diff --git "a/data/dm_maths/full_data_2/100_11255.jsonl" "b/data/dm_maths/full_data_2/100_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/100_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 8*o - 115 = -3*z + 6*o, -1828 + 1298 = -10*o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104226159.\nAnswer: 3, 1693, 20521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -314*q + 2541. What is l(7)?\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 986*d = 984*d - 4, 4*d + 50 = -5*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 11*k + 33. Let s be u(-6). Solve -s = 5*o - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -869.11 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k - 294 = 127*k - 2294. What is the greatest common divisor of 590 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 157*n**2 + 163*n**2 - 328*n**2. Determine w(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/34 and -83\/204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -104 from 331.67.\nAnswer: 435.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -276*l**2 + 3*l.\nAnswer: -3*l*(92*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z**2. Suppose 0 = 5*n + 2*w + 630, -2*w - 3*w + 25 = 0. Let d = -118 - n. Let r(i) = -19*i**2 + 12*i**2 + d*i**2. Give c(r(x)).\nAnswer: 72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 150.\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -100*c*d**2*i + 34*c*d**2 - c - 5*d**2*i - 70575*i - 2 wrt d.\nAnswer: -200*c*d*i + 68*c*d - 10*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 2*z + 0*z)*(127*z + 341*z - 51*z).\nAnswer: -834*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -16*b + 4*b. Suppose -4*w - 7 = -3*v, -2 = -2*v + 3*w + 2. Sort 3, v, b in decreasing order.\nAnswer: v, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(8))**2 - sqrt(22)\/sqrt(176).\nAnswer: -33*sqrt(2)\/4 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 378860 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 34 = -30 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 4. Let b(t) = t**2 - 59*t + 847. Let v be b(24). Let k = 99 + -61. Suppose v*j - 10 = -k. Determine n(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226818225 by 748575.\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/(-44) - 51\/4. Let h(l) = -2*l - 26. Let j be h(v). Let d(b) = -b**3 + b**2 + b + 2. Let z be d(j). Solve -c + 1 - z = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -4 (c) 4 (d) -91 (e) -3\/58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 32\/5, 4 in increasing order.\nAnswer: 4, 5, 32\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - -13. Solve 4 - t = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s - 7 = -54*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**3 + 4*v**2 - 4*v + 4. Let f = -5 - -1. Let r(i) = -4*i**3 - 5*i**2 + 5*i - 5. Give f*r(q) - 5*s(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19, 38, 83, 166, 299, 494, 763, 1118?\n\"Answer: 2*r**3 + r**2 + 2*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6172304 divided by 31816.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r**3 - 2*r + 1. Suppose -y = 4 - 5. Let s be z(y). Solve s - 3 = -4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2081.32 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123226.17 months to centuries.\nAnswer: 102.688475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -92*m**2. Let a(q) = -10*q. Determine a(g(f)).\nAnswer: 920*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u - 66 = -28*u. Solve -34*c + u*c = 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22355 - -22503. What is the highest common factor of w and 216?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3411049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4326530 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 116867203049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 51 = -7*g + 6, -4*g - 52 = -5*l. Which is the fourth smallest value? (a) -2 (b) -12 (c) 1\/7 (d) 1\/2 (e) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-15)\/((((x*((x\/x**(-2\/3))\/x)\/x)\/x)\/x)\/x**0)*(x\/x**(1\/4))**(-2\/5)\/(x**(1\/3))**(9\/8) assuming x is positive.\nAnswer: x**(1879\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -p - 2*p + 16, 4*t = 4*p - 32 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = f + 3*f + 776, 2*n + 4*f - 376 = 0. Suppose -4*r + n = -44. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 + 2*g**2 + 562*g - 3148. Give d(13).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 l when three letters picked without replacement from {h: 6, w: 4, n: 6, l: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.809 + -5.709. Which is the third smallest value? (a) u (b) -1\/3 (c) -32 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 95?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4\/13 + 86*n**3\/13 + 966*n**2\/13 + 882*n\/13 = 0. Calculate n.\nAnswer: -21, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9199.996 and 0.3?\nAnswer: -2759.9988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/4*(-16)\/4. Suppose -j*f - 5*g = -520, -g - 370 = -4*f + 31. Let n = f - 8. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 446920 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 2*i**2 + 1\/8*i**4 - 1\/60*i**5 + 0 + 2\/3*i**3 + 0*i. What is l(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + i**2 - i + 1. Let o be k(1). Let r(p) = -p**o - 2 + 5 + 2*p + 3*p + 3*p. Calculate the remainder when 44 is divided by r(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 797568 and 44464416?\nAnswer: 177857664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18016*y - 50172*y - 37831*y + 2*y**3.\nAnswer: 2*y**3 - 69987*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 318434116?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1056701034?\nAnswer: 2, 3, 58705613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 147, 300, 441, 564, 663?\n\"Answer: -d**3 + 160*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*13092.1.\nAnswer: 523.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 335?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = -4*w + 2, a + 3*w - 3 = 0. Suppose -a*l = 9, 2*l = -2*u - 2*l + 8. What is the smallest common multiple of 1 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-2) - (-1 - 8). Let v be 49 - z\/(-3 + 0). Calculate the greatest common factor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -58, -98, 43, 6 in decreasing order.\nAnswer: 43, 6, 5, 3, -58, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-6\/5))\/(s**4\/s*s))**(-5\/4)*((s\/((s*((s*s**(-1\/5)*s)\/s)\/s)\/s))**(-1\/25))**21 assuming s is positive.\nAnswer: s**(374\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336\/(-36) - -3 - (-2 - 3).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25702 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0*g + 0*g**3 - 1\/60*g**4 + 1\/75*g**5 + 0*g**6 + 2*g**2 + 1\/840*g**8 + 0 - 2\/525*g**7. Factor c(i).\nAnswer: 2*i*(i - 1)**3*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l. Let v(o) = -5*o - 19066*o**2 + 9*o - 4*o + 18831*o**2. Give v(h(i)).\nAnswer: -2115*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 43326355 to the power of 1\/3, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 31*q**2 - 36*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - s**2 + 6*s**2)*(-2 + 1 + 0)*(-2*s + s + 0*s)*(-4*s + 16*s + 2*s**2 - s**2).\nAnswer: 4*s**5 + 48*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*(2*2*sqrt(98) + -1 + -3).\nAnswer: -23 + 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10121 (base 3) to base 6.\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/4 + 507*h\/2 + 3033\/4 = 0. Calculate h.\nAnswer: -1011, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -1013*w - 4. Let s(y) = -1003*y - 5. Determine -3*d(t) + 2*s(t).\nAnswer: 1033*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 93\nAnswer: 10\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(10\/3)\/a**31*a**8*a\/a**(1\/3)*a)**39 assuming a is positive.\nAnswer: a**(-702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 20, -25*q + 22*q + 2*a = 22 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*k**2 + 33*k**2 - k**2)*(4*k - 2*k**3 - 4*k) + (4*k - k + k + (4 - 4 - k)*(1 - 3 + 3))*(-4*k + k + 3*k**4 + 2*k).\nAnswer: -113*k**5 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 2. Let b(x) = x + 2. Let k = -8 + 17. Let o = -2 + k. Calculate o*b(l) + 6*z(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 9:03 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18.5049 or 2\/13?\nAnswer: -18.5049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 11 = -3. Suppose -3*q + 18 = n*i, -q = -4*i - 0*q + 50. Suppose 4*l - j - 1 = i, -3*j = -l + 17. Solve z + 15 = -5*x + l*z, 2*x - z + 9 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158.9652 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c + 902*c**2 + c - 280*c**2 - 113*c**2 + 268*c**3 wrt c.\nAnswer: 1608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297555 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffgftfggggfg. What is prob of sequence fgf?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**6\/120 + l**5\/10 + 5*l**4\/24 + 4*l**2. Let z be o(-5). Suppose -2*p + z*p - 1 = i, 2*p + 3*i = 9. Sort p, -1, 4.\nAnswer: p, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/6)*b)\/(b**(-1)*b))\/(b**(-1\/4)*b**(-1\/4))*b**3*b\/b**(3\/4)*(b\/(b\/b**(2\/11)))\/(b**5\/b) assuming b is positive.\nAnswer: b**(101\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 - 129. Let m(c) = c**2 + 33. Let t(z) = -4*f(z) - 18*m(z). Let u(a) be the first derivative of t(a). Let y(l) = -l. Determine u(y(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = 5*a. Let v = a + -1. Suppose v = k - 8. Solve k*y - 3*y = -5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + r + 1 + 3*r - r**2 - 6*r as x*r**2 + n + k*r and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*x - 501 = 297. Solve 0 = 14*u - x*u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 78*r - 23*r - 25*r - 33*r + 8. Let g(x) = 15*x - 3. Let f(m) = -2*m - 1. Let s(c) = -6*f(c) - g(c). Give -6*q(o) + 5*s(o).\nAnswer: 3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-20))\/((44\/(-16))\/(-11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + a - 4. Let o = -2 + a. Calculate the remainder when (-7)\/(21\/(-18)) - o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2773*j**3*n**2 + j**2*n**2 - 3*j*n**2 - 196 wrt j?\nAnswer: -16638*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2. Let d(c) = 9*c**2 + 3*c. Let n(z) = -d(z) + 6*p(z). Suppose n(s) = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**3 - 4*x**2 + 14*x - 4. Suppose 56 = 2395*z - 2387*z. Let k(l) = -5*l**3 + 7*l**2 - 27*l + 7. Give z*h(g) + 4*k(g).\nAnswer: g**3 - 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4273 is divided by 2679?\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*l + 10416 = -31*l + 97*l + 7*l for l.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101560 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -5, -2, 10131, 0.009, 1\/5?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 82, -4, -1, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1560*u + 3*g - 21 = -1557*u, -6 = -2*u - 2*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 2. Let t be p(7). Suppose -4*v - 5 = -o, -3*v - t = -2*o + o. Suppose v = -a + 11 + 1. What is the remainder when a is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 7*u**2 - 2*u + 1. Suppose -2 = -4*s + 22. Let l = -1 + 10. Calculate the remainder when r(s) is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 - 30*y**2 - 13 - 30*y**2 + 4*y + 70*y**2. Is l(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, 36, 4033, -2\/3, 0, 0.3 in increasing order.\nAnswer: -1.4, -2\/3, 0, 0.3, 36, 4033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*u - 32*u - 2748 = 730. Which is bigger: u or -74?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -26. Suppose -16*f - 16 = -12*f. Which is the third smallest value? (a) 0.2 (b) f (c) -7 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7165, -6796, -6413, -6016, -5605?\nAnswer: -5180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -2 + -13 + (-7 - -17)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from {e: 4, v: 2, s: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - (-54 + 44 + 18).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 18*x - 58. Let g be k(9). Let b = g - -124. Is 33 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s - 221 + 61 = 0 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-one quarters of a meter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.5, -3, 30.7, 47\/5.\nAnswer: -6, -3, 0.5, 47\/5, 30.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 + -16.22.\nAnswer: -15.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 - -425545?\nAnswer: 425520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*g**2*o**3*y + 10*g**2*o**2*y - 47*g*y - 2*o**3*y + o**2*y - 2*o wrt g?\nAnswer: 20*o**3*y + 20*o**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/4 + 147*q**2\/4 - 37*q = 0. Calculate q.\nAnswer: -148, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(14)*-2 - (sqrt(112)\/sqrt(2) + sqrt(56))\/sqrt(4))\/(sqrt(3388)*1 + sqrt(1792)*1) + 5)**2.\nAnswer: 30*sqrt(2)\/19 + 9043\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 718\/4308 + (0 - (-49)\/(-6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 19. Let p be c(-14). Is 2 a factor of 1 + 0 + p\/(25\/60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-1 - -2))\/((23\/((-8004)\/(-48)))\/(-1)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-10))\/(9\/(-18)). Let s = -19.9 - -51.9. What is the closest to s in -1\/3, -4, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 9*x**2 - 6*x - 1. Let m = -6 + 13. Let q be n(m). Suppose 9*c = 4*c + q. Calculate the highest common factor of c and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r - 2*r**2 + r**3 - r**5 + 219*r**4 - 219*r**4. Suppose 0*d - 2*d - 6 = 0. Let q(c) = 3*c**2 - 3*c. Let w(t) = d*h(t) - 2*q(t). Factor w(s).\nAnswer: 3*s**3*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 d when three letters picked without replacement from ldlrrddrrrrlddrld.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1849 * 0.3.\nAnswer: -554.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(26))\/(sqrt(22)\/sqrt(275)).\nAnswer: 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120 + -1022100221?\nAnswer: -1022020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*(k\/k**17)\/k*k**2)\/(k\/k**24*k**27) assuming k is positive.\nAnswer: k**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*q + 106 = 0, -3*s + 3*q - 84 = -0*s. Let l = s - -39. What is the remainder when 22 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -12*n**2 + 2792*n + 10295. Calculate p(236).\nAnswer: 855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 30*j**3 + j**2 - 5*j + 3 - j**2 + 2*j. Let r be m(1). Let o be (192\/(-120))\/(4\/r). Which is bigger: -13 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4708 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2, 0.2 in descending order.\nAnswer: 14, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-11)\/((n**(-6\/11)*n*n)\/n*n))**(1\/33))**(33\/2) assuming n is positive.\nAnswer: n**(-137\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-90)*(-69 + 42).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144752 = 67*k - 857833. What is the thousands digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 3*r + 82. Solve -2 = j + r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 5, 0.5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.13, 2\/5, -3, -0.1 in decreasing order.\nAnswer: 2\/5, -0.1, -3, -3.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1800731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1\/12, -3\/4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 50.746 and -0.31?\nAnswer: -15.73126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 29645 - 29579 = 0. What are the prime factors of j?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + b = 9, 2*b = -d - b + 2. Let q(l) = l**3 - l**2 - 5*l. Let v(n) = -4997*n**3 + 4995*n**3 - 8 + 9*n + 8 + n**2. Give d*q(x) + 3*v(x).\nAnswer: -x**3 - 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 16) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/19)*((f**(2\/7)*f)\/f)\/f)\/((f**(-3\/2)\/f)\/(f\/(f**(2\/5)\/f))))\/((f*f**(-2)\/f*f)\/(f*f*(f*f**(-5))\/f)*f**(-40)) assuming f is positive.\nAnswer: f**(54903\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83971964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -87, -11, -37630, 2 in descending order.\nAnswer: 3, 2, -11, -87, -37630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/3 (b) -2\/7 (c) -3\/14 (d) -0.3 (e) -1.9 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 18*b**2 + 232*b - 25. Calculate k(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 5. Let b be (9\/4*(1110\/54 + -20))\/(15\/48). Solve 8*q - s = b*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*z = 528 + 424. Sort 2, -18, z in ascending order.\nAnswer: -18, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -790 (base 15) to base 5\nAnswer: -23320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -511a6 (base 14) in base 12?\nAnswer: -94b3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596 less than 2060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:34 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26376, 105349, 236954, 421197, 658084, 947621, 1289814?\n\"Answer: q**3 + 26310*q**2 + 36*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-6) + (-5)\/(-15). Let o be p\/((-3)\/(-8)) - -1. Let l(j) = -j**2 + 8*j + 11. Let n be l(o). Solve -6*f - 20 = -n*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1*a)**(2\/23)*a**(-4\/3)\/a*a*a*a**(-3\/10)*a)**(-13\/5) assuming a is positive.\nAnswer: a**(-4849\/3450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*a = -68, 5*a = 3*w + w - 69. Solve 6*n - 2*n = w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.64 + 0.5. Let x = y + 0.04. Let d = -5513.5 - -5513. Which is the nearest to 1? (a) -2\/7 (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d + 39. Let c be h(8). Let w(j) = 5*j**2 + 6*j + 1. Suppose 3*f = -2*f - 30. Let a(g) = -g**2 - g. Determine c*w(s) + f*a(s).\nAnswer: s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, l: 12}. What is prob of picking 2 l and 2 v?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1373029170860*k**2 - 3*k + 3*k - 1373029170864*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1613619 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -78*c**4 + 404*c**2 + 15*c**5 + 350*c**3 - 542*c - 5*c**5 + 400 - 6*c**5 - 653*c + 115*c = 0.\nAnswer: -2, 1\/2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(4*h**3 + 5*h**3 - 4*h**3) - 1 + 31*h**3 + h**2 + 96*h**3 - 5*h**3.\nAnswer: 132*h**3 + h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2372014528 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 - 65. Solve -q*z - 7 + 1 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -6*w - 6, 0 = 5643*w - 5648*w + 5*u + 70 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-3)\/(-6)*-2. Suppose -4*f = 3*n - i*f - 3, 15 = -3*n + 4*f. Let m be n\/(-2) - 6\/36. Which is the nearest to m? (a) 1\/5 (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q + q - 20*q)*(-2*q + 0*q + 0*q).\nAnswer: 26*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.32, 4, -0.09092.\nAnswer: -0.09092, 4, 8.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -5. Suppose 0 = c + u*c. Suppose 2*s - 4*d = c, 0 = s - 2*s + 4*d. Solve 2*g + g + 6 = s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5148)\/165 - (11 + -20) - 8\/10?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56900, 113438, 169976, 226514, 283052?\nAnswer: 339590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-10)\/(-18)*(14 - 11). Let u(l) be the third derivative of 0 + 0*l + 11\/30*l**a - 8*l**2 + 0*l**3 + 0*l**4. Let x(m) = m**2. Calculate u(x(n)).\nAnswer: 22*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -280535, -561079, -841623, -1122167?\n\"Answer: -280544*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*k + 812 - 802. Solve -j + 10 = -k*w + 3, -10 = 5*j - w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -433560, -867117, -1300674, -1734231, -2167788?\nAnswer: -2601345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5405 - 3097 = 508*g - 463 + 1613 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1747.\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 9*o - 149 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 176031, -5, 1, -7, 2, -9, -1 in increasing order.\nAnswer: -9, -7, -5, -1, 1, 2, 176031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7900785.\nAnswer: 3, 5, 175573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*o + 9*o + 22*o + 8 in the form u*o + b and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 9*q = -4*q. Let v be (-9 - -13)\/(q + -385). Is v != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47522 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 209.78 to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -50*h**2 + 3*h + 3. Let y be t(-1). Let z = y - -55. Sort 2\/51, -2, z in descending order.\nAnswer: z, 2\/51, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 506*i - 920*i + 28925 = 743*i for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/f**(-1\/8))**(2\/43))**24 assuming f is positive.\nAnswer: f**(150\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*q - 140 = 52*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.02 - 0.02. Let y = i + -36.19. Let m = y - -0.05. What is m rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9622 + 9864. What is the greatest common factor of 46 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14325 divided by -191.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -280, -284, -286, -286, -284, -280?\n\"Answer: a**2 - 7*a - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258503.7 kilograms to tonnes.\nAnswer: 258.5037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 5*w**2 + 5. Suppose -37 + 12 = 5*u. Let v be x(u). Solve -b + v*b = -20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-156534.\nAnswer: 31306.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*g)*(-3 + 2 + 10)*(95*g - 95*g + 7*g**2 + 5).\nAnswer: -126*g**3 - 90*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6105682.694501 - 76005.305771. Let i = w - -6181790. Let s = i + -102. What is s rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 598961\/8 + -74867. Determine w so that 1\/8*w**2 - 3*w - y = 0.\nAnswer: -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 12:08 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cspsszcssci. Give prob of picking 1 i, 1 c, and 2 s.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhsans. What is prob of picking 1 s and 1 n?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 9 - 4) + 5 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107244, -107243, -107240, -107235, -107228, -107219?\nAnswer: -107208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -17*o**4\/2 + 2*o**3\/3 - o - 220. Give y(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c**4\/5 - 2858*c**3\/5 - 4746*c**2\/5 + 43586*c\/5 - 1884 = 0. What is c?\nAnswer: -157, -5, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*a = 136, 0*w + 3*a - 193 = -4*w. Let g = w + 8. Suppose -4*u + g = -536. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4\/2 + 9*k**3\/2 + 21*k**2\/2 - 45*k\/2 - 27 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3015 + -214071\/71. Let d = g - -243\/355. What is the nearest to 2\/5 in -4\/9, 1\/3, d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -285\/8 - -275\/8. What is the nearest to 0 in -1\/10, -8\/3, -6, b?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -61, -125, -189, -253, -317, -381?\n\"Answer: -64*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30477?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**4 + 98398132*l**3 + 58732875 wrt l?\nAnswer: 8*l**3 + 295194396*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 4*o - 17, -2*g - 16 = 3*o - 27 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100467 is divided by 8368.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 30 = 5*n, 4*n - 6*n = -5*k + 23. Let d be n\/(-6) + (-92)\/24. Let g be 2*34\/(-18) - d. Which is smaller: g or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + 11 + (7 - 13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63856769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1537*c**2 + 40 - 193 + 4623*c**2 + 107 + 46.\nAnswer: 3086*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in years?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16524 - -2453?\nAnswer: -14041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00101513746 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -105 times 713\nAnswer: -74865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -372*b + 5580. Let p be x(15). Solve p = -11*v - 9 - 35 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Let x(t) = 5237019*t. Determine k(x(d)).\nAnswer: 5237019*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 88, 167, 274, 409, 572, 763?\n\"Answer: 14*i**2 + 37*i + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 x when three letters picked without replacement from {v: 5, x: 8}?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*-2*sqrt(1216) - (-4 + 2 + sqrt(1216)))**2 + 3.\nAnswer: -96*sqrt(19) + 10955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*-1*(-5 + sqrt(153)*1 + 2*(sqrt(153) + -2*sqrt(153))))**2 + -1).\nAnswer: -1422 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -254*b**7\/21 - b**3\/6 - 56*b**2 + b - 12. What is the second derivative of l(x) wrt x?\nAnswer: -10160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + (10 - -3) + -3 + 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103*m**5*r**2 + 8*m**4*r**3 + m - 6*r**3 + 22*r wrt m.\nAnswer: -2060*m**3*r**2 + 96*m**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0609391 rounded to 3 dps?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 9101?\nAnswer: 90ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000222 (base 3) in base 2?\nAnswer: -10001001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17388 by 7.\nAnswer: -2484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, k: 2, v: 2}. What is prob of sequence kv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -x + 1505, -8*x - 3*s = -10*x + 3013. List the prime factors of x.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3552 and 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.18 + 12.82. Let p = s + -12.72. Round p to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9569*g + 3452.\nAnswer: 9569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*s + 18*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (171\/(-27) - -6)\/((-24 - -67) + 7\/(-2))\nAnswer: -2\/237","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 2. Let z(j) = j**3 + 3*j**2 - 2*j + 3. Let i be z(-4). Let w = 16 + -19. Let x(g) = -g - 5 - g + 2 + 0*g. Determine i*m(u) + w*x(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r + 0*r + 34 = 9*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-2\/53)\/(((m*m*m\/(m\/(m\/((m\/(m\/(m*m*m\/(m*(m**(1\/4)*m)\/m*m))))\/m*m))))\/m*m)\/((m*m**2)\/m))**(5\/2) assuming m is positive.\nAnswer: m**(-281\/424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.5 - -2.8. Let t(v) = -v**3 + 5*v**2 + 7*v - 4. Let k be t(6). Sort r, k, -5 in descending order.\nAnswer: k, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -59. Let c = -87 + 60. Let v = 49 + c. Calculate the highest common divisor of k and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2281*s**3*w**2 - 2*s**3 + 579*s**2*w - 36*s*w**3 + 21*s*w wrt w?\nAnswer: 4562*s**3 - 216*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1762 = -5*w + 4*t, 3*t + 3064 = 5*w + 1305. Suppose -7*y = -3*y - 3*c - 444, -2*c + w = 3*y. What is the highest common divisor of 38 and y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 4:40 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)\/(n**(4\/3)\/n)*n*n**7*n**(-3\/2))**(-5) assuming n is positive.\nAnswer: n**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2224 - -1569. Let p = -639 - l. Factor -p*k - 8\/9*k**3 - 22\/3*k**2 - 32\/9.\nAnswer: -2*(k + 4)**2*(4*k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-5\/6))\/(t**(2\/31)*t) assuming t is positive.\nAnswer: t**(143\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/l**3))\/l**(-1))\/(l**(-8)*l**3))\/((l**(-1\/4))**(-16)*(l**1)**41) assuming l is positive.\nAnswer: l**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6615, 6624, 6621, 6594, 6531, 6420, 6249, 6006?\n\"Answer: -2*h**3 + 6*h**2 + 5*h + 6606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 14*d + 416 = 0. Let l = d + 51. Is l smaller than -3\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011 (base 4) to base 12.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 + 2*w - 2*w - 2 + 2*w**2 + 2 + 0*w**2 - 3*w**2 + w**2 + (2*w**2 + 0*w**2 - w**2)*(0 + 0 - 1))*(2*w + w - 5*w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24\/5*y**3 - 144 - 672\/5*y + 3\/5*y**4 - 24*y**2 = 0.\nAnswer: -10, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**4 - 7*t**3 + 33*t**2. List the prime factors of x(12).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5294 and 690.\nAnswer: 1826430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032903377 rounded to 3 decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4740 (base 10) to base 13.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2.5 (b) -13 (c) 44 (d) -3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*m - 55, -2*b - 3*m = -2*m - 23. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 13 - 10)*(0 - q**5 + 0) + 2*q**5 - 8*q**2 - 9 + 9.\nAnswer: 7*q**5 - 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-7))\/((-1)\/(-224)*-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**5 - 30*m**4 - 2719*m**3 + 4897205*m?\nAnswer: 20*m**3 - 360*m**2 - 16314*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 322061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/((27030\/(-32436))\/((-2)\/((-12)\/10)))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1878.70032 - 1873.7. Let g = 5 - z. What is g rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 7. Calculate the highest common divisor of a and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 46 = -118. Let u be (110\/495)\/(1\/c). Solve a - u*d = d - 5, 4*d = 5*a + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -14*s**2 + 213*s + 3176. Give k(-15).\nAnswer: -3169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (2 - 6))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*q - 20. Suppose -q*f + 11 - 4 = 0. What is the highest common divisor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27*c*d**3 + c + 13*d**3 wrt c?\nAnswer: -27*d**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 35*u - 8. Let f be i(35). Let p be -6*f\/(-12) - -4. Let m = 3 - -1. Solve p*z = -m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 smaller than 1274\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -24, 53447 in increasing order.\nAnswer: -24, -3, -2, 53447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(48)\/sqrt(2))\/(sqrt(84)\/(sqrt(28)\/sqrt(4))).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciggigggggkggi. Give prob of sequence iiik.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23412, -46824, -70236?\nAnswer: -93648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -4*u - 61. Solve -u + 6 = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 711\/10 - 3259\/40. Let x = 3440 + -20531\/6. Calculate the common denominator of x and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32832*i*r - i + 504*r + 7 wrt i.\nAnswer: 32832*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 309 + 12737. Let k = 678465\/52 - i. Find the common denominator of -103\/6 and k.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 151 = -x, 0 = a + x - 48 + 13. What is the greatest common factor of a and 12151?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + -2*sqrt(104)*-1 + sqrt(104) - sqrt(104))\/sqrt(8) + (1 + sqrt(1300) + -1*sqrt(1300))**2.\nAnswer: 1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + a - 36. Let o(m) = -m**3 - 9*m**2 - m - 7. Let l be o(a). Find the first derivative of -i + 8 + 0*i - l*i + 5*i wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/2028 and 9\/56.\nAnswer: 28392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3982*u**3*w**3*y**2 - u**3*w**3 + 161*u**2*w**3*y - 14*u*w**3*y + u*y**2 wrt u?\nAnswer: -23892*w**3*y**2 - 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27, 127, 309, 567, 895, 1287?\n\"Answer: -y**3 + 47*y**2 - 34*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5814, 13002, 20190?\nAnswer: 27378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of t**4 - 308 + 317 + 37*t**4 wrt t.\nAnswer: 152*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 - 0.35. What is the third biggest value in 3, 0.3, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/12)\/(3\/32). Suppose -12*j = -f*j + 160000. Round j to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 2650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (8 + 318\/(-18)))\/(2\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-48)*90*33448\/(-101700)\nAnswer: 37\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = f + 7. Let r(h) = 0*h**2 - f*h + 12*h**2 + 34 - 16. What is the units digit of r(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*a - 4*l, 5*a + 2*l = -0*l + 10. Suppose o = 5*i - 20, 0*o = -a*i + 5*o + 8. Let q(j) = 3*j + 4. Calculate q(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.979 + 0.121. Let x = -16 + u. Which is the closest to x? (a) -3 (b) 0.2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -29*q + 140. Let c be u(4). Let 60*h**3 - 16*h - c*h + 25*h**4 + 5*h**2 + 6*h + 4*h = 0. Calculate h.\nAnswer: -2, -1, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -66?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73967*p**3 - 222003*p**3 + 74014*p**3 + 74047*p**3.\nAnswer: 25*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217 + 182 = -7*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 2 + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + -26. Let x = v - -26. Let j = x - -32. What is the smallest value in j, 0.3, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(19\/(6783\/1377) + (-14)\/(-2))?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2. Let t(z) = -1059*z**2 + 114. Determine t(y(u)).\nAnswer: -1059*u**4 + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120018004 or -120018002?\nAnswer: -120018004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(50) + -5) + sqrt(14)\/sqrt(175) + -1)**2.\nAnswer: -8642*sqrt(2)\/5 + 65427\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1785*x - 16049. What is f(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2 + 3 = 0. Suppose 3*r = -0*m + 2*m - 14, 2*r + 21 = 3*m. Suppose -b = -z + m. Solve 0 = 5*y - 2 - z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-8))\/((-12)\/(-432)). Let t be -3*(-3)\/k*3. Let y(c) = -c**2 - c + 1. Let s(i) = 12*i**2 + 8*i - 8. What is t*s(d) - 8*y(d)?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -8*o**2 + 7*o - 5. Let d(p) = -9*p**2 + 8*p - 6. Calculate -4*d(j) + 5*h(j).\nAnswer: -4*j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 714.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 13*s**3 + 18*s - 3. Suppose -33*g - 24 = -37*g. Let d(b) = b**3 - b + 1. Let t(h) = g*d(h) + 2*r(h). Find the second derivative of t(p) wrt p.\nAnswer: 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -0.1, -51.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12586526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202001110230 (base 4) to base 3.\nAnswer: 121210002122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6)*-4*(-12)\/64?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -289 + 282. Suppose 4*r - 2*a - 2 = -0*r, -5*a - 15 = 0. Sort d, 1, r, 4 in decreasing order.\nAnswer: 4, 1, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1357 rounded to one dp?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (44\/5 - 8\/(-40))*(42 + (-55110)\/1485)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120670 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g - 2. Let w(x) = 42*x - 27. What is 4*i(q) + w(q)?\nAnswer: 14*q - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 10*o**2 - 90*o - 45. Let g(s) = 3*s**2 - 27*s - 14. Let i(l) = 10*g(l) - 3*h(l). Let v(b) = -3*b**3 - 6. What is -3*i(n) + 2*v(n)?\nAnswer: 3*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 0 + 4 - -3. Suppose 5*t - c*t = 4*t. Factor t*l + 14*l - 12*l**3 + 14*l**4 + 10*l**4 + l - 3 - 18*l**2.\nAnswer: 3*(l + 1)*(2*l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 - 112*g**2 + 111*g - 62. Calculate m(-57).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -42948, -85877, -128790, -171687?\n\"Answer: 8*i**2 - 42953*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 6 + 2. Suppose -l - 5 = -v, 3*o - 4*l + 39 = 0. Let n be (0 - 2) + (-36)\/o. Which is the second biggest value? (a) n (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(1700) + -2).\nAnswer: -20*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 9:55 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0, 2, -5, 81?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -228689\/5775 - 1\/5775. Let g = j + 3589\/90. Find the common denominator of g and -77\/298.\nAnswer: 2682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -204*d**3*r + 4*d**3 + 5*d**2*r + 74*d**2 - 179*d*r - 15478*r + 4 wrt d.\nAnswer: -1224*d*r + 24*d + 10*r + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((2 - -1) + (-1 - -2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 285701581*p. Let g(i) = -2*i**2. Calculate g(x(j)).\nAnswer: -163250786771799122*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + r - 145 = -4*r, 4*r = 2*s + 94. Let m = s - -387\/7. Suppose v + 2*v + 15 = 0. Put m, -4, v in decreasing order.\nAnswer: m, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddsssddsssd. What is prob of sequence ssdd?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/143 in -4, -0.191, -1?\nAnswer: -0.191","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 12075614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42449 is divided by 285?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/16 and 75\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + ((-5*(1 + sqrt(432)) - 6*(sqrt(432) + (sqrt(432) - -1*sqrt(432))))*6)**2).\nAnswer: -49367454 - 596160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 114 - 112. Solve -t*r - r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + (-490)\/90)*9\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39888?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 470 - 467. Solve 3*w = 4*w + y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.832 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 451*r - 6949. What is f(-16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 21168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**4*s - 2*n**4 + 14*n**3 + 622*s + 2 with respect to n.\nAnswer: -8*n**3*s - 8*n**3 + 42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -66. Solve z*q + 2 + 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 5980.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/5 - 3612*m\/5 + 340209\/5.\nAnswer: 3*(m - 1101)*(m - 103)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, 0.5, 469, -16, 0.8, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z + 4*z + 9*z.\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let k(n) = -10*n**2 + 5*n + 2062. Give d(k(i)).\nAnswer: 10*i**2 - 5*i - 2062","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2219, 4374, 6527, 8678?\n\"Answer: -x**2 + 2158*x + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 393, 3, -5.\nAnswer: -5, 0, 2, 3, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1129*q + 564*q - 171 = -3*l - 570*q, -15*q = 2*l - 499 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 m, and 1 b when four letters picked without replacement from {t: 1, o: 2, v: 4, m: 5, b: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -22, 19 in descending order.\nAnswer: 19, 5, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-2 - 19 - (-7 - -9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - x**2 - x - 2. Let b be j(-2). Let m(r) = r**2 - 3*r - 5. Let g be m(b). Is g - -4 - (-8 + -116) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 48. Suppose -o*c + 175 = 5*h, 6*h - h = 10. List the prime factors of c.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = 0, -3 = i + 4*a - 18. Let w(n) = n**2 + 5*n - 7. Determine w(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8031626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmtttpttpt. What is prob of picking 1 p and 1 m?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2000 - 3070. Round s to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4733011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/6)\/(((-288)\/(-54))\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + w**2 - 3*w**2 + w**2)*(10*w - 19*w - 14*w + (2*w + 1 - 1)*(2 + 3 - 6)).\nAnswer: 25*w**3 + 50*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22021000221210 (base 3) in base 16?\nAnswer: -42fc75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 843*w + 527*w - 430*w in the form g + n*w and give n.\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**9\/60480 + l**8\/10080 + l**7\/2520 - l**6\/240 + l**5\/20 + 3*l**2. Let c(d) be the third derivative of i(d). What is c(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64273463*a**5 - 436273445*a wrt a?\nAnswer: -1285469260*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 8:36 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -11. Let w = -58 + 63. Suppose -w*n - 58 = -3*p, 3*p + 3*n = -8 + 50. Calculate the least common multiple of r and p.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/13 - 18*p**3\/13 + 6*p**2\/13 + 58*p\/13 + 36\/13 = 0. Calculate p.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*g + 16 = 0. Suppose 49 = 5*q + 3*v - 2*v, g*q = -v + 39. Calculate the greatest common factor of q and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 139351 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 3, -913, 1, -5, -6 in increasing order.\nAnswer: -913, -6, -5, 1, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 9 = 14*k + 2*u, -4*k = -3*u - 29. Let n = 38 - 19. What is the remainder when n is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12\/5, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-1 - (4 - 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 893 + 38520.\nAnswer: 39413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - -8. Let m = -20 + a. Solve -2*s = 4*k + m, 7 = -3*k - 0*s + s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -7 - -6 - 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 64 - 82 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**2 - 6*i - 12. Let n be f(2). Let r = 273 + -283. Which is the nearest to n? (a) r (b) 0.07 (c) -0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.844 + 0.156. Let h = 28 + -25. What is the biggest value in h, -1\/5, -3\/8, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*f + 35 = 0, 2*m - 5*f - 175 = -3*m. What are the prime factors of m?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150340 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*g + w + 119, 3*g - 4*w - 125 = 0. What is the second derivative of -44 - 186*p**2 - p - g + 28 wrt p?\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8*l**3 - l**2 + 26*l + 125. Let p(m) = 3*m**2 - 58*m - 44. Let d be p(20). Is k(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 + 83 - 2)*(5*n + 0*n - 4*n)*(-4 + 2*n**2 + 4).\nAnswer: 268*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 7:11 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2036853*x - 28515950. Determine k(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 10:53 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4 + (5 + 0 - 2)*(3 + 0 - 2) - 4 - 1 + 2)*(-3 - 5*w + 3).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5 = -0. Suppose -2*a = 5*t - 6*a - 59, k*t = -2*a + 83. Suppose -g - 4*g + 214 = -i, 3*i = -g + 30. Calculate the remainder when g is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12371 is divided by 39.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 8.5. Which is the closest to 10? (a) 0 (b) o (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**3 - 5. Let t(u) = -u**3 - 7. Let f(o) = 2*o**3 + 16. Let b(s) = -6*f(s) - 14*t(s). Determine 7*b(w) + 3*i(w).\nAnswer: 5*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -445*u. Let t(b) = -2*b. Give x(t(a)).\nAnswer: 890*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2225.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/255 and -67\/1320.\nAnswer: 22440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 11*i**3 - 8*i + 6*i - i**4 + i to l*i**2 + q*i**3 + t*i**4 + c*i + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 670486871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 12018*y**2 - 48108*y - 48120.\nAnswer: 3*(y - 4010)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from eededdooddddddoddo.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 16. Let w be b(-10). Let f(m) = m - 1. Let q(g) = 2*g**2 + 5*g - 7. What is w*f(j) - q(j)?\nAnswer: -2*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/7)\/((-6)\/(-21)). Suppose 2*n = -2*x - 22, 3*x - y*x - 43 = -2*n. Let j = 15 + x. Solve -3*q = -3*u + q - 3, j = -u + q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 25*u**3 - 4*u**2 + 4*u + 3. Let c(r) = 49*r**3 - 9*r**2 + 9*r + 7. Give 4*c(j) - 9*p(j).\nAnswer: -29*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b - 23*b = -5*a - 20, a = -3*b + 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 3194, 13, -5 in decreasing order.\nAnswer: 3194, 13, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*c + 7133 = v, -v - 2*c + 2375 = 0. Suppose -5*n - 258 + 3553 = -5*m, 3255 = 5*n + 5*m. Suppose -9*z = -v + n. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/22 and 3 - 1 - (-23)\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 374.4 and 2\/575 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2835.7 + 2836. Which is the biggest value? (a) 8\/13 (b) j (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (136\/6 + -4)\/((-2)\/(-3)) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3035 by 2.\nAnswer: -3035\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -8. Suppose -6 = -f*k - 0*k. Solve 5*x = -k*d - 30, -7 = -2*d + d + 3*x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35*(-48)\/2520)\/((-32)\/(-9)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -7, -16.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**4\/24 - 3*k**2 + 8. Let v(d) be the second derivative of s(d). Let i(t) = 14*t**2. Calculate i(v(q)).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 56. Calculate the remainder when 63 + ((-8)\/(-20) - (1694\/(-55))\/(-7)) is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -368.2 + 364.2. Sort 2, c, -0.21, 4\/9.\nAnswer: c, -0.21, 4\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5 + 2 - 1 - p + 1. Let l be z(7). Suppose 4*k + 2*u - 64 = l, 4*k + u - 64 = 2*u. Calculate the remainder when 46 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*f**2 - 43 + 206*f**2 - 108*f**2 to d*f + t + s*f**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -15, 5, 4, -5, -13317, -1 in increasing order.\nAnswer: -13317, -15, -5, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 2)*(15 - 1 - 4)*(6 - 2 + 0)*(0*k - 3*k + 2*k).\nAnswer: 120*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5786*y**3 - 4897*y + 5749*y**3 + 4897*y.\nAnswer: -37*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252332 and 40576.\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (147\/(-9) - -6)\/((-1)\/3). Suppose h*k - 2565 = 22*k. Is 67 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**4\/6 - 2*v**3\/3 + 2*v**2 - 33*v + 2. Let m be o(0). Solve -20 = 4*q - 4*s, -18 = m*q - 3*s + s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from jcjjjjjjjcj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24804 - 24768 = -3*w for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**4\/4 - 8*h**3\/3 - 7*h**2 + 4*h - 3008. Calculate p(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 382, 1, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/17)*f)\/f**(-9)*(((f\/f**(-1\/12))\/f)\/f)\/((f**(6\/5)\/f*f*f)\/f) assuming f is positive.\nAnswer: f**(8161\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -891*g + 8661. Give c(10).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 136216029407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**6\/60 - 3*x**5\/10 - x**4\/12 + 3*x**3 + x**2. Suppose -320 = -5*k - 365. Is c(k) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63272491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from ccsbcxcssx?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 3. Let x(z) be the first derivative of 2*z**3\/3 + 33*z**2\/2 - 11*z + 8. Let t be x(-17). Calculate the greatest common factor of t and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31241 - -42?\nAnswer: -31144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + y - 1. Let a(r) = 18*r**2 + 45*r - 45. Let s = 3000 + -2999. What is s*a(p) - 45*n(p)?\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (276\/(-368))\/((-405)\/200)\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 103 in -10, -3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -2 (b) -1 (c) -1\/11 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0, 8627 in ascending order.\nAnswer: 0, 0.2, 8627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 2. Let w be f(3). Let y = 8 - w. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -821, -825, -831, -839, -849?\n\"Answer: -r**2 - r - 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.7 * -1.4.\nAnswer: -31.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*u + 19*u + 5880. Calculate the highest common divisor of u and 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 + 2*x + 2. Suppose -u - 562 + 53 = 0. Let f = u - -507. Let c(j) = 3*j - 4*j**2 + 2 + 2 - 2. What is f*c(z) + 3*o(z)?\nAnswer: -z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -2*z - 375. Suppose 0 = -y + 5*v, 0 = -4*y - 2*v - 3*v + z. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 6*d = -5, 4*g + 145*d - 147*d = 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*v = 17 - 26, -3*u + 23 = 2*v. Solve 0 = -4*i - 2*x - 3*x + 1, 3*x = -5*i + u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/2075687 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*g*k*v - 2*g*k + 505*g + 10242*k*v + 2*k - 3*v - 66 wrt v.\nAnswer: -30*g*k + 10242*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (432\/(-81))\/(2\/(-3)). Solve -q + p = 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**6\/20 + 3*q**4\/8 - 13*q**2. What is the second derivative of y(m) wrt m?\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*12*-1*89\/(9078\/153)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/21 + (-99810005)\/413. What is b rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -198751, -198683, -198613, -198541?\n\"Answer: w**2 + 65*w - 198817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(720) - (sqrt(720) + 2*sqrt(720)))*-1)\/((sqrt(18) - sqrt(648))\/sqrt(2) + -2*(sqrt(324) - sqrt(9))).\nAnswer: -8*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30881.71 litres in millilitres?\nAnswer: 30881710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000101010100101000 (base 2) to base 12.\nAnswer: 224034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 125. Suppose o = -22*c + 20*c. What is the common denominator of 2\/(-16)*c\/10 and -61\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*l - 43*l + 121*l - 39*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4))**(2\/185)\/(d**1\/d**6))\/(d**6\/(d**(-1\/5)*d))**(-3\/34) assuming d is positive.\nAnswer: d**(34319\/6290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 - 75. Suppose 4*m - 117 = -3*x, x = -2*m - 15 + 76. Calculate the greatest common factor of m and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 57 + -41778?\nAnswer: -41721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -m + 69 + 20, 4*m - 404 = -4*u. List the prime factors of 2\/(-6) - m\/(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28911 divided by -35?\nAnswer: 28911\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 19.1 times 0.081\nAnswer: 1.5471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 28*i - 27. Let m be r(-8). Which is smaller: -250 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 414 + b0a69?\nAnswer: b1180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12416643*r**2 - 4611689 wrt r.\nAnswer: 24833286*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/27)*(q\/(q*q**16))\/q)**(-4\/21) assuming q is positive.\nAnswer: q**(1828\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/20*(-4)\/(-46)*-1?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110 + -76.28. Let o = u - 47.71. Let d = o + 11. Round d to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*c**3 - 22*c**3 + 167*c**3)*(-3 + 3 + 5 + (-1 - 4 + 3)*(-2 - 2 + 3) + 5 - 1 - 2).\nAnswer: 1521*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15 + h**3 + 145*h**4 + 154*h**4 + 83 - 5*h**2 wrt h.\nAnswer: 7176*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1216, -1 in increasing order.\nAnswer: -1216, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 17*b**2 - b - 7. What is c(-17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.542346kg to nanograms.\nAnswer: 542346000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/3 - 1\/(-3). Let f(b) = 2*b - 18. Let r be f(10). Suppose p = -5*n + 3*p + 118, r*n - 32 = -a*p. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63445 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/(-12) - 1\/(-4). Let j = -60 + 27. Let m be n + -2 - j*1. Calculate the highest common divisor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286800 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (-10 - -5) - -4) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1394 - -1392. Let m = -0.2 - 0.3. Sort 1\/3, g, m in increasing order.\nAnswer: g, m, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/3)\/((-22)\/(-66)))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 j when three letters picked without replacement from {j: 11, y: 3}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(4\/(-8)*(-4)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*y - 37*y = -2*y - 170690. List the prime factors of y.\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82925*q**3 + 82928*q**3 - 14 + 14.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 13*b + 30*b. Determine i so that -2\/5*i**4 + 2\/5*i + 2\/5*i**2 - 2\/5*i**3 + b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*n = -24, g - 2*n = 17 + 1. Let w be (g\/(-4))\/7*-6. Factor -1\/5*a + 1\/5*a**2 - 1\/5*a**4 + 1\/5*a**w + 0.\nAnswer: -a*(a - 1)**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 22*j - 34. Let o(m) = 7*m - 11. Let y = -32 + 29. Let c(n) = y*i(n) + 10*o(n). Let q(a) = -2*a**2. Give q(c(k)).\nAnswer: -32*k**2 + 128*k - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1\/2, -117, 0.2, 0?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = a - 1442. List the prime factors of a.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -571 divided by -1.\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vctcctmthtccmcc. Give prob of picking 1 c, 1 v, 1 t, and 1 h.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14292567 divided by 1.\nAnswer: 14292567","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 47.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence seti when four letters picked without replacement from {o: 1, s: 2, i: 1, e: 1, t: 1, h: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -12*o - 73 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (4 - -5) + (-15 - (-16 + 0))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) - (-1)\/4. Suppose r = u - 3*u. Suppose u = v - 2*n - 14, -1 + 43 = 5*v + 4*n. Solve -4*i = -4*h - 4, 3*h = 5*h + v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**5 + 188*g**4 - 1078*g**3 + 1948*g**2 - 1056*g = 0.\nAnswer: 0, 1, 2, 3, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -70926 divided by -3\nAnswer: 23642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-3\/10))\/(n**(-6)*n))**(-44) assuming n is positive.\nAnswer: n**(-1386\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -44*f**4 + 1020*f**3 - 5464*f**2 - 5376*f + 1152 = 0. Calculate f.\nAnswer: -1, 2\/11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(132)\/sqrt(4))\/sqrt(11) + sqrt(243) + 1) - (sqrt(336)\/sqrt(7) - sqrt(33)\/(sqrt(88)\/sqrt(8))).\nAnswer: 5 + 47*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 584 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -139*l - 2. Let x be m(4). Let j = -5 - -13. What is the common denominator of x\/j*(-18)\/27 and 33\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 + 1. Let s = 58470 + -58474. What is the second smallest value in -0.14, s, 1\/11, v?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.9 + -0.9. Let s = r - 8.7. Which is the nearest to 0.1? (a) -2 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 791*r. Let v(z) = 1042*z - 2099*z + 1056*z. Calculate s(v(u)).\nAnswer: -791*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**4\/12 - 10*d**3\/3 - 16*d**2 + 6*d - 3. Let b be j(-18). Suppose 2*x = 3*c + 13330, b*c = -c + 20. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m. Let d = -51 - -50. Let n(c) = -24*c + 17. Let u(f) = d*n(f) + 3*x(f). Differentiate u(a) with respect to a.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**3 + 1. Let j(z) be the first derivative of -96 + 0*z - 3\/2*z**2. Give i(j(v)).\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 632, 1511, 2752, 4361?\nAnswer: 6344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 7*k - 275. Suppose -3*o - 22 = -k. Is 2\/145 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**6\/120 - n**5\/10 + n**4\/12 - 2*n**2 + 10*n. Suppose 4*r + 21 - 5 = 0, 2*r = -4*l - 32. Calculate s(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45919.\nAnswer: 47, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -420 (base 6) to base 2\nAnswer: -10011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) 1 (c) -1\/8 (d) 1125 (e) -1\/7 (f) -2\/9 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -1112?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 255\/27*(-8181)\/(-4545)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/1023 and 16\/11935.\nAnswer: 35805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - o - o)*(3*o**2 - 6*o**2 + o**2) - 2 + 2*o**3 + 2 - o**3 + 0*o + 0*o - 9*o**2 - 5*o**3 + 9*o**2 - 17128*o**2 - 2*o**3 + 17128*o**2 - 15*o.\nAnswer: -10*o**3 - 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 5*b**2 + 3*b + 15. List the prime factors of w(-9).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14333, -14503, -14783, -15167, -15649, -16223, -16883, -17623?\nAnswer: -18437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*l**(-7)*l))\/l)*l**(-2)*(l**(-1\/4))**(7\/3))**(2\/19) assuming l is positive.\nAnswer: l**(-79\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o**3 + 2*o**2 - 2*o + 1. Let l be x(1). Let c = -19163\/1770 - 2\/295. Find the common denominator of (-122)\/l*12\/(-15) and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5432735 or -5432718?\nAnswer: -5432735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m. Let d(k) = 7*k - 28315. What is q(d(j))?\nAnswer: 21*j - 84945","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 254 - 248. Suppose 4*q = 6*q + 12. Calculate the least common multiple of 2*q\/8*-2 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -61\/12 - -16\/3. Find the common denominator of (-285)\/(-35)*(2 - 1) and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0291153 less than -84?\nAnswer: -84.0291153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + ((sqrt(1872) + 2 + sqrt(1872) - sqrt(1872)) + sqrt(1872))**2 + ((sqrt(832)*3)**2 - sqrt(13)) - (-3 + 5*sqrt(104)\/(sqrt(8)*1)).\nAnswer: 91*sqrt(13) + 14983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 2ba79218?\nAnswer: -2ba79221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3851*b - 20 = 3856*b, 2*a - b - 22 = 0 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 - 74. Let i be g\/5 - (-90)\/(-75). Let u(m) = -3*m**3 + m + 1. Let o be u(i). Solve 2*f = o*f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -8*n**5\/15 - 7266*n**4\/5 - 877358*n**3\/3 - 645764*n**2\/3 + 3274216*n\/5 - 2185232\/15 = 0.\nAnswer: -2506, -218, -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b + 2*b. Let r be (-4 - 1 - b)\/1. Let m be 1\/(0 - r\/51). Solve 4*f = 5*j - m, 14 = 5*j - f - 2*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = r - 2*s - 216, 5*r = -3*s + 1220. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4311102 (base 5) in base 8?\nAnswer: -215714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 958 - 0 - (21\/9*-3 - -2) is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1223 - 2485 = -22*y - 1218 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*f + 2, -4*f + 4 = 5*j + 2. Let u be ((-3)\/3*0)\/j. What is the second derivative of -g**2 - 3*g - g**5 + g**2 + u*g wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l + 145 = 2*o, -4*l - 144 = -2*o. Is 70 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 132215530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + 0.06. Let s = v - 0.13. Let n = s + -0.47. What is the second biggest value in n, 2\/3, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 5*o**2 - 2*o. Let p be w(-5). Let y = -85 + 155. Calculate the highest common factor of y and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/9))**(2\/59)\/(q\/((q*q**(3\/5))\/q*q)*q**7*q*q) assuming q is positive.\nAnswer: q**(-22232\/2655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 70403*r + 70402.\nAnswer: (r + 1)*(r + 70402)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1788 = -19*b + 21*b. Suppose -14*w = -17*w + b. List the prime factors of w.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -4, -1302 in decreasing order.\nAnswer: 4, 2, -4, -1302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 10. Let t(h) = h**2 + 1. Let c(i) = 5*i**2 + 5*i + 12. Let l = -333 - -332. Let y(u) = l*c(u) + n*t(u). Give y(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2880*a - 11393. What is r(-4)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 19*p - 2019. What is the thousands digit of f(-78)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - i + 1. Let b(f) = 3*f**3 - 6*f**2 + 4*f - 4. Determine -b(t) - 6*v(t).\nAnswer: -3*t**3 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1871545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3737.37 kilometers in nanometers?\nAnswer: 3737370000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 - 60*i**2 - 45*i - 23. Is b(31) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 64, 6, -52, -110?\n\"Answer: -58*d + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199269312 by 754808.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/3 (b) -3 (c) 117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -631 (base 12) to base 5\nAnswer: -12101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(91)*6)\/sqrt(7))**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 5750?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 1, -33, 5, -3 in increasing order.\nAnswer: -57, -33, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20534 (base 7) in base 10?\nAnswer: -5072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3381197 to the nearest integer?\nAnswer: 1839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 38.783 + 30\nAnswer: 68.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4474695 and 9.\nAnswer: 4474704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 4*b**2 - 11*b - 3. Let m be y(6). Suppose 5*q - m*d + 309 = d, -q = d + 69. Let l = -63 - q. Solve -j - l*j = -9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2773401.6 and 0.1082121.\nAnswer: -2773401.4917879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254, -1006, -2258, -4010, -6262, -9014, -12266?\nAnswer: -16018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r*r)**38*r**(3\/7)\/r**10 assuming r is positive.\nAnswer: r**(199\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2 + 20\/(200\/(-30))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3496 and 11338896?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j*m**3 + 63*j*m**2 + j*m + 15496*j + m**5 - 11*m**2 - m + 1 wrt m?\nAnswer: 24*j*m + 126*j + 20*m**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-29)\/(28101\/(-1445)) - 8\/6. Suppose 6*m + 8 = 10*m. Suppose 0 = -m*i - 0*i. Which is smaller: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20695421.\nAnswer: 3061, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(3\/7)*v*v*v)**(1\/13))**(1\/21) assuming v is positive.\nAnswer: v**(32\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22498? (a) 21 (b) -2\/71 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*k + 56*k - 2*k**3 + 65*k.\nAnswer: -2*k**3 + 151*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**2 + 12*r - 258. Give z(-10).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*d - 8, -3*d = 4*x - 14 - 2. What is the third derivative of -8*y**2 - 4*y**4 + 4*y**2 + 0*y**d wrt y?\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 46a35 + -5?\nAnswer: 46a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4 = 2*q. Let k = 16 - 9. Suppose q*z - 3*z = -k. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*q = -25, -4*b - 1 = -4*q - 21. Suppose -6*z + 10 + 8 = b. Suppose -z*v + 193 = -23. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22089365*t**2 - 56175057 wrt t.\nAnswer: -44178730*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 14 = -36*f. Let t be 540\/(-6) - f\/5. Which is smaller: -89 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**3 + 2773644*v**2 = 0 for v.\nAnswer: 0, 693411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 9:31 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5980125367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a = -35976 + 36229 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p + 1. Let b be m(1). Let c = 13 + b. Calculate the remainder when c is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*-1*sqrt(114) - -2*(sqrt(114) + (sqrt(114)*2 - sqrt(114)))))\/((sqrt(180)\/sqrt(5)*-4)\/(sqrt(30)\/sqrt(125))).\nAnswer: 9*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*x - 10 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(1\/3)*z**(4\/15)\/z assuming z is positive.\nAnswer: z**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 7:06 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -16. Suppose 59 = -2*h + z, 4*h + z - g*z = -124. What is the tens digit of (-111)\/(-2) + 14\/h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24392 - -32336. Does 7943 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(2\/9))\/(p\/(p*p**(-1\/8)*p)))\/(p**0)**(-38))**(-3\/20) assuming p is positive.\nAnswer: p**(-119\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r**2 - 5. Let x(d) = -3*d**2 + 2. Suppose 0*y - 3*y - 30 = 0. Let w(s) = y*x(s) - 4*m(s). Let z(f) = -176135 - 10*f + 176135. What is z(w(l))?\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 109355103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h + 36724 = 195*h - 326716. What is the remainder when h is divided by 686?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*r + 84 + 138, -296 = -5*r - 3*m. What are the prime factors of r?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15222.\nAnswer: 2, 3, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89 + -42. Let j = -25 + z. Solve 4*k + 6 - j = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -58 - -7d7c?\nAnswer: 7d24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 26) + 6*3\/(-6). Let g = r + 40. Solve -g = -2*u - b - 1, 18 = 5*u - b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -174419*l + 2093019. Give y(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 227320228 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3390211 and 1507.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*r + 27, 4*z - 32 = -24*r + 19*r. Let f = 64 - -76. Factor -3*n**z + 0*n**2 + f*n - 9*n**2 - 113*n - 15.\nAnswer: -3*(n - 1)**2*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16092*s - 16099*s - 16090*s + 64392*s - 16100*s + 1.\nAnswer: 11*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, t: 9, h: 1, d: 2, n: 1, p: 3}. Give prob of picking 1 d and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 - k + k)*(4*k**2 - k**2 - k**2) - 3*k**3 + 3*k**3 - 2*k**4.\nAnswer: -10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 u when three letters picked without replacement from {x: 1, l: 2, k: 1, u: 2, q: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaazhazxzztqaaaza. Give prob of picking 1 a, 1 h, and 1 q.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 734460 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**4\/4 - u**3\/3 + u**2\/2 + 31*u + 1. List the prime factors of d(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 = 17*r + 25*r - 2*x, 175*r - 176*r - 5 = x + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d + 1. Let z be u(7). Suppose 0 = -2*g - 8 - z. Let y = g - -36. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 7:25 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 3.3909351.\nAnswer: 3.3909351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -271, -390, -507, -622, -735, -846, -955?\n\"Answer: x**2 - 122*x - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -38. Sort 0, c, 0.2.\nAnswer: 0, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 343131204 + -42?\nAnswer: 343131112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 87.\nAnswer: 5\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36812623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, -63, -256, -561, -984, -1531, -2208?\nAnswer: -3021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 742\/(-189)) + 29732\/124362 + 364\/(-8554).\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 8*r - 7. Let c be y(-6). Let q = -24 + 59. Let i = c + q. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 + 85 - 224 + 24*v**2 + 145 as k*v**3 + i*v + t*v**2 + y and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5 = -4*c, -14*t + c = -15*t + 1. Let n = -0.03 - -0.43. What is the third smallest value in -0.1, n, t, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 27470515 and -2649844.\nAnswer: 24820671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278174060.\nAnswer: 2, 5, 17, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 17*c**3 - 2*c**2 - 4*c - 6. Let x(v) = 16*v**3 - v**2 - 3*v - 5. Determine 3*s(l) - 4*x(l).\nAnswer: -13*l**3 - 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/53 bigger than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**4\/12 + m**3 + 7*m**2\/2 + m. Let t = -6 - -4. Let h = -3 + t. Calculate b(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 divided by -17.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50411?\nAnswer: 50411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 7. Let v be z(-2). Suppose -5*p - 3*f + 175 = -f, 0 = v*p - 5*f - 210. What is the highest common divisor of 37 and p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - k - 110 = 0, 0*m + k = 5*m - 138. Suppose 0*t + m = 4*t. Suppose t = 5*x - 38. Calculate the remainder when 25 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 + 301\/((-301)\/72).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 10. Let n(o) = -2*o + 1. Let c(q) be the third derivative of -q**3\/6 - 9*q**2. Let t(h) = c(h) + n(h). What is t(f(p))?\nAnswer: 4*p - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 1 = 4*s - 21, -4*s = -3*m - 44. Suppose 0*g + 2*g = -2*a - 2, g = -4*a + s. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29726*t - 2*o + 22 = -29729*t, 19 = -t + 3*o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-200))\/((-60)\/50). Let r(m) be the third derivative of -m**2 + 0*m + 0*m**4 + d*m**5 + 0*m**3 + 0. Factor r(z).\nAnswer: z**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 1)*(-2*c**2 - 4*c + 4*c).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**9)\/(a\/((a*a*a**(3\/11))\/a)*a))\/(((a**2\/a)\/a)\/(a\/(a**(1\/7)\/a))))\/((a**(-4\/5)*a)\/(a*a\/a**8))**(-43) assuming a is positive.\nAnswer: a**(99996\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550680 is divided by 275340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 2, 2\/5, -0.14, -1 in decreasing order.\nAnswer: 2, 2\/5, 2\/11, -0.14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 6, 0 = -4*k + 11*g - 8*g + 58. Solve 4*h - 11 + k = -3*r, -3*r + h = 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*y - 3*y = -3, 0 = -y + 1. Suppose -j + 2*j - 40 = m. Let d = 204\/5 - j. What is the smallest value in d, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 127, 15, 85 in descending order.\nAnswer: 127, 85, 15, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 281025 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 88.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + 104861?\nAnswer: 104877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 6 = -3*j, 0 = 5*f - 5*j - 52349985. What is f rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 2*i**6\/15 - 3*i**5\/5 + 2*i**4\/3 - 38*i. Let a(o) = 0. Calculate o.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (86*o**3 - o + 60*o**3 + 3*o)*(20*o + 2*o + 8*o) as u*o**4 + i*o**3 + g*o**2 + w + j*o and give u.\nAnswer: 4380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -283, -284, -285, -286, -287, -288?\n\"Answer: -v - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 54382 + 54382.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/(1\/(-4)). Let s be ((-337 - u) + 0)\/(-1). Let p = 435 + s. Round p to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 0*c**6 + 0 - 5\/42*c**7 - 5*c + 1\/2*c**3 + 0*c**2 + 0*c**4 + 0*c**5. Find the second derivative of x(m) wrt m.\nAnswer: -100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*r - 58. Suppose -2*n = -3*k - r, -3*n + 2*k = -13 - 11. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {y: 1, f: 4, q: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -34?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjjejeejjejheer. Give prob of sequence ejg.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38148 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3958?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*j - 111 - 550 - 25*j + 57*j)*(6*j**3 - j**2 + j**2).\nAnswer: 12*j**4 - 3966*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*2 - sqrt(704)) + 2)*1.\nAnswer: 2 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-72) + (-308)\/(-63). Sort 0, -5, n, -1 in decreasing order.\nAnswer: n, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 3 - 3)*(-1 + 0 - 2)*(3 - 6 + 2).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7 + -29.7. Let o = 342.1 + -316. Let g = n + o. What is the closest to g in 2.4, 3\/2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -2 + -7 + -93 + 70\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 5*l + 1. Suppose 4*j + 8 = 0, -3*j + 2*j = 2*s - 72. Let q = 71 - s. Calculate the remainder when q is divided by i(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-160))\/((-32)\/64).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 13613480?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225 divided by -1919262.\nAnswer: -75\/639754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**3\/3 - 3*a. Let z(f) = 3*f**2. Give d(z(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1319785880.\nAnswer: 2, 5, 7, 97, 48593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 2. Let j(x) = -x + 3. Let h be j(5). Let t be b(h). Let p(q) = -q**2. Let u be p(0). Solve -a + m - 2 + t = u, m = 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26698331?\nAnswer: 11, 23, 105527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -31, -68, -119, -184, -263?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-8 - 1) + (-27 - (-2 - 14))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.58000252 + -1.58. Round d to 7 decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1705 or -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 854839 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3508?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1204*f**3 + 3940*f**2.\nAnswer: 7224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 158135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7972*a**3*l**3 + 9*a**3*q - 15*a*l**3*q**2 + l*q**2 wrt q?\nAnswer: 9*a**3 - 30*a*l**3*q + 2*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -5. Suppose i = -t*k + 7, 0 = 2*i - i - 4*k. Suppose 4*p = -4*o + 96, -2*o - 37 = -5*o + i*p. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h - 11. Calculate d(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3889 - 964. What is the least common multiple of s and 3250?\nAnswer: 29250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311689?\nAnswer: 7, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120728 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(162) + 4 + sqrt(162) + 1 + (-1*sqrt(162) + -2 - sqrt(162)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 20 = -3*y - 32, -36 = -3*s - 3*y. Suppose -8*b + 5 = -s. What is the lowest common multiple of b and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -2*z. Suppose 3*y - 2*y - 18 = z. Let 5*i**2 - 16 + 30*i - i**2 - y*i = 0. What is i?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 26, 65, 138, 257?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.64524043 to 1 dp.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**3 - 19*f**3 - 46*f**3.\nAnswer: -53*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 5. Suppose -6 = l*n + 6. Is (-1 - (-147)\/n)\/(-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4070 + 61054\/15. Let d(u) be the first derivative of 2\/5*u**4 - 4\/25*u**5 + 0*u + z*u**3 - 1\/5*u**2 + 38 - 1\/5*u**6. Suppose d(m) = 0. What is m?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*s + 3*s - 139, -3*n = -4*s - 200. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**2 + 75*t + 88. Let w be m(15). Solve -25*c - 37 - w = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0799642 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38447 or -38425?\nAnswer: -38447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, t: 1, y: 1, d: 4, g: 2}. What is prob of picking 1 g and 1 t?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 7971578?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/15 + (-4)\/10. Suppose f*y = y - 11. Let i = y + -37. What is i rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276038259?\nAnswer: 3, 7, 13144679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -18*d**2 - 1340*d + 98. Let w be q(-51). What is the highest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdddgg. What is prob of sequence dgdd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m**2 + 4*m + 1. What is l(-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3215 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102021 = -8*i + 409411. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19.4 (b) -0.2 (c) -11 (d) 0.4 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256960618 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 377, 923, 1701, 2705?\nAnswer: 3929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b + 8. Let v be h(-6). Let n(q) be the third derivative of -q**5\/60 - 5*q**4\/24 - q**3\/2 - 14*q**2. Give n(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 4*z**2 - z + 2. Suppose 4 - 2 = i. Let t(k) = -k**3 - k**2 - 1 - 3*k**2 - i*k**2 + 7*k**2. Give f(v) + 2*t(v).\nAnswer: -v**3 - 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -802*h - 18. Let l be j(-9). What is l rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 8:57 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8499820 and 24285200.\nAnswer: 169996400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5003793663?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16599 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*c, c - 2*a - 4 = -a. Suppose 64 = 2*y + c*y. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**8\/1680 - p**7\/525 + p**6\/200 + p**5\/75 - p**4\/30 - 4*p**2. Determine r so that s(r) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -82*j**3 + 2*j**2 - 2*j + 4. Let t be g(3). Let b be ((-1948)\/(-16))\/((-7)\/84). Let o = b - t. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/9 - 1148*t**3\/9 - 114562*t**2\/3 - 22544704*t\/9 - 141370880\/9 = 0 for t.\nAnswer: -112, -7, 805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.264 + 0.664. What is the closest to -0.1 in 2\/11, 32, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 - 51. Suppose -2*p - 15 = -5*p - 3*l, -5*p + x = -5*l. What are the prime factors of -1 - 3*p*-3?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337815501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -32. Suppose 5*r + s*r = 2045. Suppose 3*l - r = -3*i + 68, l + 2 = 0. Calculate the highest common divisor of i and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5*u = 75, -18718*x - 4*u + 102 = -18725*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -17 + 2*x + 29*x**2 - 21 + 36. Give o(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uul when three letters picked without replacement from ulssulll.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = n - 29 + 18, 14 = -2*n - 5*c. Solve -q = -m + 2, 4*q - n*m + 36 = 33 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/4588 and -51\/128.\nAnswer: 146816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 220101?\nAnswer: 220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -45 (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/4 of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, e: 1, g: 3, w: 10}. What is prob of sequence wegw?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/208 and -67\/971958?\nAnswer: 7775664","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 256*j + 3253*j + 0.\nAnswer: 3509*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 8*j**2 - 12*j + 26. Is q(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1172 = -i, -3*y + 1247 - 59 = 3*i. Solve 395*u = y*u - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*i = 7*t + 65, -i = t + 3. Let b be 54\/t*2*(-4)\/3. Calculate the highest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 2 + 5. Suppose 3*l = 2*d - 99, l + 0*l = m. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 10*a**3 + 11*a**2 + 11*a - 9. Let p(m) = m**3 + m**2 + m - 1. Determine 2*n(t) - 22*p(t).\nAnswer: -2*t**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 5*a - 4. Let o be i(2). Suppose -h - 3 = 2*z, 3*h + 10 + 1 = -4*z. Put 4, o, -4, h in ascending order.\nAnswer: h, -4, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + r**2 + 9*r - 3. Suppose -3*i + 3*u = 0, -i = i - u - 4. Suppose 2*p = -2*t - 22, t + i = -0*t. Is o(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 7\/4 (b) -0.5 (c) -1\/3 (d) 2 (e) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146658*h**4 - 19*h**2 - 721*h + 1 wrt h?\nAnswer: -3519792*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 3*t - 15 = 2*h, -9 = 3*h - 3*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - m**2 - 2*m**2)*(-m**3 - 2*m + 2*m) + 35*m**5 + 137*m**2 - 137*m**2.\nAnswer: 37*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + 4*(sqrt(252) + 1*sqrt(252) + sqrt(252) + sqrt(252)*-1)\/(-3*-2*sqrt(9)*-1)).\nAnswer: -8*sqrt(7) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n**3 + 8*n**2 - 2 - 7*n**3 + n**4 + 1 as c + w*n + a*n**2 + h*n**4 + o*n**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1715 + -10072?\nAnswer: -12007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1724*k**3 - 580*k**3 + 2191*k**3.\nAnswer: 3335*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/992875 and -35\/7943?\nAnswer: 992875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 77461 (base 8) to base 2\nAnswer: 111111100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-700)\/(-900))\/((-2)\/60*-21).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, w: 3}. What is prob of sequence wwwp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 - 9*u + 9*u + (-u**3 + 3*u**3 - u**3)*(-30*u - 85 + 85) - u**4 + 3*u - 3*u.\nAnswer: -30*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhhtpnhtpnntpp. What is prob of sequence ht?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 4\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 4*a**2 - 2*a. Calculate u(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -22.840935.\nAnswer: -26.840935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5775, 5533, 5279, 5007, 4711, 4385, 4023?\n\"Answer: -i**3 - 235*i + 6011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/72 + 3\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 7*w**2 + 7*w + 3. Let v be t(6). Suppose 0 = 5*r - 51 - v. Calculate the remainder when 23 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -21*w - 24. Let u(h) = 3 + 4*h + 4 + 6 - 8. Let q(b) = -5*p(b) - 24*u(b). What is q(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 4. Let v be b(-3). Let p(k) be the first derivative of 44*k**3 + k**2\/2 - 2*k - 103. Is p(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5524468 greater than -5524470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 590 and 923645?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6193, 49514, 167113, 396130, 773705, 1336978?\nAnswer: 2123089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 33*s**2 - 157*s + 12. What are the prime factors of l(22)?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44530351361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830.0661 months to years.\nAnswer: 69.172175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2209 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3140 and 242408?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p - 45 - 7. Solve -2*z - 5*v - p = -21, -5*z + v = -2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*g + 143*g + 66*g)*(1 + 3 - 5).\nAnswer: -250*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 11*s - 1. Let m be 363\/(-55) + 8\/(-20). Let a(p) = -2*p**3 - 12*p**2 + 14*p + 11. Let j be a(m). What is b(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 4. Let r = v + -18. Find the third derivative of -17*f**6 + 0*f + 20*f**6 + 7*f**2 + r*f wrt f.\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-75 - 1)*(-9)\/12. Suppose -5*h - 5*b + 215 = 0, 3*h + 2*b = 8*h - 180. What is the greatest common factor of l and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**4 + g**3 - 1. Let c(b) = 17*b**4 - 11*b**3 + 3. Let i(k) = -2*c(k) - 22*y(k). Differentiate i(w) with respect to w.