103*y - 376. Let t be i(-4). What is the highest common divisor of t and 2025?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3214258 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -429\/862 - 1\/431. Which is the third biggest value? (a) 1\/13 (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmtimoopa. What is prob of picking 2 m?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 2*v + 3 - 2.\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-2))**(-1\/3) assuming l is positive.\nAnswer: l**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -119\/43?\nAnswer: -119\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5793, -23115, -51993, -92433, -144441, -208023, -283185, -369933?\nAnswer: -468273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-159 + 109*a + 324 - 165)*(2*a**3 - 2*a**3 + 2*a**4).\nAnswer: 218*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*h**2 - 62*h**2 - 9*h + 3*h - 10*h - 61*h**2.\nAnswer: -22*h**2 - 16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 299123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115804?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 42, -25, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y - 171 = -66. Let g(b) = 9*b**2 + 28*b + 9. List the prime factors of g(y).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 7*f**2 + 6*f - 2. Let x be b(-6). Let g = 11 - -2. Let y = g + x. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - j = 19, 0 = -3*v - 82*j - 49*j + 467 - 1367 - 1333 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 h when four letters picked without replacement from {j: 2, h: 7}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + v**2 - 3711730990165 + 3711730990165.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.128457 or -1?\nAnswer: 0.128457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2946 - 0.9946. What is the closest to 2\/7 in 584, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -46*r + 44. Let l be d(1). Let n(v) = -4*v**3 - 4*v - 8. Calculate the remainder when 57 is divided by n(l).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6479777.3 rounded to the nearest one thousand?\nAnswer: -6480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1896558565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2437, -2436, -2435, -2434, -2433, -2432?\nAnswer: -2431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -915*y + 928*y = 585 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*g + 7, 2*u - g + 5 = 5*u. Let h be -3303*(u - (-10)\/(-3)). Suppose 0 = -6*b + 9*b - h. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnwgnnyccntycty. What is prob of picking 2 c and 1 y?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.7 (b) 25 (c) -11\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32070 = -5*i - 0*i. Let y = 38393\/6 - i. Find the common denominator of -52\/11 and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97 - 192 + 21*t + 93)*(-2 + 1 + 0 + (1 - 1 - 1)*(-2 + 2 + 2) + 0 - 2 + 0 + (-2 + 3 - 3)*(0 + 1 + 0) - 2 - 2 + 3).\nAnswer: -168*t + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1633*c - 59 = 1638*c - 4*m, -48*m - 176 = 4*c - 180*m for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.239 + 0.2148. Round n to 3 decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19, 18, 9, -14, -57, -126?\n\"Answer: -r**3 + 2*r**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 2 + -295 + 276 + (0 - -11).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27.9? (a) -0.1 (b) 22\/5 (c) 2\/3 (d) 4 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 2)*(0 + 0 + 2*g**2) - 373 + 1298*g**2 + 186 + 187 + (2 - 2*g - 2)*(-2*g - g + g) as c*g + u + j*g**2 and give j.\nAnswer: 1304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 4*d + 3. Let j be v(2). Which is the nearest to 1? (a) 1\/4 (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -726457.24 rounded to the nearest one hundred?\nAnswer: -726500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1674*v**3 + 3*v**2 + 3*v + 3. Let k(h) = -1667*h**3 + 2*h**2 + 2*h + 2. Give -3*k(o) + 2*w(o).\nAnswer: 1653*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106591 is divided by 839.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/21 + 48\/28. Let d(b) = -2*b**3 + 2*b**2 + b + 2. What is d(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z + 28 = 4*q, -4*q + 36 = 5*z. Solve -z*v - 63 + 51 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-164*p**3 + 325*p**3 - 413*p**3)*(2*p - 7*p + 2*p) in the form r*p**3 + t*p + b + a*p**4 + g*p**2 and give a.\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5913 and 2511?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 7*o**2 + 7*o - 10. What is t(5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 148\/18)*10\/25*20 - -6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) -4.59 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133?\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j + 6 = 2*n, 0 = 5*j - 4*n - 15. Suppose -5*b + 3*b - 3*y + 4 = 0, 4*b - 2*y - 24 = 0. Are b and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2802512 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10888.77ml to litres.\nAnswer: 10.88877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - x - 1 = -0, -5*c + 4*x = -30. Let p = c + -1. Let s be (-49)\/(-28) - (-1)\/4. Which is bigger: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 96*g + 31*g + 30*g + 33*g + 83.\nAnswer: -2*g + 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 71*n + 107. What is the hundreds digit of h(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.2562 meters in centimeters?\nAnswer: 10225.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 3*m - 336, 4*m + 1 = -7. Let f = u - 62. Suppose -f*x + 13 = -3. Solve -x = -d - d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 823569?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8804 - 1.7804. Which is the fourth smallest value? (a) 278 (b) -5 (c) s (d) 0.5 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 t when three letters picked without replacement from ztjmtjtztqjt?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946301922 a multiple of 1511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156951 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/1*5\/(-15)*-3. Solve q*z = 6*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 191 + -197. Let g(p) = -p**3 - 5*p**2 - 4*p + 4. Let o be g(-4). List the prime factors of (-8)\/i*6\/o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 371.\nAnswer: -15\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -12*l. Suppose -4*x + 2*o = o - 12, 2*o = 2*x - 12. Let p(u) = 3*u - x*u - 9*u + 6*u. Determine p(c(g)).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 49 + 7a?\nAnswer: c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4, -3, 1, 3\/7.\nAnswer: -3, 3\/7, 0.5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-1)\/(-2 + 1). Suppose m + r*o + 2*o - 10 = 0, 2*m + 3*o - 6 = 0. Solve -2*i + j + 10 = m, 5*i + 4*j + 11 = 36 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 193*g**2 + 7724*g - 9. Give s(-34).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/72 in -4\/5, 1, 2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**2\/5 + 1858*r\/5 - 3708\/5 = 0.\nAnswer: 2, 927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4))**(-7)\/((((r*r**(-3))\/r*r)\/r)\/r)**(-41) assuming r is positive.\nAnswer: r**(-649\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-9)*u**(3\/7)*u)**49)**21 assuming u is positive.\nAnswer: u**(-7791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -21*o**4\/4 - o**3\/3 + 5*o**2\/2 - 15*o + 112. What is the second derivative of q(t) wrt t?\nAnswer: -126*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300067662?\nAnswer: 2, 3, 31, 53, 61, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*a*s**4*x**2 - 2*a*s**2*x**3 - a*s*x**3 - 7*a + 813*s**4*x**3 - 379*s**2*x wrt s.\nAnswer: 576*a*s*x**2 + 19512*s*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17330\/7 + 470373\/190. What is the common denominator of 59\/49 and f?\nAnswer: 9310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1178 is divided by 586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 423227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-15 - (-73 - 11)) - (-1 + 0) - -11.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*k = 198. Let j(w) = -w**3 - 21*w**2 + 24*w + 46. Let a be j(k). Solve 0 = a*x + 2*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -30*(-40)\/4*1*4\/(-50)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80785)\/(-48471)*(2 + 56\/(-30))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -2*d**3\/27 - d**2\/3 - 4*d\/9 + 93. Factor z(r).\nAnswer: -2*(r + 1)*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 = 1647\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1140 - 1127.91. Let p = u - 12.4. Are p and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000985 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 3*c**2 + 111 - 111)*(5*c**2 - 19*c**2 - 8*c**2) + 2*c**3 + 2*c**4 - 2*c**3.\nAnswer: -64*c**4 - 88*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5452 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/140 and 119\/6.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2537 - -2539. Solve 5*t - 6*b = -b + 25, a*b = -10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20002200010102121 + 11?\nAnswer: 20002200010102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 - 6162964*c.\nAnswer: -4*c*(c + 1540741)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-318)*-3 + (-149175)\/13515?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-2)\/(-1 - -7)). Suppose -111 - 69 = -z*l. Solve 3*o = -l, o + 5 = -f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 34\/18 - (-22)\/198. Solve -4*s - 26 + 0 = 5*j, 2*s - 5*j = f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 412260.5mg?\nAnswer: 0.0004122605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000362894 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/23)*z)\/z)\/(z**(-7)\/z*z) assuming z is positive.\nAnswer: z**(159\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 759 + 3559 = f. Is 38 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2260 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3019534.1 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/((-4)\/4 + 2). Let g = -15 - -9. Let y = g + m. What is the greatest common factor of y and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52\/45? (a) -0.42 (b) 1\/6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 23842.76*4\nAnswer: 95371.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {c: 1, r: 4, h: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 plus 45.6?\nAnswer: 83.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 12:11 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -13, -2\/5, -48, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*g - 2*g - 23, -5*v - 16 = 2*g. Let d be v\/(0 + (1 - 2)). Let a = 2 + -3. Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1839 + -1836. Solve -c = 6*n - 2*n + 9, 4*c + w = -5*n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 3, 97, 0, 1 in decreasing order.\nAnswer: 97, 27, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -14*p - 14*p + 22007*p**3 + 16*p**2 - 22008*p**3. Calculate z(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 517 - -269. Round d to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.2? (a) 9 (b) 5\/3 (c) 8 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/2173 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 16. Let b(i) = 0*i - d + 0*i + 2*i. What are the prime factors of b(9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3124 and 5534024?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 33. Suppose -w*y = -17*y + 33. Calculate the highest common divisor of y and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 893964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 != 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2063037.\nAnswer: 3, 687679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32, 207, 486, 863, 1332?\n\"Answer: -n**3 + 58*n**2 + 8*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4605 = l, -10*l = -5*l. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2220+562834.4704\nAnswer: 560614.4704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 52\/2 - (-20)\/(-5). Suppose -u*j - 6 = -23*j. Suppose 10 = j*w + 136. Round w to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171 - -181. Let s = 21 - 16. Suppose o + 30 = 4*t - 9, -2*t - s*o = -25. What is the greatest common factor of n and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5c146 (base 15) to base 4\nAnswer: -1013300130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4}. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(5 - 4 + 0)*(21*v - 12*v + 20*v).\nAnswer: 29*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*w - 4*n = 4, 2*w + 4*n = 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - h + 9 = 0. Let x = 10 + -1. Suppose 5*j - 15 = -2*b, -b - 3*j = b - x. Put h, -2, b in decreasing order.\nAnswer: b, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 5, 0.2, 193, 12.\nAnswer: 0.2, 1\/2, 5, 12, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -23443306.9 rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/12)\/((-2)\/6). Let m be x\/3*54\/4. Suppose 4*l - m*l = -c + 7, 0 = -c + 4*l + 8. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92593680 divided by -9264\nAnswer: 9995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7767786.\nAnswer: 2, 3, 13, 53, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(165\/176))\/((-3)\/720). Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7488458 divided by -5281?\nAnswer: -1418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1231221 and 15.\nAnswer: 6156105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93945.29ug to nanograms.\nAnswer: 93945290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*h**2*o - 2*h**2 + 37*h - 9*o wrt h.\nAnswer: 164*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**4\/5 + 3172*o**3\/5 + 9526*o**2\/5 - 3172*o\/5 - 1905 = 0.\nAnswer: -3, -1, 1, 3175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 7*p + 9. Let m be k(-5). Let a be (1*m)\/((-7)\/21). Suppose -4*j = a*y - 785, -4*y - 66 = -j + 116. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -5*(-3296)\/(-1360).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 6. Let d be q(10). Let r = 16 - d. Let s = -8 + r. Solve -y = -o + 4, -y - 5*o + 14 = -s*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 68 = -a, 4*a + 66 = 3*x + a. What is the smallest value in -5, 3, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1049 - -5661. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Suppose -3061*f + 26325 = 11020. Solve q*d = -d - f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*k**2\/9 - 20*k.\nAnswer: 4*k*(4*k - 45)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-26) - 196\/91. Let n be (-10)\/4 + 2 - p. Is n at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -46 - c**3 - 94 - 5*c + 4*c**2 - 4*c - 20*c**2 - 4*c. Let b be z(-16). Suppose 4*l + 3*f - 283 = 0, -2*f = -l - 4*f + 77. Which is smaller: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 - 3*m**2 + 4*m - 3. Let v be t(2). Let n(s) = -s**2 + 8*s + 7. Let i be n(v). Put i, 4, -1 in decreasing order.\nAnswer: 4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -70*l**5 - 4766*l**4 - 31022*l**3 - 46906*l**2 - 10980*l = 0. Calculate l.\nAnswer: -61, -5, -9\/5, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -1339*g**8\/168 + g**5\/60 + 94*g**3\/3 - 466*g**2. What is the third derivative of l(y) wrt y?\nAnswer: -160680*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7964, 7972, 7996, 8042, 8116?\n\"Answer: a**3 + 2*a**2 - 5*a + 7966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3, 4, 2 in descending order.\nAnswer: 4, 2, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) 0.0021 (c) 225\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00117441 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 0*k**5 + 2*k**2 - 5\/24*k**6 - 9\/8*k**4 + 0*k - 1\/3*k**3 + 13. Find the second derivative of h(n) wrt n.\nAnswer: -150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3872 - 3872.1. What is the third smallest value in -242, 0.2, -3\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 41085867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11138.\nAnswer: 2, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Suppose 5*t + g - 6 = 0, 0 = 5*t + 5*g - 2 + 12. Let q(j) = -2 - j**t - 30*j + 30*j. Give q(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1902.03 + 1902. Which is the third smallest value? (a) 1\/3 (b) z (c) 0.6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 - 1251*v**3 - 1262*v**3 - 25*v + 2481*v**3 in the form b*v**3 + g + j*v**2 + z*v and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-2 - -7) - (-14 - -19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 10*c - 19. Let j be 0 + -4 - (-12)\/(-6). What is the least common multiple of a(j) and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1372\/112 - 3\/(-4). Let r be (-7 + a + -7)*-2. What is the greatest common divisor of 86 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.2 - 5.8. Let p = -3.37 - x. Let u = -0.03 + p. What is the third smallest value in u, -2\/25, -2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 4 = -3*h, -2*y = -y + 3*h - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70549.883 rounded to the nearest 1000?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4211 is divided by 1488\/(-12)*(-44 + 43)?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/1749*(1 - 16\/6)\/((-910)\/1638)?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132.37 + -132.249304. Let j = -404.710304 - h. Let c = -405 - j. What is c rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1023*h - 60265 = -12184 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-380)\/(-30) + (-45)\/27. Solve k*w + 91 = 69 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111646 + -66693. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 3\/2 (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41777094.\nAnswer: 2, 3, 6962849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*p = 66, 4*h + 83 = p - 2*p. Let k(w) = w**3 + 20*w**2 - 22*w - 21. Calculate k(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 976 = -4*p + 7423, -3*p + 6298 = -4*i. Is p a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 3 - (-28 + 19)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 3) + -1 + (-6 - -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 1\/26, 0.8 in ascending order.\nAnswer: 1\/26, 0.8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*t - 227197 = -273*t + 111383. Calculate the highest common factor of t and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 5*c + 9*k - 10, -10 = -5*c + 3*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -3)\/(-2 + -2 + 2). Differentiate -103*n**a + 122 + 813*n - 813*n with respect to n.\nAnswer: -206*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2222000 (base 3) to base 8\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 70, 71, 70, 67, 62, 55?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4343985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -140, -471, -1082, -2057, -3480, -5435?\nAnswer: -8006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7))**(-34)*x\/((x**(-2\/9)*x)\/x)*x\/((x**(1\/4)*x)\/x) assuming x is positive.\nAnswer: x**(-1951\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.034*-0.057.\nAnswer: 0.001938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1939\/860 + -1\/215. Is l at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3*s - 2577, -2*s + 4291 = 5*z + 2*s. What is the remainder when z is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 737 and 239?\nAnswer: 176143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gejjg. What is prob of sequence eg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -46, -13907, 1, 3\/7, 0.1 in descending order.\nAnswer: 1, 3\/7, 0.1, -5, -46, -13907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2992705403\/33 + -90681216. Let o = 6826 - l. Calculate the common denominator of o and 8 - (-978)\/36 - 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h + 12. Let q be j(3). Suppose q = g + 2*r + r - 30, 0 = g + 5*r - 38. Suppose 0 = -y - g + 42. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 97748, 193797, 289858, 385937, 482040, 578173, 674342, 770553?\n\"Answer: d**3 + 96042*d + 1705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -530 + 532. Sort v, 7, -3 in ascending order.\nAnswer: -3, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13 and 0.1552429?\nAnswer: 13.1552429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*i - 82 = 33*i. Solve 20 = -4*r - 4*q - 16, 0 = -i*r + q - 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from allgdg. What is prob of sequence adg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 5*d + 3*d)*(6 - 20 + 12) to t*d + b and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 311, 40, 10130 in decreasing order.\nAnswer: 10130, 311, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86 - 86 - 116*u**2)*(5*u**2 + 3*u**2 - 5*u**2).\nAnswer: -348*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-2)*8\/(-3). Let r = 576.8 + -577. Let t = -11.99 - -12. Sort t, 3, n, r in increasing order.\nAnswer: n, r, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, -35472\/7, 0.4, -120?\nAnswer: -35472\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1373 - -2?\nAnswer: -1371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6ba (base 15) in base 7?\nAnswer: -4306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 92 = 2*j. Let y = j + 13. Is (-2)\/(-5) - 486\/y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 9. Determine g(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -17*x**2 - 2. Let i(a) = 5*a**2. Give i(o(z)).\nAnswer: 1445*z**4 + 340*z**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 19*s**2 - 36*s - 131. Calculate j(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938 is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/11479510 and 65\/14?\nAnswer: 11479510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**4\/4 + 8*h**3\/3 + 6*h + 13. Let z be f(8). Let u be z - 7\/(7\/3). Solve 3*k - 3 = -4*a, -4*k + 0 + u = 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -17*s**2 - 3*s + 3. Let i(c) = 17*c**2 + 4*c - 4. Calculate 3*i(h) + 4*x(h).\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 6*b + 4. Let g(t) = t**2 + t - 4. Let f be g(-3). Let s(z) = 49*z - 37*z + 0 - z**3 - 6 + 11*z**f. Let v be s(12). What is d(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.027449655 to four dps.\nAnswer: 0.0274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 66*a**2 - 3953*a + 4830.\nAnswer: (a - 35)*(a + 23)*(5*a - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 6*k**2 + 3*k + 3. What is the remainder when q(5) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101022121122211 + -101?\nAnswer: -101022121200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77\/4 - -20. Let v = 0.170168 - 0.100168. Which is the closest to v? (a) -1 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h + 8. Let s = 7 + h. Let u = s - -5. Solve 16 = 4*l - x, -6*l + l + 41 = u*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*h - 7. Suppose s = 4*f - h, 5*s + 4*f + 0*f = 38. What is the tens digit of 4 - -12 - (2 - s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 8. Suppose 0*r + 140 = -5*r. Let b = r - -38. Solve -t = 5*d + b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 7:57 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 10:32 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -111b29 (base 16) to base 9\nAnswer: -2087727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 54. Suppose -s - 5*x + 162 = 0, -5*x = 5*s - k*x - 714. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4, 0.04, -12, -82, 2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 145. What is the greatest common factor of 36 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.4 - -6. Let l = y - -0.6. Let d = 1.2 - l. Is 0.3 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347738679 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 15 = -5*s, -5*s = 5*l + 24 - 49 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.059 + -0.05899918. What is u rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 21531.5414.\nAnswer: 21536.5414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l - 75. What is the tens digit of t(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -291, -286, -281?\n\"Answer: 5*c - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3096 and 1224?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 38. Let v = 1.4 + 8.6. Let l = n + v. Is l < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 5 - 7)*(-5*h + 6*h - 2 - 2*h).\nAnswer: -4*h - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*c = -12, -11 - 1 = 2*z + 3*c. What is the derivative of -2 + 1 - 6*a + z + 8*a wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*j, -2*y - 4*j - 8 = -y. Let z = 3.6 - 4. Which is the biggest value? (a) -4\/3 (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -7*k**2 + 4*k + 5. Let b(f) = -3*f**2 + 11. Let t(q) = -q**2 + q - 1. Let v(y) = b(y) + 5*t(y). Determine -5*i(c) + 4*v(c).\nAnswer: 3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40352338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 548500 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 5. Let i = -131 - -141. Calculate the least common multiple of f(i) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-1\/3)*g*g)**16)**(-17)*((g*g**(2\/9)\/g)\/g)\/(g\/g**(-1\/5))*(g**1)**(-31\/4) assuming g is positive.\nAnswer: g**(-213911\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/44*-3)\/((-27)\/36)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/35273 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-1) + 3\/(-12)*0. Let a = 12 + -7. Suppose -o - o - 58 = -a*g, i*g + 2*o = 38. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13412 + 10007. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/10 + (-67 - -63).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2715042 and 7962?\nAnswer: 2715042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-5))\/((-684)\/1710)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - (-31 + 79 - 33) - (-50 - (-5 + 4)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 8:32 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 - 5*a**2 + 4*a**2 + 2*a**2. Let r(k) be the third derivative of k**5\/30 + 4*k**2. Calculate r(t(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 262 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((3*sqrt(70))\/sqrt(7) - (sqrt(60)\/sqrt(3))\/sqrt(2))\/(-1*sqrt(720)*-3).\nAnswer: sqrt(2)\/18 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1226*f**3 + f**2 + 449. Let y(g) = 614*g**3 - 222. Let k(x) = 3*n(x) + 7*y(x). Find the third derivative of k(b) wrt b.\nAnswer: 3720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13131, -13121, -13113, -13107, -13103, -13101, -13101?\n\"Answer: -o**2 + 13*o - 13143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100101100101010 (base 2) to base 10.\nAnswer: -183082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 - 6*o + 28. Let p be c(5). Suppose -2*m = -3*q + p, -5*q - 70 + 209 = m. Suppose 2*r - q = -7. Solve -r*t + 4 = -9*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6122 times -38\nAnswer: 61.2636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 15*w**2 - 8*w - 7. Let s(h) = -h**2 + h + 2. Let z(q) = d(q) + 8*s(q). Let j(n) = -3*n**2 - 4. Calculate -9*j(y) - 4*z(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152501 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 239284144 divided by 4136\nAnswer: 57854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/5 + 5 + -5. Let d = -0.4 + 0.6. What is the closest to d in -1\/9, -3, o?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**3 - 5 + 3 + 2.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-1))\/(33\/(-440)*8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 20 + 2 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) 0.3 (c) 292 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/5 + 3517*p**2\/5 - 10544*p\/5 + 7028\/5.\nAnswer: -(p - 3514)*(p - 2)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5e4 (base 15) in base 16?\nAnswer: -53b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*-1*-4)\/(-2*sqrt(294) - sqrt(294)))\/(1*(sqrt(28)\/(1*sqrt(4)) + 1*sqrt(847))).\nAnswer: -sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47769.68 nanoseconds in milliseconds?\nAnswer: 0.04776968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 3*q + 83, q = 20784*l - 20785*l - 25 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s = 642*s - 71*s - 6611 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 56*y + 53*y = 104*y - 22, 0 = 4*k + 3*y + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587742 is divided by 377?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*x - 2 + 3 = 0, -x = -q - 3. Let v(s) = -4*s**2 + 2*s + 1. Let b be v(q). Let k(y) = y - y**3 + 3 + 1 + 2*y**2 - 7*y**2. What is k(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1 + (4 + 0 - 3)*(-4 + 1 + 2) + 0 + 0 + 2 + 12 + 9 - 9)*(d + 2*d - 2*d)*(-13 + 4 + 7 - 4*d**2 + d).\nAnswer: -48*d**3 + 12*d**2 - 24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j = 14*j + 150 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25881 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 44055847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-4)\/(-18))\/(1558\/123).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + f + 4. Let t be i(-3). Let v = 11 + t. Let c be (-24)\/(-9) - 4\/6. Solve v*l - c*q = -6, -l - 2*q - 19 = 3*q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2579, 6415, 12805, 21749?\nAnswer: 33247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, u: 2}. What is prob of sequence uup?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 5:10 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101406, 202812, 304218, 405624?\nAnswer: 507030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -c750c (base 13) to base 5\nAnswer: -42441333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1087.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)*g*g**(-3))\/(g\/g**(2\/3))**(2\/19) assuming g is positive.\nAnswer: g**(-458\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (92\/414)\/(22\/4719*13)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95.396*-3.\nAnswer: -286.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0085251 * 0.2.\nAnswer: 0.00170502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3947 is divided by 46.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351 and 897.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 - 48*v**2 - 22*v + 549. What is n(-23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 489.7314208 + 11\nAnswer: 500.7314208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 0*w + 3 + 2*w**2 - 2\/3*w**3. Find q, given that a(q) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(3)*1)**2 + (sqrt(162)\/sqrt(6))**2 + ((sqrt(63)\/sqrt(3))\/sqrt(7) + sqrt(3) + sqrt(3))**2 + 5.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-14))\/((-344848)\/3920 + 88).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*v - 10 = -30, 2*p + 2*v + 0*v + 6 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*(0 + ((sqrt(304) - -2*sqrt(304)) + 0 - (-5 + 1*sqrt(304)))))**2.\nAnswer: 768*sqrt(19) + 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-26)\/(-60) - 17\/51)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16538670 rounded to the nearest 10000?\nAnswer: 16540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 9*i + 9. Let b be a(-8). Solve -7 - b = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241244030 (base 5) in base 16?\nAnswer: 2edf15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 101*a - 107. What is the hundreds digit of s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0116962 rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 825*i**3 - i**2 + 108*i + 109. Calculate x(-1).\nAnswer: -825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156462879 and 2637.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(637) + 0)*6 - (sqrt(637) + 2*sqrt(637)*2 + sqrt(637) + 0))**2 + -2.\nAnswer: 206386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 12*c + 290 = 299, 2*v - 5*c = -0*v + 9 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 4*j + 110. Let o = j - -61. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3392 divided by -1696.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 5, -3*a = 2*b + a - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 2*z + 0*z - 2*z + 9*z + 3*z + (-2 + 0 + 0)*(z - 2*z + 2*z) + (-2 + 2 + 2*z)*(2 - 1 + 1))*(1 + 1 + 2).\nAnswer: 40*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 8*c**2 - 5*c + 6. Let w = 7 + -3. Suppose -76 = -5*i + w. What is the remainder when o(-8) is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074710 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by 64.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90 (base 15) to base 6.\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 137996910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 7*a + 2. Let v be g(7). Let m(y) = 2*y**3 - 2*y**2 - 3. Let i be m(v). Find the second derivative of -56*k + k**3 + 55*k - i*k**3 wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988715857?\nAnswer: 251, 1549, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 2:12 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 5*j**3\/3 + 100*j**2 - 420*j + 1067. Let i(m) = 0. Calculate m.\nAnswer: -42, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 57*t - 14. List the prime factors of w(6).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 + 7*i**2 - 4*i + 6. Let y(m) = -m**3 - m**2 + m - 1. Suppose -8*p - 4*p = -12. Let a(b) = p*u(b) + 5*y(b). Give a(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-98*p**3 + 472*p**3 - 26*p**3)*(1 + 3 - 3)*(3 + 3 - 9) as c*p + g*p**2 + b*p**3 + i and give b.\nAnswer: -1044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -202, -273, -322, -343, -330, -277?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 397993 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: Simplify ((l\/l**(1\/2)*l*l)**(-6\/17))**(-10) assuming l is positive.\nAnswer: l**(150\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.29724l to millilitres.\nAnswer: 23297.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 19*q**2 - 3*q + 27. What are the prime factors of n(-19)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 344495 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -68*y**2 - 255*y + 58. Calculate p(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**2 - 15*b - 2. Let g be q(10). Suppose -4*n = -g*c + 87, -2*n = -c + 9 + 12. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23548950 to the nearest 100000.\nAnswer: 23500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, d: 5, h: 6, e: 1}. Give prob of picking 2 w.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + m + 53768 = 0. Let n = -2027 + m. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/41 + 2117\/1107. Calculate the common denominator of u and 80\/33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - l + 13, -3 = -5*i + l + 2. Suppose 5*x + t - 13 = 0, -3*x - 2*t + 35 = 16. Put 5, i, 17, x in ascending order.\nAnswer: x, i, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -40*s + 16\/3*s**3 - 3 - 14*s**2 + s**4. Factor z(c).\nAnswer: 4*(c - 2)*(c + 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 25023?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*i**2*k*m**2 - i**2*k + 15644523*i**2*m**3 - 4*i*k*m - i + k*m**3 - 6*k*m - 82*k + 95*m**2 wrt m?\nAnswer: 93867138*i**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 - 10*q**2 - 11*q + 6. Give j(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 10 = -4*p, -6*p + 4*p - 4 = -4*f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 148014017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, k: 2}. Give prob of sequence klkl.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7070760 and 1620.\nAnswer: 21212280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 456341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 396 + -1.87\nAnswer: 394.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 109 = 119. Let a be (-1 + z\/18)*-9. Factor 0*o + 2\/5*o**2 - 2\/5*o**4 + 0*o**a + 0.\nAnswer: -2*o**2*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91 + (16 - (6 - -25)) - (0 + -4)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 - 19*z**4 + 30*z**3 + 76*z**2 - 136*z.\nAnswer: z*(z - 17)*(z - 2)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103283 - 71426. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26*(-66)\/1144*((-12)\/(-22))\/3\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 19 = -39 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4233 and -0.5?\nAnswer: 2116.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h + h)*((-1 + 2 + 2)*(3 + 1 - 2) + 1 + 0 + 14 + (0 + 6 - 4)*(-1 + 0 - 1)).\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2042400 to the nearest ten thousand.\nAnswer: 2040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 700657 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: Solve -12424*g + 28 = 11*l - 12421*g, -l + 2*g - 2 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 141383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16, 22, 38, 70, 124, 206, 322, 478?\n\"Answer: l**3 - l**2 + 2*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*c - 7. Suppose 0 = c*a + v - 567, -a - v = -2*v - 148. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -27688028\nAnswer: -16612816.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -107270 divided by -53635?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from qqjcjccqcqc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/(-62))\/((-27)\/6).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6104130 and 7410.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 92841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 + 204 = -2*t. Let k = 10 + -7. Solve 11 = -4*z + 2*w - k*w, 4*w + t = 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 + f**2 + 2*f**2 - 3*f**2. Let v(c) = 3*c**2. Give p(v(a)).\nAnswer: -27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = 5*a. Let k(c) be the first derivative of -1\/5*c**5 - a + 0*c**4 + 0*c + 0*c**3 + 1\/2*c**2. What is the second derivative of k(f) wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7538 - 7535. What is the nearest to 1 in 8, w, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -2 + 0*m + 4\/5*m**5 - 5\/4*m**4 + 0*m**2 + 2\/3*m**3 - 1\/6*m**6. Factor s(t).\nAnswer: -t**2*(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*f - 5*f, -4*f - 20 = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/13? (a) 0.3 (b) 12 (c) 2\/13 (d) -0.3 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1197.\nAnswer: 1\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16610795 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 s, and 1 u when four letters picked without replacement from uggglufgsfgggffffgfs.\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2213 - 1259. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 736979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -61*g + 2. Let u(c) = 1381*c - 3. Calculate b(u(r)).\nAnswer: -84241*r + 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -237 - -276. Let f = w - 39.00000136. Round f to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 13 - 11 - 13 + 2*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*d - 2\/3*d**2.\nAnswer: -2*d**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 times 817860?\nAnswer: -139036200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 245\/(-30) - (-3)\/18. Let t(u) = u**2 + 5*u - 27. Let i be t(p). Suppose -10 - 10 = 5*l. Is i at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -531051?\nAnswer: 212420.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**3 + 636*t**2 - 32621*t - 2566074 = 0?\nAnswer: -42, 107, 571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from siisqsg. Give prob of picking 1 g and 1 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 15. Suppose m - 4 = 1. Let b be -5*(-3)\/(-15)*-3. Solve 0 = -m*z - k + 10, -b*z + 8 = n*k - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2641 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/3 - 29962*i**2\/3 + 16211420*i\/3 - 21455472 = 0. What is i?\nAnswer: 4, 558, 14419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4688*q - 5641*q - 6288*q - 1.\nAnswer: -16617*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**0\/f))**(-18)\/(f\/(f**(1\/3)*f))**42)**(1\/4) assuming f is positive.\nAnswer: f**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-616)\/924)\/(8\/132)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 1:58 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -40. Calculate the smallest common multiple of 10 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) 4 (c) -6\/163 (d) -1\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22507367 to the nearest integer?\nAnswer: 4744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, f: 2, s: 2, q: 1, l: 2}. Give prob of picking 2 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*k = 47*k - 2849031. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + sqrt(125)*-1 + sqrt(125))*-6 - ((-1*sqrt(125)*5 - sqrt(125)) + sqrt(125)))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Suppose 6 = 3*g, -3*t - 5*g + 23 = 148. Let a be 2*(1 + 48\/t). Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174241 - -174343.961. Round t to 0 decimal places.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + h - 4*h)*(4*h**3 - 4*h**3 + 2*h**3) - 3*h**4 + 2*h**4 + 7*h**4.\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -161, 4?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*g - 5*s = -15, -2*s = 3*g - 20. What is the highest common divisor of g and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 14*y**2 + y - 23. What is g(14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*b - 17 = -0*b, 3*b = -3. Suppose w*t + 2*t = 42. Solve -t - 3 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 9 (c) 75 (d) -0.4 (e) 16 (f) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112031 is divided by 1112010.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -143900945 * -0.5.\nAnswer: 71950472.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/57285 and -47\/45?\nAnswer: 57285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4973813.\nAnswer: 13, 382601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 2)*(-3*l + 2*l + 3*l) - l + 2*l - 3*l + 7*l + 6 - 6)*(l**3 - 2*l**3 + 2*l**3).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4781085139 to the nearest 1000000.\nAnswer: -4781000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/1034 and 41\/924.\nAnswer: 43428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/l**26)*(l**(1\/19)\/l)\/l assuming l is positive.\nAnswer: l**(457\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**5 - 31*b**4 + 5*b**2 + 1831*b + 6?\nAnswer: 20*b**3 - 372*b**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -8. Suppose 5*s = p + 3, k*p + 6*s - 2*s = -9. Is p*3\/(18\/(-8)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 5*s + 20, 0*n - 3*n + 4*s + 23 = 0. Let d = n - 2. Let k be (-30)\/3 - (-1 - d). Round k to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 19. Let x(z) = -z**3 - 7*z**2 - 7*z - 3. Let u be x(-6). Calculate the highest common factor of u and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5577 - -5572. Which is the second biggest value? (a) 0.03 (b) f (c) 502\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.085363108 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -66393645 rounded to the nearest 1000000?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4297869090 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -16*h**2 - 44*h. Give i(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from iyyyyoi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2339898 and 4719.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3 = -j - 18, -25 = -3*j + 2*m. What is the second biggest value in 0.4, j, 1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/(136\/64 + -2). Let o = -2524\/7 + y. Let h = -0.3 - 0.7. Sort h, o, 4, -2\/9.\nAnswer: h, o, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 7. Suppose 4*n + 3*v + 16 = 0, -2*n + 3*v = 8*v + 22. Let a(p) = -p. Let m(q) = n*w(q) + 3*a(q). What is m(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 30 = -5*v. Let y = -14 - -18. Suppose 0 = 4*p + y, -4*n - 2*p + 12 = -v. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 4 + 4 + (-5 + 81 - 45)*(-3*t + t + t) + (5*t - 9*t - 5*t)*(-1 - 5 - 1) in the form y*t + i and give y.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036107 at least as big as 1036100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2*2*3. Suppose s - 4 = b*a, 5*s - 3*a - 36 = -4*a. What is the third derivative of 3*q**5 + 3*q**2 - s*q**5 - 1 + 1 wrt q?\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 10*d - 11. Let k be w(-13). Differentiate -21*q + 17*q - 44*q + 180 - k*q - 16*q wrt q.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79 - -49. Let d = -35 - v. What is the closest to 6 in d, 2\/9, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 4 - 4)*(0 + 0 - 2) + (1 + 1 - 4)*((7 - 4 - 1)*(2*o + 4 - 4) + 13 - 13 - 5*o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16224057 (base 9) to base 14\nAnswer: -111001d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*f**2 - 18823241*f - 2352905.\nAnswer: -(f + 2352905)*(8*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3318895 by -54.\nAnswer: 3318895\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -5 (c) -1.2 (d) -7\/3 (e) -5\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 129 and 18\/29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3158 - -3184. Let s(u) = u**2 - 26*u + 5. Calculate s(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 610 (b) -6\/11 (c) 0.4 (d) 2\/11 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1872, 1719, 1312, 525, -768, -2693, -5376, -8943?\n\"Answer: -21*f**3 - f**2 - 3*f + 1897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6187569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**2*s**4 - 27*r**2*s + 540*r*s**2 + 568*s**4 wrt s?\nAnswer: -72*r**2*s + 13632*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(20)\/(-2*sqrt(100))*4.\nAnswer: -2 - 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -460 - 35361?\nAnswer: -35821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - m)*(9 - 13 - 23)*(-1 - 3 + 2).\nAnswer: -54*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 12*u + 4. Let v = 49 - 59. Let r(q) = q**3 + 10*q**2 + 2*q + 28. Let i be r(v). Let l(t) = 35*t + 11. What is i*o(g) - 3*l(g)?\nAnswer: -9*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - 10. Let l = 42 + j. Solve 0 = 3*r - 7*r - x - l, 5 = 5*r - 5*x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 92*n**2 - 88*n + 24. Is 72 a factor of w(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6\/19)*v**(1\/36)*v**(-33)*v*v**(-3\/5))**(-11) assuming v is positive.\nAnswer: v**(1237247\/3420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 3408, 2, -344, -4 in descending order.