\nAnswer: -48*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37337 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2750000 rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 534194 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 835 = 9*a + 817. Sort a, -3, -2, -18.\nAnswer: -18, -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1765 - -1755.73. Let k = 0.37 + n. Let a = 8.9 + k. Put 1, -0.12, a in increasing order.\nAnswer: -0.12, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or 0.01153?\nAnswer: 0.01153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -611.91 to the nearest ten.\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -34. Put 2, 4, w in descending order.\nAnswer: 4, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 5\/4, 39\/8, 4\/9, -3\/16, 3.\nAnswer: -3\/16, 1\/4, 4\/9, 5\/4, 3, 39\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 26*l - 81. Let t = 83 - 80. What is the remainder when (0 + 6*t\/(-15))*-10 is divided by y(29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 2, 8 in decreasing order.\nAnswer: 8, 2, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1189 and 538414.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 3:18 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*c + 45, -c + 114 = y + 63. What is the remainder when 560 is divided by y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.588 - 1.719. Which is the second smallest value? (a) -0.4 (b) l (c) 8 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 11) to base 3.\nAnswer: -11220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -4 (c) 264251.6 (d) -1\/17 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 4:01 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 167523 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3\/5*(15170\/(-861))\/37.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, 116, 371, 792, 1403, 2228, 3291?\n\"Answer: 4*x**3 + 47*x**2 - 56*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a**3 - 52*a**2 + 4*a + 4. Let o(p) = -17*p**3 + 156*p**2 - 11*p - 11. Give -11*j(u) - 4*o(u).\nAnswer: 2*u**3 - 52*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2517*c - 3912. What is the thousands digit of d(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -27*c + 27*c + 4*c**2 + 6. Let w(d) = -5*d**2 - 7. Determine 6*g(q) + 5*w(q).\nAnswer: -q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.87833792 - -0.125?\nAnswer: 13.00333792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106 + -56. Let y = h + -50.041. What is y rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 437, 419, 401?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -78267 divided by -3727?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g\/g**1)\/g)**(-22\/9)*g*g**(1\/17)*g\/((g\/(g\/(g*g\/(g*g\/(g*g\/(g**(-2\/11)*g)))*g*g*g))*g)\/g))**(1\/6))**33 assuming g is positive.\nAnswer: g**(-397\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nii when three letters picked without replacement from {i: 2, r: 5, o: 1, n: 5, e: 3}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 59 - 21. Let f be 1\/5 - 4\/m. Let g = 1 + 1. Is g > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/4)\/((-1)\/17). Let y = m - -29. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/7, 57\/62 in decreasing order.\nAnswer: 57\/62, 0.2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 8*g**2 + 5*g - 4. Suppose 3*v + 4*b = 9*b + 5, -4*v - 5*b + 65 = 0. What is the least common multiple of v and w(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 + 44*z - 25. What is the remainder when 116 is divided by h(21)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -588788*g. Let q(l) = -2*l. Calculate q(u(z)).\nAnswer: 1177576*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.2963946cm?\nAnswer: 2963946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6441.086kg?\nAnswer: 6441086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 38 = 2*a - 3*g, 4*a = 4*g + 84. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 15*v**2 + 12*v + 31. Let o be q(14). Solve -o*m - 6 = 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + d)*(d**2 + 3*d**2 - 5*d**2) + 7*d**3 - 6*d**3 - 5*d**3 - 4*d**3 + d**3 + d**3.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1722 and 3394636.\nAnswer: 10183908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l = -129*l - 361 - 247. Let b = -1.1 - -0.1. What is the fourth smallest value in 1\/4, b, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2. Suppose 15*d = 10*d + 115. Let a(f) = -11*f**2 - 8*f**2 + d*f**2. Let r(m) = 3*a(m) - 10*g(m). Let h(s) = 8*s**2. Calculate h(r(k)).\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from uuwuwuwiiiu?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*a + 25 = 0. Let o(i) = 5*i - 3*i + 14 - 7. Give o(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-1\/7))\/u)\/u**(1\/5)*(u*u**(-2\/3))**(-47))**(1\/27) assuming u is positive.\nAnswer: u**(-1681\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325255420.\nAnswer: 2, 5, 7, 23, 83, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 3:23 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -198*o + 71. Let n be w(-8). Is ((-30)\/(-3))\/(-2*(-5)\/n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2*n = -24, -2*p + 123 + 65 = -63*n + 11 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 23332, -3 in increasing order.\nAnswer: -52, -3, 23332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 12 = -8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.09 and 1329.\nAnswer: 1328.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d + 2. What is o(7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -7*g + 3*g. Which is the biggest value? (a) 3 (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5286139229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + (-15)\/2)*144\/(-30). Solve 3*g + 22 = -5*k, -4*g - 10 = 3*k + y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -461\/45 - -53387\/5040. Find the common denominator of g and -1\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + l + 6. Let j be t(-2). Let y(i) = 5 + j*i - 7 - 22 + 6*i. Let q be y(6). Solve h + q = 5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1065 and 22?\nAnswer: -23430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 527635*n**2 + 7*n**3 + 633*n - 527635*n**2 + n**4 in the form z*n + y*n**2 + f + b*n**3 + g*n**4 and give z.\nAnswer: 633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, i: 2, y: 1, k: 6, h: 2}. Give prob of sequence ilk.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -715*u**3 - 5*u**2 - 6*u?\nAnswer: -4290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7191265 to the nearest integer?\nAnswer: 2682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaaaaazazzaaza. What is prob of picking 2 z?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 1. Let h be 6*(3\/2)\/(-3). Let v be c(h). Calculate the common denominator of 5\/18 and -2 + ((-89)\/(-4) - v).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -907340, -1814669, -2721998, -3629327?\nAnswer: -4536656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4*l. Suppose 13*d - 20*d + 441 = l. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1600*y - 43873. Determine p(-24).\nAnswer: -5473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/75 and 71\/217725?\nAnswer: 217725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 613270162 and 1262?\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 0*y)*(2*y - 2*y - y + (-3 + 5 - 1)*(-y - y + 0*y) - 2*y - 3*y + 3*y - 2*y + y + 0*y).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2945 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/4*o**4 + 0 + 9\/4*o**3 - 7\/4*o**2 + 1\/2*o + 1\/4*o**5 = 0. Calculate o.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 3725*w + 205464. Give q(56).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 1 + 3*v**2 - 3*v**2 + 7*v**2 + v**3 - v. Let c be a(-9). Is (4\/3)\/(c\/276) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m - m - 121*m - 194*m = 0. Let g(k) be the first derivative of 1\/3*k**6 + 18 + 8\/3*k**3 + m*k - 4*k**2 - 8\/5*k**5 + 3\/2*k**4. Factor g(q).\nAnswer: 2*q*(q - 2)**2*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37488583 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1422 and 4503?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 5. Let x be p(-5). Let q be (2\/(-2))\/(-22 + 28 + -7). Let f be -5 + x + q + (-54)\/(-15). Put -5, f, 2\/5 in increasing order.\nAnswer: -5, f, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13560 and 1460856.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42585 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.4 (b) -1\/6 (c) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - -0.1. Let w = -0.43 - t. Round w to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(6\/(-2) - (-33)\/12). Let n(q) = q**3 + 3*q**2 - 3*q - 3. Determine n(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 j when three letters picked without replacement from {j: 3, y: 2, g: 2, h: 3, r: 6}.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29244518 divided by 151526.\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-22 + 12656\/576)*-2\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -192*z**7\/35 - 521*z**5\/30 + 752*z**2. What is the third derivative of s(m) wrt m?\nAnswer: -27648*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h + 5. Let r be f(4). Let g be 2\/6 - (-40)\/(-12). Let x be (g + -1)*6\/8. Is x less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77917.55 grams to kilograms.\nAnswer: 77.91755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 7*n**2 + n - 4. Let d be o(7). Let b be -6 + -13 + 6 - (-1 - d). Calculate the common denominator of 99\/10 and 1053\/(-330) + b\/(-15).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*a = -166*a - 168. Suppose -2*b + 4 = 3*m, 4*b + 8 = 8*b + 2*m. What is the third derivative of d - d + 16*d**b + 149*d**6 - 144*d**a wrt d?\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q - 29. Let b be n(-16). Suppose b - 3 = 4*z. Suppose -4*x - x - z = 0. Sort x, -1\/10, 1\/5 in ascending order.\nAnswer: x, -1\/10, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -2\/13 (c) 7452\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 14 = 144. What is the thousands digit of (-8 - 195\/r)\/((-1)\/2658)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**2\/13 + 5524*t\/13 - 3814322\/13 = 0.\nAnswer: 1381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.9 or 0.1?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116 + 153 - a**3 - 90 to u + d*a**3 + l*a + v*a**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = -2*f + 38. Let p(a) = -31*a - 4. Let v be p(-3). Let j = f + v. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, -103, -380, -925, -1828, -3179?\n\"Answer: -15*c**3 + c**2 + 3*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 559563, 1119143, 1678723?\nAnswer: 2238303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 - 12*r + 2. Let d(w) = 5*w**2 + 13*w - 4. Let o(l) = -3*d(l) - 4*x(l). Suppose -4*n - p - 47 + 20 = 0, -4*n - 17 = 3*p. Give o(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 0.5, 12, -2\/7, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -954, -1844, -3112, -4752, -6758, -9124?\nAnswer: -11844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 57*t**4 - 9*t**3 + 3*t. Let z(r) = -14*r**4 + 2*r**3 - r. Let s(o) = -2*l(o) - 9*z(o). Find the second derivative of s(w) wrt w.\nAnswer: 144*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 19*i + 1. Let x(m) = -9*m**2 - 7*m**2 + 14*m**2. What is x(u(r))?\nAnswer: -722*r**2 - 76*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.2, 5, -5\/7, -0.976, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 7*d - 4. Let p(w) = w - 8. Let c be p(12). Let g be y(c). Solve -g = -3*j - 2*t, -3*t = -4*j - 6*t + 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20377329491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 2020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1 - (-1658)\/6) + 126\/189 and 46.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5734 - 154820\/27. Which is the third smallest value? (a) -30 (b) 5\/2 (c) -5 (d) k (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*l = 3*t + 15, 4*t = -l + 3. Suppose t = -y + 4*j + 6, y - 2*j = 2. Let a = 6 - 9. Put y, 4, a in decreasing order.\nAnswer: 4, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 651 + -647. Factor -4\/5*z**3 - 4\/5*z - 6\/5*z**2 - 1\/5 - 1\/5*z**o.\nAnswer: -(z + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2\/4)*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 0 + 5\/2*a**2 - 26*a + 1\/6*a**3. What is f(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 = -1. Let h(i) = -5*i**3 + 5*i**2 + 2*i + 4. Let q(y) = -y**3. Let m(f) = h(f) - 6*q(f). What is m(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3827, -8, -12, 9 in decreasing order.\nAnswer: 3827, 9, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 70158963 to the power of 1\/3, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -11020202002202100?\nAnswer: 11020202002202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -424 + 1c60?\nAnswer: 183a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 7*h - 7. Let d be t(-6). Let g be (2\/(-8))\/(d\/(-4)). Which is the nearest to 1? (a) 2 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/32267?\nAnswer: 2\/32267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -888717 + 1320062. Suppose -5*i - r = 1133655. Round i to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2853 - 1427 - 1432 + 4*u.\nAnswer: 4*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-4)\/(-12)*(-18)\/(-42)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1193339.114 rounded to the nearest 10000?\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**2. Let r(l) = -76573*l. What is w(r(n))?\nAnswer: -17590272987*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1331) - (sqrt(1331)*-1 + 0 + sqrt(1331)) - sqrt(1331)*2*-6)**2 - 6*(sqrt(33) - (sqrt(297) - (sqrt(297) - 1*sqrt(297)))\/sqrt(9))\/sqrt(3)).\nAnswer: 224939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1055*x**2 - 53*x - 46*x - 86*x + 1757*x**3 + 185*x wrt x.\nAnswer: 10542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3))**38 assuming g is positive.\nAnswer: g**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1590 != 172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**2*u - j**2*x + 12379*u*x**3 - 21*u*x**2 + 424103*u wrt x?\nAnswer: -j**2 + 37137*u*x**2 - 42*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6.7275 times -0.4\nAnswer: -2.691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (46\/(-15))\/((90\/(-75))\/(-2)) and 67\/234?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 3630368987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 15*z + 1586 = -l, 0 = -3*z + 2*l - 4738. Is z greater than or equal to -1582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -3250051.\nAnswer: 13\/3250051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + -13 + 5 - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 745151137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Let n = 226.9 + -225.9. Let y = n - m. Which is the closest to 1? (a) 0.4 (b) y (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2611219 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7386 by -17.\nAnswer: -7386\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18211032574*k**3 - 18211032572*k**3 + 36422065150*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 656 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - (sqrt(100) - -4*sqrt(100)))\/sqrt(2))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 18*r - 48, -117*r + 5*q = -57*r - 59*r - 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123 (base 4) in base 5?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -24\/9300175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0)\/((-20)\/(-12) - 2). Let n(l) = -3*l**2 + 10*l + 1. Let w be n(3). Solve -4*y = 4*f + 4, -2*f = -o*y + w - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-3 - -6) + (-4)\/1. List the prime factors of (3 + h)*-56*(-5)\/6.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18, -30, -66, -138, -258, -438, -690, -1026?\n\"Answer: -2*j**3 + 2*j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 7) + -1 + 3 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.067 - -19.467. Let k = 8.6 + g. Let l = 27.9999921 - k. Round l to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 845?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/4 + 1 + 189. Let s = 131 - l. Let g be (-2)\/(-8) + s\/(-16). Solve y - 2*h = -g, y + 3*h - 21 = -5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12657 by 87.\nAnswer: 4219\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5236 is divided by 105.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -482872728 divided by 77272?\nAnswer: -6249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)*1)\/sqrt(11) + sqrt(35))\/sqrt(7) - ((sqrt(55) + -1*sqrt(55))\/sqrt(11) + 1).\nAnswer: -1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2. Let g(s) be the second derivative of s**4\/12 + 5*s. Determine c(f) + 3*g(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 183677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-7)*-12*126\/(-11232)*(-96)\/(-60).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*p = 3011 + 57637. Is 28 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 1 - (-3 + 12). Let s(m) = 19*m**2 - 19*m - 12. List the prime factors of s(l).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3\/3 - 7*x**2\/3 + 3589*x\/3 + 91723\/3 = 0. What is x?\nAnswer: -37, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (3 + (-5 - 2) - -18)) + (-325 - -343)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -8 - 4. Suppose 3*z = -m*d + 12, -2*z + 5*d = -0 - 8. Sort z, 3, 1 in increasing order.\nAnswer: 1, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, r: 4, e: 4, v: 6}. What is prob of picking 1 v and 1 l?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202.6144 milliseconds in minutes?\nAnswer: 0.03671024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.7 - 2.7. What is the closest to -1\/3 in -2, -5, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(2) - (sqrt(8) + sqrt(2))) + sqrt(2))*2)**2 - (sqrt(2) - sqrt(18)\/(sqrt(9)*-1) - (sqrt(18) + -4)).\nAnswer: sqrt(2) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 294?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 3*p + 6. What is the derivative of -60*w**p - 15*w - 4 + 15*w + 29*w**2 wrt w?\nAnswer: -62*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 13 - 6 - 2*s - 2*s - 4. What is n(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1793, 3517, 5243, 6971?\n\"Answer: p**2 + 1721*p + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 774910.9 milligrams?\nAnswer: 0.0007749109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 6:34 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 55 = 5*r + 39, -t = 2. Let l(g) be the second derivative of -3*g - g**r + 1\/18*g**4 + 0 + 2\/9*g**3. Factor l(q).\nAnswer: 2*(q - 1)*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -56?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -9. Let y = h - -3. Put y, 0, 0.1 in decreasing order.\nAnswer: 0.1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 0*b - 26*b + 0 - 2. Let y be n(-2). Suppose -17 - 3 = -2*m. Calculate the greatest common factor of m and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379619.\nAnswer: 41, 47, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 z when four letters picked without replacement from {p: 6, z: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 39. Let a be h(-16). Suppose a = -m + 25. Solve i - m = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 12*q + 3. Let k(t) = 11*t - 2. Let b(n) = -11*n + 3. Let s(x) = 4*b(x) + 5*k(x). Calculate 4*o(u) - 5*s(u).\nAnswer: -7*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -40332030 (base 5) to base 3\nAnswer: -121110110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -14*y**2 + 8. Let w(c) = -5*c**2 + 3. Let s(p) = 3*t(p) - 8*w(p). Let i(g) = -2*g**2 - g**2 + 2*g**2. Calculate i(s(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -346, -386, -430, -478, -530?\n\"Answer: -2*a**2 - 34*a - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-3)\/1 + -7. Let o = g - -11. Suppose 0 = 4*z + o*f, 0 = 2*f + 7 + 3. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 40 = -5*o, -2*q + 7*q - 9 = 4*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 9:13 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 12 = 5*r, -4*m + 3*r + 2*r + 4 = 0. Let g be (6 - 8)*m + (-1 - -1). Solve -3*v = 3*s - 2*v + g, 3*s + 3*v = -18 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.06, 24 in ascending order.\nAnswer: -4, -0.06, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 771.4 + -771.400020737. Round i to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3*m*v**3 - 10*i**3*m*v - i**3*v - 32*i**2*m + 1061*i**2*v**3 + 2*i**2*v - 4*m*v wrt v.\nAnswer: 12*i**3*m*v + 6366*i**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*k + t, -2*t = -5*k + 13 + 14. Let g(m) = 2*m - 4. What is g(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/9 - 11*p**3 - 1267*p**2\/9 + 2105*p\/3 - 550 = 0. Calculate p.\nAnswer: -15, 1, 3, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.056 and -691740936?\nAnswer: 691740936.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-3))\/((-8)\/60). Let y(w) = w**3 - w**2 - 4*w - 1. Let v = 11 + -8. Let c be y(v). Put 2, x, c in decreasing order.\nAnswer: c, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3638290 = -2*d - 3*d. Suppose 13*p - d = -2269458. Round p to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6032)\/143 + 2\/11. Let k be ((-7)\/21)\/(2\/s). Let h(b) = 13*b - k*b - 5*b. Let t(l) = 2*l**2. Calculate h(t(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g**4\/7 - 34*g**3\/7 + 152*g**2\/7 + 424*g\/7 + 96\/7 = 0. What is g?\nAnswer: -6, -2, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/108 and -53\/9264?\nAnswer: 83376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*j - 10222 - 3410 = 24*j + 1978 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1588, -6376, -14350, -25504, -39832, -57328, -77986, -101800?\nAnswer: -128764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 20*f. Let z be (-7 + -5)\/(-2 + f). Let p be (2\/(-10))\/(3\/5). Which is the closest to p? (a) z (b) -4\/7 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/14 + 2\/7. Solve u*x + 2 + 0 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 76, 50, -4, -98, -244, -454, -740, -1114?\n\"Answer: -2*j**3 - 2*j**2 - 6*j + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 5, c: 7}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:28 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 35023\nAnswer: 12\/35023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/5 + 7\/15. What is the third biggest value in -0.3, x, 3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38.95 + 38.75. Which is the third smallest value? (a) -2\/11 (b) p (c) -0.1 (d) 5\/6 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -243 by 7.\nAnswer: -243\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345818265.\nAnswer: 3, 5, 13, 647, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -2\/11*w**3 - 9\/11*w**2 + 18*w - 1\/66*w**4 + 0. Solve o(c) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 371, 545, 701, 833, 935, 1001?\nAnswer: 1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(8)*-3 - sqrt(8))\/(sqrt(576)*2 + sqrt(576) - sqrt(576) - sqrt(576)).\nAnswer: 5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/24)\/((-50)\/100 + 106\/192).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a5 - -1?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 199 - 41. Let w = -82 + b. What is the remainder when w is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 6. Let p be j(6). Let g be 13\/(-8) + 1\/1. Is p > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2255368.\nAnswer: 2, 281921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3454, -3434, -3402, -3358, -3302, -3234, -3154?\nAnswer: -3062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + q - 260. Suppose 0 = -8*a + 2*a. Let m be y(a). Round m to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*d*k + 3*d*t**2 + 743*d*t*v + 4*d*v + 161*k*t**2 + 327*k + 2*t**2 - v wrt d.\nAnswer: -13*k + 3*t**2 + 743*t*v + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*s + 2, 0 = 5*s - 3*x + 11 - 33. Let r be s\/4*-2*-16. Solve -3*t + 0*b - r = -2*b, -b = -3*t - 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 99?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 2*w - 120. Let q = 2 + -5. Let v = w + q. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**2 - 3*o + 11. Let m(z) = -z**2 + 2*z - 1. Let p(g) = -c(g) + 4*m(g). Is p(-22) a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78*b*t**2*y + 220*b*t**2 - 6*b*t*y - 2*b*t + b*y - b + 10195*t**2*y - 2663*t + 1047*y wrt t?\nAnswer: -156*b*y + 440*b + 20390*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (sqrt(2448) + 2 + sqrt(2448) - sqrt(2448))**2*-2).\nAnswer: 576*sqrt(17) + 29406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 11567232.\nAnswer: -5\/11567232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*y + 75 = -2*y, 4 = 4*y. Solve 5*b + 11 = 3*m + 3*b, 0 = -5*b - x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/6)\/(6*(-5)\/(-30))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2294 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.06142 + -0.4988\nAnswer: -0.56022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 56028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -341 - -636. Is v a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2700*r + 1061*r + 1640*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -107*p + 108*p + 6, 4*p + 3*z = 31. Suppose 13*x - 142 = 79. Solve -3*f + 2*f + x = 3*j, -5*f = -p*j - 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 14*k. Let m(u) = -3*u**2. What is m(b(x))?\nAnswer: -588*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 - 1)*(5625*b + 820387 - 18826*b - 820387) to o + f*b and give f.\nAnswer: 52804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((11\/(-2))\/(2\/2))\/((-2)\/(-4)). Do f and -0.0446 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 7 = 9*w. Suppose 0 = -4*h - h + 215. Let l = h + w. What is the highest common factor of 63 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/9 + (-184)\/60 and 76\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/20*215 - 1\/(-2). Let x(k) = -k**2 + 4*k + 50. Let u be x(-5). Solve -4*v = i - u + s, -5*v - 20 = i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1199.6, 3 in decreasing order.\nAnswer: 6, 3, -1199.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, i: 1, j: 3, r: 2}. What is prob of sequence ri?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 7. Let o be x(0). Let j(f) = f**2 + 3*f - 6. What is the least common multiple of j(o) and (28\/10)\/((-2)\/(-10))?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 7 = 3*w, 5*w + 5 = -3*v - 8. Suppose 0 = 3*j + i + 840, -4*j = -7*j - v*i - 831. What is j rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2406 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + 443303503?\nAnswer: 443303450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2 - 3 = -v, -2*v - 5*b - 31 = 0. Let i be 9\/36 + (-30)\/v. Let p(h) = 5 - h - 1 + 5. What is p(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1*75*92*210\/57960.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -611\/5, -3, 23209, 3.\nAnswer: -611\/5, -3, -2\/5, 3, 23209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1831 and 28576417?\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/46305 and 73\/30870?\nAnswer: 92610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -5. Let d = 1673.5 - 1674. Sort d, q, -5 in decreasing order.\nAnswer: d, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 27*w**2 + 9*w - 256. Let d(r) = 29*r**2 + 7*r - 257. Let p(n) = -3*d(n) + 2*g(n). Find the first derivative of p(l) wrt l.\nAnswer: -66*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 13*r**2 + 0*r + 1\/6*r**3 - 2 - 1\/60*r**5 + 0*r**4. Let k(j) = -8*j**3 - 10*j**2 + 8. Calculate -8*f(v) + k(v).\nAnswer: -8*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3014*g - 3707*g - 20525 + 7706 = 14065 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*u - 5, -d + 4*d - 35 = -4*u. Let b be d\/(25\/20) - 9. Let w(t) = -t**2 - 3*t + 1. Calculate w(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1\/2 (b) 4.19 (c) 74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-45) - (-416)\/1791. Let p be 5\/(-11) + 486\/(-891). Which is greater: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-6))\/(-2)*(-234)\/52?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o*y**3 + 2*o*y - 2*o + 1307*y**2 - y + 2 wrt y?\nAnswer: 6*o*y + 2614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24964*s**3 - 1255468*s**2 + 899360*s - 159936.\nAnswer: -4*(s + 51)*(79*s - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96597*d**3 - 9*d**2 + 4039036 with respect to d.\nAnswer: -289791*d**2 - 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-21) + 39\/84. Let h(o) = 0*o + 0 - 2*o + 9 - 3. Let d be h(5). Sort 5, b, d in decreasing order.\nAnswer: 5, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11514.567 rounded to the nearest one hundred?\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1754*3 + (-9 - -15). Let c = r - -9115. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m - 86 = 31*m + 2*j, -m + 28 = -4*j. Suppose b = 5*n - 226, -2*n + 60 = -4*b - 16. What is the remainder when n is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-18))\/((-66)\/(-9)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14767 - -166?\nAnswer: -14601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12158 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 2)*(2*h**3 + 42*h - 42*h) + 0*h**3 + h**3 + h**3 - h**3 + h**3 - 2*h**3 + 5*h**3 - 3*h**3 - h**3 as f*h + o*h**2 + z + u*h**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -25661 (base 8) to base 3\nAnswer: -120100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 2*j**2 + j + 7. Let d be x(3). Let t = 1 + d. Suppose -h - h = -u + 9, 12 = -2*h - t*u. Let w(s) = s**3 + 4*s**2 - 3*s - 5. Calculate w(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/(-30))\/(0 - (-3)\/(-15)). Let k(g) = 5*g - g - 9*g + w*g. Let f(m) = -13*m. Calculate k(f(a)).\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 30*d + 1924. Let m be u(-64). Solve 4*c - m*v = -8, 16 = 6*c - 8*c - 2*v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -15. Suppose 2*k - 11 + 1 = 0. Suppose 32 = -0*o + k*o - 3*x, 4 = -2*o - 3*x. Solve -o*r = -2*r + q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqu when three letters picked without replacement from faayuqu.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 21\/49591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**2)**(-29)\/((w**2\/w)\/(w*w**(1\/8))))**(2\/63) assuming w is positive.\nAnswer: w**(233\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -7*c**6\/120 - 3*c**5\/20 + 7*c**2\/2 + c. Let h(v) be the first derivative of u(v). Find the third derivative of h(y) wrt y.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79464 less than -79461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from 33.81.\nAnswer: 26.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 6*d + 3*d - 204, -5*t + 5*d = -200. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**12)*y*y)\/(y*(y*y*y\/(y\/y**(-6))*y)\/y))**35 assuming y is positive.\nAnswer: y**595","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - -0.01. Let s = 0.05 + d. Let w = -0.2 + 0.5. Does w = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1313 + -1303. Sort u, -2\/15, 3, -49 in decreasing order.\nAnswer: u, 3, -2\/15, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51*7\/(-147) - 3\/(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/39))\/l**(-5) assuming l is positive.\nAnswer: l**(236\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.08 and 58.3303.\nAnswer: 58.2503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23046211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21305301 (base 7) in base 6?\nAnswer: -102540043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28827, -28822, -28815, -28806, -28795?\nAnswer: -28782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/33 in 0.0402, 1\/4, -4, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38231*q**2*s**3 - 2*q**2*s + 15*q**2 - q*s**3 + 1495*q*s**2 - 31*s**3 + 22*s**2 - 2*s + 2 wrt s.\nAnswer: -229386*q**2 - 6*q - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3 - 8*t**2 + 16*t**2 - 12*t**2 wrt t?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3632)\/(-240) - 15 - 49\/((-11760)\/(-6752))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 - (7 + -1 - (0 - -27))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/24 and -119\/162.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -34*f**2 + 2*f. Let g(h) = 135*h**2 - 9*h. Give 2*g(p) + 9*z(p).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 - 2*s. Let a be k(2). Let t(r) = r**2. Let b be t(a). Let m be (-8 + ((-1316)\/24)\/(-7))\/(12\/(-360)). Is m smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 61348*a**2 - 7803392*a - 249184256.\nAnswer: -4*(a + 64)**2*(a + 15209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -1405, -2, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 75*z - 31*z - 51*z + 3*z + 0*z - z + 2*z - z + 0*z + (-2*z - 2*z + 2*z)*(3 - 3 + 2) to the form w + q*z and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 573*r + 1161. Give m(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 305 - 215. Is i a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(72))*3 + (-2 + sqrt(8)\/sqrt(4) - 4*(-2 + sqrt(2))))**2.\nAnswer: 540*sqrt(2) + 774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 20*j**2 + 19*j + 2. Let z be i(-19). Calculate the highest common factor of 10 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*q**2 + 6*q - 3*q**2 + 15 - 9*q**2 + q + 5*q**2 in the form b*q + y*q**2 + s and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317033?\nAnswer: 17, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/17 in 0.99, 1, 6\/163?\nAnswer: 6\/163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**4 + 13*l**4 - l + l**2 - 5 + 0*l**2 - 128*l**4 + 4*l**3 + 3 as h + y*l**2 + q*l + z*l**3 + g*l**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 8 = -2*i - 41 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 56 = -19*h. Suppose 0*t + 8 = 4*t. Solve -h = t*y - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -15. Let v = 2.2013 - 0.2013. Which is the second smallest value? (a) j (b) -3 (c) v (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3322841 - 557139. Let u = -1882702 + n. Round u to the nearest ten thousand.\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (105 - 78) - -65?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -o - 4, -3*o + 8 = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*k - 40, 4*o + 0*k + 3*k - 65 = 0. Let l = 4 + 30. Suppose 0 = l*f - 38*f + 16. Solve o = -3*u - 5*y, 5*u = -f*y - 23 - 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 107*q - 2580. Determine y(20).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**3 - 4*d**3 + 2*d**5 + (-3*d + 2*d + 3*d)*(-d**4 + 2*d**4 + 0*d**4) - 2 + 2 + 2*d**5 - 1 + 3*d**5 + 2*d**5 - 7*d**5.\nAnswer: 4*d**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 197*s**3 + 140*s**2 - s - 6. Calculate a(-2).\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -6, 5 in descending order.\nAnswer: 5, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccddccccccccdccdccc. What is prob of picking 4 c?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 2*m - m. List the prime factors of (98\/14)\/((-1)\/m).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5 = 3. Let u(r) = 6 - 9*r + 21*r**2 - 49*r**m + 29*r**2. Suppose -9 = -3*h - 3*t, -2*h - 3*h - 3*t + 23 = 0. What is u(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 12 = 3*o. What is the common denominator of (-1)\/o - (-458)\/(-120) and 89\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 3. Let i be u(12). What is the highest common divisor of i and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8665*k**3 + 64*k**2 - 7*k - 40. Let n be o(-27). What is n rounded to the nearest 1000000?\nAnswer: 171000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(495\/(-18))*1\/(-16)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 125, 34 in descending order.\nAnswer: 125, 49, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -573*n - 3*i + 23 = -571*n, 0 = 2*n + 5*i - 29 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**5 + 1528*k**4 - 147444*k**3 + 290320*k**2 - 144400*k.\nAnswer: -4*k*(k - 190)**2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Suppose -n - 15 = -3*i. What is the third derivative of -5*w**3 + 6*w**i + 5*w**3 - 2*w**6 + 9*w**2 wrt w?\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -247*o - 164 + 85 + 80 + (1 - 4 + 5)*(-4*o + 5*o + o + (3 + 2 - 3)*(-2*o + 2 - 2)) in the form f*o + m and give f.\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5159\/6 or 74\/7?\nAnswer: 74\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 9\/11 - -1. Let h = -9482 + 9234. Sort s, -1\/7, h in decreasing order.\nAnswer: s, -1\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 106, -38103, -3, 5 in increasing order.\nAnswer: -38103, -5, -3, 5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*x - 6*x - 119*x + (2 + 2*x - 2)*((-3 - 1 + 0)*(-1 + 2 + 1) + 4 - 2 - 3 + 2 - 2 + 1).\nAnswer: -162*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y + 51. What are the prime factors of s(-7)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3482, 3479, 3474, 3467, 3458, 3447?\n\"Answer: -l**2 + 3483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7161 and 0.01?\nAnswer: 71.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/60)\/((-12)\/9)*-5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 337 and 572563.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -363\/5 - -73. What is the third smallest value in 1, 0, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 (base 10) in base 15?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 37*v**3 - 2*v**2 - 22*v. Let j(x) = 73*x**3 - 5*x**2 - 45*x. Let n(q) = 5*d(q) - 2*j(q). What is the second derivative of n(u) wrt u?\nAnswer: 234*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-23)\/s)**(-39))**(6\/5))**(-1\/25) assuming s is positive.\nAnswer: s**(-5616\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4364 - 12?\nAnswer: -4376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-210))\/(28\/(-70)))\/(306\/(-357))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 199 - 1391\/7. Which is the third smallest value? (a) -1\/4 (b) q (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20467*-1\nAnswer: 20467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q + 2*q + 0*q + (3*q - 2*q + 3*q)*(-1 + 0 + 16) + (1 - 2 + 3)*(2*q - q + 3*q) as n*q + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - f + 31*f**3 + f**4 + 2 - 2 - 34*f**3.\nAnswer: f*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/30)*k**(-13) assuming k is positive.\nAnswer: k**(-391\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 32, 4, -72, -4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337426*p**2 + 337426*p**2 - 2*p - 1 + 1 - 25*p**3.\nAnswer: -25*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1454 + 824 = -734*a + 438*a + 363*a for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1004*t**2 - 2*t + 751*t**2 - 426*t**2 to the form x + p*t + z*t**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*(2*sqrt(17)*6 - (0 + sqrt(17) + 0)) - (3 + sqrt(272) + -5)*5)**2.\nAnswer: 480*sqrt(17) + 9893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2304247 by -2.\nAnswer: -2304247\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 at least 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29177921?\nAnswer: 353, 82657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1, 0.24, -4, -2\/33?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6126681 micrograms to kilograms.\nAnswer: 0.0000000006126681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115021\/10 - 11492. Suppose 0 = -16*a + 7*a. What is the common denominator of 3 - (a - -2) - 37\/(-2) and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/5, -2, 5 in decreasing order.\nAnswer: 5, -1\/5, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*l + 10 = 0, 5*p + 40*l - 38*l = 14. Solve p*q - 15*q = 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34484 and -0.4.\nAnswer: -13793.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q**5 - 2312*q**4 - 44652*q**3 - 226544*q**2 + 632320*q + 36864 = 0. What is q?\nAnswer: -36, -16, -2\/35, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-325)\/36)\/(-25) - (-1)\/(-4). Let g = -167\/37 - -8102\/1295. Let s = g + -8\/7. Put k, s, 3, -2 in increasing order.\nAnswer: -2, k, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3579 and -4710.\nAnswer: 16857090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, i: 3, e: 5, a: 2, z: 1, t: 4}. What is prob of sequence qze?\nAnswer: 5\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7796 = -4*u + 3*p, 0*p - 5847 = -3*u + 4*p. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -1\/2*u**3 + 2 + 0*u + 35*u**2 + 1\/3*u**4 - 1\/60*u**5. Calculate h(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - -11. Suppose -2*t = -4*q + w, -20 = -q + 3*t - 5*t. Let p(x) = 7 - 17*x + q*x - 8 + 4*x**2 - 3*x**2. What is p(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000018 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 111\/(209790\/3920) + (-8)\/(5 + -1)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279 - 279 - 1340*h.\nAnswer: -1340*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 858 + -914 - (-143 + 7)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7971985361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 414796093 to the nearest one million.\nAnswer: 415000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 - -4*(1 - 0\/2) is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -2*k - 5*g, -4*g = 4*k - 7*g + 103. Put k, 0, -3 in descending order.\nAnswer: 0, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5 - 536*v**4 - 3661380*v**3 - 10980904*v**2 - 10979822*v - 3659760 = 0.\nAnswer: -1224, -1, 1495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 29*q**2 - 391*q + 50. Give n(-39).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1620 and 860.\nAnswer: 69660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2807 (base 14) to base 15\nAnswer: -215d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -3. Let g be ((-1)\/y)\/((-3)\/6). Let v = 1.1 + 0.9. Which is the third biggest value? (a) g (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 - -124. Let i = r + 476. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.6 + -15.2. What is the nearest to -0.1 in 2\/23, h, -3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 825\/728 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-25) - (-576)\/80. Solve -5*c + 29 = 2*d, 11*d - f*d - 4*c + 12 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p. Let l = 27481 - 27481. Let k(n) be the third derivative of 1\/6*n**4 - 2 + 0*n + l*n**3 - 6*n**2. Calculate k(h(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**5\/60 - b**4\/8 - b**3\/2 + 2*b**2. Let p be k(4). What are the prime factors of (3*4)\/p + -2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75014\/7521 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from ychccyyptccpcpcpcypp?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*s - 16, -2*n - 4 = -4*n. Suppose -6*j = -s - 8. Suppose -2*g + 51 = -j*m - m, 2*g - 45 = m. Calculate the highest common factor of 231 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*u**5 + 4*u**3 + 2*u**2 + 213 wrt u.\nAnswer: 1440*u**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -0.077.\nAnswer: 0.00154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030474217.\nAnswer: 10289, 100153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 = -2*j - 0*h, 2*h = 8. Let i be ((-22)\/(-4) + -1)*j. Suppose v - 2*r + i = 0, 2*r + 6 = v + 3*r. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 6*i + 5\/2*i**2 + 3. Let c be (-1 - -7)\/(1\/(-1)). Let n(g) = 4*g + 5. Give c*n(w) + 5*u(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 60\/80 + -1 + 19\/(-4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 276, 620, 964, 1308, 1652?\nAnswer: 1996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -44948, -45677, -46404, -47129?\n\"Answer: m**2 - 732*m - 44217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 49870*o + 49870*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 415\/2 + -209. Let a = -1 - -1.3. Put a, 1\/7, c in descending order.\nAnswer: a, 1\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -908594\/65 + 13978. Calculate the common denominator of 8\/117 and o.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*x - 5, 2*x = 4*a - 2 - 23 + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13815355 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 value of 0 + 12 + (9 + 2 - 7 - 6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -44012 (base 5) to base 15\nAnswer: -d57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 208*p**2 - 45*p + 8. Calculate v(2).\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4 + 3 - 9*f + 2*f**2 - 7 wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(80) + -1)*1.\nAnswer: -2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6067.\nAnswer: 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1260 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, 4, 1\/2, 7\/4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/15 - 16*m\/3 - 82\/15.\nAnswer: 2*(m - 41)*(m + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 752983284 + 0.1\nAnswer: 752983284.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1377\/459*11\/(-18).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 184 in -2\/9, -1\/5, -0.1, 6, 0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2224141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 12633255.\nAnswer: 37899765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 548273521 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 6:01 PM?\nAnswer: 527","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (124\/186)\/((-2)\/(-36)). Let g(a) = a**2 - 10*a - 3. What is g(c)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69404 divided by -3\nAnswer: 69404\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2416238, 0, 4?\nAnswer: -2416238","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.25, 3, 4\/5?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -118943 - -56.03358\nAnswer: -118886.96642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 316 and 22.\nAnswer: 3476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-36)*r**(-35)\/r assuming r is positive.\nAnswer: r**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 15*x - 21 + 153 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/24 + (1143\/2 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4, 27, 88, 205, 396, 679?\n\"Answer: 3*i**3 + i**2 - i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 168\/7 - 2\/(-1) - 1. Suppose -64 + 2 = -2*v - 2*j, 74 = 2*v + 5*j. Differentiate -60*w - o + 9*w - v wrt w.\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128357.\nAnswer: 47, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35051227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = k + 2*c, 19*k - 5*c = 14*k - 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/12 + -3\/4. Suppose m = 3*o - 2*m - 6, 5*o - 4*m = 9. Suppose -5*x + k + o = 4*k, 4*k = 2*x + 10. Which is greater: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1293 is divided by 57?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6*w - 240 = 0. Suppose -w = -5*x - 0*x. Let o = x - 11. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36490 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -45*r**2 + 9. Let k(n) = 11*n**2 - 2. Give -9*k(w) - 2*s(w).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16 - 40*d**4 - 2910*d**3 + 2910*d**3 wrt d?\nAnswer: -160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 71 (b) -2 (c) 5 (d) 0 (e) 3 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10440\/(-812)*70\/15\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 10 = -3*q. Let n be (-4)\/q + (-10)\/25. Suppose -5*x - 8 + 53 = n. What is the remainder when x is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/5 of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 11*x**2 + 40*x - 10. Let o be c(-5). Let l be (216\/(-180))\/((-9)\/o). Let s(v) = 5*v**2 + 2*v**2 + 0*v**3 - 1 + v**3 - 8*v. Determine s(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, w: 5, n: 4, s: 2}. What is prob of sequence ins?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 q, and 1 t when four letters picked without replacement from emettqemeimmeqqmm.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7 - 6 = 0. Suppose i + 3*r + 2 = 0, 0*r + 50 = 5*i + 3*r. Calculate the highest common divisor of i and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/15)\/(-1)*2\/(-16)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 times -4530\nAnswer: -1676.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-6)*14 + 3\/(-1). Let i = 6 - 5.8. Let c = i - 0.3. Is x greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.49 - 172847\nAnswer: -172847.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.773 - 7.773. Which is the smallest value? (a) 391 (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/119, 3, -5804.4 in descending order.\nAnswer: 3, 2\/119, -5804.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16390 is divided by 1819.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315.0266ms to seconds.\nAnswer: 0.3150266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4) + (21\/2)\/(-3). Let o(u) = 6*u + 3. Determine o(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1644)\/8*6*(-6)\/27. Let y = 296 - o. Suppose 0 = -5*n + 4*n + 11. What is the highest common factor of y and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -114 - -30. Let c be 36\/14*y\/18. Let m = c - -26. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 + -58.48. Let y = b + 5. What is y rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 27 + 17 = 0. Solve b*f = -4*g - 16, -5*g + 5*f - 27 = 4*f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 3:50 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b**2 - 9*b - 27. Is q(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a + 4. Let d(r) = 4*r + 9. Let b = 10 + -87. Let m = b + 74. Let k be (-1 - 6\/m)*-5. Calculate k*v(w) + 2*d(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 13*s + 42. Let v be k(-5). Let m be 6 + 9 + v - 5. Solve m = 2*x + 5*f + 4, 3*x + f - 12 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*r**4 + 106*r**4 + 23*r - 79*r**3 - 4 - 13*r - r**2 - 3 - 13*r in the form b*r**3 + v*r**4 + t + m*r**2 + c*r and give b.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 14. Let b(m) = m**3 - 17*m**2 + 15*m + 18. Let k be b(16). Find the second derivative of -a + 16*a**k - 19*a**i - 16*a**2 wrt a.\nAnswer: -114*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-87)\/(-145))\/(6*(-42)\/616*4\/(-6))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -5. Let o = d + 7. Suppose u + 3*n = -12 + 2, -o*n = 4*u - 10. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 12835*u**2 + 8880600*u + 809401500.\nAnswer: 5*(u + 107)*(u + 1230)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 83, 38, -79, -304, -673, -1222?\n\"Answer: -6*g**3 - 3*g + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8*q**3 + 4 - 7*q**3 - 4*q**2 + 3*q + 2 - 2. Calculate c(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.14 in 0, 4, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(91)\/(sqrt(35)\/sqrt(5)) + 3*(5 + sqrt(26)\/sqrt(2)).\nAnswer: 12 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -1743*u**6\/20 - 15*u**4\/8 - 47*u**3\/6 + 3493*u**2. What is the second derivative of z(n) wrt n?\nAnswer: -62748*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 0 + 5\/12*z**4 + 0*z**5 + 5*z + 0*z**2 - 8\/15*z**6 + 0*z**3. What is the third derivative of x(j) wrt j?\nAnswer: -384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 b when four letters picked without replacement from bbbbibbbbbbbbbbbbb.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24.1839309 and -1443.\nAnswer: -1467.1839309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2*t**0)**(-9\/8)\/(((t\/(t\/t**(-1\/7)))\/(t*t**(3\/2)))\/(t**(2\/7))**(-6\/7)) assuming t is positive.\nAnswer: t**(29\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -140 + 210. What are the prime factors of u?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/60*(-536549)\/(-5174). Let b be (-2444)\/(-8358) - 2\/7. Let d = b - a. Find the common denominator of -7\/2 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaya when four letters picked without replacement from {x: 8, a: 10, y: 1}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-50))\/(3036\/(-600) - -5)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*a, 5 = -3*w - 4*a - 5. Suppose -3*n + 5*n + 1 = -x, -3*x = -5*n - 19. Calculate the common denominator of -2\/11 and x\/132*2*w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4683.47126 to the nearest integer.\nAnswer: -4683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75441524 and 4774780?\nAnswer: 377207620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 464 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2\/21 - 56464*n\/21 - 398522912\/21 = 0.\nAnswer: -14116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from {f: 4, y: 8, e: 4, m: 4}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, o: 1, c: 3, r: 2}. What is prob of sequence oorc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**3 + 10*f**2 - 23*f + 29. What is u(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 167014 (b) 0.3 (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 7*b**2 + 6*b. Suppose 0 = 4*f - z - 27, -3*z + 8 = 5. What is r(f)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 421 + -76?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/17 + 11740\/85. Let d = -403 + a. Find the common denominator of 79\/6 and (-3)\/(30\/d)*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f**4*y**2 + 99641*f**3*y**2 + 9064*f**2*y**2 + 31*f**2 wrt f?\nAnswer: 120*f*y**2 + 597846*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 + -115 + (1 - -2) + -30?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4. Suppose m*j = 5*j. Suppose -2*k = 3*s - 2, -2*s + 0*k + 4*k + 12 = j. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 344*w**2 - 5*w + 63. Let r(z) = -345*z**2 + 6*z - 63. Let x(h) = -5*r(h) - 6*u(h). Find the first derivative of x(t) wrt t.\nAnswer: -678*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -32.25?\nAnswer: -32.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 4. Let i(a) = -a**3 + 6*a**2 + a - 3. Let y be i(6). Sort c, y, -5 in ascending order.\nAnswer: -5, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((f**2 + 2 - 2)*(3*f + 2*f - 4*f) + (-6*f**2 + 12*f**2 + 15*f**2)*(2*f + 5*f - 4*f))*(0*f - 3*f + 4*f).\nAnswer: 64*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -3. Let a(q) = -2*q**2 + 6*q + 5. Suppose 2*l = -p, -4*l + p = -12 - 0. Let t(v) = 3 + 5*v - 1 + l - 2*v**2. Determine o*t(s) - 4*a(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 270 divided by -90\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**3 - 4299*l**2 + 12876*l - 8580 = 0.\nAnswer: 1, 2, 1430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -7 + -7 + 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -261*y**2. Let q(k) = -3*k**2. Calculate c(q(m)).\nAnswer: -2349*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.4 or -2\/443?\nAnswer: -2\/443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 1:48 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5356 by 50.\nAnswer: 2678\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1630\/6 + (800\/30)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 248028121 or 248028123?\nAnswer: 248028121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009864 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.0468 times 50\nAnswer: -2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1862*m - 18984 = 61082 for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c + 2*y = 497, 5*c + y - 501 = 0. Let l = 103 - c. Solve 5*t - 3 = -l*s, 0*s + 5*t + 25 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -17*k**2 + 1344*k - 22459. Let q be d(24). Factor 1\/8*v**q - 1\/4*v**2 + 1\/4*v**4 - 1\/8*v**3 + 0 + 0*v.\nAnswer: v**2*(v - 1)*(v + 1)*(v + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28.3 and 0.18?\nAnswer: 28.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(147) + -1 + 3)**2.\nAnswer: 28*sqrt(3) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*n + 440*n - 9468 = -527*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-21.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (5 - 3) + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.8 + -9. Let g = -368920 - -368930. What is the second biggest value in 4\/9, g, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(35)\/(sqrt(14)\/sqrt(2))*-3)**2 + (0 + sqrt(20) + 2)*-2.\nAnswer: -4*sqrt(5) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/11, -3, -725.745, 4, 1 in decreasing order.\nAnswer: 4, 3, 1, 1\/11, -3, -725.745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5163022 divided by 2\nAnswer: 2581511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/(-40) + (-6)\/5. Is s <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/(15\/(-45))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443441 (base 9) in base 2?\nAnswer: 1000000101100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 n, and 1 l when three letters picked without replacement from ltyhnthnynhnhhnn?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7641 and 189.\nAnswer: 53487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h + 65. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*c + 17 - 459*c**4 + 123*c**4 - 21*c + 72 - 16*c wrt c.\nAnswer: -4032*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.348713 centuries in months?\nAnswer: 11218.4556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x. Let k(y) = 2*y. Let p(a) = 5*k(a) - 4*m(a). Let l = 18 + -9. Let j(u) = 5*u + l + 1 - 10. What is p(j(z))?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6148*j + 45. Is k(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(-51))\/((-8)\/6)*-4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 38. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 4875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 1:41 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 144, 269, 394, 519?\n\"Answer: 125*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 894997209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1089, -4, 83, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0\/g)**(-2\/27)\/((g*g\/(g*g**(1\/4)\/g*g))\/g**(-2\/9)))**(-13\/3) assuming g is positive.\nAnswer: g**(455\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83\/14 + -45\/7. Which is the nearest to m? (a) 0.4 (b) -0.5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmzzmzzmzzzzmzzzzmzz. Give prob of sequence zzmz.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -643.\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u + 41. Let a be l(8). Let h be 0\/(2 + (4 - a)). Solve h*y = 3*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1036.672 millimeters?\nAnswer: 0.001036672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 d when three letters picked without replacement from {v: 3, t: 1, h: 6, d: 7}.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2. Let w(v) be the third derivative of v**7\/2520 - v**4\/6 + 3*v**2. Let n(j) be the second derivative of w(j). Calculate i(n(m)).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -1. Let o be (x - -6)*6\/9. Solve -o*n - 2 = 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -261.5937 - -261.7397027. Let o = u - 0.146. What is o rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/11*(-7)\/28*2.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 802780117311.11?\nAnswer: 802780117310.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 366 and 530878?\nAnswer: 97150674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 265312 + -265313. Let z be 4\/(-2) - (-21)\/9. Let q = -22 + 240\/11. What is the closest to m in q, z, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -5 (c) -2\/5 (d) -1\/5 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*p**2 + 3)*(-10 - 16 + 19) + 5*p**2 + 0*p**2 - 4*p**2 - 133 - 203*p**2 + 133.\nAnswer: -216*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94047*l*m**2*o**2 - 2*l*m*o**2 + 69*l*m*o - 3*l*o**2 - 6*l + m**2*o**2 - m*o - 3*o**2 wrt m.\nAnswer: 188094*l*o**2 + 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -9*f + 22. Let s be 8\/10*28\/56. Suppose s*m + 0 + 4\/5*m**f + 2\/5*m**3 = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, v: 1, s: 2, e: 1, a: 2, k: 4}. Give prob of sequence vs.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27804, -55847, -83878, -111891, -139880?\n\"Answer: v**3 - 28050*v + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 213 + -188. What is the remainder when 62 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r**2 + 4. Let o(y) = -7*y**2 + 5. Suppose -16*u = -14*u. Suppose 5*w - 24 = -x, -5*x + u*w + 28 = 2*w. Determine x*o(c) - 5*v(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5061*r - 30359. Give s(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 566*y + 558*y + 55*y**3 - 1124*y - 42*y**3.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 94\/(-56) - (-4)\/(-56)*-6. Let p = -9 + 14. What is the nearest to 2\/5 in p, 1\/4, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 3:59 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11588941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.0747*4.\nAnswer: 20.2988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n. Let q(c) = 118*c. Determine q(z(a)).\nAnswer: -354*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -787*q - 17837 + 4458 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10365679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 3.2. Let r = h - -1.2. Let i be -3*(-2)\/75*-5. Which is the closest to i? (a) -1\/10 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -17*b**2 - 2*b + 20. Let r be o(-10). Round r to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -585320 divided by -117064.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 2. Let m be c(4). Let l be 46\/(-60) - m\/12. Is -2 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307715023 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 12:58 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + 3*j**4 - 3*j**4 + (-j**3 + 2*j**3 - 3*j**3)*(2*j - 2*j + j) - 2*j**4 + 5*j - 5*j + 0 - 73*j**4 + 2 + 57*j**4 - j**4 + 6*j - 6*j.\nAnswer: -23*j**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 894025.89s in hours?\nAnswer: 248.340525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + w + 1. Let a(z) = 96*z**2 - 2 - 2 - 3*z - z - 129*z**2. Let u(y) = a(y) + 4*j(y). Let m(o) = -o. What is u(m(r))?\nAnswer: -37*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 69. Suppose -m + 2 = -l. Suppose -f + u + 28 = f, 52 = m*f - 4*u. What is the greatest common divisor of 6 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qccbrbvvcrvcbbbrqq. Give prob of sequence rbb.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -0.6169?\nAnswer: 4.3183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106822 - 73233. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -o - 0*o. Let w = -30 + o. Which is the smallest value? (a) -1\/6 (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 9*k**2 + 2*k - 14. Let m be c(9). What is the highest common divisor of m and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6315 divided by -3\nAnswer: 2105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 410534 - -2?\nAnswer: 410536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 23 = 109. Differentiate -24*s + 25*s - a*s + 8 wrt s.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -14, -1\/2, 5, -687?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1424577 + -0.172.\nAnswer: 1424576.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -19 in decreasing order.\nAnswer: 5, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 451*h*s**2 - h + 166 wrt s?\nAnswer: 902*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(9) - sqrt(36)\/sqrt(4)*2) + (sqrt(11) + 4*1*sqrt(11) - sqrt(99)\/(sqrt(9) + (sqrt(9) - (sqrt(9) - sqrt(36)\/sqrt(4))))).\nAnswer: 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 8*t**3 + t**2 + 3*t - 6. Let i be 19 + (-2)\/((-3)\/(-6*1)). Suppose g = i - 13. What is the tens digit of c(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(16\/((-144)\/21))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.092 - 67.908. Let c = 68.061 + g. Round c to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*23235106\nAnswer: -11617553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-8) + (-349)\/8*-2.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95.726 - 95.626. Let u = -2 + 1. What is the closest to u in q, -1, 4\/27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8799.551 from -82.2.\nAnswer: -8881.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1059283.3 + 1104278. Let v = -45190.793 + c. Let i = -196 - v. What is i rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/3 (b) 4 (c) -35 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3254, -12784, -28624, -50768, -79210?\n\"Answer: l**3 - 3161*l**2 - 54*l - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 213226 to the power of 1\/2, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(320) + 0 - sqrt(320)) - sqrt(320).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94811551.\nAnswer: 94811551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + (sqrt(1573) + 0 - sqrt(1573)))**2 + sqrt(156)\/sqrt(192) + (sqrt(1872) - (-2*sqrt(1872) + sqrt(1872)))**2 + 1 + 4).\nAnswer: sqrt(13)\/2 + 14986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b = 3. Let i be -3*1\/5*b. Let t = 3838 - 3840. Sort 2\/9, t, i, 0 in increasing order.\nAnswer: t, i, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3520622615?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -501613 + 14?\nAnswer: -501566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 31*b**3\/6 + 2*b**2 + 1747*b. Let i(k) = 1890*k + 243. Calculate 243*c(d) - 4*i(d).\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 306, 280, 238, 180, 106?\n\"Answer: -8*b**2 - 2*b + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -48 and 288882872.\nAnswer: 288882824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (142 - 58) + -227 + 83?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.887 or 7?\nAnswer: 0.887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1323\/2 - 661. Determine p so that -1\/2*p + p**2 + 0 + u*p**3 - p**4 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24735 and 25608.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**4 - d**3. Let l(b) = 2*b**4 - 2*b**3 + 10*b**2. Let i(q) = 2*f(q) - l(q). What is the third derivative of i(o) wrt o?\nAnswer: -96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 10*h + 988 = 0. Calculate the remainder when h is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -101859.94 to the nearest ten.\nAnswer: -101860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 + 73. What is the highest common factor of 209 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -359*d**3 + 11*d**3 - 109*d**3 - 45*d**3 + (0 - 5 + 6)*(-2*d**3 + 2*d**3 - d**3) to m + w*d**2 + t*d**3 + p*d and give t.\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 981281.9 years in centuries?\nAnswer: 9812.819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.211 + -0.059. Let w = -287 + 286.9. Is w at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.08, 116\/21, 82\/3?\nAnswer: 116\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -7)*(-14)\/(-6). Let j(a) = a**2 - 5*a - 1. Is j(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -37, 345, -1045 in ascending order.\nAnswer: -1045, -37, -4, 345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -319 and 209.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.039 - 3.039. What is the nearest to -0.1 in u, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z**2. Let k(s) be the first derivative of -2*s**3\/3 - 2. Let g(j) = -7*k(j) - 2*l(j). Let w(x) = -3*x**2 + 0*x**2 + x**2 + 3*x**2. Give w(g(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 + -59. Suppose n = -5*f - 9, m*f = 4*n - 12 + 4. Let r(h) = 292*h**2 + 1. Is r(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**4 + 0*t**3 + 0*t**3)*(3 + 2 - 3) + 2*t**4 - 14*t + 13*t + 12*t**4 to the form i*t**2 + j*t**3 + y*t**4 + m + d*t and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1280 and 384?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + x + 5. Suppose 3*k = 5*k + 12. Is l(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(80)\/sqrt(8)) + sqrt(2))*3.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3) + 203404\/(-37455). Let j = z + -132\/227. Let t = 72\/11 + j. Which is the smallest value? (a) 3 (b) t (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323.4 + 8.\nAnswer: 331.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**3\/2 - 11*g. Let i(r) be the first derivative of r**3 + 2. Calculate i(k(y)).\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 5:24 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*b - 30, -b + 30 = 2*f + b. Suppose 0*o + f = 2*o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 100706675*y*z**2 - 2*z**2 - 3*z - 729620 wrt y?\nAnswer: 100706675*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -71, -49, -3, 73, 185, 339, 541?\n\"Answer: f**3 + 6*f**2 - 3*f - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5758, -11563, -17372, -23185, -29002?\n\"Answer: -2*t**2 - 5799*t + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 27*v + 23*v + 4, -4*v - 8 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b**2 - 14*b**2 - b**2 + b**2 + b. Determine a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -9.4. Let i = u - 0.5898. Round i to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 138 and 99217492?\nAnswer: 297652476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.187 - 4.187. Let d = 1 - 1.5. Let s = d + 0.1. Which is the nearest to -0.2? (a) 0.3 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4568)\/(-24) - -2*(-2)\/12. Calculate the greatest common factor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36127*p**2 + 2*p + 81383?\nAnswer: -72254*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 11. Is -3 + -3 + w + 39 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32a54 - 8?\nAnswer: 32a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s + 4*s + 2 - 1 + 8*s - 17*s in the form t + o*s and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9527, 38506, 86931, 154802, 242119?\n\"Answer: 9723*o**2 - 190*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 = 4*q, -3*y + 25 = q + 4*q. Let c be (14\/10)\/(3\/y). What is the highest common factor of c and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-24)\/36 + 1*72638. Let z = 127634 - r. What is z rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 234.1 + -233.1. What is the nearest to x in 1\/2, -5, -2, -0.36?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 663, 817, 1185, 1875, 2995, 4653, 6957, 10015?\nAnswer: 13935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -831 = -n - t, 5*n - 1505 - 2700 = 5*t. Let q be (6\/15)\/(n\/(-1330)). Suppose -4*k + 2*x - 14 = 0, 4*x = 3*k + 5*x - 2. Is k smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.84143221 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 1433*z + 281354. Give c(175).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**2*n**2 + 23*j**2*n*q + 4*j*n**2*q + 2*j*n**2 + 5*j*n*q + 5*n**3*q wrt n.\nAnswer: 4*j**2 + 8*j*q + 4*j + 30*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2 - 2*d**5 - 2*d - d - 2 - 3*d - d**3 - 3*d**4. Let c(k) = -k**5 - 3*k**4 + 4*k**2 - 5*k - 1. Let n(z) = 3*c(z) - 2*l(z). Factor n(f).\nAnswer: (f - 1)**4*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**7\/105 + l**6\/60 - 13*l**5\/30 - 25*l**4\/12 - 4*l**3 - 812*l**2. Factor a(m).\nAnswer: 2*(m - 4)*(m + 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36345 is divided by 18164.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87 - 81 - 74 + 244 - 2497*n)*(-2*n + 3*n + 0*n).\nAnswer: -2497*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2178*k**2 - 10891*k + 7. Let c be j(5). Suppose z + 20 = 6*z. Solve 4*q = 2*s + 26, c*s = -z*q - 0*q + 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5)**(1\/9)\/((r\/r**(-3\/5)*r)\/r**(-2)) assuming r is positive.\nAnswer: r**(-182\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-50))\/((-5)\/(-10))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 108 = -2*i + 4, 260 = -4*k - 5*i. Let d = k - -114. Let h(w) = 7*w**2 + w + 1. Let y be h(-2). Calculate the greatest common divisor of d and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48.9 + -51. Let p = 1.97 + r. Let t = 0.2 + p. What is t rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 = -v - 4, -2*v + c = -5. Let f(i) = -i + 2*i + v*i. Let x(b) = -b. Give f(x(d)).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.1 + 0.24?\nAnswer: 250.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 140668 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/36 - (-306)\/(-12))\/(68\/255).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89295?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.9 + -1.891. Let h = 14.009 - g. What is the closest to 0 in 2\/13, h, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187356 = -47*c + 262857. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - y. Let u be -3 - 15\/(-6) - 31\/(-2). Suppose -3*g = -y*g - u. Is g < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 23 (c) -6\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -4*j - 5*g, 5*j - 5*g - 87 - 58 = 0. Let a = j - -18. Let y = -47 + a. Is y < 3\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 5:56 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15729 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337669 (base 11) to base 9.\nAnswer: 1007802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 47?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from nnnntqocct?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = t + 8*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-1 + 3 - -1). Let f be -1*7 - (-3 - r). Let x(m) = -6*m + 3. List the prime factors of x(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 6*a - 6. Let o be u(5). Let s = o - -11. Let k = -0.6 + 0.2. Put s, 0.1, k in descending order.\nAnswer: 0.1, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*g**4 - 5819*g**3 - 161560*g wrt g?\nAnswer: -120*g**2 - 34914*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2428479?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*b**2*p**2 + 2*b**2 + 323*b*p**2 - 2*b*p - 2025*p**2 + 5498671 wrt p?\nAnswer: -146*b**2 + 646*b - 4050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1)\/(470\/(-30) - (12 + -28))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -3*u**4\/8 + u**3\/6 - 6*u**2. What are the prime factors of m(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 7. Let h = -4 - -6. Let z = v - h. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4786*s**2 + 114*s - 366. What are the prime factors of n(3)?\nAnswer: 2, 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10 + 44425\/30*51\/7565 and 31\/890.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 29551 = -4*q + q, 0 = -5*q - m - 49249. Round q to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -586 or 282?\nAnswer: -586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4736 + 4734 - 4*j + 4732 - 14202.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1700596501?\nAnswer: 19, 1607, 55697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h + h + 2*h + (-2*h - 3*h + 7*h)*(-1616 - 1279 - 616 - 659))*(2 - 4 + 1) to g*h + y and give g.\nAnswer: 8342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**9\/30240 - i**8\/5040 - i**7\/2520 + i**5\/12 - 3*i**2. Let r(l) be the third derivative of m(l). Factor r(w).\nAnswer: -2*w*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 11*f**3 - 131748*f**2 + 131748*f**2 + 5.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*n - 33 = 6, -2*n = q - 9. Let g = 43 + -21. What is the greatest common factor of q and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 10:13 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 2213303?\nAnswer: -2213312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7735 - 7660. Calculate the remainder when 1123 is divided by i.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 + 100 - (2 + 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -282021 in 4, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*b = 1484 + 3977, -4*b + 6865 = -5*o. Let d = -462 - o. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3143*2.864\nAnswer: 6.6281552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*a - 11. Let c(b) = 2*b**3 + 4*b**a + b**2 - b**3. Is c(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5313*f - 23. Let d be (5 + -3)\/(-4)*4. Is i(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 12 = -4, 5*g = 2*i + 8. Suppose g = -a + 1. Let y be 7\/(-28) + 9\/4. Which is bigger: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 67, 129, 179, 211, 219?\n\"Answer: -d**3 + 69*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (6 + -12) - 5) + 33 + -3\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3609 - -3615. What is the third smallest value in -5, -2, b, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 6755?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -0.5. Let f = 83 - 79. Which is the nearest to 1\/7? (a) -4 (b) f (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22816 and 20645536?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -6 + 1 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 878670958 by 5.\nAnswer: 878670958\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*((-24)\/(-210))\/2. What is the biggest value in 1\/7, 0.37, 1\/3, s?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 6:36 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/19))**(-48\/7) assuming c is positive.\nAnswer: c**(192\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 0) + 1 + -1. Let m(v) = -v - 3. Let l be m(-3). Let p = g - l. Solve 4*w - 2 = p*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**4\/15 - 14*c**3\/15 + 12*c**2\/5 - 12*c. Factor r(w).\nAnswer: 4*(w - 6)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**2 + p**2 - p**2)*(-2*p - 4 + 2 + p).\nAnswer: -6*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80511553.\nAnswer: 4679, 17207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 59671 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = 6*o + 3510. Let t = -252 - o. Calculate the highest common factor of t and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 12*n - 20. Let f be k(-10). Let h be -1*(-1 - -2)*f\/8. Solve 4*b + 23 = 5*y, -5*b + 0*b = h*y - 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1526551990 is divided by 952.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z. Let g(o) = -26*o - 5. Determine -g(x) - 5*h(x).\nAnswer: 16*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(1740\/(-575) - -3).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 620 divided by -2\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 4, 5*q - 3*a - 116 = a. Is q a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, l: 2, x: 1, z: 3, g: 1}. What is prob of sequence rrrr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 9:29 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110.1 - -105. Let h = -0.1 - p. Let a = h - 5.61. Round a to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1844?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*75*30\/(-1050)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 22 - 20 = 0, 0 = -w + 3*o + 17. Let p = -1 + 0.3. Let j = p + 0.8. Which is the nearest to j? (a) w (b) 3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2471 = i - 399, a + 555 = 4*i. Let m = -571 - a. Determine n, given that 0*n - 2\/3*n**3 + 2\/3*n**m + 0*n**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -218*j**4 + 84?\nAnswer: -872*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 + -1.1. Which is the smallest value? (a) l (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -1, -7751, 2 in descending order.\nAnswer: 5, 3, 2, -1, -7751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -294.\nAnswer: -294, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*s + 14*s + 3*h + 1, -3*s + 1 = -4*h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 1:26 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106065469 is divided by 1046.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2384 and 53\/745.\nAnswer: 11920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x. Let m be x - (1 + 0 + -1). Calculate the remainder when 4 is divided by 2 + ((-2)\/(-2) - m).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54.46 and -7.16.\nAnswer: 389.9336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25369540585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 276 + 2?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 13*f**2 + 35*f - 288. Let p be h(14). Solve p = 3*k - 3*b, 0*b + 4*b = 3*k - 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20717?\nAnswer: 20717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (28\/56)\/((-26)\/8)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 199*b - 1352. Calculate l(8).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a minute in seconds?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3762.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 15af0?\nAnswer: 15aed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -453102022*n**2*s*u**3 + 157037*n*s*u**3 + 2*n*s*u**2 - 4*n*s - 37*n*u**3 - n*u**2 wrt n.\nAnswer: -906204044*s*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011077074 to 5 dps.\nAnswer: 0.01108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/574 and -63\/16.\nAnswer: 4592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3847064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from {s: 2, w: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/(52\/(-420))*54\/(-18). Which is bigger: t or 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206924 = -5*z + 58076. What is z rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-26 - (13 - 35)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 120\/(-57) + (-2)\/(-1). Let x = -5.6 - -0.6. Which is the second biggest value? (a) 0.3 (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/4202 and 68\/18909.\nAnswer: 37818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2449\/93)\/((-4)\/2) and 1\/31?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(4*a - 2*a - a) + 2*a + 2 - 2.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 - 98 - 112 = -122*q. Calculate the lowest common multiple of 2048 and q.\nAnswer: 2048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6958649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8) - 17\/((-136)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1228049850 to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*w**5\/5 + 13076*w**4\/5 - 38236*w**3\/5 - 4595924*w**2\/5 + 836808*w\/5 = 0 for w.\nAnswer: -17, 0, 2\/11, 21, 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 617*(-5)\/(-210)*-3. Let d = x + 89\/2. Let m be 2\/(-18)*(-2 + -4). Which is the third smallest value? (a) m (b) d (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*s - 2*s + 2*s)*(0 - 1 + 2) + s - s - s)*(-3 + 31 - 7).\nAnswer: -84*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1 + 3 - 4 - 5*f + 6 + 1. Let x(q) = 2*q - 3. Calculate -6*t(n) - 10*x(n).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or -2582166?\nAnswer: -2582166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48)\/(-21) + -2 - 1780\/(-140). Calculate the greatest common divisor of z and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 11\/4 + (-7)\/4. Let q be (3\/9)\/((-1)\/(-9)). Suppose b - 4*z = 12, 0 = -q*b + 2*b - 3*z - 16. Sort b, -3, u.\nAnswer: b, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9093 + -9078. Solve 5*n = -5*i + o, 0 = -i - 11 + 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31860 + -31859. Let r = -2.97 - 0.03. What is the closest to 2 in r, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 297376 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 360*w + 8. Let v be a(2). Suppose -u + v = u. What are the prime factors of u?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**3 + 2*w**2 + w. Let y be (-2)\/(-7) - (-10)\/14. Let l(b) = -39*b - 775. Let i be l(-21). Let p be (-33)\/i - y\/4. What is h(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -4) + -3 + 3. Suppose a*b + 15 = 0, 4*p + 81 = -b - 0*b. Let l = 103 + p. Calculate the highest common factor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/(-74)*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53125397131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -50557, -101116, -151677, -202240, -252805, -303372, -353941?\n\"Answer: -v**2 - 50556*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 8*k**2 - 9*k - 15. Let a be p(-7). Which is smaller: a or 4\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12\/25 of a tonne?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 10.57. Let l = b - 0.07. Let n = l - 0.367. What is n rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 + 277*x**2 - 5*x**3 - 273*x**2 + (613 - 613 + 22*x**2)*(-2*x - 2*x + 3*x).\nAnswer: -25*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -4975.\nAnswer: -4975.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 7*s**2 + s + 6. Let w be f(-7). Let y = 752585\/712 + -1057. Let v = -14593\/2136 - y. Which is greater: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124995986 plus 0.50317?\nAnswer: 124995986.50317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-five halves of a millennium?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g + 4 = -w, w - 2*g = 8. Suppose -34 = -3*a + 5*f, 0 = 5*a - 5*f - w*f - 60. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*k = 87251, -4*w + 86*k - 88*k = -87202. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4418\/(-8836))\/(3\/(-9) - 8\/(-6))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 549 times -0.031\nAnswer: -17.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-416000)\/(-1456))\/(-200)*(-84)\/(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - t + 3. Let n(b) = -12*b**3 + 19*b**3 + 9*b**3 + 7 - 2*b - 13*b**3. Give 4*n(a) - 9*o(a).