\nAnswer: 3408, 3, 2, 0, -4, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 - q - 4. Let u be k(2). Let i be 1*-2*1 + 19. Let x(o) = -7*o**2 + 7*o - 2. Let a(t) = 20*t**2 - 20*t + 6. What is i*x(h) + u*a(h)?\nAnswer: h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j = 19*j - 29*j + 19332. What is the remainder when j is divided by 210?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = -2, 2*f = -2*q + 110. What is the tens digit of (1 - 7234\/(-18)) + f\/459?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5241479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -47, -88, -129, -170, -211?\n\"Answer: -41*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 2:29 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 242886.5 nanograms in milligrams?\nAnswer: 0.2428865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1111203019?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*z**3 + 8*z**3 - z + 4*z**3 + 3*z**4 to the form j*z**3 + g*z**2 + u*z**4 + d*z + m and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3 + 0.8. Let f be (16\/7 - (-34)\/(-119)) + -6. What is the nearest to 0.1 in w, f, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35165870 bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2688*w**2. Let s(h) = 546*h. Calculate r(s(y)).\nAnswer: 801335808*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -77?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -k + 15. Suppose 0 = -3*i - 2*i + 10, 5*i - 1070 = 5*v. Let t = v - -215. Solve -2*m = l + l + 16, k*m = t*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -6, 2*m = 5*m - 5*u + 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21864707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdbwdtdxbbtbwbxdb. Give prob of picking 2 d and 1 w.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012558929 rounded to five dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4234.1 times 3?\nAnswer: -12702.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 + 6*s**2. Let u(k) = 18*k**3 - 38*k**2 - 2. Determine -6*h(c) - u(c).\nAnswer: -30*c**3 + 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - -7)\/(2\/2). Suppose 3 = -2*k + 3*a, k + a + 2*a - 21 = o. Solve k*z = z + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401551986 to the nearest integer?\nAnswer: 20039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.36338g in micrograms?\nAnswer: 23363380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173736 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*u + 63*u = 104*u + 498240. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < 1047452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 879*v**2 - 880*v.\nAnswer: v*(v - 1)*(v + 880)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 718 - 711. Solve 0 = -q + g*q + 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, d: 5}. What is prob of sequence od?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92301245*j**4 - 2*j - 2079385 wrt j?\nAnswer: -1107614940*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**3\/g*g))**(1\/5)\/(g\/(g\/(g*g**8))*g**(1\/5)) assuming g is positive.\nAnswer: g**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + q + 1 + 0 = 0, 4*o = 2*q + 8. Let -3\/2*l**2 + 0 + o*l = 0. Calculate l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 e when three letters picked without replacement from eepeeppeep?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 11:50 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2607 and 9130.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*x - 14 = 2*k, -5*k + 5*x + 40 = 0. Suppose -47 = k*t - 23. Put -2, t, 5 in descending order.\nAnswer: 5, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*i**2 + 1 + 5*i**2 - 2*i**2 to the form n*i + t*i**2 + p and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 2, x: 1, v: 1}. Give prob of sequence mxb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42, 85, 128, 171, 214, 257?\n\"Answer: 43*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, p: 1, j: 1}. What is prob of picking 2 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b - 1. Let k be c(-1). Let l = k + -2. Is (50 - l - -2)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260157*g**2 - 11658*g**2 + 402832*g**2 - 143769*g**2.\nAnswer: 507562*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2. Suppose 4*m + 5 = 13. Let i be (-56)\/(-9) + m\/(-9). Let z(y) = 3*y - i + 6. Determine z(a(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -11, -4, 0 in increasing order.\nAnswer: -11, -4, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11071.1 - 1694.1. Let r = 9376.99994831 - k. What is r rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0211549 rounded to 3 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a + 10. Let q(z) = 3*z. Let i(b) = 4*b. Let k(s) = a*q(s) + 4*i(s). Let v be k(-5). Sort -3, v, 5 in ascending order.\nAnswer: v, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.9 + 2.9. What is the nearest to c in -1\/6, -0.5, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*w - 22 = 0, -w + 23 = -0*h - 3*h. Let k(i) = -i**2 - 8*i - 5. Let r be k(h). Suppose -r*z = 11 - 3. What is the closest to -1\/2 in 3\/7, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6524 + 12405 = -u, -75736 = -4*s + 14*u. List the prime factors of s.\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 511.54807 to 1 decimal place.\nAnswer: 511.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + u**2 + 2*u + 11. Let a be i(0). Suppose 4*y - 1 = a. Let b(c) = 5*c - 7*c + y*c. Let m(t) = -t. Determine m(b(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5052576?\nAnswer: 2, 3, 52631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 1, u: 1, l: 1, g: 1}. Give prob of picking 1 h and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Suppose -v*g + 5*g = 8. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61529842 divided by -12034.\nAnswer: 5113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -17*l**2 + 5*l + 13. Let p(g) = -17*g**2 + 6*g + 12. Let m(d) = -6*j(d) + 5*p(d). Differentiate m(z) with respect to z.\nAnswer: 34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10313134 (base 5) to base 10.\nAnswer: -88544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 326*i**2 + 3. Let o(t) = -4*t**2. Give o(b(j)).\nAnswer: -425104*j**4 - 7824*j**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(75) + 0))*-6)**2 + (3*sqrt(3888))**2 + -4 + -2.\nAnswer: 36714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is -2122 (base 7) in base 6?\nAnswer: -3251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 21*q + 4 - 3*q in the form b*q + p and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flflfjkfjflf. Give prob of sequence jf.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 - -0.01021887386?\nAnswer: -359.98978112614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwhhhwhwwwwwhhwwwww. What is prob of picking 2 w and 1 h?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43952144557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*x + 12, 3*x = x + 5*y - 18. Let g be x*(5 + -1) - -2. Suppose -3*r = -r - g. What is the greatest common divisor of r and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q + 71. Let r be d(-17). Suppose 4*y + j - 191 - 102 = 0, -2*y = -r*j - 157. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/6)*u)**(-23)\/(u**28)**(13\/3) assuming u is positive.\nAnswer: u**(-751\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/22399 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3935 + 3939. Put -26, -2, z, -4 in decreasing order.\nAnswer: z, -2, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {y: 2, n: 7, e: 3, q: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -1055554?\nAnswer: 1100003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 m when three letters picked without replacement from mccmmhchhmchjffm.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.5 + 16.57. Let b = 105279 - 105280.070007. Let c = j + b. What is c rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/5 + 22*s**4\/5 - 6*s**3 - 14*s**2 + 28*s\/5 + 48\/5 = 0. What is s?\nAnswer: -12, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 - 3*s + 1. Calculate b(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21489048521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635312502?\nAnswer: 2, 3, 11, 443, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**3 - 4*h + 3. Give d(2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 713 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(45) - -6*sqrt(180))\/(sqrt(1296) - -1*sqrt(1296)).\nAnswer: -13*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 938588265 to the nearest integer?\nAnswer: 30636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(495)*2)\/(-1*sqrt(320) - (sqrt(55)*2)\/sqrt(11)).\nAnswer: 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -156665.3 and -78.\nAnswer: 12219893.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 97, 14554 in increasing order.\nAnswer: 1, 97, 14554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101100110000101001001 (base 2) to base 14.\nAnswer: -105d45b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1108 and 0.2?\nAnswer: -221.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -398*z + 393*z. Which is smaller: 1\/67 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1. Let y(h) = -4 + 24*h**2 - 48*h**2 + 24*h**2 - 5*h**3. Determine -4*c(l) + y(l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.346724 * 21\nAnswer: -7.281204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16, -9, -50, -107?\n\"Answer: -8*n**2 - n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**2 + 7*h + 11. Let a(x) = 3*x**2 - 3*x - 5. Determine 5*a(b) + 2*g(b).\nAnswer: 3*b**2 - b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*o**3 - 32*o**5 + 68*o**5 - 33*o**5 - 33*o**4 + 108*o**2.\nAnswer: 3*o**2*(o - 6)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -169*u**4\/4 - 386815*u**3\/2 - 885240997*u**2\/4 + 68109195*u - 5239521.\nAnswer: -(u + 2289)**2*(13*u - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28.8 + 0.8. Let i = 27.6 + l. Let g = -77\/85 + 12\/17. Which is the closest to -2? (a) -1 (b) g (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26428, -54348, -82280, -110230, -138204, -166208, -194248?\n\"Answer: -r**3 - 27913*r + 1486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -225.8636 - 2.1364. Which is the closest to 0? (a) -0.1 (b) 0.3 (c) -2 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100011110111100011101 + -101?\nAnswer: -11100011110111100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1420414 (base 5) to base 7.\nAnswer: -151650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -25*t - 15. Let w be m(-13). Let b = w + -111. What is the derivative of -b*h**4 + 1 + 101*h**4 + 102*h**4 wrt h?\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 2)*(71*n - 267*n - 463*n) + (n + 2*n - 2*n)*(0 + 3 - 5).\nAnswer: 1975*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -341\/2 + 4917\/26. Find n such that 2\/13*n**2 + o + 44\/13*n = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98690 + 20016 - 2*k**3 - 18376.\nAnswer: -2*k**3 - 97050","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 3:59 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 16. Which is the nearest to 1\/2? (a) -1 (b) q (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-210)\/(-190) + (0 - (1 + 0)). Let m = -2.7 + -0.3. Let b = m + 0. Sort b, 0.1, k.\nAnswer: b, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-32)*18*4\/(-6))\/(-3)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35738 - 35745 - 2*d**2 + 46*d + 66*d)*(0 - 2*d**3 + 0).\nAnswer: 4*d**5 - 224*d**4 + 14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33760, -61238, -88722, -116212, -143708, -171210?\nAnswer: -198718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2802*w**2 - 2802*w**2 - 46*w**3.\nAnswer: -46*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1570573 + -20?\nAnswer: -1570593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 11:03 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -216.999999985 + 217. What is v rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -2\/5 (c) -0.21 (d) 1123 (e) -3 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, 3, -4, 5, 10 in decreasing order.\nAnswer: 10, 5, 3, -4, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47422*j**2 - 47013*j**2 + 94431*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 9. What is the highest common factor of f and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84180 by -61.\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 63*t**3 - 21*t - 82. Determine r(-3).\nAnswer: -1720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 478 - 434. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4813 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2667, -3, -2, -5 in decreasing order.\nAnswer: 2667, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0)\/(2 + (-3)\/(63\/39)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32\/7? (a) -9 (b) 1\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 158 in 1, 6, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/81 in 0.2, 4, -0.09, -278\/11?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1004 - 553. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 273, 4, -179, -1, -2 in descending order.\nAnswer: 273, 4, -1, -2, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -51 (c) -9\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4 - 10 = 0. Sort -3, 2, b in descending order.\nAnswer: 2, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18266.541 to the nearest 10.\nAnswer: 18270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 64\/20 + (-2)\/10. Suppose -21 = 3*x - 6. Sort x, n, -3 in increasing order.\nAnswer: x, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 2:33 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -148*234\/(-14430)*45\/2\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122221021 - 11?\nAnswer: -1122221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -3)*(17 + 1). Suppose 0 = -4*x - n - n + 40, q = 3*x + 3*n. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v - 6. Let m(y) be the first derivative of 2*y**2 + 5*y - 21. Calculate -2*i(r) - 3*m(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 3*k + 4. Let g be 1\/2*6 + 19. Let m be g\/5 - 2\/5. Let b be u(m). Solve 5*d - 12 = 4*o, b = -3*o + 6*o + 3*d + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -107? (a) 3 (b) -0.1 (c) 155\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17541461 and 392.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/15906 and -161\/10296.\nAnswer: 2481336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (378\/49 + -8)\/(18\/(-2 - -5)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(2\/2)*-14. Suppose -140 = -3*i + y. What is the highest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4668 or 1\/15?\nAnswer: -4668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -247 - -456. Calculate the highest common divisor of 19 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 4732?\nAnswer: 14196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (7 + -17)) + -31 + 36\/12?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 34 + 14. Calculate the greatest common factor of c and 190.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.161, 13\/2, -1.1, 56?\nAnswer: -0.161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 418\nAnswer: -1\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*h**3 - 8*h**3 + 10*h**3)*(4*h**2 - 111 - 6*h**2 + 390)*(0 + 2 + 1).\nAnswer: -60*h**5 + 8370*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -18, -26, -34, -42?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43269379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -16 - 70 + 9*t + 46. Let a be p(5). Suppose -a*s = -2*s + 5*c - 904, c - 1177 = -4*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011020373337 to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -48141.309 rounded to the nearest 10?\nAnswer: -48140","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 8076 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 5*q - 1, 17*l + 41 = 12*l + 7*q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2840 from 0.3.\nAnswer: -2839.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-26 - -29) + (0 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12222 + 12224. Solve -2*o + 4*o + 2*l = 2, 8 = p*l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 53*c + 701. Determine n(-12).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 466220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/11? (a) 0 (b) -1 (c) 5\/2111 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/2)\/(i\/(i\/(i\/(i\/(i*i*i\/((i\/(i**(2\/5)\/i)*i)\/i)))))))**18*(i**(-1\/7)*i\/(i*((i*i*i**(1\/5)\/i*i)\/i)\/i*i*i)*i)\/(i**0\/i**(-4)) assuming i is positive.\nAnswer: i**(-124\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 462231 and 396.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -4 in increasing order.\nAnswer: -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -636 - -642. Let w = 11 + -3. Let y = 2 + w. Calculate the remainder when y is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -30*p**2 + 39*p + 10. Calculate q(4).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8838303 divided by 1.\nAnswer: 8838303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 108*c + 106. Let a be q(-37). Let n = a - -5466. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 925834562 to the power of 1\/4, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12322518 is divided by 232498?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79049943286 - 0.4.\nAnswer: 79049943285.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 2*t - 229, 3*h - 5*t + 156 = -0*h. Let n = -327\/7 - h. Solve 0 + 2\/7*o**2 + n*o = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 - 5*m**2 - 2*m**2)*(-8*m**2 - 69*m + 69*m + (m + 15 - 15)*(2*m - m + m)).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (510\/(-50))\/((-1371)\/(-11425))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3948*j**3 - 1977*j**3 - 1973*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -79.\nAnswer: -78.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-756)\/405*4*15\/(-80).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, 0, 0.1, 357, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 3*r + 48, 840 - 42 = 3*r + 89*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**2*l*z**2 + i**2*z**4 - i**2*z**3 - 9*i*l**2*z**3 - i*l**2*z**2 + 21*i*l**2 wrt z.\nAnswer: 24*i**2*z - 6*i**2 - 54*i*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43671 (base 15) to base 11.\nAnswer: 13692a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 5*b - 5*u - 20 = 0, 12 = -4*b - 3*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2824 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p + 14*p + 8*p + 2*p in the form h + d*p and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*((-2*((-5*sqrt(104) - sqrt(104)) + sqrt(104)))\/sqrt(8) + (sqrt(468) - (-1*(-3 + sqrt(468)) + sqrt(468)))**2).\nAnswer: -52*sqrt(13) + 953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + s + 4 = 0, 2*k = -s - 3*s + 4. Differentiate 4 - 3 - 2*l + l**k + 2*l wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-181182.\nAnswer: 72472.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/207 and -15?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-4))\/((-76)\/(-8))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*q**2 - 17*q**3 - 145 + 59 - q + 83 in the form l + z*q**3 + i*q**2 + f*q and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 6*t = 24. Let j be 7\/28 + 54\/8. What is the second derivative of k - 6*k + j*k - 33*k**t wrt k?\nAnswer: -198*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -4)\/((-1)\/(-17)). Let y = 27 + c. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 692527854.\nAnswer: 2, 3, 9839, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5 - 159*p**4 - 1731*p**3 - 7125*p**2 - 11550*p - 6000 = 0. What is p?\nAnswer: -40, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12624 - 3654 = -3*v + 4*f, 2*v = 12*f + 10880. What is the remainder when v is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.2 + -0.9. Let s = z + -4.96. What is s rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 17*p**2 - 5*p - 151. Is o(15) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1057166 + 20?\nAnswer: -1057146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3 + (-4)\/6. Let z = 710 + -1368. Let f = z - -3279\/5. Which is bigger: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -154*l**2 + l. Let b(a) = 35*a - 5. Give b(z(i)).\nAnswer: -5390*i**2 + 35*i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r - 4. Let m = 5 + -3. Suppose -m*j + 13 + 5 = 0. Is h(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2*sqrt(13) - sqrt(13)) + 1 + 5 - (((sqrt(325))**2*-2 - sqrt(13)) + 0)).\nAnswer: -2*sqrt(13) + 657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j + 59. Let l be m(11). Solve 0 - 1\/2*z**2 - z**l + 0*z - 3\/2*z**3 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -7*z**4\/24 - 13*z**3\/6 + 4*z**2 + 2. Let p(w) = 4*w + 7. Determine -3*a(f) - 5*p(f).\nAnswer: f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 36*b - 51*b - 10 - 36 + 47 to the form i + c*b and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 6*j + 10. Let p be u(4). What is the greatest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-36) - (-187)\/(-2652)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 23*c**3 + 3*c**2 - 3. Let p be t(2). Suppose 3*l + 2*n = -2*l - p, -l - 5*n = 34. Let j = -11 - l. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 5*j + 25 = -7*p, -2*p - j = 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + (-19 - (-1222)\/47)*2\/(-2).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 9 = q. Suppose -2*i - 2 = -3*i. Solve 0 = -5*y - 3*b - 20, -i*y - y + q*b - 12 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 5 + 0*q**2 + 0*q - 1\/3*q**3. Let j(l) = 3*l. Calculate z(j(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 4*w**2 + 0*w + 1\/24*w**4 - 1\/2*w**3 + 0. Let g(z) = 6*z - 16. Determine -2*g(i) + 11*j(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*w**3 - 24 + 11*w**3 - 35 - 12*w + 18*w**4 + 12*w as b + d*w**3 + c*w**4 + l*w**2 + p*w and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 14*v - 6. Let p(z) = z**2 + 13*z + 5. Let i(g) = -5*m(g) - 6*p(g). Suppose -2*n = 9 + 5. Does 3 divide i(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -3*w**2\/2 - 35*w + 41. Let v(z) = z + 2. Let o(p) = k(p) + 5*v(p). Let m(u) = -u**2. What is o(m(d))?\nAnswer: -2*d**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*u**2 + 1058 - 1058.\nAnswer: 249*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 12) in base 15?\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 46 and 0.02472827.\nAnswer: 1.13750042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1389961 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37788 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 7 (c) 7.435 (d) -4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emeemdf. Give prob of sequence ed.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -5) + 3 + -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*u - 18. Is 593 - ((-52)\/16 + 2)*u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(8) + 0)*1.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 112*d**2 - 2*d + 1. Let b be a(-1). Let c be 114\/42 + (-2)\/(-7). Calculate the remainder when (b\/10 - 3)*(c - 1) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11107287 by 86103.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2. Let s(d) = 270*d**2 + 25*d - 3. Give s(h(c)).\nAnswer: 6750*c**4 + 125*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 6 = -3*o, 3*x + 0*o = 2*o + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -2. Suppose 0 = 2*g - x*w + 2*w - 20, -4*w + 4 = 0. Let z(k) = k - 7. Let h be z(g). Solve -30 = h*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.024, -20, 4, 8\/105 in ascending order.\nAnswer: -20, 0.024, 8\/105, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**6\/360 + a**5\/24 - a**4\/2 - a**3\/3 + a**2 + 23*a. Let k(v) be the second derivative of l(v). What is k(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 14*t + 1. Let b be y(14). Let j be 3\/((81\/198)\/(6*b)). Suppose -4*r + j + 40 = 0. Calculate the highest common divisor of r and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*h - 23*h + y - 2, 4*y = 14*h - 64 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**3 + 54*q**2 - 53*q + 1. Determine p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 54*m - 48*m. Sort m, 1, 485.\nAnswer: 1, m, 485","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f - 75. Let n be r(-8). What is the units digit of 92 - (3 - (3 - n))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16818398575 - 16818481166.00053. Let k = l + 82656. Let b = 65 - k. Round b to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -31723?\nAnswer: -666183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1472 + 4846. Is 112 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 21 = 15. Is 4 a factor of (-260)\/5*q\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4825 - 4893 = r, 0 = 5*r + 5*n + 70 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 36, 44, 66, 108, 176, 276?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3)\/v**0*v**4*v*v*v*v\/(v*v\/(v**(-1)*v)))\/(v**9\/v*v**(1\/8)*v*(v**2)**47) assuming v is positive.\nAnswer: v**(-801\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -879637.\nAnswer: 4\/879637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 30. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2913 - 563 = 2*g - 5*w, g + 2*w = 1157. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/264 and -35\/69?\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-15))\/(-4)*9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6891.\nAnswer: 3, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 47 + 5?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 11. Suppose -5*f = 3*q - 165, -f + x*q - 4*q = -41. Solve 5*s - 16 = -f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -1 - 83*t - 17*t + 211*t**2 + 100*t. Let b(o) = 2*o. Determine g(b(f)).\nAnswer: 844*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 8:23 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15, 1339, 4981, 12099, 23851, 41395?\n\"Answer: 193*y**3 + y**2 - 30*y - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 422321738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/3 - o**3 - o**2 - o\/3.\nAnswer: -o*(o + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40.8 + 7.8. Let b = -32.9993 - z. Round b to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12705 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-1\/3)\/d)\/(d*d**(-4\/7)))\/((d\/(d\/d**(-1\/5)))\/((d**(2\/7)*d*d*d*d*d)\/d)))\/(d**(2\/7)\/d*d**(-3)*d*(d**(1\/9)\/d)\/(d\/d**6)) assuming d is positive.\nAnswer: d**(733\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 290 - 143. Let v = 146.999952 - q. Round v to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -5. Suppose -o + f = 3*o. Suppose -o*z - 1 = -11. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 20 = -5*a, 2*z + 0*a + a + 4 = 0. Let i = -4959 + 4963. Sort z, i, -0.01 in decreasing order.\nAnswer: i, z, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**1)**38)**(-2) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/31 in 0.5, 13, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 + -1.3. Let f = -1.9 - 0.1. Let i(z) = z + 2. Let r be i(-2). What is the nearest to r in f, -1\/7, g?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596864.\nAnswer: 2, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + 5872\/(-224) - 3\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 4*l - 30.\nAnswer: 2*(l - 3)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 471*t + 15530. Determine o(-34).\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 72, 77, 82?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*j - 32*j - 7777 = 110*j - 21497 for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**3 + 37*q**2 + 18*q + 103. Determine a(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 24 = -2*x. Suppose -4*w - 3*i = -27, -4*i + 23 + x = 3*w. What is the highest common divisor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 3. Let o be j(-6). Let v(a) = -a - 1. Let t be v(o). Solve -t = q - 0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)\/(d\/(d*d**(-5)\/d)))\/(d**1*d**2\/d)*(d**(-2\/7)\/d**(-1\/2))**(17\/5) assuming d is positive.\nAnswer: d**(-859\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 5*v**2 - 7*v - 5. Let s be c(6). Let t = s + 18. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m + 65. Let s be h(-16). Suppose 1 - s = -12*j. Let g(d) = -d**2 - d + 25. Calculate g(j).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55362.01 + 55362. Let m = -2.9 - -3. Let c = m - 0.3. What is the biggest value in c, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (-3)\/(3\/5). Let b(r) = -r**3 + 5*r**2 + 7*r - 1. Let a be b(c). Suppose 0 = f - 23 + a. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8876*o**2 - 3. Let n(x) = 1665*x**2. What is y(n(v))?\nAnswer: 24606269100*v**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27*(-1 + (-5)\/(-3)). Let z = g - 14. Let u(x) = x**2 + 4*x - 2. Let i be u(z). Solve 3*o + i = 3*k + 2*k, 5*k - 20 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4013, -16021, -36027, -64025, -100009, -143973, -195911, -255817?\nAnswer: -323685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11490246.\nAnswer: 2, 3, 638347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 9*b**2 - 14*b - 3. Let z be h(6). What is the highest common factor of z and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 9. Is c(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -73, -3, -8\/45, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 925984*c**3 - 1731429*c wrt c.\nAnswer: 5555904*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(270))\/(sqrt(6) + sqrt(60)\/(sqrt(90) + sqrt(10))))**2.\nAnswer: 5184\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**5\/180 + g**4\/36 - 5*g**2. Find a, given that r(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -93 and 13.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47778872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 bigger than 588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -83, -174, -273, -386, -519, -678, -869, -1098?\n\"Answer: -m**3 + 2*m**2 - 90*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*j + 18 - 21*j + 6)*(-j**3 - 5*j + 5*j).\nAnswer: -2*j**4 - 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**3\/3 - 1068304*n**2\/3 + 3204996*n - 6410040 = 0.\nAnswer: -267085, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 30, -2*b - 32 = 10*w - 6*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*q - 110, 34 = 2*j + 5*q + 4. Suppose -j*s = -17*s - 903. Which is bigger: s or 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410086 divided by -4?\nAnswer: -205043\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**4 + m**3 + m**2. Let a(c) = -3*c**4 + 5*c**3 - 19*c**2 + 17*c - 6. Let r(o) = 2*a(o) + 4*y(o). Factor r(z).\nAnswer: -2*(z - 3)*(z - 2)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m - 64. Let k be o(11). Solve 0 = -20*d + k*d - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 29 = 2*j. Suppose -3*o + 2 + 42 = -5*z, 2*z = j*o - 86. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i - 6 - 5*i + 0*i**2 + i**2. Suppose -5*f + 46 = -4*a, -5*f + a - 12 = -46. Calculate the remainder when f is divided by y(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**4\/2 + 37*c**3\/2 - 169*c**2 + 136*c + 1104 = 0.\nAnswer: -2, 4, 12, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = -5*l. Let p(g) = -3*g - 9. Let a(u) = 10*u + 28. Let t(m) = -2*a(m) - 7*p(m). Determine t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/6)\/(-3))\/((-6)\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*x - 14*x + 25*x + 32*x - 13*x to v + i*x and give i.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 18 = -0*r. Suppose -3*u + 18 = 3*q, 3*u - r = -0*u + 3*q. Let k(g) = -g**2 - 15*g - 10. Let w be k(-14). Solve -u*s = w - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/28 and (60\/50)\/((-30)\/(-16) - 2).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.2 + -39.3. Let b = -25 - o. Let c = 47\/4 - 12. Which is smaller: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9)*v*((v*v**12*v)\/v)\/v*v**2*v\/v**4)**(5\/3) assuming v is positive.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 8 - -26) + -14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -723.4 + 723. What is the nearest to -0.6 in 5, 3\/2, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4839.666, -9, 0.4 in decreasing order.\nAnswer: 0.4, -9, -4839.666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 20*g**2 - 27*g + 20. What is the units digit of r(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -760, -1486, -2212, -2938?\n\"Answer: -726*t - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a*s**2*t**2 + a*s**2*t - 2*a*s*t**2 - 7*a*t**3 + 13*s**2*t**3 - 4*s**2 - 69*s*t**2 wrt t.\nAnswer: -42*a + 78*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/n)\/(n\/(((n\/(n*n\/n**7))\/n)\/n))*(n*n*(n*n*n*n*(n\/(n\/((n\/(n*n**(1\/5)\/n)*n)\/n*n*n)))\/n)\/n)\/(n**(-3)\/n) assuming n is positive.\nAnswer: n**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10591615 or 10591618?\nAnswer: 10591618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -156 - (-119)\/(-7))\/1.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, 0.5, 1\/4, -340?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 2*a. Determine q(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*n = 2*n + 148, 0 = -r - 2*n - 27. Let a = 40 + r. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (3*(-1 - 0) + 3). Find the third derivative of 5*d**2 + 0*d**2 + 8*d**5 - a*d**5 wrt d.\nAnswer: 300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1)*w**(2\/5)*w**(-3)*(w**(2\/15)*w)\/w*(w\/w**(-4\/3))\/w**(-3\/4)*w\/w**(-1)*w**4 assuming w is positive.\nAnswer: w**(337\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 0*j + 0*j**4 - 43 + 0*j**5 - 11\/2*j**2 + 0*j**3 + 5\/2*j**6. Find the second derivative of n(c) wrt c.\nAnswer: 300*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 100 = 5*t. Calculate the greatest common factor of t and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z + 0*z - 2*z)*(5 + 8*z - 5 - 2*z**2).\nAnswer: -6*z**3 + 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyiyyiyyyiyy?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(2*3*(-48)\/360). Suppose s*g - 11 = -4*q, -3*q - 5 + 2 = 0. Solve b - g*b + 8 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5 + 8*h**4 - 24*h**3 + 32*h**2 - 16*h.\nAnswer: -h*(h - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*c = -1400, -5*d + 3*c = -0*d + 1400. Let x be (d\/(-3))\/((-3)\/(-198)). Suppose 3*g - 7*g = -x. What is g rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 1)*(-2 - b + 2)*((-3 + 2 - 1)*(0 - 2 + 3) - 9 - 4 + 3) - 3*b + b - 2*b.\nAnswer: -40*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12083\/13 - -929. Is k less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/7 + (-4)\/14. Suppose 5*m = 2*r + 12, 3*m - 10 = -0*r + 4*r. Sort w, r, 1.\nAnswer: r, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199969 divided by -371?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + 71. Suppose 0*f + 2*a = -y*f - 52, -1 = -a. What are the prime factors of -1 + 2 - 9\/(f\/408)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109347 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/358 and -59\/98?\nAnswer: 17542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 10:35 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asaaaasa. Give prob of picking 3 a.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248 = -5*y + 448*i - 459*i, 41 = -5*y - 2*i - 0*i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 2:27 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22494929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 37)\/((-27)\/297). Let m be ((-24)\/(-14))\/(22\/s). What is the highest common divisor of m and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - k**2)*((0*k - 4*k - 4*k)*(3*k**2 - 5*k**2 + 0*k**2) + (9*k**2 - 6*k**2 + 6*k**2)*(-2*k + 3*k + k)) + (4 - 4 - k)*(-2*k**4 + 4*k**4 + 0*k**4).\nAnswer: -36*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 1:23 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + 12*g - 4. Let o(k) = 2*k**2 + 8*k - 3. Let r(p) = 3*o(p) - 2*u(p). What is r(-4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95576 is divided by 19105.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 86*j + 1852. Determine g(41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1593730 minus -0.07?\nAnswer: -1593729.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3131 plus -156?\nAnswer: 2975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 205.1 + -205. What is the nearest to 21 in 2\/5, -3, k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1323.\nAnswer: 5\/1323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-181)\/4344)\/(123\/72)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 17. Suppose -2*t - 3*t + 817 = h*k, -t + 168 = 5*k. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 977457440?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105.9 + -104.094. Round h to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62 + 553?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101249502 is divided by 244.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3906 and 3934210.\nAnswer: 35407890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2100600 divided by -46680.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596927 is divided by 116.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 31\/867563 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31828888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 33 + 23*l**2 + 6*l**2 - 27*l + 1 - 32*l**2.\nAnswer: -3*(l - 1)*(l + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30566939 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvzvzzzvzzz. What is prob of picking 3 v and 1 z?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.94204 milligrams in grams?\nAnswer: 0.08294204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**6\/9 - p**5\/3 - p**4\/4 + p**3\/9 + p**2\/6 + 44. Factor x(b).\nAnswer: -b*(b + 1)**3*(2*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 1\/2, 177731?\nAnswer: 177731","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 160*b + 2474. What is g(-18)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5273 is divided by 264?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.6 rounded to 0 dps?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/15184 and 119\/17082.\nAnswer: 136656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.02 (b) -4\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -234\/25*v + 2\/25*v**3 + 118\/25 + 114\/25*v**2.\nAnswer: 2*(v - 1)**2*(v + 59)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/(v\/(v**(-3)*v))*v)**(-3)\/(v**(-16)*v\/v**(-1\/5)) assuming v is positive.\nAnswer: v**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 605 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51158368?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/8 and 127\/720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38*i*m**2*r + 2*i*r - 184*i + 294*m**2*r + 53*m**2 - 3*m*r wrt i.\nAnswer: 38*m**2*r + 2*r - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 - 5*y - 2. Let f be 18\/3 + (-2)\/1. Let j be k(f). What is the greatest common factor of 39 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -777*z**2 - 2*z + 2 - 51*z**3 + 2*z**4 + 780*z**2 + 0 in the form i*z + n*z**2 + m + k*z**3 + t*z**4 and give k.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2*m = -35. Suppose h = -5*b, 2*b + 2*h = 3*h + 7. Let w = m + b. What is the highest common divisor of 80 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/4 and 111\/550.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 f when four letters picked without replacement from {d: 7, o: 4, s: 5, f: 3}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and -5.86.\nAnswer: -16.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (2 + (7 - 14) - -15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 174b45 - -27?\nAnswer: 174b6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 284\/15 + -58\/3. Let l = 33 + -131\/4. Which is the third smallest value? (a) 4 (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/((w\/(w*w*w*(w**(-2\/7)*w)\/w))\/w)*w*w**(-1\/5)\/w*(w\/w**1)**(-22)*((w*w**(-6))\/((w\/w**(-1))\/w))**(-40) assuming w is positive.\nAnswer: w**(8558\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/5)\/g**(2\/3)*(g\/(g**8*g))**(-7) assuming g is positive.\nAnswer: g**(827\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 827338454?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64276 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-3 - -12) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z - 912 = 1308. What is the lowest common multiple of 42 and z?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**7\/840 + 11*b**6\/360 - b**5\/15 - b**4\/8 + b**3\/3 - 4. Let s(c) be the third derivative of z(c). Is s(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/5))**0\/(l**(-1\/4)\/l**(-2)) assuming l is positive.\nAnswer: l**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8035 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -721*a**5\/20 - 743*a**4\/2 - 6314*a. What is the third derivative of w(f) wrt f?\nAnswer: -4326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -32 + 2*o - 143*o**2 + 3*o + 496*o**2 - 128*o**2 - 169*o**2. What is the hundreds digit of h(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 - 7*n. Let k be p(-3). Suppose 5*v = 10, 0 = -3*c - k*v + 30 + 33. Solve -b - 2 = -4*j - c, 3*j = 4*b - 29 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51409 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 j when four letters picked without replacement from {a: 1, n: 3, j: 5, k: 1, y: 4}?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2244780?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8323*u = 8431*u + 7668 for u.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1815239388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 710609?\nAnswer: 710609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10550 and 1580.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -49 times -0.11\nAnswer: 5.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 54*a + 74*a - 206 + 36*a - 139*a. What is c(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 899*h - 913*h = -112 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/(o\/(o*o**(-3)\/o)*o))\/o)**(2\/167)\/(o\/o**(-12\/11)*o*o*o**(1\/12)) assuming o is positive.\nAnswer: o**(-92809\/22044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 61629795 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 11404?\nAnswer: -11404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l - 6. Let f(q) = -q + 2. Let y be f(-2). Determine g(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 3:10 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m - 1036 = -4*r, -3*r + 779 = 2*m. Suppose -4*g = -7*g + r. List the prime factors of g.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*4\/24*(-30)\/1. Let y = r + 22. Calculate the remainder when 40 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(52)\/(sqrt(24)\/(sqrt(24) - sqrt(6)))*-2.\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 15*h - 527. Determine v(35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 342 + -276. Calculate the greatest common factor of h and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**4 - 2*n**4 + n**4 + 13*n**4 + 7*n**4 + 2*n**4 + (-2*n**3 + 3*n**3 - 2*n**3)*(-2*n + 2*n + 2*n).\nAnswer: 22*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*h - 2*h = 0, -3*o = 5*h. Suppose o*n + 2*n = 0. Solve 0*k + 4*g - 4 = 3*k, n = 2*k + 4*g - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h**3 - 47*h*l - 114*l wrt h.\nAnswer: -6*h**2 - 47*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 2\/17, -17, 5, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-39))\/1 + 0. Suppose b + 36 = 4*b. Let o be (-1)\/(2\/b*2). What is the closest to -1 in 4, d, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -485*v + 478*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/84325 and 94\/151785?\nAnswer: 758925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135661 + 550?\nAnswer: -135111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 770 - 307 + 2*t + 282 + 571 to f*t + p and give p.\nAnswer: 1316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 2*v - w, -28*w + 21*w + 6*w - 15 = -6*w for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 4. Let y(l) = 13*l**2 + 3. Suppose -147 = 2*a - 167. Let u be 1\/(3\/a)*312\/(-208). Let q(n) = 9*n**2 + 2. Give b*q(x) + u*y(x).\nAnswer: -2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 16 - 20 = 0. What is the remainder when ((-77)\/(-22))\/(q\/(-42)) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.35 + 0.15. What is the third biggest value in 7, s, 13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.907552304 to two dps.\nAnswer: -1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**0*m)**(-1\/4)*m**(-3\/5)*m*m**(-1\/2)*(m**(-1\/4)\/m**(1\/3))**32 assuming m is positive.\nAnswer: m**(-289\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 7*l - 66. Suppose 2*x - 13 = -d + l, -x + 135 = 5*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -6. Let k = c + 10. Let s(t) = 49*t + 1. Let l be s(1). Calculate the highest common factor of k and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 2*m**2 + 9*m + 12. Let h be p(5). Let q = 20 + h. Let r(d) = -d**3 + 2*d + 1. Let f be r(-2). Solve -t = -q*j + 4, 3 = f*j - 3*t + 4*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 63*v**2. Let t(c) = 8 - 19 - 8*c**2 + 11. Let m(f) = 49*t(f) + 6*u(f). Let i(j) = j + 2. Let x(k) = 1. Let g(s) = -2*i(s) + 4*x(s). What is g(m(o))?\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**5\/10 - 13*g**4\/12 + g**2\/2 + 2*g. Let z be o(11). Round z to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 + (3 - 1) + 2. Let y = -1 - a. Find the second derivative of -5*u + 16*u - y*u**4 + 0*u**4 wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbygwywwwyywywwb. Give prob of sequence gbw.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 q when four letters picked without replacement from {b: 3, w: 1, o: 4, q: 3, m: 3, x: 2}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0 + 2 = 0. Suppose -2*g = -5*g - 18. Let t be (16\/g)\/4*-12. Solve k = -2*r - t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*3)\/((-6)\/4). Suppose -g*p - 3*p + 25 = 0. Suppose -6 = 3*o + 2*x + 2*x, o + 13 = -p*x. Solve 4*n + 2 = o*n + 2*q, q = -n + 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, 3, 39, 89, 153, 231?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 33*p - 18*p)*(1 + 4 - 2) + p + 5*p + 7*p.\nAnswer: -134*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 61961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 188, 397, -3 in ascending order.\nAnswer: -3, 16, 188, 397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-2) + (-16)\/4. Let i(j) = 4*j**2 - 4*j + 3. What is the remainder when (-2025)\/(-10) - 2\/b is divided by i(4)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(80))**2 + ((sqrt(80) + sqrt(80) + 1 - sqrt(80)) + -2)**2 - (sqrt(35) + sqrt(5040) + sqrt(5040)*2)\/(sqrt(77)\/(sqrt(44) - sqrt(11))).