\nAnswer: 3*a**3 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -16571.7 (b) 0.1 (c) 2\/13 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42677 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9287c - 3a?\nAnswer: -928b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65\/36 - -2515\/396. Calculate the common denominator of 27\/19 and v.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7638\/(-27132)*-374 - 109.\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(21) - sqrt(84)*-2)\/(sqrt(30)\/(-2*sqrt(10) - sqrt(10))).\nAnswer: -90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -7. Suppose -a*j - 21 = 4*n + 298, -5*n + 184 = -3*j. Let i = -31 - j. What is the remainder when i is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (1 + -15 + 4 + -30)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = 4*c + 4*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -55 + -cb30?\nAnswer: -cb85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84406055?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 445\/25 - (-2)\/10. Solve -6 = 4*v - y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*p - 135*p - 1602 - 1362 = 0 for p.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04 + -432283.\nAnswer: -432283.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-6) + (0\/(-2))\/(-2). Is 1783\/7 - f - 8\/(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 4*z - 4, -760*k - 3*z + 3 = -763*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or 104210?\nAnswer: 104210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 20*x**2 - 20*x - 6. Let d(s) = s**2 + s + 1. Let w(g) = 4*d(g) + 2*m(g). What is n in w(n) = 0?\nAnswer: -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21824, -1, -4, 395 in decreasing order.\nAnswer: 21824, 395, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2190.1874 to the nearest 10.\nAnswer: -2190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 4:59 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = u - 6, -3*u - 2*t + 12 = -6*t. What is the third derivative of -w**2 + w**5 + u*w**2 + 2*w**2 + 0*w**5 wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -120, 5, -12, 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from scsvj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 548 and 4284949.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157516126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 22. Let g(j) = -2*j - 2. Let l(a) be the first derivative of a**2\/2 + a - 59. Determine z*l(b) + 3*g(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8 - 24 - 2*p**5)*(-4 + 19 - 1).\nAnswer: -28*p**5 - 252","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318658435.\nAnswer: 5, 863, 73849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 0 - 12\/4. Let l(k) = 3*k - 1. Let f be l(c). What is the derivative of f*g**4 - 6*g**4 + 5*g**4 - 1 wrt g?\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -6)\/((-2)\/(-2)). Suppose -3*h - s - 17 = 0. Let a be (-9)\/(-6)*(4\/h - -2). Solve 4*t + 20 = -4*f, -f = -a*t + 6*t + 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*r**3*u**2 - 2*r**3*u - 293*r**3 - 20512*r**2*u + 2*r*u**2 wrt r?\nAnswer: 18*u**2 - 12*u - 1758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 293 + -292. Which is the closest to -0.089? (a) x (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80\/25)\/(35*99\/11550)\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 4\/33*c**3 + 13\/11*c**2 + 20\/11*c + 35 - 1\/22*c**4. Determine r so that y(r) = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 - 8*v**2 - 6*v**2 + 8*v**2 + v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7674818 or 7674839?\nAnswer: 7674839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1922*w**5 - 179*w**3 + 686*w**2 - 61 wrt w.\nAnswer: -115320*w**2 - 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h + 34. Let a be m(0). Let n = -9 + a. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-3 + 15 + -2). Let o(k) = k + 10. Let v be o(m). Calculate the highest common factor of v and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -36*d. Let y(q) = -q. Let a(j) = 2*v(j) - 66*y(j). Let w(o) = 13*o. Suppose 2*x - 4 = -5*z - 9, 3 = 3*z. Give x*a(u) - 3*w(u).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1221 and 777?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.4 + -1.4. Let w = -7.05 + v. Sort -1\/6, 2\/11, w in decreasing order.\nAnswer: 2\/11, w, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b. Let f(y) be the third derivative of 0*y**3 + 5\/12*y**4 + 0*y + 10*y**2 + 0. Calculate v(f(d)).\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-5 - 5\/10*-6). Solve 5*f + d*f + 11 = 4*i, i - 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 16 = 0, g - 388*z = -385*z + 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n. Let w(q) = q**2 - q + n - q - 8 + 5*q. Does 16 divide w(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 11*v + 65 = 3*i, 0 = 4*i + 3*v - 96. Calculate the greatest common divisor of i and 432.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddydyd. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22135739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 4*s + 128, 4*w - 4*s = -s + 124. Let o(h) = -h**2 + 25*h - 8. Let f be o(6). Let p = 215 - f. What is the remainder when p is divided by w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*t = -13*t - 35 + 193 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 5*q + 1. Suppose k + 13 = 3*r, 3*r = -0*r - k + 5. Suppose -d + a + 7 = d, r*a = -3. Give x(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2847476 - -1617476. Round g to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4751230672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = a + 104 - 6, 0 = 3*r. Let m = 322 + a. What is the highest common factor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401397127.\nAnswer: 23, 37, 471677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -109, -86, -43, 26, 127?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -455, -1448, -2441, -3434, -4427?\nAnswer: -5420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3528, -3527, -3526, -3525, -3524, -3523?\n\"Answer: t - 3529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 8361*d - 218029. What is k(-26)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1817 - 1417 = 67*q + 80*q for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9918.\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 - g**2 + 1. Let m be d(-1). Let h be (m - 1)\/((-5)\/5). Let w = h + 4. Solve x + w*c + 10 = c, 0 = -5*x + 5*c - 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 416, 1809, 4080, 7187, 11088?\n\"Answer: -7*d**3 + 481*d**2 - d - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uua when three letters picked without replacement from {u: 3, c: 1, v: 5, a: 6, t: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 9:25 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 10532*r + 10493*r - 3544*r**2 - 21025*r.\nAnswer: -3544*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 13 - 7 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32353.\nAnswer: 32353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 77854248179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14 - ((-3 + -2 - -17) + 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7749368161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (2*sqrt(228) + sqrt(228)))*-6 + sqrt(228)*-2*1)\/(-3*sqrt(768)*2)*-3.\nAnswer: 5*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 + (0 - -4) - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 11245541.\nAnswer: 5\/11245541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 12:22 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*n - 13 = 0, 0 = 4*n - 7*n + 15. Let i be (-2)\/((-27)\/(-33) - v). Suppose 76 = -7*z + i*z. Calculate the remainder when 37 is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2182*o - 1285 + 1285 + 3*o**3.\nAnswer: 3*o**3 - 2182*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 160 = -4*k, -3*v + 32 = -4*k - 96. Let x be (-8)\/v - 68\/24. Suppose -3*p + 27 = 4*r, p - 3 = 2. Sort r, x, -2, 5 in descending order.\nAnswer: 5, r, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.3 in -3, -0.03, 3.5, -2, 0, 1961?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2919352 - 5838711 + 2919359 - 5*y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01582 to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3\/4 - 3\/4*u - 3\/4*u**2 + 3\/4*u**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x + 7. Let d be o(-1). Solve -3 = -d*j - i + 12, -4*j = 5*i - 33 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1121153044 + 34?\nAnswer: -1121153010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - 2 + 2 + (0*k + 0*k + k)*(-k + 1 - 1) + (3 - 4 - 3)*(0*k**2 + k**2 - 2*k**2).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30, -83, -158, -249, -350, -455, -558?\n\"Answer: x**3 - 17*x**2 - 9*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + 0*a - a)*(0*a**2 + 0*a**2 + 2*a**2) + a**2 - 23*a**3 - a**2 to the form s*a + q*a**3 + k + u*a**2 and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1564298816 and 0.112.\nAnswer: -1564298815.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2. Let r(i) = 451871*i. What is r(q(g))?\nAnswer: 903742*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(3\/(-1575)) + 3. Suppose -2*m - 2*m + b = 0. What is the greatest common divisor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111792 is divided by 37261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -w + 38. Let h(m) = -35 + 1338*m - 671*m + m**2 - 671*m. Let k be h(-7). What is the highest common divisor of w and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 6*a**2 + 14. Determine h(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 1*sqrt(405) - 2*sqrt(405)*4) + -4)**2.\nAnswer: 126*sqrt(5) + 19846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 334348630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + (3 - -2 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**4\/24 - w**3\/2 + 3*w**2. Suppose -x + 1 + 4 = 0. Let d be f(x). Solve o = d, -3*o - 5 = 3*u - o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5\/2 + 289*z**4\/2 - 4181*z**3\/2 + 18399*z**2\/2 - 12708*z + 5454 = 0. Calculate z.\nAnswer: -303, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -632 + 618. Let f = 147.4 + -162. Let r = v - f. What is r rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 3*i - 3*i)*(4*i**2 + 2*i**2 + i**2).\nAnswer: -21*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -10. Suppose v*l = -2*l + 12. Let y be (112\/32)\/(7\/8). What is the highest common divisor of l and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*g - 4*s + 67, 0 = 3*g - 2*s - 73. Solve -g*u + 3 = -30*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbibbbibaihicai. Give prob of sequence hb.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*15905.1277\nAnswer: -7952.56385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*r = 12*r. Solve r + 5\/3*d**2 + 2\/3*d = 0 for d.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3 + -2*sqrt(200) - sqrt(200) - sqrt(200)) + -3 + sqrt(200) + 0 - (sqrt(200)*6 + -1 + -5)*4)**2.\nAnswer: -10260*sqrt(2) + 146161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 308040980 and 16?\nAnswer: 1232163920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times -0.044?\nAnswer: 0.00572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/2 + 83*q**3 - 7213*q**2\/2 + 13446*q - 13122.\nAnswer: -(q - 81)**2*(q - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 21*i**2 - 13*i + 192. Let l(x) = -10*x**2 + 6*x - 97. Let b(p) = -13*l(p) - 6*r(p). Let q(o) = 2*o**2. Give b(q(u)).\nAnswer: 16*u**4 + 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 u when three letters picked without replacement from {u: 3, w: 8, i: 5}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8 take away -47894.51?\nAnswer: 47901.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*w - 167693 = -12547, 31022 = -g + w. Let z = g - -6026. What is z rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33300440 (base 5) to base 16\nAnswer: 46fb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 17454000 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*r + 1 = -184*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, r: 2, f: 1, u: 2, q: 1, w: 1}. What is prob of sequence ruwu?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, o: 1, s: 4, c: 2, z: 6}. What is prob of picking 1 c, 1 s, 1 o, and 1 g?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 - (46 + -87 - -187).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2237\/8 - 2512\/9. What is the common denominator of 26854\/6960 + (-7 - -2) and h?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -43. Let x be (-35)\/2*4\/(-5). Let d be x\/t + 5\/10. Do 0 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, -0.025, 3\/7, 1\/2, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8794 - 8795.03. Which is the closest to -2? (a) l (b) 0.22 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 12 = 3*x, -3*l + 2*l + 5*x = -20. Suppose -4*f + 7 = -r, r + f + l*f - 18 = 0. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14d59c2 (base 14) to base 15.\nAnswer: d66014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 + 1. Let v be u(1). Suppose -2*d = 3*l + 19, -5*d - 47*l + 42*l = 35. Let p be (-4)\/3 - 3\/9. Sort v, p, d in decreasing order.\nAnswer: v, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -56*c - 19. Is w(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1599*k. Let w(g) = -4*g**2. Give s(w(p)).\nAnswer: -6396*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 461311.33\nAnswer: -2306556.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -25*r - 11. Suppose 2*h - 7 + 25 = 0. Let a be t(h). Is (-9)\/12 - a\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 148, 282, 414, 544, 672?\n\"Answer: -s**2 + 137*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*s - 60 = 81*s - 30*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 s when three letters picked without replacement from uuuuzuumumssszu?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -43243551*j**5\/4 + 1848015*j**4\/4 + 21608613*j**3\/2 - 923945*j**2\/2 + 26325*j\/4 - 125\/4 = 0?\nAnswer: -1, 5\/351, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2800, -4, 5\/3, -0.3 in ascending order.\nAnswer: -2800, -4, -0.3, 5\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 139215 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 3*f + 1. Let o be l(-4). Let i = 178 - 166. Let r be ((-5)\/(-2))\/((i\/(-16))\/(-3)). Sort o, 4, r.\nAnswer: 4, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 less than 5220191715?\nAnswer: 5220191772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 36739350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + sqrt(85)\/sqrt(5))*1*5)**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165 - 488. Let m = c + 460. Does 34 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + -5)*(1 - -6). Suppose 5 = 4*r - i. Let p be 1\/(r\/12) - 0. Which is smaller: p or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*b + 3*b. Let g be (-3)\/b*3\/68. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2511367?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + 1 + -1537 + 1441?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/18 + 5\/18. Let u = -0.3 - -0.5. Which is the third biggest value? (a) 2 (b) 3 (c) j (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -14351?\nAnswer: 14346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 12. Let i be w(-15). What is the units digit of (-1)\/(-3)*i - -18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -28, -41?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30403 a multiple of 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 194 = 4*n - 253, -3*u - 99 = -9*n. Let s = -5 - -8. Let m = -4 + s. What is the nearest to -1 in -3, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1.23?\nAnswer: 1.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*((-30)\/28 - (-36)\/(-84)). Suppose -u*m - 116 + 116 = 0. Solve 3*x + r - 7 = 5, m = r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m - 15. Let q(x) = -5*x + 15. Determine -4*h(b) - 5*q(b).\nAnswer: b - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 806138614 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(x - 4*x + 4*x) - 162*x - 56*x + 220*x + 530*x.\nAnswer: 531*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 21*w**2 + 3*w - 9. Let y be (-3)\/66*-4 - 513\/99. Is r(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/13765 and 38\/8259.\nAnswer: 41295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 10124122?\nAnswer: -10124124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -500 divided by -2?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 17*w**4\/24 + 96*w**2. Let o(m) be the first derivative of -m**3\/3 - 8. Give u(o(v)).\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-502)\/6 - (-4)\/(-12). Let p = z - -124. What is the remainder when p is divided by (-1 - 0)*(-13 - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -1075*m**2. Let i(n) = -3*n. What is i(l(b))?\nAnswer: 3225*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -3 + 2 - -31. What is the greatest common factor of m and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(80)*2 + 5 - (sqrt(5) + sqrt(15)\/sqrt(3) + sqrt(5) + 0)*1.\nAnswer: 5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 21*f - 61, -2*f + 98 = 154*c - 150*c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1820 divided by -121\nAnswer: -1820\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 2606*n + 28649. Calculate x(-11).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73993 - 46832. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from bccnqqnnbjqq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16624999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -511*f**2*q**3 + 121*f**2*q + 423*f**2 - 23675*f + 5*q with respect to q.\nAnswer: -1533*f**2*q**2 + 121*f**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.767 and 0.1691.\nAnswer: 1.9361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = h - 2*z, -z - 7 = 3*h - 10. Solve h = 20*t - 12*t - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.73 * -2.2.\nAnswer: -3.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 402*n - 1 - 8*n + 112*n.\nAnswer: 506*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4884 and 418988.\nAnswer: 13826604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 9) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 bigger than 1427\/82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1345520 and 8201.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 3*z**4\/4 - z**2\/2 + 13. Let h(w) = -w + 4. Let n be h(8). Let d = n + 3. What is p(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 16. Let r(w) = 2*w + 33. Let q(n) = -427*n - 2557. Let c be q(-6). Give c*z(u) + 2*r(u).\nAnswer: -u - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12792 and 4387.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppp. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 12:12 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 140. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16560 (base 10) to base 3\nAnswer: -211201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8)*((-10752)\/140)\/(-48)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200308095 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*v - 20*v + 2. Let m be 10\/(-4)*(4 + (v - 40)). Solve -m*a + 83*a = 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150691 is divided by 554.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4214766, 4214754, 4214740, 4214724, 4214706, 4214686, 4214664?\n\"Answer: -x**2 - 9*x + 4214776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.7 and -0.0565572?\nAnswer: -0.15270444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -1 + -1 + -7. Suppose -60 = -4*h + 2*c, 0 = -c - 0*c - 2. Let a = h + k. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3190679884 plus -0.27827?\nAnswer: -3190679884.27827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 327.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 571*o - 78*o - 119*o + 778*o + 1 to l*o + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2528*b - 3*t = -2533*b - 48, -2*t = 66*b + 176 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 1*1\/(-1). Suppose 4*x - 8 = -0*x. Let s be (-1405)\/((1 - x)*(-1)\/u). What is s rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.794084552 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)*v)**(-2\/13))**(9\/5) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/54 and 11\/42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*o, 5*f + 12*o = 8*o + 19. Suppose 5*i - 3*y - 318 - 304 = 0, -4*y - 382 = -f*i. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*g**4 - 157*g - 1192.\nAnswer: 24*g**3 - 157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 - 42. Suppose -50*p = -65*p. Solve p = -13*m + r*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -11 - 4*z**2 - 2*z**3 + z**3 + 7*z - 2*z**2 - 2*z**2. Let j be b(-9). Suppose -2*u = -j*u + 10. Solve -l - 6 = u*o + l, -4*l = o + 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 4*h + 1 = -2, 1 = f - h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200322 and 10649376?\nAnswer: 330130656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2764 + 5073. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89 - 39 - u - 4)*(-3*u - 1 + 2*u + 2).\nAnswer: u**2 - 47*u + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 192 + -190. Find u such that 331*u**2 + 10*u - 10 - 326*u**b + 10*u - 15 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61618 (base 10) to base 5\nAnswer: 3432433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-12\/7)*l\/(l\/((l\/l**40*l)\/l)*l) assuming l is positive.\nAnswer: l**(-292\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 11112*l**2 + 2*l - 2. Suppose -4*w = 5 + 7. Let x be c(w). What is x rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4)*(-24)\/9. Suppose 78 = w*h - 2*t - t, 30 = 2*h + 3*t. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/6 + 357721*x\/6 - 357719\/3.\nAnswer: -(x - 357719)*(x - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -18*d + 217. Solve -m + 0 = 3*h + 3, -4*m + d = -2*h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8225 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -u + 5*u. Let s be 2\/((-1)\/(u\/3)). Suppose -s*v + 9*v - 345 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396492 is divided by 165?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x. Let u(a) = -a**3 + 10*a**2 + 9*a + 25. Let o be u(11). Suppose 0 = -5*f + 13 - o. What is s(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*h = -j - 16, 5*j + 5*h - 20 = 0. Let i = 0 + j. What is the second derivative of -p + 4*p**3 + i*p**3 - 2*p**3 wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 83? (a) -0.1 (b) 1\/4 (c) -4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqaaaaqaqaqaaaaaaaa. What is prob of picking 1 q and 3 a?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.1 + 377.1. Let l = k - 366.99999831. What is l rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156\/35 + -34\/7. Let i = 2.936 + -2.836. What is the closest to i in 2, j, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 91986, 183903, 275820, 367743, 459678, 551631?\n\"Answer: x**3 - 6*x**2 + 91928*x + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1152 divided by 12.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeukffiuekuzeifeke. Give prob of picking 1 k and 3 e.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 2:06 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -2*n**3 + 47*n**2\/2 - 9909*n. Give l(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 68, 138, 198, 242, 264, 258, 218?\n\"Answer: -p**3 + p**2 + 74*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90.00057 - 90. Round x to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/1332550 and -79\/1172644.\nAnswer: 29316100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (-3)\/3*2. Let c = 0 - a. Suppose 5*x - x - 44 = c. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q**2 - 12*q**2 + 4*q**2.\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 9:55 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 3 + 1)*(0 + 0 - 4*n) + 690 - 171 - 3*n + 2*n)*(0*n + 0*n - 3*n) to the form d + k*n**2 + f*n and give f.\nAnswer: -1557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, -1520, 2.\nAnswer: -1520, -5, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389744 is divided by 4146.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * -226\nAnswer: -27.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8119493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 7*u. Suppose 4*g + g - 15 = 0. Solve -2 = -2*l - u*c - 4*c, -l - 4*c - g = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 + -76.47. Let a = -62 - -61.63. Let d = j - a. What is d rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -130*z + 134*z - 4. Sort 9, z, -1 in decreasing order.\nAnswer: 9, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 382759793 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1555 (base 6) to base 11.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -131 or -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/2 - (-4373890080)\/960 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(32\/6)*5\/15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/414 and 53\/644?\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(1\/2)\/l*l)))**(-11\/4)*l**(3\/7)\/((l\/l**0)\/l) assuming l is positive.\nAnswer: l**(-53\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*k + 29*k + 13 - 13*k)*(2 - 2 - 2*k) as a*k**2 + x + c*k and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -662*a = -1341256 + 1307494 for a.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + 5. Solve 4*d = -z + j, -d - 5*z + 6 = -22 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1057242912 and 396?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 + 18*u**3 - u**3 - 5*u**3 + u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 509330 divided by -3286?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**3 + 48098*a**2 - 289393520*a + 2600647200 = 0.\nAnswer: 9, 12020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 30*t**2 - 121*t - 1933. What is l(-32)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 < -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -42*p**2 - 42*p**2 - 18*p**3 - 50*p + 0*p + 44 - 52 = 0.\nAnswer: -4, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -321*a**3*y - 6*a**3 - 979*a**2*y - 2*a*y wrt a.\nAnswer: -1926*y - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - j**2 - 2*j - 3. Let m(c) = -5*c**3 + 25*c**2 - 340*c - 1590. Let t(x) = m(x) + 10*v(x). Factor t(z).\nAnswer: 5*(z - 9)*(z + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -22, -2, -0.06, 0.3, -4?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/32*1*(-1)\/(-1)*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - -132*47\/282?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42, -173, -408, -759, -1238, -1857, -2628, -3563?\n\"Answer: -2*s**3 - 40*s**2 + 3*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + 1 - 1)*(-36*o + 10622*o + 6287*o + 1373*o + 48*o) in the form s + p*o**2 + q*o and give p.\nAnswer: 54882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 780 and (-1 - 0) + 176\/22 + 7?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - o**2 - 5. Let s be b(0). What is the nearest to -1 in 2, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -5 (c) -3 (d) 39\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2122 = 18*u - 19*u. Is -3*(u\/9)\/((-10)\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*((s\/(s*s*s\/s**2))\/s)\/s*s*s*(s**2*s)\/s*s*s**4*s*s*s*s**(-9)*s assuming s is positive.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -18)\/(1\/(-5))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4846959431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86313599 is divided by 1776.\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 38*-1035.03\nAnswer: -39331.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17363032 is divided by 267.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 238453690 to the nearest one hundred thousand.\nAnswer: 238500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146119 to the power of 1\/2, to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 + 25*g**2 - 11*g**2 - 14*g**2.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.039, 5, -0.2, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**3\/2 + 2*v**2 - 21*v. Determine a(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1541456 and 376885992?\nAnswer: 753771984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkgqkwggwg. Give prob of sequence www.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((((sqrt(24)*-2)\/sqrt(12) + sqrt(2) + -2*2*sqrt(2))*6)**2 - ((sqrt(288) + -3)**2 - sqrt(2)*2*6)).\nAnswer: 84*sqrt(2) + 1508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 - 46a9423?\nAnswer: -46a943a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 2*u**2 - 3*u - 3. Let c be p(-2). Suppose -2*w - 9 = -c. Is 226\/w*(-9)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 248\/819 - 2\/117. Let d = 2\/289 - 596\/2601. Sort n, d, 0.09 in decreasing order.\nAnswer: n, 0.09, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 10, 0, 24, -5.\nAnswer: -31, -5, 0, 10, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l. Let x(g) = -7*g - 1. Let c(s) = -4*k(s) + 2*x(s). Let v be c(5). Let p = -74 - v. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 - -220. Let b = 139.77 - h. Let r = 0.53 + b. Round r to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 11 + 1832*t**2 + 178*t**2 + 20.\nAnswer: 2010*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -13. Which is the nearest to 2\/3? (a) -5 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42536)\/(-22) - (-18)\/33. Let s = w - -1425. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 63 + 9158*h**3 - h - 9159*h**3 - 254 to the form c + b*h**2 + o*h**3 + d*h and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -26. Let p(w) = w + 13. What is the least common multiple of 6 and p(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 6650061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 15. Let s(m) = -m + 8. Let k be s(p). Is 1\/(k\/(76\/2)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2048)*3*1 - sqrt(2048)) + 5*sqrt(2048)*3)*-2)**2.\nAnswer: 2367488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 330?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000010110 - 1111010101000?\nAnswer: -10001010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 17 - 18. Suppose 3*m + m = -5*q + 5429, -o*m - 4*q + 6793 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + (-2 + sqrt(2736)*-1)*1)**2.\nAnswer: -48*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 357 - 229. Calculate the highest common factor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 10:09 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 1:35 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -0*x + 3*x. Suppose -3*f + 23 = 4*d, 0 = -d - 0*d - 5*f + x. Solve -1 = -d*c - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 - 4*f**2 - 4*f - 3. Let l = 104 - 107. What is the remainder when 77 is divided by v(l)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/6 + 127*y\/6 + 43.\nAnswer: -(y - 129)*(y + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 854 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 3*q - 3*q)*(-1 + 3 - 1)*(-q**2 - 4*q**2 + 3*q**2)*(-6*q**2 + q**2 + 3*q**2) + 0*q**5 + 4*q**5 + 4*q**5.\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -9. Let b = -48602\/5 - -9721. What is the third biggest value in b, -0.7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -291 or -67.928?\nAnswer: -67.928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4608702 is divided by 251.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 151 = -5*t, -127 = -5*t + 5*q + 18. What is the remainder when 115 is divided by t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -730267\/55 - -13278. Let r be (2\/3)\/((-30)\/(-27)). Let n = p - r. Which is the third biggest value? (a) -0.3 (b) 0.07 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmk when three letters picked without replacement from {j: 5, m: 7, z: 3, k: 2}.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 - 1111110010010111?\nAnswer: -1111110010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000051604 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w. Let l(x) be the first derivative of 105 + 0*x**2 - 98\/3*x**3 + 0*x. Give l(j(z)).\nAnswer: -392*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8699491?\nAnswer: 59, 147449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 4*y - 6*y + 0*y**2 - 2*y**2. Let j be s(-2). Suppose o = -j*o + 55. Solve 5*n - 31 = -o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - (77 + -56 + 8).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x + 6. Let m(k) = 8 - 5*k + 37087*k**2 - 37086*k**2 - k. Let g be m(x). Solve -f + g = 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 12 = 4*g, 5*g + 6 - 29 = 3*o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 5*r + 21*r**2 - 2*r**3 as m + y*r**3 + v*r**2 + a*r and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1437244 (base 9) to base 15.\nAnswer: 109cba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8227955 millilitres?\nAnswer: 0.0008227955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8581, -10187, -12903, -16723, -21641, -27651?\nAnswer: -34747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 7*g**2 + 22*g - 17. Calculate u(5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 615078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 4*l**3\/5 - 488*l**2\/5 + 324*l\/5 + 376. Factor n(b).\nAnswer: 4*(b - 81)*(3*b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104 - 98. Suppose -2*g = -6, 2*w - y*w + 15 = 5*g. Solve 0 = 4*r + 2*t - 6, w*t - t = -4*r + 21 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*q + 384 = -81 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104649 (base 11) in base 15?\nAnswer: 347d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/18160 and 23\/45400?\nAnswer: 90800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-2)\/8*((-1372)\/1715)\/(12\/2850)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.062 and -20531.46?\nAnswer: 1272.95052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 8*i - 25. Suppose -4*h = 5*r + 9 - 111, -i*r = 3*h - 79. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*k - 28 = 0, -3*l = 5*k - 41 + 60. Sort -3, -8, -2, 6, l in increasing order.\nAnswer: -8, -3, -2, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905 is divided by 220?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 7.6. Let s = x + 1.4. Put s, 0, 10 in descending order.\nAnswer: 10, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 890 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1571*m**2 - 1579*m**2 - 1570*m**2 + 7901*m**2 - 1602*m**2 - 1578*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -61. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 389244028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-81)\/(-36))\/(2\/(-88)). Let s be 3000\/((h\/300)\/(-11)). What is s rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 843 + -5 + (-3)\/(6\/(-10)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2 + m - 8*m - 1. Suppose 0 = -2*n + 3*n + 1. Give w(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 452*n + 3187. Let s be x(-7). Solve s*u = 25*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) 0.5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575148153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 3 - 3)*(-1 + 1 + 3)*(-115 + 42 + 22) as d*v + p and give d.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 0 - 26*j in the form v*j + u and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*w**4 - w - w**2 + 7*w**4 - 2 + 0*w to c*w**3 + i*w**4 + y + d*w + r*w**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/5)\/((-500)\/(-1250)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32 - 24?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 1 + (-32 - -40) + 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 34. What is the greatest common factor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 326 - 121. Suppose -4*a + 513 - o = 0. Calculate the highest common divisor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**2 + 9*q - 3. What are the prime factors of d(-4)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324 divided by -2.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, d: 12}. What is prob of picking 2 d and 1 p?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 12*j - 5. Let r be u(-11). Suppose h - r*h = 0. Let p be (-12)\/21*(-1 + h). Put 2, -2\/3, p in increasing order.\nAnswer: -2\/3, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5808\/616)\/((-1)\/(3*21\/18))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 8*k**2 + 6*k - 5. Let r be s(-9). What is the tens digit of 3*3\/(18\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**5\/10 - l. Let x(v) = v**4. Let c(q) = m(q) + 2*x(q). Factor c(g).\nAnswer: 2*g**3*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*w - 2*k, 4*w + k = -16 + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (918 - 923)*3\/4\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 195698246*d**3 - 916051253*d.\nAnswer: 1174189476*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 4a?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.337 (b) -3\/2 (c) 10 (d) -467\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**3 + 9*p - 6*p**3 + 9*p to n*p**3 + c + f*p**2 + k*p and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b + 1. Let w be q(1). Let s(i) = 10*i**2 - 27*i + 24. Let d be s(1). Solve -w*o = d + 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -25, 5 in ascending order.\nAnswer: -25, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.0394 + -0.0394. Let z be (8 + 45\/(-6))*10. Which is the closest to 4? (a) -1 (b) z (c) k (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*h, 5*g = -3*h - 0 + 9. Let c(a) = g*a**2 - 3 + a**3 - 6*a + 2 - 2. Let r(y) = -y - 9. Let o be r(-5). What is c(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83185 not equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 14*w - 1. Suppose -3*z - 1034 = -5*c, 13*z = 5*c + 8*z - 1040. Let i = c - 204. Determine u(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74.324998 - -0.042.\nAnswer: 74.366998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.236 - 0.04?\nAnswer: -0.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4*o**2 + 2*o**2 + 3)*(-4*o**2 + 0*o**2 + 9*o**2 - 4*o**2 + 6*o**2 + 4*o**2 + (1 - o - 1)*(-4 - 2*o + 4)).\nAnswer: -26*o**4 - 13*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 779*r + 2. Let j be g(2). Suppose j = -6*n + 8*n. Round n to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**3 + 55*t**2 + 459*t + 9426. Give v(-19).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-4)*c*c))**(-7) assuming c is positive.\nAnswer: c**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113 + -190. Let j = x + 151. Let b = j + -73.69. What is b rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -303544 (base 8) to base 11\nAnswer: -69308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 2*j**2 - j - 2. Give g(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.22 + -0.1. Let u = 0.02 - a. Which is bigger: u or -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 27) + 16 + (3 - 3 - 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -282 divided by 47.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26441*p + 877831 + 444219 for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i**2\/i)*i*i**18)\/(i*i**(-6\/5)*i)**(-26) assuming i is positive.\nAnswer: i**(204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 3:50 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -79. Find the second derivative of -m*x + 26*x**2 + 8*x**2 + x**2 wrt x.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1187 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 219*a**3 - 66. Let v(r) = 2. Calculate -4*q(l) - 132*v(l).\nAnswer: -876*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -158, -131, -58, 85, 322, 677, 1174, 1837?\n\"Answer: 4*q**3 - q**2 + 2*q - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-906)\/(-72) - (-4)\/(-16). Let j = m - 71\/6. Find w, given that 1\/2*w**3 - j*w**4 + 3\/2*w**2 - 1 - 1\/2*w = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3757, 3061, 1901, 277, -1811, -4363, -7379?\n\"Answer: -232*c**2 + 3989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u - 13. Let q(t) = t + 1. Give l(y) + 6*q(y).\nAnswer: y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14549966142 less than -0.7?\nAnswer: -14549966142.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -3 + -10 - -5) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3815 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/11)\/w)**(-6)\/(w**(2\/3)*w*w)**31)**5 assuming w is positive.\nAnswer: w**(-12830\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 0.1018025586.\nAnswer: -3.8981974414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -42. What are the prime factors of (2 - -1) + -5 + f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21634 or -21641?\nAnswer: -21641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 2*g**2 + 5*g + 4. Let i be q(-2). Let s = 352 - 256. Suppose i*v = 124 + s. Calculate the highest common divisor of v and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.2 and 1393497.\nAnswer: 1393495.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 8. Suppose -r = -4*r + v*w + 58, 5*w = -4*r + 36. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**4\/12 - 3*q**3\/2 + 7*q**2 + 9*q. Let t be x(8). Suppose j - 4*j = -t. Solve 2 = j*f - 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - (-1168)\/116 - (-26)\/(-377). Put 26, -1, a, -4, 0 in decreasing order.\nAnswer: 26, a, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4469519.92 to the nearest one thousand.\nAnswer: 4470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2791 - -2785. Let n(v) = -6*v. Let i(d) = -2*d. Give s*n(z) + 17*i(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -o + 1 + 3, -13 = -g + 5*o. Suppose g*k - 39 = 3*v + 105, -4*k - 3*v = -227. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 29*z**2 - 35*z - 17. Let k = 382 + -351. What are the prime factors of s(k)?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 7 = -3. Suppose 0 = 4*a + 5*d - 0*d - 25, 5*d = 3*a - i. Solve 11 = 2*c - l, -2*l - 28 = -a*c - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 7*n**2 - 28*n + 6. Let r be w(15). Suppose 3*f - r = -14. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -8. Let q = 0 - d. Suppose -8 = -3*n - 0*f + 2*f, 4*f = 5*n - 14. Put n, 4, q in ascending order.\nAnswer: n, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, x: 6, d: 10}. What is prob of picking 1 w and 1 x?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2 + 3*k - 4. Let u(l) = 11*l**2 + 9*l - 13. Give 7*f(x) - 2*u(x).\nAnswer: 6*x**2 + 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 88870947 to the power of 1\/3, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 129443233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 188987194 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/2 - (-1)\/(-2). Suppose 0 = 69*a - 13495 + 1765. What is the highest common factor of q and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -1 - (-3 + -1 + 9 + -15)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 606 - 613?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158962*x - 392 = -158990*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-59 + 1)\/(-12 - -10). Let o = 37 - a. Calculate the lowest common multiple of 10 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -223410 (base 9) to base 12\nAnswer: -65490","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {x: 2, y: 2, k: 1, a: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j + 35. Suppose 0 = -4*x + 32 - 0. Let g be s(x). Suppose -g*r + 80 = c, r + 3 = 4*r. Calculate the highest common divisor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(5\/3)*x*x\/(x*x\/((x\/(x\/((x**4*x)\/x*x)))\/x)))\/(x**(-11)*x\/((((x*(x**13\/x)\/x)\/x)\/x)\/x)))**(-2\/139) assuming x is positive.\nAnswer: x**(-140\/417)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.137 and 861.74.\nAnswer: 861.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 6 - -2 - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 44. Is 74*35 - (l + -2 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((45\/(-385))\/(-3))\/((-16)\/(1456\/13))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/2 + (-3)\/6. Let a(d) = 5*d**2 + 4*d - 79. Let w be a(7). Let r = -194 + w. Solve 3*n - f*n = r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130 - -132. Suppose -4*n - 42 = -m - 2*n, 0 = 5*n - 5. Let u = m + -38. Solve -i*f - u - 5 = v, 2*v - 3*f = 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*d + 6086. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 0, -3579, 57 in descending order.\nAnswer: 57, 2, 0, -3, -3579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -1.882, 0.1, 1645, -2\/7, 3, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f**5 + 45*f**4 + 42*f**3 - 40*f**2 = 0 for f.\nAnswer: -5, -2, 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j**2 - j**3 - 4*j**2)*(2*j + 0*j - j) - 415*j**2 - 124*j**4 + 415*j**2 to c*j**2 + a + d*j**3 + s*j + x*j**4 and give x.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97.2 - -97. Which is smaller: d or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n**(-1\/4)\/n))\/n*n)**(-2\/47))**(2\/49)\/(n**8\/(n*n**(-8)))**(-12) assuming n is positive.\nAnswer: n**(414527\/2303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13 - -1)\/((-4)\/(-48)*4). What is the units digit of 75\/2*(-48)\/h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*a = 61*a - 4*v + 10, 3*a + v + 23 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/6)*j)\/(j\/(j*j\/j**(-1)))*(j\/(j\/((j\/(j*j**(2\/5)))\/j)))\/((j\/((j*j**(-8))\/j))\/j) assuming j is positive.\nAnswer: j**(-217\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**4 - 39\/2*s**3 - 6*s + 18*s**2 - 3\/2*s**5 + 0.\nAnswer: -3*s*(s - 2)**2*(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 5*c + 17, 0*c + 3*c - 13 = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 6*(0 + sqrt(468) + sqrt(468) + -5) + 6*(1 + sqrt(468) + sqrt(468))*-3 + -2)*-6)**2.\nAnswer: 466560*sqrt(13) + 9777348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in 48\/455, -1.4, 2, 2\/3?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 17. Let i = -19 + 16. Let d = -1.2 - 0.8. Which is the second biggest value? (a) d (b) p (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116981 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 - 238*h - 6891*h**2 + 3446*h**2 + 3447*h**2 + 238*h - 51.\nAnswer: 2*h**2 - 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o + 1. Let i(b) = -4*b**2 + 0*b**2 - b**2 + 3*b**2. Give i(x(v)).\nAnswer: -32*v**2 - 16*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10222012121100220 - -12?\nAnswer: -10222012121100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 5 (c) 0.019\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-150 - 135 + 88)*(u**2 - 2*u**2 - 3*u**2 + (u + u - u)*(-4*u + u + u)) to the form p + z*u + b*u**2 and give b.\nAnswer: 1182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*q - 23*q**3 - 16*q**2 - 20*q**2 + 36*q**2 wrt q?\nAnswer: -138*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5, 4, -2, 0.028?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 3 + (sqrt(17) - -1*sqrt(17)))*-1 + (sqrt(68)*-5 - sqrt(51)\/sqrt(12)))**2.\nAnswer: 81*sqrt(17) + 12429\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7760284 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 4 = 4*x. Suppose 2*t = 4*h + 22, h = 4*t - 2*h - 24. Suppose t*y = -2*i + 40, -x*y - 24 = 4*i - 104. Solve 4*g = -0*g - i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pii when three letters picked without replacement from lilnlpiln.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -4627.60485.\nAnswer: 4627.40485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**5 + 185*u**4 - 1935*u**3 + 6075*u**2 - 6210*u.\nAnswer: 5*u*(u - 3)**3*(u + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - p + 51 = 3*f, 2*f + 22 = 4*p. Let l = f + 24. Let j = -1 + l. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 60 = -12. Calculate the remainder when n is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 6}. What is prob of picking 1 k and 1 h?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.6, 4, -1621, -2\/7, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29002259?\nAnswer: 11, 13, 15601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1. Let z(p) = -2*p**2 + 2*p + 3. Determine 3*q(o) - z(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/28, 4, 7068\/25.\nAnswer: 1\/28, 4, 7068\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3053552791?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4105988 or 4105993?\nAnswer: 4105993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4*((-213)\/(-30) - 7) - (-56966)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -2\/7085029, 1\/27?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 7372*a**2 + 4427*a + 2950.\nAnswer: -(a - 1)*(a + 1475)*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from {i: 7, f: 1, b: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 14*u + 3. Let n be (-2)\/7 - 700\/(-49). Let p be z(n). Let c be p + 2 + (-76)\/(-4). Calculate the highest common divisor of c and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 500 and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -180*d**2 + 49*d + 25. What is i(1)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l + 35 = -2*i, l = 2*i + 15. Let x = 14 - 73\/5. What is the second smallest value in -1\/8, x, l?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -1. Let p be (-3)\/7 - 14\/(294\/(-51)). Factor 7*j**4 - 10*j**y + 10*j - 5 - 10*j**p + 5*j - j**4 + 9*j**4 - 5*j**5.\nAnswer: -5*(j - 1)**4*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.53 + 0.47. Let q = t - 11. What is the second biggest value in q, 17, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/15 (b) 2\/7 (c) 1 (d) 3 (e) -2 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*m + 125 = 0, m - 1 = 3. Calculate the remainder when 69 is divided by x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*o - 4 = 4, 4*m - 3*o = 37. Put 1, 4, -1, m in decreasing order.\nAnswer: m, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljcj when four letters picked without replacement from {j: 2, c: 7, l: 4}?\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - ((9 - 0) + (-41 + 47 - 34))) + -147?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/478261?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -13 + (1 - 1 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1084, 1079, 1074?\n\"Answer: -5*n + 1089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4488760203?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -8. Suppose 0 = -j - c + 4*c + p, -5*j = -4*c - 35. Suppose -j*g = -f - 55, 2*g - 5*f = 29 + 25. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9341a (base 12) to base 4\nAnswer: -232332112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 6*l + 2. Let s be w(6). Let y be (-1388)\/(-14) - (-2 + 75\/35). Let m = y - 91. Solve 4 = 2*i - 0*i - 3*j, s*i - 4*j - m = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 3:25 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/10*(4 + -8). What is the third biggest value in 3\/7, -3\/5, q?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - h)*(-470 + 470 - 97*h)*(5*h - 2*h - 2*h) to z*h**3 + g*h + c + y*h**2 and give z.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -3*i - m, 3*i - 244 = -i + 2*m. What is the greatest common factor of i and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -8*q**3 - 2*q**2 + 4*q - 4. Let y(u) = -9*u**3 - u**2 + 5*u - 5. Let x(a) = -5*t(a) + 4*y(a). Let d(c) = -4*c**3 - 5*c**2. What is -6*d(v) - 5*x(v)?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 + -110. Let h = -138 - -98. Is s not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10*a**2 - 19*a + 786. What are the prime factors of o(25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8 - 1\/2*k**4 - 4*k**3 + 4*k - 15\/2*k**2.\nAnswer: -(k - 1)*(k + 1)*(k + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p + 4 = 5*d, 0 = -3*d - 4*p + 18. Suppose 0*g = 4*w + 3*g + 18, 0 = d*g + 4. Let v = 2.6 - 0.6. Which is the closest to 2\/7? (a) 4\/3 (b) v (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 0.6, -241\/5, 0.785.\nAnswer: -241\/5, -0.01, 0.6, 0.785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1251585 and 3188970.\nAnswer: 232794810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 882 and 108?\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*m + 5*j, 5*m + 5*j + 12 - 77 = 0. What is the first derivative of -m + 13*g + 19 - 12 wrt g?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(343) + 4*-3*sqrt(343) - sqrt(343)) + -4 - (4 + 0 + sqrt(343)*-5)).\nAnswer: -98*sqrt(7) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 10*t**2 - 9*t + 3. Let a = -790 - -781. Determine k(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*h + 2*h. Suppose h*l - 25 = -5. Let k = 2095 + -10414\/5. Calculate the common denominator of l and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (105\/(-42))\/(5\/(-12)). Solve -5*f + 16 = -3*u, -3*u = -j*u - 5*f + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72427 is divided by 35881.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50*k - 279*k - 135*k + 41*k - 12689 + 12687 + (-2 - 3 + 3)*(-2*k + 5*k - 4*k).\nAnswer: -321*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1238, 1237, 1236, 1235, 1234, 1233?\nAnswer: 1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7*(2865\/35 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z + 9. Let p(m) = -8*m**2 - 52*m - 160. Let g(u) = 3*u**2 + 17*u + 54. Let j(i) = 11*g(i) + 4*p(i). Give -2*j(l) - 11*t(l).\nAnswer: -2*l**2 - 2*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 205?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)*1 + sqrt(720))*6 - (4*sqrt(720)*2 - sqrt(720)))\/(sqrt(4) - -2*sqrt(324) - (sqrt(4) + -1*sqrt(12)\/sqrt(3))).\nAnswer: 30*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*l + 9*y + 60 = 51*l - 3*y, -4*y = l + 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b + 15. Let x be o(9). Suppose 3*k + 0 = x. Calculate the remainder when k is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/7, -2, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4 (b) 0.02 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.55674172 rounded to two decimal places?\nAnswer: -10.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.3 (b) 2\/3 (c) -5 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 739 and 1475693581?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 223*c - 1 + 1 + 58*c + 7*c to the form z + i*c and give i.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 266862, 533724, 800584, 1067442?\n\"Answer: -a**2 + 266865*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 17631 - 1121 = 0. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67679526 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + i = -408, 4*i - 370 = 4*g + 38. Let n = g + 170. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*(5*sqrt(132)*1)\/(6*-2*sqrt(432)).\nAnswer: -3 - 25*sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 1)**2 - (-4*sqrt(104)\/sqrt(8) - sqrt(13)).\nAnswer: 21*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**5\/8 + 45*r**4\/4 - 33*r**3\/8 - 261*r**2\/2 - 411*r\/2 - 90 = 0. What is r?\nAnswer: -30, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m + 31. Let b be s(6). Solve b*h = 2*h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -404 = -405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -884940 divided by -860?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 6:45 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/((-3)\/(210\/56))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 599232 + -402131. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/7*18\/(-144).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 34*a = 649, -2*g + 2*a + 57924 = 57964 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4276168 divided by -164468.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1375075 times 0.3\nAnswer: -412522.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16, -45, -114, -241, -444?\n\"Answer: -3*k**3 - 2*k**2 - 2*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-5)\/((-20)\/324008). What is y rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 17 - (-54 + (15 - -57))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*d**2 + 6*d**2 - 872*d**3 - 16*d**2 - 185*d**3 + 110*d wrt d.\nAnswer: -6342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1948?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -12*j**2 + 7*j. Let n(d) = -8*d**2 + 5*d. Let u(c) = -7*n(c) + 5*t(c). Let y(g) = 2*g**2. Calculate y(u(l)).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 2*l + 2*l)*(2*l**2 + 2*l**2 - 2*l**2)*(-2 - 3 + 2 + (-1 + 0 + 3)*(-4 - 1 + 1)).\nAnswer: 44*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 2*i + 2*i)*(-178*i - 177*i - 198 + 353*i) to the form d*i**2 + w*i + k and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*f**4 - f**4 + 0*f**4)*(-7 + 3 - 3 - 8 + 0 + 21 - 4 + 3 + 2 + (-1 + 0 + 0)*(-3 + 4 + 1)) to the form p*f + v + x*f**4 + q*f**3 + d*f**2 and give x.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 4) to base 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*o - 1350*o - 1322 = 39365 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (11 + 24208\/32)*24\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -45*w**3\/7 - 678*w**2\/7 + 720*w\/7 + 768\/7 = 0.\nAnswer: -16, -2\/3, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 + -71. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c**2 + 5*c + 6. Let j(r) = 14*r**2 + 8*r + 7. Let t(h) = 4*g(h) - 3*j(h). Let x(v) = 19*v**2 - 7*v + 5. Give 7*t(d) - 4*x(d).\nAnswer: -6*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jljjjlrljhjs. Give prob of sequence lr.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8707.684 hours?\nAnswer: 31347662400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1400 and 1520?\nAnswer: 53200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 433948814 or 433948816?\nAnswer: 433948814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*f. Suppose 4*i = -f*i + 12. Solve -i*t + 5 = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 3*h - 4. Let p(u) = 185 - 100 - 3*u - 95. Let x be p(-5). What is b(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -2\/27, -0.3, -104, 18\/5?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -2.249?\nAnswer: -0.6747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 11:50 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22187416793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405079?\nAnswer: 53, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22663)\/(-786) + 104\/48.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 2*x. Let o = -30 + 32. Let d(n) = -6*n**o - 7*n + 20*n + 0*n**2. Determine -6*d(a) + 39*g(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 1:54 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1400 - 695 + 41304*r - 705.\nAnswer: 41304*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6098175 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 53592574 to the power of 1\/2, to the nearest integer?\nAnswer: 7321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*u - 62 - 14*u + 1 - 14*u**2)*(0 + 0 + 3) as i*u + z*u**2 + y and give z.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x. Let f be z(1). Let u(l) = l**3 - 8*l**2 + 8*l - 2. Let q be u(f). Suppose -q*i + 200 = -0*i. Solve -h - 3*j - 9 = -1, i = 5*h - 5*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {n: 3, q: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2937894.818 + 2933636. Let z = p - -4255. What is z rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 4*m - 3. Let g be i(-11). Suppose -l + 90 - 58 = 0. Let n = g - l. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2. Let c(d) = -3*d - 5. Let k(n) = 11*n + 1. Let u(j) = 6*j. Let t(x) = -4*k(x) + 7*u(x). Let i(w) = 4*c(w) - 5*t(w). Calculate i(a(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 540*u**2 + 4*u + 4. Does 10 divide q(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7560757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 84*w**2 + 3*w - 382*w**2.\nAnswer: -298*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5717454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((26\/117)\/((-38)\/12))\/(4\/18).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffzffffzffz. Give prob of picking 2 f.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + s + 14*s + 5*s - 19*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10014546 (base 7) to base 12\nAnswer: 33ab23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15018 or -15030?\nAnswer: -15018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -269*v**2 + 1075*v**2 - 268*v**2 - 269*v**2 - 271*v**2. Let t(m) be the second derivative of m**3\/3 + m. What is b(t(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111100111111011010110 (base 2) in base 14?\nAnswer: -788862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**4\/24 + y**3\/6 + 13*y**2. Let j be m(-1). Factor 0*a**j + 2\/7*a**5 + 0*a**4 - 4\/7*a**3 + 0 + 2\/7*a.\nAnswer: 2*a*(a - 1)**2*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15092411 (base 10) in base 16?\nAnswer: -e64abb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(0 + -2 + 3). Let o(g) = 2*g - 3*g**2 + 4*g**k + 2*g**3 - 1 - 2. Is o(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407*g - 507*g - 875*g + 318*g - 321*g.\nAnswer: -978*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 161658 and 1639674.\nAnswer: 11477718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1121350, -2242681, -3364012, -4485343, -5606674?\nAnswer: -6728005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 8. Suppose -3*w + 12 = -g*w. What is the second derivative of 0*i + i**4 + 3*i**4 + i + w*i wrt i?\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 305?\nAnswer: 305.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + sqrt(162) + 0)*5.\nAnswer: 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/9, 2\/9, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15*22\/(-275)*(-7)\/((-14)\/20)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*v = 5712, 5714 = 5*d - 113*v + 116*v. What is the greatest common divisor of d and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((13 + -13)\/13)\/((-3)\/(-1)). Solve l = 4*h + 16, f + 3*h = h - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 2*q**5 + 0*q + (-3*q**4 + 4*q**4 - 2*q**4)*(0*q - 5*q + 3*q) + 9*q**5 - 3*q**4 + 821 - 821.\nAnswer: 13*q**5 - 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2172*w + 73645 = -67535 for w.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c. Let j be t(-1). Let h = 4652.5 - 4466.5. Is h bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 840 is divided by 84?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-29)\/(957\/(-177254)))\/((-2)\/3). What is o rounded to the nearest one hundred?\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16826?\nAnswer: 2, 47, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037421815 rounded to four dps?\nAnswer: -0.0374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + -4*-1*sqrt(1700) + 5)**2.\nAnswer: 560*sqrt(17) + 27249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Let s = 2.6 - r. Let z = s - 2.6. What is the biggest value in z, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -92593 - 92582 + 185175 + 9406*g in the form a + z*g and give z.\nAnswer: 9406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 90 = -v, 0 = -2*j + 3*v - 2*v + 61. Let l = j + -11. Calculate the remainder when l is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32957 rounded to the nearest one thousand?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 3)*(-659*l + 668*l - 9 - 1) in the form h + m*l and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 6. Let s be (-4)\/(5\/(20\/(-8))). Suppose s*l - z = 17, -3*l - z + 22 = -11. Calculate the lowest common multiple of k(l) and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1408 - -2390. Let u = 1672 - s. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4)*4973*282\/329. Let s = g + 2137. Factor 30\/7*d - 2\/7*d**5 + 0*d**4 - s*d**2 - 8\/7 + 20\/7*d**3.\nAnswer: -2*(d - 1)**4*(d + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 597.026064 and -245.\nAnswer: 352.026064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3712?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 42*d + 3. Let p(z) = 715*z + 26 - 8 + 11 + 23. Let i(n) = 3*p(n) - 52*u(n). Determine i(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -350.8315 rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 45041.91 weeks?\nAnswer: 27241347168000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 10 - 24 = 0. What is the biggest value in -0.4, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*n**3 + 16*n**3 - n - 7*n**3 + (n**2 - n**2 - 2*n**2)*(-n - n + 0*n).\nAnswer: 6*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/23 greater than -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*y + 3*y + 763, -2*p - 4*y = -362. Suppose p = 2*r + 3. Calculate the greatest common divisor of r and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-seven fifths of a kilogram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1134433 - -2524?\nAnswer: -1131606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (2 + (-1 - 0)*-1). Let s be 2\/9 - 76\/18. Let f = s - -4. Is f equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*((-24)\/(-15) + -2). Let w(g) = 2 - c + 6 + 2*g - g. What are the prime factors of w(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -25*c - 3. Let u be b(-1). Do u and 21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = 186 + 342. Let a = -29 - q. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*f**4 - 2*f**4 - 8*f**4 + (5*f**2 + 15*f**2 - 7*f**2)*(3 + 2*f**2 - 3) as m*f + i + c*f**4 + x*f**2 + k*f**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 45*s + 39. Determine n(45).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 118*o - 4. Let f be y(7). What is the remainder when f\/10 + 2\/(-10) is divided by (86 - -1)*(-1007)\/(-3021)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21607131 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32.0169 + 0.0169. Let q = 32.00768 + t. What is q rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63185754 divided by 1662783?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (2 - (-26 - -14)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-1))\/((-57)\/2). Let t be (-24)\/140*(2 + (-150)\/54). Which is the nearest to 2\/3? (a) n (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-280))\/(-1 - -4). Let 1 - 1\/2*q**3 + 3\/2*q + s*q**2 = 0. Calculate q.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -v**2 + 12*v**2 + 4 + 5*v**2 wrt v?\nAnswer: 32*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93 + -83. Suppose -3*c + 26 = h*c. Suppose -a**3 + a**2 + 3*a**2 + 0*a - c*a - 8 + a**2 = 0. What is a?\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -0 + 54. Calculate the least common multiple of 12 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 8 = -4*m, -m + 2 = 2*b + 2*b. Let a be 1\/(6\/8) - m. What is the second smallest value in 0.3, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*i + 3. Suppose i*o + 13 = 2*o + 4*q, 2*o - 4*q + 10 = 0. Solve 2*r + 13 = -o*j - 0*r, -4*j - 25 = -5*r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(17))*-6 - ((sqrt(1377) - sqrt(1377)*2) + -2)**2.\nAnswer: -1386 - 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 - 16 = -9*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 100. Let c be k(-24). Factor -81*i - i**2 - 3 + c*i - 1.\nAnswer: -(i + 1)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 16 = 5*i. Let z(k) = -7*k + 5. Does 17 divide z(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 12. Let s be u(5). Let d = s - -12. Solve -2*k + d*o = 22 + 13, -o + 5 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542.761 nanograms in tonnes?\nAnswer: 0.000000000003542761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l + 11*c - 38 = -28*l, 0 = -3*l - 5*c + 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111000000 - -1001000010011?\nAnswer: -1000110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 159 = -3*w, 2*w - 201 = -2*w + 5*c. Let b = 271\/5 - w. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 4. Let p(k) = -159*k. What is p(w(h))?\nAnswer: 159*h**2 + 636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -3*n. Suppose 2*o - p - 46 = 4*p, -n*o - 5*p = -32. Suppose -4*j = -3*r + 21, -3*j = -4*r + 8 + o. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:01 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -3*v + 2, -114 + 118 = 2*v - 4*b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*g - 33 - 15. Let r(h) be the first derivative of 5\/4*h**6 - 3*h - 5*h**3 + 3\/2*h**g + 18\/5*h**5 + 1 - 27\/4*h**2. Determine n so that r(n) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48594584 and 1840.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/7086 and 29\/37792.\nAnswer: 113376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 778 and 780 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, n: 1, c: 2, l: 4, q: 2, m: 1}. Give prob of sequence lq.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -5, 0.04, 0.3, 21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*o + 12 - 50*o - 3)*(-4*o + 0*o - o) + 2*o**2 - 2*o**2 + 7*o**2.\nAnswer: 57*o**2 - 45*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 1190*t**2 - 255. Let y(o) = 1. Let i(u) = -w(u) - 255*y(u). Let x(k) = -2*k**2. Calculate i(x(p)).\nAnswer: -4760*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -543 - 644272.0262?\nAnswer: -644815.0262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*r - 18, -3*r = w + 2*r + 17. Suppose k - 5 = -w. Solve 0 = -7*h + k*h - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 194165178?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 2*c + 2. Let x be r(2). Let t(u) = 0*u - 1 + 2*u + u + u**x. Determine t(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -1\/2, 0.3, -1.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 174766 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 2, k: 1, b: 1, l: 1, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -1, -7, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1063510 is divided by 354497?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddfdtiiifdffte. Give prob of picking 1 f, 1 e, and 2 i.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen thirds of a day?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 87 = -303. Let d be ((-64)\/i)\/(5\/(-45)). Solve -2*s + 12 = -5*s, d = o - 4*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9171876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8297036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*z**6 - 14*z**2 - 12*z**6 + 9*z**6 wrt z.\nAnswer: -1200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 33*h**3 - 5*h**2 - 12. Let r(f) = -17*f**3 + 2*f**2 + 6. Let v(w) = 2*n(w) + 5*r(w). What is the first derivative of v(z) wrt z?\nAnswer: -57*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0*v + 0*v)*(5*v - 20 - 10*v + 8*v).\nAnswer: 6*v**2 - 40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 > 1389\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/(-39) - (-1 - -1). Put 5, 2, -1, y in ascending order.\nAnswer: -1, y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341 + 341 - 2*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 19 - 18*b**2 + 11.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 3*f = 20*r + 60303, 12067 = r + f. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**2 + o**2 + 14*o**2 + (-2*o + 0*o - o)*((-3*o - 2*o + 4*o)*(5 - 3 - 3) - 2*o + 5 - 5) as x + d*o**2 + r*o and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-9)*(-3)\/(-2). Let z = 6 + s. Suppose 0 = -t + u - 3 + 2, 4*t + z = 5*u. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48802, -48801, -48798, -48793, -48786?\nAnswer: -48777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from nvvvn?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3*n = 27, -5527*t + n = -5528*t - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 l, and 2 s when four letters picked without replacement from {s: 8, m: 1, x: 2, l: 5}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v**3 + 4*v**3 + 17 + 0*v + 25*v**2 - 10*v + v**3. Calculate the smallest common multiple of 53 and j(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/(sqrt(8)*-1) + sqrt(4))\/((sqrt(128) - (sqrt(128) - sqrt(128)*5)) + sqrt(128)) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3360 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 2*t - 11*t**2 - 2 + 2 as g*t**2 + k + i*t and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 13*d**2 + 136*d + 36. What is m(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1709.\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 - 5518.\nAnswer: -5517.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 7:35 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Suppose -2*o + 3*r + 2 = z, -5*o + 6*r - 4*r = -16. Suppose 0 = o*s + 2 - 74. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -6 + 0*f**2 + 0*f**4 + 0*f**3 - 2*f - 3\/5*f**5. Find the first derivative of u(p) wrt p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-22))\/(3\/(-4)). Let k = 359.94 + -366. Let r = 6 + k. Which is the second smallest value? (a) r (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 26 = -b. Suppose c - b*r = 4*c - 996, 3*r - 3 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -706 + 252 + 21*h**2 + 192 + 262.\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3459\/7 + 494. What is the closest to v in -4, -2\/55, 2?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*i = -78*i - 2655. Let q = i - -535. Let t = 0.2 - 0.7. What is the nearest to 0.08 in 5, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.6 and -0.776.\nAnswer: 7.4496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22996188 and 16472170.\nAnswer: 39468358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*q = -5*q + 86*q - 4435929. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*-2)\/(20\/(-8))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 8:09 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 20317586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 133*o - 8. Let q(x) = -2*x**2 - 266*x - 13. Give -5*d(v) + 3*q(v).\nAnswer: -v**2 - 133*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 160739490.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -553.9537 to the nearest 10.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -33*j**2 - 4. Let v(l) = 34*l**2 + 3. Give 3*k(o) + 4*v(o).\nAnswer: 37*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 264684, -1, 3, -4, 1 in decreasing order.\nAnswer: 264684, 5, 3, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -262032 by 1648.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -355 - -353.448. What is p rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**7\/210 - c**6\/40 - c**5\/20 - c**4\/24 - c**2\/2 + 3*c. Let t(s) be the first derivative of p(s). Factor t(o).\nAnswer: -o*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106612*-4.9.\nAnswer: 522398.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -44, 0, 78, 196, 360, 576, 850, 1188?\n\"Answer: g**3 + 11*g**2 + 4*g - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 292582884 by 3147.\nAnswer: 92972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l + 13*l - 2*l**2 + 0*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 32. Suppose 0 = 2*o - 6*o - 12, -4*v = 2*o - 134. Calculate the remainder when v is divided by 2 + g + (1 - 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, q: 13}. Give prob of picking 3 j and 1 q.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1608.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2938 and 1742?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302936167.\nAnswer: 41, 251, 29437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8*v. Let m be l(-2). Suppose -5*u - 23 = -0*h + h, -2*h = u + 1. What is the greatest common factor of h and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2371730 and 12.\nAnswer: 14230380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*m = -112*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11*w - 6. Let n be g(-1). Let b(a) = -a**2 - 18*a - 12. Let p be b(n). Solve -p - 5 = -5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**4\/6 - 5*r**3\/3 - 5*r**2 + 6. Let o(n) be the second derivative of l(n). Find the first derivative of o(a) wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) -1\/2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3427 + -97?\nAnswer: 3340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8 = -4*f. Let i = -2093\/2 - -1043. Which is smaller: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2 + 3\/(-2) + 719\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -370063*g**5 - 6913*g**2 - 27*g wrt g?\nAnswer: -22203780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 6*d - 11*d + 340, -2*x + 334 = 2*d. Let q = x - 168. Put q, 4, 5 in increasing order.\nAnswer: q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2313872 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x = 22*x + 382. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -6 + 0*a**2 - 2\/3*a**3 - 13\/24*a**4 + 1\/360*a**6 + 0*a + 0*a**5. Let z(v) be the third derivative of u(v). What is z(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 406 and 7060166.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -11*w**2 - 364*w - 12. What is m(-33)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 720366708 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 66a1 + 2?\nAnswer: 66a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3960 and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 148363*f + 4895993. Calculate n(-33).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 - 20*a**2 - 23*a - 42. Calculate i(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**7\/14 - 49*p**6\/20 - 9*p**5\/4 + 28*p**4 - 38*p**3 + 57*p**2 - 5. Determine i, given that x(i) = 0.\nAnswer: -19, -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/4*(-12)\/(-10). Suppose -g*n + 3 = k, 5*k = 7*n - 2*n + 15. Find the second derivative of -10*l**3 + 20*l**k - 13*l**3 + 6*l wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p**2 + 4*p**2 - 12*p**2)*(57*p - 57*p - 5*p**2)*(p + 18*p - 2*p + (p + 0*p + p)*(4 - 1 - 4) + 2 - 2 + 2*p + p + 0 + 0).\nAnswer: 1710*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/3)\/(2\/(-18)). Let n(l) = l**3 - 12*l**2 + 4*l + 12. Let a(b) = -b**2 + b + 1. Let d(g) = 6*a(g) - n(g). Determine d(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3*t**2 - 15310205361*t + 15310205361*t.\nAnswer: -3*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 248053 to the power of 1\/2, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/20 and 203\/1320?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 + k - 2. Let c(l) = 3*l**2 - l + 1. Let b(w) = 3*c(w) + 4*y(w). Let s(x) = -5*x + 26. Let j be s(6). Calculate b(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 889, 1012, 1121, 1216?\nAnswer: 1297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2. Let y = -24 + 44. Let k = y - 16. Let g(j) = 0 + 3*j + 4 - k. What is g(x(a))?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*l**2 - 4*l**4 - 12*l**4 + 13*l**4 wrt l?\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Let x(k) = -3*k**2 - 5*k. Let l(w) = -w**2 - w. Let n(v) = -10*l(v) + 2*x(v). Give n(u(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 2*b + 123. Let a be n(12). Suppose 86*z = 5*y + 84*z + a, 0 = -2*y + 3*z + 1. Let m = -17\/156 + 1\/39. Are m and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.1, 0, 1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**3\/3 + 7*i**2\/2 - 7*i - 29. Let k be w(-6). Let v(l) = -l**3 - 13*l**2 - 9*l + 12. What is the units digit of v(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050780.\nAnswer: 2, 3, 5, 83, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-2)\/3*(1 - -2). Let l be m*(-3)\/(1 + (-76)\/64). Is 1 - ((4 - 3) + l) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19991 + 13833 = -1300*s - 1116*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 796, 491, -26, -761, -1720, -2909?\nAnswer: -4334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(156) - sqrt(156)*-3*3 - (sqrt(156)*-3 + sqrt(156))*1)\/((2*sqrt(1452)*2 - sqrt(1452))*-5).\nAnswer: 4*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 + 54. Let n be 85\/2*(-2 + 0). Let c = w - n. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 + 89. What is the closest to 2 in 0.5, -5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1\/15, -375, 4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spr when three letters picked without replacement from {r: 1, p: 2, s: 1, i: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16976, 1, -3, 0.\nAnswer: -16976, -5, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.178? (a) -5 (b) 3 (c) -4 (d) 10145 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -2 + (-17 - -9) + (8 - -90)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -p + 2*r - 1, 3*p - 2*r = 45 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 + -76. Solve 0*m - 2*m + 16 = 2*g, g - 12 = -r*m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 10 = 10*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2569299874927\/2772 + 926875888. Let c = o - -4\/693. Suppose 0 - 625\/4*n**5 + 225\/2*n**3 + 10*n + c*n**4 - 65*n**2 = 0. What is n?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276155 - (1221\/(-185) + (-3)\/(-5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -297, -291, -281, -267, -249?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 3*b**5\/5 + 9*b**4\/2 + 13*b**3 + 18*b**2 + 12*b - 12. Suppose w(i) = 0. Calculate i.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*g - 3*g + 7872 = -6*g for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 11*z**3 - 9. Let c(n) = 0 + 0 - 25*n**2 + 10*n**2 + 13*n**2. What is p(c(m))?\nAnswer: 132*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1300, -2, 1, -215, -5 in descending order.\nAnswer: 1300, 1, -2, -5, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1767125308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 6. Suppose c = d + 3*d - 76. Calculate the remainder when d is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22167*m - 149 - 835 = -22208*m for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 84\/15)\/((-4)\/10). Suppose 5*f = -n*f + 18. Does 12 divide 9\/(-30)*f + 5427\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 + 440*x + 67859. Determine v(-94).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/130275873 and -17\/14276808.\nAnswer: 1042206984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**2 - 13*p + 20. Let t(z) = -z**2 - z + 2. Let a(g) = -r(g) + 5*t(g). Calculate a(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -159, 5.\nAnswer: -159, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 9*z**2 - 6*z - 1. Let v be (-3)\/(-1 + -2) + 4. Suppose 14 + 21 = v*p. Does 19 divide h(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 165571 = -2*j, 23*j + 110382 = 2*t + 24*j. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8991*o - 27 = -4*i + 8992*o, -4*i - o + 3 + 2 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - ((63 - 122) + 149).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 439898 - -4?\nAnswer: 4398a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11531 - 11531.3. Which is the closest to -8\/5? (a) -4 (b) j (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 2\/15, 4, -6.8?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807985639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/65 in 0.3, -1\/9, -1\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101001111100111101000110 (base 2) in base 5?\nAnswer: 10303410244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 844640757 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 8 = -4*y + 2*a, y + 5 = 2*a. Suppose -13 - 5 = -y*q. What is the greatest common factor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -7, 0, -6.\nAnswer: -7, -6, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 389 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 450, 452, 456, 462?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336 divided by -168.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from kffeohrr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 5*k + 7. Let o be w(3). Let n(q) = -2*q**3 - 8*q**2 + 2*q - 10. Let i be n(o). What is the highest common divisor of 195 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 316542 and 39?\nAnswer: 4115046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Suppose 552 = -6*y - 2*y. Let n = y - -70. What is the remainder when g is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.65? (a) -1 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - 4 - 5 - -120) + -5?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2448) + 1 - sqrt(2448))**2 + 5*(-1 + sqrt(2448))**2 + (sqrt(17) + (sqrt(17) + sqrt(17)*-2 - sqrt(17)))**2 + 0 + (-2*sqrt(17) - sqrt(17))*3.\nAnswer: -105*sqrt(17) + 14711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*v - 143 + 58 = -57, -2*n - 100 = 6*v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/408 and -49\/30.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-1\/2)\/q))**(-47))**10\/(q**(-3)\/((q\/(q\/q**(-4)))\/q*q)*(q*q**(-1\/4))**15) assuming q is positive.\nAnswer: q**(-4749\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -418?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t. Let d(f) = 1752*f**2. Calculate d(c(h)).\nAnswer: 63072*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*v**3 + 5*v**2 + 170*v**3 - 5*v**2 - 284*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 1. Let d(b) = 62*b - 558. Let i be d(9). Solve 3*x - j*h = 7*x, -4*h = i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4414*r - 1303*r + 444*r to b + z*r and give z.\nAnswer: 3555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u. Suppose u = 2*a + 3*a - 5*m + 10, 5*a + 2 = 3*m. Solve -2*s + n = 4*n + a, 3*n = 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3607 + -0.50879. What is w rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 872 - 266?\nAnswer: 60b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h + 6. Let v be ((-26)\/(-91))\/(2 - (-18)\/(-7)) + 3. Let i(b) be the second derivative of v*b**2 + 1\/3*b**3 + 0 + 2*b. What is 5*i(z) - 4*u(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-2015)\/(-3224)*8\/(-380).