\nAnswer: -85*sqrt(5) + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 4*a**2 + 4*a + 1. Let q = -17 + 11. Let z = q - -10. Suppose 3*k = -4*c - 15, -z*c + 6*k = 3*k + 9. Determine x(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkaak. Give prob of sequence aa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7195, 14392, 21589, 28786, 35983, 43180?\n\"Answer: 7197*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4\/9))**(-2\/33)\/(d**23)**(1\/28))**18 assuming d is positive.\nAnswer: d**(-6607\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4 + 567*c**3 - 7*c**2 + 7 wrt c.\nAnswer: 48*c + 3402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*a + 9, 13*a - 150 = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*k = 20, -5*t + 3*k + 0*k + 24 = 0. Suppose 4*c = c + t. Suppose -n + 3*n = -p - c, 4*p + 2*n = -20. Are p and -6 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**3 + 4*k**3 - 4*k**4 + 2*k**4 + k**3 + 2*k in the form o*k**3 + a*k + m*k**4 + c + i*k**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 79945 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j - 11. Let x = -44 - -48. Let c(i) = 3 - x + 7 - 1 + 2*i. Give 13*c(u) + 6*o(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16, -4, 6.\nAnswer: -16, -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -186865266?\nAnswer: 186865272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9\/19 - 31\/95. What is the closest to -1 in 2, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 10:31 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n + 10 = -31*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - 3*l + 11*l + 9 + 3*l**2. Let n be p(-7). Suppose 8 = n*i - 3*v, 4 = i - 3*v + 2*v. Sort i, 3, 2 in decreasing order.\nAnswer: i, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (45\/27)\/((-15)\/(-12))*-3. Solve r = 130*s - 102*s - 56 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24.979 + 0.021. Let v = c - 22. Let y = 4474\/13 + -344. Sort y, 1, v in decreasing order.\nAnswer: v, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8654 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19.29 (b) 16.8631 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60.867 + -61. Let s = a + 66.133. Let f = 65.999808 - s. Round f to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000034094 rounded to 7 dps?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + -1 + -3 + (sqrt(228)\/sqrt(192))**2.\nAnswer: -45\/16 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4368968, -4368958, -4368942, -4368920, -4368892?\n\"Answer: 3*m**2 + m - 4368972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2002, 3948, 5840, 7678, 9462?\n\"Answer: -27*g**2 + 2027*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 6. Suppose b*p - 15 = 2*p. Let i be -4 - ((-6)\/3 + p). Which is smaller: i or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1492*r - 1655. Determine o(-1).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7*r**2 + 5658*r + 45701. Determine u(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.85 from 0.35.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/35369 and 47\/16046.\nAnswer: 5022398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 125, 135, 145?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1105*r + 68 + 1111*r - 6. What is z(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*y - 691112 = -68*y - 3271976. Calculate the greatest common factor of y and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -58. Sort 5, p, -4, 4 in decreasing order.\nAnswer: 5, 4, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x + 1 - 1)*(-5*x - x + 30*x) as b + y*x + m*x**2 and give m.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 11 + 6*l + 26 - 37.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - 458*3\/(-2). Let p = 1115 - f. What is the highest common divisor of 48 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q - 4*q - 2 - 3)*(-1 - q + 1) to the form t + u*q**2 + j*q and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2))**43\/(((g\/(g**(-2)\/g))\/g*g*g)\/g**(-5)) assuming g is positive.\nAnswer: g**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 10 = s. Suppose s*n - 3 = 3. Solve 0*p + p = -n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81703 bigger than -0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*k**4 - 8685*k**2 + 76*k - 3 wrt k.\nAnswer: -108*k**2 - 17370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221012 is divided by 27411.\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven halves of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*i - 14. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -786 at most 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -560336 + 109745 + 15*y**2 + 22*y**2 - 39*y**2.\nAnswer: -2*y**2 - 450591","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + 79 - (-5 + 12 - (1 - 8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15324 or 15387?\nAnswer: 15324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1292 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 10002122?\nAnswer: -10002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 179928 divided by -306?\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 9:28 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4550)\/(-1820))\/(790\/(-8)).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q - 6. Let o(z) be the second derivative of z**3\/3 - 11*z - 1. What is g(o(r))?\nAnswer: 10*r - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 equal to -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31437889247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 681090727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*m - 2760 + 7103 = 0 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n**(1\/14)\/n)*n))*n*n\/(n*(n*n**4)\/n))\/(n**2*n)**(-1\/24) assuming n is positive.\nAnswer: n**(3\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 8*y**2 - y. Let i be n(-8). Let j = i - 2. Suppose j*t - 80 = 2*t. Solve 0 = -4*h - h - t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.7 + 8.7. Let r = 1 - 1.5. Put r, 6, -2, i in decreasing order.\nAnswer: 6, i, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17544978 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89366 to the power of 1\/2, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87961.\nAnswer: 87961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.08 (c) 0.2 (d) -0.3 (e) -6 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381*t - 344*t + 168239 = 0. Do -4547 and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*t + 336*t = -21 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 6*b - 5*n - 2975, 4*n = -8. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from avaayaaava.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 2*o**2 + 1. Let g be r(1). Let y = 14 - 41\/3. Which is the closest to g? (a) -2 (b) y (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-3)\/(-42)*(-262)\/(-10). Is y at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(1573) + ((sqrt(325) + (-2*sqrt(325) - sqrt(325)) - sqrt(325)) + sqrt(13))**2)*5.\nAnswer: 55*sqrt(13) + 12730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 738 divided by 6.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 39 = 2*l, 0*l + 3*i + 66 = 3*l. What is the highest common factor of l and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f - 57900 = 21*f. Let o = f - 2773. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 1 + 1)*(-6 + 2 + 2) + 3 - 3 + f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w**2 - 13*w**2 + 2*w**4 + 5*w**2 + w + 72*w**3 as m*w**2 + l*w + j*w**3 + u + a*w**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 63 = 153. Let t = 144\/11 + -27\/55. What is the common denominator of 821\/k + 38\/171 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-13*u**2 + 0*u**2 - 3*u**2) + (u - 5*u + 5*u)*(0*u - 3*u + u).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133371, -266745, -400119?\nAnswer: -533493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1017352 divided by -12\nAnswer: -254338\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 k when four letters picked without replacement from {f: 2, t: 1, k: 7, r: 10}.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c (base 15) in base 10?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5525 - -16488. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.879229 rounded to 2 dps?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbb when three letters picked without replacement from babvbabbbubuaubabuua?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680081 is divided by 591?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39576 divided by 4?\nAnswer: 9894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.54 times -0.13\nAnswer: -0.0702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1311198 and -24\/1529731?\nAnswer: 9178386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 4*o**2 + 4*o + 23. Let a be v(-5). Let n(d) = d**2 - 4*d + 4. Let i be n(4). Let p = a + i. What is the greatest common divisor of 80 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b + 4. Let n be 21*10\/60*4*2. Suppose -4*r = -18*r - n. Determine v(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44638, -90299, -135970, -181657, -227366, -273103, -318874, -364685?\n\"Answer: -x**3 + x**2 - 45657*x + 1019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-14) + 93\/(-21). Suppose -5*k = -6*k - 5. Sort 5, i, 4, k.\nAnswer: k, i, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 3*t - 3. Let q(c) = -2*c - 3. Let b be q(-4). Suppose 41*y - 37*y - 16 = 0. Let h be b - y\/(-12)*-6. Calculate r(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70469\/15 + 4693. What is the common denominator of 17\/399 and v?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -128, -489, -1082, -1907, -2964, -4253?\n\"Answer: -116*i**2 - 13*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -40*n + 3026. What is q(80)?\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45.2*-39.\nAnswer: -1762.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 404300 and 83200.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 8*i - 4*i - 1)*(5 - 5 + 3*i**3) + 23*i**4 - 128*i**3 + 128*i**3 in the form y*i**3 + s*i**4 + n*i + w + j*i**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 0*b**3 - 2*b**3 + (-6*b**2 - 10*b**2 + b**2)*(b - 3*b + 4*b))*(-2 - 11 - 17).\nAnswer: 1020*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*z - 120, z + n = 3*n + 11. Suppose 9 = 4*k + z. Let u = -999\/11 - -91. Which is the second biggest value? (a) k (b) -1\/5 (c) u (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 74?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -17 - 3 - 1) + 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 7*x - 23. Suppose -3*v + c - 4 = 0, x*v - c = -6*c + 20. Solve 3*b - 4*o - 18 = v, b + 4*o + 7 = o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - -1?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198954 and 6048.\nAnswer: 9549792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + u - 1. Let a be v(2). Let d(g) = -13*g + 4. Let k be -5*(2 - 44\/20). Let m(h) = -3*h + 1. Let j(c) = k*d(c) - 4*m(c). Determine j(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**5\/20 - 2*u**4\/3 + 5*u**3\/3 + 2*u. Let x be k(-9). Let t be (4\/8)\/(-1)*(-6)\/x. Sort 6, -3, t.\nAnswer: -3, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*y + 319 = -242 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -199 - -202. Suppose -10 - 20 = -2*z. Suppose -7 = -3*b + g*s + 2*s, 4*b = s + z. What is the remainder when b is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + 0.2. Let k = 11.05 - 10. Let s = l - k. What is s rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152 + -147. Suppose -y*s = -d + 866, -3*d + 4252 = 2*d + s. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -72, -1, -0.1 in decreasing order.\nAnswer: 0, -0.1, -1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x**3 + x + 1. Let d(q) = 15*q**3 + 2*q + 2. Let c(u) = -3*d(u) + 5*f(u). What is c(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 + 38 - h**3 - 15 - 2*h**3 - h**3 + h**3 - h**3 - h**3 + h**3 - h**3 + 2*h**3 - 3*h**3 + (-4 + 0 + 6)*(2*h**3 - 1 + 1) + 4*h**3 - 4*h**3 - 2*h**3.\nAnswer: -4*h**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 10 = 2*z, z - 5 = -5*y + 2*z. Suppose -3 = 3*j, 5*j = -2*d - y*j + 71. Calculate the greatest common divisor of 266 and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pddd when four letters picked without replacement from {d: 4, p: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 16284.9 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.609 + 0.709. Let g = 47 + -231\/5. Which is the nearest to 2? (a) -2\/7 (b) j (c) -1\/2 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6450*a + 103164. Calculate j(-16).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 592 = -2*l, 3*w + 2*l - 290 = w. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m - 12. Let y(t) be the third derivative of 0 - 1\/30*t**5 + m*t**2 + 0*t - 1\/12*t**4 + 0*t**3. Find the second derivative of y(s) wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -5 (c) -5\/18 (d) 1\/5 (e) -1694\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6628, 13055, 19328, 25453, 31436?\n\"Answer: t**3 - 83*t**2 + 6669*t + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 23*u**3 + 17*u**2 - 5*u - 17. Let d(a) be the third derivative of a**6\/30 + a**5\/20 - a**4\/24 - a**3\/2 - 2*a**2 - 2. Give -34*d(y) + 6*f(y).\nAnswer: 2*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-2)\/6)\/(20\/(-90))*6 and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-2\/9)\/z)**(-2\/107)*(z*z**8*z)\/((z**1*z)\/z))\/((z**1\/(z*z**(1\/8)\/z*z))\/(z\/((z**2*z)\/z)*z*z*z\/(z**5*z)*z)) assuming z is positive.\nAnswer: z**(47075\/7704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from {m: 1, u: 2, n: 1, p: 2, v: 2, z: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 265 + 414. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/44 and -55\/284.\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/545 - 1112\/5995. Let n(k) = k**2 - k - 1. Let v be n(-2). Suppose 5*d + j + 7 = 0, -d + v*j + 8 = d. Which is bigger: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 5*x**2 - 4*x + 10. Give d(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 2*z**2 + 4*z - 3. Let b be n(2). Suppose -4*f = -20, -5*w = -7*f + 2*f - b. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 4 = -5*j. Let r(s) = -s**3 + 6*s**2 + 4. Calculate the remainder when 113 is divided by r(j).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 428, 9, -362, -661, -864, -947, -886, -657?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktpttktkowwwww. Give prob of sequence ow.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*y**4 + 17644*y**3 - 4870836*y**2 + 3638804*y + 1214404 = 0. Calculate y.\nAnswer: -1\/4, 1, 551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-3)*3\/(-22) + 384744\/12903. Solve 5*v = -g, -4*b - v = -39 + 45 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a - 27 = 33*a. Calculate the smallest common multiple of 36 and a.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1688828634.\nAnswer: 2, 3, 3803, 24671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**4 - y**3 + 2*y**4 + y**4 - 2*y + 2 + 0*y**3 to a*y**2 + p + j*y**3 + z*y**4 + b*y and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*x + 177*x - 3450 = 179*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, k: 18}. What is prob of sequence gkkg?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 11*l**2 - 8*l - 3. Let w(o) = 5*o**2 - 4*o - 1. Let k(n) = 7*w(n) - 3*y(n). Let z be k(2). Suppose -z*v + 4056 = 1246. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 8 + 4 + 8*h in the form z*h + n and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 5*g - 4*g - 5*g + 4, -2*n = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.266635 decades in millennia?\nAnswer: 0.00266635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**3 + 9*n**2 + 17*n**3 + 20*n**2 + 18 - 23 + 99.\nAnswer: 3*n**3 + 29*n**2 + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*b**3 - 25*b**3 + 69*b**3 + (3*b**3 - 2*b**3 - 2*b**3)*(2 - 2 + 1).\nAnswer: 76*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12041 (base 12) to base 15.\nAnswer: -72b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2698 divide 91114158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*z**2 - 36*z**2 - 178*z + 2*z**3 - 177*z + 357*z.\nAnswer: 2*z**3 + 430*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -4, 4, -122, -1426.\nAnswer: -1426, -122, -4, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1189*-1741\nAnswer: 2070049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -21, -143, -0.3, 0.5, -1 in increasing order.\nAnswer: -143, -21, -5, -1, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 170.9 - 171. Let l = 3.05 + -0.05. Put l, 0.4, b in increasing order.\nAnswer: b, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.06 (b) 2 (c) 3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 5*q + 2*q)*(0*q**2 - 4*q**2 - q**2)*(-2*q**2 + 5*q**2 + 2*q**2).\nAnswer: -25*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n**2 - 167*n - 797. Let r(d) = -5*d**2 - 84*d - 399. Let m be (1 + 2)*3 + -2 + -1. Let q(w) = m*g(w) - 13*r(w). What is y in q(y) = 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - l + 6 = 0, -5*i + 2*i - 5*l = -28. Which is smaller: i or -2\/111?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000308094311 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*b**2 + 32*b**2 + 19*b**2 - 9*b - 7*b + 16*b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-55))\/(((-202)\/(-808))\/((-3)\/4))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*x = -115041, -5*x = 323*d - 328*d + 191740. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -343 (base 5) to base 7\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, v: 1, i: 1, t: 2, a: 2, z: 1}. What is prob of picking 1 t and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 575736688 to the nearest integer?\nAnswer: 23995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1830888 divided by 24\nAnswer: 76287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 20*l + 210. Let a be n(-8). Sort a, 1\/3, -0.11 in ascending order.\nAnswer: a, -0.11, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 10 = 2*j, -3*j - 10*l = 4 + 4 - 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -415 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -24, 12, -51, -199 in increasing order.\nAnswer: -199, -51, -24, -4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 133\/8 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*i, -3*i + 4*i + 4 = 3*p. Let a be p - (3 + -4) - -12. Solve -6*j + a = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11990.94 tonnes?\nAnswer: 11990940000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2678 + 2681. Calculate the greatest common factor of 3651 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3)*((-261)\/2)\/29. Sort -24, 1, a in descending order.\nAnswer: 1, a, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/135)\/(((-32)\/(-30))\/((-22)\/(-5)))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)\/n)**(-6)*n**(-4\/11)\/(n\/n**(-2)) assuming n is positive.\nAnswer: n**(51\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2254574 and 1190.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4401131 (base 5) in base 3?\nAnswer: -10211002221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6645461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41110879 to the power of 1\/3, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 515 + -747. Let p be (-4)\/18 - n\/72. Solve 7*z = p*z + 20, -5*l + 30 = 3*z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46.48 - 41.48. What is the second biggest value in -1\/2, 4, d, 3, 3\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5367 - -5373. What is the closest to 2 in -9\/2, -5, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11659830*c**3 + 4*c**2 + 106764598*c?\nAnswer: 69958980*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5869009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1298*p. Let f(q) = 1319*q. Let w(z) = 8*f(z) + 7*l(z). Let v(y) = 2*y. Calculate v(w(b)).\nAnswer: 2932*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b + 2*b**2)*(-b**2 - 4*b**2 + 2*b**2) + 4*b**4 + 38*b - 38*b - 4*b**4 + 7*b**4 + 3*b**2 - 2*b**2 + 0*b**2 + 6*b**4 + 0*b**2.\nAnswer: 7*b**4 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/1513 + -3036\/7565. What is the fourth biggest value in 3, -8, 2\/83, m?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 13*k - 28. What is the least common multiple of 28 and d(-8)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33664 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6476*t - 6229906. Give s(962).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2655*b**5 + 535335*b**4 - 199280*b**3 - 469400*b**2 + 254480*b - 8080 = 0 for b.\nAnswer: -202, -1, 2\/59, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7154 and 1078.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-6)\/33)\/(3005\/396660).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/33)\/d**(-3)*(d\/((d\/(d*d**(4\/5)))\/d))\/d**(-2\/7))**18 assuming d is positive.\nAnswer: d**(42594\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/18)\/(40\/70)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {n: 1, b: 1, o: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -9 + -15 - -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -4*v + 7*m, 0 = 3*v - 2*m - 88 + 20. Let d = 439\/99 + -35\/9. What is the common denominator of v and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 8:43 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.4, 0.3, -1\/12, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-119)\/2805)\/((-7)\/(-21) - 0). Suppose 2*n = -3*n + 5. Which is greater: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a**3 - a**2 - a. Let d be q(-1). Suppose d*m + 24 = m. Let b = 8 - 8. Is b bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*s + 85*s - 2*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/24, 1\/5, 4, 32?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 5*w - 4. Let g be v(7). Suppose 5*a - 6 - 8 = 3*q, q - 3*a + g = 0. What is the units digit of (79 - 25)*q\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/18)\/(42\/27)*(-65)\/13.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3329954 divided by -58?\nAnswer: 57413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248088470 and 343.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 minus -12.975?\nAnswer: -267.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.55 + 179.\nAnswer: 178.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 490.936771 to the nearest ten.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 498 - 931\/2. Calculate the common denominator of c and ((-3)\/4)\/(10\/(-16)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 0)*-3.\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 3*t = -10*s - 3, 4*s = 5*t - 4. Which is the closest to -1\/3? (a) -2\/5 (b) 2\/3 (c) -12 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*k**3 + 363*k**3 + 134*k**3.\nAnswer: 551*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -8*d. Let g(y) = -3*y. Let j(b) = 3*g(b) - s(b). Let x(t) be the first derivative of -t**2\/2 + 9*t - 103. Give x(j(c)).\nAnswer: c + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 183128 and 6272134?\nAnswer: 25088536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2488*b + 8*b - 160279 = 791*b for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 4:48 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/12 + (-6)\/(-8). Let b(v) = -v - 1. Let q(d) = 76*d + 25. Let u(i) = o*q(i) + 5*b(i). Find the first derivative of u(s) wrt s.\nAnswer: 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -5*g + 5447*c - 5449*c, -g + c + 6 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11015263 divided by 7?\nAnswer: 1573609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 89?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8844*f**2 + 30980?\nAnswer: 17688*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 3, -34, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2\/3 - 244874644*f\/3 + 14990897818531684\/3 = 0.\nAnswer: 122437322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.2. Suppose -8*z = 20*z - 1960. Let y be (2\/(-6))\/(z\/42). What is the biggest value in y, c, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {d: 10, k: 2, l: 4, q: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 168 = -0*u. Suppose 15*x - u = 9. Solve 16*v**3 + x*v + 0 - 3*v**2 + 0 - 15*v**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 48. Let k = s + -11. Calculate the remainder when 25 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2793)*3*4)\/((sqrt(363) - sqrt(363)*-1)*-2).\nAnswer: -21*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28196 - -28195. What is the biggest value in 0.03, v, 1, 0.1, 0.08?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 3530165.\nAnswer: 31771485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 336*b - 169*b - 167*b - 1614 + 1596.\nAnswer: b**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -89 and -3.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 9 = m. Let o = 0.14 + 2.86. Let u = 1106\/1835 - 1\/367. Which is the nearest to o? (a) u (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77884 or -77789?\nAnswer: -77884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -20*u**3 + 2*u**2 - 3*u**3 - 1 - 2*u**3 + 11*u**3. Let h be -2*(3\/2)\/(-1). Suppose -5 + 2 = -h*l. Determine g(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764702 is divided by 4068?\nAnswer: 3986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -436460000 to the nearest one million.\nAnswer: -436000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -34827.05 rounded to the nearest one hundred?\nAnswer: -34800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -590*f**2 - f. Let m(t) = 4*t. Determine l(m(k)).\nAnswer: -9440*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-5)*8*5. Suppose 7*j - 5*i + 98 = 9*j, -4*j + 226 = 5*i. What is the greatest common factor of t and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 4*r - 3*w - 4, -3*r + 2*w = -3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.922 + 0.022. Let p = -95.7 - -96. What is the closest to 1\/2 in a, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1111124130 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 - -173\/2. Suppose 0 = -2*q - 5*n + 6, q + 3*n - 2 = n. Let r = -0.3 - 0. Which is the closest to q? (a) r (b) x (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 - 3*k**2 + 5*k + 1. Let d(b) = 24*b**3 + 28*b**2 - 45*b - 8. Determine -2*d(z) - 19*y(z).\nAnswer: 9*z**3 + z**2 - 5*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 12\/1409 (b) -3 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2078 + -2039.68. Let p = -38 + h. Let l = 1.02 - p. What is l rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 1:04 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 11 = 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119 and 272.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10547 and 16112?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k + 1260 = -2*o, -o = -3*k + 755. Let n be (-4)\/(-14) - 35928\/(-84). Suppose -3*y + k = -j, -4*j = 4*y + y - n. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, g: 1, m: 1, f: 5, i: 1, d: 3}. Give prob of sequence cmf.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 692 = h - 267. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 39*c**2 - 21*c + 39. Is j(-20) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/5 of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5663\/4 equal to -1417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 47. Let j be 11*10 - (x + 17). Suppose -64 - j = -3*m. List the prime factors of m.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/37824 and -97\/6708?\nAnswer: 21143616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 5. Let n(o) = -5*o**2 + 6*o - 1. Suppose 4*b = 2*m - 36, 7 = b - 5*m + 16. Let l(g) = 11*g**2 - 13*g + 2. What is b*n(z) + v*l(z)?\nAnswer: z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 2*t - 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 136, 3, 9 in increasing order.\nAnswer: -17, 3, 9, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - 6) + 8 - (6 + 32 + -23)) + -6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70913270947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -88*t + 272 + 1367 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 2:04 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-16) + (-26)\/(-24). What is the closest to 0.1 in u, -7, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -636 + 171. Let f = -0.4681 + -535.7319. Let x = f - d. Round x to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 4301 = 1292. Let k = 177 - v. Sort -14, k, 5.\nAnswer: -14, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 646 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 1358?\nAnswer: 6790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 0, 48*a - 47*a + 1 = -2*r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 71 = 22*p - 5*y, 6*y + 41 = -3*p + 62 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194725?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-106)\/(-53))\/((-1)\/(116\/8))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/((-429)\/2) - 301\/(-546). Sort -146, -3, m in ascending order.\nAnswer: -146, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a + a + 5*a + 5*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j\/(j\/(j\/((j**(8\/7)\/j)\/j))))*j*j**(-30) assuming j is positive.\nAnswer: j**(-216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98.8 + -98.5. Which is the third smallest value? (a) 2 (b) h (c) 217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 16 = g, 3*g + 42*d = 47*d + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3. Suppose v*g - 5*g = 35. Let a = g - -16. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (-7182)\/210 - ((-72)\/5)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1096\/819?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 - q**2 + 2*q**2)*(3*q + 0*q + 0*q) + 13*q**2 - 8*q**3 - 13*q**2.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50451?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 15*b**2 - 4*b. Let p be x(1). Let w(l) be the first derivative of 9*l**2\/2 - l - 11. Let q(h) = 17*h - 2. Determine p*w(y) - 6*q(y).\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/714 and -139\/252?\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 868 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 - -19. Let d = -87137739.999903 - -87137798. Let j = f + d. What is j rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 23.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen quarters of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*i - 136*i = -23*i + 58*i. Solve 71*v - 56*v = i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 23.85. Let b be 38\/(-3)*-21*7\/(-98). What is the fourth smallest value in 0, y, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -s + 1880, 4*s - 2873 = -5*l + 251. Suppose -2*d - 4 = 0, -241 = 5*t + 3*d + 1800. Let c = t + l. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + 237*c + 427. Give y(-111).\nAnswer: -1238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 3*r**2 + 44 - 5*r - 15 - 15.\nAnswer: -3*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 25054*t + 50116.\nAnswer: -2*(t - 12529)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 3*m - 12, -5*r - 35557*m = -35554*m + 28 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.985, -0.37, -0.187, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22724 and 836.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, -7, -1\/3, -13\/24, -5, 2 in descending order.\nAnswer: 5, 2, -1\/3, -13\/24, -5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4*v, 8*x = 3*x - v - 30. Let d = x + 11. Solve -d*w + 7*w - 2 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-476)\/42 - (-44)\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -63 and -2985662008?\nAnswer: 2985661945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(11*g**2 - 7*g**2 + 7*g**2 + 325*g - 14*g**2).\nAnswer: 6*g**2 - 650*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**4 + 26*d**3 - 23*d**2 + 2*d + 2. Let z(f) = 3*f**4 - 105*f**3 + 93*f**2 - 9*f - 9. Let w(u) = 9*b(u) + 2*z(u). Factor w(m).\nAnswer: -3*m**2*(m - 7)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**6\/900 + u**5\/150 + 219*u**2. Factor z(f).\nAnswer: 2*f**2*(f + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**9*v**9*v\/v**(2\/3)*v*v**(3\/10) assuming v is positive.\nAnswer: v**(589\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -2*l + 12, 21*l - 23*l = h - 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttj when four letters picked without replacement from {k: 1, h: 1, t: 1, j: 2, x: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1443 + 1421?\nAnswer: 3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.41 + -29.59. Let o = -29.9 - c. Which is greater: o or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 12*n**2 - n + 22. Calculate the remainder when 117 is divided by h(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 17 = -5*v + 15, 0 = -v + 3*l + 14. Suppose -23*w = -41*w + 90. Solve 4*q - w*i + 2 = 26, 0 = 2*i + v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474.7697 centuries in decades?\nAnswer: 4747.697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 61*d - 82. Let l(z) = 4*z**2 + 16*z - 18. Let a be l(-5). Calculate the least common multiple of 50 and u(a).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuuu. What is prob of sequence ucu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 228, 347, 492, 675, 908, 1203, 1572?\n\"Answer: 2*w**3 + w**2 + 102*w + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) 0.1 (c) -1 (d) 365\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f\/(((f\/(f*f*f**(3\/7)*f))\/f)\/f))\/f)\/(((f**(-1\/10)*f)\/f)\/f))\/(((f**(-3\/5)*f)\/f*f)\/f)**(2\/43) assuming f is positive.\nAnswer: f**(4549\/602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t*t**6)))*t**(-2)\/t*t**(-5)\/t**(-3\/2))**(-6) assuming t is positive.\nAnswer: t**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s = -12*s - 48. Which is the smallest value? (a) s (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**5\/3 - 12*l**4 - 166*l**3\/3 - 72*l**2 - 88*l\/3 = 0?\nAnswer: -2, -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdt when three letters picked without replacement from tdqquugtttuguq?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - a**2 + 4*a + 5. Let u be g(-2). Let w be (9\/(-15) + u)\/((-2)\/(-20)). Calculate the greatest common divisor of w and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -177.475 * -2\nAnswer: 354.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 - 7) + 13 - (-8)\/(-2). Find the common denominator of (28\/m)\/(24\/50) and 29\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 4*i**2 - i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 4*c**2 + 6*c + 2. Let p(m) = 2*m**3 - 5*m**2 + 7*m + 3. Determine -3*l(f) + 2*p(f).\nAnswer: f**3 + 2*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -518, -2182, -5002, -8978, -14110?\nAnswer: -20398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -10 - 0. Suppose 4*t + 35 = -3*v, v = -t - 0*v - r. Is -5 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34117720 and 12978?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 5. Let q(g) = -9*g**2 - 60. Let t(y) = 12*o(y) + q(y). Let u(n) = 67*n. Determine u(t(i)).\nAnswer: 201*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**2 - 5*p - 5. Let f(d) = -20*d**2 + 14*d + 14. Let x(c) = -5*f(c) - 14*k(c). Let w(n) = -n**2. What is w(x(l))?\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 231\/(-490) + (-4)\/40. Let q be 16\/10 + (-8 + 0 - -7). Put 2\/7, q, f, 2 in ascending order.\nAnswer: f, 2\/7, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y = 19*y - 97. Let i = -82 + y. Let n(s) = 3*s - 41. Calculate the least common multiple of n(i) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 3) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 6*i + 5. Let y be g(-5). Let o = y - 8. Suppose l + 1171 = o*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592682877?\nAnswer: 3, 65853653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9)*-1*(-54)\/(-36)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 1)*1\/(-2). Suppose -2*k = 3*k - 4*t - 40, x*k - 5*t = 33. Suppose k = r + 3. Solve 4*p + r = 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004502 to 6 decimal places.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 8. Let x(j) = -10*j - 22. Let i(v) = 4*o(v) - x(v). Let r(u) = 3*u - 2. What is -2*i(q) + 11*r(q)?\nAnswer: 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3655900 - 2357973. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 9:36 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12158 + -2347. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 2*p**5\/35 - 2*p**4\/7 - 18*p**3\/7 - 38*p**2\/7 - 32*p\/7 - 780. Factor j(x).\nAnswer: 2*(x - 8)*(x + 1)**2*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 3367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 14*v + 20. Let g(n) = -15*n - 21. Let y(k) = 7*g(k) + 6*s(k). Let t(c) = -3*c - 4. Calculate -27*t(x) + 4*y(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2832994613 - -0.2833. What is v rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -w + 5*y + 32, 3*y - 143 = -4*w. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1172662*m**2. Let h(o) = 4*o. Determine h(k(z)).\nAnswer: -4690648*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2319000 to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258307720.\nAnswer: 2, 5, 11, 587063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**5 + 49680*f**4 - 49568*f**3 - 1341144*f**2 - 1341468*f + 2682504 = 0?\nAnswer: -3, 1, 6, 12419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162956 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 153917066?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -167164 + 246463. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 27 - 14) + -14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 5*b - 3. Let h be g(3). Let p(v) = v - 6. Let x be p(8). Suppose 4*w - 3*i - 43 = -w, -4*i - 28 = -3*w. Solve -h*y = x - w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21111118 and 27142866?\nAnswer: 190000062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4181123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4*h = 4*x - 0*h - 6 - 22, 5*h = 10*x - 70 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(171) + -6*2*sqrt(171) + sqrt(171) + sqrt(171) + sqrt(171))\/(sqrt(81)\/sqrt(225) + sqrt(9)).\nAnswer: -20*sqrt(19)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4\/9 + 2*c**3\/9 + 16*c**2\/3 - 8*c\/9 - 160\/9 = 0. What is c?\nAnswer: -4, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*h - 0*h - 5*l, 4*l = 3*h - 35. Suppose h*d = d + 252. Is (-21)\/d - 94\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 6 + -5 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 81658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - t. Let p(g) = 3*g**2 + 2. Let c(v) = -2*k(v) + p(v). Let b be c(0). Suppose -2*u + b = 0, -3*u + 1 = -n + 44. Is 47 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10*u**2 + u + 5. Let z(c) = -9*c**2 + c + 4. Let f(v) = 4*k(v) - 5*z(v). Find the second derivative of f(l) wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 - 59. Suppose -g*u = 7*r - 4*r - 22, 2*r + u - 10 = 0. Suppose r*p - 3756 + 210 = 5*d, -4*p + 3566 = 5*d. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20689 is divided by 2937.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 59050811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -252*j**3 + 3*j**2 + 2*j. What is the tens digit of h(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 + 67. What is the nearest to -1 in z, -3\/5, 0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5) + (sqrt(5) + 1)**2 + 1)*-3.\nAnswer: -9*sqrt(5) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s**2 - 6*s + 12. Let f(a) = a - 3 + 4*a - 7*a**2 - 8. Let q(y) = -6*f(y) - 5*g(y). What is the first derivative of q(d) wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*i*v + 35*i*z**2 - 5*i*z + 8*i - 209202*v**2*z**2 - 3*v*z**2 + 30*z with respect to v.\nAnswer: -13*i - 418404*v*z**2 - 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/3 - 2*q**3\/3 + 2*q**2 + 10*q\/3 + 4\/3.\nAnswer: -2*(q - 2)*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 35075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 - 926986?\nAnswer: -927057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 127*p + 13866*p**3 - 130 + 13867*p**3 - 27734*p**3.\nAnswer: -(p - 13)*(p - 1)*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckkcckkkkackc. What is prob of picking 1 k and 2 c?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -7 (b) -0.2 (c) -127 (d) -1\/4 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + -34 + 34\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + -4 + (sqrt(13) - (5 + sqrt(208) - sqrt(13))) - (-2*sqrt(208) + -4 + 1*sqrt(13))**2.\nAnswer: -662 - 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + (-1*(sqrt(891)*1 + sqrt(891)))**2 + (sqrt(176) - (1 + sqrt(176) + (0 + sqrt(176) - sqrt(176))))**2*3).\nAnswer: -17835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5)*(y**(-3)*y*y*y*y)\/y)\/((((y**1*y)\/y)\/y)\/y)**(1\/14))\/((y**1)**(4\/29)\/((y**1*y)\/y)**(-43)) assuming y is positive.\nAnswer: y**(-86613\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22174 - 425 = -837*z for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 324443 (base 6) to base 2\nAnswer: 110100101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 736 - 76. Suppose -2*z + c = 3*z. What is the highest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 1 = 4*g. Let j = g - -5. Let p(v) = 11 - 11 + j*v. Let l(w) = w**2. Give l(p(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74.95 + 75.95. Which is the fourth smallest value? (a) k (b) 5 (c) -2\/41 (d) -2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*r + 29 = -47, r - 308 = -5*g. Let n(d) = 3*d**2 - 5*d - 175. Calculate the remainder when g is divided by n(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15608460*d**2 + 45689657*d wrt d.\nAnswer: -31216920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14281466.\nAnswer: 2, 7140733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -14681 (c) 4 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14049.9999990871 + -14050. What is q rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*n + 5*s - 10 = -41*n, 3*n + 3*s = 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1844336106 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16168 - -16173. Calculate the remainder when 5411 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18583 + 41742. What are the prime factors of j?\nAnswer: 23159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34632)\/468)\/(-2 - 0).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**4\/48 - h**3\/6 - h**2\/2 - 25*h. Factor y(p).\nAnswer: -(p + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (0 + 6))\/((-32)\/(-80)). What is the closest to 0.1 in -3, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -629.\nAnswer: -50.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 748240.7 milligrams?\nAnswer: 748240700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (480 - 480 + 30*u)*(-2*u**3 + 3*u**3 + u**3 + (-3*u + 2*u + 2*u)*(u + 2*u**2 - u) + 2*u**2 - 2*u**2 + u**3 + u**3 - 4*u**3 + 5*u**3).\nAnswer: 210*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41568\/(-3897))\/(2\/6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -592692*m**2*y - 47*m*y + 406565851*y wrt m?\nAnswer: -1185384*m*y - 47*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 1. Let p(a) = a**2 + 15*a + 41. Let r be p(-13). Solve 4*n - r = -t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18482.\nAnswer: 2, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-1) - 6*24\/4. Is ((-508)\/(-2))\/(g\/(-493)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12702 divided by 10556?\nAnswer: 219\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77582 is divided by 77271?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 3 = -9*v. Solve -5*d + 6*d - n - v = 0, 5*d = -2*n + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -37. Let l(j) = -77*j - 337. Let q be l(-5). Suppose -51*f + q*f - k = -85, -4*f = k - 115. Which is bigger: f or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 123 = -0*m + m, 2*m - 29 = -g. What is the common denominator of -151\/6 and 6\/(-4) - g\/45?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*418 - (-30)\/(-5).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 38707 - 6021 = 0. Suppose 4*y = -2*h + 5*h + 44713, -y + p = 3*h. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h, -l = 4*h + 6 - 18. Let a be 2\/10 + 3\/(-15). Suppose -3*t + a*t = -36. What is the least common multiple of t and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151694845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 + -4. Let n = 4.8084 + q. Round n to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 0)*-6 + -2 + (sqrt(1216) + 1)**2.\nAnswer: -32*sqrt(19) + 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3054, 8143, 26798, 52905, 86458, 127451?\n\"Answer: -z**3 + 3735*z**2 - z - 6787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t + 15. Let w be (t - 1) + -2 - -4. Let y(f) = f**2 - 2*f - 5. Give y(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 670 and 49?\nAnswer: 32830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + 4*d - 4. Let p(w) = -w**3 + 5*w**2 - w - 3. Let x = 7 - 3. Calculate the remainder when q(3) is divided by p(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 = -5*s, 5*x - 4*s + 7 = -5. Let w be 28\/8 + 2\/x. Let u be (4\/2)\/1 + 0. Solve u*a + 7 = -w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4405 - 4405.2. Let g = 20\/7 + -394\/133. What is the nearest to -0.1 in g, q, -8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 2\/15*l + 1\/15*l**2 - 1\/15*l**4 + 2\/75*l**5 - 4\/45*l**3 + 1\/45*l**6 - 4. Factor i(p).\nAnswer: 2*(p - 1)**2*(p + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*b + 4*b + 4*q - 12, 4*q = -8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 5*l + 900. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932999 divided by -6?\nAnswer: -932999\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -255a841 (base 12) to base 5\nAnswer: -3334311124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19482572 to the power of 1\/2, to the nearest integer?\nAnswer: 4414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -562 - 634 = -4*b. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 50*d - 12. Let g(x) = -25*x + 6. Give -7*g(a) - 3*l(a).\nAnswer: 25*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - ((-24)\/10)\/4. Suppose 0 = 3*p + 3 - 33. Suppose 4*s = -s + p. Which is greater: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 19*f**2 + 146*f + 1785. Calculate y(-20).