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14\/9, -580, 5, 2\/5, -0.3?\nAnswer: -580","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1.75, 2.44, -3\/8, -1132, -0.4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -4) + 40 + 63 + -75 - (1 - 2).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1934 divided by 901.\nAnswer: 1934\/901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -3)\/(-1 + 2). Suppose -3*g + 15 = -0*g. What is the third derivative of 5*d**3 - d**5 + 3*d**n - g*d**3 wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39\/47 + -443\/987. Let q be ((-8)\/((-16)\/9))\/((-6)\/(-8)). Find the common denominator of 60\/(-5) + 8\/q and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*r**2 + 23*r**2 - 2*r**3 + 21*r**2 + 2*r**5 = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 801 divided by -3\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/2)\/(25\/(-590)) and 109\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 plus 373?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 328211352*p + 8976890965138992.\nAnswer: 3*(p - 54701892)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z + 215*z = 129980292. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8818*s - 8463 = 8911*s for s.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.6 - -1.6. What is the nearest to 1 in a, -2\/7, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*w = 132*w + 58*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 2221*a - 82 = 2223*a - 4447*a, -7 - 44 = -5*s - 4*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25605314?\nAnswer: 2, 7, 107, 17093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 0*a**2 + 2 - a - 4\/3*a**3. What is the first derivative of b(i) wrt i?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0 + 1\/42*w**7 - 175\/6*w**4 + 0*w + 5\/12*w**6 - 1\/4*w**5 + 490\/3*w**3 - 287*w**2. Suppose y(b) = 0. What is b?\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v + 32 = -27*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + -5)*124 + 0 + 2. Let o = l - -225. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1379*y**3 + 3*y**2 - y - 1. Let j be k(1). Calculate the remainder when 72 is divided by 3\/5 + j\/75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*z, 0 = -x - 4*z + 4 + 6. Let i be (-18)\/45 - 94\/x. Solve 2*a - i = s, -s = -5*a + 1 + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/102 and 61\/136?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -558.4 - -495. Let h = p - -63. Which is the biggest value? (a) h (b) -3 (c) -0.2 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214 + -6. Let i = w - -231. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227629500 rounded to the nearest one million?\nAnswer: 228000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153438 or 153716?\nAnswer: 153438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 38997426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6150688)\/(-511) - (-3)\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2025 and 34\/225.\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 24*y. Let z(g) be the second derivative of -29*g**4\/12 + g**3\/6 + 1789*g. What is z(u(j))?\nAnswer: -16704*j**2 + 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 51*c + 37. Let g(y) = -154*y - 109. Let x(l) = -3*g(l) - 8*k(l). Is x(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j - 144 = -45*j. Which is greater: j or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0478 and -11\/1031 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1035 + -0.6035. Let o = -12.2 - -12.6. Sort r, o, -0.15 in ascending order.\nAnswer: r, -0.15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3270.971l?\nAnswer: 3270971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1\/((n*n**5*n)\/n))\/(((n\/((n**(-2)\/n)\/n))\/n)\/(n**(2\/3)*n)))\/((n*(n\/(n*n**0))\/n)**(4\/19)\/((n\/n**(4\/5))\/(n\/(n**(-4)*n)))) assuming n is positive.\nAnswer: n**(-167\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 5:16 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3695 + 110.3305. What is y rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -288.9 (c) 0.3 (d) -1.9 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + 16*l**2 - 5*l + 72. Let r be y(8). What is the greatest common divisor of 80 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -735 divided by -21\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6530 + -6523. Sort 0, k, 3, -4, -8.\nAnswer: -8, -4, 0, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 1)*(-6*u**2 + 0*u**2 + 4*u**2) + (-2*u + 4*u - 5*u)*(4785 - 189*u + 176*u - 4712) to w*u + b*u**2 + s and give b.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a = -4*a + 70. Let r(u) = -232*u**3 - 7*u + 35. Let n(m) = -155*m**3 - 5*m + 23. Let i(o) = a*r(o) + 7*n(o). What is the derivative of i(p) wrt p?\nAnswer: 225*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 8*r - 8. Let d(b) = -b**3 - 10*b**2 + 10*b - 6. Let x be d(-11). Suppose 0 = x*m - 10*m + 40. What is i(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 917 times 0.118292?\nAnswer: 108.473764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1760, -3521, -5282, -7043?\nAnswer: -8804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*462\/5040*18\/(-99)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 5\/12*t**4 - 3*t**2 - 8*t + 0*t**3 + 0. Let x(u) = -3*u. Determine x(m(b)).\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 16. Let b(f) = f - 13. Let r(h) = -4*b(h) + 3*g(h). Determine r(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -7021\nAnswer: -3\/7021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240\/(-80)*372\/248?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**3\/3 + 3*m**2\/2 + 17*m. Let c be b(4). Solve w + c - 5 = 4*k, 5*w - k + 11 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45228 is divided by 467?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*n + 8*n + 16*n)*(4*n**2 - 4*n**2 - n**2) + 2*n**3 + 4 - n**3 + 12*n - 6 to the form s*n**2 + y*n + u*n**3 + i and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + s = 23, -7 = 3*r - 5*s + s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wpblrrvp. What is prob of sequence wvrp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8397*t**3 - 5*t**2 - 29*t + 18. Let y be h(14). Suppose 0 = -24*r - 0*r + y. Round r to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-12)\/4 + 3 + 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9*j + 156 = 3*m, 16 = -4*m. Let y be 6\/j - (-62580003)\/21. Round y to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 2 + -5 + 1 + (10 - 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.63357 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/11)\/(-9))\/((-108)\/(-18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = 2*p. Let f(j) = j**3 + 2*j**2 + 2*j + 1. Let m be f(-1). Let g be -4 + m*(-3)\/(-9). What is the closest to p in -2\/19, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7453*x. Let f(t) = -56*t - 60*t + 227*t - 60*t - 52*t. What is f(b(w))?\nAnswer: 7453*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -508\/137 or -3?\nAnswer: -508\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19126?\nAnswer: 2, 73, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63314583.\nAnswer: 3, 3373, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 - 47. Let y(w) = -w**2 + 13*w - 3. What are the prime factors of y(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000531573411 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 47*u + 3*u.\nAnswer: -38*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**6\/40 + 5*c**3\/6 + 7*c**2. What is the derivative of p(i) wrt i?\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-22) + (-168)\/(-440). Which is the nearest to -1? (a) 0.1 (b) 1\/2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52 and -3.015?\nAnswer: -156.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**4\/6 - 30*d. Let i(o) = -161 + 168*o + 369 - 206. Give a(i(v)).\nAnswer: -56448*v**2 - 1344*v - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/7 + 2149034*n\/7 - 2149036\/7 = 0 for n.\nAnswer: -1074518, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*i = -78, -3*h + 0*h + 5*i = -86. Suppose -h - 26 = -4*p. Calculate the greatest common divisor of 96 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(128) + -4 + sqrt(128))*3*-3)**2 - ((sqrt(128) + -1)*-2 + sqrt(128) + -1 + 4)).\nAnswer: -10360*sqrt(2) + 42764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 + 6*l)*(0 + 0 - 2)*(-3 + 4 - 2) + 5 - 2*l - 5.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 113123?\nAnswer: 113121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*c + 67*c - 988 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 64 = -4*r + a, -4*a = -r + 16. Suppose 0 = 2*z + m - 16, -r + 4 = -2*z - 2*m. Let x be (z + -1)\/1 + -1. Solve -x = -5*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1181*j + 1187*j - 48. Which is the closest to -0.2? (a) -5 (b) j (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10412*f**4 + 4958 wrt f.\nAnswer: -41648*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*-1*1)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 134476, 268952, 403428, 537904, 672380?\n\"Answer: 134476*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 - 76. Calculate the smallest common multiple of 8\/(-10)*c\/(-2) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + 5)*2 - (-4 - 1). Solve -d*t + 7 = 5*m - 19, -t = -2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 0 - 3*s - 5 - 11*s - 9 - s**2. Is g(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 16*g + 11*g**2 - g**3 - 9*g - 29 + 8*g**2. Does 37 divide d(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t**2 - 6*t**2 + 13*t**2. Suppose 12*y - 72785 + 10733 = 0. Let s(j) = 5175*j - y*j - 1 - 3. What is s(u(q))?\nAnswer: -8*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzzn when four letters picked without replacement from nzznkknnknnn.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 7:48 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30177)\/504 + 58)\/(3\/(-4)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.05296.\nAnswer: 0.015888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 1:32 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360*p - 102 = 205 + 1133. Suppose 0 = -5*v + 9 + 6. Suppose 4*d - s = 34, 0*d - 5*d - v*s = -51. Calculate the remainder when d is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 338420500 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129244 and 42344.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 93?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 0. Suppose -2*k + 21 = 5*q - k, 20 = 4*q + b*k. Let c = -0.1 + 0.1. What is the second smallest value in 1\/4, q, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (2 - -8) - (-4 - -3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**5 + 2*f**3 + 3*f**2 + 2*f. Let t(n) = 12*n**5 - 7*n**3 - 10*n**2 - 7*n. Let k(i) = -7*d(i) - 2*t(i). Find the third derivative of k(m) wrt m.\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -263362604 divided by 4\nAnswer: -65840651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = -39*y - 27*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**5\/120 + m**4\/8 + m**3 - 6*m**2. Let f(s) be the first derivative of h(s). What is f(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18, -96, -228, -414, -654?\n\"Answer: -27*k**2 + 3*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 0*z - 3 - z + 0. Let p be c(-6). Solve p*d = -d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -21 + (2 + -9 - -11 - -2) + -7.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 4, h: 9, l: 3, a: 1}. What is prob of sequence yhja?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 150, 3, -25, -4, 7, -2 in decreasing order.\nAnswer: 150, 7, 3, -2, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1555128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 18\/19 (b) 3 (c) 2\/31 (d) 0 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -3*q - 14, -2209*y - 3*q - 16 = -2214*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 2*f**2 - f - 4. Let m = -8 + 12. Let i be (-12)\/16*(m + 0). What is the units digit of c(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 0)*(-61 - -17). Suppose 54 = 4*n - 2*d - 10, -2*n = 5*d - u. Put -3\/5, n, 5 in decreasing order.\nAnswer: n, 5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 115*g + 21. What is d(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 14 = 2*o, 4*d - 2*d - 4*o + 8 = 0. Sort -0.06, -5, d in ascending order.\nAnswer: -5, -0.06, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82628 less than -82629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z**2 + 3*z + 2. Calculate r(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - f + 4. Let z be n(3). Let s = z + -10. Suppose 185 = -s*i + 5*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 1:04 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 33\/(-6) + (-29)\/(87\/(-18)). Let y = 11 + -10.95. Let v = 6.95 + y. What is the biggest value in v, b, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2020402845.\nAnswer: 3, 5, 1662883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0407 - 0.0593. Let h = 440\/13 - 34. What is the nearest to d in -0.4, h, 6.1, -1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5487795 = 19*p - 1729595. What is p rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2054842 and 107\/12.\nAnswer: 12329052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19552.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80673934 and 1594?\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 943 - 955.18. Let m = -0.18 - s. Let c = 11.7 - m. What is the closest to 0 in c, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3634055 is divided by 358.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*s - 58*s = 227052. Which is the smallest value? (a) 0.5 (b) 6 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*v**4 + 1463*v**4 + 808*v**4 + (-2*v + 2 - 2)*(v**3 + 2*v**3 - 2*v**3) to the form r*v**3 + z*v**4 + n*v + h*v**2 + c and give z.\nAnswer: 2316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 759, 750, 735, 714, 687, 654, 615?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14709042 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 - 76. Let g = h + 22. What is the second smallest value in g, -3\/4, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 + 7*y + 21. Give v(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42066 divided by -18.\nAnswer: -2337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 125. Let c be q(0). Suppose 3*s + s - 5*j - 1167 = 0, 4*j = 4. Suppose c = -4*t + s. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*h**2 - 28*h + 0.\nAnswer: h*(h - 84)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 3 - 3)*(0 + 0 + 1)*(-57584 + 57584 - 403*k + 5*k + k - 5*k + (2 - 4 + 4)*(0 + 0 + 2*k)).\nAnswer: -796*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**4 + 16399*l**2 - 29334*l.\nAnswer: -12*l**2 + 32798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 8*z + 1685 = 5*g, -2*z + g = -839. Let y = 426 - z. Solve y = -5*n - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 = -2*j - 7, -3*j = 4*k + 16. Let n(q) = 2*q + 14. Let l be n(-10). Is (-16)\/l*(-21)\/j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2174 or 2175?\nAnswer: 2175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(2 + (-57345)\/15). Which is the third biggest value? (a) s (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*-3)\/sqrt(8) + -5*-3*sqrt(11) - (4 + sqrt(275)*-2 + sqrt(275) + sqrt(275) - sqrt(275))*-5)**2.\nAnswer: -520*sqrt(11) + 2259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370991 = -3*u - 5*s, 18*s - 14*s = -u + 123645. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 9. Let j(i) = 0*i + i - 15 + 5*i**2 + n. Calculate j(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.29+0.118162\nAnswer: 1.408162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.001 + -0.00051. Round c to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -204 - -213. Let b(k) = -k**3 + 9*k**2 + 6*k - 50. Let h be b(i). Solve j - 5*l = -2, -j - 2*j = h*l + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44.8 + -44.6. What is the closest to 0.4 in 4, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 105564.\nAnswer: 316692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -503 * -22.\nAnswer: 11066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -8*q + 19*q. Which is the smallest value? (a) q (b) 9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (182 - 119) + 5 + 0 + 5 + -19?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75551356 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(2) - (sqrt(2) + 1)*1) + -5)*-4 - -5*(-1*(sqrt(2) + 1) + -4*-2*sqrt(2)))*2)**2.\nAnswer: 5320*sqrt(2) + 11244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 459940b?\nAnswer: -4599406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 3*x + 2*x**2 - 3 + x**3 + 6. Let g be (1\/2)\/((-1)\/(-4)). Is i(g) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 0. Let b(i) = 137*i + 131*i - i**2 - 2 + 137*i - 408*i. What is b(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.97336 and -760132.9.\nAnswer: -760131.92664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-2400)\/(-1206) + -2). Suppose -2*f = -t + 71. Let m = -24 + 50. Calculate the highest common divisor of m and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*b - 2. What is the closest to 1 in b, 2\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -8, 18\/67, 0.093 in ascending order.\nAnswer: -8, -0.2, 0.093, 18\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(sqrt(110) + -2*sqrt(110)*4)*3)\/((-1*sqrt(1440))\/(sqrt(4) - (sqrt(144) - -2*sqrt(144)))).\nAnswer: 2142*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + 2. Let k(h) = 1. Let l(q) = -5*k(q) + v(q). Let m(x) = 5*x - 8. Calculate -8*l(b) + 3*m(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from {m: 3, n: 8}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z**3 - 6*z**2 + 5*z - 3. Let i(t) = -15*t**3 + 13*t**2 - 11*t + 5. Let y(m) = 6*i(m) + 13*j(m). What is the units digit of y(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -318911 from -172.\nAnswer: 318739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3481 + -1)*(-2672)\/(-4676). Is 0 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*n**6 - 31*n**5 + 3*n**2 - 38*n?\nAnswer: -960*n**3 - 1860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 - 3*w**5 - w**5 + 5*w**2 - 5*w**2 - w**5 + (-4*w**4 + 9*w**4 - 7*w**4)*(0 + 0 + 3*w) - 3*w**5 - w**5 + 5*w**5.\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2237*c**2 - 2251*c**2 + 4485*c**2 + 21*c = 0. What is c?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4451926 * 0.4\nAnswer: 1780770.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 0. Let y = -5 - q. Solve o - y = -5*u, -2*u - 3*o = 14 - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l - 14 = -2*u, -4*l = -5*u - 35. Suppose 34 = l*c - k, -3*c + c + 8 = k. Calculate the remainder when 19 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/17 - 64\/85. Let u = 11 + -18. Let q be (-12)\/u + (-2)\/(-7). What is the closest to q in g, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u + 0*u + 2*u + (3*u + 2*u - 3*u)*(93 + 8 - 25).\nAnswer: 150*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 6:45 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2212 (b) -1 (c) -4456\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/5)*o**(-2\/17))\/(o*o**(1\/10)*o*o*o**(-4)) assuming o is positive.\nAnswer: o**(47\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 287*w + 5639. Calculate f(-21).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 463100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 179 in -5, 0.2, -4563?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1133 + -1.0133. Is v bigger than -184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1730993 + 1.173. Round q to six dps.\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -11.855. Let s = 0.184 - 0.26. Let d = m + s. What is d rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 11:46 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5085 and 495.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s**2 + 2*s - 11. Let u(w) = -2*w**2 - 50656934*w + 5 + 50656933*w + 4*w**2. Let i be -1*-1*(-3)\/(-1). Calculate i*j(z) + 7*u(z).\nAnswer: -z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 1:11 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = -58*s + 1409. Solve -t = -5*n - 14, -5*n - s = -n - 3*t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 349125?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 228461 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*(-175)\/(-1680)*1*18\/1?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w - 2*w + (-3 - 1 + 3)*(3 - 3 - 2*w) + 2*w - 3*w + 3*w + 6*w - 17*w + 43*w + (0 + 1 + 0)*(-w - 2*w + 5*w))*(-3*w + 2*w**2 + 3*w).\nAnswer: 78*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 123 + 119. Let r(f) = -f**3 - 5*f**2 - 4*f + 4. Let g be r(-4). Suppose -4*o = -5*x, g*x = -3*o - o. Solve o*h = c*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0865431 rounded to three dps?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.82 - -0.34. Let i = -0.54 - h. Let k = i + -0.44. Which is the closest to 4? (a) 0.4 (b) -1\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 14*l**2 + 2269*l + 62360. Determine h(-127).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -93*f**2 + 128*f - 3. Determine y(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3831 + 9050. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 + -0.06. Which is smaller: w or 2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - y + 4*g = 60, 12*y - 80*g + 76*g = -108 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 10*h**2 + 103*h + 576. Let r be y(-7). Let b(u) be the first derivative of 6*u + 19 - 1\/2*u**r. Give b(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 3 - 3)*(-3*q + 4*q**2 + 3*q) - 2*q**3 - 3*q**3 + 6*q**3 + 0 + 0 + q**3 + 3*q**3 - 3*q**3 + 3*q**3 + q**2 + q**3 - q**2 + 2*q.\nAnswer: -2*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2052 divided by 3.\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s = -27 - 41. Suppose 4*d + 245 = i, 2*d = s*d + 2. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1229352500 to the nearest one million.\nAnswer: -1229000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:48 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -98185438 divided by 6086?\nAnswer: -16133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 3. Let r be n(4). Let k = 4 - r. Solve -4*m - x + 4 + 9 = 0, 3 = k*x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12932499 to the nearest integer?\nAnswer: 3596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1431 + -1422. Let x(i) = i**3 - 2*i**2 - 2*i. Suppose 3*l - l - 8 = 0. Calculate the remainder when x(l) is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -101110001000000?\nAnswer: -101110000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one halves of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - (-6 - -2 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142 divided by -5.\nAnswer: -142\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 11:04 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/5*m**2 - 2\/5*m**3 + 2\/5*m + 18\/5.\nAnswer: -2*(m - 1)*(m + 1)*(m + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 5. Let o be x(7). Let s = 19 + -21. Let r be (-4)\/8*s\/7. Put o, -0.3, r in descending order.\nAnswer: r, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -4*h - 2*d, 5*h + 5*d = 2422 - 2467 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42660984803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**1\/b))**50*b\/(b\/((b**(-2)\/b)\/b*b))*b**(-1\/8))**(-1) assuming b is positive.\nAnswer: b**(25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (2 - 5) + -2 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.1 + 63.1. Let v = 46 - n. Let i be 2\/11 + 0\/1. Which is the third smallest value? (a) v (b) -0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -0.307708520161959?\nAnswer: 1.692291479838041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*r + 47756 + 124144 = 0, 0 = -2*t + 3*r + 68760. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**3 + 2514*q**2 + 452469*q + 2624958 = 0.\nAnswer: -581, -251, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1236482.\nAnswer: 2, 13, 19, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-14)\/350*10.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 6*q**2 - 2*q - 5. Let d be u(5). Let t = d - -109. Let w = t - 44. What is the remainder when 71 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11484 is divided by 526?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -21 (b) 1 (c) 5 (d) 3 (e) -2\/57 (f) 0.4 (g) 27\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-30) + 16\/((-1920)\/(-924))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2. Let r(c) = -294*c**2 + 72*c - 1659. Give r(o(g)).\nAnswer: -294*g**4 - 72*g**2 - 1659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-3))\/q**(2\/11)*(q*q**0)\/q**(-7))\/(q**4\/q**(-5)*q\/(q\/((q\/q**2)\/q))*q**(-2\/3)) assuming q is positive.\nAnswer: q**(-17\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 + 0*f**4 + 2*f**4)*(f + 12*f + f).\nAnswer: 42*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -11*c + 1. Let z(d) = 1654*d + 4303. Let v(h) = -3*m(h) + z(h). Find the first derivative of v(o) wrt o.\nAnswer: 1687","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91877207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(5) - -2*sqrt(605))**2 + -1 - -3*(3 + sqrt(45)\/(-3*sqrt(9)))**2)*4.\nAnswer: -94888\/3 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 96921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3\/4 - 283*l**2\/2 + 80327*l\/4 - 203445 = 0. What is l?\nAnswer: -685, 11, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 49816, 4 in ascending order.\nAnswer: 0.1, 4, 49816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-20))\/((-3)\/(-60)) + (-440)\/48?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 135?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(700) + (3*(1 + sqrt(700)) - sqrt(700)) + 3 + -2 + sqrt(700) + 1 + -5)**2.\nAnswer: -80*sqrt(7) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, x: 11}. What is prob of picking 1 k and 2 x?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z - 195. Let y be b(0). Calculate the remainder when (-1)\/(-3*(-5)\/y) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 36*d**4 + 3*d**2 - 236*d - 3*d**2 - 153 + 71*d. Differentiate s(l) wrt l.\nAnswer: 432*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 5*p + 2*l + 130, 3*p - 4*l = 78. Suppose 0 = y + 4*y - 60. Suppose 12*o - 10*o = y. Calculate the least common multiple of p and o.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 1. Let x be v(-3). Let o be (5\/x)\/(4\/(-8)). Which is the closest to -1? (a) -4\/7 (b) o (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g - 12. Let j be h(-9). Suppose 5*q + 0*t + 4*t = 218, 4*q - 164 = 2*t. Calculate the highest common factor of q and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**5 + 47836*z**4 + 142224840*z**3 - 4749023872*z**2 - 10066564480*z = 0 for z.\nAnswer: -5996, -2, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101804\/33 - -3086. Find the common denominator of -83\/225 and a.\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4818443173?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11160, 11104, 11012, 10884, 10720?\nAnswer: 10520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.061? (a) 77 (b) 2\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.07 and -62.\nAnswer: -61.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -9\/5166235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3301 - -5171. What is the lowest common multiple of 15 and h?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14252, 14250, 14248, 14246, 14244, 14242?\n\"Answer: -2*r + 14254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200, -846, -1946, -3500?\nAnswer: -5508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - 7*p - 2*p + 5*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 32*c**2 - 145242*c + 145242*c + 2*c**3)*(34*c**2 - 49*c**2 - 16*c**2).\nAnswer: -62*c**5 - 992*c**4 + 31*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) + 2*sqrt(300))\/sqrt(5) - (sqrt(60) + (1*sqrt(480) + sqrt(480) - sqrt(480))\/sqrt(8)))\/((sqrt(108)\/sqrt(3))\/sqrt(3)*2))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 207067006550623 and 0.5.\nAnswer: 207067006550623.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10*r**3 + 18*r**2 + 21*r - 27. Let i(h) = 3*h**3 - 5*h**2 - 2*h. Let o(v) = -d(v) - 3*i(v). Determine o(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 - -100. Let f = 49 - n. Let l = f + -6.0000054. What is l rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 4894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2 - 2336*m = 0.\nAnswer: 0, 1168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - -3.98. Let y = -1.2 - -2. Let p = -0.9 + y. Which is the third biggest value? (a) 7\/3 (b) n (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-204997)\/52)\/(-13) - 3\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 1 - h**3 + 7 + 2 - 16 to the form w*h**3 + a + y*h + v*h**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10604*0.5\nAnswer: 5302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3876 in -2\/19, 9\/8, 0.2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -0.7, 0.4, -0.722?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3434922 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 185 = w + 2*v, -2*w + 365 = -5*v. Suppose l = -4*l + w. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q - 514. Let d be n(-110). Solve 111*h + d = 105*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*q = -4*n - 89, -365 - 640 = -3*q + 39*n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 118*p**3 + 3*p**2 + 6*p + 14. Calculate n(-3).\nAnswer: -3163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/42 + (-248)\/(14974736\/4845)?\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktttittkk. What is prob of sequence itk?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*-1*(-4)\/(-16)*4. List the prime factors of 864\/180*(95\/t + 0).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*6\/25*5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 1:25 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 8 + (11 - 14). Solve -d + s*u - 3 = -2, -1 = -2*d + 5*u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -1. Let k be -7 - (-3 + (-7 - -4)). Let s = 1 - 1.5. What is the closest to k in s, 5, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -38*m**2\/5 - 2186*m + 221388\/5 = 0. Calculate m.\nAnswer: -5826\/19, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.05, 0.77 in increasing order.\nAnswer: -0.05, 0.77, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-27)\/(-6) + (-77)\/22)*675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 5*n + 25, 209*s + 23 = 204*s - 4*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x - 4*z = 39*x - 40018, 2 = z. What are the prime factors of x?\nAnswer: 2, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52662 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*b - 2*t - 2304 = 0, 1403*b - 706*b = 701*b + 3*t + 124 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(931)))**2 - sqrt(931).\nAnswer: -455*sqrt(19) + 14960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/11)\/h*h*h**(-3\/7)*((h*h**(2\/9)*h*h*h*h)\/h*h)\/(h**(-2\/9)\/h))**(-48))**(-16) assuming h is positive.\nAnswer: h**(1099520\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18037, 36390, 54743?\n\"Answer: 18353*g - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8393 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -6 (b) -0.1 (c) -10\/3 (d) -3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 790.0787 micrometers?\nAnswer: 0.0000007900787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11330, -22031, -32732, -43433, -54134, -64835?\nAnswer: -75536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92.7 - 93. Which is the nearest to 2? (a) 0.3 (b) p (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(3)*6 - sqrt(20))\/((1*sqrt(70))\/sqrt(7))*5.\nAnswer: 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3414 - 224224120?\nAnswer: -224220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.5 (b) -3\/5 (c) -1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38.79 + -39. Let u = m - -0.210008. What is u rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -3*d + 12, 5*d + 3*f + 5 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 9:02 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.35409 tonnes in kilograms?\nAnswer: 13354.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 1985 - 179. Let o = -241 + z. Calculate the greatest common factor of o and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q. Let a(r) = 4*r. Suppose -4*j = -3*j + 4. Calculate j*a(m) - 5*f(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 26, 17, 6, -7?\n\"Answer: -a**2 - 6*a + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 9) in base 4?\nAnswer: -2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**5\/2 - 12*n**4 + 30*n**3 - 15*n**2 - 63*n\/2 + 27 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.407768 years to months.\nAnswer: 52.893216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 17 = -j, -j - 1671 = -31*g - 1796 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04134 + -0.15866. Sort 3, -62, n.\nAnswer: -62, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5479488910?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*r - 910*r - 2275*r - 782*r.\nAnswer: -3771*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 + 215 = 4*r. Let l = 40 - 40. Suppose l = r*h - 571 - 969. List the prime factors of h.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, y: 6, z: 7}. Give prob of picking 1 y and 2 z.\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*a = -18, -s - 4*a - 48 = -5*s. Suppose 4*j + 18 = s*j. Let r(g) = g**2 - 2*g + 1. Let l be r(1). Sort j, -4, l in decreasing order.\nAnswer: j, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-10)*-4)\/((-1)\/(-15)). Suppose k*r - 8365 = -1843. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-72)\/(-9) + -8)\/((-1)\/(-1)). Solve g = 5*u - 28 + 53 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j - 8 + 171 = -90 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5801797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**5\/30 - 5*b**4\/6 + 4*b**3\/3 - 13*b**2. Let f be t(10). Suppose 7*k = f*k - 2. Solve k*h = h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 10?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 113. What is the smallest common multiple of j and 88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28108, -112380, -252808, -449368, -702036, -1010788, -1375600?\nAnswer: -1796448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 3*f + 5 = 2*g, 3*f = -9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/3 + 10\/21. Put j, -0.5, -3 in descending order.\nAnswer: j, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20835623 divided by 15\nAnswer: 20835623\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) -0.5 (c) 1.9 (d) 10\/19 (e) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, o: 4, q: 1, z: 4, a: 1}. What is prob of sequence zozt?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*(((sqrt(64)\/sqrt(2)*1 - sqrt(160)\/sqrt(80)) + -3)*-1)**2.\nAnswer: -72*sqrt(2) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 11*n**3 - 6*n. Suppose -4*q + 2*r + 14 = 4*r, 4*q + 3*r = 15. Let m(c) = 2*c + 3*c + 9*c**3 - 19*c**q. Calculate 5*l(p) + 6*m(p).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 1740 = -4*g, g - 19*a - 426 = -21*a. Does 20 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfmiipiimiimmimii. Give prob of picking 1 i and 2 m.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6 - 2*o + 2*o + 4*o - o. What is a(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrruuurrur. What is prob of picking 3 u?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*f - 20 = 0, 2 = 4*x - 2*f - 0*f. Suppose -5*p - 1392 = 3*b + 1343, -10 = -x*b. Round p to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (160\/(-48))\/((-1)\/(-3)). Let i(l) = -7*l - 60. Let r be i(o). Solve 5*x = 10, j - 2*j - r = -3*x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**2)\/(l*l\/(l*(l*l**(4\/5))\/l)*l) assuming l is positive.\nAnswer: l**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 j when three letters picked without replacement from {h: 4, j: 2, f: 8}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 98*a**2. Let u(v) = -194*v - 2*v + 197*v. Give q(u(r)).\nAnswer: 98*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -5650.\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2569 + -1833. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a hour in seconds?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 96348?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/185 - 12\/(-35)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 28 + 1)*(2*y + y + y)*(-4 + 2 - 1 + (1 + 0 - 3)*(1 - 4 + 5) + 3 - 3 + 2 + 3 - 3 - 5).\nAnswer: 1080*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 5. Let m = r - -2. Sort 4, -2, m in decreasing order.\nAnswer: 4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 809168, 809165, 809160, 809153, 809144, 809133, 809120?\n\"Answer: -i**2 + 809169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 8. Let n be d(-5). Let r(x) = x**2 + x. Let t be r(0). Suppose -2*b + 3 + 5 = t. Put n, 5, b in increasing order.\nAnswer: n, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5272 divided by -3576.\nAnswer: 659\/447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*(sqrt(975)*-1 + sqrt(975)))\/(-6*sqrt(30)\/(1*sqrt(10))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 568 = 4*a - 3*b + b, 0 = -3*a - 5*b + 452. Calculate the greatest common factor of 372 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 2 - 3)*(h**4 - h**4 - h**4)*(-84*h + 19 - 19 + (1 - 1 + 1)*(h - 4 + 4)).\nAnswer: -1660*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 43139000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-9)*l**(-1\/13) assuming l is positive.\nAnswer: l**(-118\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 g when four letters picked without replacement from {q: 3, i: 3, g: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129315 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874590251.\nAnswer: 347, 2520433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1669*j - 21340 - 357 = 0 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6.1 times 43\nAnswer: 262.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.7 - -13. Let u = l + 0.75. Let a = u + 0.2. Round a to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g - 50. Let h(p) = 10*p - 75. Let z(d) = -5*h(d) + 7*k(d). What is the units digit of z(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13442621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -17 - 623. Suppose -x + 0 = 8*u. Put -0.4, u, 1 in descending order.\nAnswer: 1, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -3, -139, 3.\nAnswer: -139, -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1825722 - -141887.33\nAnswer: 1967609.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*l = 2, 2*g + 2*l - 5 - 3 = 0. Let p(v) = -392*v**g + 198*v**2 + 195*v**2. Let h(k) = -58*k. What is p(h(q))?\nAnswer: 3364*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -14*a + 27. Let p(s) = 6*s - 12. Let i(y) = 4*g(y) + 9*p(y). Let z(x) = x**2 + 52*x. What is z(i(u))?\nAnswer: 4*u**2 - 104*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 + 838*a**2 + 4656*a - 1796. Calculate k(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 25. Which is greater: 5\/6 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1622*l - 34664 = 384*l for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -66.59458777425.\nAnswer: -65.59458777425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7\/48 + 3\/16. Let q = -1.1 + 0.7. Let f = q - -5.4. Which is the smallest value? (a) 4 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 48 = -2*t, 4*p - 2*p - 4 = 0. Suppose 241 - 66 = t*l. Solve 3*y + 20 = l*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6063 is divided by 65?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1798456 = 85*j + 28*j - 6*j. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117938819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -6*7429\/3705?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-22)\/33 + (-7)\/3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence out when three letters picked without replacement from {t: 1, o: 11, u: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/280)\/(2\/10)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25001*s**3 - 1181*s**2 - 4*s wrt s.\nAnswer: 150006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20783231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 8*k**2 + 4*k - 6. What is the units digit of t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 46\/3*m + 1\/3*m**2 + 529\/3 = 0.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**6\/360 - v**4\/6 + 2*v. Let i(k) be the third derivative of c(k). Let w(g) = -g**2. Determine i(w(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 26*o**2 - 58*o + 711. Calculate a(27).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.242 - -5.812. Round i to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2537, -2530, -2517, -2498?\n\"Answer: 3*u**2 - 2*u - 2538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 14 + 34. Suppose 0 = 7*l - w - 13. Suppose 0 = -2*o + x + 4, 3*o = 6*o - l*x. Solve -5*y + 3 = -4*s - 2, o*y = -s + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u**2 - 9*u**2 + 2*u**4)*((0 + 0 + 2)*(-u + 0*u - u) - 2*u + 2 - 2)*(-21 + 2 + 0).\nAnswer: 228*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.204 + 3.204. Which is smaller: 33 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2. Let t(b) = -2*b - 4. Let f(z) = -2*z - 5. Let p(v) = -2*v - 5. Let m(s) = 6*f(s) - 7*p(s). Let i(g) = -4*m(g) - 5*t(g). Determine d(i(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6016*x + 11. Is c(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004011 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13169.\nAnswer: 13, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/35 + 98\/343?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -3, 2, -0.5, -0.4, 695\/133?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(15)\/sqrt(108) + (-2*sqrt(45))**2).\nAnswer: sqrt(5)\/2 + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*k = 2*d + 16, -3*d + k - 8 = 0. Calculate the remainder when (2 - -7)\/(d\/(-2)) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -760 + 728. What is the remainder when 62 is divided by (104\/g)\/(6\/(-72))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 29\/3, -4, -1\/2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19, -1\/8, 0.3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 1:00 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -44*a + 3116. Give o(71).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q. Let x be c(5). Let o(z) = 13*z - 12. Let y(p) = 20*p - 18. Let b(r) = 8*o(r) - 5*y(r). Is b(x) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 969 + -968.999996876. Round j to 7 decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26922918 a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 29824.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxy when three letters picked without replacement from {x: 1, y: 2, z: 2, j: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/21)\/(12\/90)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 95678?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4530 is divided by 489.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1260 and 14\/(-4) + 4 + 51127\/58?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 13*i**2 - 363*i - 2209. Calculate the remainder when d(-6) is divided by 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((3 - 1) + 1 - (10 + -12)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7447713415?\nAnswer: 5, 251, 449, 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d + 1. Let o be z(3). Let l(r) = -4201 - r - 4206 - 5*r**2 + 8412 - r**3. What are the prime factors of l(o)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 12, m: 2, h: 5}. What is prob of picking 1 a, 2 m, and 1 h?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11776*r + 1202*r + 580026 = 3280*r - 215210 for r.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3326706?\nAnswer: 2, 3, 29, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1648, -1633, -1618, -1603, -1588, -1573?\n\"Answer: 15*z - 1663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2448042 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90394.36 nanograms to milligrams.\nAnswer: 0.09039436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 104a (base 11) to base 14\nAnswer: 70d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 9*n - 19. Let r(j) = 3*j**2 - 4*j + 8. Determine 3*d(b) + 7*r(b).\nAnswer: 18*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 - (12 + -11 + 7). Solve -q = -2*m - t, 3*m + 5*q - 12 + 46 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 - 4*t + 4*t)*((0 - 1 + 0)*(-3 + 6 - 1) + 0 + 5 - 2 - 2 - 6 - 1).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 7:21 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(3\/10)*(-317 + 314) - (-70)\/9?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30414, -60869, -91362, -121893?\n\"Answer: -19*r**2 - 30398*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -49669 divided by 108\nAnswer: -49669\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) + 24\/(-18). Let m(l) = -3*l**2 + l. Let y(r) = -1. Give x*y(w) - m(w).\nAnswer: 3*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 134452912?\nAnswer: -672264560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-196))\/((-55)\/(-550)*(-10)\/4)*238?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 56\/(-30) - (0\/(-2) + -2). What is the smallest value in x, -1, -2, -1\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4194159 centuries to millennia.\nAnswer: 0.04194159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1062 + -1643. Let k = d - -291. Round k to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 11806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 0 - t**2 - 7 - 3. Let n = 12 - 7. Suppose -3*j - 3 = 2*f, n*j + 5 = -5*f + 2*f. Give z(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l + 8*l = 35 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9723, 9747, 9771, 9795?\nAnswer: 9819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1387195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-30) + 28\/10. Suppose -15 + f = -3*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/276 and -28\/9.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 6490246.\nAnswer: 194707380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1718597514 is divided by 3297.\nAnswer: 3294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 129\/6044 or 1234?\nAnswer: 1234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2882819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 s, and 1 x when three letters picked without replacement from iksbsxxxssdsb?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i - 4*c + 14 = 0, 8 = 4*c. Let y be 3\/i + 5\/2. Factor n**3 - 5*n**2 + 4*n**y - 3*n + 2*n - n.\nAnswer: n*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - -3) + (127 + -155 - (4 - 20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-137)\/(-274))\/((-2)\/24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 18*s + 5*w, -5729*w + 5735*w + 62 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 10:57 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 941.2382 years?\nAnswer: 0.9412382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10) + 132\/(-55). Let h be (-24)\/(-15) - o\/5. Suppose h*c = -2*c - 7800000. What is c rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 26 - 294. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0401 and -26.\nAnswer: -1.0426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001825822 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -3*b - 15, 0 = -3*o + 5*b + 3696 - 3673 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-24))\/(6\/((-216)\/(-14))).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 - a**5 - a**5 + (-4*a**5 + 2*a**5 - 8*a**5)*(-1 + 2 - 2).\nAnswer: 7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**3\/6 - 2*c**2 - 2*c. Let u be r(-7). Let h(o) = 1 - 3 + 2 + u*o**2. Let w(p) = 2*p. Give h(w(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/(-16))\/15)\/(494\/208)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -103 - -111. Calculate the least common multiple of z and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24364.972 - 24336. Round i to 1 decimal place.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 3*x. Let f(p) = 391*p + 3515. Let m be f(-9). Give v(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*w - 15*w - 140 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7176165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 112, 3, 4, 0.1, -2\/3, -85?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70968620.\nAnswer: 2, 5, 61, 58171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2136 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 12:30 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514 - 1046 = -13*u + 1743. Calculate the smallest common multiple of 155 and u.\nAnswer: 5425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**4\/2 - 2*f**3 - 9*f**2 - 10*f - 7\/2 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 60008403 a multiple of 1311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -85*n. Let o(s) = 358*s**2 - 2*s - 2. Calculate i(o(x)).\nAnswer: -30430*x**2 + 170*x + 170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5184737108 minus 6?\nAnswer: -5184737114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from {o: 2, q: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvkjvkwvpvpwvkvvv. Give prob of sequence vp.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4 + 140. Suppose 2*c + c = 3*y - 60, 0 = -3*y + 2*c + 64. Calculate the highest common divisor of y and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 702.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.489779 millennia to months.\nAnswer: 53877.348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35794605 * -2.7\nAnswer: -96645433.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 1 (c) 2641570 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.014 - -5.\nAnswer: -4.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**5\/20 + f. Let h be a(0). Let l be h + 13 + 1 - 2. What is the greatest common factor of l and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, c: 3, a: 2, y: 3, x: 4, s: 1}. What is prob of picking 2 c and 1 s?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3 + 0 = 5*y, r + 3*y - 8 = 0. Let k(n) = 278574*n + 18. Let w be k(r). Round w to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23722559027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from sozseoeaoeaoszaze.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w. Let l(z) = 10 + 2*z**2 - 2*z**2 + z**2 - 9*z. Let q(k) = k**2 - 10*k + 8. Let f be q(10). Let h be l(f). Calculate x(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s**2 + s**2 - 3*s**2)*(-3 + 3 - 2*s) + 2*s + 1280950 + 107162*s**3 + 1280949 - 2561899 as i*s**2 + n*s + b + g*s**3 and give g.\nAnswer: 107160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 522.25 take away 0.23?\nAnswer: 522.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 - -5)\/((-2)\/2). Put 2, 0, b in descending order.\nAnswer: 2, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 20 - (2 + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51.9993 - 8.1163. Let z = 44 - o. What is z rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-1) + -2)*1. Suppose -l = -0*l - 1. Calculate the highest common divisor of l and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -2031?\nAnswer: -2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*v**4 + 63*v + 400 wrt v.\nAnswer: 12*v**3 + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 16 = 4*s - 18*u, -16*s - 5*u = -94. Determine p so that -39\/2*p**2 + 18*p + s*p**3 - 6 - 3\/2*p**4 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 11. Let i(v) be the third derivative of 5*v**4\/24 + 5*v**3\/6 + 10*v**2. Let h(w) = 4*w + 4. What is u*h(f) - 3*i(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(13) + -5 + sqrt(78)\/sqrt(6) - sqrt(39)\/(sqrt(9)\/sqrt(3))) + (6*(sqrt(637) + sqrt(637)*-1) + -4)**2 + -4).\nAnswer: 6*sqrt(13) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -55.4159?\nAnswer: -55.4159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*i, 4*i = 96*u - 98*u. Is -1\/268 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 299*k*m**3 - 35*k*m**2*v + k*m*v**2 + 6*m**3*v**2 - 5*m**3*v + 186*m*v**2 wrt k?\nAnswer: 299*m**3 - 35*m**2*v + m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5647207?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -58, -239, -536, -943, -1454, -2063, -2764, -3551?\n\"Answer: f**3 - 64*f**2 + 4*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 3\/2, 2\/11, -2\/5, -0.3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/275)\/(4290\/(-14300)))\/(1\/90).\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 15.998616. Round m to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 + 67.84. Let a = o - -0.16. What is the closest to 0.1 in a, -2\/3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -502, 0, 1 in ascending order.\nAnswer: -502, 0, 1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 1) + (-137 - -131) + 1 + -34?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {y: 1, f: 1, a: 1, l: 4, j: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2867, 11615, 26195, 46601, 72827, 104867, 142715?\nAnswer: 186365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 1:23 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.921376959 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -3?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2301 = -238*l - 793 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -82, -141, -234, -367, -546?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73476?\nAnswer: 2, 3, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21e (base 16) in base 8?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381*f - 370*f - 378*f + 1865*f - 374*f - 375*f.\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23040216 to the power of 1\/2, to the nearest integer?\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 16) to base 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 32. Suppose m*w = 20*w - 15. Solve 40 = w*i + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/105*-1*10\/6.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*t**3 - 45*t**3 + 86*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**4\/12 - 152*p + 1. Let c(a) = 3. Let q(j) = -14*j - 27. Let s(x) = -18*c(x) - 2*q(x). Calculate s(z(y)).\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 18*r - 31. Give q(5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 180 - 180 - j. Let h(v) = -2*v**2 + v - v. What is h(y(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.27 (b) 102\/89 (c) -1\/5 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3820b7 (base 14) to base 6\nAnswer: 105142425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*20*(-237)\/474.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/33)\/((-2)\/2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*i - 27, 14 = 2*j + 2*i - 2. Suppose w + 2*w = j. Let f(v) = -10*v + 1 - w. Let x(t) = -t. Calculate x(f(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {y: 1, m: 1, k: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -8485 + 1803. Suppose 2*f = l + 4397. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -d - 3*d. Let k be (-10)\/(4 - (-90)\/(-21)). Let x = k - d. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22078298*v**4 + v**3 + 5*v**2 + 762064*v + 4 wrt v?\nAnswer: -529879152*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 571, 1903, -10\/3 in increasing order.\nAnswer: -10\/3, 571, 1903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8977517 is divided by 78?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -5 + (-32 - -1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.4879 rounded to 1 dp?\nAnswer: 28.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*w + 24, 8*w = -4*i + 3*w + 28. Solve 0 = -4*c + i - 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8951 is divided by 412?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 7613 = 6637. Let k = g + 25688\/9. Let h = -2\/5681 + 102268\/28405. Find the common denominator of k and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -621074 and -1.\nAnswer: 621074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -3\/4, 1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/(7\/28 - 0). Suppose 0*f - 3*f - 5 = v*l, 4*l = f + 25. Solve -4*z = z - l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/66 and 103\/6042?\nAnswer: 66462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 326882.\nAnswer: 1961292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 884720173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -6. Suppose 7*y + 2*g = 8*y - 12, 25 = 5*y - 3*g. Sort y, -5, r in ascending order.\nAnswer: -5, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*b - 0. Suppose -3*l + 5 = 2. Differentiate -g**b + 0 - g + g + l wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -806849, -806848, -806847, -806846, -806845, -806844?\n\"Answer: k - 806850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 12:30 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5.1 - -8.298\nAnswer: 13.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1793\/1211 + -9\/173. Factor -8\/7*w**3 - 2\/7*w**4 - g*w**2 + 0 - 4\/7*w.\nAnswer: -2*w*(w + 1)**2*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113675 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 8 + (2 - 3 + 2)*(-3 + 5 + 0) - 7 + 3 + 0)*(0*y - y + 2*y) to o*y + u and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 + 3933*w. Let x(z) = z. Determine x(u(l)).\nAnswer: -3*l**2 + 3933*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -245.61976 and -495.\nAnswer: -740.61976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w - 4*g = 8*w - 584 - 422, 4*w - 108 = 2*g for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -881*k + 434*k + 480*k.\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000471 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 305286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32328209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b**3 - 14*b**2 - 9*b - 20. Let k(d) = d**3 + d**2 - d + 1. Let a be 0 - 3 - 1 - -5. Let m(r) = a*w(r) + 5*k(r). What is the units digit of m(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 30\/126283?\nAnswer: 30\/126283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -686 - -345?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 15, 551, -0.2 in increasing order.\nAnswer: -0.2, 2\/15, 15, 551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/4*6\/(-9). Let r = 0 - -0.3. Let a = 0.1 - r. Sort z, -0.1, a in decreasing order.\nAnswer: z, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/5)\/h**5*(h\/(h\/h**(-2\/7)))**(-27)*((h**(2\/7)*h*h)**30)**(15\/7) assuming h is positive.\nAnswer: h**(36763\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -5659.6 to the nearest 10.\nAnswer: -5660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4 + 4. Suppose -6*g - 11 = -47. Calculate the lowest common multiple of g and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 6*v = -2*v - 76, -5*x - 10180*v = -10178*v - 38 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1455141112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -79*z**3 - 4*z**2 - 4. Let f(d) = -80*d**3 - 5*d**2 - 5. Calculate 4*f(p) - 5*u(p).\nAnswer: 75*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5515.\nAnswer: 5, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -161 + 76. Let n = -58 - z. Let k = n - 26. Solve -4*s - 4 = -3*g, -4*g + 13 = -s - k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 410612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*i*n**3 + 2*n**3 + 128*n**2 wrt i.\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 9*b. Determine o(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 349.811 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 5*l**4\/12 - 3*l**2\/2 + 8*l. Let h(c) = -22*c - 5 + 46*c + 9*c**2 - 23*c. Give 3*h(d) - 5*p(d).\nAnswer: 2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 + 1 - (-21 - -28))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2046354 (base 9) in base 5?\nAnswer: -240000132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-18) - -8)\/(-2).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 261, 648, 1341, 2442, 4053, 6276, 9213?\nAnswer: 12966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1695*h - 10*h**3 + 1695*h + 1696*h - 21*h**3 - 5086*h.\nAnswer: -31*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 43*m = -42*m + 66, -4*p - 17*p - m = -5*m - 277 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 + 9*k + 5. Let g be t(16). Let m = -471 + g. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28009 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 0.25, -3, -4, 0.02?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6134867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -237*x. Let v(q) = 957*q**2. What is j(v(o))?\nAnswer: -226809*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eejf when four letters picked without replacement from jjfee.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 2*d**2 + 1. Let y be z(1). Let j be (3\/y)\/(15\/(-6)). What is the second smallest value in 2, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a - 35*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from {t: 5, d: 7}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, e: 4}. What is prob of sequence uuuu?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 - ((18\/21)\/3 + 11982\/3780) and -34\/189?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -602, -1347, -2390, -3731, -5370, -7307?\nAnswer: -9542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111100112222021 - -11?\nAnswer: -111100112222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15036 (base 9) in base 6?\nAnswer: 115223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {e: 2, l: 3, b: 7}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113*k**3*l**3*y**3 + 17*k**3*y + 2*k**2*l**3 - 2*k**2*y**2 - k*l**2 + l**3*y**3 wrt y?\nAnswer: 678*k**3*l**3 + 6*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 10*v**2 - 3*v + 12. Let a be i(9). Let z = 15 - 13. Suppose k + z*k = a. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t - 63. Let l = t - 11. Suppose 70*z - 76*z + 102 = 0. What is the remainder when z is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -2.25036063 rounded to 1 dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1260, 1265, 1272, 1281, 1292?\n\"Answer: h**2 + 2*h + 1257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/99)\/1 + (-6)\/(-36)*-10?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j - 2. Suppose 32 - 2 = -j*v. Let w = v + 137. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 969463819.\nAnswer: 41, 3767, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12969260 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**7\/7980 - p**6\/684 - p**5\/285 + 10*p**3\/3 - 3*p + 27. Let x(v) be the third derivative of n(v). Factor x(y).\nAnswer: -2*y*(y + 1)*(y + 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/714 - 31\/84. What is the common denominator of j and -29\/104?\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -9 - 7. Calculate the greatest common divisor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1244 - 186. What are the prime factors of s\/11 + 10\/(-55)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*n - 8 = 0, 6*n - n = c + 3. Let p(i) = -2 + 2*i**2 + 6*i**2 + 2 + i**c. Let l(g) be the first derivative of g**2\/2 + 1. Determine p(l(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l - 10 = -21*l. Let v(p) = -p**2 + 7*p + 3. Let r be v(6). Suppose 6*k = l*k + r. Calculate the least common multiple of k and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 31*k + 7. What is s(-10)?\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021643 rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = p - 2, -4*d + 3*d + 8 = 4*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + (3 + 1)\/(-4). Let w be -3 + -4*6\/o. Suppose -4*s = 3*x + 2*x + 14, -3*x + 5*s = 1. Put x, w, -1, -4 in increasing order.\nAnswer: -4, x, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 148 + -134. Which is smaller: i or 18?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 15 + k**3 - 2*k + 0*k**3 to the form o*k**3 + j*k**2 + f + h*k and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 111012022 (base 3) to base 7\nAnswer: 40022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80.37 - -81. Let y = c - -30.37. Let s = y - 26. Put 2, -5, s in descending order.\nAnswer: s, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -89708, -89724, -89756, -89804, -89868?\n\"Answer: -8*p**2 + 8*p - 89708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -19. Let l = 3 + o. Let s = 0.07 + -1.07. Which is bigger: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 0 + -9 - 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -69, -21, 89, 291, 615?\n\"Answer: 5*h**3 + h**2 + 10*h - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbtybkbbbbybbyk. Give prob of picking 2 b and 1 k.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 9. Let y = 3.0335 + -0.0335. Which is the smallest value? (a) -0.6 (b) y (c) f (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 - 20*u + 53. Let s be i(3). What is the greatest common divisor of s and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**3 - 9*f**2 + 9*f**2)*(f + 2*f - f)*(-1 + 0*f - 1 - f).\nAnswer: -14*f**5 - 28*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15099?\nAnswer: 3, 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -145 - -3?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 11*m - 5 - 2*m**2 + m**2. Let o(y) = 6*y + 3. Let k(i) = -5*o(i) - 3*x(i). Factor k(w).\nAnswer: -3*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - -5. Let p(l) = 2*l**2 + 32*l + 145. What is the remainder when v is divided by p(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + z)*(2*z - 3*z + 0*z) + 3*z**2 + 2*z**2 - 3*z**2 + (z + 4*z - 3*z)*(-5 + 2*z + 5))*(77*z**3 + 338*z - 338*z).\nAnswer: 385*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = d + 2*d + 83, -4*d + 76 = 4*g. Suppose -g = -5*t, w + 9360 = t + 67100. Suppose 179744 - w = -2*f. Round f to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*m**2 + 22*m**2 + 26*m**2 in the form f*m + l + u*m**2 and give u.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 9)*(48*u - 3*u + 48*u).\nAnswer: -744*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8586 and 1521630.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**36*b*b)**(-1\/51) assuming b is positive.\nAnswer: b**(-38\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, a: 9}. What is prob of picking 1 a and 1 o?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + s**2 - s + 1. Let u(a) = 194*a**3 + 13*a**2 - 17*a + 11. Let c(d) = -2*u(d) + 22*y(d). Find the third derivative of c(f) wrt f.\nAnswer: -2196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142236926723 - 142236925905.99999447. Let a = 817 - b. What is a rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + o. Let d be k(0). Let q(w) = -w**2 + 20*w + 9. Let z be q(10). Let r = z - 105. Solve -12 = r*s - d*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -676*l**5 - 4*l**4 - 5*l**2 + 71489*l - 4.\nAnswer: -13520*l**3 - 48*l**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1036*h**3 + 163*h**2 + 133556*h.\nAnswer: 6216*h + 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-4*(39\/(-13))\/(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -9*c**3 - 2*c**2 - 11*c + 11. Let h(v) = 5*v**3 + v**2 + 6*v - 6. Let o(r) = 11*h(r) + 6*s(r). Let w be o(2). Solve w*x + 2 = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 303258*z + 11 - 303110*z + 12.\nAnswer: 148*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 168 - 4*j - 168 + j - 4*j + 2*j + (-2*j + j + 3*j)*(-3 - 3 + 5).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/70*(-5 + (-75)\/9))\/14.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6302, 5937, 5572?\nAnswer: 5207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*t + 5*f - 55, 40 = -2*t + 4*f. Let u = t + 19. Let s = 9 - u. Solve s*h = 5*h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -236*s - 243*s - 238*s + 716*s. Let a(f) = 3*f**2 + 533*f. What is a(i(v))?\nAnswer: 3*v**2 - 533*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*b)*(2009*b + 4076 - 4076).\nAnswer: 4018*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -369.2 (b) 0.1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 6\/(-14) - (-9120)\/210.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s - 3222 = -36*s. Let v = s - -1072. Let f = -0.8 + 0.4. Which is the biggest value? (a) v (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/6 (b) 237 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 82 = -4*i, 2*q = -2*q - 20. Let l(f) = f + 1. Let u be l(-1). Suppose u*x - 5*x = -25. Calculate the remainder when i is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01503 to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.44028491 to three decimal places.\nAnswer: 43.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1080 and 675?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006097514 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/(l\/l**(-2\/3)*l*l)*l)*l*l**(-1\/5))\/(l**3\/l**(-5)) assuming l is positive.\nAnswer: l**(-83\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*d + 2640 = 150*d - 200*d. Suppose 3*j + 2*o - 3*o = 18, 5*o = j - 20. Put d, -2, j in descending order.\nAnswer: j, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-8\/5)*m**(-4\/7)*(((m*m**(3\/31))\/m)\/m)**(23\/5) assuming m is positive.\nAnswer: m**(-6864\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 521 - 264. Let g = f - 46. Suppose 2*b + x = 417, b = 2*x - 5*x + g. Does 63 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 291285 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141 - 78. Suppose -o + 3*o - 2 = 0, -317 = -3*n - 5*o. Let b = n - y. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 57. Let i = k + -14. Is 12 a factor of i\/2 - 320\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/88)\/((-76)\/((-17328)\/171)).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -83 - -5?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 15) in base 3?\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -1366*k**6\/15 - 1299*k**3\/2 + 245*k + 3. What is the second derivative of z(f) wrt f?\nAnswer: -32784*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7855 to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-67)\/(-13) + (-23)\/((-299)\/(-28)) + 2. Sort -16, 1, b, -3 in decreasing order.\nAnswer: b, 1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from {c: 1, n: 1, m: 3, j: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.39 + 0.01. Let d = 64 + -129\/2. Which is the smallest value? (a) w (b) d (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/45)\/((-6)\/(-5)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -164 times 59.85\nAnswer: -9815.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1658586.1023 - 1658487. Let z = 125.10243 - f. Let g = 26 - z. Round g to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -418, -419, -420, -421, -422, -423?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 19062*k - 19030*k + 38072*k.\nAnswer: -20*k - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-216) - 2\/4 and -93\/22?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -33, -77, -139, -219, -317, -433?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4.6 times 628\nAnswer: 2888.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 2*b**2 + b - 2. Let y be c(3). Suppose -5*o = -y - 5. Let u = 4 - o. Sort u, 2, 4.\nAnswer: u, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2139 (base 10) to base 9.\nAnswer: -2836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37760100 rounded to the nearest one million?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815 is divided by 57.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 269, -5 in increasing order.\nAnswer: -15, -5, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 207 + -204. Are d and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(1 + 4\/12*3). Does 14 divide (-92)\/c*1*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.6 - 13. Sort 4, x, 7.\nAnswer: x, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 + k**4 + k**3 + 2*k - 5*k**3 + 9*k**3 - 2*k**3 as y*k**3 + q*k**2 + t + u*k + w*k**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 8233476232.553.\nAnswer: 8233476232.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 0 + 6 - l + 3*l**3 - l**2 - l**3 - l**3. Let p be q(0). What is the tens digit of (-3)\/p + (-166)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2.8 (b) -0.1 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 6.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by 2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6612874 months in millennia?\nAnswer: 0.00022177395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 6*k - 5. Let p be m(-7). Solve 2*v = -r - 6, -p*v + 0 = -4*r - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-3\/8)*(((v**(-8\/5)*v)\/v)\/v)\/v**(-3\/2) assuming v is positive.\nAnswer: v**(-11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/4 + 54805*f\/4 = 0. What is f?\nAnswer: -54805, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 8*s**2 + s - 9. Let n be j(8). Suppose -4*d - 26 = -d - 4*r, 4*d + 4*r = 12. Is n != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -730159*v**5 - 1055255*v wrt v?\nAnswer: -14603180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + s**2 + 1. Let b(m) = 2*m**2 + 3 + 0*m**2 + 0*m - 6*m**3 + m**2 - 2*m. Let k(h) = -b(h) + 3*c(h). What is the second derivative of k(d) wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f5 (base 16) in base 2?\nAnswer: 11110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -22 + (-7 - -28) + -7 - 53\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*q**3 + 33*q**3 - 51*q**3)*(3*q - 3*q - q)*(-5 + 0 + 4).\nAnswer: -63*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 54. Let w(u) = -2*u + 81. Let a(x) = 3*d(x) - 2*w(x). Let s(f) = -6*f - 34*f - 64*f. Determine s(a(k)).\nAnswer: 208*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + p + 3003 = 0, -11*p = -4*o + 9*o - 15015. Calculate the remainder when o is divided by 177.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31035 + 47997. Is 257 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/(b*b**(-2\/9)))**(1\/10) assuming b is positive.\nAnswer: b**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + w**2 + w - 2. Let y = 1941 + -1943. Calculate d(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 w, 1 f, and 1 t when four letters picked without replacement from {w: 2, f: 1, l: 4, j: 6, x: 3, t: 2}.\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7599*f + 1. Let i(g) = -2*g**2. What is i(q(o))?\nAnswer: -115489602*o**2 + 30396*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b - 100. Let a(t) = -t**3 - 30*t**2 - 32*t - 98. Let d be a(-29). Let k(s) = -s**2 - 21*s - 89. Let m be k(d). Which is bigger: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101011010 + 100111000001000?\nAnswer: 11111010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 21 + 84. Suppose -27 = 5*z + 43. Let f = b + z. Solve d - f = 4*v, d - 3*v = -d - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 take away 676.1?\nAnswer: -634.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -18. Let w(g) = 7*g**2 - 2*g - 2. What is the least common multiple of w(2) and r?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/18 + -4 + 5.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040 is divided by 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 79133440 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8621515939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/3 (b) -6\/7 (c) -9311 (d) 0.3 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 470291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 13*w = -13*w + 112 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/20 + (-3)\/12 + 4. Solve 11 = -5*c - w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) -380\/3 (c) -2 (d) -130\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 735, 739, 745, 753, 763?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -0.5, 8, 0.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o\/o**(-3)))*o*o*o\/o**(-1\/5))\/(o**(1\/9)*o*(o*o*o**6)\/o*o))**(-15) assuming o is positive.\nAnswer: o**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -0.0555177894369\nAnswer: 1.0555177894369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 2*g - 4. Let c(j) = -2*j**2 + 4*j - 8. Calculate -6*c(n) + 11*x(n).\nAnswer: n**2 - 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*c**2*k - 179*c**2 - 7*c*k wrt k?\nAnswer: 15*c**2 - 7*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 + 99*g - 1161. Determine l(13).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -79. What are the prime factors of 249 - (1 + a)*6\/(-6)?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/5 + 11*y**3\/5 + 18*y**2\/5.\nAnswer: y**2*(y + 2)*(y + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 32, 84, 126, 134, 84, -48, -286?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2253 is divided by 57.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235339?\nAnswer: 7, 17, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 12*g**3 + 40*g**2 - 306*g + 48. List the prime factors of k(13).\nAnswer: 2, 11, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -461 = -n - 5*j, -4*j = -17*n + 12*n + 2276. What is the highest common divisor of n and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 25*n**2 + 29*n + 26. Let d(i) = i**2 - 26*i + 73. Let h be d(5). Let m be y(h). What is m rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s + 169. Is q(0) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w + 4. Suppose 0*q + 4 = 2*q + w*u, -q + 5*u + 37 = 0. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -33842?\nAnswer: -33844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 5:02 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 6*r**2 - r - 3. Let y be x(-6). Suppose -8*i + 3*i = 5*s - 330, 2*s + y*i - 129 = 0. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6088 + -1594. What are the prime factors of n?\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 75*a**4\/4 + 145*a**3 + 156*a**2 + 60*a - 8. Factor q(r).\nAnswer: 3*(r + 5)*(5*r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2322 + -2318. Solve -f*h - 8 = -2*z, -4*z + 15*h - 14 = 13*h for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.264 - 7. Let s = i - -0.164. Let d = s - -12.1059. Round d to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j + 39*j - 15*j - 15*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 380 and 1180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**4\/12 + 17*v**3\/6 - v**2 - 169*v. What is l(-17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = -5*p. Let u be 0*(2 + -3 + p). Which is smaller: -2\/25 or u?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = k - 3*z, 3*z + 522 = -k + 4*k. Suppose -51*h = -35*h - k. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6*g + 19. What is f(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**3 - 307184*j**2 + 921500*j + 1228688 = 0. Calculate j.\nAnswer: -1, 4, 76793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22698, 42799, 62900, 83001?\nAnswer: 103102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/((-2)\/916). Let s = 469\/2 - m. Let f = s - 127\/22. Put -3\/2, f, -3 in increasing order.\nAnswer: -3, -3\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1683329283 to the nearest integer?\nAnswer: 41028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3223 and 1465.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 2:53 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17d2 (base 14) in base 5?\nAnswer: 114200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2015608 or 2015552?\nAnswer: 2015552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufuufuuf. Give prob of sequence uf.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-2 - 0 - -2) - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -54 + 307?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Solve 2*m - 6*m**4 + 4*m**4 - 3*m**3 - m**4 + 3*m**j - 3*m**5 - 4*m**4 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixiixxi. Give prob of sequence iiii.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 17. Let i = 28 - 31. Which is the second smallest value? (a) g (b) 2 (c) 4 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/38075 + -2094182\/2170275. Calculate the common denominator of x and 43\/135.\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416575231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 170\/3 + 5 + (-34)\/6. What is the second derivative of -u + 12*w + 56 + 11*w**2 wrt w?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8507, -30754, -67833, -119744, -186487, -268062, -364469?\n\"Answer: -7416*f**2 + f - 1092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 223691 and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37\/10 - -21\/5. Let o = -25331 - -379963\/15. Which is the third biggest value? (a) o (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c = 774. Let h be ((-2)\/2)\/((-7)\/77) - -32. Calculate the greatest common factor of c and h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27.28 * 0.04081.\nAnswer: -1.1132968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128\/43 - 3. Let r be 40\/260*2\/((-344)\/318). Let x = f + r. What is the smallest value in x, 0, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -87, -352, -867, -1716?\nAnswer: -2983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 12. Let i = 13 + y. Suppose -4*f + j = 4*j - 10, -f - 2*j + i = 0. Which is greater: f or -1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -414 by 476.\nAnswer: -207\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 373, 364, 285, 100, -227?\n\"Answer: -6*r**3 + r**2 + 30*r + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 1. Let z(l) = 3*l**2 + 2*l + 3821 - 3821 - 5*l**2. Determine a(z(f)).\nAnswer: 8*f**4 - 16*f**3 + 8*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -16 - 9 + d + 23 - 5. Give w(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 3, m: 1, y: 1, a: 1}. What is prob of sequence cm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**3 + 7. Let p(b) = -b**3. Let g = -1167 - -1172. Calculate g*p(t) + q(t).\nAnswer: -t**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-9) - 15147\/(-81) - (-2)\/6. Calculate the greatest common factor of k and 612.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -106865152 (b) 2\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 15700906163912*o**2 - 28018660*o + 25\/2 = 0.\nAnswer: 5\/5603732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07294029142 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*a + 249 = -2*a + 2*a. Solve 3*o - 3 = 2*s, a*s + 7*o - 6*o - 1 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**2. Let a(u) = -3*u + 109*u**2 - 72*u**2 + 3*u. Calculate h(a(q)).\nAnswer: -5476*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*a - 4*a - 10*a - 17*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 45 = 3*t, 2*s = -4*t + 18 + 26. Suppose 2*g = -g + s. List the prime factors of (g - (-2 + 1)) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 18*t + 24. Let s be l(-17). Calculate the greatest common divisor of s and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 + 6*j**2 + 4*j + 26. Let x be u(-4). Let i(n) = n**3 + 21*n**2 - 48*n - 63. What are the prime factors of i(x)?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 4*h - 4*h + (3 - 9 - 4)*(5*h + h - 4*h + (1 - 3 + 3)*(6*h - 4*h + 0*h)).\nAnswer: -47*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 12:53 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 22, -2, -0.1, -6, 0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 588632263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -73, -104, -135?\n\"Answer: -31*n - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 5\/4, -4\/89, 1\/7, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*a**4 - 194*a**3 - 188*a**3 + 709*a**2 + 22*a**4 + 383*a**3 wrt a.\nAnswer: 1032*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-14 + -23 - -64)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6749429s in microseconds?\nAnswer: 674942.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2. Let c(a) be the first derivative of 0*a - 3\/2*a**2 - 3. Determine c(u(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 2)*(-7*k**3 - 2 + 2) - 2*k**3 + 4*k**3 - 5*k**3 to v*k**2 + m*k + w + j*k**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 7*i**3\/3 - i**2 - i. Let a(l) = -5*l + 1. Let k(h) = -8*a(h) - 3*n(h). Let f = 8 + -10. Give k(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.04 (b) 94\/7 (c) 0.3 (d) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxyxxzxmmezm. Give prob of sequence yx.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*o - 15*o - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113151256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28384)\/10 - 9\/(-6). Suppose 2*j - 2*c = 3*c + 5632, 0 = -5*j + 5*c + 14110. Let d = j + o. Calculate the common denominator of -53\/9 and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**5*x - 74*d**4*x*z + 2*d**3*x - 2*d**2 + 509*d*x*z - x*z wrt d?\nAnswer: -60*d**2*x - 1776*d*x*z + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*k = 41660 + 26134, 135560 = 8*c + 4*k. What is the thousands digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -50\/3*p**3 + 0 - 73*p**2 - 1\/12*p**5 + 5\/2*p**4 + 0*p. Suppose n(t) = 0. What is t?\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104b (base 14) to base 3\nAnswer: -10212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 5:07 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2 + 6*c**3 - 8*c**3 + 3*c + 1 + c**3. What is d(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + 0 + 0 + 15\/(-3). Suppose -z - 9 = 3*x + 5*l, 5*x - l - 25 = 0. Solve -2*p = x*d + 18, -2*d - 2*p = -7*d - 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1903 = -47*j + 48*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15412.44 to the nearest one hundred.