\nAnswer: -735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -5 (b) 0.02 (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1899 is divided by 1119?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/6*171\/(-798)*8\/6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/3)\/v)**(-37) assuming v is positive.\nAnswer: v**(259\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3 = -9. Suppose c - o*t = -c + 12, -c = -5*t - 13. What is the tens digit of 37 + -3*(-3)\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-40 - -11) + 38 + (4 - 0) + -26)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyx when three letters picked without replacement from {k: 1, y: 1, x: 3, z: 7}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*y + 11 = 0, -2*y + 12 = 2*y. Solve 0 = f*n + 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/3 - 2548*u**4\/3 - 325696*u**3\/3 - 12256576*u**2\/3 - 138830848*u\/3 - 482480128\/3 = 0.\nAnswer: -52, -8, 1394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - t - 163, -111 = -3*q - t + 6*t. Suppose 0 = -3*f + 5 + 7. Suppose -f*u = -4*s + q, -s + 5*u - u = 1. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 + 123. What are the prime factors of h?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 0*c - 21*c + 0 + 2 - 3. What is the tens digit of i(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 218.16 or 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 515, 1159, 2061, 3221, 4639?\nAnswer: 6315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8032 + 22328. Calculate the greatest common divisor of 16 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 2*f**2 + 16*f + 92. Let p be c(12). Suppose 468 = s + 2*v, v + p = 5*s + 3*v. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 607089430 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -152\/7 in -15, -4, 0.02, 43?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + (0 - (-9 + 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5.2 * -0.33\nAnswer: 1.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 16. Suppose 27 = j*l + 6*l. Is -25*(-57)\/l + 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131463.29 rounded to the nearest one thousand?\nAnswer: -131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 21*p + 43.\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 4, l: 1, y: 2, h: 5, g: 2}. Give prob of sequence bg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + (sqrt(847) + -1 + sqrt(847) - sqrt(847) - sqrt(847)) + 2*sqrt(847)*-2)**2 + -1)*-6*4.\nAnswer: -1626696 + 21120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/21 + (-906)\/7. Let n be -3 - (m\/(-40) - (-1)\/(-4)). Let w(l) = l**2 + 2*l - 5. Calculate the remainder when w(n) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44562.177 rounded to the nearest 1000?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33358 divided by 26.\nAnswer: -1283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*r + 2 = 14, r = m - 3. Suppose m*v - 12 = -v. Suppose v*j = 20 + 16. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4.2. Let w = l - 0. Let d = 727\/8 + -91. Sort -0.1, w, d in ascending order.\nAnswer: w, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26449 + -12868. Is y a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = 1091*k - 1110*k - 93 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.092 plus -0.050897347?\nAnswer: 0.041102653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6787911 * 2.\nAnswer: -1.3575822","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 664 and 830?\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24428 divided by 4\nAnswer: 6107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wdwdcqdtkqcq. Give prob of picking 3 q and 1 t.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18265431 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-1 - (-22)\/8). Let g = -49931\/13 - -3841. Sort 0.4, g, -0.5, l in decreasing order.\nAnswer: l, 0.4, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*n + 15, 4*n + 4 = -5*z - 6. Suppose z*x = -f + 166, -4 + 6 = -f. Calculate the greatest common divisor of 105 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -80, 85, 262, 451, 652, 865?\n\"Answer: 6*c**2 + 147*c - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 16) to base 12\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 588, 2 in descending order.\nAnswer: 588, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnc when three letters picked without replacement from ccccccccccccn.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42811, -42805, -42797, -42787, -42775, -42761, -42745?\n\"Answer: t**2 + 3*t - 42815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 624*f**3 - f**2 + 75*f**3 + 607*f**3.\nAnswer: 1306*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82180*m**2*o**3 + 94*m**2*o - 11*m**2 + 40*m*o**6 + m*o**2 + 3*o**2 - 53 wrt o.\nAnswer: 493080*m**2 + 4800*m*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**7\/630 - 7*v**6\/90 - 37*v**5\/30 - 91*v**4\/18 - 169*v**3\/18 + 25*v**2. Determine u, given that s(u) = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7479 divided by 275?\nAnswer: -7479\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 1041*p**2 - 1050*p - 2088.\nAnswer: 3*(p - 2)*(p + 1)*(p + 348)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64.49 + 64. Let h = 0 - 0.01. Let x = h + j. What is the third smallest value in -3, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**5\/100 + i**4\/10 - 11*i**3\/30 + 3*i**2\/5 + 91*i. Factor g(a).\nAnswer: -(a - 3)*(a - 2)*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1579 - 1559. What is the remainder when 619 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**6\/60 - j**5\/15 + 13*j**2. Let t(s) = s**2. Suppose -3*m - 8 = -5*m. Calculate m*t(p) + w(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 10) to base 14\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.22 - 0.64. Let g = m - 0.28. Which is the closest to 0? (a) g (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8*c*c**14*c)\/(c**(2\/5)\/c)**24 assuming c is positive.\nAnswer: c**(192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 148616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 0, -18\/11 in decreasing order.\nAnswer: 0, -18\/11, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3531 = 20886*y - 20919*y for y.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5 = 0, -2*h - 1573 = p - 18610. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 11*v**2 - 53*v + 16. Determine x(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: 274 (base 10) to base 3\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.87353525 to 2 decimal places.\nAnswer: 14.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -89.6 and 0.353 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231984 is divided by 1252?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 12 - 5)*(3*s**2 + 2*s - 2*s) to k*s**2 + i*s + y and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -223.7905 + 223.9904962. Let z = -0.2 + a. Round z to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 7:47 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 5977*v**2 - 2976*v**2 - v + 100*v**2 to the form p*v + x*v**2 + u and give x.\nAnswer: -8853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/3499 and 7\/454.\nAnswer: 1588546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (126\/(-5)*91\/(-273))\/((-4)\/(-290)). Solve 23*o + x = 448 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428*u - 32 = -424*u. Let n be u\/(-6) + (2 - (-16)\/6). Calculate the greatest common divisor of n and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, 2, -1, -16, -49, -106?\n\"Answer: -b**3 + 3*b**2 + b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18141 - -1287987\/71. Let q be 130\/(-2556) - (-4)\/6. Let c = u + q. Find the common denominator of -41\/18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 11. What is the remainder when 24 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + 59. Suppose 4*o + 2*q = 4, 3*q = -0*o + 2*o + 14. Let y = o + 22. Calculate the remainder when s is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*w**3 + 12*w**2 + 101*w**3 - 26*w**2 + 14*w**2.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1058*u. Let o(m) = -141775*m. Calculate 4*o(k) + 535*q(k).\nAnswer: -1070*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f - 16. Let m = 128 + -135. Give z(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.7 - -5. Let k = -0.1 + -0.1. Let t = -0.3 - k. Which is the third smallest value? (a) t (b) v (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y = 3*u, -297*y + 293*y + u = -u - 0 - 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6044 + -3990. Suppose o = 7*g - 781. Suppose 0 = 4*y - g - 267. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485893041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 16*s. Let l(z) = -63*z**2. What is y(l(h))?\nAnswer: -1008*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -12*h**2 - 2*h - 10. Let a(o) = -1. Let s(g) = 5*a(g) - j(g). Suppose -v + 6*v + 26 = c, 4*v - c = -21. Is s(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 28. Let s = -5.8 - 38.2. Let p = 41 + s. What is the second biggest value in 0, p, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o + 1704*o**3 - 1707*o**3 - 92*o - 1 + (-o**2 - 5*o + 5*o)*(-6*o + 0*o + 4*o) as s*o**3 + i*o**2 + h + w*o and give w.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 1. Let r be x(-2). Let u(g) = 4*g + 2. What is u(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 6*m**2 - 615*m + 3681. Give i(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 373377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -164 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwhwwwihkwhihkwh. What is prob of sequence whw?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 228?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6807389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-2)*9)\/(59*70\/(-8260))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -9 (c) -11 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.06267785 from 2.\nAnswer: 1.93732215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 24. Solve 0 = y*s - 1 - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -19*f + 112. Solve 4 = -f*g + 16*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 11. Suppose 33*w + 40 = 53*w. Let i(y) = 10*y**2 - 18*y - 3. Let z be i(w). Solve z = -m + g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/8)\/(50\/(15600\/10101))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2243871 = -3601*j + 3592*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 913 - 2193 + 1280 + 10*a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -20*(-9)\/24*2. Calculate the remainder when 534\/a - (-6)\/(-10) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.31 rounded to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -31489599.2559?\nAnswer: -31489578.2559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - ((-27)\/18*24\/(-9) - 16).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 19*f**2 - 15. Suppose -3*p = 2*p + 25. Let u(s) = 10*s**2 - 7. Let i be 12\/(-9)*15\/(-10). Let t(d) = i*l(d) + p*u(d). Differentiate t(c) wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -12, 1, 18, 39?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 147 - 285 + 138 - 31*m. Let h(y) = 7*y**2. Determine a(h(d)).\nAnswer: -217*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3668 + -2337. What is the lowest common multiple of a and 363?\nAnswer: 3993","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**3 - 5*c**2 + 4*c + 0*c**2 - c**3. Let n(x) = -184*x**3 + 3 + 182*x**3 + 5*x**2 - 3*x - x**2 - 3. Give 4*b(f) + 5*n(f).\nAnswer: -2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5 - 8662543*l**4 + 18759899812891*l**3 + 56279777401587*l**2.\nAnswer: l**2*(l - 4331273)**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 200314 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 56164\/17336 - -2. Let a be 140\/394*12\/(-8). Let y = a + m. What is the common denominator of y and -11\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3685*t**2 - 3685*t**2 - 13*t**3.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 20) + 10 - (-12 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**3 - 58*h**2 + 3700*h - 51347. Calculate v(14).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 3:32 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m**2 + 7*m + 9. Let g be p(-2). Let s = 23 - g. Solve 3*v + s*w = 5*w - 25, -2*v - 2*w = 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-7)\/(-10))*4\/(-15)*111\/185?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267973?\nAnswer: 23, 61, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-three quarters of a second?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-42))\/((-53)\/3286).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2521, 5821, 9121, 12421, 15721?\n\"Answer: 3300*v - 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*((-1 + (3 + sqrt(2156) + sqrt(44))*2)*-4 + 2))**2.\nAnswer: 75776*sqrt(11) + 2889060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b = 40. Let y(l) = -l**2 - 8*l + 4. Let c be y(b). Let k(u) = -2*u - 2. What is k(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 6*b**2 - 5*b. Suppose w = 2*w + 5. Let y be x(w). Suppose y*o + 17 = 2*l + 3*o, -3*l - 3*o = -33. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3\/5 - 68*y**2\/5 + 352*y\/5 - 576\/5 = 0. What is y?\nAnswer: 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 163*c - 2129. Let j be z(12). Calculate the highest common divisor of j and 22195.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1076*r + 1074*r - 14 = 3*o, o + 18 = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 10. Let u be t(-10). Suppose -2*s - g = -83 + 23, -2*g + 4 = u. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 257851 and 1167788?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 17. Let t(j) = j + 9. Let a(u) = -4*h(u) - 7*t(u). Let k be a(-3). Solve 0 = v + k*v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -10*i - d + 4, -4*d = -4*i + 8. Let w(s) = -i + 8 + 4 - s. Calculate w(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2609*f*v**5 + 92*f*v**2 + 2*f*v - f - 551*v**5 - 2516*v**2 - v wrt v.\nAnswer: 156540*f*v**2 - 33060*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 924*x - 6568. Give m(469).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 + 101. Let j = -18 + z. Calculate the greatest common factor of j and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/((-440)\/30)*-4. Let a(z) = z**3 - 3*z**2 - 3*z + 1. Let m(q) = q**3 - q + 1. Calculate u*m(n) + a(n).\nAnswer: -2*n**3 - 3*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s + 1. Suppose -o = 7 - 1. Let j(v) = -13*v - 2. Suppose 2*t + 0*i - i = 33, i = -5. Let g = 3 - t. Calculate g*x(n) + o*j(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 145 - 130. Suppose 3*c - 18 + 6 = 0. Suppose 0 = c*r - o - 73. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/(-26)*(-1)\/14*(-3)\/12?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 + 8*l - 5. Let r(i) = -7*i**2 - 17*i + 12. Let g(f) = -1. Let u(k) = -g(k) - r(k). Let a(d) = 9*o(d) - 4*u(d). Let y = -4 + 6. Calculate a(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*m**2 - 89*b**2*m + 17*m**2 wrt m?\nAnswer: 2*b**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16200 = 1358*g + 439*g + 48464 + 204886 for g.\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -5 + -15 - (-2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 113531 a multiple of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 14*g + 26. Let a be 10 + 4\/2 + -2. What are the prime factors of ((-45)\/a)\/(g\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.26 in -5, -0.2, 0.3, 2.75496?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (28 - (-19 + 72))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*o - 1 = 0, 0 = -0*i - i - 5*o + 4. What is the hundreds digit of 1286\/(-4)*i\/(11\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30239 is divided by 318?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 725*k**2 + 189*k + 6. Is 42 a factor of w(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l. Let c be z(10). Suppose 0*i + 2*i - c = 0. Let a(t) = -2*t**3 + 5*t**2 - 1. Let r(f) = 2*f**3 - 6*f**2 + 1. What is i*r(s) + 6*a(s)?\nAnswer: -2*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010101101 + -10011000010?\nAnswer: -100101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (122*(-3)\/(-18))\/(2\/6). Suppose s*k - 66*k + 23 = 4*q, -4*q = 3*k - 17. Suppose 8*y + 0 - 4*y**k + 92\/5*y**2 = 0. What is y?\nAnswer: -2\/5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6)*p\/(p\/(p\/(p*p*(p*p**(-1\/3))\/p))))**(1\/18))**24 assuming p is positive.\nAnswer: p**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441 = 3*n - 99. Let o be (0 - 2 - -4) + 166. Let p = o + n. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 115*x - 221*x + 104*x + 2 + 2*x**3 - x**2 - 3. Suppose 0 = -4*u + z - 6, 4 + 7 = -3*u + 4*z. Determine h(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 6:35 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -39. Let k = -8 + 13. Suppose z - 4*z = k*d - 24, -5*z = 2*d - m. Solve 9 = -3*u - z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 22233111?\nAnswer: -22233122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**2 - 3*l**2 - 2*l**2 + (2 - 2*l - 2)*(-3*l - l + 3*l) + 0*l**2 - 4*l**2 + l**2 + (-2 - 1 + 4)*(-l**2 + 0*l + 0*l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*b + 1156 = 0, -k = b - 2*b - 230. What is k rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 7. Let b be l(-5). Suppose -b*w = -3*w + 2. Is 226\/6 - w\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -10. Let f(o) = 28*o + 0*o**2 + 2 - l*o**2 - 1 - 27*o. Determine f(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -702214\nAnswer: 2106642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/13 + 304*m**2\/13 + 306*m\/13.\nAnswer: -2*m*(m - 153)*(m + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-594)\/22*2\/(-6) - 25. Let w(f) = f**2 + 17*f + 18. Give w(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 19 + (11 - 1) + -81.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.47323 + -3.300077. Let g = v - 0.173. Round g to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2157884 divided by 4?\nAnswer: -539471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 424.000239 + -424. Round z to 5 decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -13*p**2 - 3*p + 5. Let d(t) = -1. Let c(q) = -4*d(q) - o(q). Let l be c(7). Let s(z) = -2*z**2 + 657*z - l*z. Let f(x) = 6*x. Give f(s(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-795)\/(-20) - (-4)\/16. Let z be ((-4)\/10)\/((-104)\/r). Factor 14\/13*w**2 + 0 - 6\/13*w - 10\/13*w**3 + z*w**4.\nAnswer: 2*w*(w - 3)*(w - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10482 - -21425. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4475784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + (63 - 43) - 26.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -40*m**3 - 9*m**2 - 15*m + 12. Let l be n(-3). Let w = -1052 + l. Let f be (-3)\/(-2)*(-12)\/(-9). Solve -f*j + w = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.80571 litres in millilitres?\nAnswer: 59805.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1032\/144 + (-5)\/(-6). Solve 4*l - 8 = a*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311013 - 312333200?\nAnswer: -313310213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165538 and 10.\nAnswer: 827690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k + 4. Let l(t) = -15*t - 2 - 8 - 11. Let n(a) = 21*d(a) + 4*l(a). Let b(g) = -g. What is n(b(s))?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -36591400 to the nearest one million.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2543\/51 + -22969\/68. Let z = 1191\/4 + i. Calculate the common denominator of z and -127\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -1 + -5 + 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + -62 + -5 + -17.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2 + 2*a - a + 5 - 1. Let s(p) = 5*p - 3. Let k(f) = -14*f + 8. Suppose 0 = -5*u + 3*u - 22. Let q(o) = u*s(o) - 4*k(o). Give 2*q(t) - r(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2398 and 6758?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 19*l - 593. Give q(29).\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 226 - 1355\/6. What is the closest to a in -2\/7, -0.4, -7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 340 - 190. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118 or -1891\/16?\nAnswer: -1891\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + 22\/(-6))\/(42\/(-3231)). Let f = -7954\/77 - n. What is the common denominator of f and (71\/1*-1)\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66 + 66 - 2*z - 39*z**2 to the form c + g*z + u*z**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9452.981 minutes?\nAnswer: 567178860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 g when four letters picked without replacement from ggaggaaacggagac.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4779 is divided by 84?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1907 - 1001 - 124 = 379*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 788885900 rounded to the nearest 100000?\nAnswer: 788900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 12*d - 36. Let b = -401 + 407. Calculate the remainder when 250 is divided by o(b).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2237, 2236, 2235, 2234, 2233?\nAnswer: 2232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2)*(135\/(-15) - -15). Sort -115, 5, g, 2 in descending order.\nAnswer: 5, g, 2, -115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-144)*-28*9*8\/(-112).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120917368 by -289276.\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1149\/212 + 1043\/212. Let j = -0.8 + -4.2. Sort k, -15, j, 3.\nAnswer: -15, j, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2731041, -2730994, -2730915, -2730804, -2730661, -2730486, -2730279?\n\"Answer: 16*w**2 - w - 2731056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1574 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 0, 2*c + 2*c - 4*q = -24. Let o(d) = -d**3 - 6*d**2 - 4*d - 15. What is the units digit of o(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*c = 39*c - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -1\/5, 0.2, -0.1972?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1581 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8381.807l?\nAnswer: 8381807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 29\/16, -2\/5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 8*n = 39, 0 = -2*u - 1113*n + 1087*n - 150 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 792 + 77*h**2 - 792.\nAnswer: 77*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9300584101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, -1, 2915.\nAnswer: -1, 2, 16, 2915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2546*i - 1843*i - 272118 = 0 for i.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2*v - 70 = 2*l, -33 = -2*l + 3*v. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 12, o: 7}. Give prob of picking 2 o and 1 g.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -5\/2*w**2 - 2\/3*w**3 + 1\/4*w**4 - 23 - 17*w. Let o be u(4). Is o less than or equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*f - 1418 = 4*f, -3*a - 5*f + 1057 = 0. Let p = -6728\/19 + a. Let j = -29 - -30. What is the nearest to -1 in p, j, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -216 + 402. Let r = -329500875 - -329500689.000077. Let i = r + l. Round i to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 5*d - 17, 5*u - 9*u - 3*d = 0. Let q be 24*(30\/9 - 0). Suppose -l - u*l = -q. Solve -6 = -2*b + 3*h + 9, b - 4*h = l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 11 - 4 - 7.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*h = 6118 - 478 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 4, 4*d - 2 = 3*d + 3*a. Let m(z) = 14*z**3 - 7*z**2 + 162*z - 292. Let t be m(2). Solve -t*j = -112*j + d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w*z**3 + 3*w*z**2 + 2*w*z + 26*z**3 + 24*z wrt z?\nAnswer: 12*w + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 7*k + 2. Let m be y(6). Suppose -6*t = 3*a - 2*t - 20, -a + 9 = -t. Let i be 38\/a - 1\/(-4). Solve 0 = r - i*r - m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126 - -7) + 210 - 136?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 51*i**3 - 75*i**2 + 473*i - 401. Let u(w) = -1032*w**3 + 1500*w**2 - 9459*w + 8019. Let n(z) = 81*q(z) + 4*u(z). Factor n(g).\nAnswer: 3*(g - 15)*(g - 9)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 8)*(-125*u + 60*u + 45*u + 39*u) to the form q + r*u and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6)*12\/(-1). Suppose -4*v - 10 = -2*r, -a*r + 5*r - 6 = v. Suppose -3 = q - r. What is the lowest common multiple of 3 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -48*j - 44*j + 178*j - 62*j. Let p(l) = 11*l**2. Calculate s(p(u)).\nAnswer: 264*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 24 = 12. Is 1*6*(-1901)\/g + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 8. Let h = -0.92 - 55.08. Let o = h - -55.5. Which is the second biggest value? (a) o (b) -5 (c) y (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 304 = 158. Let u = -66 - s. Solve -3*i + 3*z - 6 = 0, u*i + 2*z = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-35)*g*g\/(g*(g\/g**(1\/3)*g)\/g*g)*(g**(1\/19))**(-50) assuming g is positive.\nAnswer: g**(-2183\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -29 - -15) + -50?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 4 - 1 + 4 - 11*v**3 in the form g + d*v**3 + s*v + p*v**2 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/(-30))\/(-1))\/((44\/528)\/(3\/369))?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x - 19 + 19)*(-x**2 - 12*x**2 - 2*x**2).\nAnswer: -135*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 5.9. Let y = -7.158 + 6.858. Let u(t) = t + 7. Let f be u(-5). Which is the second smallest value? (a) y (b) f (c) -4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((n + n - 4*n)*(-1 - 1 + 3) + n + 3*n - 3*n)*(-3*n**3 - 45837*n**2 + 6*n**3 + 45834*n**2) to y*n**3 + w + r*n**2 + d*n + f*n**4 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -51*f + 9013. What is o(170)?\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222540301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7585 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/6 + -5*(-4)\/(-30). Suppose -5*d + 2*x + 75 + 5162 = 0, -3144 = -c*d + 3*x. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*l - 103 = -34 + 712. Solve -l*p - 43 = -87 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279102551.\nAnswer: 7, 13, 43, 71327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 30. Is k >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)*-1)\/(sqrt(2) - (sqrt(24) - sqrt(48)\/sqrt(2))\/sqrt(12)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012557234914 to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-25)*-98 - (-102)\/(-1275).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -493030 by -1049.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2) + (sqrt(24)\/sqrt(192))**2) - sqrt(12)\/(-1*sqrt(12)\/sqrt(2)).\nAnswer: -sqrt(2) - 1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -376 and -0.1649.\nAnswer: -376.1649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21596.\nAnswer: 2, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 934704.\nAnswer: 3738816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469160 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2216*z - 995000. Calculate k(-449).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -814 by -1.\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19090, 19167, 19244, 19321?\n\"Answer: 77*g + 19013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 8*j**2 + 10*j - 9. Let m be q(7). Let g = 9 - m. Is g bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1208.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166235147?\nAnswer: 13, 12787319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + sqrt(320) + 1 + sqrt(320) - (sqrt(320) - (sqrt(320)*1*1 + sqrt(320))**2)).\nAnswer: 8*sqrt(5) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1. Let s(k) = 68*k + 12. Let r(n) = 28*d(n) + 2*s(n). Let y be r(-6). Let i = -489 - y. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.6, -92.16, -1 in increasing order.\nAnswer: -92.16, -1, 6.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t + p = -35*t - 4, p = -3*t - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.680668734 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1859608203.\nAnswer: 3, 619869401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*p**2 + 8*p + 0*p - p - 2*p + 43 - 4*p.\nAnswer: -137*p**2 + p + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 239 = r + k, 4*r + k = 321. Suppose -r = -4*l - 0. What is the highest common factor of 100 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/13 - 36*l**2 - 25770*l\/13 - 334400\/13 = 0 for l.\nAnswer: -160, -55, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*h + 5, 2*h - 2*p + 22 = 6*h. Suppose 18 = h*j - 2. Suppose -2*a = 4*s - 240, 0 = 4*s - s - j*a - 180. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5084 = 86450\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 20 = -0*f. Let s = 0.6 + -0.5. What is the biggest value in s, -0.3, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -34?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1665)\/(-18) - 3\/(-6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = -21*t + 462. Let n(q) = -37*q + 1. Let f(y) = 38*y - 1. Determine t*f(r) + 4*n(r).\nAnswer: 42*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10051608 divided by -25004\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 113419252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 6*z - 114 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (-6 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -5 - (-21 + 13) - 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 6 = 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 4*j + 0*j)*(-3 - 1 + 2)*(-29 + 29 - 4*j**3).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -721.\nAnswer: 34\/721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -242252243 * -5\nAnswer: 1211261215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-780)*13*100?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7391347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 86. What are the prime factors of m(23)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472042 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98311329126709\/577232076 - 8\/48102673. Let i = k - 170419. Let f = 104 + i. Is f greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 10.63\nAnswer: 1.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.645 rounded to 1 dp?\nAnswer: 27.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, b: 2, j: 2}. What is prob of sequence jppj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*j**3 - 412*j**3 + 150*j**3.\nAnswer: -97*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**37*t\/((t\/(t*t**(1\/18)))\/t*t) assuming t is positive.\nAnswer: t**(721\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**19*d)*d*d*d*d*d*d*d**(3\/4)*d*d*d)**(-39) assuming d is positive.\nAnswer: d**(1443\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5179429 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(2736) + 1)*1)**2 - (sqrt(2736) - (-5 + (sqrt(2736) + 2)**2))).\nAnswer: -10944 - 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -143299.\nAnswer: 143299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2 + 4*z. Let m = -6 - -2. Let p be (-2)\/m - (-15)\/(-10). Let j(h) = h**2 + h. Give p*f(b) + 4*j(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3465\/(-44)*(-256)\/576?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 1274.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2140 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 644044 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -172d90 (base 14) in base 6?\nAnswer: -25244402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - 3*b**2 + b**2 + (-b + b - 2*b)*(0 + 0 - 2*b) - 3*b**2 + 4*b**2 + 3*b**2 + 4*b**2 + 5 - b**2 + b**2.\nAnswer: 13*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 + 12*p**2 - 19*p**2 + 5*p**2 - p - 2*p**3 to the form z*p**3 + s*p**4 + c + m*p + r*p**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002673445 rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 826979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*r + 39 = 4*f, 30 = 3*f + 3*r. Suppose -f*v = -299 - 295. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4 = 5*c. Suppose n + 31 = 5*d, -d - 5*n = c*d - 13. Let b be 4\/(-8)*d + -1. Is -2 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3636.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*s**2 + 166*s**2 + 161*s**2 + 295*s**2.\nAnswer: 537*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16084 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynynnnnnnyyyynnnynyy. Give prob of picking 2 n and 1 y.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + ((4*sqrt(99) - sqrt(99))*-5 - sqrt(99))\/(-1*sqrt(45)\/sqrt(5)) + 0)**2.\nAnswer: -64*sqrt(11) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -519 and -518 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -394 by 170.\nAnswer: -197\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3 - 10*c**2 + 17*c - 8 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(105)\/sqrt(7))\/((sqrt(450)\/sqrt(9) - sqrt(50) - sqrt(50))\/sqrt(10) - sqrt(5)))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -14*a**2 + a. Let q(j) = j**2. Let t(n) = -3*q(n) - y(n). Find the second derivative of t(m) wrt m.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4887746 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.19 - -0.2. Let r = 0.012 + -0.062. Let m = r - v. Which is the biggest value? (a) 1\/6 (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*z - 496 = 856 + 28 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 2*v**2 - v + 8. Let k be s(3). Suppose -27*o + k*o = -4589. List the prime factors of o.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/5 - 74059516*j - 3428007443846410 = 0. What is j?\nAnswer: -92574395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.75087 milligrams to tonnes.\nAnswer: 0.00000003175087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (333 - -8) + 1\/(12\/(-60)) and 210.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 - 9 = 0. Calculate the lowest common multiple of 22 and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24364220 (base 7) to base 12\nAnswer: -893a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96711380?\nAnswer: 2, 5, 4835569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 81 = -1923. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5648085 and 162.\nAnswer: 101665530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/22 + -17 + 1288\/77. Is x <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 - -58. Let x = -11 - -11.3. What is the smallest value in -4, x, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 + 221. Suppose m - 34 = 4*c. Calculate the remainder when 28 is divided by ((-6)\/(-2))\/(6\/c).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzggzgggzzgzpzgzz. Give prob of sequence pzpg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128.664 millilitres to litres.\nAnswer: 0.128664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r**2 + 1 - 2*r**2 + 4*r**2)*((2 - 2 + 4)*(0 + 3 - 1) + 0 + 6 - 3 + 0 - 6 + 7) to the form a + m*r + u*r**2 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1 - -2) + (-6 - -11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from {p: 3, f: 8, n: 7, j: 2}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*(-4)\/40*5. Let w be (-3)\/s*24\/(-9). Suppose -w*t - 10 = -4*n, -2*n - 3*t + 12 = n. Solve 2*a = -4*k + 10, -n*k - k + 12 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a**2 - 2*a - 646. Let n(y) = 15*y. Determine n(b(x)).\nAnswer: -180*x**2 - 30*x - 9690","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4144 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a microgram in nanograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 179 + -187 + 8 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -59.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1506*s**2 - 9211*s**2 - 736*s**2 - 692*s**2 - 7888*s**2.\nAnswer: -20033*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3314801\/270754 - 759\/62. Let j = -423559\/43670 - t. Find the common denominator of j and ((-9)\/(-7))\/(10\/315).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3191933 to the power of 1\/2, to the nearest integer?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h**2 - 4*h**2 + 2*h**2)*(4*h + 4*h - 6*h) + 267*h + 45*h**3 - 267*h to the form c + b*h**3 + f*h + z*h**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9.9 (b) 5 (c) 2\/3 (d) 0.1 (e) -11584\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 138\/47 != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 3. Let t be (-16)\/4 - -8 - (0 + a). Suppose -t*j + 81 + 93 = 0. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/(-39)*3\/(-5). What is the nearest to 1 in d, -0.3, 1.9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2*y - 10 = -2, 3*r = -2*y - 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**4 + 10*j**3 + j**3 + 10*j**2 - 9*j**3 + 0*j**4 in the form m*j + t*j**4 + h*j**3 + r*j**2 + g and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/((-36)\/(-353)) - 11\/((-990)\/(-20)). What is the highest common factor of v and 10023?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h + 30. Let x be p(4). Let r(g) = 9 - 2*g**2 - 2*g - 4*g + 0*g - 8 + 3*g**x. Let v = 13 + -9. What is r(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*a + 100 - 32. Let n = -16.2 + 19.28. Let g = n + -0.08. What is the third biggest value in a, g, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((1\/(-1))\/1)\/((-27)\/(-11 - -4628)) and 399.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 d when four letters picked without replacement from kdkmdddmdmmddpddkkd.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 38*r - 297 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 178692 and 424932.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 709626379 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*f**2*h**2 + 4*f**2 + f*h**2 - 3*f + 11866*h**2 wrt f.\nAnswer: -8*f*h**2 + 8*f + h**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2330*n - 86 + 243810*n + 86.\nAnswer: 241480*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1348314, 5393282, 12134896, 21573156, 33708062, 48539614, 66067812?\n\"Answer: 1348323*j**2 - j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/4963 + 302551\/238224. What is the common denominator of (-1310)\/(-12)*2\/30 and q?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2398 - 2316) + (-95 - -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 + -52. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1494 (base 10) in base 7?\nAnswer: -4233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 0.1 (c) 8\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 2*m = 0, 4 = j - 9*j + 5*j + 7*j + 4*m - 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-20)*n)\/(n*(n\/n**25)\/n))**(2\/7) assuming n is positive.\nAnswer: n**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 26160000 to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 234?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52028665 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-150)*-5*24\/(-42).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (-3*sqrt(104) - sqrt(104)))\/sqrt(2))\/(sqrt(484) + sqrt(484)*-1 + sqrt(484)) + (3 + 1*sqrt(13) + 1 + sqrt(468) + -1)**2.\nAnswer: 467*sqrt(13)\/11 + 646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/24675 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 38*l + 4456. Give y(-105).\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(28)*1 + (sqrt(336)*2)\/sqrt(12))\/((sqrt(4) + sqrt(24)\/(sqrt(6)*-1 - sqrt(6)))*-1).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -35*n - 111. Let f be u(-5). Is 3 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57\/2 - -28. Suppose v = 6*v - 5*j + 5, 2*v - 5*j + 5 = 0. Is i at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/68 (b) -2 (c) 4 (d) 2 (e) 3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 311051. Let v be o(0). Let r = 111051 - v. What is r rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -3*v**4\/4 - v**3\/2 + 14*v**2 - 3*v - 8. Let b(n) be the first derivative of s(n). Find the first derivative of b(j) wrt j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*j**3 + 13278070*j**2 + 18547635*j + 5269250 = 0.\nAnswer: -1, -25\/63, 42154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen quarters of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1215637956*h**2 - 278928*h + 16 = 0.\nAnswer: 2\/17433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 n when four letters picked without replacement from {s: 6, r: 8, n: 3}.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 3:06 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 22 + 2 = 4*s, 0 = -2*y + 4*s + 36. Let z(v) = 2*v**3 + v**2 - 2*v + 1. Let x be z(1). Let c be 2\/y + x\/(-12). Solve c = l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 710?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29916 and 61830?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.8 - 27.511. Let a = t + -0.349. Which is bigger: -14 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148276279.\nAnswer: 37, 569, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, k: 2, f: 1, h: 1, z: 2}. What is prob of picking 2 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -8. Is m less than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 714 and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 18*x + 0*x**2 + 0*x**4 + 0 - 13\/10*x**5 - 3*x**3. Find the second derivative of z(f) wrt f.\nAnswer: -156*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:10 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 18011915.355 to the nearest 100.\nAnswer: 18011900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12253, -26207, -40161, -54115?\nAnswer: -68069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 8*p. Let g(s) = 2*s**2 - 7*s + 1. Let y(x) = 3*g(x) - 2*z(x). Let t be y(3). Solve 9 = i + 2*f, 4*i + t*f = f + 27 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5*x = -21, x = w - 3*x - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - (sqrt(1573) + 1))**2 - sqrt(130)\/(sqrt(10)*-1).\nAnswer: 1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1367 - -5405\/4. Calculate the common denominator of l and (-23780)\/1968 - (0 + 1\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 46*a**2*g + 2*a**2 - 2*a*g + 8*g - 1 wrt a?\nAnswer: 92*a*g + 4*a - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(9\/(-3))*(-52)\/(-156).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10159763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pytvrjv. Give prob of picking 1 v and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-one halves of a millennium?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, v: 7, r: 3, b: 4}. Give prob of picking 1 r and 2 w.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79751 is divided by 19222.\nAnswer: 2863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 478 = -5*a - 510, 5*g - 30 = 5*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1274027 is divided by 254798?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 106\/(-8) + 19116\/(-2832)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8014 less than -8014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -102*c**2 + 8057*c + 100. What is n(79)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -8. Let u(a) = -a - 2 + a + 1 + 4*a**3. Let x(p) = 6*p**3 - 2. Let c(d) = w*x(d) - 7*u(d). What is the first derivative of c(b) wrt b?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - 183. Let s = x + 152. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*j + 129 = -7*j, 126 = 3*m - 4*j. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 327*n - 1338. Let s be m(-4). Find g, given that 24\/5*g**3 - 22\/5*g**2 - s*g**4 + 7\/5*g + 0 + 1\/5*g**5 = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-2) - 148\/37. Solve 5*y - 3*d = -8, -5*y - d - n*d = 40 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 126?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r**3 - 3*r**2 - 3*r + 3. Let a(l) be the first derivative of 4*l - 134 - 2*l**2 - 9\/4*l**4 - 4\/3*l**3. Give -3*a(u) + 4*q(u).\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0 - 3 + 3 - 1 + (-2 - 3 + 2)*(-4 + 3 + 3))*(5*p - 5*p - 6*p**2).\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21776 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33433737394 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaaaiiiiiii. Give prob of picking 2 a.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43042 (base 5) to base 4.\nAnswer: -231101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10751 and 2045748.\nAnswer: 2056499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-792)\/(-110)*437\/1748?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 19*x**6\/120 + 11*x**3\/3 + 8*x**2 - 20*x. Let w(n) be the first derivative of l(n). Find the first derivative of w(a) wrt a.\nAnswer: 57*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1120463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-27) + (-6)\/(-27). Let m = 2.01 - 0.01. Which is the biggest value? (a) 0.5 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13102 (base 5) to base 10.\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 4\/24683, 2\/9, 2, -2 in descending order.\nAnswer: 2, 3\/2, 2\/9, 4\/24683, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 33 + -18 + 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254879942 take away 0.283?\nAnswer: 254879941.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -32*d**3 - 4*d**2 - 5*d - 14. Let p be n(6). Round p to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4103749 to the nearest integer?\nAnswer: 2026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4036620)\/(-1092) - 6\/(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 7*r**2 + 12*r + 34. Let b be j(-8). Suppose -21 = 4*d - 93. What is the greatest common divisor of d and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 6 = 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97310548?\nAnswer: 2, 41, 43, 13799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -219537270 divided by -2?\nAnswer: 109768635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 49. Let g(i) = -34*i + 1 - t*i + 109*i - 36*i. Let c(d) = -d**2 - 9*d - 2. Determine 2*c(s) + 5*g(s).\nAnswer: -2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 462 and 1124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 3. Let g be y(1). Suppose -3*j - 2*k = -347, -g*k - 573 = -5*j - 4*k. Let t = -113 + j. Solve -p = -t*p - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38367 and 1066359?\nAnswer: 67180617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 4*m. Let v(k) = k**2 - 17*k - 65. Let g be v(20). Let z(s) = -s**2 + 3*s. Calculate g*f(q) - 6*z(q).\nAnswer: -4*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 43*n**2 + 3. Let v be h(3). Suppose 5*f - q - 2906 = 0, -4*f + 2715 - v = -q. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*o**2*q**2 + 111*o**2*q - 3*o**2 + 28*o*q**4 - o - 16*q**2 + 73*q wrt q.\nAnswer: 20*o**2 + 336*o*q**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (132\/(-3))\/(-2). Suppose -x = -2*m - 5*j, 5*j - 12 = 2*m + 4. Suppose 17 + 15 = 3*c - z, 2*c = m*z + 28. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 16*r**2 + 351*r - 2. Give h(-22).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(b - 1 + 1) + (-3 - 3 - 3)*((2 - 2 + 2)*(3*b - 5*b + b) - b - 4*b + 4*b) + (-4 + 4*b + 4)*(0 - 3 + 2).\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38010 and 9774?\nAnswer: 342090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0470547l?\nAnswer: 47.0547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(-36*p - 136*p - 21*p).\nAnswer: 193*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/7 + 11\/35. Suppose n = -3*t - 496, -4*n - 508 = -4*t + 7*t. Let z = t - -162. What is the smallest value in -5\/3, h, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:19 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4531, -9531, -14531, -19531, -24531?\n\"Answer: -5000*d + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/2 - 4719*c**2\/2 + 4713*c.\nAnswer: 3*c*(c - 1571)*(c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70680 and 23684640.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 3.402104.\nAnswer: 30.618936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -666*z**2 + 286*z**2 + 184*z**2 + 182*z**2.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + (-3 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5179580267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 p when three letters picked without replacement from {n: 1, e: 3, h: 7, p: 2, t: 4}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. Suppose -y*t + 5 = -11. Solve 0*j - 20 = t*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -62 (b) -4\/3 (c) -1 (d) 0.01 (e) -0.1 (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyynyyyyyyy. Give prob of sequence yn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1663*v**2 + 10*v - 41. Let j(f) = -4989*f**2 + 28*f - 116. What is 6*j(o) - 17*y(o)?\nAnswer: -1663*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -6178\/5, -0.2, -1?\nAnswer: -6178\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(171) - 2*sqrt(171) - sqrt(171))*5)\/(-2*sqrt(900))*1.\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/685 and -9\/14522?\nAnswer: 72610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10729.\nAnswer: 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1495856\/51 or -29330?\nAnswer: -1495856\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*m**6 - 16*m**4 + 13*m**2 wrt m?\nAnswer: -960*m**3 - 384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/860400 and -77\/900?\nAnswer: 860400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4545 and 315?\nAnswer: 31815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - -5*(sqrt(95) + sqrt(95) + sqrt(95) + 2*sqrt(95) + sqrt(95)))\/(sqrt(45)*-2) + 1.\nAnswer: -31*sqrt(19)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**2 - 23*a - 18*a**3 - 10*a**3 + 27*a**3 + 8 + 15*a. Calculate p(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**7\/70 - l**5\/15 + l**2. What is the third derivative of m(d) wrt d?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1408 + -1390. Let l = -2 - -12. Let t = l + -1. What is the greatest common divisor of t and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -393*t**3 + 3*t - 4519*t**3 - 2587*t**3 - 3*t - 5866*t**2 wrt t.\nAnswer: -44994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - -1.15. Let b = f - 4.2. Sort -0.06, 2\/13, b in increasing order.\nAnswer: b, -0.06, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjgonwswsgnnwsn. Give prob of sequence ssno.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3\/7))**(-14\/11)*(d\/(d\/(d**(-8)*d))*d)**(-18\/13) assuming d is positive.\nAnswer: d**(1084\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36539 (base 15) to base 6.\nAnswer: -3414200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 8:57 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 444057, 444056, 444055?\nAnswer: 444054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 60 = 7*f. Let o be 2\/f*7\/14. Are o and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1354?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 963929665*u + 314566333.\nAnswer: 963929665","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 196934.6 to the nearest one hundred.\nAnswer: 196900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-12) - (-726)\/(-18). Let u = -37 - d. Let l(y) = y + 2*y - u*y + 2. Calculate l(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 75 = k + 37, 0 = -2*b - 2*k + 88. Suppose -3*y = -2*y - b. Suppose -2*t = 3*i - y - 0, -3*i = -4*t + 51. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*a**3 + 24*a**3 + 29*a**3 + 4.\nAnswer: -2*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 2:42 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 400*g**3 + 360*g**2 - 39*g + 1.\nAnswer: (g + 1)*(20*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 5691*p**2 - 7937*p**2 + 8.\nAnswer: -13628*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*((sqrt(405) + -2 - sqrt(405))**2 + 3 + (sqrt(405) - (-3*sqrt(405) + 4)**2)) + 1.\nAnswer: -18269 + 1125*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - s + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123 - 21. Let k = c - 95. Calculate the highest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 263, 4, -72, 5 in descending order.\nAnswer: 263, 5, 4, -1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 11092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kulkkukuwku. What is prob of sequence kukw?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32 or 14?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - 4) + (1 - 2). Suppose 0 = z - t. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83434844 and 124.\nAnswer: 2586480164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*f - 14, 4*i = 3*f + 2*f - 12. Calculate the common denominator of (-12)\/18 - (-1)\/i and 125\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 55 (c) -22 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 8*y + 24 = -4*y, 12 = v + y. Is 14 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5405979?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4*1)\/(14\/7). Let j be (y\/4)\/(2\/12). Solve 6 = j*a - 3*k, -3*a - k - 3*k - 15 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -42*f**3 - 3526*f**2 + 175*f + 578. Determine l(-84).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3626507754 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 1\/12*t**4 + 1\/60*t**5 - 38 + 0*t - 13*t**2 + 0*t**3. Let f(u) be the second derivative of m(u). Suppose f(n) = 0. What is n?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**2 + 7*j**3 - 6*j**3 - 2*j**3)*(33 - 8 - 1) in the form l*j**2 + d*j**3 + n + r*j and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 10 = -t. Suppose 0 = -3*r + t*v - 3, -2*r = 2*v + 3*v - 17. Let l(i) = 11*i**3 + i. Does 12 divide l(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 + 3*d**2 + d. Let h(g) be the third derivative of -g**5\/60 - 7*g**2. Determine 5*h(p) + k(p).\nAnswer: -2*p**3 - 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 876, 1247, 1620, 1995, 2372?\n\"Answer: v**2 + 368*v + 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 5 = -5*o - 0*z, -16 = -4*o - 2*z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9095 - -9095.3. Let k = -56 + 160\/3. Which is the biggest value? (a) -1\/2 (b) d (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 - w**3 + 6*w**3)*(-1 + 2*w**2 + 1 + (w**2 - 2*w**2 + 0*w**2)*(0 + 1 - 2) - w**2 + w**2 + 2*w**2).\nAnswer: 10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-95)\/15 + 4)\/((-10)\/11550)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8340080587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -958 + 958 - 8*w**2 - 43*w.\nAnswer: -8*w**2 - 43*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -54, -73, -32, 111, 398, 871?\n\"Answer: 7*p**3 - 12*p**2 - 32*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18965 is divided by 1704.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28064 divided by 3508?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**4 - w**2 - 3*w**4 - w**2 + (-w**3 + 0*w**3 + 8*w**3)*(-4*w - 4 + 4) to g*w**2 + i*w**4 + j*w**3 + k*w + b and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87.1 + -87. Which is smaller: -45 or l?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 69.91?\nAnswer: -69.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05635553 rounded to five dps?\nAnswer: -0.05636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 2*i - i)*(i - 4*i + 2*i) + i**2 - i**2 + i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + -115622?\nAnswer: -115612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2*1*46\/(11960\/(-26))*(-30)\/7\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 2) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1333162207?\nAnswer: 13, 37, 137, 20231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22231 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from jzjxajxaj?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -14) + (-22 - -8) - -22.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2239 and -3.\nAnswer: -2242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404.2 rounded to the nearest ten?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*x - 969 - 1320 = 561 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1815)*2 - sqrt(1815) - sqrt(1815)) + sqrt(1815))\/(sqrt(12)\/sqrt(4)*-6) + sqrt(35)\/(1*sqrt(7)) + (sqrt(315)\/sqrt(7))\/sqrt(9))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/131377162 and -53\/131377162.\nAnswer: 131377162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -44104, -44105, -44106, -44107, -44108, -44109?\n\"Answer: -i - 44103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 4:53 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 15 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 1:48 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -2*y**2 - 199 + 5*y + 1\/3*y**3. Determine f(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 2:37 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 8*q**2 + 19*q + 17. Let m be i(-4). Suppose 2*t + 4*r - 56685 = -10497, 3*t - 69304 = m*r. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -257 + 260. Let l be (-3852)\/(-45)*(-10)\/(-4). Find the third derivative of -l*i**2 - 183*i**2 + 415*i**2 - 8*i**3 - 19*i**p wrt i.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -23435\/6, 1.5 in decreasing order.\nAnswer: 1.5, 2\/3, -23435\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011001110011111010001 - -1000010?\nAnswer: -11011001110011110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7630074 (base 9) to base 11\nAnswer: 2346a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qezekxxkexzkckz. What is prob of picking 2 e, 1 x, and 1 z?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -351.4 and -0.4.\nAnswer: 140.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/68 and -21\/2104.\nAnswer: 35768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*o - 31, q - 6*q + 91 = -4*o. Suppose -q = -f + 83. Suppose 0 = 4*m - f + 6. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 16*h**5 - h**4 - 26*h**3 - 29*h**2 - 9*h + 11. Let f(v) = -3*v**5 + 5*v**3 + 6*v**2 + 2*v - 2. Let l(o) = -2*b(o) - 11*f(o). Factor l(w).\nAnswer: w*(w - 2)*(w + 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*n - n**2 + 48*n + 2*n**2 - 15*n - 13*n in the form g*n + p + a*n**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - d + d**3 + (-d + 0*d + 0*d)*(7*d**2 + 0 + 0) - 3*d**3 + d**3 + 0*d**3 - 188*d - 12*d**3 + 188*d.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -218289379 divided by 2443\nAnswer: -89353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165 - 166 - 354 + 685 + 369*v.\nAnswer: 369*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7893, 8121, 8349, 8577?\nAnswer: 8805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + sqrt(112) - (3*(-2 + sqrt(2268)))**2.\nAnswer: -20449 + 652*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 19*g - 24. Let b be a(5). Let c = 219 - b. Suppose 5*f - c - 237 = 0. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-2 + (-133)\/(-35).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**3 + 404*u - 404*u.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from ddddqbodqodwodddqod.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 48800039, 48800044, 48800049, 48800054, 48800059, 48800064?\n\"Answer: 5*t + 48800034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 125 + 275. Suppose -x = -2*j - 3*z + z, z - 5 = 0. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5167, -4565, -3963, -3361, -2759, -2157?\n\"Answer: 602*p - 5769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43373167 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 181805 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/6*(-68)\/(-51). Suppose 3*d + i*a - 49 = 0, 5*d - 4*a = -3*a + 86. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1944*f**2 + 1944*f**2 - 62*f**4)*(42 + 38 - 294 - 163) to g*f**2 + c*f**3 + r*f**4 + j*f + s and give r.\nAnswer: 23374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 256?\nAnswer: -76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, e: 3}. What is prob of sequence ee?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/5 - (-105)\/25. Let j be -3 + -1 + (o - -2). Suppose j*s + 9 = 3*s. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -k + 10. Let i(o) = -2*o + 8. Let n be i(0). Suppose -n*b + 364 + 980 = 0. What is the greatest common factor of k and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, r: 7, d: 6}. What is prob of sequence rrrd?\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1276 + -1275. Sort 73\/4, z, 5, 4.\nAnswer: z, 4, 5, 73\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129710391 minus -467?\nAnswer: -129709924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j = 15 + 41 + 22. Solve j*f = -m + 7, 5*f + 20 = m + 4*m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 4*z**2 - 3*z - 1. Let o be s(-2). Let c be 9\/66*(-4)\/o. Let q = -104\/105 + 6\/7. What is the closest to 0.1 in q, 3\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 7 + 10)*(-15*r + 3*r + 2*r).\nAnswer: -80*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2525)\/(-404)*4\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3051449 or -15257242\/5?\nAnswer: -3051449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -854*t**2 - 843*t**2 - 859*t**2 + 2559*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1848)\/(-35) + 5\/25. Let y = 35 + 102. Suppose -2*o = -3*x - g, 6*o - 3*x = o + y. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325645602 - -0.107.\nAnswer: -325645601.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 428*n - 23 = -432*n, -16*p - 3*n - 33 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b + 20. What is z(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -2\/9, 0, -2\/3, 1\/7, -2\/129?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8403 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -8) + 30 + (-6 - -15)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-17 - (13 + -7) - -10).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -6. Let x = -9\/32 + 571\/96. Let p = 5 - x. Sort p, 1, w in descending order.\nAnswer: 1, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55501 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7420, 0, 3 in decreasing order.\nAnswer: 3, 0, -7420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*g = 150*g + 80. Let q = 5 + -2. Calculate the lowest common multiple of q and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 426903525?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*u + 19. Let r = 10 - u. Differentiate -j + 2 + r*j**3 + j - 5*j**3 with respect to j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**3 + 17*k + 10. Let c(l) = l - 2. Determine 5*c(p) + s(p).\nAnswer: -3*p**3 + 22*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*u + 8*u + 75*u**2 + 46*u**2)*(-2*u + 3*u - 4*u) in the form n*u**2 + o + h*u + p*u**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (30\/375)\/((-3968)\/(-800))*5\/((-5)\/(-14))\nAnswer: 7\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/6, -27, -30?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28533837971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 3:17 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2115.6 + 2116. Sort o, 0.3, -1\/3, 0.009.\nAnswer: -1\/3, 0.009, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 12:58 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/132 and -127\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**2 + 22*w - 77. What is the hundreds digit of m(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 7*w - 25, 3*f - 4*w + 3 = -8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575\/525 - (-2)\/(4\/2*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(7)*-5 - (-3 + sqrt(56)\/sqrt(8)).\nAnswer: 3 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317595?\nAnswer: 3, 5, 31, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*z + 43 + 25, 12 = -f + 3*z. Let g = -8 - f. Suppose 14*k - g*k = 444. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.3 - -46.7. Let b = u + -59.957. What is b rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31730420 - -5?\nAnswer: 31730425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1010001012222 (base 3) to base 8\nAnswer: 2203024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 6) in base 14?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6961645.\nAnswer: 5, 73, 19073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 974983311 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/28965 - -87809\/1351700. Find the common denominator of o and 53\/189.\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45927.8 to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 3785197.08?\nAnswer: 1514078.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1440760398?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 z when three letters picked without replacement from {r: 4, w: 3, z: 1, n: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6392 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4278*z**2 + 1. Let l(j) = 9160*j. What is o(l(i))?\nAnswer: 358948156800*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2 (b) 6 (c) 4.4 (d) 4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 m when three letters picked without replacement from {i: 1, c: 5, t: 1, m: 2, n: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006519021176 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 11907020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340623388.\nAnswer: 2, 7, 499, 24379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -195 + 174. Is 15 a factor of (-1107)\/d - -2 - 4\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14552.13 millilitres in litres?\nAnswer: 14.55213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1.04, 1.31 in decreasing order.\nAnswer: 1.31, -1, -1.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3\/6 + 348*o**2 + 443897*o\/6 - 378635 = 0.\nAnswer: -1847, -246, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17006 is divided by 93.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -81*i**2 + 1126*i + 1124. Determine c(-1).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r. Let a(i) = -20771*i. Calculate a(m(z)).\nAnswer: 83084*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 - -59 - (-1 + 5 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19840 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -93, -103, -121, -147, -181, -223, -273?\n\"Answer: -4*l**2 + 2*l - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 896175 and 1275?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l**(-8)*l*l*l*l\/(l**(2\/5)\/l*l))\/(((l**(-10)*l)\/l)\/l**(-5\/6)))**(-12\/7) assuming l is positive.\nAnswer: l**(-466\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -40, -61?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 71020.84701 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 351 + -206. Let x = j - 145.00061. Round x to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*b + 8 - 30*b - 23*b + 22.\nAnswer: 2*b + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.7419053*0.5\nAnswer: -0.87095265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -8 - (-3 - ((13 - 1) + 46 + -48))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 10*b**2 - 14*b - 12. Let o be (-16)\/3*(-36)\/16. Let a(z) = -z**2 + z + 1. Let r(h) = o*a(h) + n(h). Factor r(c).\nAnswer: -2*c*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2248 and -243.02.\nAnswer: 2004.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8*-3 + -1)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890947?\nAnswer: 883, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -1536*r - 18579. Calculate v(-12).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.9 times 28.3?\nAnswer: 1072.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1331*v**2 + 20*v + 1. What is g(1)?\nAnswer: 1352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2465123 (base 7) to base 12.\nAnswer: -134535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -36. Suppose -3*t = -4*h + 9 + 15, y = 4*h - 4*t. Let f be 4\/(-6) - (-14)\/h. Solve 0 = -f*z - 5*d - 37, -3*z + 2*z + d = -2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(56) - sqrt(336)\/(sqrt(12)\/sqrt(2))) + sqrt(56))*-2)\/((sqrt(16)\/sqrt(2))\/sqrt(4)*1).\nAnswer: -4*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o + 562. Is x(-15) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and -808.\nAnswer: 64.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -448*k**3 + k**2 + 3176*k + 565. Find the first derivative of c(z) wrt z.\nAnswer: -2688*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 + 4*h - 8. Let t(v) = -v + 1. Calculate j(s) + 5*t(s).\nAnswer: -3*s**2 - s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) 238 (c) -10430\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + 5*s - 6. Suppose -1 = -r + 2*b - 2, -3*r + 3*b = 0. Calculate z(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 1. Which is bigger: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 + 37*j**2 - 47*j + 259. Let v be c(-20). Sort v, -9, -17, 10.\nAnswer: -17, -9, v, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 2, f: 3, j: 2, l: 1, m: 2}. Give prob of picking 2 m and 1 k.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 v when three letters picked without replacement from oqefqeqqeewqqqvq.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y - 7*y + 0*y)*(-3 - 2 + 2) to t*y + i and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from jdddtjvvsqjvjqtq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 9*z + 21. Let b be k(2). Let u = 583 + b. Is 45 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 1 - 52*s + 15*s + 1 + 15*s.\nAnswer: -24*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 + 10*h + 19. Let j(x) = -5*x**2 - 15*x - 29. Let o be (-3)\/5 - 301\/(-35). Let l(g) = o*r(g) + 5*j(g). Suppose 5*a = 2*a + 15. Calculate l(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 1825 = 721. Let z be 1\/(-2) - d\/(-8). Let s = 62 - z. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 2194?\nAnswer: -2194.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.31 - -0.11. Let m = -10.5 + 10. What is the nearest to o in 3\/4, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2*k - 14, s - 3*k = -0*k. Suppose 5*a = -4*f + 27, s*a + 2*f - 18 = -f. Suppose -a*y + 48 + 42 = 0. 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: Suppose -h = -5*z + 12, 3*z - 2*h - 3 = -0*z. Solve -z*p + 5*f - 15 = 0, f - 2*f = -2*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1504192.\nAnswer: 2, 19, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 896 = -4*y - 4*y + 24*y. Is y smaller than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 - (4 + -6) - (-9 - -3). Solve k = 2*i - 10 + 16, 2*k - 6 = -z*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/3)\/78*(-20)\/(-2)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5100 + -2961. Let w = v - 2140.429. Round w to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 46*k**2. Let n(f) = -9*f**2. Give u(n(g)).\nAnswer: 3726*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 178*i**2 - 220*i - 3600.\nAnswer: 2*(i - 5)*(i + 4)*(i + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 445971 divided by 88.\nAnswer: 445971\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltt when three letters picked without replacement from ttttttll?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.954 - -0.046. Let q = 22225 - 111778\/5. Let m = -131 - q. Which is the closest to -1\/4? (a) t (b) -0.01 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1015 to the nearest ten.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - 2*v**2 - v**2 + (v - 2*v - v)*(34 - 35 + 3*v + 14) + (0*v + 0*v + v)*(2*v + v - 5*v).\nAnswer: -10*v**2 - 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*l + 560, l - 397 - 147 = -5*j. Calculate the common denominator of ((-34)\/j)\/(1\/21) and ((-1085)\/174 - 1) + (-7156)\/(-103762).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5365 - 7717.\nAnswer: -2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1095\/13219?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 5*d - 24. What is f(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -s + 36, -12 = 4*d - 7*d. Let j be 6\/(-9) + (-122)\/(-6). Let i = j - s. Does 2 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 1. Let j(y) be the second derivative of y**3\/6 - y**2 + 341*y + 10. Determine 3*j(z) + 4*m(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlqqqlqqqqlqqq. What is prob of sequence llqq?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**8\/1680 - c**7\/168 + c**6\/45 - c**5\/30 + c**3\/3 + 14. Let k(v) be the third derivative of o(v). Factor k(a).\nAnswer: a*(a - 2)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 5. What is z(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**6\/60 + k**4\/24 - k**2 + 2*k. Let a(j) be the first derivative of v(j). Let q be -12 + 9 - -1*2. Calculate a(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2428725 by 3.\nAnswer: 809575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 8) + -13 + (-3 - -5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r + 1. Let v(u) = u - 1. Calculate -2*p(g) + v(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -7\/12, -73.3, 0.1, 1, 4, 5?\nAnswer: -73.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/319 and 0.0068571 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 12452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(1 + 0 + 1). Suppose -4*m - 4*u = 48 + 92, u - 130 = a*m. Let n = -3 - m. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(21) + sqrt(2100)*-1))\/((sqrt(48)\/sqrt(4))\/sqrt(4) + (-1*sqrt(432) - sqrt(432))).\nAnswer: 18*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 164742?\nAnswer: 164741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h + 3. Let z(y) = -31*y - 59. Let i be z(-7). Suppose -m + i = 161. Calculate l(m).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61624317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1527*u - 111420. Give l(73).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 14*n - 13. Let p be o(-14). Let m(l) = 42*l**2 - 5*l + 44. Is m(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 5*g + 6. Let d be i(-6). Solve 0 = 4*y - d + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3903 (b) -1.21 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-54)\/405)\/((-12)\/(-45)). Sort -1\/3, a, 5, 23.\nAnswer: a, -1\/3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2662978 to the power of 1\/2, to the nearest integer?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -185*q - 2403. Let l be w(-13). Solve 3*z = l*a - 10, 10*a + z = 9*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**3 + 5*t - 5*t + (-7*t**3 + 47*t**3 + 23*t**3 - 8*t**3)*(-10 + 7 - 7) as u*t**3 + w*t + v + m*t**2 and give u.\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 68350, -5 in decreasing order.\nAnswer: 68350, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 67*z**2 + 468*z - 42268. Determine p(64).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -86, 5, 3 in increasing order.\nAnswer: -86, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/11, -1, -235, -311 in descending order.\nAnswer: 4, 2\/11, -1, -235, -311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + 9271*g**2 + 9331*g**2 - 18664*g**2 in the form v*g + m + u*g**2 + a*g**3 and give u.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18478 - -591217\/32. Calculate the common denominator of -37\/64 and w.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 + 0*o**2 + 7*o**4 - 2*o - 17*o**4 + 1091 - 1088 as k*o**4 + u*o**3 + x + s*o**2 + y*o and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 1\/5, 4, 3, 1365?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (20 - 2 - 37)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -113*d + 57*d + 54*d. Let k(i) = -42*i. Give g(k(n)).\nAnswer: 84*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14 - ((-136 - -82) + 131)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26317 + 265*b - 26317.\nAnswer: 265*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(95)*-1)\/(sqrt(80) + sqrt(5)) + 2.\nAnswer: 2 + 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9905 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (109 + -94)\/((-20)\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 640671 and 1708456.\nAnswer: 5125368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**5\/20 + 2*m**4\/3 - 17*m**3\/6 - 27*m**2\/2 - 15*m. Let u be k(-9). What is the greatest common factor of u and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -406900444 and -406900445 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 1\/2*t**3 - 70 - 6*t**2 - 30*t. Let z(j) = 0. What is j?\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d - 4*r + 18 = 0, -4*d + 2*r + 4 = 0. Let b(w) = 9 + 2 - 10 + w**d + 3*w**2. Let m be b(1). Solve -m*c - 9 = 2*l, -c - 5*l - 7 = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 23 + 53 = 0. Suppose s*r = 11 + 169. Let x be (-150015)\/r + 2\/4. Round x to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -19\/5, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9513009?\nAnswer: 3, 11, 307, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-2) + 9\/((-27)\/6). Suppose 2*b - 4401 = -x*d, -b + 0*d = 5*d - 2204. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635130891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/18 - (1 - (-64)\/6). List the prime factors of 786*q\/(-88) + (-4)\/22.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 567\/22348 - -1\/604. Let f = 104\/259 + d. Let t = -50 + 56. Is f at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 14. Let n = -10 + 20. Let h be g(n). Suppose -h*t - 3 = -t - 3*x, 2*x = 3*t + 2. Solve y - 3*w - 4 = -t*w, -y = 4*w + 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -441333441111?\nAnswer: 441333441120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/80534 and -17\/14.\nAnswer: 563738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = 0. Let l(k) be the third derivative of -k**5\/60 - k**4\/24 + 4*k**3 - 2*k**2. Does 9 divide l(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -42 + (4 - 4) - (19 + -27).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and 1\/20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 394 + -397.38. Let m = 3.379863 + t. What is m rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 81 = -4*g. Factor -37*d + 14 + 11 + 7*d + g*d**2 + 160*d.\nAnswer: 5*(d + 5)*(5*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (11 + 5 + 2 + -6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.2 (c) -2 (d) -7954 (e) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*w - 4. Suppose -1 = 2*j - 7. Let v(x) = -j*x**2 - 2*x**2 + 12 + 3*x**2 + 10*x. Let t(r) = -r - 1. Give w*t(u) + v(u).\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/47, 0.0751, 0.06, -2, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i - 22. Let c be v(11). Let k = 94 + c. Does 11 divide (-408)\/16*(-44)\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 2:26 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 - 138?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 + 188*a**2\/3 - 2369*a + 22560.\nAnswer: -(a - 141)*(a - 32)*(a - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**8\/2800 - w**6\/300 + w**4\/40 + 7*w**3\/3 + 11. Let t(o) be the third derivative of g(o). Let t(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5973 is divided by 588?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1909, 3440, 0.3 in ascending order.\nAnswer: 0.3, 1909, 3440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743533 is divided by 485.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -23*d**2 - 66*d + 13. Let t be s(-3). Let j = 9 + -5. Solve -5*z = -t*z - j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 164, 184, 202, 218?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 6*a**2 + 3. Suppose 4*k - 11 = -2*f + 9, 4*k = -5*f + 38. Give d(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (321\/6)\/((-6)\/(-12)). Let a = 394 - y. List the prime factors of a.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10182*h - 11633*h + 9590*h.\nAnswer: 8139*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/41412 and 44\/7801.\nAnswer: 11139828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 5*s + 5. Let x be m(5). Let n(a) = a**3 - 5*a - 4. Let o be n(x). Calculate the highest common divisor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1660)\/6)\/((-146)\/219). Calculate the greatest common divisor of 747 and m.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -28. What is the first derivative of 73*b + z*b**3 - 73*b - 1 wrt b?\nAnswer: 33*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 + 2 + 5 - 6*u**2 - 4*u**2. Let g(a) = -2*a**2 + 3. Give 2*c(i) - 5*g(i).\nAnswer: 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 27 = -11*s. Suppose s*o + 0*o = 180. Let c(m) = m**2 - 12*m - 40. Is 20 a factor of c(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 16 + 37 = -m, a - 32 = 4*m. Sort -4, a, 2 in decreasing order.\nAnswer: a, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47339262 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q - 3. Let c be r(-3). Let x(y) = y**3 - 5*y**2 - 7*y + 8. Let p be x(c). Solve 6 = p*i, -i = -2*f - 4*i + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1 + 2)*162141\/84)\/(1\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, -4, 709 in increasing order.\nAnswer: -4, 2, 6, 709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 2*h**2 - 2*h + 28. Let q be n(0). Let v = q + 507. What are the prime factors of v?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 5*i - 38, -6*i + 23626 = 4*q + 23574 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.97934 months in decades?\nAnswer: 0.4414945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 307308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 2356?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/275*(-15)\/(-12)*14*(-2)\/(-6)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347085?\nAnswer: 5, 419, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -39, 2\/5, 2, 0.3 in descending order.\nAnswer: 38, 2, 2\/5, 0.3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*l + 1261 = 0, 20*l - 18*l - 6345 = 5*g. Let v = g - -4288. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5587 - 1142. What are the prime factors of g?\nAnswer: 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 11:23 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 2 + 2. Let g be -4 + 2 - (x + -4). What are the prime factors of g*(-4)\/12*-13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.01 - 8.9. What is s rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46979 or 46978?\nAnswer: 46978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 0 + 0)*6. Let i = -13\/2 + r. Which is the biggest value? (a) 5 (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41088874 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 583*k - 18608 = -5782 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q - 507 - 519 + 613 + 120*q**2 + 339*q**2 wrt q.\nAnswer: 918*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 147 = -3. Factor -l + 311*n**2 - 18*n - 296*n**2 - 9.\nAnswer: 3*(n - 3)*(5*n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81226003.5 to the nearest one million.\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4000 + 9*j**2 + 4000 + 8*j**2. Let z(q) = 21*q. Give z(k(m)).\nAnswer: 357*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -33*r**3\/5 + 456*r**2\/5 - 69*r - 78\/5 = 0?\nAnswer: -2\/11, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - i = 10, 0 = -5*v - 4*i + 35 + 3. Let t(c) = c**2 - 7*c + 8. What is t(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 20*b**2 + 44*b - 82. Let w be l(-17). Is 8 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: What is the fifth smallest value in 0.1, -17, -4\/19, 6, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) -8 (c) 5 (d) -34 (e) 1 (f) 1020\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 8) to base 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 366 - 217. Suppose -5*x + 131 = 4*c - 36, -3*c = -x - s. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8536320 and 5265?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*z**5 - 33*z**5 + 124*z**5 + 4*z + 2*z**5 - 4*z + (-z**4 - 4*z**4 + 4*z**4)*(-2*z + 1 - 1) - 2*z**5 + 2*z**5 + 2*z**5.\nAnswer: 146*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2940*x - 17677. Give r(-6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 306 - 151. Suppose o = -4*a - u + 543, o - 4*a - 428 = 0. Let b = -256 + o. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**5 + 68*y**4 - 232*y**3 + 160*y**2 = 0.\nAnswer: -20, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8327 - -11501. What are the prime factors of l?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48896 and 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, a: 3, s: 1}. Give prob of sequence aba.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t + 21*t = -9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 4*d. Suppose d*u = 5*u - 5*m - 65, 3*u - 39 = -m. Calculate the highest common factor of 78 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15567 not equal to -15567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-28)*7 - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1501951829?\nAnswer: 7, 31, 6921437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**8\/15680 + n**6\/560 + n**5\/140 - 5*n**4\/12 + 5*n. Let v(g) be the third derivative of b(g). Solve v(r) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 + 6 = -5*t. Let l(r) = r**3 + r**2 - 3*r - 3. Let h be l(3). Calculate the highest common divisor of t and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81.33 - 81.33001098. What is i rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897 divided by 6?\nAnswer: 299\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + 7*u**2 - 1 + 0 - 8*u**3 - 4*u**3 to the form m*u + o*u**2 + x*u**3 + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1. Let d(i) = -i**2 + 4*i + 6. Let n be d(5). Let v(s) = 3*s**2 + s + 4. Determine n*v(p) + 4*x(p).\nAnswer: 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41876\/3 - 13954. Let i(s) be the second derivative of 0 + 13*s**2 + 5*s + n*s**3. Differentiate i(j) wrt j.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5823.493ml to litres.\nAnswer: 5.823493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23244, 45848, 68448, 91044?\n\"Answer: -2*j**2 + 22610*j + 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 9. Suppose 0 = -4*q - 5*k + 1018, -3*q + 8*q - 2*k - 1256 = 0. Suppose 0 = d*y - q + 7. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1435 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/(-36) + (-1)\/(-6) and (-14)\/(-91) - 29*(-35)\/1430.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -3\/7, 1\/3, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10187*m**2*y**3 + 3*m**2*y**2 - 31303*m**2*y + 3*m*y**2 + m*y + 130*y**3 - y**2 + 5 wrt y?\nAnswer: -61122*m**2 + 780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19108696.\nAnswer: 2, 47, 50821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 675 and 350?\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 409751.3 * -5.\nAnswer: -2048756.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-14) - (-10)\/14. Let t(w) = 17*w**3 + w. Let s = -75391 + 75399. Calculate the least common multiple of t(h) and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 10 + -83 + 76?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 0*i - 3*i + 12 = 0, -3*u - 5 = 2*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 272 - 842 = 0. Suppose -y - y + c = 0. Does 23 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 4*n = -0*v + 26, 0 = -2*v - 5*n - 63 + 47 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23754 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 18429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 c, and 1 s when three letters picked without replacement from ccccsxxsssscxsccxs?\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 10 - 2 = 0. Solve -w = -3*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166603465 a multiple of 475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -6*h + 15*h - 6*h for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -5*q**7\/6 + 8*q**4\/3 - 48*q - 12. Let x(f) be the first derivative of k(f). Find the third derivative of x(g) wrt g.\nAnswer: -2100*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-42)*(-15 + 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 14633*y**2. Let d(u) = 20*u. Calculate l(d(o)).\nAnswer: 5853200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**3 - 4*i + 5. What is the least common multiple of q(1) and 64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 802695, 802875, 803055, 803235, 803415?\n\"Answer: 180*q + 802515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 79*s**2 - s + 1. Let x be z(2). Find the second derivative of x*q**3 - 130*q**3 - 150*q**3 + 17*q wrt q.\nAnswer: 210*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -442\/5 - -40242\/455. Let h = k - 38\/273. Let u = -1 + -2. Which is the closest to -2? (a) 4 (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -687*i**3 + i - 35*i**2 - i**4 + 3*i + 689*i**3 to the form c + o*i**3 + p*i**4 + k*i + d*i**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 9387*s + 103378.\nAnswer: -(s - 11)*(s + 9398)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**3\/2 - y**2 - y. Let c(v) = 4*v - 2. Let i(b) = 2*c(b) - 3*g(b). Find the first derivative of i(f) wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -29189 (b) -4 (c) 1\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 12 + 6. Suppose n + t = 31. Calculate the highest common divisor of n and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3569565438 to the power of 1\/2, to the nearest integer?\nAnswer: 59746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n. Let c(w) = 159*w. Let i(o) = -69046*o. Let b(g) = 869*c(g) + 2*i(g). Calculate b(k(u)).\nAnswer: 395*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*u + 2881 = -1253 for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -1, -3, -18448?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1466.5 + 1190. Let x = i + 277. Put 27, x, 0 in decreasing order.\nAnswer: 27, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/3*(-1)\/(3\/(-1)).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -21*b + 8*b + b**3 + 41*b**2 + 8*b - 37*b**2 + 1. Calculate l(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkdk. What is prob of sequence kd?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 89498*i**2 + 89502*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*c + 1 = -4*f, 2*c - 3 = 3*f. List the prime factors of (545\/5)\/((-1 - 0)*f).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(204)\/(sqrt(12) + sqrt(432)*-4))**2.\nAnswer: 68\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 10 - 7 - -17.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-3)*45\/25.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 9. What is the remainder when g is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10979 + -10975. Solve 0 = -p*h + 2*i + 8, -7*i + 4*i = 4*h + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*f - 2459, 2*f = -3*a - f + 3636. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -14. Suppose 5 = 3*q - 13. What is the remainder when d is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26914187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 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: What is -28 + (12 - (26 - 6)) + -27?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(1\/(-9))*(-917)\/393. Solve z*d = 17*d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*q - r + 29 - 310, 0 = -3*q - 23*r + 20*r + 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 15*z**2 - 8. Let y be r(-2). Solve -5*u + w = 8, 0 = y*u - 57*u + 3*w - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, n: 2, r: 1}. Give prob of sequence rnn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9*0.01.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 55046*f**3 - 3*f**2 - 14*f - 40. Let z be q(-6). What is z rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -2 + 0*a**4 + 1\/30*a**5 + 0*a - 1\/60*a**6 - 22*a**2 - 4*a**3. What is the derivative of c(r) wrt r?\nAnswer: -6*r**2 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w**3 + 6 - 3*w**3 + 4 + (2*w + 3*w - 4*w)*(-w + 13*w - 2*w)*(2*w + 2*w - w) to o*w**2 + q + m*w + k*w**3 and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 0, -0.3, -2\/31?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 342*s**2 + 59*s + 298. List the prime factors of w(-5).\nAnswer: 3, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {u: 1, h: 1, r: 1, d: 2, k: 1, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 959 + 971, 2*n + 0*x = 3*x - 30 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/16 of a day?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-16) - 1)\/((-30)\/(-20)). Let i = -12 - -12.2. Which is the fourth smallest value? (a) -3 (b) i (c) j (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) -2\/9 (b) -4\/9 (c) -67 (d) -0.04 (e) 6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 11*h**8\/56 + 5*h**5\/4 + 63*h**2. Find the third derivative of a(z) wrt z.\nAnswer: 3960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 379*y - 127. List the prime factors of n(15).\nAnswer: 2, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 1. Let g(o) be the second derivative of -o**3\/6 + 4*o**2 - 3*o. Let z be g(6). Determine b(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1735112\/15 - 115674. Factor -16\/15*x + 4\/15*x**3 + 0 - 8\/15*x**2 + a*x**4.\nAnswer: 2*x*(x - 2)*(x + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 3*i + 317, 4888*w - 2440*w - 234 = 2*i + 2443*w for i.