\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4840.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (148*z + 5*z**2 - 148*z - 3)*(4*z + z + 5*z)*(-1 - z + 1).\nAnswer: -50*z**4 + 30*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 8:47 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54451*o**3*p**3 + 7*o*p**3 - o*p - 4045141*p**3 + 16*p**2 wrt o?\nAnswer: -163353*o**2*p**3 + 7*p**3 - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 17808453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 2*k**2 + k - 1. Let s be f(1). Let w = s - -4. Which is the smallest value? (a) w (b) -3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 806 and 2110511?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 10. Let p be (7\/(-14))\/(g\/2). Calculate the remainder when -2*p\/(-2)*-18 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566183759 to the power of 1\/2, to the nearest integer?\nAnswer: 23795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11634 - -3?\nAnswer: 11637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, x: 1, w: 4, k: 2}. Give prob of sequence ww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 801612437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7*x**2. What is a(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*x**2 - 73*x**2 + 33*x**2 - 33*x**2 + 35*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/22)\/((-171)\/76)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.099? (a) 128 (b) -0.04 (c) 2\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253315, -253316, -253317, -253318, -253319?\nAnswer: -253320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, x: 6}. Give prob of picking 3 v.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 (base 6) in base 10?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*j + 8556 = 5*j + 6996 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z = -5*z + 165. Let a(y) = 1 - 2*y + 0*y - 3*y. What is the units digit of a(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1755 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/988686 + 17796355\/6920802. Determine y so that -274\/21*y**3 - 300\/7*y + 410\/7*y**2 - 2\/21*y**5 - b*y**4 + 0 = 0.\nAnswer: -15, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625314 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-10))\/(630\/75 - 12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + sqrt(1100) + -3 - (1*(-1*sqrt(1100))**2 + sqrt(1100) + sqrt(1100) + 1))*3.\nAnswer: -3306 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 bigger than 167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.41 + -0.09. Let d = -3209 + 3206. Sort d, 0.3, v, 3 in decreasing order.\nAnswer: 3, 0.3, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(6\/11)*d**4*(d\/(d*d*(d\/(d\/d**18*d))\/d))\/(d*(d*d*d*(d*(d*d\/(d**12*d*d*d)*d)\/d)\/d*d*d)\/d))**5 assuming d is positive.\nAnswer: d**(-245\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84408 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 10:43 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 3:09 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39459 divided by -38.\nAnswer: 39459\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2018, 8080, 18182, 32324, 50506, 72728?\n\"Answer: 2020*t**2 + 2*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2*15\/(-2))\/1. Let s = d + 11. Suppose 0*u + u = 5*q + 39, 4*u = 5*q + 81. Calculate the remainder when s is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3426, -1\/4, 1, -0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 3)*(d + 0*d - 2*d) + 4 - 4 - 8*d to the form w*d + j and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 19. Let g be i(15). Solve 0 = -d - 5*z + 4, g*d - z - 2*z = -7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2. Let h be 72 + (1 - (k - -2)). Let v = 362 + -344. Calculate the greatest common divisor of h and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2707*o - 13435. Let j be t(5). Solve -5*u + 101*y + 26 = j*y, -11 = -2*u + y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 27*f**2 - 39*f + 295. What is g(-25)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 638014841*t**4 - 14*t - 10746131.\nAnswer: 7656178092*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -4)\/(1\/1). Suppose -4*t + 18 + 54 = x. Suppose 2*n - 4*n = -t. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + (sqrt(2057)*1*1 - (sqrt(2057) + 1)*-5) + 5 + (sqrt(2057) - (2 + sqrt(2057) + -2)))**2.\nAnswer: 1452*sqrt(17) + 74173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 10*w**5 - 142466*w**4 + 5203512*w**3 - 37671800*w**2 - 186430400*w - 68208000 = 0.\nAnswer: -3, -2\/5, 20, 14210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 126*j + 2539. What is k(-19)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -2. Let h be -3 - (-6)\/(3\/i). Let j = -3.47 + 0.47. What is the nearest to h in 2, 2\/3, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 5. Calculate the remainder when (-246)\/(-15) + (-1056)\/(-60) + -18 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 4. Let x be y(3). Let f be (4 - x)*20\/12. What is the greatest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 + 440*n**3 - 425*n**2 - 870*n.\nAnswer: -5*n*(n - 87)*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -32.2361518 times 3\nAnswer: -96.7084554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 50399974 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/12*1287\/312?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**5\/60 + 17*p**2. Let m be (2\/(-3))\/((-2)\/75). Let q(z) = -5*z - m*z**2 + 5*z + 15*z**2. Calculate h(q(j)).\nAnswer: 100*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 126 + 54. What is the remainder when 5\/5*(-1 + 23) is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 140, 3, -14 in increasing order.\nAnswer: -14, 0, 3, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 + 255. Let d = g - 146.99914. What is d rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 3, 11, 19, 27, 35?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2102 - -1?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 0 - 3\/8*c**5 - 15\/8*c**4 - 15\/4*c + 39\/8*c**2 + 9\/8*c**3 = 0.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10527820*x**2 - 552*x + 21374.\nAnswer: 21055640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.63 - 1.7. Let v = 0.13 - i. Which is the third biggest value? (a) v (b) -1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:56 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 532*a**2 + 7656*a**2 + 4503*a**2.\nAnswer: 12691*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 + 12*n + 5. Let u(z) = 11*z**2 - 35*z - 16. Let h(d) = -8*k(d) - 3*u(d). Let l be h(9). Solve 3*t - l = j, 3*j - 12 = -2*t - t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. What is the smallest common multiple of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24666.\nAnswer: 2, 3, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**3 - 2*l**3 + 0*l**3 + (-2 + 3*l - 4*l - l)*(-6*l**2 + l**2 + 3*l**2).\nAnswer: 7*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 25, -7*r = 2*v - 2*r - 47. Determine s so that 9*s**4 - 11*s**2 + 7*s**2 + 6*s**2 - v*s**3 = 0.\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 259*y + 1645. Let z be q(-135). Is z at least as big as 3131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3325 = -2*h + 11221. Round h to the nearest 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -121 - -110. Let d be (y\/2)\/(12\/(-312)). Calculate the greatest common factor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 6:10 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61254029 to the nearest integer?\nAnswer: 7826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1166, -3089, -6464, -12017, -20474, -32561, -49004?\nAnswer: -70529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:46 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*i + 259*i - 77*i - 68*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8889994 to the nearest integer?\nAnswer: 2982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 201759*z**6 - 3*z**2 + 8357*z - 3 wrt z.\nAnswer: 24211080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*u + 63*u + 12 = 0. Suppose l = 4*d - 0*d + 157, -u*d = 6. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19212\/935 - -1156\/55. Factor -d*n - 12\/17*n**4 - 24\/17*n**2 - 26\/17*n**3 + 0 - 2\/17*n**5.\nAnswer: -2*n*(n + 1)**2*(n + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1816, 5554, 15630, 35212, 67468, 115566, 182674?\nAnswer: 271960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 100745, 3 in increasing order.\nAnswer: 3, 13, 100745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9424*x - 25187*x + 195798 = -137943 - 76097 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (944\/1593)\/(490\/(-1323))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869384182.\nAnswer: 2, 17, 251, 101873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*f - 18548 = -26848 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*a + 24 = 0. Suppose 8 = -a*k + 2*k. Let w be 0*2\/(-4) - 1. Sort k, w, 3 in ascending order.\nAnswer: k, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5696 = 12*b + 656. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1331036 + 1?\nAnswer: -1331035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**3 + 165495*x**2 + 1986480*x + 5959980 = 0. Calculate x.\nAnswer: -6, 33111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*i**2 + 148*i**2 - 54*i**2 - 57*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3669 - -5680. Let c = 4002 - r. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p + 2*p + 3*p + 4 + 2*p. Let y be k(0). Let h be 9\/3 - (0 + -1). Solve 5*o + y*b - 3 = h*o, 5*o - 5*b = -10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 28. What is the highest common factor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6773 - -6935. Solve -6 = -d*v + 160*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 86\/18 - 18\/(-81). What is the highest common factor of 20 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**32*i*i**(1\/2))**42)**(-24\/5) assuming i is positive.\nAnswer: i**(-33768\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*n = 25, -5 = -12*n + 17*n. Let f = c - -4. Put 1, 2, f, -1 in decreasing order.\nAnswer: 2, 1, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 31662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -26. Calculate the common denominator of (-205)\/(-154) + (-4)\/d and 126\/480 - (-2)\/(-10).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2 - 2*v**5 - 3 - v**5 + 3*v**5 - 3*v**5 + (-v + v - 2*v)*(5*v**4 + v**4 - 2*v**4 + (-v + 1 - 1)*(5*v**3 - 4*v**3 + 5*v**3)).\nAnswer: v**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(68)*-2 - ((sqrt(68) - sqrt(68)*-3)*1 - sqrt(68)))\/((-1*sqrt(216))\/((sqrt(6) - 5*(sqrt(24) + sqrt(6))) + sqrt(6))).\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.17169 and 0.1.\nAnswer: -3.07169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125*c**3 + 109*c**3 - 85*c**3)*(0*c + c - 4*c)*((-1 + 0 + 2)*(-2 - 1 + 5) + 1 + 0 - 2 + (-5 - 1 + 3)*(3 - 3 + 2)).\nAnswer: -1515*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11172*g**2*l**2 + 4*g**2 - 2274*l**2 wrt g?\nAnswer: -22344*g*l**2 + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116507593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127120 divided by -2270.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205538, 822170, 1849888, 3288692?\nAnswer: 5138582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1022 = 8*t + 6*t. Calculate the remainder when t is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a centimeter in millimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6540 divided by -83228.\nAnswer: -1635\/20807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152197 is divided by 53.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**5\/40 - y**4\/12 + y**3\/2 - y**2. Let w(h) be the first derivative of o(h). What is the tens digit of w(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -944.5 + 944. Let c = 0.1 + 0.1. What is the third biggest value in -2\/9, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 8. Let o = n + 5. Suppose -o*c - 60 = -5*c. Calculate the remainder when 38 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/9 of a day in minutes?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 - 9*r**4 - 10*r**4 + 2*r**3 - 3*r**4 - 2*r**3 + (-4*r + 2*r**3 + 4*r)*(3*r + r - 5*r) to the form q*r**2 + a*r**3 + h*r**4 + m*r + u and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*j - 16*j - 21813. List the prime factors of j.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1349703176 to the nearest integer?\nAnswer: 36738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c + -6dcb69?\nAnswer: -6dcb97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 15 = 0, -3*i + 47 = 3*r - 7. Let k = 23 - r. Let t(f) = -7*f + 2. Determine t(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 4*l - 3. Let y be d(-4). Suppose -b + y = 3*p, -2*b = -7*b + 3*p + 11. Suppose -b = -4*h + 8. Is h bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -251c - 4?\nAnswer: -2520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(396)*-4 + sqrt(396))\/((sqrt(63)*1)\/sqrt(7)))\/((-1*sqrt(40)*-1)\/(sqrt(100)\/(sqrt(40)\/sqrt(4)))).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -236443*x**5 + 1655099*x**4 - 4019517*x**3 + 4019497*x**2 - 1418624*x - 12 = 0. Calculate x.\nAnswer: -2\/236443, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*q - 41, 4*q - q + 5 = 5*w. Suppose 0 = -4*d - 0 + w. Suppose 5*c = 11 - d. Solve 0 = -2*n - 3*v + c*v - 4, n + 2*v = -8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**2. Let n(f) = -2*f**2 + 3. Let j(p) = -3*p**2 + 4. Let m(t) = 3*j(t) - 4*n(t). Calculate m(b(x)).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1125320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62\/145 - -4\/145. Put 2\/5, u, 2\/9, 4 in descending order.\nAnswer: 4, 2\/5, 2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25333879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 284 + -276. Solve -t + 5*h + 6 = -18, 3*t = -h - b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 250 (base 14) to base 4\nAnswer: 13032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275, -221, -131, -5, 157, 355, 589?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 5*r = 10, 6 = 2*m - 12*r + 16*r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -3. Let b be i - (2 + 0 - 7). Solve 2*x + 0*x - 7 = z, -b*x + 2*z = -11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3*g + 43, f = -4*f - 4*g + 53. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 12:28 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1250743 + 141?\nAnswer: -1250602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/2)\/(((83585\/3066)\/(-229))\/((-68)\/(-14)))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 5*d**2 - 2*d + 6. Let a be l(4). Suppose -m - m + 8 = -r, r + a = 4*m. Let h(t) = 2*t**2 + 2*t - 2. Give h(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**5\/4 + f**4\/2 + 3*f. What is the third derivative of j(o) wrt o?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4913703 or 0.1?\nAnswer: 4913703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 6)*(2 - 7 + 2)*(24*b - 11*b + 7*b)*(2*b**2 + 3*b**3 - 2*b**2) in the form a + c*b + s*b**2 + m*b**4 + f*b**3 and give m.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 10?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 154459999 a multiple of 444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 11*g - 6. Let b be r(10). What is the units digit of (b\/10)\/((-3)\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -74977, -1, 5 in decreasing order.\nAnswer: 5, 1, -1, -74977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-1\/12))**(-46)\/(w**(-2\/5))**(-16\/5) assuming w is positive.\nAnswer: w**(-14567\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -857 by 1.\nAnswer: -857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*m + 7 + 4 - 8*m as r*m + i and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**4\/6 + 34*g**3\/9 + 37*g**2\/3 + 38*g\/3 - 166. Determine k so that w(k) = 0.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by -2.\nAnswer: 67\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -26. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70824.151 to the nearest ten.\nAnswer: 70820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 23) + 17 + -15.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/5 + 82*h\/5 = 0 for h.\nAnswer: 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.02597812 rounded to 4 decimal places?\nAnswer: 1.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -13. Let i be (-82)\/26 - 6\/(-2). Let l = 66 + -196\/3. Which is the nearest to l? (a) i (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1948078 * -5.\nAnswer: -9740390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -178658*-0.398\nAnswer: 71105.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) 4 (c) -10.98 (d) -1\/3 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0217 rounded to four dps?\nAnswer: -0.0217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2395 + -2351. Let b be (6\/8)\/((-1)\/(-336)). Suppose 0 = i + 2*p + d - b, -2*p - 8 = 0. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 28 = -24. Let i be 2*(-8)\/(-8 - v). Solve 3*a - 2*n = -i, -a - 5*n - 16 = -2*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 greater than or equal to 284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 + 2*m**2 - 2*m**2 + (4 + 0 - 3)*(641*m - 641*m - 6*m**3) as l*m + w + y*m**3 + b*m**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.8398854 to the nearest integer.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109176 - 59267. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3983 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -339 - -338. What is the closest to m in 0.1, 4, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*m - 309, u + 5*m = -29 - 44. Does 6 divide -1608*4\/u - (-8)\/(-84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115413 + -452?\nAnswer: 114521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 172121070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/70902000 and -97\/779922.\nAnswer: 779922000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 3*w + 12. Does 20 divide s(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8646 and 42.\nAnswer: 60522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**4 + 20 + 13 - 31 - m**3 - m**4 in the form p + r*m + n*m**4 + l*m**3 + c*m**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**2 + 56 - 48 + v - 26 to the form o + z*v + m*v**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 748 and 157707.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*z = 12577 - 652 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 5:02 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*172\/(-10)*74\/6660*75?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1346 - -1375. Suppose 9*q + o = 65. Factor -1\/5*f**q + 0 + 1\/5*f**3 + 2\/5*f**2 + 0*f.\nAnswer: -f**2*(f - 2)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.08111 + 1138.64589. Let k = b - 1156.727012. Let q = k - 4. Round q to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -894*h - 11 = 3*z - 893*h, 0 = -4*z + 4*h - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2121945 divided by 424389\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4842*s + 502*s + 4*s**3 - 718*s**4 - 147*s - 2*s**5 - 3*s**3 wrt s?\nAnswer: -40*s**3 - 8616*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 - 2 - 5*b**4 - 1 - 6*b**3 - 6*b + 10*b + 1 - 2*b**2 to y*b**4 + a*b**3 + h*b + g + p*b**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.6 - 5. What is the second biggest value in q, 2\/5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 763.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 807.9508 weeks in seconds?\nAnswer: 488648643.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.7, 0.945, -2\/921?\nAnswer: 0.945","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42234.\nAnswer: 2, 3, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**2 + r - 1. Let t be a(-2). Let f = t - 18. What is the remainder when 19 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(132)*-3)\/sqrt(12) + 2)*-2.\nAnswer: -30*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -6034.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 70569 divided by 5721\nAnswer: 23523\/1907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*r + 102*r + 313*r + 248*r + 0*r to the form q*r + b and give q.\nAnswer: 707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -21475 (b) 3\/38 (c) -31 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 232745763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1703, 1755, 1839, 1955?\n\"Answer: 16*n**2 + 4*n + 1683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9046, -18090, -27142, -36202?\n\"Answer: -4*l**2 - 9032*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -14. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2. Let h(w) = 1 + 403*w**2 - 398*w**2 - 1. Give -2*h(j) - 6*k(j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 11*q**2 + 43*q - 473. Let l be f(11). Which is the smallest value? (a) -11 (b) l (c) -4 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*(a*a**(-3)*a)\/a*a)*a**(-5\/3)\/a*a**0\/a**(4\/9))\/((a*a\/a**(-1\/2))**(-11\/6))**27 assuming a is positive.\nAnswer: a**(4379\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*y**3 - 29*y**3 - 4 - 178*y + 200*y - 35*y**3 as q + p*y**2 + l*y**3 + w*y and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 13. Suppose v*p - 25 = -0*p. Suppose -l - 3 = -8. Solve -1 + p = 2*b - 4*y, -l*b + 3 = -3*y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttt. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -8*a + 1. Suppose 0*x = 5*x - 30. Let t be 2\/3 - 8\/3. Let u be (t - 1)*2\/x. What is f(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 161, 155, 151, 149, 149?\n\"Answer: y**2 - 9*y + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ioncioi. Give prob of sequence ioco.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 1016 = 14*g. Suppose 6*n = 7*n - g. What is the third derivative of -26*l**6 + l**2 - 127 + n wrt l?\nAnswer: -3120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12467639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) 3\/4 (c) 8\/9 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-15) + 1)*(-1 + 7). Solve w*i - 2*c = 4, -4*i - i - 5*c = 30 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -3*u**8\/560 + u**4\/8 - 2*u**3\/3 + u**2. Let v(d) be the first derivative of t(d). Find the first derivative of v(c) wrt c.\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - x**2 - x + 1. Let q(m) = 8*m**3 + 3*m**2 + 3*m - 1. Let v be ((-10)\/(13 - -47))\/((-1)\/6). What is v*q(j) + 3*d(j)?\nAnswer: 5*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19749 + 45442. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + k**2 - k + 1. Let z(u) = -8*u**3 + 10*u**2 - 9*u + 2. Let w(s) = 5*g(s) - z(s). Let t = 10 + -6. Is w(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**2 + 1. Let b be -3*6\/(-27)*-3. Calculate u(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-1))\/2 - (8 - 8). Suppose 3*j - 4*i + 12 = z, -3 = 4*j - 4*i + 9. Does 26 divide (-14)\/35 - (j + 1044\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -16*m**3 + 11112*m**2 - 5562*m + 6937. Give n(694).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + n - 2. Let u(q) = -22*q**3 - 5*q**2 - 5*q + 17. Let l(f) = u(f) + 5*v(f). Find the first derivative of l(t) wrt t.\nAnswer: -66*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20300, 20339, 20378, 20417, 20456, 20495?\nAnswer: 20534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3219824288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 + (-26)\/20. What is the second biggest value in 10, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6466440 by 1293288.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, c: 3, r: 6, p: 3, m: 1, f: 2}. What is prob of picking 1 r and 1 m?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95117382?\nAnswer: 2, 3, 19, 92707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/5 - 7\/((-21)\/30). Suppose -j = -5*l + 6. What is the lowest common multiple of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -384589, -769165, -1153741?\nAnswer: -1538317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 - 8*i + 6. Let z be c(-4). Let s be (-33)\/z*-4 + (-6)\/(-2). Calculate the greatest common divisor of s and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*d + 2*f, 29 = -d - 1736*f + 1731*f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 55783 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -9*c**3 - 4*c**2 + 5*c - 14. Let o(g) = -14*g**3 - 6*g**2 + 8*g - 21. What is 5*o(r) - 8*v(r)?\nAnswer: 2*r**3 + 2*r**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 45 + 45)*(-50*u - 55*u + 24*u) - u**2 + 0*u**2 + 5*u**2.\nAnswer: -158*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpbhzib. Give prob of picking 1 h and 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66603738*k**3 - 3 + 0 - 66603740*k**3 + 3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - 2 - (-1 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/11, 47\/17, -2\/3, -1\/7991?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*-45.\nAnswer: 3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 546109.34 rounded to the nearest one thousand?\nAnswer: 546000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-6)\/(-29)*(-19865)\/(-2740))\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56259 (base 10) in base 9?\nAnswer: -85150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-10))\/((-6)\/(-20)). Suppose 0 = -b*s + 12 - 0. What is the greatest common factor of s and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259412004.\nAnswer: 2, 3, 431, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) -1\/5 (b) 469 (c) -1\/3 (d) -2\/9 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(-2\/49)\/(m**(-2\/11)*m\/m**1*m))**33 assuming m is positive.\nAnswer: m**(-1257\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1335 + -1339. Let m(u) = -u**2 - 13. What is m(l)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5160\/(-1935)*294\/16.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2886833078 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-5) + 494216\/(-20). Let s = x - -3805471\/154. Let n = s - 3\/22. What is the second smallest value in n, -2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 48.52. Let n = 0.18 - a. Let v = 3.7 + -7.7. What is the third smallest value in n, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186343a (base 12) to base 13\nAnswer: 109a617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - -c?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(126)\/(-1*sqrt(6)))\/((sqrt(147) - (sqrt(147)*1 + sqrt(147))) + sqrt(147) + 1*sqrt(3)*-1).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -67*u**3\/3 - u**2 + 1334*u + 983. Differentiate y(j) wrt j.\nAnswer: -134*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10262 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0 = -14. Solve 5*c - 15 = v, 0 = -2*c + 4*v - v - u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from vxmmnov?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2 - 4*a - 3. Let n be d(-2). Suppose -y + 28 = 8*i - 4*i, 0 = 4*i - 20. Let g = n - y. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(-4*(-1*sqrt(55) + sqrt(55)) + sqrt(55) + -2*sqrt(7920) + sqrt(7920))\/(sqrt(275)*-1 - 2*sqrt(99)).\nAnswer: -5 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9611.712 decades?\nAnswer: 1153405.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 18. Let d = 360 + -355. Sort -6, d, y in ascending order.\nAnswer: -6, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -2\/11 (c) 5\/4 (d) 164\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 1 - 1)*(6 - 5 + 5)*(-x + 2*x + x) - 12*x**2 - 11*x**2 + x**2 + (4*x + 4*x - 6*x)*(-3 + x + 3).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + -0.5. Let n = -0.31 - -0.11. Let g = n + -3.8. Which is the third biggest value? (a) l (b) -0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 17859960*f - 71439920.\nAnswer: 5*(f - 3571996)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1121384 divided by 88\nAnswer: 12743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07879 - -0.11879. Which is the third biggest value? (a) v (b) 1 (c) -5 (d) 0 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 63*h - 34. What is the remainder when z(12) is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = x + 112. Suppose 16 = -2*b - 4*w, w + 2 = -3*b - 2. Let n be b + (4 - (1 - 1)). Solve -n*c = x + 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8658601 - -2254601. What is t rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u - 50 = 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 188 + 4269*t - 380 + 2080*t + 192 in the form j*t + z and give j.\nAnswer: 6349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 x when four letters picked without replacement from qeqlxhqllhxlxqqql?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*v + 42. Let n(l) = -l + 1. Let h(f) = -6*f + 7. What is v*h(r) - 4*n(r)?\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 4. Let j be 8\/2*(-5)\/(-4). Suppose 2*c = -j*h + 5, h + 0*c + 17 = -4*c. Put -1, k, h in decreasing order.\nAnswer: h, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-44))\/(72\/96).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -150 + 12\/2 + (4 - 5). Let a = -136 - k. Solve 0 = -3*x - a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 - 24 - 3*h + h**2 + 72)*(0*h - 3*h + 4*h).\nAnswer: h**3 - 3*h**2 + 14*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**4\/6 - 12*z**3 + 299*z**2 - 8464*z\/3 + 1606. Suppose u(v) = 0. Calculate v.\nAnswer: 8, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j + 4*j - j)*(3*j + 12*j - j)*(3 - 3 + 3) to n*j**2 + s + g*j and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 622.1 + -622. What is the nearest to -4 in -49, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -a - 21, 6*x - 12 = -5*a - 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.576016 centuries in millennia?\nAnswer: 0.1576016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1\/504, 4, -874, -19?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5132*x**3 - x**2 - 6917*x wrt x.\nAnswer: 30792*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13544227 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 741.9081?\nAnswer: 741.5081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*z + 8, 13 + 4 = -5*m - z. Let a(x) = 4*x**2 - x. Let k be a(1). Suppose o - t + 3 = 0, k = -o + 2*t - 3. Sort 3, m, o.\nAnswer: m, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1229, -1232, -1235, -1238?\n\"Answer: -3*g - 1226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 s when three letters picked without replacement from {z: 1, h: 1, y: 4, k: 4, s: 4, u: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**2 - 1152*b - 2288 = 0.\nAnswer: -286, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 972500 rounded to the nearest 10000?\nAnswer: 970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 2:01 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/12 - (2 + 0)\/(-8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/4)*y)\/(y*y\/(y\/(y\/y**(12\/5))*y)))\/(y**2\/y)**(-8\/5) assuming y is positive.\nAnswer: y**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -48 - 605284\/3*l**2 - 6224*l = 0.\nAnswer: -6\/389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 94\/27*k**3 - 1 + 2209\/9*k**2 + 1\/54*k**4 - 83*k. Factor u(t).\nAnswer: 2*(t + 47)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 149\/4. Let t be (-20)\/6*(-12)\/5. Let b be 5\/(-50)*10\/t. What is the second smallest value in h, 4, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -894, -894, -892, -888?\nAnswer: -882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 7:30 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 n when four letters picked without replacement from nnppbpnnbpnnnnpnpn.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*2185.\nAnswer: -10925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36300 + 108932\/3. Solve -20*f**3 + a*f**2 + 20*f - 16\/3 - 16\/3*f**4 = 0 for f.\nAnswer: -4, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 7:32 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*v**2 + 17*v**2 + 91*v**2 + 0*v**3 + 0*v**3 + 16*v**2 + 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*q - 710 = -77 + 165 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*3 - (-1)\/1. Let s(m) = 13*m**2 - 7*m. Let i(q) = -7*q**2 + 4*q. Let g(y) = a*s(y) + 7*i(y). Let z(r) = -4*r + 5*r + r. Calculate g(z(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 - 340*n**3 + 9744*n**2 - 97216*n + 87808.\nAnswer: 4*(n - 28)**3*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 15 = -3*k + 6, k - 3*h - 13 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*a - 28, 0 = 2*g + 5*a + 5 + 14. Suppose k - g*k = 2*k. Solve -2*j + 10 = -k*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3012 divided by 6\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/115 and 51\/92?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -131 + (-24 - (-101 - -55)).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2. Let u(m) = 43235*m**2 - 2. Calculate u(t(j)).\nAnswer: 172940*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0182325462 rounded to 6 decimal places?\nAnswer: -0.018233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/24*3*6. Suppose 9 = 3*a, -3*f - k*a = -3*a - 315. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**2 - 6*q + 8. Let n(x) = -6*x**2 + 7*x - 8. Let f(i) = 5*n(i) + 6*v(i). Is f(4) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4689212 is divided by 5609?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, v: 2, d: 8, k: 3}. What is prob of sequence tkkd?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -2 (c) 11\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/15)*p*p**(-2\/11))**(2\/177)\/(p**(-3)*p**(-3))**21 assuming p is positive.\nAnswer: p**(3680386\/29205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 27 + 2 + (2 - 11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 244 and 305?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - -5)\/1 - (-211 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 15*j + 14. Let o(b) = -3*b - 3. What is 11*o(d) + 2*r(d)?\nAnswer: -3*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -603 * 0.1.\nAnswer: -60.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = u + 2*u + 6, -u - 13 = -5*c. Let m(i) = -c*i + 9 - 9. Let p(k) = 10*k + 14*k - 21*k. Calculate m(p(q)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/917 or 0?\nAnswer: 8\/917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from ccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-95)\/(-85) - (-1)\/(-1))*(-2353)\/(-780) and 43\/561.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 352 + 3\/(-9)*0 + 3. Suppose -4*k + r + 722 = -h, -2*k = -2*h - 534. Is k a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28a7 (base 12) to base 16.\nAnswer: 127f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 17*k = 3*d + 200, 5*d = -20. Solve 51 = k*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4256 - -4464. Calculate the smallest common multiple of 780 and f.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17974 and 1520.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1741*l**4 + 5*l + 325?\nAnswer: 20892*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6633 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0045560651 to four decimal places.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2697, 2182, 1667, 1152, 637, 122?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1263 = 5*a, 5*a + 5*z - 35 = 1220. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14580\/4691 or 3?\nAnswer: 14580\/4691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -11) + -1 + -3 - 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48562603301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 50 = -o, 0 = 3*g + 5*o - 20 - 38. Let j = 205 - 95. Calculate the smallest common multiple of ((-6)\/15)\/((-2)\/j) and g.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by -3732.\nAnswer: 31\/1866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 + 3*r**3 + 3 + 14*r**4 - 25*r**4 + 10*r**4 - 2*r in the form m*r + i + x*r**4 + b*r**3 + c*r**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, j: 1, z: 3, p: 1, b: 5}. What is prob of picking 3 b and 1 z?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410 is divided by 38?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -306 + 308. Factor -18*b - 2*b - 1081 + 1105 + 4*b**o.\nAnswer: 4*(b - 3)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86917 + -31400. List the prime factors of s.\nAnswer: 7, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -200*a**2 - 10*a - 3. Determine u(-1).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 202277 - 38*t - 202277 + 43*t. Let y(h) = 891*h. Determine y(p(l)).\nAnswer: 4455*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 474 times -0.2\nAnswer: -94.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659846521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 170941\/18 - 9503. What is the common denominator of t and -79\/15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 4*a + 4, -6*a + 14564 = -2*j + 14570 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37210349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, 23, 4, 2, 0.\nAnswer: -83, 0, 2, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*f + 24*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -9*x - 1. Let z(b) = 14*b - 20. Determine -2*l(w) - z(w).\nAnswer: 4*w + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1257071 to 3 dps.\nAnswer: -0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1538*c + 1545. Determine i(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 306175, 612394, 918691, 1225102, 1531663?\n\"Answer: 6*n**3 + 3*n**2 + 306168*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -85.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4753\/(-91))\/7 - -7. Which is the second smallest value? (a) 1 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -334869 by 3.\nAnswer: -111623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-3 + -1 + 4 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-272)\/187*561\/(-34) + -24. Factor z + 4\/3*k**3 - 1\/3*k**4 + 0*k - 4\/3*k**2.\nAnswer: -k**2*(k - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81 * -26.47.\nAnswer: 2144.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19218 to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*p - 9 = 0. Let d be 1 + p + 2 - -48. Suppose k + 3*k = d. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 10 = -11. Round o to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18347309760 take away 0.033?\nAnswer: -18347309760.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -7*a - 0*d + 28, 16 = 4*a - 3*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -8) + (1 - 3) + 3 - 20?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -4, -3\/82, -1, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 - 40*b**3 + 244*b**2 + 280*b.\nAnswer: -4*b*(b - 5)*(b + 1)*(b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) - 5\/15. Suppose -12 = -5*q + 2*q. Suppose -2*c + 4*v = 3*c - 40, 0 = -5*v + 25. Solve b = j - q*j + c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9273305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -14618?\nAnswer: -1\/14618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 3*a - 16. Give u(7).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1654206437?\nAnswer: 13, 17, 23, 325439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -21*l**2 - 9*l - 9. Suppose -4*y - y = -20. Suppose -b - y = b. Let i(o) = -5*o**2 - 2*o - 2. Give b*r(q) + 9*i(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 231 + -165. Let k = -60 + n. What is the fourth smallest value in 1\/3, k, -0.5, 2\/17?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192000 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1852)\/22224*848\/4.\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101233 (base 6) to base 2.\nAnswer: -1111110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 9*r**2 + 23*r + 1. Let u be ((-2464)\/(-1584))\/((-2)\/(-9)). Calculate k(u).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6166\/4 - (-2)\/(-4). Let n = -479104 - -479171. Calculate the greatest common factor of x and n.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in centimeters?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 6:04 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**6\/120 - g**5\/15 + g**3\/2 + 13*g**2\/2 + 14*g. Let f(x) be the first derivative of i(x). Calculate f(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58954.\nAnswer: 2, 7, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-185481)\/8355 + 1 + 22?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 792*v - 3957. Let z be f(5). Solve 0 = 5*m - z*y - 25, 2*m + 22 = 2*y + 36 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 5*l**2 - 27. Let p be i(-6). Suppose p*x = -38 + 56. Suppose 1\/2*y**5 - 2*y**3 + 0*y**4 + 3\/2*y + y**x - 1 = 0. What is y?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.9 + -1.1. Let p = -17933\/2820 + 284\/47. Let a = p - 1\/12. What is the nearest to 0 in a, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -113*l**2 + 1207*l + 55. Give x(5).\nAnswer: 3265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 57*k + 60.\nAnswer: -3*(k - 1)*(k + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40358197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2.5. Let u = 0 - v. Let f = 0.4 + u. Which is the closest to f? (a) 0.2 (b) -3\/2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 50*t**2 + 104*t.\nAnswer: -t*(t - 52)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1486773249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*-0.1.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2724*b + 161. Let c(l) = -5448*l - 349. Calculate -6*c(s) - 13*p(s).\nAnswer: -2724*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -29.14 (b) -36 (c) -2 (d) 2\/9 (e) 2\/7 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5 + 4*x**4 + 7*x**3 - 34*x**2 + 24*x = 0. What is x?\nAnswer: -3, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from goowgopvlggogvogl. Give prob of sequence low.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 362147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3928 + -1221. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -39*q - 12. Calculate u(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -10*v**3 + 5*v**2 + 6*v - 920. Let i(f) = -8*f**3 + 4*f**2 + 5*f - 920. Calculate 6*i(x) - 5*r(x).\nAnswer: 2*x**3 - x**2 - 920","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + ((-306)\/24)\/((-6)\/(-8))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 3 - 1) + (-9 - -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (126 - (-4 - -1)). Find the common denominator of c\/(-12) + 4\/(-4) and 61\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 204\/(-4) - (-1 + 2). Let r = 34 - t. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 18. Let y be i(16). Which is the smallest value? (a) 0.6 (b) -5 (c) 0.5 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygfffgfgglgggfglmlgg. Give prob of sequence fy.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**7\/39 - 2*f**6\/195 - 7*f**5\/130 + f**4\/39 + 8*f + 3. Find d such that i(d) = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 + -1133?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/19)\/t)\/((t**(2\/39)*t)\/t))**(-4))**(1\/7) assuming t is positive.\nAnswer: t**(3428\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32431 and 32544.\nAnswer: 9340128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.6 times -1317378?\nAnswer: 37677010.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -4. Suppose -i*r = -r + 5*n - 79, 0 = -4*r - 4*n + 76. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - -0.4. Let y be (6\/(-4))\/(-9 + 2739\/308). Which is the closest to z? (a) 0 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 15*o**7\/14 - 61*o**6\/10 + 48*o**5\/5 - o**4 - 2075*o. Let x(c) = 0. What is c?\nAnswer: 0, 1\/15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 19. Let f(r) = -r + 4. Let b be f(-3). Calculate the greatest common factor of x and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.25 - 15. Let q = n + -0.15. Let i = q + 0.9. Which is the second biggest value? (a) -0.1 (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6614507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*j - 54*j - 27. Suppose -5*g + d - 2 = -32, 4*g + j*d - 5 = 0. Solve -6 = g*a - 31, 5*a = 5*y + 30 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23272903?\nAnswer: 61, 381523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3265, -2885, -2505, -2125?\n\"Answer: 380*r - 3645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71581\/12820 + -2\/9615. Calculate the common denominator of -1\/20 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -104\/55, 4, -5?\nAnswer: -104\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 9688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((21 - 9) + -5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + 58*g - 280. Determine a(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -1064*b**3 + 250*b**2 + 4*b = 0?\nAnswer: -2\/133, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140 - 112. What is the remainder when 79 is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-6)\/12*1*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3568571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129\/903 - 2\/(-14)*34?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11020 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: -4245.82 times 14\nAnswer: -59441.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 989\/39471 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2139551 is divided by 30.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110175 (base 10) to base 7.\nAnswer: -636132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 h, and 1 p when three letters picked without replacement from {j: 1, k: 2, u: 2, p: 1, h: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-110)\/88)\/((-2)\/8). Let p be (-1 - -2) + 6 + -3. Let f(q) = 64 - 60 - p*q**2 + n*q**2 + 5*q. Determine f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - 21) + 18 + 10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 49. Determine z(8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 3) + 7 - 4. Suppose -l*b + 7 = -2. Solve -b*g = -0*g - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5206*x - 166253 = 57605 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.026 - -8.026. Let s = -20 + n. What is the third biggest value in -0.2, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 14*q + 8. What is g(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19089759 + -5?\nAnswer: -19089762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 274784013 a multiple of 1449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. Suppose -t + c - 6 = 3*y, -2*t + 2*y + 14 = 0. Let o = -4751 + 4755. Solve 0 = o*h + 4*q + 4, q + t*q + 21 = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.49 - 2.6. Let k = 1.44 - -0.56. Which is smaller: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 182 = 5*m - 2*m, -5*m + 37 = t. Suppose 3*h = 5*u + 123, -3*h - 3*u = -t - 52. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 18. Let s = b - -16. Solve s = -2*k - 1 + 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 83\/16 + 66*(-635)\/(-134112)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) -1.4 (c) 10.42 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*w - 21. Suppose l + l = -w*t + 782, -4*t = l - 383. Suppose -s + l = -260. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60 + 59)\/(((6\/(-3))\/(-8))\/(-1)). Solve 92 - 68 = -h*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 2268829085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 16*r**2 - 5*r + 63. Let p be b(11). Let i = 2725 - p. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*j - 5*d, -5*d - 74 = -5*j - 4. Does 6 divide (12 - j)*(1 + 11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 71 = 35. Let o be z*-5*(-3)\/45. Solve 4*p - o = -0*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.058922 + 0.059. Round p to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -17037\/4, 2\/11 in descending order.\nAnswer: 0.3, 2\/11, -17037\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26230 + -4?\nAnswer: -26234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.925073 rounded to one decimal place?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -415 + 448 + -20 + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544008.\nAnswer: 2, 3, 19, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + a68b1a2?\nAnswer: a68b1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*d**2 + 4)*(14*d + 2 - 15*d - 10).\nAnswer: -3*d**3 - 24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*594\/726*(-4)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6b7 (base 13) to base 8\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 63, -7, -5, 12 in increasing order.\nAnswer: -7, -5, -1, 12, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -804 + 1161. Suppose 0 = 2*b - p - 235. Suppose -3*s - s = -b. Does 34 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14531809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 3*y**2 - 6*y - 17. Let g be p(5). Let i = -2588\/9 + 288. Factor -2\/3*u + i + 2\/9*u**g + 0*u**2.\nAnswer: 2*(u - 1)**2*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 790142128 to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -280 (b) -2\/3 (c) 0.3 (d) -2\/349 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -366 + 376. Suppose 0 = 5*d + m*d - 1410. What is the lowest common multiple of 10 and d?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 12. Let c = 23.6 + -24.6. Let n = c + l. What is the closest to 0.1 in -4, n, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11785 + 4.64255318.\nAnswer: 11789.64255318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 1 - 1)*(1 + 1 - 1)*(8 - 6 + 10) + 3 + q - 3 + 2*q + q - 4*q + (-2*q - 1 + 1)*(2 - 3 - 1) - 3*q - 2*q + 3*q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 1 = -11*j. Sort j, 5, -4 in decreasing order.\nAnswer: 5, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*i - 43*i + 68*i - 528*i - 1 - 74*i + i**2 to t*i + n + v*i**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54269 is divided by 85?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 62*q**2 - 8*q + 3235. Give i(-61).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 3*d**2 + 16*d + 13. Let f be o(-6). Suppose 64 = -4*l - 24. Let a = l + f. Solve a = -2*s + 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/5*29\/(4089\/(-94))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -765*f*m**3*t - 879062*f*m**3 + 67747*f*m**2*t + 123*f*m**2 wrt t.\nAnswer: -765*f*m**3 + 67747*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 11*j**4\/12 - 19*j. Let s(u) = 3*u - 9*u + 8*u - u. Determine s(v(d)).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -1, 3, 2, -850?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p*x**3 + p*x - 2*p + 22*x**4 - 115*x**3 + 231 wrt x?\nAnswer: 6*p*x + 264*x**2 - 690*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + (10 - (-10 + 35 - 7)) + -6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -466 - -475. Let u(x) = x**3 + 2*x**2 - 1. Calculate the least common multiple of u(1) and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**4\/8 + g**3\/6 + 3*g**2. Let j be o(-1). Let q = j - 2. Sort q, -5, 2 in increasing order.\nAnswer: -5, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7914556 is divided by 52414.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -10690?\nAnswer: -10689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 51, -3.\nAnswer: -76, -3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 3, -26.5, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 619620449 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114242791 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -20.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72641 and 2329.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 2*t**2 - 3*t - 4. Let s(u) = u. Let z be s(-3). Let k be p(z). What is the units digit of (-9)\/k + 2\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -0.935.\nAnswer: 6.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6680*s + 14877*s - 1983244 = 0 for s.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.34 + -4.04. What is the closest to -2\/3 in 1\/2, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/((v**(-26)*v)\/v))\/(v**(-20\/11)*v))\/(v**20*v**(-9)) assuming v is positive.\nAnswer: v**(196\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a minute in milliseconds?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3136, 3125, 3114, 3103?\nAnswer: 3092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 521 + -485. Suppose p + 19565 = z*p. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-4) + 70\/40. Suppose -c = 5*o + 8, -5*y - o = 102. Let p be -6 + 4 - y\/2. What is the greatest common divisor of 56 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 x when four letters picked without replacement from {x: 5, p: 7, q: 2}.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 4, f: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 179816 and 7436?\nAnswer: 1977976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5662, 6824, 8796, 11602, 15266?\n\"Answer: 4*x**3 + 381*x**2 - 9*x + 5286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21568.09 decades in years?\nAnswer: 215680.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 6:25 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3205566 and 12194.\nAnswer: 214772922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -g + 4*y, 4*g - 380 = -g + 5*y. Let s = g - 48. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-80)\/(-35) + 208\/2016. Let v = -0.5 - -4.5. What is the second smallest value in -5, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -217*f**4 - 72*f**3 + f - 1015. What is the third derivative of m(v) wrt v?\nAnswer: -5208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -996 by -249.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0 = -6. Suppose -p + g*p - 10 = 0. Is 40 + 0*(3 - p) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o + 11*o = -8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 626.2829 hours?\nAnswer: 2254618.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 21864 + 177832 = 0. Suppose -7*w - w = -p. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -6 + 20 + 2 + 5 + -62.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, t: 6, f: 7}. Give prob of sequence tttt.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*l - 10 = 44, -2*l - 20 = -2*h. Let u = -12 + h. Suppose -2*w - 3*q = u, -26 = -4*w + 5*q - 4. Let k(o) = o**2 - 3*o + 2. Give k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 20 = 2*v, 4*s + 44*v - 4 = 39*v for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -228622 + -3?\nAnswer: -228625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 640702.9 grams?\nAnswer: 640702900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 232399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -316135 divided by -63227\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12619877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1002518 and 2178?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*x - 1 = 0, 3*x = 3*t - 7 - 32. What is the tens digit of 2\/(t\/(-804)*-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**7\/84 + 3*v**5\/160 - v**4\/96 - 15*v + 19. Let u(l) be the first derivative of m(l). Find p such that u(p) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -50 - 4. Let s be (-54)\/(-6) - 1 - 2. Calculate the highest common factor of s and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 8*k**2 - 4*k - 1. Determine r(9).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 4*x - 9. Determine u(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 0.2, 6.\nAnswer: -0.6, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:29 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -15, -0.57, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7*w + 4209 = 8*w, 3147 = 3*x + 4*w. Calculate the greatest common factor of x and 324.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 5*t + 3. Let c be k(-6). Let o = c + 7. Suppose -5*g - 125 = -4*j, 2*j - o*g + 2*g - 60 = 0. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.9642 litres in millilitres?\nAnswer: 13964.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from wbjwwiwjqhjw?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.23, -15739\/2?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*p = -3540, -4*q - 32*p = -36*p - 2808. What is the highest common divisor of q and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436405 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 69\/4 (b) 5 (c) 1.2 (d) -15 (e) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10099 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 12, -5*z - 3*t - 3 = -1. Let b be (-2 + 2)*(-20)\/(-140). Solve -z*f + 7*f + 10 = b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 2*z - 596. What is the lowest common multiple of w(24) and 88?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 3. Suppose 4*p = -i - o, -4*i - 4*p - 117 = -7*p. Let g = i + 22. Sort g, -0.1, -1.\nAnswer: g, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 74*z - 160*z + 3 + 87*z. Give b(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(99) - sqrt(99))*6)\/(sqrt(225) + sqrt(225)*2*-2) + 0.\nAnswer: 14*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/15 and -131\/1605210?\nAnswer: 1605210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/20 + (40\/50)\/(-2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1586884.2 and -7.\nAnswer: -11108189.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(650))\/sqrt(2))**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*p + 29 - 89 + 63.\nAnswer: 89*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -18. Let j(y) = -4*y**2 + 3*y + 20. Let s(t) = -t**2 - t + 2. Let f(g) = -j(g) + 5*s(g). Determine f(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 8) in base 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 122453, 122458, 122463, 122468?\n\"Answer: 5*m + 122448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -403*s**3 + 840.\nAnswer: -1209*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3586, -7173, -10760?\nAnswer: -14347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 = 3*f - 0*u, 0 = 5*u. Calculate the highest common factor of 206 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (6 - (-1128)\/2) + -7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 50 (b) -6 (c) 2\/7 (d) 8 (e) -7 (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0423 - 114.0423. Which is greater: 2\/9 or m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516843012 to the power of 1\/3, to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6 and 22170854697?\nAnswer: 22170854691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6 = 3*d, 4*v = 3*d + 10 - 23. Suppose 0 = 3*x - 12, y - 7*x + d*x - 28 = 0. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 4) to base 15\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001403665177 rounded to 6 dps?\nAnswer: 0.001404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10425929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(sqrt(19) + -2).\nAnswer: -sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 714 - 463. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 78, -0.6, 0.5.\nAnswer: -0.6, 0.5, 1, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t - 7*t = 10395. Does 35 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97633169 or 97633170?\nAnswer: 97633170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -186 - -300. Suppose -1681*z + o*z - 2277*z - 232*z**2 + 480*z - 4*z**3 = 0. Calculate z.\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14474 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/117 - (-8)\/11 - ((-37004)\/363 - 5)\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - r - 1638 = -f, f + 2*r = 332. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11 + 8)*1 + 4 + 1. Suppose o*f = 3*f + 2*t - 551, -3*f = 3*t - 1638. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 603 - 12 - 15*q - q**2 - 272. Calculate g(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 4*r**2 + 0*r + 0*r**3 + 0 + 1\/270*r**5 - 1\/108*r**4. Factor t(h).\nAnswer: 2*h*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*73249\nAnswer: -512743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)*5)\/(sqrt(12)\/sqrt(4)*-1).\nAnswer: -15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbmmbmmbmbm. What is prob of picking 1 b and 1 m?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*u**3 + 4*u**2 - 3*u**2 - 72*u**3 + (5*u**2 - 2*u**2 - 4*u**2)*(u + 0 + 0) to the form j*u**3 + o*u + l + r*u**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49723, 99579, 149455, 199357, 249291, 299263, 349279, 399345?\nAnswer: 449467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 114 or -290?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-571 - 515 + 931)*((-4 + 1 + 6)*(4*q - 2*q + 0*q) + 2*q + 0 + 0) to the form l + p*q and give p.\nAnswer: -1240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or 8?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + sqrt(13) + 1*(sqrt(208))**2 + 4.\nAnswer: sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104553\/24310 + 2\/2431. Find the common denominator of k and 1404\/(-120)*(0 - (-10)\/(-42)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - 18. Let a be y(12). Solve -w - w = -a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 5579170?\nAnswer: 11158340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 3, k: 7, v: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.4063 to two decimal places.\nAnswer: 32.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yeca when four letters picked without replacement from qcyaeaq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 31. Let o(n) be the third derivative of 0*n - 1\/6*n**3 + 0*n**6 + 0*n**5 - n**2 - 1\/105*n**7 + 0*n**4 + y. What is the derivative of o(d) wrt d?\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 41*y - 35. Let v be x(5). Suppose -z + 94 = 3*q, -2*q - z - v = -7*q. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 104\/(-16) + 3\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0501 - -5.0501. What is the third smallest value in -4, z, 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 1. Let h be (2 - c)\/((-21)\/(-3)). Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -255 - -4848\/19. Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118246656 is divided by 40?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 26*v + 7254 = 0. Do -234 and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*n**3 + 13*n**2 + 5*n**2 - 6*n**3 + 9*n**2 - 26*n**2.\nAnswer: 21*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/(37\/185)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r - 2. Suppose -16 = -4*u, -4*b + 2*u + 4 = -0*u. Calculate s(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 968592481?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/25 of a second?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*(3\/(-30))\/((-18)\/(-16)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 784 + -785. Put -2, 0, u, 2 in decreasing order.\nAnswer: 2, 0, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 5, -276, -529 in decreasing order.\nAnswer: 5, -17, -276, -529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9*o**3 + 4*o**2 - 4. Suppose -67*v = -65*v + 198. Let c(q) = 69*q**3 - 294*q**3 + 99*q**2 - 5 - 23 - 71. Determine v*i(k) + 4*c(k).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-45)\/(-6))\/3*24 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*q = -35*q + 169 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*c*g**3 - 2*c*o + 26*c + g**3*o wrt o.\nAnswer: -2*c + g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*l + 32*l = -7924. What are the prime factors of l?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 6*x - 2*g - 1730, 0 = -3*g + 15. Suppose 0*m + 3*m - x = 0. What is m rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -78, -80, -82, -84, -86?\n\"Answer: -2*a - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 23*v + 75. Determine k(0).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3702, 15364, 34640, 61398, 95506, 136832, 185244, 240610?\n\"Answer: -22*t**3 + 3939*t**2 - t - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 5:01 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -8*a**2 - 5*a - 2. Calculate k(4).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -68479958 divided by 68479958?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*s + 5*t, 0*s = 2*s + 2*t - 6. Let v(a) = -a**2 + a**2 - 3*a**s + a**2. Let j(c) be the second derivative of c**4\/12 - c. Give j(v(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 9) in base 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 4:50 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -297, -214, 23, 492, 1271, 2438, 4071, 6248?\nAnswer: 9047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312 and 432393.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 961, 915, 857, 787, 705, 611?\n\"Answer: -6*c**2 - 28*c + 995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -339, -746, -1305, -2010, -2855, -3834?\nAnswer: -4941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/442427 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181\/70 + 108\/35. Let h**2 + r*h + 1\/2*h**3 + 0 = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - -79. Suppose 0 = -10*y + 13*y - u. Let k = y + 20. Which is greater: k or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 3. Let a(x) = 22*x**2 - 26. Let z(i) = -26*i**2 + 30. Let m(n) = 6*a(n) + 5*z(n). Let s(r) = -5*r**2 + 13. Calculate o*s(v) - 7*m(v).\nAnswer: v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uy when two letters picked without replacement from yubbo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 304, 419, 166, -629, -2140, -4541, -8006, -12709?\n\"Answer: -29*k**3 - 10*k**2 + 348*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 14*n + 16. Let f be k(12). Let r = 6 + f. Let d be (5\/2)\/((-1)\/r). Solve -d - 4 = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-9)\/24) - 3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g**2 - 11*g + 22. What is the tens digit of p(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 - -180. Let n be (-1*(-1)\/(-6))\/(m\/(-312)). Factor 1\/2*v + 3\/2*v**2 - n*v**3 - 1 - 1\/2*v**4.\nAnswer: -(v - 1)**2*(v + 1)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60939 and 26379.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1572*k + 21 = 2*x + 1572*k - 3149*k, -48 = 16*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164357922 - 6*k**3 - 164357922.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/9 - 1766*w**2\/9 - 171842*w\/3 - 5518418.\nAnswer: -2*(w + 241)*(w + 321)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68504457 and 2492?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 <= -131\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-2) + (-12)\/(-6). Suppose 2*t + 0*w - m*w = -11, 0 = -3*t + 3*w - 9. Suppose -5*z - s = -805, 5*z + t*s - 815 = -s. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 48459.45 years?\nAnswer: 4845.945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3 = -4*h, -m = -0*m - h + 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 9*i**2 - 6*i + 2. Determine v(-9).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181894.7 rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9858.7 - 9859. Put b, -1, 0.02, 3\/5 in increasing order.\nAnswer: -1, b, 0.02, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2685 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8 = 1. Suppose -f + 6 = -j. Suppose -2*o = y - 6, f = 4*y + 4*o - 27. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*o - 55, 2*d + d = -5*o + 52. Suppose t - 4*t = d. Let f be ((-18)\/(-12))\/(t\/4). Is -2 not equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 369, -4\/67, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 12*j - 7. Let o be z(-10). Suppose -u + o = -2*n - 0*n, 48 = u + 5*n. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 11*m - 14. Suppose 3*a + 11 = -22. Let j = a - -15. What is the remainder when g(j) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230\/26 + (24\/(-10))\/(3 - (-656)\/(-240)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 + 102. Suppose -5*w = 5*y - 3215, -1283 = -5*y + h*y - w. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (256\/(-112))\/(6\/(-15)) - 6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -5\/4 in increasing order.\nAnswer: -8, -5\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-3)*(-12)\/48*-6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -4, -36 in ascending order.\nAnswer: -36, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**8\/1008 + u**7\/630 + u**6\/120 - u**5\/180 - u**4\/36 - 18*u**2. Let y(b) = 0. What is b?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330545833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -194, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 64\/24*12\/176*2\/(-54)*3\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -6, -3 in descending order.\nAnswer: -1, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4490 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 15\/62 (b) 5 (c) 2\/77 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.78, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + 0 + sqrt(343)*-3*3)**2*-3*3*4.\nAnswer: -1001085 - 22680*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 12750321.2 to the nearest 100000.\nAnswer: 12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**4 + 13*d**3 + 20162*d + 35610948 wrt d.\nAnswer: 8*d**3 + 39*d**2 + 20162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/31 in -6, -5, -34, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/3, -0.4, -2\/17, -0.11 in ascending order.\nAnswer: -0.4, -2\/17, -0.11, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 19*g**2 + 261*g - 54. Determine x(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -205 - 6*t**5 + 400 - 198 - 24*t**5 + 20*t**2 - 20*t**2 + (-1 - 3 + 2)*(-4*t**5 + 4*t**5 + t**5) + t**5 + t**2 - t**2.\nAnswer: -31*t**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 9. Let u(m) = m**2 + 7*m - 3. Let c be u(-7). Let y = 0.2 + -0.1. What is the closest to y in c, -2\/3, r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 54, 133, 212?\n\"Answer: 79*c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -137 + 142. Solve -8 + 6 = 2*l, 2*l = -d*m - 17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.8629534 micrograms?\nAnswer: 862.9534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 34 + 23 = 4*m, -3*m - 5*t = -13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988570147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20205251 (base 9) in base 12?\nAnswer: 32b2501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13831*n + 4 - 4 - 6896*n - 6937*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 4, a: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*y**3 + 283*y**3 - 116*y**3.\nAnswer: -62*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**4\/12 - 4*w**3\/3 + 4*w**2 - 138*w + 1. Give o(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3873 + (-7 + 4 - -6). Suppose 3*p = -4*s + 8*p + z, -p = -4*s + 3860. Suppose s = 5*t - 2*a - 925, -2*t = a - 752. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyby when four letters picked without replacement from yyyyybby.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0958526 millilitres to litres.\nAnswer: 0.0000958526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**3\/3 + 2*g**2 + 1002*g - 139. What is the hundreds digit of c(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -49944\nAnswer: 49944.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -177633 divided by 9\nAnswer: -19737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 95 (b) -4 (c) 19 (d) 0.07 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 8116?\nAnswer: 1\/2029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 10*t**2 - 11*t - 6. Let y be c(-10). Let n = y + -69. Is n a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46709107?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*sqrt(3) - sqrt(3267)\/sqrt(9))**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.788042 - -11021.\nAnswer: 10997.211958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + b - 4*b + ((6 - 1 - 2)*(-6*b + 4*b + b) - b + 3*b + 7*b + b - b + b)*(1 + 1 - 1) in the form v + j*b and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = c - 2*h, -2*c + 5*h = -4. Which is greater: c or 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*g + 2*g + 3, 0 = -g + 2*p + 3. Find o, given that -9*o**2 - 16*o**3 - 3*o**4 - 27*o - 11*o**3 + 42*o**g = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (250\/(-30) + 5)*6\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 426, 15, 1, 2, 7 in increasing order.\nAnswer: 1, 2, 5, 7, 15, 426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 105, 224, 387, 594, 845?\nAnswer: 1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 12*r + 16. Let q be n(-12). Solve -4*x - q = -0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9 + 1 = b, 0 = b. Differentiate 14*l**j - 34 + 11*l**2 + 4*l**2 wrt l.\nAnswer: 58*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 5. Let r = 7 - f. Solve -2*n = -11 + r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 5*r, 11*c - 8*c = 5*r + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 98751.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-7)*6 - (-13 - -17)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1810287 and 4473.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.48 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156987, 157001, 157015?\nAnswer: 157029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/361821 and -23\/1447284?\nAnswer: 1447284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*z + 34. Sort z, -1, 0.\nAnswer: -1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 556165659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 0.16?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -40840, -686?\nAnswer: -40840","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6460*f**2 + 38*f - 10080. Let r(w) = 4307*w**2 - 27*w + 6720. Let n(x) = 5*p(x) + 7*r(x). What is the derivative of n(h) wrt h?\nAnswer: -4302*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 13*r - 16. Let c be o(14). Let i(g) = g**2 - 5*g - 7. What is the units digit of i(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49 or -12305\/256?\nAnswer: -12305\/256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 14*y + 10*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 14*u + 17. Let c be (17\/(510\/108))\/((-8)\/(-20)). Suppose c*q + 22 = -86. What is y(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 10:36 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/34 and 79\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 + -23.5. Let h = p + -20. Which is the second biggest value? (a) -5 (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -5 + 6 - (-17 - -29).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4216084 + 2?\nAnswer: -4216082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = -3*t, 4*t - g = 4*g - 10. Let f = 6 + -2. Let h = 4.2 - f. Which is the third smallest value? (a) t (b) -0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 3*g**2 + 4*g + 3*g**4 + 41)*(48 - 48 - 5*g)*(-2 - 4 + 4).\nAnswer: 30*g**5 + 30*g**3 + 40*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10}. What is prob of sequence mm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/14*22932\/(-4212)?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/219744 and 199\/68670?\nAnswer: 1098720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -748, -1424, -2110, -2806, -3512, -4228, -4954?\nAnswer: -5690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u + 32. Let r = 118 - 107. Let y be q(r). Suppose 5*t = 226 + 24. What is the highest common divisor of y and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -253, -9, 4.\nAnswer: -253, -9, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 300 - 296. Suppose 0 = k*d - 1717 - 2111. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, x: 3, r: 5}. What is prob of sequence roo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/3 and -37\/145.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - 5*v**2 - v**2 + (16*v - 7*v + 2*v)*(-3 + 3 + 2*v))*((-v - v + 0*v)*(1 - 2 + 2) - v + 6*v - 2*v).\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/1 + 4 + -2. Let w(b) be the second derivative of -1\/12*b**4 - 3*b + t + 0*b**2 + 0*b**3. Let m(n) = 5*n**2. What is m(w(i))?\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 5*f**2 + 71*f - 296. Determine r(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 18 = -y, -5 = 3*y + 4*s + 5. Solve -c = -5*c - y*u + 26, -5*c + 40 = 5*u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-42)*63\/12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + m**2 - 4*m**2 - 16 + 11*m - 11*m**2 + 5*m**2. Let q be f(8). Calculate the highest common factor of q and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(833) + (sqrt(833) + 0)**2 - (sqrt(833) + (3 + sqrt(833)*-2)**2 - sqrt(833)).\nAnswer: -2505 + 91*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -11c?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l - 2*l)*(0 + 0 - 1) + 8*l - 4*l + 0 - 2.\nAnswer: 6*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -43*-6\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35896, 143582, 323074, 574378, 897500, 1292446, 1759222, 2297834?\n\"Answer: p**3 + 35897*p**2 - 12*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - -8 - -1*1) + 3. Which is bigger: h or 0.08?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55085\/(-2070) + 26)\/(-10 + -1).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + ((-208)\/12)\/(-4))*279\/(-62)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.1. What is the second smallest value in -0.08, 0, j?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 344394300.\nAnswer: 1033182900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -942*y + 133. Is a(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1))**(2\/21)\/(n**(-2\/3))**(18\/5))**(-1\/25))**25 assuming n is positive.\nAnswer: n**(-242\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t**(2\/5)*t))\/t)**(-13\/2)*t\/(t*(t\/(((t*t**12*t)\/t*t)\/t))\/t)*t\/(t\/t**(-4))*t assuming t is positive.\nAnswer: t**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -16945*w**2 + 11719*w - 13. Let z(c) = 2820*c**2 - 1953*c + 2. Let m(d) = 2*n(d) + 13*z(d). Find the second derivative of m(x) wrt x.\nAnswer: 5540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*d**4 + 2810*d**3 - 245915*d**2 - 70490*d = 0.\nAnswer: -133, -2\/7, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 610831 and 1?\nAnswer: 610831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 0. Let k(g) = g**3 - 4*g**2 - g + 2. Let s be k(q). What is the tens digit of ((-4)\/(-12))\/(s\/(-78))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((14476\/35)\/(-188))\/(2*(-2)\/(-40))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**4\/4 - t**2. Let z be (-1)\/(-7 - (-174)\/28 - (-4)\/14). What is g(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005845544 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*a**4*v**3 - 885912*a**4*v - 2*a**2*v**3 - 729*a**2*v - 465*a**2 wrt a.\nAnswer: 1320*a*v**3 - 21261888*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2809 and 477.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*u + 114, 76 + 97 = 3*u + 5*m. Let p = 1 + u. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1964\/2455*(-5)\/(-14) - (-140)\/49\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, g: 2, r: 1, i: 1, e: 2}. What is prob of picking 2 g?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert a5 (base 13) to base 14.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 268 from -494169357654.\nAnswer: -494169357922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*x**3\/11 - 282*x**2\/11 - 2370*x\/11 - 5550\/11.\nAnswer: -6*(x + 5)**2*(x + 37)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnnnwwnnnn. What is prob of picking 3 n?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*v - 32*v - 28*v - 2*v + v - v + (-2*v + 2*v - 8*v)*(-4 + 4 + 1) + 3*v - 2*v - 2*v + 0 + v + 0.\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 7 - 22)*(r + 3 - 3)*(r**3 + 5*r**3 - 5*r**3).\nAnswer: -23*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1249375987 to the nearest integer?\nAnswer: 35347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 670 = 34*v + 398 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*t + 2900 + 3088 = 0, 2*t - 5984 = -5*w. Suppose -4*o + 4*v + w = 0, -v + 6*v + 905 = 3*o. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 h when three letters picked without replacement from {h: 12, i: 6}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 7395.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, e: 16}. What is prob of picking 3 t?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 10. Let p = -6 - z. Suppose p = 7*y - 3*y + 4*g, -4*y + g = -5. Solve -t = -2*t - y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 28. Let u be -4 - (3 + w) - -1. Are u and -39\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from {w: 1, n: 6, q: 1, x: 3, r: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7695\/11 + -699. Let v = 1.1 + -1.6. Let x = -1\/16 - 29\/48. Which is the biggest value? (a) x (b) w (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/n**23*n*n*n)\/(n*n**20) assuming n is positive.\nAnswer: n**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10042.999940224 - 10043. Round p to 6 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -480 and 0.13.\nAnswer: -62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 5*v**2 + v + 4. Let r be g(5). Let c = -4 + r. Solve 3*p - c*h - 12 = 0, -4 - 8 = -3*p - 4*h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 352640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 526 - (-4 + -1 + 7). Let q = w - 313. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 11:28 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 42 = -i - 11, -3*i + c = -113. What is the greatest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c - c + 3*c)*(-70 - 9 + 36) to the form h + r*c and give r.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -392? (a) 22 (b) 137 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31565.1035 rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 122761 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/9 (b) 0.4 (c) -2 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-11) + (-14)\/(-66)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 4*v. Let p be o(-3). Let b be (-2)\/p*9\/(-12). Sort 2, b, 0.1.\nAnswer: b, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3088.269ml?\nAnswer: 3.088269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0 = -3*k - 1, -3*y + 2*k = -3. Suppose 4 = d - y. Let q(r) = r**2 - 6*r + 6. Let c be q(d). Is c less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -429*r + 423*r - 18. Let n(q) = 2*q**2 - 9. Let h(g) = 2*g**2 - 8. Determine r*n(z) + 4*h(z).\nAnswer: 2*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 35ad (base 14) to base 11\nAnswer: 7044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + -1 + sqrt(17).\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**5\/5 + 339*x**4\/5 - 8679*x**3\/5 - 51483*x**2\/5 - 23718*x\/5 + 83544\/5 = 0. Calculate x.\nAnswer: -4, -2, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2437020 is divided by 3820.\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 21. Let v be (-282)\/(-8) + (-2)\/8. Let w = 2 + v. What is the remainder when w is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51584 divided by -32\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3758*m**3 + 1056*m**2 + 10. Let x(t) = -5637*t**3 + 1584*t**2 + 14. Let n(a) = 7*b(a) - 5*x(a). Find the third derivative of n(w) wrt w.\nAnswer: 11274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*u = 38*u + 84. Let b(l) = l**3 - 30*l**2 + 57*l - 14. Let k be b(u). Solve 3*o + k = -2*n, -4*n + 6*o - 3*o + 8 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121211 - -21002?\nAnswer: -100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2 + 7*b + 7. Let n(w) = 8 + 0 - 7 + 2*w**2 - 4 - 3*w. Let f = -109 - -65. Let k = -47 - f. What is k*u(c) - 7*n(c)?\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -41*t**2 + 36*t + 83. Let q be y(6). Which is smaller: q or -9423\/8?\nAnswer: -9423\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 4, 0, 78 in decreasing order.\nAnswer: 78, 4, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 9 - (-23 + 18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3.1. Let k = -23.96 + -0.04. Let h = k - -22. Which is the closest to u? (a) 1\/4 (b) h (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from {k: 1, f: 1, d: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 9*x = -33. Solve -2*s - 18 = -c + x*c, -4*s = -5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/((-2)\/(-198)). Suppose 0 = 5*j - 17 - t. What is the remainder when 29 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103281050 is divided by 99.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*a - 1882, 2*x = -13*a + 10*a + 1429. Suppose 0 = 9*m - a - 364. Calculate the remainder when m is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*a**3 - 65*a**3 + 249*a**3 + 150*a**3.\nAnswer: 573*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*t - 96*t + 152*t + 2 - 51*t.\nAnswer: -141*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48989 and 10?\nAnswer: 489890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 621.080117 - 12367?\nAnswer: -11745.919883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 2. Let d be o(4). Let z = -2289 + 2328. Let q = z - d. What is the highest common factor of q and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -4*q + 6. Calculate the highest common factor of 60 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1890, -3232, -4574?\n\"Answer: -1342*t - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -79.