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v - 218. List the prime factors of n(27).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6*f = f + 905, 189 = -x + 5*f. Are -179 and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -134.\nAnswer: 5\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7996430 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015.394 decades in centuries?\nAnswer: 101.5394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 = -5*f + 107. Let s = f + 61. What is the remainder when 10 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1467 + -1467.1. Which is the nearest to 0.4? (a) 1\/4 (b) 4\/3 (c) 2\/7 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329387 is divided by 157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-26)\/24*(-3)\/((-156)\/(-8))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*i**2 + 38*i**2 - 19*i**2 to p + u*i + x*i**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537438844.\nAnswer: 2, 227, 591893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001529 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/3)\/w**(-4\/25) assuming w is positive.\nAnswer: w**(-88\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 + 53*z**2 + 14*z - 80. Is 2 a factor of y(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6}. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8 - m + m + 105*m**4 - 149*m**2 + 260*m**4 + 161*m**2 wrt m?\nAnswer: 8760*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -0.38396?\nAnswer: 4.38396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = n + 30. Let y = -3 - n. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(27)*-3*3)**2.\nAnswer: 34992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 49?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n = 7*n - 312 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3714 and 3714.\nAnswer: 3714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/(((-1)\/6)\/(190\/(-171)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7653, -7652, -7651, -7650, -7649, -7648?\nAnswer: -7647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 2:43 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 32 = 3*a, 2*a + 3*h = -13 - 4. Let b be (-1)\/(-2)*a\/(-4)*4. What is the second derivative of -37*o**3 - 18*o**b + 3*o + 37*o**3 - 6*o wrt o?\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 2:20 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + 0*v - 5*v)*(-22*v + 1 + 0*v - 1) as c*v**2 + m + n*v and give c.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*t - 41, 2*t + 1 = -3*j + 7*t. Suppose j = -a + 64. Calculate the remainder when a is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2. Suppose -4*k - s - 12 = -5*s, 3*s - 5 = 5*k. Let o(w) = 7*w + w**k - 7*w. Determine o(u(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -254 + 39. Let g = 297 + f. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 73*i. Let p(g) = 366*g. Determine -5*p(d) + 24*s(d).\nAnswer: -78*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -61, -148, 2, -3, -2 in descending order.\nAnswer: 3, 2, -2, -3, -6, -61, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 1254.2584\nAnswer: -5017.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.2014659 to 1 decimal place.\nAnswer: -18.2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 12140 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 66168331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**6\/120 + y**5\/12 - y**4\/6 + y**3\/6 + 83*y**2. Calculate x(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 553 and 3880717?\nAnswer: 27165019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1188)\/2288*8*(-1 + (-30)\/(-18))?\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 197979.3.\nAnswer: 395958.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 273*q - 7 - 132*q - 4240*q**2 - 122*q - 1608*q**2 wrt q.\nAnswer: -11696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92211425.\nAnswer: 5, 419, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -1. Suppose -13 = -2*g + 5*h, -5*g - 4*h = -8*h + 10. Let r be ((-13)\/78)\/(1\/g). Sort -1, d, r.\nAnswer: -1, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972 a factor of 1832320436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1300 + 2023. Find the first derivative of -21*l**3 + 2*l - 717*l**2 - 2*l - 162 + b*l**2 wrt l.\nAnswer: -63*l**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.04 - -0.04. Let o = 19.7 + l. Sort o, -1, 0.1 in decreasing order.\nAnswer: 0.1, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4103 (b) -5\/3 (c) 4 (d) 0 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (13 - -5) + -82 + 13.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3472\/(-364) + -4 - 12\/26?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l = 1873 - 1763 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**5 - 3*d**5 + d**2 + 10*d**2 wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 8844070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 - 8*i**2 - 4*i - 44. Let s be m(-8). Calculate the greatest common factor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 457937053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 7:41 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 12:46 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-102) + (-304)\/(-1428)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4423 is divided by 3286.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccccycc. Give prob of sequence cyc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2*(-4*(-1)\/(-10))\/(494\/(-95))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 2*f**2 - 2*f + 1. Let g be t(-3). Let l(i) = -i. Let s(v) = 4*v + 1. Determine g*s(m) - 7*l(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.6, 0.06, 9 in decreasing order.\nAnswer: 9, 6.6, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -26158\/3, 0.\nAnswer: -26158\/3, -2\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**3\/3 - 13*g**2\/2 - 12*g + 18. Factor q(w).\nAnswer: -(w + 1)*(w + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2 (b) -21 (c) -780\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -8*y - 34. Let l be c(-4). Let d(o) = 3*o. Let h(z) = -8*z. Let s(p) = l*h(p) - 5*d(p). Let t(u) = -104*u**2 + 2. Calculate t(s(r)).\nAnswer: -104*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**2 - 17*p + 4. Let i(q) = 9*q**2 - 33*q + 8. Let n(g) = -4*i(g) + 7*o(g). Is 15 a factor of n(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 1. Let p(g) = -2*g - 6. Let k be p(4). Let j(s) = -6*s + 6. What is k*n(y) + 2*j(y)?\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {x: 4, n: 2, s: 1, f: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 - 54*c**3 + 1341*c**2 - 4944*c - 6336.\nAnswer: -3*(c - 8)**2*(c + 1)*(c + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6337446 or 6337444?\nAnswer: 6337444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -4203*g**2\/2 - 7300. Let v(y) = 4*y. Determine n(v(f)).\nAnswer: -16812*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*x + 323 = -93*x for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55644 and 10491?\nAnswer: 583761204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**5\/24 + 2*y**3 - 12. Let r(b) be the third derivative of u(b). Let g(d) = -d - 2 + 2. Determine g(r(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 14 (c) -4.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 2:10 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 1, 21, -15, -2\/3 in increasing order.\nAnswer: -15, -4, -2\/3, 0, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -55*n**8\/336 - 5*n**4\/12 - n**3\/3 - 15*n**2. Find the second derivative of t(o) wrt o.\nAnswer: -1100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from {v: 3, g: 2, a: 6, q: 3, y: 1, b: 5}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4635 + 6621. Suppose 2*m - j = 4*q - 0*q, -5*m = 2*q - 4989. Let i = -4071\/4 + m. What is the common denominator of i and -9\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8751938 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*r + 16 = 0. Which is the closest to 0.9? (a) r (b) 1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -545 - -2726\/5. Let r = -44\/15 + 12\/5. Let t = r + 1\/5. Which is the closest to -1\/2? (a) -1 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {b: 2, u: 2, y: 1, c: 2, x: 4, w: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 9*p**2 - 2*p + 9. Let v = 33 - 18. Suppose 32 = -v*d + 17*d. Calculate the remainder when t(7) is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -38 + 4 - (-44 - (47 - 86))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 19*a**2 - 22*a - 44. Let o be m(19). Let x be (1 - -24) + o\/66. Suppose -3*y = 2*y + 5*z + 10, 3*y + 4*z = -8. Solve y = 5*j + x + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -288210239?\nAnswer: 2\/288210239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 39*s + 60. What is g(40)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218769 is divided by 43355?\nAnswer: 1994","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -280, -262, -226, -166, -76, 50, 218, 434?\n\"Answer: s**3 + 3*s**2 + 2*s - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d + 3. Let y be w(-3). Suppose -3*t = 2*t - y. Determine k, given that -k**2 + 0*k + 10 - 10 + 2*k - k**t = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -s - 6. Suppose s*l - 20*l = 18. Let c = -2 + l. Calculate the remainder when 6 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -174, 40, 390, 876, 1498, 2256?\n\"Answer: 68*u**2 + 10*u - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvmjrjvjrrjvpvjvvm. Give prob of picking 1 v and 1 m.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(500) + 0)*4 - (4*(sqrt(500) + 2*sqrt(500)) + sqrt(500) + -4))**2 + 1.\nAnswer: 240*sqrt(5) + 4517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.750002145 - -2.75. What is s rounded to 7 dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 10*c + 2. Let w be z(-10). Find the third derivative of -5*s**6 + 10*s**4 - 10*s**4 - 11*s**w wrt s.\nAnswer: -600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -5*j + 42, 341593*j + 5*w = 341588*j - 140 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.3, 1\/9, -7\/6?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 988 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 305.2029 hours?\nAnswer: 1098730440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, t: 3, a: 1, r: 2}. Give prob of picking 1 a and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 12*i**2 - 3*i + 4*i as y + k*i**2 + r*i and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2883, -7465, -12047, -16629, -21211?\n\"Answer: -4582*d + 1699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 6. Give z(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 + -86. Factor -9\/4*q**2 + 0*q**3 + 3\/4*q**w + 0 + 3\/2*q.\nAnswer: 3*q*(q - 1)**2*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -583.81569901 and 91.\nAnswer: -492.81569901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 7. Let i be f(-3). Let h = i + -1. Suppose -3*t = -3*v + 108, 2*v + 4*t = -h*v + 216. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-2 - 1) - -1. Let d(y) = -y**2 - 11. Let c(l) = l**2 - l + 23. Let v(r) = -c(r) - 2*d(r). Give v(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 10, -c - 354 = 2*v + 3*v. What is c rounded to the nearest ten?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + -6 + (8 - 1). Let s(n) = 7*n + 1. Let m(q) = -9*q - 3. Calculate the remainder when s(f) is divided by m(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -45. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.10003 - -0.50003. Which is the third biggest value? (a) h (b) -5 (c) 0.1 (d) -79 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 104\/(-2)*(4 - (-27)\/(-6)). Calculate the highest common factor of 130 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2118600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*u - 10*u + 10*u**3)*(-1 - 2 + 2)*(1 + 4 + 1) to the form c + s*u**3 + r*u**2 + q*u and give s.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.07 or -0.06?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*w + 2 = 600*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k*k\/(k*k**(-18)\/k)*k)\/k)\/k**(-2\/7)*k**(4\/17)*k**(6\/7))**(-14\/3) assuming k is positive.\nAnswer: k**(-5326\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 0*d - 2\/3*d**4 - 6 + 5*d**2 + 18*d**3 + 1\/60*d**5. What is the first derivative of c(z) wrt z?\nAnswer: 2*z - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 57*b**2 + 32*b - 20. Let h be k(-17). Let n = 39502 - h. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - (0 - (1 - 6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.58 + 1.59. Let k = 1.010608 - j. What is k rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 8*k**5 + 19776*k**4 - 3295990*k**3 + 15870366*k**2 + 18352244*k + 4795296 = 0?\nAnswer: -2629, -1\/2, 6, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -15. Suppose 2*b + f*c = 2, -3*b - 2*b - 4*c + 4 = 0. Let h(p) = -6*p + 11. Let n(t) = 7*t - 10. Let y(g) = 6*h(g) + 5*n(g). Determine y(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/3 - (-8)\/12. Let q(j) = -j**3 - j**2 - 1. Let z(b) = 24*b**3 + 20*b**2 + 20. Give v*z(d) - 20*q(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9731.28 millilitres to litres.\nAnswer: 9.73128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/2*3*((-238)\/51)\/(-7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 + 10883*d**2 - 21 - 10883*d**2 + 88 - 2*d**3.\nAnswer: -8*d**3 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -205.6 + 137. What is o rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 11:14 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1122 (base 3) to base 15\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxxxxqxxq?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 (base 15) in base 3?\nAnswer: -121210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6*t - 8, -303 = -3*n - 3*t. Let d = 98 - n. Put 5\/2, d, 2 in increasing order.\nAnswer: d, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/t**28)*t**(2\/53)*(t\/(t\/(t**16*t*t*t)))\/(t**40*t) assuming t is positive.\nAnswer: t**(320\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1365 divided by -5?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 215679*y - 431370.\nAnswer: 3*(y - 2)*(y + 71895)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from llllqlqqlqqlqllqqq.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, h: 2, x: 1, i: 1, y: 1, z: 9}. Give prob of sequence hpi.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/6*(-4428)\/(-90). Is (-12833)\/a + (-2)\/8 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 12. Let c be y(-17). Suppose -b = -c*p + 3*b - 35, 4*p + 7 = -b. Is 16 a factor of 54\/15*(-40)\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-294)\/(-90)))\/((-29)\/(10353\/(-9)))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + 0. Let y = -11\/74 + 24\/37. What is the closest to 1 in 0.1, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -150.378 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11499a93 - -1?\nAnswer: -11499a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fll when three letters picked without replacement from flfl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 43062 = -5*p, l = -3*l + 8. Let k = p + 120651\/14. Calculate the common denominator of 81\/32 and k.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -116873 or -116874?\nAnswer: -116873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 63891351?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -12) + 10 + -3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.19 (b) 4\/11 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**2\/13 + 24*i\/13 - 90\/13 = 0.\nAnswer: -15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*g + 488 = 476, -3*k = 4*g + 15. What is the fourth smallest value in 4\/7, 2, -5, -0.3, k?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 15*q + 49. Let w be (-1*2)\/(9\/(-54)). Calculate the remainder when g(w) is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 12. Let q(n) = n**2 + 3*n + 124. What is the hundreds digit of q(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19428 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4*p**3 - 3*p + 26*p**2 + 184*p**2 + 3*p.\nAnswer: -4*p**3 + 210*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 8. Let y be (-15)\/(-12) - 76\/(-16). Let u be q(y). Which is smaller: 11 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) -1 (c) -8 (d) 0.7 (e) 3 (f) 4 (g) -59\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14031 + -2?\nAnswer: 14024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -3\/5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*f + 10 = 0, -3*i - 2*f - 2*f = 8. Suppose i = -x - 2 - 2. Let s(d) = -d**3 - d**2 + 8*d - 4. Does 4 divide s(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.7 and 487955.\nAnswer: -1805433.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14941 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*-3*1*sqrt(1053) + 1*-6*sqrt(1053)*-2*-4)**2*3.\nAnswer: 14580*sqrt(13) + 9211719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*n - 21 = -3*n, -3*b + 5*n + 25 = 0. Suppose 20 = b*d, -4*d = -2*j + 60 + 6. What is the remainder when j is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*v - 291*v = -1954 - 666 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.3, 3, -15 in descending order.\nAnswer: 3, -1\/4, -0.3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 100101 (base 2) to base 14\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*f + 2068 = 0, -4*f + 297 = 3*a - 2782. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27c2c + 0?\nAnswer: -27c2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 2*d**9\/21 - d**7\/210 + 13*d**5\/60 - 2*d**2 - 62*d. What is the third derivative of l(p) wrt p?\nAnswer: 5760*p**3 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9715*g**4 - 10026.\nAnswer: 38860*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -3\/8, 2\/15.\nAnswer: -3, -3\/8, 2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*(q\/(q\/(q**1*q)*q))\/q*q)))**(3\/7))**15*((q**(-1\/6)\/q)\/(q*q**(-1\/7)))**(1\/15) assuming q is positive.\nAnswer: q**(229\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-924)\/(-539)*(1960\/(-42))\/4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 - 5 + 5 + (1 - 1 - b)*(-4154*b + 9959*b - 2464*b) to the form r*b**2 + s + m*b and give r.\nAnswer: -3340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.78 + 6.2. Let g = q - -5.58. What is the nearest to 2\/5 in -2, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -1. Let c = k + 1. Let i = 931 - 928. Solve c = i*x - 4*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 1056 (b) -2 (c) -3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -299?\nAnswer: 3289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9404881+0.4\nAnswer: -9404880.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2660345076 to the nearest integer?\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v**2. Suppose -2*r - 90 = -110. Let y(o) = 26*o - 10*o - 16*o + r*o**2. Calculate y(z(g)).\nAnswer: 810*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nccqpqqgrgggqqgppqn. What is prob of picking 1 g, 1 p, and 1 n?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 0) + 7 - 1. Solve 0 = -a*h + v + 19, -4*h + 3*h + 2*v = -11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 300446746?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437196929.\nAnswer: 3, 7, 23, 107, 27809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**2 - 38880*j - 125971200 = 0.\nAnswer: -6480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - x + 14. Let k be p(0). Let g = k - -9. What is the remainder when (5\/2)\/((-6)\/(-108)) is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2161*a - 142635. What is m(-66)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -2*r + 10*g, 4*r + 2982*g + 2 = 3*r + 2979*g - 3 + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1a1ba (base 13) to base 10\nAnswer: 50853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10222 (base 4) to base 16\nAnswer: -12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/((-21)\/18))\/((-12)\/(-8)). What is the third derivative of -8*q**2 - 8*q**3 - 11*q**4 + 10*q**4 + 57*q**2 + 0*q**h wrt q?\nAnswer: -24*q - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 11:07 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**(-6\/11)\/w)\/w))**(-11\/6)*w*w**(-19)*w**(-4\/7))**(-9\/10) assuming w is positive.\nAnswer: w**(3159\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1588, 3177, 4766, 6355?\nAnswer: 7944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/23)*y)\/(y\/(y**4*y)))\/(y**(-3\/7)*y*(y\/(y**(-8)\/y))\/y) assuming y is positive.\nAnswer: y**(-750\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 37*s**3 + 27*s**2 + 3*s. Let u(k) be the second derivative of -12*k**5 - 44*k**4\/3 - 10*k**3\/3 + 14*k. Let v(g) = -32*j(g) - 5*u(g). Factor v(z).\nAnswer: 4*z*(2*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4616\/12)\/(72\/135)*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3653?\nAnswer: 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5055 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 48590 times 19179\nAnswer: 931907610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**2 + 5*a - 3*a**2 - 5*a**2 + a**2.\nAnswer: -16*a**2 + 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -7*f - 29. Let l be -3 + (-2)\/(-2)*(-1 + -3). Let i be p(l). Calculate the greatest common divisor of 8 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - x**2 - 3*x + 2. Let g be j(2). Suppose -n + 2 = -0. Suppose n*o + 7 = 87. What is the greatest common divisor of o and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1046, 1041, 1040, 1049, 1074, 1121, 1196?\nAnswer: 1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27489)\/330)\/(-49)*20.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 11*f - 29. Let u(s) = 5*s - 14. Let i(m) = 6*l(m) - 13*u(m). Let w be i(-7). Let t = w - -13. Calculate the remainder when t is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 433\/21 or 20?\nAnswer: 433\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 12*d - 147. Let a be -1 - (44\/(-1) - 1). Calculate the highest common factor of d and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 942 is divided by 104?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 2:49 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931622311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/9 + 1 + 1. Let q be (d + 1)\/(2\/(-8)). Which is the second smallest value? (a) q (b) -0.5 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*b = 44*b + 2916. Let u = 1685 + b. Suppose 6*q + u = 2645. Is q a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, -25 in decreasing order.\nAnswer: -1, -7, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*15\/300*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4489?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/3*((-405)\/(-12))\/(-5). Suppose -15 = -t*o + 41*o. Put o, 1, -0.5, -48 in increasing order.\nAnswer: -48, o, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1531257 (base 10) in base 11?\nAnswer: 956502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, -4715 in decreasing order.\nAnswer: 6, 1, -4715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-21) - (-4)\/(-6). Suppose 10*r - 1060 = 5*r. Let z = r - 1906\/9. Which is the third smallest value? (a) q (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 15 = 0, 0 = -120*i + 119*i - h + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 106*s**5 + 10*s**2 + 7*s + 23. Let y(k) = -53*k**5 - 4*k**2 - 3*k - 11. Let c(g) = 3*x(g) + 7*y(g). Find the third derivative of c(o) wrt o.\nAnswer: -3180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/4 and -31\/12794?\nAnswer: 25588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, w: 4, d: 4}. What is prob of picking 2 d and 2 w?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-3\/4)*o*o)\/(o\/(o*o*((o*(o*o**28\/o*o*o)\/o*o)\/o)\/o*o)))\/(o**(14\/11)\/o**(-1\/4)))**33 assuming o is positive.\nAnswer: o**1014","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1440 and 19\/420.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -310322853*y**3 - 40511212 with respect to y.\nAnswer: -930968559*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 3*n - 5*n)*(-3*n**3 + 2*n**3 + 0*n**3) - 5*n**4 - 8*n**4 + 7*n**4 - 2*n + 2*n**4 + 2*n.\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.8506 rounded to 1 decimal place?\nAnswer: 140.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11002030310 (base 4) in base 3?\nAnswer: 2111001022222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/27 and -139\/83005956?\nAnswer: 249017868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1777 is divided by 137?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(26) - (sqrt(26) - sqrt(78)\/sqrt(3) - sqrt(26)))\/sqrt(2) - 3*-6*sqrt(39)\/sqrt(3))**2.\nAnswer: -200*sqrt(13) + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + (40 - 19) + -24.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 2*q + 3. Let s be x(-3). Suppose o = 5*y - 24 + 4, -3*o = s. Suppose y*c - 5 - 7 = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8874302 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 216846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 128 + 7259*m**2 - 7239*m**2 - m**3 - 92 + 6*m - 44*m. Determine k(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 - b**4 - 2*b**4 + (0 + 0 - 2*b**2)*(4*b**2 + b**2 - 4*b**2) + (2*b**4 + b**4 - 2*b**4)*(5 + 1 - 7) + 4*b**2 - b**4 - 4*b**2.\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2553377.489 rounded to the nearest 10000?\nAnswer: -2550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (-3 + 2) - (40 - (-38 + -9 - -77)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, j: 1}. What is prob of sequence tjt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27324 by 27324.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 20*l**2 + 110*l - 1183. Calculate p(17).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**5*r**(-2\/7)\/r)\/(r**(-1\/3))**43)**(-50))**(-4) assuming r is positive.\nAnswer: r**(75800\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 2 + 2)*(-43*f + 80*f + 65*f + 193*f)*(13*f + 14*f - 40*f).\nAnswer: -3835*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 378 + -383 + (-31 - -6 - 2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v + 66642*v**2 + 2*v - 8*v - 2*v + v.\nAnswer: 66642*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -233533 (base 6) in base 8?\nAnswer: -47501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3567 and 52809?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4865 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3509 - 3*n**2 - 3555 - 8*n**3 + 3*n + 5*n**2 - n to the form t*n**2 + s + g*n + o*n**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133 + 23. Let q = d - 69. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.5 - -6388719?\nAnswer: 6388730.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 210515723 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*sqrt(24))\/(sqrt(1152)*1).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 3238 = -8202. What are the prime factors of a?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0074856294 rounded to 4 dps?\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/4 (b) 0.01 (c) -1 (d) 5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 25.12. Sort 0.2, f, -3\/5 in decreasing order.\nAnswer: 0.2, f, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, z: 1, p: 3, e: 1, h: 4, x: 4}. What is prob of sequence tt?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d**(1\/4)))\/d*d\/d**4)\/(d**(5\/3)*d*d\/(d*d*d*d**5)) assuming d is positive.\nAnswer: d**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*n + 3*p, 18*p = -n + 13*p + 13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -20*c. Let a(u) = -71372397*u. Give j(a(y)).\nAnswer: 1427447940*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -79557 * -0.6\nAnswer: 47734.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, -911, 15\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (39*(-6)\/9)\/2. Let p(r) = r + 9. Let y be p(z). Which is the nearest to 1\/2? (a) -1\/5 (b) 0.04 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -332*3\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 1:40 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1298 and 352.\nAnswer: 20768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12749943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 3 + 0 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3110892 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14861345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35704 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 + 171364*j + 25694917934.\nAnswer: 2*(j + 299887)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12878?\nAnswer: 2, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -f - 141. Let u = f - -126. Solve -1 - u = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1277?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*d**2)*(2*d - 3*d + 3*d) + 0*d**3 + 2*d**3 + 3*d**3 + (d**3 + 0*d**3 + 0*d**3)*(2 - 2 + 1) - d**3 + 2*d**3 + d**3 + 3*d + 2*d**3 - 3*d.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1075*p**2 - 2153*p**2 + 1075*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1050)\/(-1500))\/(63\/255)*-9)\/((-7)\/2).\nAnswer: 51\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4*i**2 - 2*i**2 - 9*i**2 in the form r + f*i + m*i**2 and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94784782?\nAnswer: 2, 421, 112571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28849 and 113699?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6939, 6944, 6951, 6960, 6971, 6984, 6999?\nAnswer: 7016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 32*a**3 - 11*a**2 + 13*a + 17. Let z(t) = -8*t**3 + 3*t**2 - 3*t - 4. Let b(p) = -2*u(p) - 9*z(p). Does 16 divide b(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 22*q**2 - q - 1. What is the least common multiple of 8 and f(-1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18152 + 12\nAnswer: 18164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + -20 - 26)*(85 - 86).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3982939 and 1061.\nAnswer: 3984000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c + 4*f + 48838 = 39*c, 3*f + 97646 = 4*c. List the prime factors of c.\nAnswer: 24407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -17 - (-1 - -11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(4*f**3 + f**3 - f**3).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*w + 125, -2*u + 120 = -2*w - 2*w. Suppose 119 = p + u. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 11*r**2 - 7*r - 5. Is l(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from nmnrmnnrrnrrrnnnn?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h - 2*h**2 - h**3 - 4*h**2 - h**2. Let c be y(-6). Let z = c - -12. Solve 3 = -n - z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 2222*h - 550394. Calculate r(-284).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 12 = -14*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496539 is divided by 288.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2962408997?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.388807 years in months?\nAnswer: 88.665684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 divided by 295?\nAnswer: 86\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.76643857 to 1 decimal place.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 137 = -5*a, -2*c = -36*a + 32*a - 128. Solve -67*j = -c*j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-42)*t)**(-15))**22)**10 assuming t is positive.\nAnswer: t**135300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/9 + 881186*v\/3 + 194122191649.\nAnswer: (v + 1321779)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/15)\/((16\/10)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 0.04\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -94. Calculate the greatest common divisor of c and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + -20 + 21.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 660 and 106920.\nAnswer: 106920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 82?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4 + h**2 + 2 + 0*h**2 + 8*h. Suppose -73*a + 64*a = -117. Let w(u) = -u**3 + 15*u**2 - 29*u + 32. Let p be w(a). Determine d(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 14 = 4*a. Suppose 5*j = 3*j + a. Suppose j*o - 170 = -3*k, -375 = -6*o + o + 5*k. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/4 of a micrometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 - 6*q - 13. Let m(d) = -d**2 + 1. Let b(k) = i(k) + 2*m(k). Calculate the least common multiple of 10 and b(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/3)\/(14\/(-21)). Let s be ((-12)\/5)\/(o\/(-25)). What is the highest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1253*v**2 - 1146*v**2 + 2455*v**2.\nAnswer: 56*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1392147 and 3?\nAnswer: 1392147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/3)\/(r*r*r*(r*(r*r*r**(-6\/5)*r*r*r*r)\/r)\/r))**(-13)*(r*r**(2\/5))**(-49)\/((r\/r**(2\/9))\/(r*r**1*r)) assuming r is positive.\nAnswer: r**(1966\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, l: 7, k: 7}. What is prob of picking 1 i and 2 k?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 25*n - 205. What is the hundreds digit of v(43)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-183)\/(-12) - 2\/8. Suppose -8*a + o = -3*a. Suppose 6 + 9 = a*k. Solve -k*n - 14 = -2*z, z = -n - z - 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = d - 580, d + 23 - 607 = 4*y. Is 1*-1 + d\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 2)*(0*s**3 - 4*s**3 + 2*s**3) + (s + 2*s - 2*s)*(-s**2 - 5*s**2 + 5*s**2).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {t: 5, p: 11}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**5\/20 + c**4\/4 + c**3\/6 + c**2\/2 + 2*c - 31. Determine j(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 20 = 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 106800 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*y**3 + 9360*y + 15*y**2 - 4677*y - 10*y**3 - 9*y**2 - 4684*y.\nAnswer: -230*y**3 + 6*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 163, 1646, 4117, 7576, 12023?\n\"Answer: 494*o**2 + o - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 546 - 545.7. Which is the closest to o? (a) -2.6 (b) 3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-45 - -7)\/(1 - -1). Let d = a - -25. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 228925, 457840, 686753, 915664, 1144573, 1373480, 1602385?\n\"Answer: -g**2 + 228918*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-84)\/225)\/7)\/(4\/(-20))\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*y, -i + 5*y - 3*y + 6 = 0. Suppose t = 0, b + 4*t - 40 = -i*t. Calculate the remainder when 158 is divided by b.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 631, 661, 691, 721?\n\"Answer: 30*x + 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -9 - ((40 - 55) + -2) - -1.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 - -0.9. What is the second smallest value in j, 2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 285\/11 - -323\/44. Let v = 67\/2 - t. Factor -v*h**3 + 0 - h**2 - 3\/4*h.\nAnswer: -h*(h + 1)*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 8\/125417563?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (12298\/172)\/(-52*3\/(-24))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 6*v + v + 10, -15 = 5*v. Let p = 99 + -103. Put -3, b, 3, p in increasing order.\nAnswer: p, -3, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, a: 13}. What is prob of sequence ma?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1263*a**3 - 2012*a**3 + 8*a + 891*a**3.\nAnswer: 142*a**3 + 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/20)\/(1925\/(-13750))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16080 by 670.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5 + 12224*h**4 - 605880*h**3 - 1939940*h**2 + 605882*h + 1927716 = 0.\nAnswer: -3, -1, 1, 53, 6062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29875 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109 - 112. Let t = -20 + 38. Let s = 18.3 - t. Sort -7, y, s in descending order.\nAnswer: s, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 1 + (-14)\/(-4). Sort 0.35, -0.4, r in descending order.\nAnswer: r, 0.35, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x = 0. Let m(k) be the second derivative of x - 1\/12*k**4 + k + k**2 + 1\/3*k**3. Calculate m(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 5*o**4\/6 + 5*o**3\/6 - 1981*o**2\/2 + 14*o + 35. Differentiate m(y) with respect to y.\nAnswer: 20*y + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 13*a**2 + a - 2. Suppose -5*c + 16*c = 55. Suppose 3*d - 3*f - 20 = f, -c*f = 3*d - 2. Calculate the remainder when y(13) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 + 2. Let m = y + 0.2. Let i = m - 0.1004. What is i rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i. Let n(x) = -45*x. Let g(y) = 55*b(y) - 6*n(y). Let r(a) = 26 - 26 + 5*a**2. What is r(g(v))?\nAnswer: 125*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(0 - (-6)\/(-10)). Solve -2 = -3*g - 3*h + 13, -18 = -q*g - 4*h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -535 - -123?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7462022.882593 + -1.\nAnswer: 7462021.882593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.828 - 0.908. What is the closest to -1 in 0.5, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -592 (c) -0.2 (d) -2\/4243\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*l**3 + 3503*l**2 - 3503*l**2 + 23*l**3.\nAnswer: 94*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 60*d - 61*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-210))\/((-11)\/10))\/(8172\/(-134838))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -298, -934, -2166, -4192?\nAnswer: -7210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1207?\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-45))\/(1\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - -8.01. Let l = m - 12.2. Let a = l + 4.200102. Round a to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(63)\/sqrt(324).\nAnswer: sqrt(7)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110331.85 rounded to the nearest 100?\nAnswer: 110300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 10:31 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2808 = 24*k. Let d = k + -96. Solve -m + d = -3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -9. Let c be p\/(15 + -3)*0. Solve j = 2*s + 3*s + 22, c = -4*s - 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 522559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3724717 divided by 2567?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.15, 879\/5, -1\/7 in descending order.\nAnswer: 879\/5, 0.15, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1 (c) 635\/12 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*w + 18, -2*b + 6*b - 44 = -4*w. Suppose 3055 = 3*y - h - 1270, 0 = 4*h + w. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3 + 84*n**2 - 2352*n + 21952 = 0. What is n?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14732 less than 12?\nAnswer: -14720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2.8, 2.6, -0.1 in ascending order.\nAnswer: -1, -0.1, 2.6, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9222 and -6?\nAnswer: -55332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.967934 months to centuries.\nAnswer: 0.021639945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*i + 105*i**2 + 1 + 2*i**3 - 26*i - 121*i**2 in the form f*i**3 + l*i**2 + w + a*i and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + (3 - 6 - (1 + -9) - -4 - 20)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*x**6 + 6*x**2 - 2*x**2 - 3*x**6 wrt x.\nAnswer: 720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 10*m**2 + 24*m - 1. Let n be t(-6). Put 3, n, -1\/4, 1\/4 in increasing order.\nAnswer: n, -1\/4, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17729382 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*w**2 - 36*w wrt w?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612 is divided by 321.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2730934 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/102 and 4\/2567.\nAnswer: 15402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -930 and -0.10331.\nAnswer: 96.0783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (14 + 1)) + -272 + 269 + 4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2272 and 1562?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*x + 4. Let m be x*54\/(-4) + -2. Let a be m\/2 - (-3)\/(-6). What is a rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2. Let l(m) = m**3 + 2*m**2 - 3*m + 3. Let d be l(-3). Let j(y) = 3 + 1 + y - d + 3. What is -2*j(b) + 5*v(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -30. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19973060057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -283018565738 + -1.469.\nAnswer: -283018565739.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1016311*a**4 - 723551 wrt a.\nAnswer: -4065244*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-4) + -15)*2\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(2\/9)\/(u*u\/u**(1\/3)*u**(-6)) assuming u is positive.\nAnswer: u**(37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -7813.8, 5.6, -4\/7 in descending order.\nAnswer: 5.6, -0.5, -4\/7, -7813.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(0 + 2 + 0)*(3*z**4 - 27*z**4 + 2*z**4).\nAnswer: 88*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 52944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 6*f = -10*y + 78568, -y + f = -39290. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 7 = -10*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200165.\nAnswer: 5, 7, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 3 - 4 - 7*t - 2. Let x be o(8). Suppose x*m - 22 = 48. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 347303\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -38085*h. Let v(y) = 10*y**2. Determine v(a(m)).\nAnswer: 14504672250*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24350177.\nAnswer: 1229, 19813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.532498 + -0.44016. Round c to 3 dps.\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44542216.\nAnswer: 2, 709, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -25\/44 (c) 2\/23 (d) 410 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1513\/114 + -79\/6. Is 1\/4 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20173?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22303651661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2156 and 158708?\nAnswer: 7776692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.1 - -18. Let r = -3 + 2.9. Let n = -0.4 + -0.1. What is the closest to r in n, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92097889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*o**4 + 80*o**3 - 380*o**2 + 80*o.\nAnswer: 5*o*(o - 2)*(o + 4)*(9*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-5)\/6)*(-750)\/(-225). Solve 0 = -3*k - h*u + 20, -k + 0*u + 3*u = 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/15 + 0)*5. Let v be 2\/(f\/(-2)) - 2. Let w be -4 + 9 - 36\/12. Solve -5*n + v*g - 14 = 4*g, -w*g = 3*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-350)\/30) + 4\/(168\/(-22)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14664 is divided by 610.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1023 + -4?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5953\/10 + -596. Let p = 31 - 29. What is the common denominator of p - 6*(-69)\/60 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3535052 - -34?\nAnswer: -3535015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*i**3 - 603*i**2 + 161902 wrt i?\nAnswer: -48*i**2 - 1206*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 + 4 = -4*t, 0 = -2*x - 5*t - 44. Let m(n) = -4*n - 46. Let u be m(x). Solve 0 = -5*r + g - 27 + 2, 0 = -u*g + 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -4, -9\/4 in descending order.\nAnswer: -9\/4, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/577*2750\/(-6). Let n = 4\/577 + p. Calculate the common denominator of -2 + (25 - (-2)\/(-2)) and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 13, n: 3}. Give prob of sequence lnnn.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 4 (c) -1\/6 (d) 1\/2 (e) -2\/9 (f) 3.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 300\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 460926720 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 7) to base 9\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 435505 + 2?\nAnswer: 435511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 25. Let q = -6.7 + 3. Let r = 1.3 - q. What is the closest to -2 in r, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**7\/1260 + c**4\/2 - 5*c. Let g(r) be the third derivative of f(r). Let m(s) = -s**2 - 3*s + 3*s. Determine g(m(y)).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 637 + 3*j - 637.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20779*d**2 + 20*d**6 + 20790*d**2 + 2*d**5 - 2*d**5 wrt d.\nAnswer: 2400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 63*l - 35. Let r(h) = 11*h - 6. Let j(v) = 6*b(v) - 35*r(v). Let n(q) = -27*q. Let s(a) = 15*j(a) - 4*n(a). Let k(c) = -40*c. Give k(s(m)).\nAnswer: -120*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 143140?\nAnswer: -143133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15*(12\/9 + -1). Let d = f - 4. Suppose 8 = -4*t, 0 = 3*o - 3*t - 52 + d. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36303, 147838, 333731, 593982, 928591, 1337558, 1820883?\nAnswer: 2378566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(72) + 1)**2 + -4 - (1 + sqrt(72) + 0)) + -3*(1 + sqrt(72))*2).\nAnswer: -310 + 150*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 8*d = -240, 5*z - 2*d - 121 + 61 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3813842 = 3*q + 3*u + 14090146, 0 = -5*q - 2*u - 29839992. What is q rounded to the nearest one hundred thousand?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h*z**4 - 13493*h*z**2 + h*z - 609*h wrt z.\nAnswer: -48*h*z**2 - 26986*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141*(-36)\/648*6?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117 or -63?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2 - 28) + (-115 - -129).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 4*a - 3. Let m(r) = -r**2 + 5*r - 5. Let h be m(6). Let t = 14 + h. What is c(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7009*h**2 - 7014*h**2 + 21111*h**2 - 7028*h**2.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45607 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*d - 3210 = -5190 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 6 - 1)*(32 - 15 - 55) - 6 + 1 + 4)*(-4 + 3 + 3)*(-2*q**2 + 2*q**2 - 3*q**4).\nAnswer: 462*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/38)\/i**(-18))\/(i**33)**(-41) assuming i is positive.