\nAnswer: 14\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1744972*o**4 - 1396098?\nAnswer: -6979888*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4765 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 t when three letters picked without replacement from hhhteteget.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -592*b**4 + 100*b**2 + 4*b + 416*b**4 + 171*b**4 to the form v + i*b**3 + t*b**2 + n*b**4 + j*b and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 + 141*p**2 + 291*p + 147 = 0. Calculate p.\nAnswer: -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 8:51 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -819*a**4 + 3*a**2 + 8*a + 5. Let m(h) = -819*h**4 + 2*h**2 + 8*h + 7. Let u(q) = -3*m(q) + 2*x(q). What is the second derivative of u(z) wrt z?\nAnswer: 9828*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 3*s**2 - 3*s - 4. Let t be y(-3). Solve -z - 11 = 5*p, 0*p - t*z + 11 = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 2*z - 4. Let r be y(-4). Let l = r - 0. Let u(o) = -o**2 + 3*o - 2. Let q be u(2). Solve -i - i - l = q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 20 = 0, -44*x + 39*x - 8 = 3*f. Which is the closest to f? (a) -5 (b) 0.3 (c) 3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 59aa77 + -13?\nAnswer: 59aa64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3188114576 to the power of 1\/3, to the nearest integer?\nAnswer: 1472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 1 - 7, 3*y = -5*v + 754. What is the highest common factor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 6*k + 2*k = -119, -r + 46 = -5*k. Let h = 45 - r. Differentiate -a**2 + a**2 - 14 + 6*a**h with respect to a.\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 1 + -29 + 7.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2 + 14. Let i be (-176)\/k*-3 + 4. Does 12 divide (-770)\/(-8) - (-10)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -17*u + 1288. Let h be 2551\/30 + 2\/12. Is u not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2204\/130085 or 0?\nAnswer: -2204\/130085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27779 at least as big as 305559\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-2))\/(34*(-11)\/(-1496))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11898)\/(-13881))\/(1\/(-56)*2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.67 + -10. Let d = f - -42.83. Let t = 42 - d. Put -1\/2, 4, t, 0.1 in ascending order.\nAnswer: -1\/2, 0.1, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 46 = 3178. Let x be (44\/(-6))\/(4\/t). What is the greatest common factor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 72333339.156085.\nAnswer: 72333337.156085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7*x + 33 - 102 - x**2 + 31 + 33. Determine r(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6890 to the nearest one hundred.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1532\/3 - -518. Let l = -112\/15 + s. What is the closest to 0 in -3, 1\/6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4330693 greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/((-256800)\/1819)*-50?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-54)\/(-9) - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 - (-70 - 2)) + -3 + -14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7*u = 3*y - 8, 0 = 4*y - 3*u + 4. Let o = -4 + 11. Let g = o + y. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 13 - 21. Let y(m) = 2*m**2 + 6*m + 7. Let r be y(i). Solve -r*x = 2*q - q + 5, 4*x + 10 = -3*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22938303 to the power of 1\/3, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1042\/4 + 24\/16. Let c = r + -383. Let s = -8 - c. 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 (8 - (-6 - (-6 - 8))) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5394 or -15409?\nAnswer: -15409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = q + 6. Suppose 4*z - q = -6. Let x be z\/(-12) - 6\/18. Which is bigger: x or -1.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + ((3*sqrt(288)*2)\/sqrt(12))\/(sqrt(300)*-1 - sqrt(60)\/(sqrt(5)*2 - sqrt(5))))**2.\nAnswer: -9 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -164640610.999992 + 164639981. Let l = 630 + m. What is l rounded to seven dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 699 - 195. Suppose 11*j = -3*j + i. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 58*j**3 + 14*j**2 - 14*j. What is c(1)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/((-12)\/(-8)). Let n(x) = 34*x**2 - x. What is the remainder when 2*(1 - 7\/((-7)\/48)) is divided by n(o)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42750)\/(-961875))\/((-1)\/(-2)*(-24)\/9)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 16. Let i = -2 - b. Let v(s) = s**3 + s + 11. Calculate the remainder when 43 is divided by v(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.65793447 - 935.65753747. Let r = i + 927. What is r rounded to five dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-2))\/(9\/(-39)). Suppose -5761 = -s*p - 1445. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -162.8 and -0.523.\nAnswer: 85.1444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/16*26\/78.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/(-32) + -2 - (124000\/256)\/25?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 30 = -3*w. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/762 and -1\/547878?\nAnswer: 547878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 6) + (0 - -3) + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 23, 21891 in increasing order.\nAnswer: 17, 23, 21891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 1. Let k be (-3)\/1 + 2 - 0. Let b be v(k). Are b and 1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11393 = -u + w + 52505, 5*u + w = 205530. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 1. Let h(r) = -r**3 + 8*r**2 + 6. Suppose -d = 2*q - 0*d + 3, d + 1 = 0. Let w(j) = q*h(j) + 6*v(j). Find the third derivative of w(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/(-72)*(-6)\/(-1). What is the tens digit of (5 + -9 + d)*199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 1:28 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1098 - 17917*l**2 + 17911*l**2 + 548 + 550.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i - 2*i + (5 - 5 + 2)*(2*i + 0*i - 3*i))*(3 - 3 + 2*i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7311 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 0*u - 20. Suppose 0 = -u*j + 3*s + 14, -6 = -2*j + s + s. Suppose 4*t - t - j*n = 31, -2*n = -2*t + 22. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from flpjjfjj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 8. Let h(b) = b**2 - 4*b. Let c be h(k). Suppose c = -3*w - 3*u + 15, u = 3*w + 2*u - 19. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 24, 49, 84, 129?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m. Let w(i) = -16*i**2 + i**2 + 3*i**2. Determine s(w(d)).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + 3*o + 24. Give y(-6).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -268*j**4 + 87 wrt j.\nAnswer: -1072*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k + 21. Let l(n) = -n. Determine 6*l(g) + w(g).\nAnswer: 2*g + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 96 = 75. Let t(r) be the second derivative of -2*r**2 + 1\/3*r**4 + 1\/5*r**5 + 0 - 2\/3*r**y - 3*r. Factor t(d).\nAnswer: 4*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, d: 1, e: 1, b: 2, k: 4, q: 4}. Give prob of picking 1 q, 1 e, and 1 k.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*r + 42. Suppose 4*z - r = -q, -2*z = 3*q - 14 - 18. Let h = -22 - -31. Do h and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*g - 6. Let i be (-20)\/3*(-21)\/g. Is 753\/15 + (-2)\/i a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -319000 rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f**4 - 12 + 10 - f**4 + 9*f to the form l*f**4 + x*f**2 + b*f**3 + w + q*f and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.0477.\nAnswer: -0.02385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 78197005 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b**2 + 11*b - 53. Let g(s) = 3*s**2 + 4*s - 18. Give -11*g(h) + 4*n(h).\nAnswer: -h**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/922698 and -121\/3864.\nAnswer: 84888216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - 6*1*sqrt(171))\/sqrt(9))**2 - -2*(sqrt(76) + 1).\nAnswer: 4*sqrt(19) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5551522 divided by -18?\nAnswer: 2775761\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/2*(504\/(-16))\/7. Let u = 443 + f. What are the prime factors of u?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpb when three letters picked without replacement from {c: 1, b: 1, z: 1, h: 1, p: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166 - -186. Calculate the remainder when 178 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*58\/232.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 7 + 80*y - 38*y to a*y + l and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -943565.5 and 0.7.\nAnswer: -943564.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 8*i + 10. Let b(y) = y**3 - 9*y**2 - 9*y - 6. Let h be b(10). Determine u, given that 2*u**2 + 3*u**2 - h*u**i + u = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 0.2. Let l = -6 + 2. Let n = 6.859 - 8.859. Which is the third biggest value? (a) l (b) n (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 15, -20 + 0 = 5*h + 4*w. Which is greater: 1\/9 or h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 13 = -q, b - 20 = -b + 5*q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 88.76437 tonnes?\nAnswer: 88764370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.95 - 0.05. Let r be ((-4)\/(-3))\/((-2)\/(-6)). Suppose 0 = -u + 4*y + 8, 2*u + 8 = -0*y - r*y. Which is smaller: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191\/12 + -209\/12. Is z not equal to 6\/2815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*h + 0)*(4 - 2 - 3) - 170*h + 529*h + 276*h.\nAnswer: 633*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 62?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 89 and -17?\nAnswer: -1513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 4*r + 16, 7*l = -57*r + 56*r + 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1897 is divided by 529.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 34*y**2 + 22*y - 14. Let q(l) = -5*l**2 - 3*l + 2. Let k(s) = 44*q(s) + 6*w(s). Let x(m) = -16*m**2 + 5. Give -5*k(i) + 4*x(i).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**2\/7 + 296592*u\/7 - 7330567872\/7 = 0. Calculate u.\nAnswer: 49432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32848805 divided by 55.\nAnswer: -597251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*-1 + sqrt(133))*-3 - ((sqrt(133) - (sqrt(133) - sqrt(133)*2)*-6) + sqrt(133)))\/(5*sqrt(448)*-1).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 1:55 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 231.9867 - 232. Round w to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 2. Suppose 0 = -l - 2*g - 5, 0 = 3*l + 4*g - 0*g + 13. Suppose 0 = -2*v - 2 + 4. Let m(u) = -v + 35*u - 35*u + u**2. Give l*x(w) - 5*m(w).\nAnswer: -2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2623157950 to the nearest one million.\nAnswer: -2623000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 3*i + 6. Let v(u) be the first derivative of -u**4\/4 - u**2 + 5*u + 76. Let k be (-1)\/(-2)*4\/1. Give k*a(h) - 3*v(h).\nAnswer: h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -31. Let d(r) = -r + 5. What is the remainder when 48 is divided by d(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 14300736*x - 51127762535424.\nAnswer: -(x - 7150368)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s + 15. Let a(h) be the third derivative of -5*h**4\/24 + 8*h**3\/3 + 302*h**2. What is 3*a(w) - 4*o(w)?\nAnswer: w - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**4 - 341*q**3 - 82*q**2 - 2 wrt q.\nAnswer: 48*q - 2046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1248 and 88896?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 19 = -2*n, 350*n - 3*b + 27 = 352*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d**3 - 80*d**2 + 175*d + 2285. Determine v(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 13*p**2 + 2*p + 15. Let u be r(13). Suppose -18 = -3*b - 12. Suppose b*i = i + u. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 284.4 - 282.6. Let s = -0.08 - -9.08. Let w = s + -8.6. Sort w, x, 0.1.\nAnswer: 0.1, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21004 and 463156.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 2, 43 in decreasing order.\nAnswer: 43, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 10895198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 659999*c**4 - 47*c**3 - 303834699*c?\nAnswer: 7919988*c**2 - 282*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 + 12*p**3 - 6*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 - 64.124. Let n = c + 0.123947. What is n rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 10. Suppose -t*p + 0*p + 9 = 0. Solve 4*q + p - 11 = 0, 2*j - 5*q = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -1103014?\nAnswer: 1103023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - m - 2 = 0, -104 + 143 = 3*l + 3*m. What is the biggest value in -145, -4, -5, -12, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528055753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r - 13 + 0 - 12*r + 45 - 3 - 13.\nAnswer: -2*r + 16","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3430 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -769 + 164796.\nAnswer: 164027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 14. Suppose -3*l + 80 = -l. What is the highest common factor of a and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3841795 by -5.\nAnswer: 768359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -318634 (base 10) to base 13\nAnswer: -b2054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/2*2\/72. Suppose -967 = -16*x - 87. Let f = x - 54. Is f at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 6. Suppose -3*u + u - 46 = -w, 4*w - 148 = -y*u. Suppose k = -4*k + w. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 697 or 1321?\nAnswer: 697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 214*v - 3483*v + 1641 - 862*v - 251 - 87 wrt v.\nAnswer: -4131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -22*d**2 + 2112*d - 10003. Determine r(91).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*o**3*u - 11*o**2*u - 4524*u wrt o.\nAnswer: -102*o**2*u - 22*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrlrllxlrrl. Give prob of sequence rr.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -253 + 406. What is the remainder when o is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 149, 221, 293?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 7833?\nAnswer: 78330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267259 is divided by 74?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*s**5 + 3*s**2 - 12*s wrt s?\nAnswer: 1140*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-3 + 3)\/4. Let v(y) = y + 7. Let r be v(b). Solve r*t + 8 = 0, 5*j = 3*j + 4*t + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {s: 2, w: 5, e: 1, v: 1, y: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.067 + 0.067. What is the closest to 5 in -73, h, 4, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from {z: 2, p: 2, l: 6, r: 1, x: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 7*i + 1. Let z be f(3). Let b be (-6)\/4*(-664)\/12. Suppose -b = -z*u + 49. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from {a: 1, f: 4, o: 1, x: 4, h: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -212 bigger than 431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1235925 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4133a7 (base 13) to base 10.\nAnswer: -1520968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5 = 1. Let g be j + 9\/(-2) + 4. What is the smallest value in 3, -0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31564 less than 1.218913642?\nAnswer: 31565.218913642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 41*i**2 + 34*i + 197. What are the prime factors of t(-7)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3))**(3\/28)*u\/(u\/u**0*u)*u**(-9)*u assuming u is positive.\nAnswer: u**(-251\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/1621 - -4871\/3242. Let n(z) = z**2 + 6*z + 1. Let w be n(-5). Which is the nearest to 1\/4? (a) o (b) w (c) 0.014\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3487417 = -9*z - 8*z + 1525186. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -697, -690, -669, -628, -561?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(315) + -2*sqrt(315) - sqrt(315)))\/((sqrt(175) - -1*sqrt(175))*-6)*2.\nAnswer: 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - -6 - ((-2)\/(-2) - -8). Suppose 0 = 2*d + 2 + 6. List the prime factors of (-78)\/d + k\/(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90590.5259 rounded to the nearest 100?\nAnswer: -90600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 35\/(-11) + (-10)\/(-55). Is y*16\/12 - -11 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 11*q**2. Let u(n) = -65*n**2 - 6. Calculate v(u(t)).\nAnswer: 46475*t**4 + 8580*t**2 + 396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36.137 - 24.137. What is the closest to j in -4, -2, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53696 divided by -1\nAnswer: -53696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 31. Let h be (208\/(4\/q))\/((-1)\/(-9375)). What is h rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55803 divided by -10\nAnswer: -55803\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 - 5*y**2 + 18 - 1 + 1 - 2*y**2 + (-2*y + 0*y + y)*(y + 0 + 0) + 0*y + 0*y - 2*y**2)*(1 + 2 - 2) in the form s*y**2 + w*y + k and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2767*m**2 + 1 + 393*m - 136*m - 255*m to the form f*m + p + h*m**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*x - 3*s, -5*x - 112*s = -117*s - 25. Solve -6*g + 4 = -x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -5\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -794*l**3 + 6*l**2 + 4*l - 13. Is k(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/14 in 2, -7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6468 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1134? (a) 2 (b) 0 (c) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 653726 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**2 - 1. Let c be g(1). Suppose -c*t + t = -8. Find the second derivative of -t*l - l + 0*l**3 - 2*l**3 wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 9. Solve u + 8 = -m*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73 - 327 + 79 - 7*r + 84 + 75 in the form x + m*r and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2135130 (base 6) in base 11?\nAnswer: -727a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 2*j**5\/55 - j**4\/11 + 2*j**3\/33 - 62. Suppose h(d) = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40973 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*o - 5*o = -25, 2*f - 3*o = -5. Let w(l) = 11*l**2 + f*l - 5 + 0*l + 3*l. List the prime factors of w(-4).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttjjatvtjjujayttt. Give prob of picking 1 v and 1 u.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1624 - 4?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1203, 1200, 1195, 1188, 1179, 1168, 1155?\n\"Answer: -w**2 + 1204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 378504514*r + 416144226.\nAnswer: 378504514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -q - 7752, 36*s - 34*s + 4*q - 3858 = 0. Solve s - 1933 = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377618399 a multiple of 3108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwh when three letters picked without replacement from {w: 7, h: 12}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.451 minus -5081370011?\nAnswer: 5081370013.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -2*y**3\/3 + 2028. Let i(j) = j - 2. Let p be 3\/5 + 6\/15. Let x(c) = -c - 1. Let u(n) = p*i(n) - 2*x(n). Determine t(u(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/3, -1\/6, -2, -3\/8?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 7*q + 18. What is the nearest to 1\/4 in q, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-15)*(-108)\/24. Let j(n) = 5*n**2 + n. Let r be j(2). Sort r, g, -3\/8 in increasing order.\nAnswer: g, -3\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154591*n - 154591*n + 5*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 7:56 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3007568732?\nAnswer: 2, 7, 107413169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1385, 1, 640, 0, 2.\nAnswer: 0, 1, 2, 640, 1385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 45 = -5*u, -5692*a - 2*u = -5695*a + 26 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40456 divided by 221.\nAnswer: -3112\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 86 = l - 1 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4, -246.\nAnswer: -246, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 61 + -1a?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f - 31. Let m be t(-11). What is the closest to 2 in -0.3, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 8, -6*a - 5*z + 18 = -2*a. Let l be -3*(-2)\/3 - 2. Solve f + f - a = l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06179057*6\nAnswer: -0.37074342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 80\/280 + 16\/(-7) + 1. Let s be ((-4)\/8)\/(g\/106). Suppose 3*c = 3, c = 4*h - 2*c - s. Calculate the greatest common factor of 126 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9 + (-8 - 15 - -24). Let v(i) = -i**3 - 6*i**2 + 8*i + 8. Let a(x) = -2*x**2 + 3*x + 3. Give l*a(n) + 3*v(n).\nAnswer: -3*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 4:49 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 - 21. Suppose 4*w - 76 = -3*g + 44, 0 = 3*w - g - o. Calculate the highest common factor of w and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/5 of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -144*x**2 - 5*x + 193*x - 78 + 84*x**4 - 4*x**3 - 86*x**4 + 40*x**3.\nAnswer: -2*(x - 13)*(x - 3)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 3:05 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 9*w + 5. Let h = 31 + -29. Suppose -q + 10 = h. What is j(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58315 is divided by 325?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 332*q + 67 - 326*q + 4.\nAnswer: 6*q + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 339, 651, 923, 1155, 1347, 1499?\nAnswer: 1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 2)\/(1 + 1). Suppose 23*r - 35 = 16*r. Suppose -107 = -5*j - 102. Solve -r*i - j - 14 = p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*l + 84270 = -774*l + 55*l - 322*l for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167162 (base 8) in base 6?\nAnswer: 1150334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147 + -151. Let u(r) = -r**2 - 6*r - 14. What is u(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - (0 + -2 - -6 - -2)) + 21 + -135?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-15) + 131\/(-3). Let w = f - -44. Is w bigger than 27\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3425\/(-245) - -26) + (-2 - 10).\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-2)*36\/(-162). Let y be 2 + -4 - (-16)\/7. Put y, k, 0.1 in descending order.\nAnswer: y, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -189 at most -0.64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 17*i + 252. Suppose 0 = 3*z - 0*z - 4*d - 41, 4*z - i = -2*d. Solve 0 = 2*n - 3*h - 21, -3 = 2*h + z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/4840 and -61\/9196.\nAnswer: 91960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3 + 28612*a**2 + 102330818*a = 0. Calculate a.\nAnswer: -7153, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1677 and 516.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2. Let x(c) = -87470*c + 2. Calculate s(x(g)).\nAnswer: 7651000900*g**2 - 349880*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 235080 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -991 + 1038. Calculate the remainder when 187 is divided by u.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -510703639*i**3 - 10239822*i + 1?\nAnswer: -3064221834*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in -1\/13207, -0.4, -0.35?\nAnswer: -1\/13207","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 186.4 - 168. Let u = -3.4 + j. Let k = u + -15.000061. What is k rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 12:58 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(448) + sqrt(448) + 4*sqrt(448)*-4 + sqrt(448) + sqrt(448) + sqrt(448))\/sqrt(8)*-2)\/(-6*sqrt(1152)*1 + 4*sqrt(1152)*2))**2.\nAnswer: 847\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8892.7 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 867*b**2\/4 + 2356761*b\/2 + 6406369563\/4.\nAnswer: 3*(17*b + 46211)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -3)*(-6)\/(-15)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**5\/60 - d**4\/12 - 3*d**2\/2 + 2*d. Let i(k) be the first derivative of j(k). Determine i(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16082 - 16078. Let s(y) be the second derivative of 1\/3*y**3 - y**2 + 0 - 4*y - 1\/6*y**c. Let i(a) = -3*a**2 + 2*a - 2. Determine -4*i(d) + 5*s(d).\nAnswer: 2*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 242*g - 241*g = -15, -x = 3*g - 10. Let w = 0.3 + -0.3. Which is the biggest value? (a) w (b) -7 (c) -0.4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -176 + 176.218. Let j = l + 0.182. Which is the nearest to -1? (a) j (b) -3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*o + 775 = 148*o - 17. Let r = -7 + 4. Let g = 13 - r. What is the highest common divisor of g and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2107566 divided by -62\nAnswer: 33993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000447485 rounded to six decimal places?\nAnswer: -0.000447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456732 is divided by 820.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kso when three letters picked without replacement from ossxkkzqq.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 34 + 34 + 0*s**3 - 2*s**3. Let n(d) = d**2 - 6*d - 11. Let g be n(6). Let t(x) = -3*x**3 - 2*x**2. What is g*p(f) + 6*t(f)?\nAnswer: 4*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7*a + 6 = 0. Let z be ((-3)\/(-4))\/(1\/(-8)). Let v be z\/9 - 3\/9. Sort -4, v, a in ascending order.\nAnswer: -4, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 + 458 = -373*g + 243 - 715 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1840 = 1014*h - 1129*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (765\/(-68))\/(90\/(-144))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.2 - -15. Which is the second biggest value? (a) l (b) 0.8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 417 - 419. Sort 2\/5, y, 2, 0.1.\nAnswer: y, 0.1, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**4 - 6*u**4 + 3*u**4 + (-6 + 2 + 2)*(0*u + 9*u - 3*u)*(2*u**3 + 0*u**2 + 0*u**2).\nAnswer: -23*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -83 + 2*l**4 - 3*l**2 + 81 - 5*l**4 as u*l**2 + z*l**4 + m*l**3 + v*l + x and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/4 - 2\/(-4). Which is bigger: d or -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -180\/47 smaller than -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 170, 852, 2154, 4214, 7170?\n\"Answer: 23*m**3 + 172*m**2 + 5*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 458?\nAnswer: -183.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000033187 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 8 - 9 = 3*y + 6*g, -3*y + 2*g = -3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + 4 - (79 - (34 + 55)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8486299 centuries in decades?\nAnswer: 8.486299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*j**3 - 125*j**3 + 38 + 19 to z*j**2 + r*j**3 + m*j + l and give l.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2443687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, z: 4, g: 1, x: 1}. What is prob of sequence gxzz?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51868987 or 51868982?\nAnswer: 51868987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - q + 8 = -2*x, -5*x + 3*q = 21. Let b(n) = n**2 - 58*n + 665. Let r be b(16). Which is smaller: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + s + 2. Let w be l(-2). Calculate the remainder when 7 is divided by 23\/w + 15\/(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*y + 2*y - 343, -3*y = -3*k + 1041. Is 21*(y\/(-35) + -3) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 3*j**2 - 5*j. Let b(c) = -c**3 - 4*c**2 - 5*c + 1. Let g(w) = -4*b(w) + 3*p(w). Let z be g(-6). Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.749 and 103657.\nAnswer: -77639.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12*d = -9*d + 15, -3*x + 29 = -10*d. Solve 0 = -4*u - 2*p + 8, -23 = -5*u + x*p + p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742161 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -8d?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41365027*z**3 + 32105034 with respect to z.\nAnswer: -124095081*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 433 (base 11) in base 8?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/12218017 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 131.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 34187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**3 - 15*g**2 - 13*g + 7. Let p be s(-4). Solve 0 = 14*u - p*u - 9, 2*b = -4*u + 22 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 569 - -40. Suppose -6*w + z - 231 = 0. Let s = -32 + w. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 - 40\/(-12). What is the remainder when 78 is divided by 1\/k - 189\/(-12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-2) - 1287\/(-198). Let f = 2.7 + -3. Let j be (2\/2 - 2)\/1. Which is the nearest to 1\/2? (a) f (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3100 + 3101. Let -2\/3*v - 1\/3*v**2 + n = 0. Calculate v.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/(q**(-1)*q)))**(4\/13)*(q*q\/((q\/(q*q\/q**(-2\/9)))\/q*q))**(1\/7) assuming q is positive.\nAnswer: q**(125\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 2*w - 3*w)*(-3*w**2 - 2*w + 2*w + 7*w**2 - 2*w + 2*w + (-w**2 + 0*w**2 - w**2)*(1 + 3 - 3) + (3*w - 2*w - 2*w)*(w + w - w)).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 * -1.5825\nAnswer: -3.95625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from qmmmmmmmmmmmmmm.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 2166?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-10)*k*((k**(9\/8)*k)\/k)\/k assuming k is positive.\nAnswer: k**(-71\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 16970*x + 142. Is 69 a factor of q(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j - 29*j + 576 = -642 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**17\/u**(-27) assuming u is positive.\nAnswer: u**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -718, -5288, -17400, -40726, -78938, -135708, -214708?\nAnswer: -319610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 38. Is (v - (-629 + 2)) + 4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63793 - -29385. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3 = 4*i + 17, x = -4*i - 4. Suppose -3*d + 1 + 5 = 0. Suppose -c + d*q + 65 = x*c, 0 = -3*c + q + 39. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 892 and 446?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -6. Suppose f = 2*k - 486 + 180. Suppose -2*p + 0*p + 5*j = -k, 5*j - 400 = -5*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 8 + 483*i - 487*i + 1.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u = -16*u - 50572 - 499068. What is the ten thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*b**3 - 2*b - 8 - 339*b**3 + 77*b**3 - 304*b**3 to the form h*b**3 + t + f*b**2 + m*b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/4 + (-99)\/42 - 0.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 262 - 128. Calculate the remainder when x is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h**2 - 169*h + 340*h - 171*h + 68*h**2.\nAnswer: 88*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*n**2 - 276*n**2 + 457*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147193.1 microseconds to milliseconds.\nAnswer: 147.1931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2*(-2)\/(-4))\/1. Let f be (l - 0)*-1*1. What is the remainder when 20 is divided by (-22)\/(1*(-1 - f))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = w - 267. Let z = w + -128. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**3 - 7*i**2 + 12*i - 13. Let k(o) = 14*o**3 - 21*o**2 + 36*o - 39. Let w(f) = 4*k(f) - 11*u(f). What is the units digit of w(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2.6. Let y = 3.7 - 4. What is the nearest to y in r, 3\/2, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-13))\/s*s**18 assuming s is positive.\nAnswer: s**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 422 - 306. Let c = r + -112. What is the nearest to 0.2 in -2, -5, c, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/105)\/((-278)\/(-695)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 4*u**2 - u - 6. Let y be c(-5). Let b = y - 20. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -921 + 921. Solve j = -5*t - i*t - 8, -5*t - 18 = -4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*c = 4*c - 12, 3*n = -3*c + 42. Suppose -66 = 5*j - n. Let k = j - -18. 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 the fourth smallest value in -0.26, 2\/13, -0.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 9*n**2 + 26*n - 13. Calculate p(11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234 - 2010?\nAnswer: -2244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (1 - 1) - (-31 + 12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, f: 1, h: 1, o: 2, e: 1}. Give prob of sequence hufo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -10*c**2 + 0*c - 5\/3*c**3 - 100. Suppose v(q) = 0. Calculate q.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133254*p - 133254*p + 153 - 3858*p**2.\nAnswer: -3858*p**2 + 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03665816432 rounded to four dps?\nAnswer: -0.0367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*j = -10*m - 165*j + 33, -3*m + 6 = j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 - 31*i + 77. Give b(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 11:20 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/12)\/(4\/9) + 0. Let t be 4 - 6\/3 - 2. Suppose -24 = -2*i - t*i. Solve -l*j + i = -0*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -15*y**2 + 18*y. Let d(l) be the second derivative of -l**5\/60 + l**4\/24 - l**2 + 7*l. Let x(q) be the first derivative of d(q). Give p(g) - 18*x(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3217.5624 + -3217. What is c rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4375*-0.114.\nAnswer: -498.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3 - 3 + 19*u - 3*u. Let q(h) be the third derivative of h**4\/24 - 38*h**2. Calculate q(y(b)).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10069920 by 10069920.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*g - 237*g - 2874 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 12:02 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**4 + 10*v**3 + 9*v**2 - 3*v. Let i(d) = -d**4 + 7*d**3 + 6*d**2 - 2*d. Let z(u) = 5*a(u) - 7*i(u). Suppose z(n) = 0. What is n?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(128) + -6*-2*sqrt(128) - sqrt(128)) + -3)*-5)**2.\nAnswer: -14400*sqrt(2) + 461025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1289, -3, 7.\nAnswer: -3, 7, 1289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8106232 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59642*g**4 + 5*g**3 + 12*g**2 + 1024589502*g wrt g?\nAnswer: -715704*g**2 + 30*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-198))\/((-2)\/26). Is 1 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 7*h + 2*k + 98 = 0, -3*k - 48 = -2*h. What is the remainder when 118 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121904 divided by 3208.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + s**2 + 1. Let m(c) = 2*c**3 - 4*c**2 + c - 3. Calculate -2*m(w) - 6*r(w).\nAnswer: 2*w**3 + 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -154 (base 7) to base 12\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1573 divide 70143216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.343*44.6\nAnswer: 15.2978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 20*x**5 - 120428*x**4 - 4673072*x**3 - 31800304*x**2 - 15612480*x + 11635200 = 0.\nAnswer: -30, -8, -1, 2\/5, 6060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4442*g + 2642*g + 913*g - 96.\nAnswer: 7997*g - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a + 14649 = 4*a. Let u = -387 - a. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxu when three letters picked without replacement from xxxuufxfxxux.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9856 not equal to 9857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32874?\nAnswer: 2, 3, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrrrrrn. Give prob of picking 2 r and 1 n.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h - 14 = 12*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3094*h + 5615*h - 909*h = -670800 for h.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320766 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*18\/(-24) - 98\/(-4). Let y = -4 + s. Suppose -4*i - 21 = -5*z + 29, 10 = z - i. What is the remainder when y is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - 28*y + 13. Determine f(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26048\/(-6148800)*5 + (-2)\/35 + (-1)\/(-9)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1338, 1324, 1310?\nAnswer: 1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29, -55, -81, -107?\n\"Answer: -26*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z - 98. Let u be i(-31). Suppose -15*d - 1496 = -u*d. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-8)\/(-80))\/((-5)\/(-10))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 127757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = -2*l + 2*c, 0 = -l - 3*c + 19. Suppose 2*a = -q - 3*q + 6, -5*a = -l*q - 1. What is the nearest to -0.1 in -5, 1\/9, q?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - n**2 + n**2 + 9*n**3.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38936 by 9734.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s - 2. Let f(w) = -7*w + 2. Let o(b) = -5*f(b) - 6*t(b). Determine o(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.913 + 0.087. What is the smallest value in t, 10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -345 - -356. Let a be (1 + -11)\/((-6)\/3). Sort z, 2, a in decreasing order.\nAnswer: z, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 - -105. Let t be (8 + (-124 - b))*10\/(-6). What is the highest common divisor of t and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1608 times 2?\nAnswer: -0.3216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -60, 5 in ascending order.\nAnswer: -60, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0966306 millennia?\nAnswer: 0.966306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333, 662, 991?\nAnswer: 1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -82, -164, -246, -328?\n\"Answer: -82*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45 + 494*y**3 - 646*y**3 - 3*y + 3*y wrt y.\nAnswer: -456*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 0)*(14 + 15 - 21)*(-5*y**2 - 2*y**2 - 22*y**2).\nAnswer: 1624*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -76 - ((-63 - -89) + -14 + -3).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {l: 1, k: 1, d: 1, n: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -o - 5*k + 1340, -2*o + 2688 = -2*k. Calculate the greatest common divisor of 79 and o.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 404.94*0.2\nAnswer: 80.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -337 + 507.5. Let x = s + -140. Let j = -70 + x. Round j to the nearest integer.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 3*r + 4*r)*(0 - 5 + 4)*(4*r**3 - 3*r**3 + r**3 + (4*r + 3*r - 5*r)*(3 + 2*r**2 - 3)).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 2*s + 0*s**2 - 1\/6*s**3 + 17\/12*s**4 + 0. List the prime factors of g(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/11 + 2*c**2\/11 + 84*c\/11 = 0. What is c?\nAnswer: -6, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - z + (0 + z + 0)*(-2 + 2 - 3))*(4 - 4 - 2 + (3 + 4 - 6)*(0 + 0 + 1) + 4 + 0 + 1 - 11 - 1 + 1).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-12)*(-6)\/(-4). Which is the second smallest value? (a) j (b) -2\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s - 39. Let y(c) = -c + 1. Let k be y(-4). Let n(o) = 2*o - 6. Calculate the remainder when n(k) is divided by l(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 693 or 684?\nAnswer: 684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2*2051\nAnswer: -4102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 751984.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66292 is divided by 65425?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -18736?\nAnswer: 18739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*(((f\/(f\/f**(-2\/7))*f)\/f)\/f)\/f*f*f)\/(f\/f**(2\/7)) assuming f is positive.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/24)\/((-2)\/8). Is 13 a factor of (15\/9)\/(h\/(-51))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**(1\/4))*z*z\/(z\/(z*z**(2\/5)\/z*z*z))*(z**(1\/4)*z)\/(z\/z**(-3\/10)))\/(z*z**(-2\/13)*z*z*z**(-1\/6))**(1\/17) assuming z is positive.\nAnswer: z**(6439\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159 and 6148?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 145. Suppose 27*h - m - 971 = 24*h, 4*m - 354 = -h. What is the remainder when h is divided by c?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -305 + 315. Solve 4*u + b - 6 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 524176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5 = 1. Let i = -3 - h. Let f be (i + -2)*(-4)\/(-3). Which is the third biggest value? (a) -1 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2, -2\/11, 70, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkcckkkckkkkkkkkk. Give prob of sequence cc.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50425\/84 - -12220\/21. Let i = -135\/14 - j. What is the common denominator of i and (8\/70)\/(4\/(-290))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, -32, -72?\n\"Answer: -40*p + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155 (base 15) to base 3.\nAnswer: -102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6417 or 6413?\nAnswer: 6413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -67*g - 3. What is i(-1)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -18*g + 76, g = 11 - 9 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 8*v - 5026. Let q be x(-75). Which is smaller: q or -36\/1049?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - 9 - 4 + 23 + (-g + g - g)*(0 - 1 + 2).\nAnswer: -3*g + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -15.42?\nAnswer: -7.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10025 - 3766. What is the thousands digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - q + 6*q - 18*q + 2*q.\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.71 + 1.9. Let i = -0.49 + z. Let g be (-215)\/(-330) + 5\/(-6). Put g, i, -0.2, -5 in decreasing order.\nAnswer: g, -0.2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 72, 265, 588, 1041, 1624?\n\"Answer: 65*a**2 - 2*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/24396984 and 65\/32.\nAnswer: 97587936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -296\/10515 smaller than -2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/26*60\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196 and 28?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 20 = 312*c - 316*c, 11 = r + 3*c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -1.2. Let x = -0.28 - 0.32. Let g = x - f. Which is the closest to 1? (a) -0.3 (b) 3\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2148, 2147, 2146, 2145?\nAnswer: 2144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 273570 + 1?\nAnswer: 273571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25453, 25462, 25471?\n\"Answer: 9*t + 25444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.8 and -3.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -16. Suppose g + 2*g - 15 = n. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 21, -1, 20638, -2 in descending order.\nAnswer: 20638, 21, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6.656832 minutes?\nAnswer: 0.0046228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 18542 = -3*p + 2*p, b = 4*p - 74153. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-14)\/(n\/((n\/(n\/n**(2\/11)))\/n*n*n))*(n**10\/n)**(-8\/3) assuming n is positive.\nAnswer: n**(-416\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.29 - -0.49. Let t be 3\/2 - (-2)\/(-8). Which is the second biggest value? (a) t (b) -0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4041, -13897, -29561, -51033, -78313?\nAnswer: -111401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-163 - -97) + 95 - (-1 - 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*o**4 - 169*o + 169*o + (5*o**2 - 3*o**2 + 0*o**2)*(o**2 - 3*o**2 + 3*o**2) - 4*o - o**4 + 4*o.\nAnswer: 21*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 6547 (c) 0.2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2454198 or -0.1?\nAnswer: -2454198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.052+11.168\nAnswer: 11.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 318 = 2*c - 2*t, -4*c + 2*t = -640. Calculate the remainder when c is divided by 35.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + v**2 + 8*v - 83. Calculate j(0).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108\/95 - -14\/19. Let t = 12.8 + -1.1. Let n = t + -13.7. What is the nearest to p in n, 1.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/121, -3, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -700, -2822, -6364, -11332, -17732?\nAnswer: -25570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 + 68. Let d = -87 + n. What are the prime factors of d?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*w + 15 = -3*s - 61*w, -5*w = -2*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15011, 30035, 45063, 60095, 75131, 90171, 105215?\n\"Answer: 2*x**2 + 15018*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22, -36, -70, -136, -246, -412?\n\"Answer: -2*y**3 + 2*y**2 - 6*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 5 - (55 - 42) - -9) + -54.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeggegeeeeeeege. Give prob of picking 4 e.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*z + 9340 = 2*w, 4*z = 5*w + 15620. What is the units digit of (-7)\/(-1)*w\/(-70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9586*a**3*h - a**3 + 2*a**2*h + 8*a**2 + 444*a*h + 2 wrt a.\nAnswer: 57516*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**3 - 342645*y**2 - 685275*y - 342635 = 0. What is y?\nAnswer: -68527, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 840.435 millimeters?\nAnswer: 84.0435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5390897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3237021 divided by 6.\nAnswer: 1079007\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + g - 21 = 0, -3*k - 5*g = -5*k - 13. Let t = k + 6. What is the third derivative of 2*h**2 - t + 2 - 2*h**4 wrt h?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 20*g - 57. Let y be 3\/(-6) + 1 + (-21)\/(-2). List the prime factors of i(y).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 4)*(0*w**4 - w**4 + 3*w**4) + (-2*w + 3*w + w)*(-58*w**3 + 26*w**3 + 28*w**3).\nAnswer: -14*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, p: 9, u: 6}. Give prob of picking 3 u.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23553.\nAnswer: 3, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 26 + 34 = 0. Let g = i - 9. Is 2\/5 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4 - 18*a**3 - 22*a**2 + 42*a.\nAnswer: -2*a*(a - 1)*(a + 3)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + (-260 - -270) + (-15 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27, -52, -91, -150, -235, -352?\n\"Answer: -z**3 - z**2 - 15*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/4)\/(2\/(-6)). Solve -j*o + 4 = 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1437 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*m - 15 = -0*k, -10 = 4*k - 2*m. Let d(l) = -251*l - 3. Let x be d(-2). Suppose 4*w + 491 - x = 0. Solve k*v = w*v + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - b + 26, -k + 2*k - b - 6 = 0. Suppose -6*u = -2*u - 44. What is the smallest common multiple of k and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 1, 4*n = -3*v - 11 - 8. Suppose 2*a - 20 = 3*q, a + 4*q = -q - 3. Suppose -a*m - 26 = 2. Is n greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -1\/9*g**3 + 1\/360*g**6 + 0 + g**2 + 0*g - 1\/72*g**4 + 1\/90*g**5. Factor l(a).\nAnswer: (a - 1)*(a + 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/(-8))\/((-3)\/24). Let f = o + -3. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**3*p**3 + 15*n**3*p**2 + 27*n**3*p + 37*n**3 - 4943114*n**2*p**3 + n**2*p + 16 wrt p?\nAnswer: 12*n**3 - 29658684*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 807.9869 decades in millennia?\nAnswer: 8.079869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 40 = s + 5, 4*s = 5*u - 107. Suppose -u*j = -22*j + 492. Let a = j - 74. What is the greatest common divisor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/23 and 73\/183.\nAnswer: 4209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a8 (base 11) in base 3?\nAnswer: -1022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1813 or -78021\/43?\nAnswer: -78021\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**4\/42 + 46*c**3\/21 - 47*c**2\/7 - 34*c + 1. Factor y(s).\nAnswer: 2*(s - 1)*(s + 47)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 15*a**2 - 133 + 57 + 33.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8515 and -9.16225021.\nAnswer: 8505.83774979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5790671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, 1, 2, 56\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x. Let b(j) be the third derivative of j**8\/10080 + 4*j**5\/15 + 16*j**2. Let n(m) be the third derivative of b(m). What is n(v(z))?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - 28) + 25 + 16 + 6\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 1:21 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10137.3 + -10137. What is the nearest to -2\/21 in s, 17, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 1564?\nAnswer: 12512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - h - 12. Let r be v(4). Let g(j) = -11*j + 35. Let u be g(3). Suppose -3 = s, r*a + u*s + 96 = 2*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.3 and 9349969831848.\nAnswer: 9349969831849.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -508, -473, -424, -367, -308, -253?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-126)\/168 - ((-11)\/(-12) + 1\/3). Put 3, h, 182, 4 in ascending order.\nAnswer: h, 3, 4, 182","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 108*y**2 + 203*y + 39. Calculate the remainder when s(-106) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 300 - 299.456. Is -1 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yky when three letters picked without replacement from yqkyyyyyky?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 9*j + 2. Give k(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-1\/8)*p*p)*p\/p**3)\/(p**3)**(-50) assuming p is positive.\nAnswer: p**(1169\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0*o**4 + o + 1\/5*o**6 + 0 + 0*o**2 + 1\/3*o**3 + 0*o**5. Find the second derivative of t(a) wrt a.\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13411.\nAnswer: 13411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-70)\/56)\/5)\/(9\/((-324)\/(-5)))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + 86. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h + 2*h**3)*((h - 5*h + 2*h)*(-h + 3*h - h) - 58 - 8*h**2 + 58).\nAnswer: -20*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 334 - -1116337?\nAnswer: 1116673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3642*w**2. Let t(m) be the first derivative of m**2\/2 - 260. What is t(d(l))?\nAnswer: -3642*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = 3. Suppose -3*x - 10 + 1 = 0. Let j = k + x. Solve 5*q + 5 = 0, 0 = v + 2*q + j*q + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-1)\/(-15)*-1). Let i = k - -29. Let p = -10 + i. Solve -2*y + 3*y = 5*d + 15, -p*d - 26 = 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 45*c**2 + 66*c + 5161. Determine f(-46).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -235631428*d**2*p**2 + d*p**2 - 92*d + 6*p**2 + 65982 wrt d.\nAnswer: -471262856*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**4)*q*q**(-2\/11)*q)**(-4)*(q**(-1\/3)\/(q**(3\/5)\/q*q))\/(q**(-1))**(-1\/28) assuming q is positive.\nAnswer: q**(35843\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p**(-8)*p)\/p))**(11\/3) assuming p is positive.\nAnswer: p**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 1)\/(6\/(-4)). Let u = 2 + -6. Which is the nearest to -0.2? (a) u (b) n (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -2 - (-6 - 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 477, 966, 1449, 1926?\nAnswer: 2397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 33*c = 624 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333 + 356 - 689 + 6*q - 5*q + 23*q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from xnlkbxblxdxnbk.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1367*p + 8155. Give m(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7720, -15437, -23132, -30793, -38408, -45965?\nAnswer: -53452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3376691*a**4 + 4570358 wrt a.\nAnswer: -13506764*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 5*u**2 + 3*u + 12. Let a be h(-8). Calculate the least common multiple of 13 + 9 + -19 + 11 and (32\/5)\/(24\/a).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/2*(-3)\/2. Let x(s) = -8*s**2 + 7*s - 1. Let z(w) = -8*w**2 + 8*w - 1. Let v(m) = -4*x(m) + 3*z(m). Is v(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/15)\/((-18)\/90)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 + -68. Calculate the highest common divisor of r and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 9:26 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2194 + 2189. Which is the closest to -1\/4? (a) j (b) -5\/3 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8178.104ng to micrograms.\nAnswer: 8.178104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*z - 108*z + 143*z + 736 = 0. Solve -p = -2*j - 24 + z, 3*j + p + 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292 and 70518.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-639704)\/10 + 1*-2. Let j = -63695 - c. Let t = -19743\/70 + j. Calculate the common denominator of t and -121\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13130042 (base 5) in base 6?\nAnswer: 2441542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 495\/39827?\nAnswer: 495\/39827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -219398, -438506, -657614?\n\"Answer: -219108*r - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -3*m**4\/4 + 13*m**3\/3 - 4*m**2 - 12*m + 28. Determine y so that z(y) = 0.\nAnswer: -2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p + 4. Let f(t) = -t - 2. Suppose 0 = -2*k - 3*k + 45. Let i(x) = 136*x + 1092. Let j be i(-8). Calculate j*o(b) + k*f(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*l + 5*l**2 + 57*l + 2 - 4*l**2 - 116*l - 28*l**4 + 3*l**2 + 2*l**3 to y*l**4 + s*l**2 + x + m*l + v*l**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 296686207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 9 + 25 = 0. Let f be ((-2)\/(-50))\/(105\/1659). Let w = f - 4\/125. What is the third smallest value in w, -13, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2 + (1 - 4 + 5)*(-3 + 2 - 1) + 2 + 1 - 2 + 2 - 3 - 1)*(3 + 6 - 3)*(-1 - x + 1).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)\/q)**(-42))**(7\/4) assuming q is positive.\nAnswer: q**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 13 = 3*n - 2*r + 2, -18*n + 19*n - 37 = -5*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, -0.03, -28, 0.5, 4, -1?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81587458?\nAnswer: 2, 41, 53, 18773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p + 32 = 8*p. Calculate the smallest common multiple of 60 and 4\/28 - ((-3425)\/35 + p).\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 2039082913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -12 + 8 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d**4 - 2*d + 0*d - 45*d**2 + 46*d**2 in the form j*d**2 + y*d**4 + w*d**3 + c*d + f and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v. Let c be o(0). Let w = 0.28 - -0.02. Let r = -1396 + 1394. What is the closest to r in c, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.04, -2\/3, 3, 1.83 in decreasing order.\nAnswer: 3, 2, 1.83, -0.04, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 k when three letters picked without replacement from kmxrkhrbrmrrhrxmrrxr?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 136835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12118765.75 rounded to the nearest one hundred thousand?\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 6*g - 12. Suppose -g*f + 49 = 13. Calculate the remainder when 35 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.4, -1, -3\/4, 13, -8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q**2 + 9*q + 9. Let n(p) = -516 + 520 + 8*p + 3*p**2 - 4*p. Let u be 10\/3*18\/15. Let k(i) = u*h(i) - 9*n(i). Let w(y) = -6*y. What is w(k(m))?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 189.24 times 0.192\nAnswer: 36.33408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x + 5 - 5 as q*x + s and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -34?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77481 is divided by 12831?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**3*u**28*(u**(-1\/11))**41)**(-17) assuming u is positive.\nAnswer: u**(-4165\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = 12*z - 150 + 282 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(sqrt(54)\/(-1*sqrt(6))))**2 - (sqrt(250)*-1)\/sqrt(5))*-4.\nAnswer: -20*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h**2. Let c(l) = -l**2. Suppose 5*f - 13 = -3*s, 3*s + 0*s + 5 = 4*f. Let j(a) = s*n(a) - 4*c(a). Let q(z) = 4*z**2. What is j(q(y))?\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -141\/3220 and -51\/298310.\nAnswer: 4176340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 3*l - 50. Let g be f(-4). Let x = g - -16. Is -6 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/24)\/(-3))\/((-4)\/(-112))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 558, 855, 1152, 1449, 1746?\n\"Answer: 297*g + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1395?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.1, -1\/47, 1, 11.\nAnswer: -0.1, -1\/47, 1, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v**3 - 3*v**2 - 90*v + 453. Determine k(4).\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z - 7*z**2 + 16*z**3 + 2*z**2 + 2 + z - 17*z**3. Let n be h(-4). Sort -0.1, n, -1 in decreasing order.\nAnswer: n, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10234 (base 5) to base 11.\nAnswer: -581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 220206 to the power of 1\/2, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 1. Determine y(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 4*x - x + 5*i = -105, -4*i = -x + 33 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {p: 3, e: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -228?\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -721, -5744, -19353, -45832, -89465?\nAnswer: -154536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5917? (a) 2\/11 (b) 16 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 125 + 20. Calculate the remainder when 59 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -844327\/3060 - -4480\/17. Let n = x + 112\/9. What is the common denominator of n and -27\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 9*d + 28. Let u(s) = 3*s**2 + 2*s**2 - s**2 - d + 9. What is the smallest common multiple of u(-2) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**8\/48 + s**4\/24 + 2*s**2 + 5. Let q(y) be the second derivative of t(y). Find the second derivative of q(f) wrt f.\nAnswer: 140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20171 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 + 0*r**4 + 2*r + r**2 + 0*r - 3*r**2 - r**4 to the form j*r**3 + o*r + s*r**4 + f + h*r**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -329, 62, -5, -9 in ascending order.\nAnswer: -329, -9, -5, 0, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 27*m**7\/70 + 245*m**4\/24 - 20*m**2 + 1. What is the second derivative of s(q) wrt q?\nAnswer: 972*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6*g = l, 0 = -l + g + 12. Let v(r) = r**3 - 2*r**2 - 4. Let n be v(3). Let d = l - n. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222 and 518.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d - 1. Let j(w) = -12*w + 81. Let k(y) = -2*i(y) + j(y). Let r be k(12). Solve -3*m + 1 + r = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249137?\nAnswer: 7, 35591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -246.\nAnswer: -1\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 1)*(-1)\/2. Let g be 103\/3 + 11\/(-33). Let s(n) = -9 + g*n - 1 - 15*n - 18*n. Give s(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 11*p**3 + p**2. Let m be v(-1). What is the units digit of ((-7)\/(-14))\/((-1)\/m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*-0.72.\nAnswer: -11.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502 = 8*r + 478 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2152 and 27169?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + -2)\/(-2) - 0. Let q(k) be the third derivative of k**6\/60 - k**5\/60 + k**4\/8 - k**3\/3 - 58*k**2. Determine q(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(85\/75 + 4\/(-30)). Let r(c) = 2*c**2 - 10*c - 8. What is the smallest common multiple of r(g) and 8?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 74\/57 + -12\/19. Let x(i) = -2*i. Let l be x(-1). Is l bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 11. Let x be p(15). Suppose 4*b - 5*z = -b, 3*z = -3*b + 30. Solve b*i = i + x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - 5*u + 5*u)*(6*u**3 - 8*u + 8*u) + (3*u**2 - 3*u**3 - 3*u**2)*(3 - 3 - 2*u) in the form g*u**4 + w*u**3 + y*u + c + d*u**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -4.506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 w, and 1 a when four letters picked without replacement from iaaiuattwta.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 21*o + 44. What is u(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 31*h - 149. Calculate j(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 4*b + 5*g = -5095, -2565 = -2*b - g. What is the greatest common factor of 40 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 11:35 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186609?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 331 + -298. Differentiate 99 - 35 - 57*k - x wrt k.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/2, -161\/2 in ascending order.\nAnswer: -161\/2, -1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 1382904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24 - 111 - 34)*(2*h + h - 2*h) to t + i*h and give i.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5.8153 micrometers?\nAnswer: 0.0000000058153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y + 104. Suppose -53*x + 62 = -y*x. List the prime factors of x.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3376318901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 >= 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -15694968?\nAnswer: -31389936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -649 + 644. Let p be (-12)\/84 + (-78)\/(-105). Put 97, s, p in increasing order.\nAnswer: s, p, 97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6\/19 - -1943\/798. Find the common denominator of 43\/4 and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32934.95735 rounded to the nearest ten?\nAnswer: -32930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a century in months?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211006, 211030, 211064, 211108?\nAnswer: 211162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((sqrt(1216) + -1*sqrt(1216))*4 - -1*sqrt(1216)*-5)*6 + ((sqrt(1216) + sqrt(1216) + 2)*-5 - (sqrt(1216) + 2)*2)))**2.\nAnswer: 37632*sqrt(19) + 8580880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22*13)\/(6\/66). Let n be -12*(-4527)\/10 - 21\/(-35). Let p = c + n. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 7 = 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 19*q + 185 = 20*q, 2*s = 5*q + 47. Suppose -8*k = -324 + 36. What is the lowest common multiple of s and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/7)\/m**(-1\/2))\/(m**(-12)*m**(1\/5)\/m) assuming m is positive.\nAnswer: m**(901\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14621891 divided by -115133.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -6002?\nAnswer: -3\/6002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5\/2 - 359300*u**4 - 2874429*u**3 - 2155844*u**2 + 28744345*u\/2 - 8982600 = 0.\nAnswer: -5, 1, 718608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883443657?\nAnswer: 3, 294481219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 71, 5, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/3)\/(2\/(-12)). Let x = v + 8. Let r be x\/(-6) + (-4)\/6. Is r > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**6*p**2 - 42*n**3*p**3 + n**2*p**3 - 4*n*p**2 - 2*p**3 wrt n.\nAnswer: -240*n**3*p**2 - 252*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -0.15775\nAnswer: -12.84225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15088455*j*s**2 + 15783*j*s + 332*s - 2 wrt s.\nAnswer: -30176910*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -426*(2 - (20 - 1))?\nAnswer: 2, 3, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoaoohooooaooooo. Give prob of picking 1 a and 1 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 79777275 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 39*m + 34*m = 0, -4*w - 5*m = 45 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1461 or -1?\nAnswer: 1461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**4\/24 - 41*g**3\/2 - 2*g**2 + 144*g. Let z(i) = 3*i**2. What is z(j(d))?\nAnswer: 3*d**2 + 738*d + 45387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 124, -7, -256, -659, -1252, -2071, -3152?\nAnswer: -4531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*b + 28. Suppose 189 = -5*x + b*x. Find the third derivative of -79 - 14*p**3 - x*p**2 + 79 wrt p.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-728)\/(-42))*(-3)\/2 - 7?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 0*f**5 + 0*f + 10*f**2 + 0*f**6 + 0*f**4 + 3\/2*f**3 + 0 - 1\/42*f**7. What is the first derivative of y(s) wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6 = 0, -2*i - 11 = s - 2*s. Suppose -s*z + 36 = -229. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2309.\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c - 7. Let r be k(5). Suppose 2*v - 2 = r. Find z such that 6*z**4 + z**3 - z**5 + 5*z**5 + 5*z**v = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 346516 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/12)\/(10\/12*(-196)\/35)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 21 - 23. What is the tens digit of (-1)\/(-2)*0 + (u - -148)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11910418 - 877882. Let p = 5632536 - a. Round p to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -995, -1990, -2985, -3980?\n\"Answer: -995*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijjiiiii. What is prob of picking 2 i and 2 j?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 15. Let v(r) = -8. Let t = -210 + 212. Determine t*c(x) - 5*v(x).\nAnswer: 2*x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/30)\/((836\/22)\/4674))\/(4\/2)?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11 - -5.11. Let w = -4.6 - -5. Put g, 0, w in increasing order.\nAnswer: 0, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380192 is divided by 1521.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*(v\/v**(-2\/19))\/v*v)*v*v*v**(-9)*v)\/(v**(-3\/4)*(v*v**11)\/v))**(-19) assuming v is positive.\nAnswer: v**(1319\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 611\/6, 0, 0.4?\nAnswer: 611\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 12428735?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 38*m + 11. Is r(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1645440 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1265 = 6*w - 1735. Is w a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1732 (base 12) to base 11.\nAnswer: -20a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1830894, 1830897, 1830900?\n\"Answer: 3*u + 1830891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, p: 7}. What is prob of sequence ap?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-11))\/(-2) + (-222)\/(-11). Solve -5 - 5 = 2*c - 4*z, 5*z + n = -4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522574 is divided by 261285.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 6:39 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from wcyyccwwww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/2)\/x)**36*x\/(x**(1\/2)*x)*x**(-2\/3) assuming x is positive.\nAnswer: x**(101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 12*k**2 - 7*k - 8. Suppose -2*u + 5 = -7. Let l be d(u). Let h = 345 + l. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -1\/3 (c) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*j - 899 = 0, 3*j = 2*w - 0*w - 451. Is w a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1\/8, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**4 - 2*d**4 - 5*d**4)*(15 + d - 2*d - d).\nAnswer: 22*d**5 - 165*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64721*n - 1071*n**3 + 129439*n - 64718*n.\nAnswer: -1071*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.021 * 62\nAnswer: 1.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1402*x**2 + 2*x. Let q(o) = o**2. Calculate f(q(c)).\nAnswer: -1402*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 279303480 a multiple of 1143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -51*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1056*o**3 + 5*o**2 + 160*o - 844. Is w(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -436 (base 7) to base 6.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 6, 17*l + 7 = 13*l - a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-21)*(-427)\/(-244).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2 + 2208718*b = 0. What is b?\nAnswer: -1104359, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.4 - -4. Let z = -8.85 + -0.15. Let m = 8.9 + z. What is the closest to m in 2\/11, j, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 995860.376 rounded to the nearest one thousand?\nAnswer: 996000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 81544744, 81544745, 81544746?\n\"Answer: h + 81544743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -28, -40, -56, -76, -100, -128?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 2*m - 5*h = -16, 2*m - h = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)*o**8*(o*o**(-6))\/o**(1\/9))**(-9\/7) assuming o is positive.\nAnswer: o**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 4*w**5\/15 - 5*w**4\/12 + 13*w**3\/3 + 3*w**2 + 6*w. Let l(z) = 3*z**2 - 2*z + 5. Determine -11*l(n) + 2*r(n).\nAnswer: -n**2 + 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4896\/8273?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 408 + -347. Suppose r*s = 63*s - 26314. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.002 - -3.902. Let v = 0.1 + i. Let y = v + -3.9. Is y not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 257 + 2149. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897*o + 10060 = -355*o + 246*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**4 - u**2 - 7*u**2 - 7*u**2 wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 1458 + 1601 = 0. Is u a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - sqrt(162)*-1*3)\/sqrt(6))\/(sqrt(63)\/(sqrt(567) + -2*sqrt(567))).\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530 = 5*v - p, 3*v - 3*p - 136 = 182. List the prime factors of v.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 0*c + 5\/3*c**3 + 1 + 0*c**2. Let d(l) = 2*l + 0*l - l. Determine o(d(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - o - 10, 22 = -3*b - 0*b - 5*o. Let g = b + 10. Let j(m) = 2 + 4 - m - g. Let d(t) = -7*t. Determine j(d(i)).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 5*a**2 - 12*a - 18. Let w(d) = -d**2 + 8*d - 20. Let i be w(6). What are the prime factors of u(i)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 492.518 - 492. Round j to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven halves of a century?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2.6 (b) 1\/5 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -3*c + 31, 4*x = -98*c + 93*c - 47 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431547003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s - 25. Let f(m) = -m**3 + 5*m**2 + 2*m - 2. Give f(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -72*b - 273. Is 10 a factor of d(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -20?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j - 27*j - 394 + 154 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4) + 0\/(11 + -1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/18)\/(6\/(-9)). Let n = 60 - 55.98. Let y = -0.02 + n. Which is the closest to q? (a) -4 (b) y (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 3\/8, 2, 3\/16 in decreasing order.\nAnswer: 85, 2, 3\/8, 3\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j + 37. Let x be b(-6). Let f be 0\/(x - (-28)\/7). Suppose -5*u + l = -61, u + 4*l + l - 7 = 0. Solve -3*m = -f*m + u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 0*b + 108. Let q(x) = -8*x**3 + x**2 + 2*x + 2. Let i be 55\/(-45) + (-6)\/(-27). Let r be q(i). What is the highest common divisor of b and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h. Suppose h*a - 4*a = 8. Is 4\/a + (-82)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 253 - 111. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a79 (base 14) to base 16\nAnswer: 12cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -562233.32 to the nearest 10000.\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62340, -67972, -73604, -79236, -84868?\nAnswer: -90500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 621259485 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 341159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 39945 and 39953 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2583 + 3558. Calculate the greatest common divisor of i and 300.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:57 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -155.5 - -156. Let m = 0.05 + -0.17. What is the smallest value in i, m, 2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/1140 and 79\/6384?\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*v - 89. Calculate the remainder when (138\/2 - 5) + -33 + 36 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 15, 1\/2, -7, 0.1, 34\/11?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10563 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16915 by -66.\nAnswer: -16915\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94727090 and 66308963?\nAnswer: 663089630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/9, 4.3, 0.4, 3 in decreasing order.\nAnswer: 4.3, 3, 0.4, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 63\/(1\/((-28)\/6)). Let r = -291 - a. Solve -r*c = -10*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 + 185 = -5*n. Solve n*r - 5*f = -30, -3 - 6 = r - 2*f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 7*b - 7. Let u be o(5). Suppose 0*s - 3*d = -3*s + u, -3*s = -4*d - 153. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5 - 15 = -4*h, 5 = -5*j + h. Let u be (-1 - (-2 + j))\/1. Let i = -15075 - -195973\/13. Is i smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(4\/5)*b**(2\/7))\/(b\/b**(1\/2))**(-6\/7) assuming b is positive.\nAnswer: b**(32\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*m - 775 + 313 = -65*m - 52*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20101222 (base 3) to base 9\nAnswer: 6358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyvxxvyvxvxvyv. What is prob of picking 2 v?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 139?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/20)\/((-2)\/180). Let a = 38 - g. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2466 (base 7) to base 6.\nAnswer: -4150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6 = 0, -5*p + 0*f = f - 3. Suppose p = 11*r - 7*r - 44. Calculate the remainder when r is divided by 4\/(-10) + 34\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c**2 - 17*c - 17. Let q(j) be the first derivative of -j**3\/3 - 3*j**2\/2 - 3*j + 1. Let o = 66 + -60. Give o*g(i) - 34*q(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22570 is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5920 and 1480?\nAnswer: 5920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eute when four letters picked without replacement from {u: 1, p: 5, t: 1, e: 4}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144*s**2 - 187*s**2 + 56*s**2)*(0*s**3 + s**3 + 11*s**3).\nAnswer: -3300*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12022*u + 12007*u - 36018*u + 12013*u + 8.\nAnswer: 24*u + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 62*u - 215. What is s(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0025, -24\/91, -4\/5.\nAnswer: -4\/5, -24\/91, -0.0025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*d**3*k**3 + 1581*d**3 + 60*d**2*k**4 wrt k?\nAnswer: -12*d**3*k**2 + 240*d**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**5\/30 - i**2\/2 + 3. Let z(b) be the second derivative of u(b). Let s(w) = -w**2. Calculate z(s(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9.63? (a) -5 (b) 4 (c) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(4 + sqrt(605)*2))**2*3 + -2 + 1)*-3.\nAnswer: -197313 - 14256*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 1 - (35 - 0). Suppose 9*c - 117 = -927. Let j = l - c. Calculate the remainder when j is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.7825l in millilitres?\nAnswer: 66782.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3 - 13. Let j be u + (-7)\/(35\/15). Let r(p) = 4*p + 2. Let l = -2 - 1. Let a(c) = c + 1. Calculate j*r(f) + l*a(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-8 + 18) - 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 9:55 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*c + 150. Calculate the remainder when 611 is divided by c.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -217 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/130 - (-22)\/(-143).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 363*y + 1826. Determine c(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3*z + 5 = -2*u + 19, 0 = -4*u + z + 131 - 122 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1653 - 23*n**3 - 512*n + 1653 + 512*n.\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-2) - (-5 - (5 + -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*m = -m + 4, -m - 2 = w. Solve 0 = -k - w*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123133934.7us in weeks?\nAnswer: 0.00020359446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6 + 4.4. Let w = 8 - 5. Let i = w - q. Which is the nearest to -1? (a) 1 (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4124274?\nAnswer: 2, 3, 7, 11, 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 1:13 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -802?\nAnswer: -80.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6*50099\/(-5052)*(-1 - 1)\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:51 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/17)*k\/(k*k*k**(4\/7)*k))\/(k**(3\/4))**(-20\/3) assuming k is positive.\nAnswer: k**(303\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0. Let d = 10.62 - -0.38. Sort d, 5, o in descending order.\nAnswer: d, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*d - 135 = -133, -5*d - 7 = -x. What is the smallest value in 4, -2\/9, -5\/2, x, -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001311 to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75721 is divided by 721?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44947 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 46*z = -48*z - 452, 5*r = -4*z + 746. Calculate the least common multiple of 75 and r.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n + 18*n - 33 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -242121?\nAnswer: -242121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 15*c = 36*c. Let v(x) be the second derivative of -7\/3*x**3 + 0*x**2 - 10*x + c*x**4 - 1\/10*x**5 + 0. What is the second derivative of v(t) wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n + 2*n - n)*(n + 4*n - 16*n) as c*n + l + t*n**2 and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101475 and 25215.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 - -446\/7. Suppose 0 = 5*n - 2*z + 375, -2*z - 2*z = -3*n - 211. Let k be n\/28 - (-6)\/8. Sort k, 0, i.\nAnswer: k, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 9.09 (b) -5 (c) 1 (d) -21 (e) -1\/18 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0*i**3 - 49*i**2 + 2 + 19\/132*i**4 - 1\/330*i**5 + 0*i. Factor p(d).\nAnswer: -2*d*(d - 19)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11015356563 + 1?\nAnswer: 11015356564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34)\/(-85)*15\/1116*6. Which is the biggest value? (a) 3 (b) 200 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316379113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 6:11 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 - -2) + -5 - 5) + (-11 - (-73 + -19)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 493 + -468.3. Let v = -25 + g. Let t = 0.32 - 0.02. Which is the nearest to 4? (a) 0.4 (b) t (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29623, 29609, 29585, 29551, 29507, 29453?\nAnswer: 29389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1193*q = 1232*q + 507 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, -21, -56, -125, -240, -413?\n\"Answer: -2*g**3 + g**2 - 2*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 27 times 13\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/6)\/(3\/(-18)). Is (-325)\/(-45) + s\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**7\/105 - s**4\/6 + 3*s**3\/2 - 6*s. Let c(u) be the second derivative of z(u). Find the first derivative of c(p) wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.52 and 27207868?\nAnswer: -14148091.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 587461 and 5679.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 9:24 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 17*i - 6. Let w be v(-17). Calculate the remainder when 64 is divided by 92\/(-16)*24\/w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2)*s)**(-15)*(s\/(s**(2\/7)\/s))**32 assuming s is positive.\nAnswer: s**(453\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**3 - 31662*y**2 - 3*y + 31662 = 0.\nAnswer: -1, 1, 10554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-1) - 2\/2. Suppose v*j + 57 = -15. Let m = -7 - j. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38.7 - 6.2. Let i = f - 27. Round i to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 3:49 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 101 - 53. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 33923*m - 3019141. Calculate g(89).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323097817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -23*l**2 + 6*l. Let s(k) be the first derivative of 11*k**2\/2 - 2180. Determine s(h(m)).\nAnswer: -253*m**2 + 66*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = b - 3*y, -174*b - 3*y + 94 = -164*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 54037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 0.6, 1\/8, -13, -2363?\nAnswer: -2363","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/48)\/((-24)\/96)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -22*l + 351. Let f be p(16). Let x(g) = -3*g**3 - 4*g**2 + 3*g - 4. Let z(y) = y**2 - y + 1. Give f*x(c) - 4*z(c).\nAnswer: 3*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/51018 and -11\/10822?\nAnswer: 357126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 884*p + 890*p + 888*p - 2663*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 7*f**2 - 12*f - 17. Does 17 divide h(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 705.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*r - 6 = 0, -2*k + 2*r + 23 - 29 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 5*g - 1. Let w be h(6). Suppose 9 = w*r + 4*i, 5*r = -0*r - 5*i + 10. What is the nearest to -1 in r, -0.3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.2 + 11. Let g = 9 + j. What is the third smallest value in -0.4, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - q + 7, 3*k + 0 = -2*q + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 323 (base 9) to base 13\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0*t)**(15\/7)\/((t\/(t*t*(t\/(t**4*t)*t)\/t*t))\/t*t*t\/(t*(t**(1\/4)\/t)\/t)*t) assuming t is positive.\nAnswer: t**(-73\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**2 + o**2 - o**2)*(2*o**2 - 10*o**2 - 5*o**2 - 16*o**2 + 54*o**2) as z*o**2 + v*o**3 + m*o**4 + y + n*o and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/63 and 47\/70?