\nAnswer: i**(52101\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*c - 19 = 0, 4*c - 23 = -8*t + 5*t. Suppose -3*s = -t - 25. Calculate the lowest common multiple of s and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38362843 and -2?\nAnswer: -76725686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4895 is divided by 596.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31934618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/7 - 121698*i**2\/7 + 3592294368*i\/7 + 6761305976704\/7.\nAnswer: (i - 61736)**2*(i + 1774)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1, 2.3448, 0.2 in increasing order.\nAnswer: -1, 0.2, 0.3, 2.3448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 128014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -0.5 (c) -193 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 68.85282 millilitres?\nAnswer: 0.06885282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 0 + 2*f + 0*f**2 - 1\/2*f**3. Let z(n) = 4 - 3*n + 2*n - 4. Calculate h(z(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 15, 2 in decreasing order.\nAnswer: 15, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14345 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-5)*(-15)\/1. Suppose 4*g - 32 = -5*q, 3*g + t = 7*g + 3*q. What are the prime factors of g\/(6\/32*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3957 is divided by 233.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by (-860)\/(-60) - (-4)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**2*m**2*r + 2*a**2*m**2 + 777*a**2*m*r - 2*a**2 + 18 wrt r?\nAnswer: -2*a**2*m**2 + 777*a**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -103*b**2 + 1. Let j(y) be the third derivative of -7*y**4\/24 + 3*y**2 + 11*y. Calculate j(p(r)).\nAnswer: 721*r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 9:07 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140907.\nAnswer: 3, 13, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/11)*r*(r**11\/r*r)\/r*r**4*r\/(r*r\/(r\/((((r*r**4)\/r)\/r)\/r))) assuming r is positive.\nAnswer: r**(144\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -339\/1316075 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 1742 in decreasing order.\nAnswer: 1742, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5\/7 + 40*f**4 - 3414*f**3\/7 - 452848*f**2\/7 - 4537984*f\/7 - 4088832\/7 = 0. What is f?\nAnswer: -24, -11, -1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a**7)\/(a**(-9)*a\/(a**13*a)) assuming a is positive.\nAnswer: a**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 142287 to the power of 1\/2, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**3\/17 + 184016*k**2\/17 - 736040*k\/17 + 43296 = 0?\nAnswer: 2, 92004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.041325 + -0.05828. Round r to 4 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2261679*n**2. Let r(v) = -105*v. What is f(r(h))?\nAnswer: -24935010975*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -1, -167\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 145079 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9177\/2898*36\/760.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c - 3*c + 4*c + (-2*c + 0*c + 0*c)*(2 + 1 - 1) + 0*c + 2*c + 0*c - 5*c + 0*c + 2*c + (c - c - 2*c)*(-3 + 4 + 1) + 0 + 0 - c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 540174 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.00272 + -202.70272. What is q rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 3 - 4 - i**3 - 2*i**3 - 3*i**3 to the form h*i**2 + s*i**3 + d*i + p and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -464290688046 - -321.\nAnswer: -464290687725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/2*3\/1. Let u be 2\/12 + (-39)\/v. Is (-2)\/8*166*u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 374, 907, 1670, 2663, 3886, 5339?\nAnswer: 7022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*v - 3*v + 3*v)*(0 - 2 + 4)*(v - 4*v + 4*v) + (6 - 6 + 8*v)*(-3*v - 6*v - 18*v))*(-2*v**2 + 3*v - 3*v).\nAnswer: 420*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234, 494, 774, 1074, 1394, 1734, 2094?\nAnswer: 2474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 2. Let d be (6\/15)\/(z\/(-40) + 1). Suppose -292 - d = -7*q. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 4*d**2 + 4*d - 1. Suppose -1 = 4*b + 11. What is n(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-15) + 207\/180\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 373.8 from 759.\nAnswer: 385.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 195*t - 281*t + 1032 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -245*a**3 - 35*a**2 - 42711*a wrt a.\nAnswer: -1470*a - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqk when three letters picked without replacement from mmkqmxmkkmmmxmk?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4345277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -2. Let p = u + 5. Let s = 0.1 + -0.1. What is the closest to -2\/5 in 1\/3, s, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - t = -4645, 16*k - 18*k + 2315 = -t. Suppose k = -7*l + 4562. What is the greatest common factor of 54 and l?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10101324 + -4?\nAnswer: 10101320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 719 + -721. Put i, 9, -16, 2 in descending order.\nAnswer: 9, 2, i, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*j - 162 + 14*j + 32*j + 29*j wrt j.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36733, 36760, 36787, 36814, 36841, 36868?\nAnswer: 36895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x + 10 = 0. Let r(d) = 2*d + 1. Let n(q) = 5*q**2 + 12*q + 10. Let j(w) = n(w) - 6*r(w). List the prime factors of j(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*s, -y - 3*s + s = -14. Suppose 4*p - 2*j = 2 + 4, 0 = -3*p - y*j + 10. Suppose -2*z - p = -6. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 28?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*z = -219*z + 3036. Let v = z - -763. Let a(g) = -g**2 - 8*g - 6. Let o be a(-6). Solve 0 = h - v*f - o, 4*h - 3*f - 11 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 4:38 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*m + 6, -y + 3 = -m + y. Let v = -1 + m. Suppose v*r + 6 = 2*r. Which is smaller: r or 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 110*b - 6693. Suppose -10 = 2*v, 417 = l + 2*l - 3*v. What is the remainder when l is divided by o(61)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3083000 to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -15*o + 40. What is the least common multiple of u(0) and 52?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1\/4 (b) -5 (c) -1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -2, -132, 99, 2, -3 in increasing order.\nAnswer: -132, -5, -3, -2, 2, 3, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2368015321 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 436817 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z**2 - 2*z + 4. Let k(p) = -p**3 - 19*p**2 + 9*p + 10. Let v be k(-20). Let y be 3\/(-2)*v\/69. Let d(j) = 7*j**2 + 3*j - 4. Give y*i(r) - 4*d(r).\nAnswer: 2*r**2 - 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*b - 83*b = 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-12))\/(5\/45). Let g = -58 - -58.4. Which is the nearest to g? (a) 0.1 (b) h (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 + 148. What are the prime factors of i?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 e, and 1 t when four letters picked without replacement from {r: 2, e: 7, n: 5, x: 2, t: 4}?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/8*(8\/12 - 1). Which is the third smallest value? (a) -3 (b) 0 (c) x (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77227 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71248 and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i + 122 = 2*h, -36 = i + 4*h. Let m be (24\/(-20))\/(6\/i). Find the common denominator of -3\/2 and (366\/27)\/(m\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -672*o - 676*o - 677*o + 3453*o - 685*o - 741*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2041, -2044, -2045, -2044, -2041, -2036, -2029?\nAnswer: -2020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 36169*c**2 - 12 + 18070*c**2 + 18065*c**2 in the form n*c + x + f*c**2 and give f.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**4 - 12213*b**3 - 61140*b**2 = 0. What is b?\nAnswer: -5, 0, 4076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 6. Suppose t - 16 = -t. Let o(a) be the second derivative of a**4\/12 - 3*a**3\/2 + 4*a**2 - 14*a + 6. Let r be o(t). Give x(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1, -4, 5, -0.03, -19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2464774*b**4 + 37901*b**2.\nAnswer: 59154576*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*y + 10, -2*y + y - 12 = 5*c. Let g(l) = -11*l - 3. Does 6 divide g(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 119*p + 3. Let g(b) = -7*b. Calculate w(g(a)).\nAnswer: -833*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 0.7. Which is the nearest to 2? (a) -1 (b) j (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16579668327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3 = -k, -4 = -k - 4*y + 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 6*c - 4. Let l be k(-4). Let j = l - -1. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 - c**2 + c**2. Let a(v) = -v**2 + 28*v - 42. Let z be a(26). Let j(s) = -3 + 0 - z*s**2 + 8 - 5. Calculate r(j(o)).\nAnswer: -200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-300*g + 792*g - 493*g + 7580)*(2 + 1 - 4) as o*g + n and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*h = 232*h + 9744. Calculate the highest common factor of 261 and h.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - 0.8. Let v = 12 - 12. Let b = -0.07 - 3.93. What is the nearest to v in 0.5, t, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 1*-1*3*(-31 - -32).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - 5493*s + 868965. What is v(150)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + q + 1. Let j(y) = -y**2 + 5*y + 7. Determine j(p) - 4*k(p).\nAnswer: 3*p**2 + p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086171399 rounded to five decimal places?\nAnswer: 0.08617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*x - 29 = -84*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 5*q**2 - 2*q + 5. Let f be p(5). Let n be ((-108)\/10)\/((-632)\/80 - -8). Let u = n - -105. Does f = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 95895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**2 + 10*d = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 11 + 134*y - 117*y to m + d*y and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10*10\/125)\/(10\/(-25)). Sort 4, 33, j in decreasing order.\nAnswer: 33, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.4, -8124, 26?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 103 = -2*a + 45, -2*s + 5*a + 134 = 0. Let j be s\/27 + 1\/3. Solve 2*g - 6 + 0 = 4*v, 0 = j*v + g + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 738 and 1015857?\nAnswer: 2031714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + x - 3*x)*(-3*x**4 - 2*x**4 + 4*x**4) - x**5 + 2*x**3 - 2*x**3 + (34*x**2 + 42*x**2 - 86*x**2)*(-4*x**3 + 3*x**3 - 3*x**3).\nAnswer: 38*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a + 1509 = 0. Does 46 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/366 and -73\/1586.\nAnswer: 4758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + (sqrt(162) + 0)*-5)**2.\nAnswer: -540*sqrt(2) + 4086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -1)\/(5\/30). Suppose -5*l + 1 = m. Let x be l\/(-3)*15\/(-20). Is 0 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.3 - -23.6. Let d be (-61)\/9 + 2 + (-1 - -6). What is the closest to 7\/2 in d, p, -2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1259*c*i**3 + 428287*c*i + 170*i**4 wrt i?\nAnswer: 7554*c*i + 2040*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, r: 1, z: 2, f: 1, e: 1}. What is prob of picking 1 z, 1 f, and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 156280828?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015931764 to six dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25718431*x - 11694476?\nAnswer: 25718431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (135\/(-210))\/(108\/(-28))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 2, u: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14378 times -282?\nAnswer: -4054596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = -32 - 16. Let w(i) = 2*i**2 - 3. Let k(g) = g**2 - 1. Let r = 3 + -2. What is l*k(s) + r*w(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 113, 119, 127, 137, 149?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.07 + -6.67. Which is the third biggest value? (a) 6 (b) l (c) -5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 4*d + 2*d + (2 + 1 - 2)*(-d + d + d) + 0 + 0 + d - d - 2*d + d - 11*d - 9 + 9)*(-1 + 1 + d)*(2*d + 2 - 2) + d**3 - 2*d**3 - d**3.\nAnswer: -22*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 0.1 (b) 2\/5 (c) 0.2 (d) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2217357 divided by -57\nAnswer: 38901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/18 and 41\/4767.\nAnswer: 28602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -347678.\nAnswer: -21\/347678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237600990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*i**2*j**3 + 86*i**2*j**2 - 741*i*j**3 + 2*j**3 + 25*j**2 wrt j.\nAnswer: -150*i**2 - 4446*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270239 is divided by 10007?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 65. Let l(z) = z**3 - z**2 + z - 1. Let p(s) = -5*s**3 + 2*s**2 - 5*s + 2. Let k(r) = 4*l(r) + p(r). Let h be k(-2). Is d(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v**3\/13 - 15018290*v**2\/13 + 32539576*v\/13 - 5006088\/13 = 0 for v.\nAnswer: 1\/6, 2, 1251522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/(s*s**(2\/21)*s))\/s))\/(((s\/((s*s*s**(3\/5)*s)\/s))\/s)\/s)*(s\/(s*s**(-33)*s))\/(s\/s**29))**38 assuming s is positive.\nAnswer: s**(266114\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 556*p - 1. Let r(v) = 559*v. Give 3*l(z) - 2*r(z).\nAnswer: 550*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036675 rounded to four dps?\nAnswer: 0.0367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -526 + 12?\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-1 + 2 - 3)*(5*d**5 + 15*d**3 - 15*d**3).\nAnswer: 20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1806090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1088 - 1090. Sort -48.7, 2\/3, t, 3\/8.\nAnswer: -48.7, t, 3\/8, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2102612205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 686 divide 5287688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 13*p**2 - 37 + 22.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -7354.\nAnswer: -1\/3677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17708636?\nAnswer: 2, 11, 67, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((1 - -3) + -3). Let r = 1 + g. Solve -i = i - r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a tonne in kilograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-4)\/(-56))\/((-1)\/((-126)\/9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 135*o**2 - o. Let n = -11 - -51. Let k be (-14)\/10 - (48\/n)\/(-3). Calculate the remainder when w(k) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011001011 + 101011001111101?\nAnswer: 11101110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 473242433?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -w + 2. Suppose 66 = 9*n - 20*n. Let c be n*(36\/(-8) + w). Calculate the greatest common factor of c and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -773*m + 62 wrt m.\nAnswer: -773","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -10*k**3 - 5*k**2 + 3*k + 2. Determine h(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 30 = -2*d. Is 0 - (-1 + 14*d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x - 57. Let s be g(-20). Let a = -94 - s. Suppose 4*m - 18 = m - 3*b, 0 = 4*m - 3*b - 17. Solve -4*d - a - m = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 9, 20, 25, 18?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15242 divided by -7621?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3 + 3462*p**2 - 42002*p - 296310 = 0.\nAnswer: -1743, -5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 10*w**3 + 2*w**2 + w - 9. Calculate o(-3).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -276, -554, -932, -1404?\nAnswer: -1964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -544808*a**2 - 1403*a - 57 wrt a?\nAnswer: -1089616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 137 + 15*r - 68.\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 4, 2, -14, 1 in descending order.\nAnswer: 5, 4, 2, 1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1192)\/22 - 2\/(-11). Let u be 1*4\/j*3. Let n be 2\/(-7 - 2\/(-1)). Which is bigger: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -86, -138, -196, -260?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/7 - 12*g**3\/7 + 32*g**2\/7 = 0. What is g?\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbcncncx. What is prob of sequence xc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -4. Let w(d) = -2*d + 1. Let k be w(q). Let r be 5*k - (-10 - -7). Put -4, 3, r in ascending order.\nAnswer: -4, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1804444*m - 2728717.\nAnswer: -1804444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 1\/10*n**5 + 5\/3*n**4 + 29 + 32*n**2 - 2*n + 32\/3*n**3. Let t(v) be the first derivative of m(v). Factor t(k).\nAnswer: 2*(k + 2)*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-22) - 212\/(-44). Solve 0 = n - l*n + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/5)\/j)**(-35)*(j*j\/(j**0\/j))**(-3\/7) assuming j is positive.\nAnswer: j**(285\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(847) + 1 + -2)**2.\nAnswer: 22*sqrt(7) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74.431 - 0.569. Let h = 79 + v. Is h greater than -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.19, -2, -8, -5, -7, 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -3\/7, -2, 4\/35, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/(2\/24). Is 16 a factor of -48*(a\/(-9) + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98 + 95. Let j be (27\/(-6))\/(c\/32). Is 49 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 19*x**3 + x**2 + x - 1. Let u be i(1). Suppose 0 = 2*v + 2*h - 34, 2*v - u = -h + 15. Calculate the greatest common divisor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 30054 = 3*j, -5*j + 29309 = w - 20837. Does 92 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 1, d: 1, e: 2}. What is prob of picking 1 d and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 + 12 - 2)*(-8 + 6 + 13)*(4 - 1 - 6)*(2*o**4 + 0*o**4 - 4*o**4 + 3).\nAnswer: 3564*o**4 - 5346","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3694.4688 + 4?\nAnswer: 3698.4688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2161928 by -127.\nAnswer: 2161928\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1797 - -2265. Calculate the lowest common multiple of 3 and b.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/24 + -2)*19\/(152\/96)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5034898.72 and -19.9.\nAnswer: 5034878.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133169?\nAnswer: 133169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7\/z**(-2\/7)*(z**(1\/4))**2)**(-37) assuming z is positive.\nAnswer: z**(-4033\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 - 35 + 17)*(-1 - 1 + 1)*(-29*d + 183 - 183).\nAnswer: -2668*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1767 - 635. Suppose -5*o + w = -x, 3*o - 8*o + 1129 = -2*w. List the prime factors of o.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/48640663 and -67\/10.\nAnswer: 486406630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 2526\/9 + 12\/(-18). Let x = w - 172. What are the prime factors of x?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eiixlxjijexeljxojxxe. Give prob of sequence ile.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233102 - 1122103?\nAnswer: -2021211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-2))\/((-1)\/(2\/(-1)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.1123842 to two decimal places.\nAnswer: -12.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from {w: 1, h: 2, l: 1, d: 1, c: 4}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -12*g + 2. Let b(v) = -77*v + 14. What is -2*b(q) + 13*y(q)?\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -43665 times 9\nAnswer: -392985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 75848 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q**3 - 2134 + 2134.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.84 - -1.34. Which is the smallest value? (a) v (b) -0.16 (c) 2\/23 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*s + 3*s**3 + 349*s.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 1) + 123 - (821 - 790)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -196.006 - -196. Let p = a - -0.406. Sort -4\/7, -0.2, -0.01, p in descending order.\nAnswer: p, -0.01, -0.2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*u - 0*u - 7, u = -o + 4. Let i be (-2)\/1 + -19*o\/(-30). Let l = -25 - -27. Which is smaller: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*i**3 - 158*i**2 + i - 4702 wrt i?\nAnswer: -9*i**2 - 316*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - ((-12)\/9)\/(-1))*3. Let l(y) = y. Let b(j) = -6*j + 10*j - 1 - 3*j. What is c*l(t) + b(t)?\nAnswer: 6*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 172 = 43*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33.81 and -0.4?\nAnswer: -13.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5.14 times 0.4\nAnswer: -2.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times -1024?\nAnswer: -17408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + t**2 - 1. Let c(u) = 43*u**3 - 11*u**2 - 4*u + 4. Let p(x) = -12*x**3 + 3*x**2 + x - 1. Let q(v) = 6*c(v) + 22*p(v). Determine q(g) - y(g).\nAnswer: -5*g**3 - g**2 - 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 9 = -0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 + 50*r - 101. What is y(22)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 223406216 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**2 + 4*l - 510 = 0?\nAnswer: -17, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 5:58 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0 (b) -0.4 (c) 10.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/6 + 49*v**2 + 23837*v\/6 + 83732.\nAnswer: (v + 33)*(v + 88)*(v + 173)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t = -10*t - 2*f - 3, -11*f = -3*t + 36*f + 150 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 + -580. Let y = a - -906. Let x = 1147 - y. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 561 and 651.\nAnswer: 121737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + 4*o - 4*o - 1 + 1 + o**3 + (-o + 2*o**2 + o)*(-2*o - o + 4*o) - o**3 + 0*o**3 + 2*o**3 - 15*o**2 - 7*o**3 - 3774*o + 1974*o + 2598*o + 16*o**2.\nAnswer: -2*o**3 + o**2 + 798*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 33?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 11:49 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*q**2\/13 - 75206*q\/13 - 1380\/13 = 0. What is q?\nAnswer: -2\/109, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29*s**2 + 473*s + 54071.\nAnswer: 58*s + 473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 a when three letters picked without replacement from kaakk.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81679*y**2 + 163353*y**2 - 81682*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-1))\/((-8 - -4) + 2). Solve w + 2 = j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/4263 and 48\/2138605.\nAnswer: 6415815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 21*p**2 + 51*p - 1. Give t(-18).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -1. Find the common denominator of (-1)\/(-3) - 1085\/240 and ((-952)\/36)\/((-8)\/l).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 1828?\nAnswer: 5484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from {s: 4, k: 7, v: 1, g: 3, f: 4}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 12:14 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101001 - 111?\nAnswer: 1100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.298, -1\/6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(1152) + sqrt(1152)))**2 + (1 + sqrt(1152))*-5 + -2.\nAnswer: -120*sqrt(2) + 4601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/64 of a kilometer?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**5 - 20*t**4 - 40*t**3 - 40*t**2 - 20*t - 4 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccckcccccccc. Give prob of picking 1 c and 1 k.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*g**4*z - 173*g**2*z**2 + 8*g**2 - 3*g + 3*z**2 - z + 27765 wrt g.\nAnswer: 960*g**2*z - 346*z**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (411 - i**3 - 3*i - 220 - 447)*(4*i - i - 4*i).\nAnswer: i**4 + 3*i**2 + 256*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1669657 to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 129 - (-4 + (-3)\/(-1)). Suppose 17 = -14*g + b. Solve 5*i = -23 + g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 309 - 295. What is the remainder when 164 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, z: 1, l: 2, i: 2, u: 3, b: 5}. What is prob of sequence izl?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1648839156 to the nearest integer?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 462\/252 + 13\/(-6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13080479 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*k + 154 = 0, x + 2*k + 62 = -x. Let o = x + 29. Which is the closest to o? (a) -2\/9 (b) -4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((14 - 7) + (-2 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - j - 8 = 0, 16*z + 3*j = -7 + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2889048272 take away -0.3?\nAnswer: -2889048271.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (5 - 14) - 8 - (0 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16452 and 45675?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -10. Let w(p) = -3*p + 21. Let m(a) = -9 + 4*a - 2 + 1 - 2*a. Let z(n) = -5*m(n) - 3*w(n). What is z(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 = 7. Let b(o) = -17*o + 2. Is b(h) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 6:12 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -50 - (123 + -66) - -224\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 - -5 - ((-162)\/2 - -11) is divided by ((-30)\/60)\/(1\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 1:29 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -5*h**3\/6 + h**2\/2 + 9*h. Let z(l) = l**2 + 6*l + 6. Let m be z(-5). Let x be w(m). Sort 4, -2, x in descending order.\nAnswer: 4, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**3 - 13*p**2 + 7*p + 5. Let b(f) = 20*f + 7 - 38*f**2 + 2 + 6 - 8*f**3. Let x(w) = -4*b(w) + 11*m(w). Is x(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3240 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 9 (b) -0.038 (c) 0.0478\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 146232 and 182790?\nAnswer: 731160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1 - -2) + (-2 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.9 + -2. Let k = -0.107 + 0.207. Which is the nearest to x? (a) -3\/7 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**4 - y**3 - y**2 + y - 1. Let i(g) = -231*g**4 + 3*g**3 + 3*g**2 - 7*g + 22. Let m(n) = i(n) + 3*q(n). Find the second derivative of m(d) wrt d.\nAnswer: -2844*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.084 + 38.916. Let h = 39.27 - b. Let s = h + -0.269688. What is s rounded to five decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 322 - 90. Suppose y - k + 58 = 0. Solve y = -f + 5*f - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*p - 305 = 0, -10*a = -7*a - 3*p - 159. Calculate the remainder when 155 is divided by (6\/a - 8500\/969)*-3.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6238.000003587 - 6238. What is v rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126264*k + 156493*k - 99435*k + 167923*k.\nAnswer: 351245*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1115190, -1115882, -1116574, -1117266, -1117958?\n\"Answer: -692*b - 1114498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/sqrt(4)*-6 + sqrt(21)\/sqrt(12).\nAnswer: -11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Let i be (9\/6 + m)*2. Suppose 103 + 0 = 5*o + 4*y, -i*o - 4*y = -65. What is the remainder when o is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53656 - 53656 - 77887*i**3.\nAnswer: -77887*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/((-440)\/(-50) + -9 + (-18)\/(-40)). Solve 2*t = 42*t + z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 14. Let j be n(-16). Suppose -5*p - 14*y = -15*y - 2121, j*y - 8 = 0. What are the prime factors of p?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 382dca - -1?\nAnswer: 382dcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 9 = g + 4*g, 0 = -4*v + 5*g + 1. Is 6\/((-2)\/v) + 76 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -655*f + 656*f - 7340018 = 0. Let t = f - -369982. What is t rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -8166?\nAnswer: -5\/8166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 10:12 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(2\/4)\/(1\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 120*o**2 + 0 + 0 + 6*o + 0.\nAnswer: 120*o**2 + 6*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/8 (b) -680099 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 0 - 1\/20*d**5 + 2*d - 1\/3*d**3 - d**2 + 1\/3*d**4. Suppose -13*u - 8 = -60. What is w(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15760, 31447, 47098, 62695, 78220, 93655, 108982?\n\"Answer: -3*t**3 + 15708*t + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761909.\nAnswer: 739, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*k**2 + 235*k**2 - 531*k + 266*k + 265*k - 434*k**2.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40273 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 y, and 1 p when four letters picked without replacement from {n: 3, e: 1, p: 4, f: 2, y: 2}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*n = 1209*n - 9126 - 44698. Suppose -5*y + 2*h + 286 = -0*h, 2*h - 178 = -3*y. What is the highest common factor of n and y?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 2.98. Let u = 2.98 + c. What is the nearest to 2\/5 in -1\/4, 5, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2602 - -1779. Let v = b + 2330. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 27*a**2 + a - 1. Let k be w(4). Suppose -30*s = -25*s - k. What are the prime factors of s?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.2. Let q = 2\/1095 - 3299\/7665. What is the smallest value in q, 1, n, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s**3 + 2*s**2 + s. Let k be u(-1). Let y(w) = w**2 + 5*w + 14. Let r be y(k). What are the prime factors of 14\/r*566*1?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9095908 is divided by 131823?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 2*r. Let p(n) = n**2 + 3*n. Give -3*k(c) - 2*p(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**3 - 173*o**2 - 1460*o + 15. Give m(-20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**3 + 3*s**2 - 3*s + 2. Let i be h(3). Suppose 2*m + 3*m - i = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4765455 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/100)\/(4 + (-855)\/140 + (-1)\/7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1971800 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -761 - -872. Suppose -3*o + a = 54. Calculate the remainder when o is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c563 - 2?\nAnswer: 5c561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5. Which is the closest to f? (a) 1\/5 (b) -1\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 1241382*l**2 - 128069566836*l + 72367712131224.\nAnswer: -3*(l - 562)*(l + 207178)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1853.46 kilograms to milligrams.\nAnswer: 1853460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 12.297576ms?\nAnswer: 0.0002049596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 3*j - 8*j + 7*j + 1 - 1.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.3. Let h be 2\/7 + 8\/(-77). Which is the nearest to 0? (a) h (b) 3\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 - -8.56. Let k = -51.016 + 59.69. Let t = n - k. What is t rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - f - 3*f + 16 = 0, -3*c - 5*f + 17 = 0. Suppose 645 = 5*g + 2*p, -p + 0*p = -c*g + 516. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z - 37. Let y be c(15). Let v be 5\/20 - (-14)\/y. Find the third derivative of -41*r**3 + 31*r**2 + 29*r**2 - 25*r**v wrt r.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 b when four letters picked without replacement from bfbddbdb.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -3. Let d be 1*(-2)\/3 + (-34)\/(-6). Suppose t + 5*a - 31 = -t, -x*t + 37 = d*a. Solve 7*l - t*l = r - 15, -5*r = -2*l + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t = -6. Let r(f) = -t*f - 5 + 4 + 5. Let b be r(-3). Solve 4*a - p + b = 2*a, 3*a = -4*p - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 275 and 1438850.\nAnswer: 15827350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7.40831 and 406093.448.\nAnswer: 406086.03969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)*q*q**(2\/5)*q)\/(q*q*q*q**(1\/7)*q*q*q\/q**(-15)*q) assuming q is positive.\nAnswer: q**(-866\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6956*a + 6960*a - 5*z - 10, 1 - 5 = -4*a + 4*z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-24))\/((-1)\/6). Let a(r) = r + 13. Let o be a(-9). Suppose b + 5*c = 0, c - 52 = -2*b + o*c. Solve -16 = 2*u + i*u - 2*f, b = -5*u - 4*f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-5)*8\/((-144)\/(-45)). Let v(i) be the first derivative of p + 0*i + 0*i**2 + 2\/3*i**3. Let z(w) = -15*w. What is z(v(u))?\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119\/4 + 14. Calculate the common denominator of -123\/10 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -119, 3, -5.\nAnswer: -119, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14702 + 14702.2. Which is the closest to 0.3? (a) 0.6 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 202 = 2*i + 5*o, 0 = i - 4*o + 107. Let l = i + 106. Let u = 4 + -6. Sort l, u, -9.\nAnswer: -9, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*sqrt(3136) - sqrt(3136)))\/((sqrt(1008)*-2*6 - sqrt(1008)) + sqrt(1008)).\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2.5. Suppose y + x = 5*y - 275, -x + 355 = 5*y. Let f = y + -83. Which is the third biggest value? (a) f (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -708*o**2 + 7*o + 4. What is n(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 127546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 + 4*c**3 + 68*c**2 + 60*c.\nAnswer: -4*c*(c - 5)*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 4*o - 4. Let k(i) = -3*i**2 + 5*i + 5. Calculate -4*k(w) - 5*y(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 0. Solve -c*w + 8 = -4*n, -4*n - 25 = n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -423913, -847647, -1271381, -1695115, -2118849?\nAnswer: -2542583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*q - 1418 + 706 + 695 to the form g + m*q and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659139012.\nAnswer: 2, 3, 7, 181, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 3*b = -13*u - 24, -4*u - 169*b - 16 = -168*b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1876742534?\nAnswer: 2, 938371267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 9:53 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41223?\nAnswer: 3, 7, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -231*t - 1332. Determine h(-6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10757 + -64679\/6. Calculate the common denominator of l and -19\/1131.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 3:01 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {b: 1, q: 3, u: 1, s: 2, n: 2, i: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 0*h**2 - h**2 - 3 + 1 - 4*h. What is the units digit of g(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.0727885 weeks?\nAnswer: 44022484800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -22) + -2 + 174\/(-26)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 n, and 1 s when four letters picked without replacement from {r: 2, j: 3, n: 3, i: 7, s: 3}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, g: 9}. Give prob of sequence gg.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q = -15. Suppose 0*x = -w + q*x - 23, 4*w + 5*x - 33 = 0. What is the remainder when -25*(0 - -1 - w) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 8\/7*s + 2\/7*s**4 - 236\/7*s**2 - 8\/7*s**3 + 234\/7 = 0?\nAnswer: -9, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 0*p - 2\/3*p**3 - 1\/2*p**2 + 26. Determine m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (2 - 36) - 944\/(-59)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n**3 + 2*n**2 + 29*n - 3. Let k(b) = 13*b**3 + 2*b**2 + 34*b - 3. Let q(m) = 6*k(m) - 7*l(m). Determine q(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15128 by -8.\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 21. Let a = -8.6 - u. Let v = 806\/77 - 72\/7. What is the biggest value in a, v, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -656.\nAnswer: 2624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 9. Let v = -3 + p. Put 0.2, -1, v in decreasing order.\nAnswer: v, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 3395540*b**2 + 6791068*b + 3395532.\nAnswer: 4*(b + 1)**2*(b + 848883)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 475485468 a multiple of 3217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 614645641 and -0.5.\nAnswer: -307322820.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -68+-68614808388.17\nAnswer: -68614808456.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42598447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 861 = -p + 5*t, -5*p - t + 1040 = 0. What is the remainder when p is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*f - v + 10, 4*f + 5*v + 56 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83.5 + 27.\nAnswer: 110.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00188 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 4*j + 270, -216 = 4*o + 3*j - 6*j. Let r = o + 256. Suppose 4*h - 186 = r. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*n**2 - 3*n - 2 + 3*n**3 + 6 + 50*n**2 + 15*n**2 wrt n.\nAnswer: 18*n + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9905\/18 + 4726\/9. Suppose 9*a - 10 = 4*a. What is the common denominator of l and (39 - -12)*a\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + x**2 + x**3)*(-20*x**2 - 2*x + 6*x**2 + 3*x**2 + 4).\nAnswer: -11*x**5 - 2*x**4 + 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23647601149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-137463 + 349*h**2 - 296*h**2 + 14*h + 137463)*(h - 1 + 1) to l*h**2 + z*h**3 + s + u*h and give z.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 53\/5 of a millennium?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*1\/2*-1. Let q = -54 + 63. Let m be (12\/(-54) + 4\/q)*-1. Which is the second biggest value? (a) 2 (b) f (c) m (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453742 divided by -1?\nAnswer: -453742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -340 - -628. What is the greatest common divisor of h and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 0 - 14792\/(-1204).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 261\/435 - 9\/15. Let n be ((-6)\/(-21))\/((-1)\/(-2)). Which is the third smallest value? (a) n (b) 3\/2 (c) 1\/2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, -4744, -12790, -24020, -38434?\nAnswer: -56032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1403181197*p - 1403181197*p - 5*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 19*s - 3. Let l be u(-3). Let r be (-5)\/((l\/(-8))\/(-3)). Suppose p = r*p. Solve -5*w + 3 = -4*m, -4*w = -4*m - p*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8277 = -6*a + 8289. Solve 2*c = -2*x + 18, 6*c - a*c = 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15221 + -1757. Is 88 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14528, 14525, 14520, 14513, 14504, 14493, 14480?\nAnswer: 14465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49868406 divided by 8311401.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 - 55 + 34 + 13*c**3 + 19 + 0*c**2 - 2*c to o + f*c**3 + q*c**2 + r*c and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -21. Suppose 2*d = l + 4. What is the common denominator of 23\/d + 8\/16 and 93\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -2*l**3\/3 + 9*l**2 + 78*l - 1. What is t(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 502*b**7\/105 + 1559*b**3\/6 - 1397*b**2. Differentiate y(u) wrt u.\nAnswer: 4016*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 v, and 2 r when four letters picked without replacement from {r: 3, e: 2, v: 2, x: 1, k: 3, j: 3}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**3 + 4*d - 4. Let u(r) = -3*r**3 + 3*r - 3. Suppose 18*j = -5*k + 13*j - 10, -25 = -5*k + 2*j. What is k*z(n) - 4*u(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five quarters of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l - 3*l + 3*l)*(554 + 128 - 144) + l - 3*l - 2*l in the form b*l + f and give b.\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 402818308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47\/2 + -24. Let w = 64.44 + -69.44. Which is the biggest value? (a) s (b) w (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1443 and -1776.31.\nAnswer: -1776.4543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 15*w**2. Let c(y) = 2*y**2 - 63*y - 9. Calculate c(g(l)).\nAnswer: 450*l**4 - 945*l**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2389*o + 1045*o - 2223*o - 1043*o in the form m*o + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/20)\/((-1)\/(-4)). Suppose i = -2*o + o + 2*x, 0 = 5*o - 5*x. Which is greater: -1\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3251775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5652 - -7247. Put w, 3, 1 in increasing order.\nAnswer: 1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 5. Let m = 14 + -6. Suppose 2*f = 4*f. Suppose 2*i + m = -f*i. What is a(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(363) - (sqrt(363) + 1) - sqrt(363)) + sqrt(363) - sqrt(363))*2 + 1 + (sqrt(363) - (sqrt(363) - (sqrt(363) + 1))) + 5)**2.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 388471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000250133 rounded to seven dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(405) + -2 + 4))**2 + (sqrt(405) + (6*(2 + sqrt(405)))**2)*-2 + -4.\nAnswer: -14872 - 2610*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 229*t**3 + 3 - 3 - 226*t**3 - 20*t to n*t + k + d*t**2 + g*t**3 and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 62*p**2 + 286*p - 273. Let g be a(-51). What is the highest common factor of g and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7167 minus -25150374187?\nAnswer: 25150374187.7167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 + x. Let n(m) = 7*m. Let t(r) = 3*r. Let g(z) = -2*n(z) + 5*t(z). What is g(i(c))?\nAnswer: 4*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201 (base 3) to base 15.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + q**3 - 2*q**3 + (-q**2 + q - q)*(3*q - 3*q + q) - 2*q**3 - 3*q**3 + 6*q**3 - q**3 + 3 - 3 - 320*q**3 + 69348*q - 69348*q.\nAnswer: -322*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 30620 - 7585 = 0. What are the prime factors of t?\nAnswer: 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1640\/492)\/((-5)\/(-3))*(-22)\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/2*12219\/12. Let r(q) = -1 + q - 6*q**2 + 2*q**2 - p*q**3 + 5. Let g be r(3). What is g rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iinypni.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 15 = 1633*k - 1628*k, 0 = 2*k + x - 2. Let i(y) be the third derivative of y**4\/6 + y**3\/6 + y**2. Give i(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**1\/v)\/v)**(25\/6)*v*v**(-5)\/v*v*v**(-5\/6)*v)\/((v*v**(2\/11))\/v**6*((v\/(v\/v**(-2\/7)))\/v)\/v**(-7)) assuming v is positive.\nAnswer: v**(-685\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 3*j - 3*j)*(11*j**2 - 258*j**2 + 131*j**2) + (-3 + 0 - 2)*(-j**3 + j**3 - 2*j**4).\nAnswer: 126*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8288493*o + 31571672 with respect to o.\nAnswer: -8288493","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11 + -10 - 8\/(-2). Solve o + 4 = t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19015 - 10807. Does 108 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 2:30 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.9? (a) 23\/14 (b) -2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2379762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41 or -3?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + -1 + -4)**2 + sqrt(114)\/(1*(sqrt(6) + sqrt(24)\/sqrt(4))).\nAnswer: -79*sqrt(19)\/2 + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 211. Suppose -a + v = 3*v - 6, -v = -3. What is the tens digit of x(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1996, -2038, -2080?\n\"Answer: -42*d - 1954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 16*r - 37. Let p be c(10). Let w(v) = 2*v**3 - v - 3. Let g(m) = -2*m**3 - 1 + 2 + m**3. Determine p*g(a) + w(a).\nAnswer: -a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o + 1. Let v be x(1). Let h = v + -4. Suppose h = -r - 3*r + 8. Solve -r = -0*m + 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(5\/3)*q*q**(-3\/2))\/(q**0*q**(-4\/11)))**(2\/83) assuming q is positive.\nAnswer: q**(-53\/2739)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 219*0.2725\nAnswer: 59.6775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -1\/3*h**3 + 0*h + 1 + 1\/2*h**2 + 1\/24*h**4. Let g(s) be the second derivative of w(s). Differentiate g(u) with respect to u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 2\/21943467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2309, 4620, 6931, 9242?\n\"Answer: 2311*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1. Let u = 0 + 2. Let i = r + u. Is i not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 9.7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (21*13\/364)\/((-5)\/120)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/9, -7, -34?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4 + 592088*r**3 + 43828721436*r**2 + 1139246586296*r + 7404452459378 = 0. Calculate r.\nAnswer: -148009, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -10 in descending order.\nAnswer: 5, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -35*z**2 - 1606*z + 12856. Calculate m(8).\nAnswer: -2232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 326 and 7987?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037 less than 12.1?\nAnswer: 12.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1443.93 + 1444. Which is bigger: -237 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11, -208 in descending order.\nAnswer: 11, 3, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*c + 28*c**2 - 26*c**2 - 125*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13669.66 rounded to the nearest 10?\nAnswer: -13670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4 - 99*x**3 - 816*x**2 - 1008*x + 1920 = 0. What is x?\nAnswer: -4, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1953 and 8463?\nAnswer: 25389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*t + t. Suppose 8 + 7 = t*m. Is 6 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -201.713 to the nearest integer.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14331121061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87300 by -4850.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2297, -2299, -2301, -2303, -2305, -2307?\nAnswer: -2309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from kkckkccwgwwkcmkcwcww?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26665152 and 672?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**2 - 5*u**2 - 2*u**2 + (-3 + 2 + 3 - u)*(5*u - 2*u + u).\nAnswer: -7*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + (-4 - -3) - (-7 + -13). What is the highest common factor of z and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.89 and 2.8339278?\nAnswer: 5.7239278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131395.\nAnswer: 5, 11, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 152849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*n = -172*n + 65826. What are the prime factors of n?\nAnswer: 2, 3, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 1. Let c(q) = q + 6. Let a = -21 - -22. Let k(n) = a*c(n) + 6*x(n). Find the second derivative of k(f) wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 - -1231311012?\nAnswer: 1231310310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * 12092.\nAnswer: 205564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/15*(-8 + 4 + 9). Which is the nearest to h? (a) -5 (b) -3 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6650810.5 to the nearest 1000.\nAnswer: 6651000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 2270175*z**2\/2 + 161052812196*z + 40263273992.\nAnswer: (z - 283772)**2*(4*z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13039 is divided by 12613.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -526 - -1083. Let o = -518 + m. Solve 0 = -7*j - 60 + o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -17. Let y(l) = 3*l**2 - 2*l - 1. Let w be y(c). Let h(d) = -d**2 + 19*d - 7. List the prime factors of h(w).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1034*c + 18*c**2 - 1034*c. Let j(u) = 10*u + 4. Let q(a) = 3*a + 1. Let g(d) = j(d) - 4*q(d). Determine g(v(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(5200) + 5)**2*4.\nAnswer: -20944 - 960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2994 + 1009 + n + 971 + 1014.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/25308 and 89\/2592664?\nAnswer: 23333976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, -1134, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103304 - -22?\nAnswer: -103232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318.41667 rounded to the nearest 10?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.95 - 0.05. Let n = -6 - u. Which is the closest to 2\/5? (a) 0.4 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**4\/12 - 5*i**3\/6 - 15*i**2\/2 + 11*i. Is k(11) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12250170 - 26?\nAnswer: 12250142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -80322\/2591 <= -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10995003 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (21 + (-3 - 3) - -4) + -2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 21222022220112?\nAnswer: -21222022220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.007 in 3, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m - 2*m**3 - 35 + 32 - 4*m**2 + 132 + 34 to the form n*m + q*m**3 + p + y*m**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.26050009 and 0.03.\nAnswer: -0.0078150027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(14\/(-133)) - 7 - 7. Put -1, f, -50 in descending order.\nAnswer: f, -1, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12862.4 times 1?\nAnswer: -12862.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 5 + (-21 - -29).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -17, -23, -29, -35?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcmk when four letters picked without replacement from {c: 1, t: 1, k: 2, l: 1, q: 1, m: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 301*v**4 - 2*v**2 + 2967.\nAnswer: 1204*v**3 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 19. Find the second derivative of -o**2 + i*o - 3 - 2 + 5 wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 5:58 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 12 = -a. Suppose 0 = -2*g + a*g - 8. Let h(y) = -y**2 + 6*y - 2. Determine h(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c**2. Let m(z) = -z**2. Determine u(m(v)).\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*h - h - 24, -r - 12 = 4*h. Let s be (r\/48)\/(((-15)\/(-2))\/(-5)). Put s, 5, -3, -2 in descending order.\nAnswer: 5, s, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 4*x**2 + 2*x + 2. Let i be l(-2). Let c be (-285)\/i + (-2)\/4. Calculate the common denominator of 0 + (220\/c)\/(-1) and 69\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/2)\/c)\/((c**(-3)\/c*c)\/c)*c*c**(-5)*c**3 assuming c is positive.\nAnswer: sqrt(c)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 3856*z - 968202. What is u(-270)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-42 + 2)\/(((-9)\/(-51))\/3). Let q be k\/(-56) + 2\/(-14). Calculate the greatest common factor of q and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*p = x - 1137, 0 = 3*p + 9. Calculate the greatest common divisor of 34 and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/3)\/(25\/(-210)))\/(34762\/(-6685))?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**2 - 2*n - 1. What is a(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-11 - (-13 - -3 - -17)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = 7*d - 4600. What is the remainder when d is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 + 72. Let z be (-6)\/f - 176\/(-28). Suppose 0 = z*l - 129 - 33. What is the remainder when l is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 983773 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1661 - 3321\/2. Which is the nearest to 0.2? (a) -1 (b) -4 (c) i (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -40*o - 6. Let k(p) = 41*p + 6. Let b(m) = -5*k(m) - 6*x(m). Let v be b(4). Suppose -v = 2*u - 1740. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 + (-1 - (0 + 1)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77 - 77 - 19*p**4 + 0*p**4 - 3*p**4 - 2*p**4 + (p**2 - p**2 - 2*p**2)*(-2*p**2 + 3*p**2 - 3*p**2) to s*p**2 + r*p**4 + b + x*p**3 + y*p and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 378723104?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**6\/360 + c**5\/60 - c**4\/24 - 7*c**3\/3 - 7*c**2. Let r(n) be the first derivative of x(n). What is w in r(w) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 383116 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddereneedderenennkdk. Give prob of picking 1 e and 3 n.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-14)*(-12)\/9*39\/26?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 24 - 20 = 0. Let j = 24 + n. Let i(w) = -3*w**2 - 7*w**j + 9*w**2. Let g(q) = q**2. Give g(i(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102222 + -133?\nAnswer: 102045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2980 and 5662.\nAnswer: 56620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.37 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -63, -38, 3, 66, 157, 282, 447?\n\"Answer: c**3 + 2*c**2 + 12*c - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -20 - 111*u**3 - 112*u**3 + 0 - 28*u**2 + 219*u**3 - 44*u = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.326 (b) 54 (c) 1\/155 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003749 to 7 decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5265\/4*v - 12393\/2 - 63*v**2 - 3\/4*v**3 = 0. What is v?\nAnswer: -102, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-9) - (-57)\/117. Let r = -21 - -5. Let m = 16.4 + r. What is the third biggest value in p, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3063550 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*q + 27 = -q, 0 = -5*y - 5*q. Let 2*x**y - 7 - x**4 + 7 = 0. What is x?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(102) + 2*sqrt(102)))\/(-3*(sqrt(6) - sqrt(96))).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 2*l**2 + l**2 - 4 + 4 + (2*l + 4*l - 4*l)*(-l + 6*l + 3*l) as n*l + p*l**2 + c and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 19*y - 37. Calculate r(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.02 - 0.22. Let g = 10.087 - k. What is g rounded to two decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -46944, -93911, -140878, -187845, -234812, -281779?\n\"Answer: -46967*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + -94. Let o = j + 174. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(4\/15)*i*i*i)\/(i\/i**19))\/(i\/((i\/(i\/((i\/i**(8\/5))\/i))*i)\/i)*i\/i**(-9\/7)) assuming i is positive.\nAnswer: i**(365\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 60208 and 89.89?\nAnswer: 60118.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**4 - 310*c**3 + 204*c**2.\nAnswer: 2*c**2*(c - 51)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -30462862.4 less than 0.21?\nAnswer: 30462862.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 13*g + 25\/6*g**3 - 7*g**2 + 0. What are the prime factors of x(4)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1572.087 + -1675.04. Let r = i - -103. Round r to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -13 + (-11 - -29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 363 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + -3)\/((-1)\/15). Let z be 4\/6*r\/(-6). Suppose -z*i = -4*i - 55. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390079 is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4003401498?\nAnswer: 2, 3, 19, 1453, 24169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 797 + 224 = 20*a - 185 - 474 for a.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 64. Let z = 63 - i. What is the biggest value in -0.02, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q - 4*q**3 - 6*q**4 - 4*q**4 + q**4 + 7*q**4 + 2.\nAnswer: -2*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than or equal to -0.035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 19, 3, -7, 1\/3, 1\/31 in increasing order.\nAnswer: -7, -0.1, 1\/31, 1\/3, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1330161736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (4 - 23) + (43 - (-12 + 50))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-153)\/306)\/(((-72)\/9)\/(-1808))?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-21)\/(-3)*-2 - -3808 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1904 and 12.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/3 + 6346*u**4\/3 - 194864*u**3\/3 + 62840*u**2 = 0 for u.\nAnswer: 0, 1, 30, 3142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11751 is divided by 68.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 1 + 1)*(3 - 4 - 1)*(3*p**2 + 14 - 14 + 3*p + (p + p + 0*p)*(p + 4 - 4)) as v*p**2 + q + s*p**3 + t*p and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0117552 rounded to 4 dps?\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 26. Let s = -7.6 - c. Let w = 0 - 0.3. What is the smallest value in 1, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 5:21 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*h + 143, -3*h + 0*f = -4*f - 73. Suppose y = 4*y - 6, 3*j + 5*y - 100 = 0. Suppose h + j = 3*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*p - 151 - 37 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 5 (b) -2 (c) 0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 31*g - 4*g + 2*g.\nAnswer: -33*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/53 and 65\/2?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 1\/12*f**4 + 0 + 4\/3*f**3 - 1\/6*f**5 - 5*f**2 + 0*f. Find k, given that u(k) = 0.\nAnswer: -4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1845?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.093 in -2, 0.2, -0.02, 5, -8?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -2*q**3\/9 - q**2 - 4*q\/3 + 81. Factor p(f).\nAnswer: -2*(f + 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 33*x + 702*x - 8 - 123*x + 1 to u + k*x and give k.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, p: 2, u: 1, y: 1}. What is prob of sequence uyx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117.5 + -131. Let x = -14.4 - o. Which is the closest to 1? (a) 1 (b) x (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14765 equal to 14535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 145219098 plus 9?\nAnswer: 145219107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28232?\nAnswer: 2, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.42 + -0.28. Let k = 0.70176 + o. Round k to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -14. Let v = 14 - -7. Suppose v = f*l - 43. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g - 4. Let c(t) = 3*t + 2. Suppose -4*o - 3 = 5. Let f be ((-12)\/36)\/(o + 39\/18). Determine f*r(i) - 5*c(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 17*t**2 - 3*t - 5. Let b be w(-1). Solve 3*s - b = -3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2*f + 8396 - 2760, -5*x - 5*f + 14130 = 0. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2222*j**3*k**2*v**2 - 3*j**3*k - 9*j**3*v**2 - 3*j**2*k**2 + 2*k**2*v + 3617*k*v wrt v?\nAnswer: -4444*j**3*k**2 - 18*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, r: 6}. What is prob of sequence rv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 66 - 48. Suppose -33*b + r*b = -18690. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l - 23595331 = -69268968. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a*v**2 + 1155*a - 2530*v**2 wrt v.\nAnswer: 2*a*v - 5060*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 8794?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4137.00862 rounded to one dp?\nAnswer: -4137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -1\/4, -5, -1\/7, -480.73, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1100110000110 (base 2) to base 9\nAnswer: 8860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 7320*s**2 + 124713*s + 117392.\nAnswer: -(s - 7337)*(s + 1)*(s + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 - 18555*g + 18442*g + 5 - 4.\nAnswer: -113*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.6951.\nAnswer: 2.0853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 925\/2 - 486. What is the common denominator of 35\/4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 14688.\nAnswer: 73440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3. Let n = -2 - -2.14. Let w = n - -0.86. Which is the nearest to w? (a) 4 (b) -0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1010?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 534512413297?\nAnswer: -534512413302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/6947444 and 22\/7.\nAnswer: 6947444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 124 - 9. Calculate the remainder when l is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 250023 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16091982449 rounded to 6 decimal places?\nAnswer: -0.16092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7197881 or 7197902?\nAnswer: 7197881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**3\/2 + 27585*a**2\/2 = 0.\nAnswer: -5517, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8106 and 603428?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1454.2 + -3762.\nAnswer: -5216.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44\/21 + 8\/3. Sort a, 0.05, 1\/6 in decreasing order.\nAnswer: a, 1\/6, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7544338*m**3 - 168564288*m**2.\nAnswer: -45266028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, a: 8, k: 5}. What is prob of picking 2 i and 2 a?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 - -55. Suppose 4*x + 40 = -3*u + 99, -d*x + u + 54 = 0. Suppose -3*w + x = 5. Calculate the lowest common multiple of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -0.5, 5, 0.2 in increasing order.\nAnswer: -0.5, 0.2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33828.13cm in kilometers?\nAnswer: 0.3382813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 51 + 4 = q, 0 = -u + 4*q + 1. Let c(w) = w**3 - 17*w**2 - 2*w**3 + 11 - w + 6 + 2*w**3. Let b be c(u). Solve h + 3*h = b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d**2 - 4*d**3 - 21 - 8*d**3 - 16*d**3.\nAnswer: -28*d**3 + 23*d**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 22 = -6. Let a = -10 + 7. Let x = 5 + a. What is the third biggest value in u, x, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -579.7444 rounded to the nearest integer?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10573*d + 10573*d - 5*d**3 - 11*d**2 + 3*d**3.\nAnswer: -2*d**3 - 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 - -67. Which is the smallest value? (a) d (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w**3 - 9*w**2 - 3*w + 9. What is the tens digit of s(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + x = 54246 + 196197, -5*p + x = 1252219. Let n = -382444 - p. Round n to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12070 = -0*s + 10*s. Let x = s + -472. Does 28 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36352 - -36347. Let s be (-8)\/(-14)*(-5)\/10. Sort -19.1, m, s in ascending order.\nAnswer: -19.1, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121467721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-1 - 1) + 72\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 5*r - 2. Let z be p(6). Let i(j) = 26*j - 21. What is the remainder when i(z) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dssdijddjddddiddjjis.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 51027343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y + 32. Calculate d(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.842 + 22.642. Which is the third biggest value? (a) -109 (b) f (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-8)\/((-360)\/(-1305)))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -129794810.\nAnswer: 1\/129794810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7307676 divided by 3653838.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**6\/60 - s**5\/50 - s**4\/30 - 6*s**2. Determine m so that o(m) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 939694783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2. Let g be 2\/(-9) + (-3)\/108. Does g = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*q - 11352 = 12*q + 31*q + 32*q for q.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19351 + -0.1.\nAnswer: -19351.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t - 12*t + 8*t. Let l(x) = 2*x. Let a(q) = q**3 - 4*q**2 - 7*q + 6. Let v be a(5). Let b(z) = 5*z. Let r(s) = v*b(s) + 11*l(s). Determine r(h(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 414 = -79*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3 - -22*20\/600?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (16 + -6) - ((-5 - (4 - 7)) + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 516*l - 1214*l + 605*l to the form b*l + t and give b.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26267846*f**2*g**3 - 25*f**2*g**2 - 449*f**2*g - 93*g**2 + 2*g wrt g?\nAnswer: -157607076*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1008 (b) 4 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h - 46. Let w be b(9). Let p be -2 + (7 - 10) + w. Determine u, given that 186\/7*u**2 - 32*u - 18\/7*u**p + 72\/7 = 0.\nAnswer: 2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-8) - (-18)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 + 7*p**2 - 2. Let r(d) = d**3 + 8*d**2 - 3. Let y(k) = 3*j(k) - 2*r(k). Find the third derivative of y(t) wrt t.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0 - 4. Let r(m) = -m**2 - 6*m - 6. Let n(x) = -6*x + 27. Let v be n(5). Let k be r(v). Sort k, -3, h in decreasing order.\nAnswer: k, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10639 - 24*z + 10634 - 21275.\nAnswer: -24*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(4*2\/40). List the prime factors of 2\/2 - j\/(-1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(242)*3 + 0 - (sqrt(8) + 0 + 0 + 1*sqrt(2))) + 0.\nAnswer: -4 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 792\/594*(7 + 2\/1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7}. What is prob of sequence aa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 432 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -5*z**4\/4 - 4235*z**3 - 10761135*z**2\/2 - 3038227115*z + 1680. Factor o(f).\nAnswer: -5*(f + 847)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 10:40 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106026?\nAnswer: 2, 3, 41, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1402, -6112, -13898, -24760, -38698, -55712, -75802?\n\"Answer: -1538*x**2 - 96*x + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 438, 645, 852, 1059?\nAnswer: 1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 4*g + 12, -4*g - g - c = -6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 195.6 - 199.6. Which is the third smallest value? (a) n (b) 3 (c) 1\/2 (d) 2 (e) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(12) + sqrt(192) + sqrt(12)) - sqrt(11) - -4*sqrt(44)\/sqrt(4) - (0 + sqrt(176) + 0)) + ((sqrt(176) + 1 + -3 - sqrt(176)) + 1)**2 + 4.\nAnswer: -5*sqrt(11)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4134.54 in -1\/9, 4\/5, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18480 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16211 + -9826. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1832868 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q - 65. Calculate the remainder when 89 is divided by x(20).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 68023118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1\/3265, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1231, 1232, 1233, 1234?\n\"Answer: w + 1230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = t - 79, 0 = 17*t + 2*d - 266 - 167. What is the smallest common multiple of t and (-1221)\/(-27) - 4\/18?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55711407067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p - 12. Let b be 132\/18*(1 - -2). Let h = -27 + b. Let m be q(h). Is 0.03 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/7 + 1172*v**2\/7 + 171698*v\/7 = 0.\nAnswer: -293, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/3*x**2 + 0 + 2*x - x**3.\nAnswer: -x*(x - 3)*(3*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(5) - sqrt(875)\/sqrt(7))**2.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 53259 = -3*j, 4*x - 35550 = -53*j + 51*j. What is the highest common factor of 31 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -56*g - 15. Let s be z(-2). Calculate the greatest common factor of s and 1261.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39, 10, 91, 204, 349?\n\"Answer: 16*w**2 + w - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 11:17 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*(i**(1\/2)\/i)\/i*i)**(1\/14)*((i*((i\/(i*(i*i*(i*i**(-1\/4))\/i)\/i)*i*i)\/i)\/i)\/i)**(14\/3))**(-22) assuming i is positive.\nAnswer: i**(1023\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -65174.403.\nAnswer: 65173.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -1919*t**2. Let c(f) = -257*f**2. Calculate c(u(k)).\nAnswer: -946418177*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 2*o - 3. Let p be d(0). Let t be 14\/p*234\/(-91). Solve -t = 3*c + c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7379 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 56*p - 49. Suppose -31 = -3*l + n, 23 = 7*l - 4*l + n. Suppose -112 = -l*y + 329. Let g(q) = -7*q + 6. Give y*g(f) + 6*v(f).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*i + 3. Let a be i\/((-24)\/2586) + 9\/6. What is the highest common divisor of 31 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 4*t**2 - 5*t + 3. Let k(l) = l**3 - 2*l**2 - 4*l + 2. Let p(a) = 2*f(a) - 3*k(a). Let i = 2 + 1. Suppose -i = 2*j - 7. Give p(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 2. Suppose 0 = u - c + 2 - s, -u - 4*c + 6 = 0. Suppose 4*q - 5 = 5*p - 0, 4*q - u*p - 14 = 0. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124241625 by -125.\nAnswer: 993933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/(-5) + -1)\/((-14)\/(-140)). Suppose 5*x - 34 - 11 = -4*n, 5*n - 63 = -r*x. What is the remainder when 74 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 2*r - 9, -24*a + 27*a - 12 = -r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 60502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 73262462 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: Suppose -47 = -9*d + 61. Suppose -10*z + d*z = 36. Suppose -3*r = -5*r + 64. What is the remainder when r is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15760 and 34672.\nAnswer: 173360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97*h**4 + 9*h**3 + 227*h**2 + 5*h + 2.\nAnswer: -2328*h + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(1\/3))**(2\/57)*(f**(2\/13))**23 assuming f is positive.\nAnswer: f**(8048\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/790020 and -61\/130.\nAnswer: 10270260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3305 + -3299. Solve 30 = 18*k - s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.357046 millilitres in litres?\nAnswer: 0.000357046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/163? (a) 0.03 (b) -1 (c) 8 (d) -3 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaz when three letters picked without replacement from {j: 1, a: 11, z: 5}.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 + 49 = 0. Let i = v + 34. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 2227*r - 2222*r - 121, 87 = -3*j + 5*r for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32847 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/((s\/(s**(-3)*s*s))\/s)))**(11\/8)*(s*s**(-4)*s)**16)**(4\/13) assuming s is positive.\nAnswer: s**(-128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10 - (2\/(-6) - (-5)\/(-3)). Let o be 4 + r + 3 - -849. Calculate the highest common divisor of o and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6634 + -6594. What is the remainder when 1151 is divided by l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 14 - 46*k + 44*k)*(0*k**2 + 0*k**2 + k**2 + (-1 - 2 + 2)*(1304 - 1304 - 92*k**2)) in the form n + v*k**3 + o*k**2 + s*k and give v.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -0.8. Let p = -4276 + 4276.5. Sort p, 2\/11, y in descending order.\nAnswer: p, y, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)\/(p\/((p**(-8\/3)\/p)\/p)) assuming p is positive.\nAnswer: p**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.066 + -4.066. Let s = -3 - -4. What is the closest to s in i, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = -3*f - 6*f + 24*k, -f + 0*f = 227*k - 230*k + 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.62\nAnswer: 1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 96 = -0*s. Let b(n) = 62*n**2 + 9*n + 7. What is the remainder when b(-1) is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/13)\/j*j*j\/(j**25\/j)*j)\/((j*(j*j\/(j\/((j*j*j*j\/(j**(-1\/5)\/j))\/j)*j)*j)\/j*j)\/j*(j*(j**(-25)\/j)\/j*j)\/j) assuming j is positive.\nAnswer: j**(-58\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1759 + -0.5\nAnswer: -1759.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5172 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 9. What is the greatest common factor of 6 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163.802 + 164. Let l = -0.119 + y. Let x = l - 0.939. Round x to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 - b + 6. Let h(z) be the third derivative of -z**5\/12 + z**4\/24 - 7*z**3\/6 + 3*z**2. Calculate -5*h(f) - 6*k(f).\nAnswer: f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d - 18 = 0. Let l be (-4)\/(-18) - (-4)\/d. Is -1\/4 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 5*y - 2. Let u be g(4). Let j be 2 + 0 + u\/(-1). Suppose -5*f - 15 = j, -21 + 3 = -5*i + f. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -483145*p**3 - 556183.\nAnswer: -1449435*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1981 - -1980.6. What is the third biggest value in h, 1.1, -4\/17?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2 - 3 + 2*o - 2*o**2 - 7*o. Let m(h) = 2*h + 17 - 15 + 4*h**2 - 3*h**2. Suppose 5 - 7 = a. Calculate a*v(s) - 5*m(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4311\/(-27)*(-1 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - 7\/6. Let k = -0.7 - 0.1. Let j = k - 2.2. Sort 2, j, t.\nAnswer: j, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/6239, -0.14, 2 in decreasing order.\nAnswer: 2, 2\/6239, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/3 - 2\/(-3). Let j = k + -5. Solve 4 + 4 = -j*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-172827)\/(-45) + 10\/25 + 0.\nAnswer: 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/2 + 129*c\/2 + 3441.\nAnswer: -3*(c - 74)*(c + 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r - 18. Let s be v(5). Let i be s\/((12\/(-9))\/(-2)). Let n be 8\/(-120)*-10 - (-154)\/i. Round n to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 15*s**2 - 3*s - 6. Let f be v(6). Suppose p + i = 5*i, 0 = 3*p - 3*i - 9. Suppose 512 = p*o - f. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33190352341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.1749 and -16.\nAnswer: -50.7984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -22 - -11) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1411?\nAnswer: 4\/1411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14133*d + 603771.\nAnswer: -14133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/2)\/((-147)\/(-252)*(-2)\/14*-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 112.9 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11969 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l - 2. Let n be w(-2). Suppose -2*v - 2*v + 16 = h, -4*h + 4*v + 124 = n. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 15 = 0, a - 63 = -2*x + 10. Suppose -x*j = -36*j + 2. Sort j, -4, 3 in increasing order.\nAnswer: -4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526682 (base 9) in base 12?\nAnswer: 131385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -5*q**2 + 12*q + 384. Let j(i) = 2*i + 5. Let g be j(-5). Let x(z) = 7*z - 8. Give g*f(s) - 7*x(s).\nAnswer: s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 235*q**2 + 2639*q + 8250. Calculate y(223).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**3 - 568*i**2 + 20164*i = 0.\nAnswer: 0, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 3, 4.\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.3 and -0.21.\nAnswer: 0.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*y**3 + 143*y**3 + 117*y**3.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/5*160\/(-24). Let w(k) = -8*k - 23. Let i be w(-5). Let q = c + i. What is the remainder when 15 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466458399.\nAnswer: 3, 11, 61, 25747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + -18.4. Let k = z - -24. Is k greater than or equal to 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/4 + 2985497*x**2\/4 + 557074894250*x + 557074147876.\nAnswer: (x + 1)*(x + 1492748)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142697, -285377, -428037, -570677?\nAnswer: -713297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v + 2 - 3*v - 2. Let u(o) = 9*o. Suppose 6 = 14*x - 22. Calculate x*u(z) + 21*j(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**4\/6 + c**2. Let d(z) = -286*z + 77. Let u(h) = 11*h - 3. Let l(w) = 3*d(w) + 77*u(w). Determine l(y(t)).\nAnswer: 44*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-3) + -2)\/((-241)\/1446).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137 + 145. Let x(z) = 11*z + 9 - a + 0 - 11. Let h(m) = -6*m + 5. What is -7*h(n) - 4*x(n)?\nAnswer: -2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.744 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 88*k + 10231. What is the ten thousands digit of j(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 0.2, 100467?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1233 and 531?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 6)*(5374*f + 3935*f - 2290*f) in the form m*f + x and give m.\nAnswer: 7019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s + 15. Suppose -4*w + 6*w = -3*y - 4, -4*w = s*y + 2. Calculate the lowest common multiple of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 + x. Let d = 2 - 0. Let l be v(d). What is the remainder when 4\/l - 259\/(-35) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -407.39552836273 + -0.19426199727. Let m = t - -406.68979. Let w = -0.9 - m. What is w rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3263 - 3265. Let b = -1 - -0.6. What is the nearest to i in -1, b, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/1071147 and -55\/876393?\nAnswer: 9640323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 311, 329, 371, 437?\n\"Answer: 12*h**2 - 18*h + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -53*f**3 + f**2 + 1. Let g be w(-1). Suppose 7*j + 4*j = g. Solve j*l + 0*m = 2*m + 14, 2*l + 3*m = 17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = -4*b, -4 = -2*k - 4*b + 3*b. Suppose 3*f + k*f = -5*l, 0 = 2*f + 5*l + 3. Solve -2*g - f = 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1845239688\/8987825 + -6\/390775. Let f = 33865\/46 + w. Let g = f + -915. What is the common denominator of g and -23\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 1243 - 2432 + 1189 + 6*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/7)*c**5*(c\/((c**(-1\/4)\/c)\/c*c*c)*c)\/c**1)\/((c\/(c*c**(-1\/2)))**4*c\/c**(-5)*c\/(c\/c**(-1)*c)*c) assuming c is positive.\nAnswer: c**(11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*g + 3*g - 2 = 0, -10 = -5*g. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.81227853 and 37201.\nAnswer: 37200.18772147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1120 divided by -10299.\nAnswer: -1120\/10299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3803376 decades in months?\nAnswer: 45.640512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/28)*i*i)**29 assuming i is positive.\nAnswer: i**(1537\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 h, and 2 r when four letters picked without replacement from rdghvvreh?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 5*y**2 - 3*y + 2. Let l be a(6). Let c be 2\/((-123)\/164 + (0 - -1)). Suppose -24*x = -l*x - c. Solve 0*j - x*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n + 2. What is the remainder when 70 is divided by z(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.233606846 rounded to 3 dps?\nAnswer: 2.234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -2. Let u be 6\/(-4) - 42\/(-12). Is u > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262369177 divided by 262369177.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 + 13)\/(-8) - (1 - -9) - -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4763*q**2 + 4753*q**2 + 0.\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -456312 divided by -6?\nAnswer: 76052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7372055 + -258040123\/35. Let h = 520 + c. Let u(k) = -k**2 - 9*k - 1. Let d be u(-9). Which is smaller: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.466 - -0.203. Let o = y - -0.262893. Round o to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -10. Let z = f - 1. Calculate the remainder when 37 is divided by -2 - (-1)\/(z\/(-24)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 389651583 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 37. Let s = 0.4 + -1.4. Which is the nearest to s? (a) -0.1 (b) -1\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6306 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: Express 7 + 5 + 3*m**3 - 4*m**3 - 75 as c*m + g + n*m**3 + j*m**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3688 - 41.3688. Which is the fourth biggest value? (a) 0.2 (b) -0.1 (c) p (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d + 40. Let r(t) = 278*t - 93*t - 94*t - 90*t. What is c(r(j))?\nAnswer: 2*j + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -17800000 to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2231 (base 7) to base 15.\nAnswer: -38b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.01, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 10076?\nAnswer: -20152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 569 - 558. Sort p, 5, -5, 4.\nAnswer: -5, 4, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2139 + 6280\/3. Let q = -46 - d. Suppose 7 = -u + 6. Do q and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 476*k - 23158. Calculate i(56).\nAnswer: 3498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10123021331 - 113?\nAnswer: -10123022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or -5.5?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeaaqerqeereree. Give prob of picking 2 a and 1 e.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 91\/2 of a microsecond?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 32. Let f be i(-13). Let y = f + 4. Let k = y + 19. Calculate the least common multiple of 22 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -109 + -34?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3751.569 litres in millilitres?\nAnswer: 3751569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6653, -6664, -6681, -6704, -6733, -6768, -6809?\n\"Answer: -3*x**2 - 2*x - 6648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1651297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1640.7203 and 0.5.\nAnswer: -1640.2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**4\/12 - 41*b**3\/15 + 3*b - 22. Factor c(y).\nAnswer: y*(5*y - 82)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipiigiipipipppgipgi. Give prob of sequence ig.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 6*f**2 + 8*f - 26. Is y(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*((-27)\/(-4))\/(-9). Solve u = -5*g - 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -3 - 1) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.26, 3, 0, 5\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2909, 0.015, -1\/11, -0.4, 2, 0.4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*o**2 - 9*o**2 + 53*o**2)*(-30*o - 3*o + 5*o)*(-4 + 0 + 6).\nAnswer: -3808*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 3, g: 3, v: 1, x: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*(sqrt(3072) + sqrt(48) + sqrt(48)))\/(-6*(4*2*sqrt(4) + sqrt(4) + sqrt(324)*-2 + sqrt(4))).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1081*q + 2191. What is the remainder when 2388 is divided by y(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.6. Let i = -5.4 + 2.5. Let w = -2.9 - i. Which is the third biggest value? (a) 4\/11 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-10)*(-7 - 3). Solve 3 + u = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {g: 5, o: 2, p: 13}?\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 219\/293455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 769207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215095317?\nAnswer: 3, 71698439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*d - 279*d - 26 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2280*v + 222 - 440 + 218.\nAnswer: -2280*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-485)\/(-25) - 6\/15. Let a = w + -14. Let h be 1 + (-1 - a)*-1. Solve -v - 20 = -5*v, 2*v - h = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 12.93. Let i = 0.06 + l. Let u = i + 0.0105. What is u rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 8*v + 11. Calculate the remainder when b(8) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -25. Let x be p\/11 - (-36255)\/297. Let j = x - 122. What is the third smallest value in 0, -3, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -187 - -4?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-5))\/(((-6)\/5)\/3). Let a be -3 + (6 - q) + 21. Let y be 4\/a*10\/2. Sort y, -1, 3 in descending order.\nAnswer: 3, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4667298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 84791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 6*g - 2*g + 1 + 2*g - 1 + g - g + 2*g - 2*g - 3*g + 3*g + (3 - 6 + 1)*(-5*g + 4*g - g))*(0*g**4 - 3*g**4 + g**4).\nAnswer: -10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 126290*t**2 + 11*t**3 - 2*t**4 - 126291*t**2 + t - 5*t**3 as a*t**2 + z*t**3 + c + l*t + y*t**4 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18665021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20*p - 6*p - 94*p)*(2*p - 4*p + p)*(2*p - 1 + 1) to t*p**2 + q*p**3 + w + c*p and give q.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-2)*35*(-145)\/81200.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 + b - 2. Let g be y(2). Let q = 15 - g. Suppose 5*h + 5*i = 55, 2 = q*h - 2*i - 16. What is the greatest common factor of 72 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 17*s**2 - 187*s - 6. Suppose 0 = -22*n + 19 - 41. Let v(d) = 2*d**2 + d + 2. Let x(z) = n*q(z) - 3*v(z). Find the second derivative of x(a) wrt a.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644157 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 191675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 0 - 1\/60*b**5 - 1\/3*b**3 - 3*b**2 + 0*b - 7\/24*b**4. Let p(t) = t**3 + 2*t**2 - 2*t - 2. Let v be p(-3). Calculate d(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30660 rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.1. Suppose -10*h + 6 = -7*h. Let p = 0.03 - 5.03. What is the second biggest value in h, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80618815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -89346519 to the nearest 10000.\nAnswer: -89350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 7*k**6\/2 + k**4\/4 - 371*k**3\/3 + 517. What is the third derivative of g(p) wrt p?\nAnswer: 1260*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4\/10 + 121*i**3\/10 - 1429*i**2\/10 - 28005*i\/2 - 86625 = 0.\nAnswer: -22, -7, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 7*z + 70. Let a(y) = y**2 + 4*y - 7. Let t be a(z). Suppose 10 + t = 5*p. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 6, 0.\nAnswer: -46, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7200 divided by -24?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w + 8. Let x be o(21). Let s be ((-6)\/18)\/((-1)\/15). Calculate the greatest common factor of x and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2712999, 10852011, 24417029, 43408053, 67825083?\nAnswer: 97668119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*-4*4\/(-32). Let f be m + -4 + 50\/5. Solve 4*c - 4*r = 51 - 15, -2*c - 4*r = f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15 and -5103514.\nAnswer: -5103529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 9. Suppose l*u + 29 = -0*u + 5*s, -3*s + 9 = -u. Let y(q) be the third derivative of -q**4\/24 + q**2. Let m(h) = -2*h. Calculate u*y(g) + 2*m(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005117000524 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1, 0.01, 0, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-168)\/(-20))\/((-3)\/(-15))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5958 divided by 910.\nAnswer: -2979\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -13*m - 5. Give f(6).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b*b*b**(-16)*b)\/((b**(1\/5)*b)\/b*(b*b\/(b**9*b))\/b) assuming b is positive.\nAnswer: b**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 5. Let o = -5 + u. Let w be -38*o*(-18)\/8. What is the highest common divisor of 19 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q + 4 - 5 + 1. Calculate the remainder when a(2) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14400)\/(-200))\/((-217)\/(-14) - 5)?\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*s - 9, -3*s = -s + 2*c - 4. Solve 6\/11*k**s + 6\/11*k**4 + 0 + 0*k + 2\/11*k**2 + 2\/11*k**5 = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-5\/3)*d*d)\/(d*d*d**(-2\/3)*d*d)*((d**(-8\/7)\/d)\/d)**(-2) assuming d is positive.\nAnswer: d**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -6*t**2 + t + 6. Give n(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1209*p - 8600. Let b be d(9). Solve 8*h + b - 2321 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82424639?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 114 = a, 0 = 3*p - 5*a + 3*a + 83. Let r = 126 + p. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((260780\/10974)\/(-221))\/(2\/6)?\nAnswer: -10\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**11*p*p**(-7))\/((p\/p**(-2\/17))\/p**11) assuming p is positive.\nAnswer: p**(253\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfv when three letters picked without replacement from wpnfvw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 60 + 3?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201, 198, 207, 222, 237, 246, 243?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 814 = -2*f, -238 = 4*f + 5*m - 1851. Suppose f = 2*n - 25. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 412744, 1650936, 3714584, 6603682, 10318224, 14858204, 20223616, 26414454?\n\"Answer: -g**3 + 412734*g**2 - 3*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.07, -3366, -1\/4, 0.6, 20, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c + 7. Calculate the remainder when 60 is divided by b(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/165 (b) -34\/11 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002110 - -12?\nAnswer: 2002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, 5, -2\/7, -12\/25?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**33*r**(-32)*r*r*(r**(-1\/2))**(-1\/7))**(19\/5) assuming r is positive.\nAnswer: r**(817\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34\/45 + -8\/15. What is the third smallest value in n, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/32 - 3\/(-12). Calculate the highest common divisor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1104630 + -10?\nAnswer: -1104640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.05069 or 3599?\nAnswer: 3599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8636 is divided by 129.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}