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22\/51 + 2287\/255. Is 10 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1328 divided by 5.\nAnswer: 1328\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 18*f - 651. Give r(36).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q. Suppose -3*f + 30 = 2*f. Let w be 2\/(-12) - (-7)\/f. Sort w, 10, q in decreasing order.\nAnswer: 10, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 4*m - 5*s, 0 = m + 6*s - s - 51. Let j(u) = 4*u**2 - 63*u + 147. Is j(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -2, 14, 26, 34?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*i = -122 + 212, 5*i - 360 = -5*c. What is the highest common divisor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -398, -409, -420?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2833552 divided by 1636.\nAnswer: -1732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/53)\/(z\/(z*z**(-19\/5))*z)*z**(-26)*z*z*z*z**(-4\/15))**18 assuming z is positive.\nAnswer: z**(-133698\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 65*v**2 - 115*v - 729. What is h(63)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*k - 12, -40*k + 4*z + 16 = -43*k. Solve -j = 4*y + 24, -2*j + 3*y + 7 = -k*y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*x + 25 = 43*x. Does 25 divide x\/(10\/(-56)) - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -597969*g**4 + 552440*g wrt g.\nAnswer: -7175628*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*x - 2*r, 4*x = 8*r - 9*r + 28. Solve x*k = 1 + 34 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12806*x - 49*x**2 - 12806*x to i + b*x**2 + c*x and give b.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13396040 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -86 + -4?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 2*g + 2. Let x(c) = -3*c**2 + 50*c - 49. Let i(r) = 2*x(r) + 4*y(r). Factor i(j).\nAnswer: -2*(j - 45)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 674712*f - 3*f**2 + 3*f**2 - f**2 - 674712*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 6:42 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 754 and 29497.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238 - 239 + 2*v**2 + 477.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -64, -96, -128, -160, -192?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 - c**5 + 5*c**5 + (2*c + 0*c - 3*c)*(-6*c**4 + 0*c**4 + c**4).\nAnswer: 7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/5? (a) -3 (b) -6465 (c) -0.3 (d) 0.5 (e) 34\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**3 - c**2 - 24*c - 1. Let n be w(0). What is the smallest value in -282, n, 5?\nAnswer: -282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j + 3*s + 13, 5*s + 3 = 2*j. Suppose j = -5*u + 19. Find the third derivative of 4*c**6 - 7*c**u + 2*c**6 + 7*c**3 + 2*c**2 wrt c.\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104 - -24?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 - -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6*x + 132 = 0. Let a be (-2)\/11 - (-96)\/x. List the prime factors of (-78)\/(-21) + a\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4\/11 (b) -2\/9 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -9*h - 6*h. Which is the biggest value? (a) -7 (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/72)\/((-45)\/(-39)*(-4043)\/1866)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 17. Let m be y(-7). Let v be (-5)\/(-35) - 26\/(-14). Put -2, -5, m, v in decreasing order.\nAnswer: m, v, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 18*v**2 + 86*v - 21. Let s be f(9). Which is bigger: s or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 74 = -d. Calculate the remainder when d is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, z: 2, r: 1, t: 1, w: 2}. Give prob of picking 1 r, 1 w, and 2 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001775761964 to 7 decimal places.\nAnswer: -0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiijjjjjjiijijjjij. What is prob of picking 3 j and 1 i?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 106713906 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - -515?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6369932.\nAnswer: 2, 103, 15461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.281.\nAnswer: 0.843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -68*((-21)\/(-7))\/(-12)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0251276402 to six dps.\nAnswer: 0.025128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 361136201 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(2) - (-3 + sqrt(10)\/sqrt(5))) - (2 + sqrt(98)))**2 - (1 + -3 + 3*sqrt(162) + sqrt(162))**2.\nAnswer: -2523 + 132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 1326?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*n - 16 = 0. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -447 at least -113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1283, -1263, -1243, -1223?\nAnswer: -1203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from zrt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.668 - 28.332. What is the third smallest value in i, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1. Let b(x) = -17*x + 6. Determine b(d) + 4*v(d).\nAnswer: -17*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11780 is divided by 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**6\/360 - l**4\/24 - l**3\/3 + 7*l**2. Let n(f) be the first derivative of z(f). What is n(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2368 is divided by 260?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l + 1. Let i be o(-2). What is the units digit of 2*1*i\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 63*v**2 - 137*v**2 + 66*v**2. Let i(x) = -1 + 4 - 3 + x. Calculate i(l(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8460\/17 - 583162\/1173. Is a greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 783335031?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(4*sqrt(80)*3*2 + 2).\nAnswer: -960*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 14*h**2 - 18*h - 14. Suppose 2*v + 8 = 96. Suppose -i + v - 57 = 0. Calculate the remainder when k(i) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32101 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*i - 44 = -38*i + 5*y, 5*i - 2 = -y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -3031\nAnswer: -2424.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2681*l**2. Let o(f) = 39*f**2 - 115*f**2 + 31*f**2 + 44*f**2. Give d(o(y)).\nAnswer: 2681*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*k - 2*p = 20, -16 = 4*p. Let b be -11 + (4 - (-3 + k)). Let a = -11 + 4. Are b and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/189 and 155\/756.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 6*h**2 - 16*h + 1. Let q = 8 - 20. Is m(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -41441032123?\nAnswer: 41441032123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**3 - 11*p**2 + 15*p. Let c(d) = 3*d**3 + 6*d**2 - 8*d. Let j = 49 - 54. Let u be (-1)\/((-2)\/15)*(-4)\/j. Calculate u*w(g) + 11*c(g).\nAnswer: 3*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + sqrt(720) + (sqrt(720) + 1*sqrt(720) + sqrt(720))*-2)\/(sqrt(48)*2))\/(1*(-2*sqrt(60)*-6 + sqrt(60))\/sqrt(5)).\nAnswer: -sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 94674 to the power of 1\/2, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d - 7*t + 161 = 0, 6442*d + 3*t = 6445*d - 9 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**5\/12 + 925*i**4\/12 + 171125*i**3\/6 + 91*i**2 + 14*i. Factor v(a).\nAnswer: 5*(a + 185)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 46*h - 500. Suppose 170 = -13*c - 233. Let k be q(c). Let m(v) = 10*v + 4. Let j be m(-4). Which is smaller: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 10 - -3 - -6) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*q + 45*q - 452*q**2 - 496*q**2 as d*q**2 + r + n*q and give d.\nAnswer: -948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*z - 321 + 451 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 119?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-1 - 2*f**4 + 1) - f**4 - 3*f**4 + 5*f**4.\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 228400?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 23*l**2 - 21*l + 25. Suppose 17*c = -113*c - 2860. Calculate g(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, -46, -16, 1, 3 in ascending order.\nAnswer: -46, -16, 0, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 (base 8) in base 5?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*b + 4*v - 1, 3*v - 5 = 5*b. Let l be 1 + 5 - (-3 - b). Solve -s - s = -l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 - 337*x + 3075. What is f(9)?\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 5:46 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/143*-1)\/(45\/(-10))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-56) - (-27)\/(-168).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -274*i**2 - 352*i**2 + 1685*i**2 to the form t*i**2 + z + u*i and give t.\nAnswer: 1059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w = -20 - 84 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 + v**2 - 1 + v**4 + 2*v**4 - 3*v + v**4 + 2*v - 2*v**4 to the form t*v**3 + a*v**2 + q*v + i + c*v**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1512 and 847368?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -5*u**6\/6 + 13*u**5 - 275*u**4\/4 + 355*u**3\/3 + 100*u**2 - 500*u + 167. Solve g(p) = 0 for p.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170028.302 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10496 and 7216?\nAnswer: 115456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 7*g**2 - 4*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 174*r**2 - 15*r. Let z(f) = -25*f**2 + 2*f. Suppose -3*o + 48 = -2*m, -2*o = 17*m - 15*m + 18. Calculate m*z(l) - 2*i(l).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibiiiiibibibx. What is prob of sequence iibx?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2. Let p(x) be the third derivative of -x**6\/120 + x**4\/12 - 2*x**2. Let j(l) be the second derivative of p(l). Calculate s(j(w)).\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/14*(-368)\/24. Let s = l - -216\/35. Let d = 0.2 + 0. Which is greater: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -309 by 103.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 12*b**2 + 8*b - 21. Let m(a) = a**3 - 10*a**2 - 5*a + 108. Let s be m(4). Let n(q) = 4*q**2 + 3*q - 7. Calculate s*n(d) + 3*z(d).\nAnswer: 4*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.0973587 * 5\nAnswer: 0.4867935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 11. Let j be (1 + 22\/8)*4. Let l be v(j). Find s such that -4*s**2 + 3*s**3 - 32*s**4 + 20*s**l + 4*s**5 + 9*s**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gnjrz. Give prob of sequence rngz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2011 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q = -q + 32 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 28*s**2 - 32*s - 80. Is v(-27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 119\/2. Let r be ((-9)\/(-9))\/((-7)\/(-2)). Put v, r, 5 in descending order.\nAnswer: 5, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 24 - 21*i - 9 to the form o*i + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 25. Suppose g*x - m + 6*m = 182, -3*m + 186 = 4*x. Let s be 2\/6 + 224\/x. Solve -4*u + 5 = s*o - 0*u, -4*o + 3*u + 4 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 16*f**2 + 35*f + 22. Let w be p(18). Suppose -20*b + 22*b = w. What is the derivative of 2*y - 34 - 4*y - b*y - 15*y wrt y?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -419 and -205.\nAnswer: 85895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -321, -338, -369, -414?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**8\/3360 + v**7\/315 - v**6\/90 + 13*v**4\/12 - v. Let f(s) be the third derivative of y(s). Determine t so that f(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 720, 722, 724, 726, 728, 730?\n\"Answer: 2*v + 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d = 0, 2*d = r - 16. Suppose -r = -5*v + 124. What is the least common multiple of v and 1?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 221 and 2716.\nAnswer: 600236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a micrometer in nanometers?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 84810387941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 644 and 4.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/4*(0 - 2). Let k = -8 + z. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1356768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(1452)*4)\/(-2*(sqrt(324) + -2*sqrt(324)*3)).\nAnswer: 22*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2463292 and 8268.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -80*r - 926. Determine t(-8).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, g: 7, i: 2}. What is prob of sequence eeei?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**3\/5 + 892*j**2 + 636881*j\/5 + 2189124 = 0.\nAnswer: -119, -20, 4599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/2 (b) 2\/91 (c) 0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3268782 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z + 238252 - 1358872 = 271643. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 476 and 1751.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -93.6 - -0.17\nAnswer: -93.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00043182512 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1614 and 7234.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 174 - 177. Is 18 a factor of 7 - -186 - (b - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5880048 (base 9) to base 10\nAnswer: -3182129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 704571?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*q + 14*q - 3*q**2)*(-2 + 96*q + 84*q - 478*q).\nAnswer: 894*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.11432 micrometers in millimeters?\nAnswer: 0.05211432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -15e402?\nAnswer: -15e3ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 (base 16) in base 3?\nAnswer: -11221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**5 + 70*z**4\/3 + 115*z**3\/3 + 80*z**2\/3 + 20*z\/3 = 0.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -3 - (-1 - 2). Let g be (-8 - 4)\/(-4) + o. Suppose g*n - 3*n + 3*a - 341 = 0, 20 = -4*a. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22.24932454 and 1.8?\nAnswer: 24.04932454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -39 (b) -3\/4 (c) 0 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35\/132 + -1\/12. Which is bigger: o or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 3. Suppose 61 - 6 = 3*p - 2*r, 3*p - r = 53. What is the remainder when p is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**4\/12 - 5*n. Let a(x) = -x**2 - 1. Let f(z) = -z**2 - 2. Let p(k) = -2*a(k) + f(k). Give q(p(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -58843 (base 9) in base 11?\nAnswer: -275aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176205 divided by 691.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18063\/4, 4, 4.5, 15, -0.1 in decreasing order.\nAnswer: 15, 4.5, 4, -0.1, -18063\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2410\/964*51\/(-15)*12?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, i: 8, f: 1, x: 2, v: 1}. What is prob of picking 2 x and 1 m?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2*y = 5, -2*q + 2 = -y - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -190832 + -29.\nAnswer: -190861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*h**2*o - h**2 + 4*h*o - 4*o + 153 wrt h?\nAnswer: -68*h*o - 2*h + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/133)\/(2925\/(-165) + 18).\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i - 4*i)*(-2*i + 7*i - 2*i)*(i - 2*i**2 - i) + 1931 - 1931 - 31*i**4.\nAnswer: -13*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/(j*j**3)*j)\/j)*j*j*j*j)\/j**(-6\/11)*(j*j*j\/j**(2\/3)*j*j)**(8\/9))\/((j\/j**(-1)*j*j)**(-17)*(j\/j**(-2\/3)*j)**19) assuming j is positive.\nAnswer: j**(8830\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/420*5)\/((-2)\/(-20)*2).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 817 + -815. Let y be (-2)\/2 + (-10)\/(-8). Factor 0*p**3 - 1\/4*p**4 + 1\/2*p**j - y + 0*p.\nAnswer: -(p - 1)**2*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -462, -1040, -1850, -2892, -4166, -5672?\nAnswer: -7410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452358 is divided by 447?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**4\/2 - 2*a**3\/3 + a**2 + a - 160. Let s(z) = z + 3. Let w be s(-5). Determine o(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72008493?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 20*o + 162. Let y be c(-8). Solve y*i - 6*i + 20 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 606084.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6)*(-1)\/(-6))\/(-1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95762*l**2 - 55381 with respect to l.\nAnswer: 191524*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 40 = -180. Let y be 1\/(-3)*(2 + m)\/2. Solve y*s = 3*q + 4*s + 8, s = -5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 30. Suppose 7648 = 4*j + 3*l, v*l + 3802 = -4*j + 6*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*m**4 - 11*m**2 + 11*m**2)*(-4 + 4 + 1) + (-5*m**3 + 2*m**3 + 0*m**3)*(-2*m + 2*m - 2*m).\nAnswer: 17*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5\/9 - 5066*d**4\/9 - 10166*d**3\/9 + 65930*d**2\/9 - 16900*d\/3 = 0?\nAnswer: -5, 0, 1, 2, 2535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**2*u**3 - 13*k**2*u**2 + 2*k**2*u - 2*k*m*u**2 + 3*m*u**3 + 24089*m*u**2 + 8348364*u**3 wrt u?\nAnswer: 6*k**2 + 18*m + 50090184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7168db (base 14) in base 4?\nAnswer: -32210331201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -55*m + 27*m + 2*m**2 - 3*m**2 + 24*m. Suppose -a - 6 = -3, 2*a + 10 = i. Let j = -8 + i. What is g(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1003 - -908.2. Let o = -95 - f. Which is the nearest to 1\/2? (a) o (b) 0.2 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -59*u + 27. Let y(z) = 118*z - 54. Let g(c) = -7*x(c) - 3*y(c). Suppose 15*q = 5*q - 134*q + 720. What is the tens digit of g(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 164 - 161.97. Let y = t - 8.03. Let j = -1 - 0. What is the nearest to j in 5\/3, y, -4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18769 and 1103?\nAnswer: 20702207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (34 - 10) + (2 - -58) + (5 - 2)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2. Let o = 2 + 6. Calculate the smallest common multiple of o and 2 - (a + -2 + -16).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 401 + -403. Let u be 132800\/(3 + v)*500. Round u to the nearest one million.\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7177 is divided by 97.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 16830 to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 8:53 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8 + (-42)\/(-8). Let z = 38\/5 - 36\/5. Which is the biggest value? (a) -0.5 (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2180 * -0.17\nAnswer: -370.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1053445 (base 6) to base 13\nAnswer: 1b737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0122988198 to 6 dps.\nAnswer: 0.012299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) + (-206)\/(-6). Let x = 35 - f. Let r(j) = -3*j. Give r(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 238 + -216. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -361*p + 508. What is j(2)?\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-962)\/296 + 40\/12*6\/5. What is the fourth smallest value in -1\/3, n, -2, -965, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 - 152 - (5 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tntioi. Give prob of sequence nto.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 42.96. Let q = -0.04 + b. Let l(a) = 2*a - 1. Let y be l(-2). Sort 3, y, q in increasing order.\nAnswer: y, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 50 = -2*v, -6909*i + 6914*i - 3*v = 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 224503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7005595 divided by -5.\nAnswer: 1401119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**2 + 4. Let r(t) = -5*t**2 - 3. What is 3*h(v) + 4*r(v)?\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**7\/350 - l**6\/200 - 9*l**5\/200 - l**4\/20 - l**3\/2 + 2*l**2. Let g(f) be the first derivative of h(f). Factor g(z).\nAnswer: 3*(z - 2)*(z + 1)*(4*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/(-5) - 9\/45. Sort -3, o, 5 in descending order.\nAnswer: 5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*v = 270*v + 11. Suppose -2*x + 3 + 3 = 0. Suppose 3*w + 1 = -5*s - v, 16 = 2*s - x*w. Solve -3*b - s - 7 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 + 4*s**2 - 7*s + 4. Let p be f(1). Solve 0 + p = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*g - 2 + 4 - 5.\nAnswer: 46*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131434 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 17\/(-14) - 99\/(-198). Which is the third smallest value? (a) 0 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = 18*s - 15. Suppose 37 = 3*j - 0*m - 4*m, -s*m - 20 = 0. Solve -4*c + j + 5 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*s - 213 = -524 + 2887. Solve 0 = -s*v + 85 - 169 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1\/2 + 470\/20.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -5*z - 4. Suppose 2*v + v + 3*t = 0, 4*v + 2*t - z = 0. What is n in 2\/3*n**3 + 0 - 2\/3*n - 2*n**v + 2*n**4 = 0?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = m + 135. Suppose -3*v = -2*v - 3, 5*v = -3*w + m. Solve -p + 2*p + w = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, -4, -2, 6, 20, 40, 66?\n\"Answer: 3*w**2 - 13*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4329?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3 - 8\/(-12). Suppose 5*a + 2*k - 10 = l, 4*a - 5*k - 26 = -3*k. What is the second derivative of -488*d**a + 480*d**4 - 2*d**3 - d + 2*d**3 wrt d?\nAnswer: -96*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -28 (b) 1 (c) 0.04 (d) 2.92 (e) 3\/26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4966?\nAnswer: 2, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 6:34 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0 + 0*h**4 + h**2 + 0*h**3 - 1\/60*h**5 - 1\/60*h**6 + 0*h + 1\/70*h**7. Factor n(z).\nAnswer: z**2*(z - 1)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.69 - 29.9. Let d = s - -0.81. What is the nearest to 2\/7 in d, -5\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108 - -128. Solve m + p = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/4)\/(8\/48*-3). What is l in -5*l**p - 13\/3*l**4 - 1\/3*l - 4\/3*l**5 + 0 - 7\/3*l**2 = 0?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 9*t + 3 + 7*t + 4*t + 6 - 6 + (7 + 14 + 5)*(3*t + 0*t - t).\nAnswer: 54*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -20. Let c be (-1 + 2\/(-4))\/(36\/(-72)). Let o be c*u\/(-24) + (-9)\/6. Sort o, 4, -5 in descending order.\nAnswer: 4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**3*k**2 + 12*h**2*k**3 - 4*h**2 - 232*k**3 wrt h.\nAnswer: 3*h**2*k**2 + 24*h*k**3 - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145 + 5. Suppose -34 - 61 = -3*c + 2*i, 2*i - h = -4*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**4*j)\/j*j**(1\/11))**(-8\/13) assuming j is positive.\nAnswer: j**(-536\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-10)\/g**11*g**(-6\/5)*g\/(g*g*g\/(g**(2\/9)*g)*g) assuming g is positive.\nAnswer: g**(-1079\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 310619838?\nAnswer: 310619838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 597686 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*h - 8. Let m be h\/7 + 81\/63. Let q(j) = j**3 - 13*j**2 - 15*j + 16. Let z be q(14). Solve n - z = -m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.03 = -3709.08893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k - 2. Let r be w(2). Suppose 0*z = z + r*v - 132, -5*v + 516 = 4*z. Suppose -4*t + z - 32 = 0. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 0 = -6*z. Suppose w - 7 = -n - 1, -n + 10 = 2*w. Solve w*u = z + 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**3 - 3*p**2 + p - 6. List the prime factors of o(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 10*i - 12 = 0. Suppose 27848 = 2*o - i*f, -o + 0*f + 13922 = -2*f. Suppose -9*l - l + o = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 757 - 1727. Let k = 13751 - 9962. Let g = d + k. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 8*i**2 - 44*i - 48.\nAnswer: (i - 12)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116 is divided by 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 + 101 = 6*q. Calculate the highest common divisor of q and 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)*j\/(j**(-6)\/j)*j*j**(3\/11)\/j**(5\/7))**(-26) assuming j is positive.\nAnswer: j**(-18135\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 983271748*b**6 + 6231*b**2 + 18920*b wrt b.\nAnswer: 117992609760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 452, -0.2, 5.\nAnswer: -38, -0.2, 5, 452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2131302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u + 16. Let y = u + 6. Let q be 2 - (y - 1 - 3). Solve 6*n + 16 = 2*n, q*x + 5*n = -8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66868654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3753*c**4 + 1 - 3722*c**4 + 7544*c**4 + 23*c**3 - c to the form k*c**3 + s + z*c**4 + y*c**2 + v*c and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-6) + -2)*(-5277 - 0). Round t to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*b**2*h - 110*b**2*n**2 - 190786*b*h - 1879*h*n**2 wrt n?\nAnswer: -220*b**2*n - 3758*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16393 and 0.4?\nAnswer: 16393.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46020830173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*279.467.\nAnswer: -33.53604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -402\/109?\nAnswer: -402\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 812 - 522. Suppose -3*a + k = -304. Suppose -a = -y - 2*y. Calculate the greatest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*b = 4*x - 102*b - 51764, -x + 12951 = -3*b. List the prime factors of x.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 23\/(-10))\/((-387)\/172).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -356*v**2 - v. Let k(h) = 4941*h - 2. Determine k(f(c)).\nAnswer: -1758996*c**2 - 4941*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + 10. Let m(t) = t**2 + 2*t - 4. Let r be m(5). Suppose -2*z = -5*i - 6*z + 28, -2*i + r = -5*z. Calculate the highest common divisor of a and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244260 is divided by 81125.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814 a factor of 48338892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-114)\/63)\/((-10)\/7).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3135105 to two decimal places.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163*t**3 + 3720*t**2 + 1540925*t.\nAnswer: 978*t + 7440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22*(-2 + 9\/6 - -1). Let n = l - 15. Let f(b) = b**2 + 4*b - 2. Determine f(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*f - 2*s + 16, 3*f + 5*s + 8 = 0. Sort -5, -2, f, 3.\nAnswer: -5, -2, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -26683, 0, 4 in descending order.\nAnswer: 4, 0, -8, -26683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = 4*n - s, 3*n + 89 = 3*s + 422. Suppose -5*c + 54 = -n. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -6 + 10 + -33 - (-5 - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202332223 + -10?\nAnswer: 202332213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64.095 - -0.095. Let h = i + 63.928. What is h rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4103541 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2. Suppose 2*z - 15 = -2*z - 3*s, -5*z = -3*s - 12. Let d(y) = 4*y - z + 3 - 6*y. What is r(d(b))?\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11582 is divided by 3572?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 1216*q + 1214*q - 32 - 57 = 33, -q + 12 = 76 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2\/5 + 456*w\/5 - 1872\/5 = 0.\nAnswer: -156, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(4\/19)\/g**16*(g\/(g**(-37)\/g))\/(g\/g**(4\/17)) assuming g is positive.\nAnswer: g**(7250\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*u + 6*u + 11*u**2)*(-194 + 549 - 239) + 2*u**2 + 2*u**2 - 5*u**2 to h + t*u + m*u**2 and give m.\nAnswer: 1275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 30\/(-26)) + 37\/13. Solve 0 = 2*n + 2*o + 12, 2*o = o - g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*a = 15, -a - 12 = -3*k + a. Suppose 1370*w + 3269 = 19709. Solve -w*t = -9*t - k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 213, 819, 1813, 3189, 4941, 7063, 9549?\n\"Answer: -p**3 + 200*p**2 + 13*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/2 - (-5 - -4). Let c = 56 + -56. Solve -m - 2*z - 10 = -z, c = r*z + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 926.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 722, 868, 1014?\nAnswer: 1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 460 and 7406920?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.107 (c) 0.4 (d) -5 (e) 327 (f) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.5 and 64.62837.\nAnswer: -743.226255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**2 - x**2 - 2*x**3 - x**3 + 4*x**3 - x**3 + (-2*x**2 - 2 + 2)*(0*x - 2*x + 4*x))*(-21 + 103 + 10) to k*x**3 + m*x + r*x**2 + o and give k.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*a - 65*a - 787 - 417 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 60 = 13*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338, -336, -332, -326, -318, -308?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 4*a**2 + 7*a + 7. Let x be (-3)\/(-12) + (-17)\/4. Let g be (x\/6)\/((-2)\/(-15)). What is l(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9420 divided by 146\nAnswer: -4710\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 74 and -1819471.\nAnswer: -134640854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(2\/39))**(-25))**46)**(-2) assuming f is positive.\nAnswer: f**(85100\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376, 749, 1124, 1501?\nAnswer: 1880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7420 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1541289391.35 and -0.22?\nAnswer: 1541289391.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -152 - -260. List the prime factors of 11\/(z\/(-28) + 4).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*r = -r - 1, -2*p + 13 = -3*r. What is the third derivative of -p*t**5 + 9*t**2 + 20*t**2 - 56*t**3 + 82*t**3 wrt t?\nAnswer: -120*t**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/8*p**4 + 0 + 3\/8*p**2 + 0*p - 3\/8*p**3 + 3\/8*p**5.\nAnswer: 3*p**2*(p - 1)**2*(p + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -14. Let c(r) be the first derivative of -1\/3*r**3 + 0*r + 0*r**d - 1\/5*r**5 + 1\/2*r**4 - 2. What is v in c(v) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z + 29. Let m be t(-8). Let d(p) = 4*p**2 + 6*p + 7. Let h(a) = -7*a**2 - 11*a - 13. Suppose 0 = -6*s - 4*s - 60. Give m*d(x) + s*h(x).\nAnswer: -2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-4)*(-2)\/(-15). Suppose 3*i = 1 - 7. What is the biggest value in 4, z, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(2 - 4)*4\/(-6). Let n(w) = -8*w + 8. Suppose 1 - 5 = -k, 5*u + 4*k = -104. Let a(v) = -39*v + 39. Let r(s) = u*n(s) + 5*a(s). What is r(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186194.5036 take away -3399?\nAnswer: 189593.5036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250303, 250444, 250667, 250972, 251359, 251828?\nAnswer: 252379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -2*w**3\/3 - 5*w**2\/2 + 3*w + 98. Calculate a(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 21555.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -382.189 and 9.\nAnswer: -3439.701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 1851186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013096411 to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 240875009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -30541199 and 29 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-50))\/((7426\/94)\/316).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -14. Let h(k) = 3*k**2 + 80*k + 504. Let b be h(-16). Let i = a + b. Put 2, i, 5 in decreasing order.\nAnswer: 5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 j when four letters picked without replacement from mjjmemc?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f = -17 - 38 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*l + 112*l + 30 = 0. What is the closest to 2\/7 in -0.5, l, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from vsstl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -12)*24\/(-15). Let b(o) = 17*o**2 + 0*o + 9*o**3 - o - p*o**2. What is b(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.1 + -2.1. Let m = d + -8.3. Let s = 0 + -0.1. What is the closest to s in 5, m, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 0*o**2 + 0*o**4 + 10*o + 0*o**3 + 13\/5*o**5 + 7. Differentiate h(k) with respect to k.\nAnswer: 52*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {d: 1, x: 7, r: 2, q: 7, n: 2}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -337*a**9\/126 + a**8\/168 - 91*a**5\/20 - 5*a**4\/24 - 2392*a**2 - 2. Find the third derivative of t(f) wrt f.\nAnswer: -161760*f**3 + 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/7))**(-22\/7)\/(l*l\/l**(1\/2)*l)**(-27)*(l**(-2\/5)*l*l**4)\/(l**(-1\/5)\/l**4) assuming l is positive.\nAnswer: l**(35407\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**2 + 2*f + 1. Let n(m) = -3*m**2 - m - 1. Let j(w) = 2*g(w) + 3*n(w). Let y(c) = -5*c**2 + 5*c - 6. What is -4*j(k) + y(k)?\nAnswer: -k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 895983191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 102591223 a multiple of 3350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(3\/4)\/f))**(-15)\/(f**(-1)\/f)**(1\/16) assuming f is positive.\nAnswer: f**(-149\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513 a factor of 19124201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1356.5 + 1356. Let t = -22 + 13. What is the closest to 1 in -4, x, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-39)\/12 + 3 - 13\/(-4). Suppose -l*i + 259 = -491. Calculate the remainder when i is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -521.2 rounded to the nearest ten?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**3 + 535*r**2 - 310*r - 123. Determine a(-77).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1717 - 1662. Suppose -2*p - p = -6. What is the remainder when a is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*g + 16, -2*o + 12 = -3*g - 0. Sort o, -4, -1, -77.\nAnswer: -77, -4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*l - 3, 8 = 2*s + 2*l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**(4\/7))\/g)**(-27)\/(g\/((g*g**(1\/12))\/g))**(-8\/5))**(6\/13) assuming g is positive.\nAnswer: g**(-8602\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (-4 + -33 - -15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12039088 and 5.\nAnswer: 0.6019544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + h + 480 = -4*h, 3*h = 0. Let r(m) = 6*m. Let g be r(2). Calculate the highest common divisor of d and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - y = -3*h - 10, h - 2*y + 5 = 0. Let t = -13 + -20. Let l = t - -39. Solve -3*o = -5*o - l, -7 = 4*a + h*o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-13)*p\/p**14 assuming p is positive.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 42*v**2 + 5*v - 7*v.\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 115 = 3*w, w + 4*p = -p + 65. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -8 (c) 5 (d) 434 (e) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3. Let i = 0.246 - -0.864. Let f = i - 0.11. Which is the third smallest value? (a) f (b) o (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34)\/68 - 2116203\/(-6). What is n rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -478, -1949, -4420, -7897, -12386, -17893?\n\"Answer: -i**3 - 494*i**2 + 18*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22467?\nAnswer: 3, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35128, 70246, 105366, 140488, 175612?\nAnswer: 210738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.184, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + 5*q**3 - 6*q**3)*(527*q + 4161*q - 1 + 841*q).\nAnswer: -11058*q**4 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -15. Suppose -4*o - n = -z + 46, z = -o - 20. What are the prime factors of (-30)\/(-2)*(-9)\/o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3))**(-3)\/(t\/(t**5*t)*t*t**(-6)*t) assuming t is positive.\nAnswer: t**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 72*q - 127*q + 56*q - 3. Determine x(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -2\/5, -1\/3, -1, 55?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*w - 6867 = -275*w. Let i be w\/(-308) + -7 + (-2)\/11. Which is bigger: i or -67?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, v: 5, x: 8, n: 5}. What is prob of picking 2 x and 2 n?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1598\/11 (b) 2\/11 (c) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p. Let x be z(2). Let 3*w**2 - w**2 + 0*w - 3*w**x - 2*w = 0. Calculate w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -41. Suppose -t*c - v = -178, 0*c + 3*v - 39 = -c. Let n = c + 4. What is the highest common divisor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 55*x - 150. Does 35 divide o(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5865*y = 6129*y + 7920 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 267\/10 - 71\/5. Which is the biggest value? (a) r (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (0 + -4 - -1) - 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-6 - -19) - 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 44?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17045093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -5\/4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 26) + 8 - (-88 + -1 - -18).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536 equal to 4535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2607)\/153 + 2 + (462\/(-6) - -92)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 15*t + 1. Let s be c(-7). Let b be (-14)\/(-18) - s\/(-36). What is the units digit of (-3 - (-2)\/b)*-65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 70, 40, 8, -26, -62?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*c - 3493 + 3493.\nAnswer: 60*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 5*q - 4*q + 3, -4*u = -2*q + 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + (-105)\/14)\/(1\/34). Let q = 3698 - g. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 168.2774 to 0 decimal places.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-20)\/(-70)*(-9)\/(-102)*1.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/7))**(-11\/4))**(-25)\/(q**3\/q**(2\/5)*(q*q**(-3)*q)\/(q**(-1)*q)) assuming q is positive.\nAnswer: q**(1263\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3 + 7*n - 1 - 4 - n**2 - 3. Let f be w(6). What is the smallest common multiple of -1 + f\/((-3)\/(-12)) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*t - 100 = -317*t + p, 5*p - 72 = -2*t for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 2 + 102*k + 2 + 110*k + 91*k.\nAnswer: 303*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 14*l**2 + l + 15. Let d be x(-14). Let n be 6\/(-105)*d*(-5 + 0). Which is the nearest to 1? (a) -0.2 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -35, -47, -61, -77, -95, -115?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11011 (base 2) to base 3\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206.997 millilitres to litres.\nAnswer: 0.206997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3542306985 - 3542306311.0000279. Let i = 12.63 + 661.37. Let b = i - g. What is b rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 9*k + 9010 = 0. Suppose -5*r + 3*m = -k, 4*r - 5*m = r + 531. Suppose 2*i - 80 = r. List the prime factors of i.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8287 + -0.1713. What is the smallest value in 1\/4, l, 187\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47934? (a) -0.3 (b) 3\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**3 - 85 + 85.\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -332812*u**4 + 262275 wrt u?\nAnswer: -1331248*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 300?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243340 and 374210.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 0 in decreasing order.\nAnswer: 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0)*(62 + -70)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 3*l**2 - l - 1. Let j be o(-3). Find the second derivative of z**2 - z**2 + 2*z - j*z**2 wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/36)\/(11\/(-22)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -336 + 334.01. Let s = -0.01 + t. Which is greater: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 7*x - 5 = -2*n, 4*n = -4*x + 16. Let l = -0.6 - -0.3. Let o = 3.3 + l. Which is the nearest to -2\/9? (a) -4 (b) o (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(306) + 5*sqrt(136))\/(-6*sqrt(2)*1 - (sqrt(16)\/sqrt(128) - sqrt(2))).\nAnswer: 20*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 9. Solve -3 = 5*h + x - 8, 10 = h + w*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*q - 50*q - 308. Suppose 30*k - q*k = 11336. What are the prime factors of k?\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282279 is divided by 2066.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002821 rounded to four dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4.2+6334\nAnswer: 6329.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 d when three letters picked without replacement from dqeeqqede.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49\/28*(-32)\/(-28))\/(6\/(-21)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2872 = -9*n + 5*n. Let q = 1341 - n. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 4:09 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 35124?\nAnswer: 35126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3653 is divided by 174.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p**2. Let q(y) = 36*y**2. What is v(q(z))?\nAnswer: -6480*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15761750 - 4?\nAnswer: 15761744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2130 = 5*n - l, -4*n = l - 1694. Let u be (n\/(-1325))\/((-9)\/(-5) - 2). Factor 2\/5*c**3 + 8\/5*c**2 - u - 2\/5*c.\nAnswer: 2*(c - 1)*(c + 1)*(c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l + 2*l - 5*l + (-1 + l + 1)*(-3 - 1 + 1).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -221 by -17.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 - 78.3. Suppose -3*l - 5 - 7 = 0. Which is greater: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r. Let i(v) = -707*v. What is g(i(k))?\nAnswer: 4949*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 148*z + 14 - 39 - 296*z**2 + 250*z + 14 + 12 wrt z.\nAnswer: -592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -19\/24532?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*q - 211 = -13*q - 4747. What is the highest common divisor of 12 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -6. Let j = 2 + 0. Suppose 2*d - 5 = -3*d. Which is the third smallest value? (a) j (b) d (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(20\/2406))\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 4. Let k be i(-1). Suppose -2*x - 116 = 2*j - k*j, 3*x = j - 34. What is the greatest common divisor of 160 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -125*n + 7869. Determine l(63).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**4\/5 - 12512*m**3\/5 - 11523964*m**2\/5 - 2576603472*m\/5 + 2634536592 = 0. Calculate m.\nAnswer: -1398, -337, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*q**2 - 18*q**3 + 97*q + 5*q**2 - 48*q**3 wrt q.\nAnswer: -396*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -40367*g**2 - 72*g - 200. Let h be r(-16). What is h rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**5\/5 - 21264*u**4\/5 - 8480*u**3 + 594984*u**2\/5 - 977692*u\/5 + 446376\/5 = 0. Calculate u.\nAnswer: -5314, -7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -479, 5, 16, 23, -5 in increasing order.\nAnswer: -479, -5, -1, 5, 16, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxuzzuzdhuxxxuxxhkuk. Give prob of sequence hxd.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 7*a + 11. Let v be z(6). Solve -b - 6 = 3*x + 2*b, v*b = 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 29393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - 29. Let t = m + 129. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g + 5*y - 20, g + 3*y + 16 = 0. Let a(d) = -2*d**3 - 7*d**2 - 5*d + 3. Is a(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 2*t**2 - 2*t + 4. Let o be u(3). Let v = o - 5. What is the third derivative of 2*z**3 - z**v - 3*z**3 + 3*z**3 wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*w - 24*w = 6766 - 2176 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-96))\/((-10269)\/23961*(-1)\/(-12)*-7)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**6*y + 76530*a**6 + 4*a**2*y - 4*a*y - 91260*y wrt a?\nAnswer: -600*a**3*y + 9183600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-45)\/(-9))\/(-30)*-2)\/(198\/(-1944))?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r - 720. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -5*u - 2, 5*u + g - 45 + 38 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-65)\/13 + (8958 + -3)*108\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 q, and 1 z when three letters picked without replacement from zjqyz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 15*m + 75. Give q(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5152907282 and -0.1?\nAnswer: 5152907282.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 2*k - 1. Let j be x(2). Solve 5*o - 2 = j*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.211 + 0.079. What is w rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/11148 and 1\/1672.\nAnswer: 4659864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1962 + 1962.4. What is the nearest to -4.33 in u, -0.06, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 1 (c) -232 (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1089 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 7*u**2 + 10*u + 17. Give v(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95750999 to the power of 1\/3, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-273)\/52 + 5)*-1. Find w such that -1\/4*w - 1\/4*w**4 + 3\/4*w**2 + z*w**3 - 1\/2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 29. Let v = 5 + -4.6. Which is the smallest value? (a) -5 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 79, 110, 155, 214, 287?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32988518 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1853 is divided by 400?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 2*h - 192 = 0, -s - 24 - 23 = s + 389*h - 390*h for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -433*v**4\/4 - 918*v - 1197. What is the first derivative of b(f) wrt f?\nAnswer: -1299*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -99, -160, -255, -390, -571, -804?\nAnswer: -1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 315 and 223545.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 10 = 4*i, -110 = 2*i + 2*u - 118 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 - 111 - (-6 - (3 - -3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*u + 9. Suppose 5*a - 4*o - 48 = 0, 0 = -u*a - 3*o - 0*o + 10. Calculate the smallest common multiple of 5 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -27. Suppose -3*v + v = 0. Suppose -2\/11*w**y - 2\/11*w + v = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10736.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - -321203?\nAnswer: 321140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -527339.48925668.\nAnswer: -527339.88925668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -11*f**3 + 2*f**2 + 26*f + 2. Let c(l) = -11*l**3 + 3*l**2 + 25*l + 3. What is 2*c(d) - 3*s(d)?\nAnswer: 11*d**3 - 28*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -118 greater than -116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -814*i**2. Let z(d) be the second derivative of -d**3\/6 + 188*d. Give z(m(n)).\nAnswer: 814*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/2 + 3*z**2 - 9*z\/2 - 7 = 0. What is z?\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*z - 114. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6\/41 + -64\/123. What is the fourth biggest value in a, 51\/5, -1\/2, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*s**3 - 2\/3*s + 0 + 2*s**2.\nAnswer: -2*s*(s - 1)*(2*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 93\/9 - (-1)\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1875940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 132?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.08 (b) 0.8419 (c) 57 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*l + 27*l + 28. Solve 0 = c + l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 7*g + 4*g, 5*g = 0. Suppose o = 2*f + 6, -3*f + 123 = u - 47. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2717100 and 8100?\nAnswer: 24453900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15, -48, -129, -282, -531, -900, -1413?\n\"Answer: -4*d**3 - 5*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 2}. Give prob of picking 1 a and 1 p.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -291 + 290.79. What is the second smallest value in -2, s, 1, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 344*-0.7\nAnswer: -240.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 86*n - 91*n, 299348 = 4*g - n. List the prime factors of g.\nAnswer: 3, 5, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -67539.3 rounded to the nearest 100?\nAnswer: -67500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 7*x - 15. Factor 4*p**3 - 3*p - 3 + 3*p**2 + 0 + 4*p**x - 5*p**3.\nAnswer: 3*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = 18*n - 16*n, 2*n = 2*q - 8. Let d(t) = -7*t**q + 2*t**2 - 8*t**2 + t**2. Let p(z) = 3*z + 2*z - 4*z. Give p(d(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 0. Let n = 1 + -0.7. Let i = 0.9 - 1. Which is the biggest value? (a) n (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 8*m - 75 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/62 and 36\/959.\nAnswer: 59458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4071 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: What is the fifth biggest value in 2\/3, -5, 1\/2, 5, -57.6, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -58 - 52. List the prime factors of z.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q)**(-4\/17)\/((q*q*q\/((q\/q**1)\/q*q))\/q*q)**31*(q**(-6\/7)*q*q*q**4)\/(q*q*q**(-2\/7)*q)**(-37) assuming q is positive.\nAnswer: q**(88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2295.9 + 2182. Let j = -113 - v. Which is smaller: -5 or j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 22.296936 months?\nAnswer: 0.1858078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4}. What is prob of sequence bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 3) to base 8.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7739, -15397, -23051, -30701, -38347, -45989?\nAnswer: -53627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**4 - 20*c - 107*c**2 + c**4 + 105*c**2 - 2*c**3 in the form q*c + b*c**3 + t + f*c**2 + u*c**4 and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*o = -1 - 13, -55 = 5*n - 5*o. Let v be n\/(-4 - -3) - 3. Factor 2*j**2 + 2\/7 - 10\/7*j - 6\/7*j**v.\nAnswer: -2*(j - 1)**2*(3*j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2060388.\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11766 or -14252?\nAnswer: -14252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -1 - 2)*-2. Suppose -y*x + 8 = -0. Let k(c) = -c**3 + 7*c**2 - 4*c - 8. Let q be k(6). Solve -x*p + i = q + 8, -4*p = -3*i + 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*((r**(2\/7)\/r)\/r)\/r*r*r)**50\/(r**(-1\/3))**(-3\/17))**40 assuming r is positive.\nAnswer: r**(543720\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a**2\/11 + 42*a\/11 + 2448\/11 = 0. What is a?\nAnswer: -17, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**5\/20 - o**4 - 10*o**3 - 63*o**2. Let c(v) = 0. What is v?\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74974 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 35926.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2652\/5 - 530. What is the nearest to p in 1, 1\/2, 5, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -356 - -479.5. Let h = t + -123. Which is the smallest value? (a) 2 (b) -5 (c) -0.2 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13*p - 200. Is z(-26) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -401, -404, -405, -404, -401, -396?\n\"Answer: n**2 - 6*n - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5155 is divided by 1643.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2. Let m(c) be the first derivative of c**4\/4 - 2*c - 1. Let v(f) be the first derivative of m(f). Calculate n(v(t)).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2299, 4624, 6957, 9304, 11671, 14064?\n\"Answer: a**3 - 2*a**2 + 2324*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + s - 108 = -6*z, z - 18 = -2*s. Suppose 5*h = -5*r + 80, 2*r = 3*h - z - 16. Solve -i - 2*p + h = -6*p, -4*i = 3*p + 20 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbfbnpr. Give prob of sequence nbp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 856275 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 180945699 rounded to the nearest one million?\nAnswer: 181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -662*z = -661*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -26, -6, 28, 82, 162, 274, 424, 618?\n\"Answer: b**3 + b**2 + 10*b - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -382054, -382072, -382090, -382108?\n\"Answer: -18*c - 382036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 171995385 - -5.\nAnswer: 171995390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4830.894 rounded to the nearest ten?\nAnswer: -4830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f + 10*f**2 + 10*f**2 - 10*f**2 + 10*f**3 + 0*f. Let z(s) = 2*s**3 + 2*s**2 + s. What is 2*p(j) - 11*z(j)?\nAnswer: -2*j**3 - 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -13*y**7\/210 - y**5\/10 + 6*y**2 + 10. Let b(v) be the second derivative of z(v). Find the third derivative of b(d) wrt d.\nAnswer: -312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 3*v - 3. What is q(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -5. Calculate the remainder when y is divided by ((-33)\/44)\/(2\/((-64)\/6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38158905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 815548231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 5*w - 3 - 3*w + (-8 - 1 + 2)*(-8*w + 12*w + 8*w) as d*w + i and give d.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 5*g**2 - 5*g. Let d be r(4). Put d, 5, 0 in increasing order.\nAnswer: d, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13806842 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58 (base 10) to base 14.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3389039 to the nearest integer?\nAnswer: 1841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 9:10 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r**(-1\/2)*r)*r*r**1*(r**(-1\/3)\/r)**(-20\/7))\/(r*r**(-1\/5)*r*r*(r\/r**1)\/r*r**1*r**(-1\/4)) assuming r is positive.\nAnswer: r**(2419\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14031?\nAnswer: 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 4*h + h - 3*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7968 - -7909. Sort 3, 4, 5, d in descending order.\nAnswer: 5, 4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in -5, -1\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4780355 divided by -956071.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -218986589293 + -12\nAnswer: -218986589305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = u - 2. Let p(b) = -4*b**3 - 4*b**2 - b + 2. Let o be p(-2). Suppose 2*h = -3*g - 15, h - 4*g - o = -2*h. Sort -2, u, h.\nAnswer: -2, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3\/2, 2\/5, 976 in descending order.\nAnswer: 976, 3\/2, 2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -6. Let q be (-13)\/(-6) + 11\/(-66). Suppose 0 = t + 3 - 19. Solve -v - q = v + a*w, -5*v = -3*w - t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 145, 217, 289?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-13)\/j*j*j**13*j**(-6\/5)\/(j\/(j*j**(-1\/2)*j*j)*j))**(-18) assuming j is positive.\nAnswer: j**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 7*i - 11*i + 25, 4*i - 20 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101010 + 1110110?\nAnswer: -101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - -71. What is the remainder when 467 is divided by l?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -4 (b) 5 (c) -8 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + 8 + (-1 - (-614 - 4)) is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1260 and -37\/72.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/222*(-3 + 1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 10475843?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 94?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9492 - -9494. What is the smallest common multiple of w and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -4.\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2\/5))**(-1\/19)\/(a\/a**(2\/7)*(a\/(a\/a**7))\/a*a*a))**(-2\/21) assuming a is positive.\nAnswer: a**(3896\/4655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxnxn. What is prob of picking 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 0*s - 1\/5*s**5 + 0*s**3 - 10 + 15\/2*s**2 + 0*s**4. What is the second derivative of g(f) wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136450 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**3 + 32864*v**2 - 18847218*v + 18814356 = 0.\nAnswer: 1, 594, 15837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.406 + 0.106. Which is the nearest to 0.1? (a) 1\/12 (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-17)\/n)\/((n\/n**37)\/n) assuming n is positive.\nAnswer: n**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13a2 (base 12) to base 5\nAnswer: 33112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**5\/90 + 77*y**4\/144 - 19*y**3\/36 + 374*y**2. Factor g(s).\nAnswer: -(s - 19)*(4*s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 691 - 151 = 0. What is the highest common divisor of 30 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2035\/12 + -1157\/6. What is the common denominator of -35\/874 and j?\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164228 is divided by 591.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**5 - 1428*u**4 - 44961*u**3 - 294414*u**2 + 729408*u - 388608 = 0.\nAnswer: -16, 1, 506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6038 + -6014. Solve -3*x - 6 = -d for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-94)\/(-18) + 8\/(-36). Suppose -r = -2*f + 4, 3*f = -o*r + 2 + 4. Find the third derivative of -y**f + 4*y**2 + 6*y**2 + 0*y**2 - 5*y**4 wrt y.\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**14)\/s*(s\/s**4)\/s)**(-13) assuming s is positive.\nAnswer: s**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 102362 = 5*y + 57054, -g - 5*y + 26581 = 0. What are the prime factors of g?\nAnswer: 3, 17, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45571 = -7498*w + 65538 + 155996 + 86467 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 5*o)*(-3*o**4 + 14*o**4 + 22*o**4).\nAnswer: 165*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22 + -1 + 25)*(3 - 4)\/(-5). Let b = 0.228 - 99.228. What is the smallest value in -1, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3519 = 5*m, -584 = -2*m - 5*r + 816. What are the prime factors of m?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 375, 707, 1261, 2037?\n\"Answer: 111*v**2 - v + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 20*k - 50. What is a(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123274?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 17*p**3 + 61*p**2 - 22*p + 4. Let c(h) = 33*h**3 + 123*h**2 - 45*h + 9. Let k(n) = 4*c(n) - 9*v(n). Factor k(r).\nAnswer: -3*r*(r + 3)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 + 29*i - 11. Let d(b) = b**2 + 10*b - 4. Let y(u) = -8*d(u) + 3*w(u). Let h = 878 - 874. Let v be y(h). Let n(o) = 2*o + 6. Give n(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, s: 6, a: 5}. Give prob of picking 4 s.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 74*b**5\/5 + b**4\/4 + 2*b**3\/3 - 10649*b**2\/2 + 2462. What is the second derivative of w(x) wrt x?\nAnswer: 888*x**2 + 6*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/27693 or 0?\nAnswer: -5\/27693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 13*o**2 - 7*o + 1. Let l(r) = -r**2 + r. Suppose 2*z + 2 = 4. Let i(f) = z*x(f) + 5*l(f). Suppose -2 = -4*w + c - 3*c, 0 = -2*w - 5*c - 3. Give i(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7541833 decades to centuries.\nAnswer: 0.07541833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 5, 18, 0, -858, 12 in descending order.\nAnswer: 18, 12, 5, 2, 0, -4, -858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 18 + 9 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**8\/28 - 21*y**5\/20 + 11*y**4\/12 + y**3\/6 + 3*y + 2. Find the third derivative of v(s) wrt s.\nAnswer: 240*s**3 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 77\/2*b**2 - 11*b + 1\/12*b**4 + 0 + 0*b**3. What is the remainder when d(0) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/7 - 17*g**2\/7 - 38*g\/7 = 0. What is g?\nAnswer: -2, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 833 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -766915540, -766915543, -766915546, -766915549?\n\"Answer: -3*z - 766915537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -489*w**2 - 231*w + 469*w - 238*w + (2*w + 0*w + 0*w)*(1 + 2*w - 1).\nAnswer: -485*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, -4, -12, 0 in descending order.\nAnswer: 15, 0, -1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o\/o**(-1\/3)))\/o))**(3\/11)\/(o**7*o\/(o*o**(-6)*o)*o*o) assuming o is positive.\nAnswer: o**(-147\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -671, -2107, -4291, -7217, -10879, -15271?\n\"Answer: f**3 - 380*f**2 - 303*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1906026 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: Let x(f) = -f**2 + 6*f + 17. What is the tens digit of x(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112370 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 = -w + 3*g + 192, 3*g + 9 = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 56*i**2 + 44*i + 598. Let q be w(55). What is the second smallest value in 4, 0.07, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 878.71618 rounded to 0 dps?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3384 and 2914?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**7\/35 - 8*d**5\/15 - 16*d**2. Find the third derivative of x(t) wrt t.\nAnswer: 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 142*v - 5. Let c be t(9). Let k = -12821\/10 + c. Calculate the common denominator of ((-3)\/(-8))\/((-18)\/21) and k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0*d - 2*v + 9, 2*d + 5*v = 13. Let m be (-3)\/(-2 + -1 + (-1 - d)). Which is the nearest to -3? (a) 2\/5 (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.96 - -0.04. Suppose 2*k - 1 - 3 = 0. Suppose k*n + 8 = 3*p, 6*n = -4*p + 3*n - 12. Which is the smallest value? (a) 2 (b) p (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 581164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, f: 1, i: 7, c: 1, p: 5}. What is prob of picking 2 g and 2 i?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**2 - 3. Let r(a) = 9*a**2 - 7. Let j(h) = -3*r(h) + 7*u(h). Suppose 2*i = 2*y + 20, 4*i + y = -0*y + 55. Let t(g) = -g**2 + i - 13. Give j(t(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1644 (base 8) to base 14.\nAnswer: -4a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 82 (b) 0.3 (c) -3 (d) 1 (e) -60\/23 (f) -0.26 (g) -3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfmb when four letters picked without replacement from fbmb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 - 3*t - 3. Let q be (-8)\/6*(-3)\/(-2). What is y(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**4 - 6*h**4 + h**4 + (-5 - 4 + 6)*(-2 + 3 - 2)*(6*h**3 - h**3 - 2*h**3 + (-2*h + h**2 + 2*h)*(-h - 3*h + 3*h))*(1418 - 1418 - 15*h).\nAnswer: -91*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-40) - (-1 + (-9)\/10).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**4\/3 + 636*y**3 + 70124*y**2 - 4184180*y\/3 - 1464216 = 0.\nAnswer: -247, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 16. Let s = -160 + 159.7. Is s equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.30546467 and -1?\nAnswer: 6.30546467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 5*f - 119 = 0, -3*f + 64 = -2463*t + 2458*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-12)\/(-50))\/(6\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*g + 5*q, -g - 3*q + 3 = -4*g. Suppose g = 4*s - 3 + 27. Let j(u) = 670*u**3 - 7*u**2 + 5*u + 2. Let h be j(s). Round h to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 13)*(-552)\/(-506).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1422)\/5925)\/((-6)\/100)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 605 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*h - 1 - 13*h + 0)*(111*h + 186 - 86 - 87).\nAnswer: -111*h**2 - 124*h - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2741055?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 54472 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472053?\nAnswer: 3, 157351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7573051 is divided by 93.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*l + 7290388 = -238*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174036506?\nAnswer: 2, 7, 937, 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 9:01 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 44. Let z be (-70)\/(-9) + 8\/36. Sort i, z, 4 in ascending order.\nAnswer: i, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 285.6 - 229.6. What is the closest to 0 in -0.02, -2\/11, f?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -1022\nAnswer: 6132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.27 + 322.73. Let v = 497 - h. Let b = -165.758 + v. What is b rounded to two decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336881 and 934789.\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, t: 1, w: 1, q: 1, m: 6, n: 3}. What is prob of sequence mm?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = k + p + 2, -k - 5*p - 19 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 281897 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5*u**(-1\/6)*(u**3)**(-2\/155))**(-3\/22) assuming u is positive.\nAnswer: u**(-4459\/6820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 257471586 and 1264?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9365.961187 rounded to 1 dp?\nAnswer: -9366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 + 0.1. Let y = 3.99 - -0.01. Put 1, c, y in increasing order.\nAnswer: c, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2932 + 0.0068. Let p be 0 + ((-12)\/10 - -1). What is the smallest value in z, p, 1\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -491, 12, 851, 2026, 3537, 5384?\n\"Answer: 168*t**2 - t - 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1334*w - 583*w + 828100 - 1723*w + 4*w**2 = 0.\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - (-38 + 28)) + -10.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/75*(-6)\/600*8?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -190 + 560. What is the highest common divisor of y and 1924?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 593621 to the power of 1\/2, to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 4*a - 3*a - a**2 + 1. Suppose 6 = 5*n - 4. Let u(m) = -3*m**2 - m + 1. Give n*o(h) - u(h).\nAnswer: h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxzzzazxxgxaxxx. Give prob of picking 1 g, 1 a, and 1 x.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 1:05 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1285*a**2 - 1727*a**2 - 1942*a**2 - 414*a**2 as m*a**2 + b*a + w and give m.\nAnswer: -2798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37\/3 in 8, -1\/4, -673?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90*o**6 + 17110*o**5 - 851*o**2 - 2*o + 3227?\nAnswer: -10800*o**3 + 1026600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97383*y**3 + y + 216395 wrt y?\nAnswer: 584298*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 - 1. Let l = j + 0.5. Let r = l - 0.1041. What is r rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 2. Let m(h) = -18*h + 33. Suppose 0 = 26*s - 15*s + 165. Let k(p) = s*g(p) - m(p). Let r(n) = -n + 1. Determine 4*k(c) + 10*r(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d + 60 = 4*d. Put 6, d, 9, 3 in ascending order.\nAnswer: d, 3, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 6) + -321 + 338 + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*k = 473*k - 144 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + t - 1. Let n(h) = -2*h - 22. Let x(j) = -j**3 + 5*j**2 - j - 5. Let b be x(5). Let w be n(b). What is d(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232110 (base 5) in base 11?\nAnswer: -6351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from mwooo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4*m - 8, 0*m = -2*h + 4*m. Let c(a) = a**2 - a + 6. Let l be c(0). Solve -h + l = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2))**(-28)*v**(2\/15)\/(v\/(v\/(v*(v**(-1\/10)\/v)\/v))) assuming v is positive.\nAnswer: v**(457\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1, 0.2, 1, 83?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84823.\nAnswer: 271, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2896520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/232593 and 47\/575.\nAnswer: 133740975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**4 - 16*i**3 - 254*i.\nAnswer: 24*i**2 - 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/(-13))\/((-40)\/(-24)*(-6)\/(-50)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2\/23)\/n)\/n)**(5\/3)*(n**5)**(4\/3))**(-23) assuming n is positive.\nAnswer: n**(-220\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - g - 1 = -3, -2*c - 4*g + 8 = 0. Suppose m + m - 158 = -h, c = -m + 4. Suppose f = -h - 4850. What is f rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 2*c - 4*c)*(0 + c + 0) + (0 + 0 + c**2)*(0 + 0 - 1).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (4 + -3 - 3). Suppose n = -5*c + 1, 4*n - o = -c - 0. Suppose c*j + 2*j = 52. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2933502800 rounded to the nearest one million?\nAnswer: 2934000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -381*s - 2669. Calculate n(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -10. Let q(i) = i**2 + i + 6. Does 31 divide q(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1517*c**2*u - 8*c**2 - 1898995*c + 1375*u**2 wrt u?\nAnswer: -1517*c**2 + 2750*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 30*p + 2633. Determine u(-88).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55409287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/12)\/((-4)\/(-12)). Let o(s) = 6*s + 2. Let k be o(b). Let w = 2 - k. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - j - 1. Suppose 0*x + 2 = x. Suppose 5*d - x*d = -6. Does 13 divide w(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + sqrt(68) + (3*sqrt(68)*-1)**2 + (2*sqrt(17)*2 - (-1*sqrt(153))**2) + -5.\nAnswer: 8*sqrt(17) + 454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, m: 1, i: 1, f: 6}. Give prob of picking 1 f, 1 m, and 1 d.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 939845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -117, 145, 481, 873, 1303, 1753, 2205?\nAnswer: 2641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + d + 1. Suppose -5*z - 10 = -10*z. Suppose -4*q + 16 = z*x, -5*x + 0*q + 2*q = 20. Determine k(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2301620 (base 7) to base 4\nAnswer: 1011322202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1582)\/339)\/(((-14)\/6)\/7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -17, 4, -0.24?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 7*n**2 - 8*n + 2. Let a = -2 - 32. Let p = 1478 + -1450. Let m = a + p. Determine y(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-5)\/2)*34. Let z = -3 + v. What is the smallest common multiple of (9\/(-6))\/((-3)\/8) and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/((-2)\/(-8)). Suppose 3*j + p*d - 18 = 4*d, 0 = -j - 2*d - 2. Solve -j*t = 4*r + 15 + 13, -5*t = 3*r + 27 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 10:12 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3376 = -4*i + v, 2*v = -4*i + 3241 + 147. Suppose 2*c = -3*c + i. Suppose 3*o + 2*o = 4*s + c, 0 = o - 5*s - 38. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)\/z)**(8\/5)\/(z**17\/z**(1\/18)) assuming z is positive.\nAnswer: z**(-2677\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62975 and 14850.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b - 13. Let q be u(2). What is the units digit of (2 - q)*2023\/(-51)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 1210187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)*r)**(-1\/24)*r\/(r*r*r**(1\/4))*r**4\/r)\/((r**(-2))**(-38)*(r**(-1)*r)**(16\/7)) assuming r is positive.\nAnswer: r**(-1781\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 + -465 + (-4 - -2 - (-2 + 2))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -13 (b) -2 (c) -1.3 (d) 7815 (e) 5\/2 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-1)\/1 - -3). Suppose b + k = -259, b + 261 = k - s*k. Let r be 273\/b + 8\/10. Does 1 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/34)*b*b\/(b\/b**(-29)))**(4\/25) assuming b is positive.\nAnswer: b**(-1838\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(165\/(-276)) - (72\/30)\/6. Suppose 0 = -3*x + 23 + 25. Which is greater: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 480.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 83. Calculate j(0).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irnn when four letters picked without replacement from innirrrrnr?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -3)\/((8 + -4)\/(-8)). Suppose -2*n + 44 = 3*j, 0*n - y*j = n - 17. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - q + 6, -2*t - 5*q - 6 = -21. Suppose -t*a = -0*a - 105. Suppose -d + 3*d = 126. Calculate the greatest common divisor of a and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - 25. Suppose 4*p - 10 - a = 0. Calculate the remainder when 19 - (4 + 0)\/2 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -282 (b) -2 (c) -5 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 369 - 366. Suppose 5*m + 12 - 94 = -2*b, -48 = -2*m + 3*b. Solve -c + 13 = 4*r, x*c + 4*r = -r + m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939366057.\nAnswer: 3, 7, 29, 1542473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-324)\/15)\/(-6))\/(((-3906)\/(-280))\/93)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(136)*3 + sqrt(136))\/((3*sqrt(96))\/sqrt(12)).\nAnswer: 16*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*s + 3659*s**4 - 1832*s**4 - 1835*s**4 - 1 to m*s**3 + h + p*s**2 + a*s + t*s**4 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 285 and 348677607?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 292039423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v + 3*v)*(3*v**2 - 2*v**2 - 2*v**2) - 2*v**3 + 2*v**3 + 2*v**3 + (5*v - 5*v + v**2)*(-v + 0*v + 0*v) - v**3 - 2 + 2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u + 4. Let z(n) = 11*n + 9. Let i(p) = -7*l(p) + 3*z(p). List the prime factors of i(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 55 + 43 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**3 - 8*d**2 - d + 2 = 0. What is d?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 9:22 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 2:45 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 11*a**2 + 5*a. Let c(x) = 6*x**2 + 3*x. Suppose -5 = -2*w + w. Let b(k) = w*c(k) - 3*p(k). Find t, given that b(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71.3653739 - 0.294\nAnswer: 71.0713739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*u + 66832, 5*u + 64359 = -5*x - 19221. What is the tens digit of (-1)\/(-5) - x\/40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -529 (b) 3 (c) 19 (d) -17\/12 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 6)*(9*i + 8*i - i).\nAnswer: 112*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**35\/z**33 assuming z is positive.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -9*g + 255. Let u(c) = c**2 + 3*c + 7. Let m be u(-5). What is the greatest common factor of g and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d9ed94 + -3?\nAnswer: -1d9ed97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.5 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 times 0.0508?\nAnswer: 0.010668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -15 + 1*(442\/13 - 47)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 99258818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/9 - 109*y - 980\/9.\nAnswer: -(y + 1)*(y + 980)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32027267 + 77.9.\nAnswer: -32027189.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 5.6 (b) 0.4 (c) -2.2 (d) -2\/9 (e) -9 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 378 - 378. Put 6, -0.2, -4, l in descending order.\nAnswer: 6, l, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 885 - -872. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 9*j + 6 + 2)*(j**2 - j**2 + 2*j**2).\nAnswer: -18*j**3 + 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 194 = -3*i + 2*q, 123 = 3*i - q. Let k = i - 24. Calculate the remainder when k is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3203607\nAnswer: 1\/1067869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 115.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1620 and 300?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = j - 28, 3*j + u - 2*u - 70 = 0. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*z - 92*z - 72 = -4*q, -2*q = 5*z + 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26238405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (5*1)\/(835\/2505)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165820947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5)\/w**9*w\/w**(2\/3)*(w**(-2\/21)*w)\/w assuming w is positive.\nAnswer: w**(-289\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 113155 (base 12) to base 6\nAnswer: 5520545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 809 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 + 78*u**2 - 106*u + 64. List the prime factors of z(37).\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1047 minus -0.17?\nAnswer: 0.2747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-4 + 3))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322 + 254 = -17*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 29, 72, 133, 212, 309?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216502696?\nAnswer: 2, 27062837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((3 + sqrt(833) + 3)*4)**2 + (sqrt(833) + -2*(1 + sqrt(833)) + sqrt(833) + 4 + 2*sqrt(833))**2 + -4.\nAnswer: 1400*sqrt(17) + 17236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9170 is divided by 939.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192 by -48.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 25 = -18*h + 13*h, 3*v - 5*h + 25 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7225340?\nAnswer: 2, 5, 17, 79, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from {d: 1, a: 1, l: 1, y: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d + 41. Let n be x(14). What is the remainder when 78 is divided by 24 - -14 - 2*n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -118.2 (b) 4 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5303*l = -187642 - 45690 for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 119435454027 and 0.1.\nAnswer: 119435454027.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11954674*j*z**4 - 2*j*z**2 - 1583*j*z - 2*j - 51*z**2 + 6*z wrt z?\nAnswer: -286912176*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 16 - 15*t**2 - 8*t**2 + 7 + 7 - 21*t.\nAnswer: -23*t**2 - 21*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -696*r. Let o(u) = -8666390 - 3*u + 8666390. What is q(o(x))?\nAnswer: 2088*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -48. Suppose 0 = u*a - 2114 + 389. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2730)\/56)\/(-13))\/(9\/(-2)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - -0.12. Let d = -0.11 + n. Suppose 15 - 40 = -5*x - 4*p, 5*x = p. Which is the third smallest value? (a) d (b) x (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 3*k - k)*(2*k**2 - 3*k + 3*k**2 - 6*k**2).\nAnswer: k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 22 in ascending order.\nAnswer: -4, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 7*j**2 + 13*j + 11. Calculate b(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 32*x**3 + 6*x + 616*x**3 - 56*x**3.\nAnswer: 592*x**3 + 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 1. Let n(j) = -3*j - 6. Let l(u) = 6*b(u) - n(u). Let k(d) = 20*d. Let s(x) = -10*x. Let t(y) = 6*k(y) + 13*s(y). Give l(t(r)).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9084426 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*1911978\nAnswer: 3823956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7397 < 7386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 238*d - 839615.\nAnswer: (d - 805)*(d + 1043)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10020 is divided by 4957?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/7 - 89*p\/7 + 90\/7.\nAnswer: -(p - 1)*(p + 90)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/56)\/(16\/(-56)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w. Let i(s) be the first derivative of -541*s**2 + 1955. What is u(i(m))?\nAnswer: 2164*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27255*o**3*z**4 - 7874*o**3 + 4*o**2*z**2 - z**5 wrt z?\nAnswer: 654120*o**3*z - 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a**2 + a**2 - 3*a**2)*(-1 + 1 - a) + a**3 - 3*a**2 + 3*a**2 - 55*a**3 - 4*a**3 + 7*a**3 to the form o*a**3 + c*a + v*a**2 + z and give o.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10*(-2 + (-24)\/(-20)). Solve -i**3 + 5*i**4 + 12*i**5 + 2*i**3 - r*i**5 = 0 for i.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 237 = 3*d + k, 4*k = 0. Let f = d + -10. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 0.35. Let x be (-76)\/8*(-2 + (0 - 2)). Let k be x\/(-9) - (-2)\/9. Which is bigger: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 + 8*w + 3. Let t be a(-2). What is the highest common divisor of 27 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 2*p**4 - p + (-3*p**4 - p**4 + 6*p**4)*(2 - 1 + 2) + 3*p**4 - 4*p**4 + 3*p**4 + (-26*p + 26*p + 3*p**3)*(8 + 5*p - 8 + (3 + 0 - 1)*(4 - 3*p - 4)).\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**5\/60 - m**4\/24 + 116*m**2. Let l(g) = -2*g**2 - 3*g + 2. Let f(n) = -3*l(n) + 5*w(n). Give f(-8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 16*z - 20. Let f be q(-12). What is the highest common factor of f and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*-9)\/(25 - 27). Let y(c) = -c**3 + 2*c**2 - c - 1. Let d be y(2). Let x = k + d. Calculate the least common multiple of x and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 606141.3mm to meters.\nAnswer: 606.1413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -10229 (c) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 360\/(-210)*1\/8*96\/(-72)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13377*v**2 - 4*v**3 - 13397*v**2 + 26766*v**2 + 7*v**3.\nAnswer: 3*v**3 - 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 508705905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t + 4. Suppose 0*o = -o - 2*z - 13, t*z + 6 = 0. Let f be 4 - (0 + 7) - o. Solve -3*i - 2*v + 4 = 0, f = 2*i - i + 2*v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 686.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112 - 126. Let u(m) = 3*m + 47. Let i be u(d). Solve i*p - 1 = -21 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 253625613*b**2 + 137553438 wrt b?\nAnswer: 507251226*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 576.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 47974 divided by 4\nAnswer: 23987\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = c - 6. Let k = 2 + c. Let d(r) be the second derivative of r**3\/6 + 9*r**2\/2 + 35*r. Give d(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4444\/9 + 248963\/504. Find the common denominator of (1540\/(-1750))\/((-2)\/10) and g.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99 - 0.78.\nAnswer: -99.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -9. Suppose -p*x + 6*x = 10. Is 0 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*r - 24, -3*r - 2*f = -6*r + 1. Suppose 2 = 5*u - 3. Which is the nearest to u? (a) -2 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r - 299 - 170 - 101. What is the third biggest value in r, 14, -1\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - y + 7 = 2*y, -5*l - 2*y + 16 = 0. Suppose 8*o = 2*o + 576. Let p = 102 - o. Solve -5*g - 3*k = 11, l*g = 3*k + k + p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-309)\/(-12) - 5\/(-20) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -4 (c) -0.1 (d) 4 (e) 1\/4 (f) -66\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4316 = -1188*j + 28948 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m + 2 = 0. Let g(q) = -4*q**2 - 14*q - m*q**2 + 21*q. Let y(z) = 3*z**2 - 4*z. Let x(n) = -4*g(n) - 7*y(n). Let v(t) = -4*t. Determine x(v(l)).\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**3 - 143830*y**2 = 0 for y.\nAnswer: 0, 28766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 319488691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34\/3 + 250\/21. Let d = 38 - 40.1. Let j = -0.1 - d. Put p, -2\/11, j in increasing order.\nAnswer: -2\/11, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p**2. Let y(g) be the first derivative of -g**5\/60 + 9*g**2\/2 + 12. Let r(s) be the second derivative of y(s). Determine r(x(u)).\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2 + 14*n - 1 - 4*n - 16*n + 1. Let k(j) = j - 1. Let l be 20\/(-8) + (-2)\/4. Let w = -2 - l. What is w*y(i) + 4*k(i)?\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1847, 7308, 16409, 29150, 45531, 65552, 89213?\n\"Answer: 1820*s**2 + s + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 6 + 2)*(-4 + 1 + 1) - 1 + 2 - 2 + 3 - 1 + 0)*(2 + 3*p - 2).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 5 - 5)*((3 + 0 - 4)*(-2 + 3 - 2) - 1 + 1 + 3).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 12*x**2 - 13. Let r be d(12). Let v = -25\/2 - r. Let m = 9 + -8.8. Which is the closest to m? (a) v (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**2*l))**(3\/7))**(-37)*(l\/l**0)\/l*l*l*(l*l*(l\/l**0*l)\/l)\/l*l**(-3\/4)*l**(-1\/2) assuming l is positive.\nAnswer: l**(521\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 3*u**2 + 5*u - 3. Suppose 8 = g + 5. What is j(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 43 (b) 3707 (c) -1\/3 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) -77 (c) -11\/14 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -9821?\nAnswer: -9821.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5208003t to nanograms.\nAnswer: 520800300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*p**4*x - 52*p**3 + 17*p - 27*x wrt p.\nAnswer: -60*p**2*x - 312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -94?\nAnswer: 3\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2. Let d(v) be the first derivative of -65*v**3\/3 - 61. What is d(y(t))?\nAnswer: -260*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 35 = -13*v. What is the nearest to 5\/2 in -1\/4, v, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*n = 608 - 1139 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3244512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y + 9. Let t be o(1). Which is the third smallest value? (a) -2 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 8) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3098153 - 0.039.\nAnswer: 3098152.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 960*d**2 - 10*d + 65. Let h be t(5). Let c = h - 5004. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 3, -5, 12586 in descending order.\nAnswer: 12586, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**0\/x))\/x**(-6)*x*x*x**(-2)*x*x*x**3\/x*x assuming x is positive.\nAnswer: x**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 3, 13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -1 + -19 + 24 - -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.8 + -51.2. Let f = o + 52. Which is the third biggest value? (a) 1\/6 (b) -1 (c) f (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29799982?\nAnswer: 2, 14899991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002766 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v + 4. Let b(i) = i + 1. Let n(z) = 4*b(z) - u(z). Let m be n(-7). Let p = 12 + m. Is 6 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*c + 1864 = 8143 + 9983. Is -11 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*j = -k + 24, -5*j = 4*k - 27. Solve -2*g + 5*g - k = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11165*o - 456 + 921 = 465 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1357059?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-60))\/((-48)\/(-20))*3.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 201\/4 or -1485?\nAnswer: -1485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 621503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-956)\/(-50) - 14 - 5)\/(6\/4)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122222221202222 + 11?\nAnswer: 122222221210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*w + 2*f, 2*w + f - 12 = -3*f. Suppose -w*a = -2*u - 842, -2*a = -2*u - 3*u - 417. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -150 + 251. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22680 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*q = -3*w - 21, 3*q - 13 = -w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25798150 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 6 = -s. Let b(g) = 4*g - 4. Let c(x) = x + 1. Let j(l) = -b(l) + 5*c(l). Let t be j(s). Solve 4*m - 3*m - t*u = -5, -m - 4*u = -16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 55?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d - 6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -351863 - -2?\nAnswer: -351861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47999418.\nAnswer: 2, 3, 653, 12251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 158 = 7*w - c, 5*c - 25 = 0. Let g = 54 + w. Factor 0*x**2 + 0*x**2 + 3*x + 3*x - 3*x**2 - g.\nAnswer: -3*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*f - 3893 + 3977. Solve -4*b = -f*u + 2*u + 14, -3*b + 3*u = 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4473*k + 38845 - 12497 = -31801 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 43392530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 537127?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -53405.14 rounded to the nearest 100?\nAnswer: -53400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -121110, -121123, -121204, -121401, -121762, -122335, -123168, -124309?\n\"Answer: -8*o**3 + 14*o**2 + o - 121117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3088, -1.6, 3\/4, 0.03?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10, 90, 406, 1046, 2118, 3730, 5990, 9006?\n\"Answer: 18*k**3 - 26*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d - a0?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -90.06532 + -5\nAnswer: -95.06532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -220 + 222. Let t(s) = -2*s + 2*s**d + 1 + 3*s - 5*s**3 - 5*s - 17*s**3 + 2*s. Calculate t(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579 times -5?\nAnswer: -2895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + -4 - 1 - (19 - 51)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -163 - a27?\nAnswer: -b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 3*s + 0*s + (-s - s + s)*(-6 + 3 + 1) - 7*s + 3*s + 3*s)*(4*s**2 + s**2 + 0*s**2).\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 22*s - 20. Suppose -s*f = -214 + 202. What is c in 0*c + 27\/2*c**3 + 18*c**4 + 15\/2*c**5 + f*c**2 + 0 = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 0*j - 2 - 5\/2*j**2. Let p(h) = -5*h - 4*h**2 - 9*h + 14*h. What is p(f(o))?\nAnswer: -100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -3, 4\/3, -0.5, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 460 - 51515. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33197.\nAnswer: 89, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-252))\/((-3)\/9)*(-14)\/7.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -50810 + -2070?\nAnswer: -52880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1959, 2306, 2651, 2994, 3335?\n\"Answer: -v**2 + 350*v + 1610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 31*d + 8. Solve -2*g - 3 = -d*g, -5 = 4*y - 3*g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*r**2 + 32 - 48\/7*r.\nAnswer: -2*(r - 4)*(r + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 171*a - 50 - 1416*a + 49 - 4*a**3 + 5*a**3 as m*a**2 + x*a + o*a**3 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {w: 3, j: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 1069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -886, -1771, -2656, -3541?\n\"Answer: -885*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 56*h**2 + 51653*h + 1033. Calculate v(257).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((8151\/9)\/(-11))\/((-2)\/258)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 354\/(-32) + (1 - -10)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 236848 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -414.4?\nAnswer: -414.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175\/(-21) - (0 - (-4)\/6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*i = 12, i = 4*d - 0*i + 16. Let m(n) be the first derivative of -n**2\/2 + 83. Let w(p) = -2*p. What is d*w(v) + 7*m(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2 + 7. Suppose y - 75 = 4*l, -17*l - 75 = 12*l - 24*l. Solve -2*t = 5*m - 0*m - y, -10 = -t - f*m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(5)*-1 + -3) + -1)**2 - (1 + (0 + sqrt(5))*-2*1).\nAnswer: 44 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-4)*(-8)\/6. Suppose 0*g + 3*c = g - 18, -4*c - 12 = 0. Let h = g + m. Sort -5, h, 3 in descending order.\nAnswer: 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1978, -3952, -5926, -7900, -9874?\n\"Answer: -1974*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/9 and -47\/227121?\nAnswer: 681363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 121\/2 + -2 + (-15)\/(-10). Solve 36 = -49*p + d*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-3)*(-21)\/3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 6*n**2 + 5*n - 28. Let y be z(6). Let m be -3*y*80\/(-120). Solve 0*i + m = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3741017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/4134 and -7\/416?\nAnswer: 66144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7\/b)\/(b\/(b*((b**(-17)\/b)\/b*b)\/b))*b*b**(-14)*b*(b**(-3\/5)*b)\/b assuming b is positive.\nAnswer: b**(-128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - -18. Let o = b + -18. Let f = 10.99999925 - o. What is f rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201183.\nAnswer: 3, 67061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -607.\nAnswer: 3\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10667916 divided by -197554?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 2*a - 5*k + 15, 6 = 2*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 7:08 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) - sqrt(51)*1)\/sqrt(3) + sqrt(17) + 1 + 3.\nAnswer: 4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -619?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -405 - -339. Let i be 6\/((-216)\/a)*6. Solve 0 = 5*j + 9 + i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -136889*a**3 - 3*a**2 + a + 2. Let u be z(-2). What is u rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 443 + -433. Solve 5*x = -0 + l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-48))\/(1\/10). Let p = -7765 + 46597\/6. Suppose -1\/6*m**3 - p*m - z*m**2 - 1\/2 = 0. Calculate m.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 323840 (base 9) to base 2\nAnswer: 101111001001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81688.53 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 9 = 2*s. Let v(i) = -i**2 + 25*i - 100. Let t be v(20). Suppose -3*k = 6*x - 2*x - 32, t = -k - 2*x + 14. Put -8, 0, k, s in descending order.\nAnswer: k, s, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -28. Solve -3*h - l*h + 5*v = 15, 4*v = h - 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.903224 decades in centuries?\nAnswer: 0.9903224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*w**3 - 15*w + 10*w**3 + 5 - 5 wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, l: 17}. What is prob of sequence ltl?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502440113?\nAnswer: 7, 5381, 13339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -677*f**2*o**4 - 28*f**2*o**2 + f**2*o - 2 wrt o.\nAnswer: -16248*f**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/(sqrt(48)\/sqrt(6)) - sqrt(42))\/(sqrt(600)*-5 - sqrt(600)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -102376 + -1?\nAnswer: -102377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/6)\/z*z*z*(z*z*z**(-1\/4))\/z)\/((z**(2\/5)*z*z)\/z**(-6)))\/((z**2\/z**(2\/11))\/(((z\/z**(-1))\/z)\/((z\/(z\/z**(-3)))\/z))) assuming z is positive.\nAnswer: z**(-2399\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 2:16 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1012185, 1012156, 1012067, 1011888, 1011589, 1011140?\n\"Answer: -5*y**3 + 6*y + 1012184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a210 (base 13) in base 12?\nAnswer: 101189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*b + 12 = -3*b, b = -5*z + 4. Let w(t) = -t**3 - 4*t**2 + 5*t + 4. Let y be w(-5). Suppose n = -4*a + 60, z*a + 60 = y*a - n. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -7\/12*b**3 + 1\/16*b**4 - 225 + 3\/2*b**2 + 0*b. Factor y(q).\nAnswer: q*(q - 4)*(q - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143115000 rounded to the nearest one million?\nAnswer: 143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 670*q. Let x(d) = -28*d + 18*d + 0*d + 3*d + 6*d. What is x(p(h))?\nAnswer: -670*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/2 - 12535*q**4\/2 + 43857*q**3 - 112762*q**2 + 125284*q - 50112 = 0. What is q?\nAnswer: 1, 2, 12528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 711850729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, i: 8, s: 1, h: 2, x: 2, v: 3}. Give prob of sequence sv.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, y: 1, n: 11}. Give prob of picking 1 a and 1 n.\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 64\/3 - (-4)\/6. Let j = 42 - v. Let i(b) = -b**3 - 8*b**2 + 3*b + 26. Let a be i(-8). Solve -a*s - 3*s - j = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -11 + 3. Suppose 2*b + 0*b - 50 = -3*r, h*b - 32 = -2*r. Let d(p) = 64*p + 66. Calculate the least common multiple of d(-1) and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 945 and 90313380.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 25. Let j(s) = s**2 + 3*s - 7. Let y be j(-5). Suppose -186 = -y*t - l*k, 4*t - k - 225 = 23. What is t rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3558605 divided by -1\nAnswer: 3558605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 8:55 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (10 + -7 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 5. Let p be -3 + (2 - 0 - -46). Let x be (-18)\/p*1*5. Is x greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 17*s - s**3 + 19 - 23*s + 23*s**2 - 14*s. Calculate the smallest common multiple of o(22) and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264.17841 months in centuries?\nAnswer: 0.220148675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25506000 rounded to the nearest one hundred thousand?\nAnswer: -25500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -6550000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -4\/7 (b) 2619 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59.5 - 59. Let u be 4\/54*(-3 + 0). What is the nearest to -1 in b, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25581937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/232*(-44)\/(-55)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 + 4.02. Let h = 0.14 - 1.34. Let x = -6.2 - h. What is the closest to 1\/4 in 2\/5, d, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2538 - -2543. Let c be 0*(-2 - -1)*1. What is the second smallest value in -5, m, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(720\/50)*4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 1:14 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/35 + 22\/(-40). Suppose -5*x - 2 = -7*x. Suppose 7 = -2*c + x. What is the closest to y in -0.4, 0.3, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47434 (base 8) to base 2.\nAnswer: -100111100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -1 (b) 9 (c) 1\/4 (d) -0.13 (e) 7\/51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -5\/132, -5, 1589?\nAnswer: -5\/132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3)*g)\/g*g*g**(8\/7))**(1\/4) assuming g is positive.\nAnswer: g**(31\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 486.5 - 486.9101. Let c = -0.41 - g. What is c rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856818 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 296341, 297502, 298663, 299824?\nAnswer: 300985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z + 3*i - 23, 4*z - 41 = -5*i. Solve -z = -3*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 2*r**3 - 2*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 30904 (b) -5 (c) -1\/9 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19612643 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 163 = 14. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -13*l**3 - 24*l**2 + 5*l + 5. Let q(a) = -7*a**3 - 13*a**2 + 3*a + 3. Let m(v) = -11*q(v) + 6*y(v). Determine m(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14900 + -5373. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -7. Suppose 9 + 54 = 3*z - b*r, -r - 85 = -5*z. List the prime factors of z - 3*(-2)\/(-6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18812 - 13230. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 423828816 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 688 = -697 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82 + 169. What are the prime factors of a?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/12 - (-217)\/42. Suppose -3*i = l*t + i + 8, 4*t - 4*i - 8 = 0. What is the nearest to -3 in 1\/11, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*f - f. Let n be 11\/f - 3\/6. Suppose n*r - 9 = 4*m + 40, -3*r - 2*m + 25 = 0. Is r less than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3618 and 33510.\nAnswer: 20206530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4871 + 22633. Is 83 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.918 + 0.91801772. What is i rounded to 7 dps?\nAnswer: 0.0000177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - q + 10. Let w be b(-4). Let n be 7 - (-3 - w)*(-8 + 6). Let y(r) = r**2 - 6*r + 7. Calculate y(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 160 + 24 = 0. Let w(z) = z**3 - 24*z**2 + 67*z - 16. Let n be w(21). Calculate the highest common divisor of l and n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00813734773 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.81 * 2228922\nAnswer: -1805426.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u - 6*u**2 - 3*u + 8*u wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1602961 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18549394.2 seconds in days?\nAnswer: 214.6920625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 36704569?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(52)*2)\/sqrt(4) + 2 - (2*sqrt(1872) - (sqrt(1573) - (sqrt(1573) + 1)))**2.\nAnswer: -7487 - 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 31014 (base 6) to base 9\nAnswer: 5571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.54 rounded to 0 decimal places?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -501 = 36*i - 39*i. Let y = i + -170. Is y <= 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l = 29*l + 3403. Sort 2, l, 15 in ascending order.\nAnswer: l, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1112649230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 6.08. Let m = -0.02 + d. Let w = -1.06 + m. What is the third biggest value in 0.3, -5, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtuxxuxxdjxujxuxdu. What is prob of picking 1 u and 1 t?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133846076 and 13916?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.235 - 1.535. What is the third biggest value in -2, m, 5, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 3:06 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 - 10*s**2 - 3*s + 2. Suppose 20*w = -47*w - 267*w - 1002. Let u(z) = -z**3 - 10*z**2 - 2*z + 1. What is w*u(a) + 2*j(a)?\nAnswer: -a**3 + 10*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.069696664 and -2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 33*o**2 + 25*o + 822. What is f(-33)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjdd when four letters picked without replacement from bddjddj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 168, 6, -3, 0.\nAnswer: -3, 0, 5, 6, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 162*f**2 + 1036*f + 3. What is m(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -44\/3 (c) -4 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, -320428.\nAnswer: -320428, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d - 92*d = 45*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.15 - -21.85. Let g = -25.8 + r. Let o = 3.79792 + g. What is o rounded to four dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-1 + 2 - 3)*(-n**4 - 10*n**4 + 16*n**4).\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (44\/(-132))\/(1\/(-6)). Differentiate 3199*p**d - 3164*p**2 + 6 + 52 wrt p.\nAnswer: 70*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*h - 4100 = -109*h - 252 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, -94, -209, -376, -601, -890?\n\"Answer: -r**3 - 17*r**2 - 11*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6393 is divided by 237?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -13 + 23 - 4\/(-2). Solve 4*g = -0*g - s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32285.\nAnswer: 5, 11, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 32487 to the nearest one hundred.\nAnswer: 32500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 + -105 + (-1 - (4 + -1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 2*i - 10 = 0, 12*i - 4 = 16*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 11*t - 10. Let z be -11 - (-4)\/(-8)*8. Does 22 divide y(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(3 + (-7)\/2). Let n = 3 + h. Factor -4*z + 38 - 34 - 2*z + n*z**2.\nAnswer: 2*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 546196*r**2 + 486612*r?\nAnswer: 1092392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.47 and -993.\nAnswer: 6424.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 12*t - 3*t. Suppose 4 + 5 = 4*n - y, -2*y = -t*n. Suppose -5*s + 4*d + 42 = -4*s, -3 = -n*d. Does 23 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**2)**(-37)\/(m**(-8)\/m*m*m\/(m\/m**(1\/7)*m)*((m\/(m*m**(-1\/2)))\/m)**(-5\/6)) assuming m is positive.\nAnswer: m**(709\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - l - 2*l)*(-5*l + 8 + 8 - 14).\nAnswer: -10*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o = -32*o + 1224. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.0675 * -11.\nAnswer: 154.7425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-12 - 4) + 15.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from pmnjd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + -4*(sqrt(208) + sqrt(208)*-1) + -5*(sqrt(1300) - (2 + sqrt(1300)))**2 + -4.\nAnswer: -24 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-9)\/(54\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*d - 20, -7 = -u + 2*d + 9. Suppose 3*q + q - 8 = 0. Let w(j) = q*j**3 - j**3 + 0*j**3 - 8*j**2 - 4 - 3 + 3*j. What is w(u)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*k + 35 + 335 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2430 + 7705. Suppose 0 = 20*b - a - 9725. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 4) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11725149 divided by 9.\nAnswer: 3908383\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6*1)\/(-6 + 8). Let g = -4.14 - -4.05. Sort u, g, -1 in increasing order.\nAnswer: u, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*m = -1870, -4*m + 153 - 2992 = -3*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -92 - -9ed?\nAnswer: 95b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 14 = 2*j, 4*t + 5 + 7 = 5*j. Let x be ((-4)\/(-10)*-2)\/(-2). Factor 6\/5*p - x*p**t - 4\/5.\nAnswer: -2*(p - 2)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 - 49*o - 95. List the prime factors of v(-19).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9876\/7 - -1407. Find the common denominator of g and -24\/43.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4215\/5058*14\/5?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3837\/12 - 6\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1137 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -53982740 to the nearest 1000000.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4, 74, 306, 776, 1568, 2766, 4454, 6716?\n\"Answer: 14*p**3 - 7*p**2 + p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -5. Let v = -275.8 + 24. Let h = 251.8 + v. What is the fourth biggest value in n, -0.2, h, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 444*k**3 - 144*k. Let n(g) = 16*g. Calculate -b(r) - 9*n(r).\nAnswer: -444*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6523287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11807342 is divided by 2426.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -1. Let a(q) = -q**2 + 2. Let p(o) = -a(o) - 2*j(o). Let x(i) = -i - 3. Let g(l) = -6*l - 16. Let h(w) = 3*g(w) - 16*x(w). Calculate p(h(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 24 = -3*m - m, 0 = -2*b + 5*m + 18. Suppose -b*y + 61 = 5. Suppose -y = 2*o - 154. Calculate the greatest common factor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 3*w + 29*w - 8*w - 7*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/3 - (-3720)\/45 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 10*d - 14. Let p = 432 + -427. Suppose -4*c + 5*s = -55, -19*s = p*c - 17*s - 44. What is g(c)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, 18, 47, 92, 153, 230?\n\"Answer: 8*l**2 - 11*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 252*l**3\/5 + 13364*l**2\/5 + 26128*l\/5 + 816\/5 = 0?\nAnswer: -51, -2, -2\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a millimeter in micrometers?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 8*z**2 + 7*z + 2. Let d(g) = -g - 1. Let b be d(6). Let q be v(b). Let m(w) = 2*w**2 - w + 1. List the prime factors of m(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/66)\/((-3)\/45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14590501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5881403 and 11165?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 2*u**3\/3 - 81*u**2 + 1420*u - 5889. Factor a(g).\nAnswer: 2*(g - 71)*(g - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by -44.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/146 and 55\/9?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 - 9*f. Let p(k) be the second derivative of -k**4\/12 + 2*k**3\/3 - 113*k. Let v(g) = -4*j(g) - 9*p(g). Let z(y) = -20*y**2. What is z(v(t))?\nAnswer: -180*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657033?\nAnswer: 3, 13, 17, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -112831*l + 676991. Give p(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7)*x)**43)**(-9) assuming x is positive.\nAnswer: x**(-1935\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 670537\/22 + -30484. Find the common denominator of -1\/14 and v.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + -47aa?\nAnswer: -47a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2 - 441039*o + 34823358 = 0. What is o?\nAnswer: 79, 146934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*v + 6, -2*v - g = -3*g + 4. Let r(l) = 13*l - 2. Let d be r(v). Suppose d - 126 = -3*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1905 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39872, -39898, -39924, -39950, -39976?\n\"Answer: -26*l - 39846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -192491, -190350, -188209, -186068?\n\"Answer: 2141*b - 194632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -191*j + 61*j + 68*j + 129 + 61*j in the form o + i*j and give o.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -214 - -329. Let i = t - 107. Solve 4*v - i = 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53*j**4*t - 2*j**4 + 3*j**3*t - 10*j**3 + 481*j**2*t + 6*j**2 - 2*j wrt j?\nAnswer: -1272*j*t - 48*j + 18*t - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6 (b) -1\/3 (c) -0.6 (d) 7\/5 (e) 1\/38 (f) -7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 3*n - 14 = -2*i, 0 = 3*n + 3*i - 15. Suppose -4*m - 5 - 3 = 0. Is 24 a factor of (n*37\/m - -2)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, q: 3, h: 5, e: 2}. Give prob of picking 2 q.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/155064 and 113\/216.\nAnswer: 1395576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 158375880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-502)\/1400 + 8\/(-14) and (5\/1)\/((-260)\/104) + (-26)\/(-40)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 - 20*w - 5. Let f(h) = h**2 + h - 1. What is -5*f(q) + k(q)?\nAnswer: -2*q**2 - 25*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 158, 0, -1\/3, 1\/4, -0.372, 456?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1131 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -162*x**3 + 72*x**2 - 8*x = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2 + 22*u + 45. Let o(z) = -4*z**2 + 33*z + 67. Let t(l) = 7*k(l) - 5*o(l). Let n be t(-8). Solve 4 = n*m - 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.475 * 9.23.\nAnswer: -152.06425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from hhttthhhtttt?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2\/19, 0.3, 7, -11, -968?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1770*x - 2309*x = -29106 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -c + 45, -4*q - 4*c + 87 = c. Suppose 3*s = g + 3*g + q, -2*g = -2*s + 12. Let j = 43\/44 + -8\/11. Which is greater: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfqkfzlqqqvvzk. What is prob of picking 2 k, 1 q, and 1 z?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65*((-140)\/(-5))\/(-4732)?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*n - 104 = 92 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13866007*h**3 + 356*h + 5452.\nAnswer: -83196042*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 7:50 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/72 and -49\/96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and ((-2168)\/12)\/((-1)\/3) + 20\/(-5).\nAnswer: 4304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**2 + y + 8. Let b(k) = 16*k**2 + 4*k + 25. Give -2*b(z) + 7*v(z).\nAnswer: 3*z**2 - z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1102*g**3 + 6*g**2 + 6*g - 1393. Let v(j) = 1102*j**3 + 8*j**2 + 8*j - 1393. Let z(m) = 4*n(m) - 3*v(m). Differentiate z(s) with respect to s.\nAnswer: 3306*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 530666*-30.\nAnswer: -15919980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*h + 1935 - 2870. What is the remainder when 491 is divided by h?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 0*o - 3*o - 7)*(4*o + o - 4*o)*(4*o - o - 4*o)*(4*o**2 + o**2 - 2*o**2).\nAnswer: -3*o**5 + 21*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 743*s**3\/6 + 1555*s**2 - 2642*s. Find the first derivative of f(i) wrt i.\nAnswer: 743","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 11 + 3 + -12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 12284*p**2 - 297120*p.\nAnswer: 4*p*(p - 24)*(p + 3095)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + 3*s - 246. Give l(-10).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -12. Let h be (-5 - (-32)\/(-12)) + 8. Which is the nearest to t? (a) h (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 8) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2 + 2*c + 2. Let y be w(2). Let v be (y\/(-21))\/(2\/42). Let a = v - 10. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmydi. Give prob of picking 1 h and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.4 (b) 3673 (c) 542\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, w: 3, p: 5, s: 4}. Give prob of sequence bb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-4))\/(-4 - -3) + 2. Let x(j) be the first derivative of p + 1\/7*j**2 - 4\/7*j + 4\/21*j**3 - 1\/14*j**4. What is n in x(n) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1588003*o*v**2 + 157*o*v - 671*v wrt v.\nAnswer: -3176006*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*(-5*sqrt(171)*2)\/((sqrt(63) + (sqrt(252) - sqrt(63)))\/sqrt(7))*4)**2.\nAnswer: 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19405\/84 - 231. Find the common denominator of n and 9\/44.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1403137, 1403151, 1403165, 1403179?\n\"Answer: 14*a + 1403123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 9d2c0?\nAnswer: 9d2c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((16\/20)\/2)\/(2\/10). Let s be (3 - 8) + t + 10 + -5. Suppose 2*m - 6*m = -16. Solve s*x = -3*u + 15, -2*x - 3*x + 27 = m*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 37. Let i(w) = -15 + 5*w - w**2 - g*w + 25*w. List the prime factors of i(13).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 2*z = 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11027188 + 6*m - 11027188.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108497493 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -2884240?\nAnswer: -23\/2884240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -31. Let k = 29 + o. Solve 5*l**3 + 11*l + 1 + 2*l + 2*l + k + 15*l**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 6*d**2 - 24*d + 4. Does 15 divide v(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35572703, -35572704, -35572705?\nAnswer: -35572706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -639 + 645. Let c be 1*(4\/g + (-52)\/(-12)). Let x = 8 - -12. What is the greatest common divisor of x and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxdljjlsjnxdjdx. Give prob of picking 1 j, 2 d, and 1 n.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -158 in -1\/7, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 3564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + 21*d**2 + 12*d - 8. Let h be p(11). What is the third derivative of -689*x**5 + 691*x**5 + 7*x**2 + 6*x**4 + 0*x**4 + h wrt x?\nAnswer: 120*x**2 + 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*c + 36 = 0, 5*a + 5*c = 40 + 100. Suppose v = -4*h + 36, 3*v + 0*h - 95 = h. Calculate the greatest common factor of v and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.68 + -0.32. Let d = -100 - -97. What is the nearest to 0 in t, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) 0.269 (c) 35 (d) 3 (e) 1 (f) -59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**3 - 34*m**2 - 18*m + 1. Let s be n(-23). Find the second derivative of -83*p + 46*p**4 + s*p**2 - 31097*p**2 wrt p.\nAnswer: 552*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599990?\nAnswer: 2, 5, 59999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2083 = 177*y + 844. Let a(m) = -2*m + 3*m**2 + 8*m - 4*m**2 + 7. Determine a(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 1. Suppose -5*b + i + 616 = -3*i, 3*i = -3*b + 348. Let a(y) = -120*y + b*y + 8*y**2 + 8. Determine a(p) - 10*s(p).\nAnswer: -2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29497 and 30?\nAnswer: 884910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 163 = 71. Suppose 5*y + 45 = -s - s, y + h = -5*s. Let i = -2 - s. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:12 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(288) + 1) - (-1*sqrt(288))**2*4) + 1*sqrt(288)*2*5)*3*3.\nAnswer: -10404 + 648*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*m + 35. Let r(x) = -19*x**2 - 4*x + 6*x**2 + x**3 - 7*x - m. Let u be r(9). Round u to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-30*((-28)\/(-24))\/(315\/756).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20790)\/17325 + 293\/240.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6312?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 267 = 2*t, -t = -4*t - 5*d + 410. 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: Is 42152837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 11461*z - 133. Is u(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 6240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 1 + z + 0*z)*(10*z**3 + 0*z**3 - 6*z**3 + (6 - 4 - 3)*(3*z**3 - 2*z**3 - 7*z**3)) to w + n*z**2 + l*z**3 + j*z**4 + v*z and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1207*m - 146*m + 287*m + 417*m - 1873*m)*(0 + 1 + 2).\nAnswer: -7566*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 12*b - 22. Solve 0*l = -b*l + 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -7*u + 8*u. What is the remainder when (-8)\/(u\/(-351)) + 4 is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s - 2*s - 3*s + 1)*(4*s**2 + 0*s**2 - 2*s**2 + (-25 + 24 - 49)*(3*s - 3*s + s**2)).\nAnswer: -96*s**3 - 48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - 20*t + 20*t + 7*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 4*z + 30. Let c be w(6). Let d be (-68)\/10*-3 - 18\/c. Sort -3, d, 4 in decreasing order.\nAnswer: d, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 892 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5105934657 to the nearest integer?\nAnswer: 71456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/3)\/((-8)\/12). Let j be (3\/(-5))\/(i\/5). What is the first derivative of 1 - 5 - 1 - 4*q**j - q**3 wrt q?\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/71 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -18. Let v = a - 5. Solve -5*h - v*g = 58 - 18, -16 = -3*h + 5*g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 4264?\nAnswer: 21320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-6)*8\/(-6). Suppose 2*v = 7*v - 3*x + c, x = -3*v + 10. What is the second derivative of -w**3 + v*w + 3*w**3 + 0*w**3 wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14117 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 398 and 1510.\nAnswer: 300490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817555909.\nAnswer: 67, 1109, 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 680 and 13770?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50391, 100824, 151257, 201690, 252123?\n\"Answer: 50433*p - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 670 - 580 = 0. Solve 5*r + 40 = -3*t + 41, j*r - 7 = -t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, z: 11}. What is prob of picking 1 v and 1 z?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g**3*y**3 - 3*g**3*y - 27*g**2*y**2 - g**2 - 8*g*y + 542*y**3 + 10*y + 18 wrt y?\nAnswer: 30*g**3*y - 54*g**2 + 3252*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -4, 3, 24, 65, 132?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 113, 107, 99, 89, 77, 63?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96924890?\nAnswer: 2, 5, 19, 26849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1\/9 (c) -3 (d) 65 (e) -2 (f) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**3\/6 + j**2 - 32*j - 2. Suppose -124 = 3*o - 7*o - 2*t, 4*o - 3*t - 134 = 0. Suppose 5*n = -7 + o. Determine q(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-4)\/4308) - (0 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8668536 nanograms to tonnes.\nAnswer: 0.0000000000000008668536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8021248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 25\/2*m**2 + 5\/4*m**3 + 0*m = 0. What is m?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:18 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 78*u**2 + u. Let a be x(1). Suppose 0 = 2*m + 31 - a. Let k be -1 - -3 - 2*-29. What is the highest common factor of m and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 187858*x**4 - 2*x**2 - 15*x + 182 wrt x?\nAnswer: 4508592*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.884147 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 172 - 216. Is 8 a factor of 14*(-45)\/60*s\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**5\/70 + f**4\/42 - 2*f**3\/7 - 249*f + 238. Let l(q) be the first derivative of p(q). Factor l(y).\nAnswer: 2*y*(y - 2)*(y + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 99.60493ng?\nAnswer: 0.00009960493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*z - 205, z = -4*x - 137 - 14. Let d = -34 - x. Suppose -3*m + d*m - 8 = 0. Solve -m*c + 5*a - 4 = 29, 3*a = -2*c + 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/((h**(-6\/7)*h*h*h)\/h))*h\/(h*h\/h**6*h)*h*(h**(-2\/3))**(-18))**(-7\/5) assuming h is positive.\nAnswer: h**(-127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/10)*g*g**(-2\/5)*(g*g**8)**(-4\/21) assuming g is positive.\nAnswer: g**(-71\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*s**2 - 78 - 19*s + 78.\nAnswer: -20*s**2 - 19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/405006 and -41\/4017?\nAnswer: 542303034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 7:05 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**5\/10 - 2*d**4\/3 + 4*d**3\/3 - 24*d + 10. Let q(g) be the first derivative of c(g). Solve q(z) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304*h - 346*h = -18*h - 96. Let d(w) = -w + 5. Let m be d(4). Let x be (1 + 1 + 0)*m. Solve -h*c - x = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139 - -145. Suppose -23*y + r*y + 8109 = 0. Does 53 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 78 = -5*r, -3*x + 5*r - 3*r - 106 = 0. Let a = 83 - x. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017614 rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37 or -295\/8?\nAnswer: -295\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.061 > 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 615843136 and 320.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561 - 429 = 62*r - 303 + 801 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (-40)\/(-24))*(-18099)\/24. Let d = 503 - s. What is the nearest to -0.1 in d, 2\/13, 2, -0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**3 - 92 - 7*m**3 - m**4 + 16*m**2 + 90 in the form s*m**3 + c*m + o + k*m**2 + i*m**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6976459 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48716911 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 11:50 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 361737233 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2180209 or 8720837\/4?\nAnswer: 8720837\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4513 is divided by 296?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 8*u**5\/3 + 131*u**4\/3 + 512*u**3\/3 + 122*u**2 - 240*u - 99 = 0.\nAnswer: -11, -3, -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, n: 6, u: 4, g: 2}. What is prob of sequence nt?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/(-4) + -1)*17768\/(-12).\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8763352, 17526706, 26290060?\nAnswer: 35053414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + -541?\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 113, 119, 125, 131, 137?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.04696 * 0.4.\nAnswer: -0.818784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 20 = 13. Suppose -5*s + u = -2*v, -3*s + 4*v - 4 = -7*s. Let p = -3 + 11. Calculate the smallest common multiple of s and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0193 and 1.17.\nAnswer: -0.022581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 266*l**2 - 3*l - 818*l**2 + 277*l**2 + 277*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 + 13*h**2 + 12*h + 4. Let a be d(-12). Let l be (1 + (-36)\/34)\/(a\/10). Let r = 223286\/549525 + l. Find the common denominator of 23\/5 and r.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5758*b**2. Let z(p) = -4*p. Calculate z(i(t)).\nAnswer: -23032*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 625, 677, 729, 781, 833?\nAnswer: 885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 316197263 a multiple of 3011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 797791837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 - 40907?\nAnswer: -40881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/25)\/((-1)\/5). Let w be (1*0\/z)\/1. Solve w = -5*b - 5*m + 25, 2*b + 5*m - 15 = -2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 152379 and 103.\nAnswer: 15695037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - w - 2. Let i be s(-2). Let a = -236 + 236. Put a, i, -6 in ascending order.\nAnswer: -6, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**3 + 8*c**3 + 8*c**3 + 9*c**3.\nAnswer: 31*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -6*(sqrt(192) + 1))**2.\nAnswer: 672*sqrt(3) + 6961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37.98 - 4.98. Put -1\/4, 2, a in descending order.\nAnswer: a, 2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -244 - -266.17. Let v = -22 + h. Let j = 0.142 - v. What is j rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*0.04378633.\nAnswer: -0.48164963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 - 754*o**3 + 371*o**3 + 103 + 358*o**3.\nAnswer: -25*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 126*l - 27*l - 582 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -12*a**2 + 13*a + 17. Let n(v) = 6*v**2 - 6*v - 8. What is 6*i(s) + 13*n(s)?\nAnswer: 6*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 n, and 1 o when three letters picked without replacement from {s: 5, a: 8, e: 1, k: 2, o: 3, n: 1}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(0 + -5 + 6)*-3. Let j(z) be the first derivative of 0*z**2 + 0*z**a + 25*z + 28 + 0*z**4 - 3\/5*z**5. Differentiate j(n) wrt n.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 25*l + 6. Let i(x) = -x - 12. Let z(o) = 6*o + 72. Let g(y) = -34*i(y) - 6*z(y). Let v be g(-14). What is the units digit of d(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 119562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giggggggiig. Give prob of picking 3 g.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2256188.\nAnswer: 2, 11, 47, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 313.98, 1.69, -4, -1, -0.3.\nAnswer: -4, -1, -0.3, 1.69, 313.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyyyyyyyyyyhyyyy?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 13674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**5\/5 + 67*c**4\/5 - 164*c**3\/5 - 433*c**2\/5 + 78*c = 0.\nAnswer: -2, 0, 3\/4, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69900 and 18737860?\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 327054480 and 2208.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2 - 20*q - 192. Determine s(-7).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f. Let p(v) = -2*v - 9. Let h be p(-6). Suppose -4*m = h*m + m. Let l(y) = 0*y + m*y - 2*y - y. Calculate c(l(a)).\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*x**4 + 3*x**3 + 160*x**2 wrt x.\nAnswer: -504*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 3577*b - 92436. Calculate y(-26).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3105 + 99401\/32. Calculate the common denominator of -59\/108 and v.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 20*s**3 + s**2 - 3201*s + 10. Let x(r) = -r**3 + r**2 - r - 2. Let w(t) = -p(t) - 5*x(t). What is the second derivative of w(y) wrt y?\nAnswer: -90*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13912715 is divided by 154?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5019*l - 15061*l + 5023*l + 5059*l.\nAnswer: 40*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/((-6)\/(-1611)). Let q = y - 174. Let u = -0.3 + -0.2. Which is the smallest value? (a) 3 (b) u (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 2:53 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*g + 5*g - 13*g)*(-2*g - 2*g + 7*g - g - g - g + (1 + 0 + 0)*(-g + 6*g - 4*g)) + (3*g + 0*g - g)*(-5 + 2*g + 5).\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 - (0 - 1) - 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -5 (b) -1 (c) 98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 18, 21, 24?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*((-3 + 2*z**2 + 3)*(0 - 2 + 3)*(-2*z - z**2 + 2*z) + 378*z**4 - 154*z**4 - 134*z**4).\nAnswer: -88*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1631 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -179348 or -179492?\nAnswer: -179348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1547 + 1546.99. Is w > 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**0*c*c))**45\/(c**(-3\/2)*c\/c**(-1\/5))*(((c**(-1)*c*c)\/c)\/c*c**(-1\/3))**(7\/9) assuming c is positive.\nAnswer: c**(-24499\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -a9c98 (base 14) to base 15\nAnswer: -81d2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 17*x**2 + 17*x - 11. Let g be c(16). Suppose 5 = 2*j - 3*j + 2*w, g*j = -5*w + 35. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2106 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 251*r**2 + 98*r - 902. Is g(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmmmgmghgoxghhoygoo. What is prob of picking 1 o, 1 m, 1 y, and 1 x?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314234?\nAnswer: 2, 59, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51 + 23. Let x = 4 - j. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -282\/25, -3041, 0.5?\nAnswer: -3041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4552058 milligrams to kilograms.\nAnswer: 0.0000004552058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27451?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2*p**3 + 16*l**2 + 107*l*p**3 + 4*l*p**2 wrt l?\nAnswer: 4*p**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + t**2 - t + 1. Let d be j(0). Let x be (d + (-166)\/4)*-2. Round x to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2074197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -202307*j*u + 11*u + 13734 wrt j.\nAnswer: -202307*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757790 is divided by 4305?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1105.1 - -1105. Let k be 29\/(-28) + 6\/8. Which is the third biggest value? (a) -3\/11 (b) k (c) t (d) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**3 - 141*j**2\/5 - 30*j + 144\/5 = 0.\nAnswer: -8, -2, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u - 5*u + 3 - 6 + 3*u**2 as g*u + y*u**2 + s and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551150 is divided by 543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -43*r**2. Let b(d) = -13*d - 6. Give n(b(k)).\nAnswer: -7267*k**2 - 6708*k - 1548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/221 - (-13 + (-24066)\/(-1190)).\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18822 and -5542?\nAnswer: -104311524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 - -4) + 11 - -5. Suppose -y*h = -37 + 4. Solve -h*r + z = 4, 3*r + 1 = 4*z + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n - 1. Let c = 1 - 4. Let s be h(c). Let q = -11 - s. Calculate the least common multiple of 18 and q.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -14*z - z**3 - 15*z**2 + 2 - 5*z + z. List the prime factors of c(-14).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 3*h - 16 - 12.\nAnswer: -3*h - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -0.3, 192, -2.04, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10189*i**2 + 16139*i**2 + 2*i**3 - 8622*i**2 + 9854*i**2.\nAnswer: 2*i**3 + 27560*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 + 66)*(-109)\/(-2). Suppose -4*g + a = -3699, f = 4*g + 3*a - 542. Does 23 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271254121 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1157, -1158, -1161, -1166, -1173, -1182, -1193?\nAnswer: -1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4360?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 205*r - 3565. Give s(-23).\nAnswer: 621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.873 + 0.073. Let r = t - -14.712. Round r to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -81\/2 (b) 5 (c) 11\/6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 724, 723, 722, 721?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*o - 5 = 0, 2*o + 2*o = 4*h - 36. Suppose -2*x - r = -0*r + 76, 5*x = -5*r - 190. Is (x\/h)\/((-3)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 4. Let f be k(5). Let y = 19631 - 38445\/2. Let l = 408 - y. What is the nearest to l in f, -1\/2, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8*2*0. Suppose -c - 2*c = n. Suppose x = -x - 4*f + 12, -3*x + f + 39 = c. What is the smallest common multiple of x and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/3457 and 10 + 0 + (-986)\/(-2465).\nAnswer: 17285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378 = 6543*b - 6564*b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -121\/761 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100022 - 10?\nAnswer: 1100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -17 - -26) + -14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5071271927 to the nearest integer?\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1560 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -8 + -4 + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 5\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -387 bigger than -384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*b**2 + 66*b**2 + 73*b**2 - 211*b**2 + 23*b**3.\nAnswer: 23*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**3 + 437664*j**2 + 1312973*j - 4376610 = 0?\nAnswer: -437661, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*l. Suppose j + j - 224 = 3*v, l = -v + 4. Let h = 70 - j. What is h rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**3\/3 - 205*p**2\/3 - 10883*p - 210105 = 0.\nAnswer: -87, -23, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 0.0597208?\nAnswer: 0.4180456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7699*k + 3*k**3 - 7854*k - 7680*k + 23233*k.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -55013*m**2 + m + 4. Suppose 7*n + 12 = 4*x + 2*n, -2*x = 5*n - 6. Let z be w(x). Let s = z - -95110. What is s rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 - 10*f. Let d(j) = j**2 - j + 1. Let s(r) = a(r) - 10*d(r). Let x(z) be the first derivative of s(z). Let k(p) = 2*p**2. Give x(k(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71470)\/(-16590) - 122\/(-4819).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*m - 220 = 0. What is the remainder when m is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 151 - (1741 + -1671)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 199 + -71. Suppose 124*a + 492 = c*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((3\/(-25))\/((-8)\/(-40))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 16.5*-479.3\nAnswer: -7908.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -100*i - 25. Let p(x) = -3*x - 1. Let s(b) = -25*p(b) + y(b). Let t(f) = 9*f - 5. Let l(q) = -5*q + 3. Let w(r) = 5*l(r) + 3*t(r). What is s(w(c))?\nAnswer: -50*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40291042.\nAnswer: 2, 11, 1831411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 14*i**2 + 59*i - 425. Is 20 a factor of a(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((290*1)\/(-5))\/(1\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -4. Let q be 20\/58*12\/(-6). Let h = q - -2\/87. Put -2, b, h in ascending order.\nAnswer: -2, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5438 - 2170. List the prime factors of d.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21774 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 900?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in sixty-seven fifths of a century?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 259392.\nAnswer: -5\/86464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 104\/208 + (-30)\/(-4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*c - 2110681 + 2093760 = -8519829. List the prime factors of c.\nAnswer: 139, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 3 - 3 - -3 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - r - 4*r)*(-56 + 25 + 32) - 5*r + 2*r + 2*r + (-2*r - 4*r + 4*r)*(-6 + 4 + 3).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**3 - 4746*f**2 + 10. Let w(p) = 2*p**3 + 2374*p**2 - 6. Give -3*g(q) - 5*w(q).\nAnswer: -q**3 + 2368*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 + 4829400*o**2 - 9658785*o + 4829390.\nAnswer: -5*(o - 965878)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**2 - 2*w - 1. Is n(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 3*f + 13*f - 6 = 0. Solve -4*v + 3*s = 6*s - 16, 2*v - f*s = -10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 12 = -5*q, -5*t - 4903*q + 4905*q = 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459527209.\nAnswer: 459527209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (816\/(-192))\/(1\/(-4))*1. Solve k*x = 20*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1529428432*q**5 + 1593170767*q**2 wrt q?\nAnswer: -91765705920*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 22*w**2. Let p(x) = 12*x**2. Let n(j) = -j**2 - 2. Let f(v) = -v**2 - 1. Let u(g) = -4*f(g) + 2*n(g). Let r(a) = 6*p(a) - 39*u(a). Give r(z(y)).\nAnswer: -2904*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23686555 divided by -4737311.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2322\/860 + 6\/20. Solve 0 = 4*o + 2*k, -b*o = 3*k + 4 - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tplp when four letters picked without replacement from gltdldllplllglglp.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swwrpsjb. Give prob of sequence sw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/6*(6 - 2). Let g(r) = -4*r**2 + 1. Let u(f) = -f**2. Give d*u(x) + g(x).\nAnswer: -2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + 4. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h**2 - 43*h + 782. Calculate k(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*t + 14, 3*t + 0*w + 4 = -w. Let z = -3 - -8. Which is the biggest value? (a) z (b) t (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63433 divided by 4.\nAnswer: -63433\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j - 3250 + 24967. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -12. Let r be 3*2\/(-12)*x. Suppose 1 = 3*c + 2*u - 3, -1 = -2*c - 3*u. Solve 2*v + 0*v - q = r, 0 = v + c*q + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*p + 8 = 18, 5*p + 10 = -5*t. Let z be 2\/(-7) - (-36)\/28. Which is the closest to z? (a) 1\/8 (b) t (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*w - 2 = 220*w, -2*w = 47*g - 192 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -66*c**3 + 5*c**2 + 5*c. Let x(d) = 3763*d**3 - 284*d**2 - 284*d. What is -284*w(r) - 5*x(r)?\nAnswer: -71*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 423809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p - p - 21*p - 12*p + 40*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3069 = -6*c + 21957. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2787780, -4, -3 in increasing order.\nAnswer: -2787780, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.2 (b) 0.249 (c) 5 (d) 3 (e) 4 (f) -250\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -115 + 101*d + 21 - 68*d - 85*d as p + x*d and give p.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3033213 (base 4) to base 8\nAnswer: -31747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1\/2, -1, -16419?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84049 = 3*a - 30049. What is a rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 70 in 8.96, 0.17, -1\/2, -2\/5, 0.4, -5?\nAnswer: 8.96","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 21. What is the remainder when 109 is divided by n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -11*d**2. Let o(t) = 4252*t. Determine l(o(b)).\nAnswer: -198874544*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/8 and 16\/2905.\nAnswer: 23240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 428, 2\/661, -0.5, 2\/3 in descending order.\nAnswer: 428, 2\/3, 2\/661, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1567660.\nAnswer: 2, 5, 103, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/20)\/((-21)\/56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -15 + 1 + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 182*u + 2689. Calculate a(165).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.375 centuries in years?\nAnswer: 10237.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (0 + 2 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 divided by 13118.\nAnswer: -80\/6559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1399586251.\nAnswer: 7, 17, 691837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -9*n**2 + 614*n + 9576. What is the remainder when f(-13) is divided by 4\/10 + (-103)\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**3 + 26514*p**2 - 725*p + 10 wrt p?\nAnswer: -12*p + 53028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -2. Suppose g*n - 2*n = 2. Let l be 54*35*n\/(-3). What is l rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97034363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 24*r - 46. Calculate the remainder when 54 is divided by v(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3403 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1567 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37340 is divided by 69?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**4\/42 + 4*c**3\/7 + 48*c. Let n(z) = 0. What is z?\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 18*k + 5963. What is the thousands digit of b(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0, 1, -2 in decreasing order.\nAnswer: 16, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -810 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**4\/8 + 44*m**2. Give o(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24019 - -24019. Solve 988*r - 982*r - 42 = w for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**4 + 2*l**3*v + 373*l**2*v + 2*l**2 + 11696*l*v + 1 wrt l?\nAnswer: -24*l**2 + 12*l*v + 746*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90*b**2 - 6182*b - 1932.\nAnswer: 2*(b - 69)*(45*b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 478*p + 109*p - 1292*p - 1274*p to w*p + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 30 = 0, 0 = 5*d - 13*q + 8*q + 56*q + 136 + 399 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22873159 is divided by 475.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4)*(-38)\/(-57) + 1. Let h(a) be the first derivative of -j*a**3 + 0*a - 3*a**2 - 2. Let r(v) = v**2 + v. Determine -h(n) - 6*r(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11452126 (base 7) to base 5\nAnswer: -230134210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*x + 26*x + 349*x + 140*x)*(1 + 0 - 2).\nAnswer: -597*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4496, 0.3, 0.5?\nAnswer: -4496","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*d - 33*d - 570. Suppose 2*o = 10, -276 = -2*x - 3*o - 35. Is d bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*h - 8 = 0, 2*h + h = 3. What is the tens digit of (g - (-85)\/(-10))\/(1\/(-14))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + -0.2. Let d = l - -1. Suppose 8*g - 7*g = 1. Which is the second smallest value? (a) 3\/4 (b) d (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 33, 195752, -2 in decreasing order.\nAnswer: 195752, 33, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**1*h)**15)**(-6\/13)*(h**(2\/11)\/(h*(h*h**(1\/9)*h)\/h))\/((h\/((h*h**6)\/h)*h)\/((h*(h\/(h*h*h**7*h))\/h*h)\/h)) assuming h is positive.\nAnswer: h**(-35648\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57383007 and 138402?\nAnswer: 7689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1)*(-p + 1 - 1)*((4 + 4 - 4)*(10 + 8 + 17) + 0 - 3 + 1 + 3 - 1 - 1 + 3 - 2 + 2) to z*p + o and give z.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 174226269 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**2 - 5*g - 2. Let n(x) = -5*x**2 + 5*x + 2. Calculate 3*f(b) + 4*n(b).\nAnswer: -2*b**2 + 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3304 + 0.6696. Let s = 0 + 3. Sort z, -7, s in ascending order.\nAnswer: -7, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 718 - 710. Let d(l) be the third derivative of -b*l**2 + 0*l + 0 + 0*l**3 + 1\/12*l**4. Let m(q) = -5*q**2. What is m(d(o))?\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 2. Let b be (4 - -1)*9\/5. Let h be r(b). Calculate the greatest common factor of h and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0478288 rounded to two decimal places?\nAnswer: -3.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0.6. Let r = 23 - 27. What is the third biggest value in 4\/5, r, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2323101 + 3?\nAnswer: 2323110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14\/21*2601\/(-102)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1, -0.16, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -1 - (-46 + 38)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -252.2 and -2399760.\nAnswer: -2400012.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -15. Suppose -c*k + 6*k = -2. Let q be (-261)\/(-81) - k\/(-9). Put -9, -5, q, -2 in decreasing order.\nAnswer: q, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151288200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*v - 538*v = -42 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -2)\/(-3 - 0 - -4). Let z(m) = -2*m - 3. Let i(q) = -q - 1. Let p(f) = w*z(f) + 3*i(f). Let v(h) = h + 36. Calculate p(v(u)).\nAnswer: -u - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -185, -168, -145?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000523936664 rounded to 6 decimal places?\nAnswer: -0.000524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 19*p**9\/504 + 19*p**5\/10 + 42*p**2. Find the third derivative of c(x) wrt x.\nAnswer: 2280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.188? (a) -0.05 (b) 0 (c) -0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*o - 4896 - 4894 - 4897 + 14687 + 296*o.\nAnswer: 654*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1\/7, -2\/7 in decreasing order.\nAnswer: -1\/7, -2\/7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/99 and 21\/4972?\nAnswer: 44748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {w: 1, n: 1, j: 3, p: 4, l: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 33\/9*(-12)\/(-4). Solve -5*m + w = -14 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*d - 5*d + 51 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.022?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 10:41 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 532.587ml to litres.\nAnswer: 0.532587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (41\/(-3) + -3)*-12. Let v = i - 111. What are the prime factors of v?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*w - 4*w - 145 = 0, 3*w = 15. Calculate the remainder when 362 is divided by k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3407840 by -152.\nAnswer: -22420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.798073 rounded to two dps?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*q + 55348 = -217*q + 153*q - 294*q for q.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/(90\/1500*6\/9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 641 (base 7) to base 3\nAnswer: 102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 3) to base 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 47878237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.56096 rounded to 0 decimal places?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*x - 14, 0 = 3*f - f - 4*x - 12. Solve -f*t - b - 13 = -35, -3*t + 3*b = -9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(77) + sqrt(77))*-1)\/(-4*sqrt(22)\/sqrt(2)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22993?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 630326429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 1 + -2)*0. Suppose y = -3*t - 1 + 7. What is the third derivative of t*b**2 - 5*b**4 + 4*b**4 + 0*b**2 wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*a - 429*a + 231*a + 95*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202483?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 108 + (31 - 41 - -28) + -50\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -829, -1647, -2459, -3265, -4065, -4859?\nAnswer: -5647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 133479, 266972, 400465, 533958, 667451?\n\"Answer: 133493*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f. Let a(w) be the first derivative of -2*w**3 + 1 + 0 + 3*w**3. What is a(s(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 + -5 - (-1)\/2)*(-162)\/(-15). What is the greatest common factor of 8289 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6892 by -10.\nAnswer: 3446\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -242 + 343. Let a = 184 - b. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let t = 0.09 - -1.91. Let d = -181.1 - -181. What is the third biggest value in t, n, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 10:55 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -81*(-75)\/(-135)*(56\/35 + -2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*l + 44 - 1353 = 325 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 5*g**2 - 11 + 6.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 8, -4\/361, 1\/2?\nAnswer: -4\/361","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2560 - -2572. What is the remainder when 8829 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2067*r**2 + 133 with respect to r.\nAnswer: 4134*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1.4. Let p(l) = l**3 - 1. Let y = -10 + 9. Let z be p(y). Which is the nearest to 0? (a) i (b) 1\/6 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39718\/5 - -7989. Which is greater: x or 44?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 7. Suppose m = -2*q - 3*u - u + 20, 4*q - 5*u = 66. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-324)\/16*1\/5 and (251\/(-45) - -1)\/((-20)\/15).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**4 + 692*z + 6*z**3 - 1 - 1424*z + 726*z to the form u*z**2 + i*z**4 + c*z**3 + b + x*z and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/(-10))\/8*(-31)\/93?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**4 + m**4 + 3*m**4 + (-2*m**2 + 2*m**2 - m**4)*(-1 + 0 + 3) + 3 - 3 + m**4 - 5*m**4 + m**4 + 2*m**4 + (-4 + 10 - 4)*(-2*m**2 + 2*m**4 + 2*m**2).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x - 10. Let s(u) = u + 1. Suppose -998*p + 12 = -996*p. Calculate p*s(f) + t(f).\nAnswer: f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-10))\/(1 + 2) - (-99)\/405. What is the second biggest value in -1, -0.5, -2, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -137 - -140. Suppose b + y + 2 = 0, -b + 4*b = -2*y - x. Which is greater: b or 1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 53*w - 32*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50 - 44*m + 24*m**2 + 4*m**3 - 26 - 8*m**3.\nAnswer: -4*(m - 3)*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 5 (c) 2\/3 (d) -5600.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2)*1*-4. Let t be (28\/2)\/(f\/(-1)). Let g(c) = -5*c + 19. Let b be g(-6). What is the highest common divisor of b and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11212 (base 4) in base 3?\nAnswer: 111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12\/81)\/(-18*14\/189)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 19*g - 16*g. What is the closest to 1\/4 in g, 19, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-247)\/52*10\/2. Let t = 47\/2 + x. Let w = -3 + 3.1. Which is the closest to w? (a) 0 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -19*v**2 - 3*v - 4. Let w(z) = 3*z**2 - z. Let u = -93 - -92. Let h(c) = u*g(c) - 2*w(c). What is the second derivative of h(r) wrt r?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 33*q**2 + 5302*q**2 + 1065*q**2. Let y(h) = 5*h**2 - h - 1. Let r be y(-1). Let m be w(r). Round m to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 1356*g**2 + 2724*g - 1364.\nAnswer: -4*(g - 1)**2*(g + 341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 30 = -f - 3, 5*f - 3*l = 70. Calculate the remainder when 1273 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from tqutqjp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**4 - 3 + 4*a**2 - a + 2*a**2 + 3*a**2 - 7*a**2 to the form p + t*a + h*a**4 + i*a**2 + l*a**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 876*0.2\nAnswer: 175.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.84 - -2.34. What is the biggest value in 4, -1\/4, z, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 1064550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 47*z + 205. Determine f(-6).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from {c: 1, m: 1, i: 1, p: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126.7 + -117. Let t = -21.3 - x. Let q = 30.5 + t. Which is the third smallest value? (a) 3 (b) 6.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 5*z**3 + 4*z**3)*(2 + 0 + 1) - 636*z**3 - 631*z**3 + 1223*z**3.\nAnswer: -38*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 548*j + 1. Let x be s(-1). Let h = 2744\/5 + x. Let g = 689 + -1323\/2. What is the common denominator of g and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 76*t + 8 - 18*t - 17*t - 18*t - t**2 - 20*t. Let c(o) = -o - 4. What is -3*a(d) - 5*c(d)?\nAnswer: 3*d**2 - 4*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*u = -235, 0*u - 3*u = c - 140. Let r = c - 118. Put r, -3, -1 in increasing order.\nAnswer: -3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -14*r**2. Let s(b) = -2*b**2 + 633459*b + 2. Determine s(g(p)).\nAnswer: -392*p**4 - 8868426*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -100100010?\nAnswer: -100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/9))**(-9\/5))**(-3\/7) assuming k is positive.\nAnswer: k**(-6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 287 + -283. Solve -f + 6 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxxp when four letters picked without replacement from {x: 3, p: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from {d: 12, o: 2, w: 5}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/170)\/(23721\/(-39535)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/3 + 4*c**2 + 7*c + 10\/3 = 0. What is c?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1196496 by 42.\nAnswer: -28488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*n + 27780, -22185 = 4*n + 5*v - 77742. Is 28 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -262 - -751. Suppose 5*i - 2*a - k = 0, 0 = 3*i + 2*a - a - 300. Calculate the highest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101*d**3 + 25*d - 15*d + 2425*d**2 - 10*d - 81*d**3 wrt d?\nAnswer: -1092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdsgdtssidicsg. What is prob of picking 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 2 - 9)*(-3*h - 11*h - 12*h + h) to the form z + s*h and give s.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33178368617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 440 - -8019. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 631532 and 704?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/4 + 4\/(-8). Suppose -5*x + 2*g - 120020 = -c*g, 0 = -3*x + 3*g - 72015. What is x rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -4. Suppose -j*z - 2*y + 5*y + 192 = 0, -4*z - 2*y + 136 = 0. Round z to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7*y = -1050. Let r be 170\/y - 2\/(-10). Is 0 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2736) + -3 + sqrt(2736) - (sqrt(2736) + (-1*sqrt(2736) - sqrt(2736)) + 4))**2.\nAnswer: -360*sqrt(19) + 24649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81748184, 81748191, 81748198?\nAnswer: 81748205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**5\/20 + 5*l**4\/12 - 5*l**3\/2 + 12*l**2 + 21*l + 1. What is the hundreds digit of z(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**1*t)\/t)\/t**(-6))\/(t\/(t**1\/t))**14)\/((t*t\/t**(-2\/5))**(1\/4))**(-2\/109) assuming t is positive.\nAnswer: t**(-3809\/545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 2:25 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - v**2 - v + 3. Let b be d(0). Suppose -b*i + 24 = h, -3*h = -2*i + 5*i - 72. Solve 5*f = -h + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1174, 1138, 1116, 1120, 1162?\n\"Answer: 2*r**3 - 5*r**2 - 35*r + 1212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 852*v - 850*v = -64. Are v and -35 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95062067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)*x*x**(1\/9)\/x)**(-9)*(((x*(x**(-4)*x)\/x)\/x)\/x**(-3))\/(x**(-1\/3))**(-2\/61) assuming x is positive.\nAnswer: x**(718\/1281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 14 = m, 3*h - 5*m + 4*m = 7. Suppose 0 = 4*x + x - 15. Let p be 5 - (x + 2 - h). Solve 2*z = q - 4 + 11, -p*q = -z + 16 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -374 + -301. Let t = w - -674.99999519. What is t rounded to seven dps?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1052 + 2475. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -39, 1 in increasing order.\nAnswer: -39, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 12:38 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6780306 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4 = 0, 3*z - 8 = 2*a - z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -10. Let k(i) = -i - i + f*i. Let x(v) be the second derivative of v**3\/2 - 57*v. What is x(k(g))?\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 918086.6216.\nAnswer: 918091.6216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 73*w**2 - 2*w + 226. Let v(q) = 2*q. Give v(s(j)).\nAnswer: 146*j**2 - 4*j + 452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85 - -90. Solve 4*m - 4 = -2*y, -j*y = 5*m - y - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 + 13*w + 19. Let p be y(-6). Suppose 0 = -0*v + 4*v + l - p, 43 = 4*v - 5*l. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 6 - 31. Solve 0 = v*t - 14 + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/12 + (-45)\/(-54). What is the closest to 2 in z, -0.4, 1\/18?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6136 - 5632 = -63*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1269 = -3*b, -5*b = -7*y + 11*y - 2123. What is the remainder when b is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 - 14*w**3 + 0*w**3.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(3\/(18\/6)))\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = z + 70, -r + 5*z - 7*z = -31. Solve 0 = 19*k + r*k + 190 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(64) + (sqrt(64) - ((2*sqrt(64) + sqrt(64))*6 + sqrt(64))) + sqrt(64)*-2*1)\/(sqrt(22)\/(sqrt(22)\/sqrt(32))) + 3.\nAnswer: -19*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86269\/16140 + -4\/807. Let z = 3\/610 - -27121\/4880. Calculate the common denominator of z and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k - 6. Suppose 23*d + 57 + 58 = 0. Let j(s) = 7*s - 7. Determine d*j(a) + 6*z(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 19*u + 245 = 0. What is the greatest common divisor of u and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*v - 196 + 571, 0 = -5*v - 5. Let u = l - -411. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6\/7*c + 6\/7*c**2 + 2\/7*c**3 + 2\/7 = 0. Calculate c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + (-19 - -15) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4949 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 11 - (0 + -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 1\/2*a**2 + 9\/2 + 5*a = 0?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 16, i: 4}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 7. Suppose 0 = -2*p + y + 8, -3*p + 4 + r = -y. Differentiate 5*a - p*a**2 - 5*a + 2 with respect to a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 55 = 4*l. Suppose -16*d = -l*d + 332. Let q = 675 - d. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 7*p = 2*p - 21, 5*p + 25 = 0. What is the least common multiple of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*o - 22*o - 25*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/12*2\/10. Let b = -272.9 - -273. Sort 5\/3, 2\/7, b, x in ascending order.\nAnswer: b, 2\/7, x, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 456497*l**2*n**2 - 140*l**2*n - 2*l**2 + 196*l*n**2 - 2*l*n + 4246*l - 2*n - 1 wrt n.\nAnswer: 912994*l**2 + 392*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(7) - ((sqrt(7) - 1*sqrt(1008)) + sqrt(7))))**2.\nAnswer: 44*sqrt(7) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 94523026 and 5414?\nAnswer: 94523026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -105045218, -105045219, -105045222, -105045227, -105045234, -105045243, -105045254?\n\"Answer: -t**2 + 2*t - 105045219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -75, -2.4, 2\/3?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.07 (b) 26 (c) -29.7 (d) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 0*k**5 - 1\/6*k**6 + 0*k**3 + 3*k + 0*k**2 + 0 - k**4. Find the third derivative of l(h) wrt h.\nAnswer: -120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/1*3\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**2 + 4*b**2 + 2*b**2)*(-31 + 12 - 17 - 2 + 2 - 2 - 4 + 2 + 4 + (-2 + 1 + 3)*(2 + 3 - 3) - 1 + 7 - 1) to v*b + z*b**2 + f and give z.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-27545)\/15 - (-4)\/6. Which is smaller: o or 1843?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4680\/81)\/65*9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(10\/6 + -2) + 46 + 334. Solve c + 383 - h = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 + -2 - (-103 + -25). Suppose 0 = -26*a - 6 + b. Solve -5*l = 5*r - 15, a*r - 2*l + 10 = 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-820)\/(-1025))\/((-3)\/(-180)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**2. Let b(k) = -246*k**2. Give b(y(i)).\nAnswer: -8856*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1777*l - 259037 = 16062*l - 455962 - 1265873 for l.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/(-4))\/(4\/(12 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 126862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 8:44 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 7. Suppose -3*v - 10 - 44 = s. Let t = v + 20. Calculate the least common multiple of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 97*t**2 + 3*t**2 + 646 - 47*t**3 + 42*t**3 wrt t?\nAnswer: -15*t**2 + 200*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51740 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -142.666 to zero dps.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 8*l**2 + 8*l + 10. Let t be m(-7). Suppose 2*a + 4*s + 2654 - 10646 = 0, -t*a + 4*s = -12008. Round a to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 1)*(-1192)\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1344000302 + 1?\nAnswer: -1344000301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 355 = 2*i - 21, 4*i + 5*o = 752. Calculate the remainder when i is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15736335503407 from -2.\nAnswer: -15736335503409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 20.796251 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34393 and 3252987?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(198)*-1*-5 + sqrt(198))\/((sqrt(54) + sqrt(486))\/sqrt(9)))\/(sqrt(110)\/(sqrt(60)\/sqrt(6)) - ((sqrt(11) - sqrt(44)\/sqrt(4))*-3 - sqrt(11))))**2.\nAnswer: 27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1 - -2) + 39 + -50?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (-32 - -49) + -28.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13*a**3 + 2*a**2 - 1. Let n be b(-1). Let o(q) = q + 48. Let u be o(n). Calculate the greatest common factor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -122 + 4?\nAnswer: -11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18087 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 11*t + 9. Suppose -4*x + 60 = 2*x. Let n be w(x). Which is the closest to 0.1? (a) -4\/9 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330013232 (base 4) to base 15.\nAnswer: 4ce6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -19570*b + 97851. Give o(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1824*w - 38998 - w**2 - 55545 + 146431 + 5*w**2 + 156048 = 0. Calculate w.\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -3*s + 33. Let z(l) = l**2 + 16*l + 11. Let x = 5 + -3. Let u(f) = 5*f - 3*f - 5*f - 2. What is s*u(q) + x*z(q)?\nAnswer: 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 667 and 9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 20.027803\nAnswer: -4.0055606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8455417 + -0.5474.\nAnswer: 8455416.4526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -13*k**2 - 9*k + 5. Let m(n) be the first derivative of n**3 + n**2 - n - 17. Determine 4*b(d) + 18*m(d).\nAnswer: 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19224 + 1364884\/71. Calculate the common denominator of -38\/3763 and r.\nAnswer: 3763","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2087\/1053 + -416\/81. Find the common denominator of f and 6\/857.\nAnswer: 11141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34472 (base 8) to base 2\nAnswer: 11100100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 w, and 2 t when four letters picked without replacement from fwtwtf.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 253\/(-198) - (-4)\/(-18). What is the third biggest value in -1, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -13, -52, -117, -214?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 760119*r - 118*r**2 + 760119*r.\nAnswer: -118*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0 - 11\/42*y**4 + 0*y - 172*y**2 - 1\/105*y**5 + 8\/7*y**3. Factor u(x).\nAnswer: -4*(x - 1)*(x + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, v: 2, m: 3, r: 2, d: 1}. Give prob of sequence vm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(228) - (sqrt(228) - (sqrt(228) - sqrt(228)*1)*5))\/(2*sqrt(84)\/sqrt(7) - sqrt(972)*2)*2.\nAnswer: 13*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93401 + 140844. What is the thousands digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 130732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*s + 13*q - 9*q, -4*q + 146 = 5*s. Suppose 5*n - l = -4*l + 125, -n = -3*l - 25. What is the remainder when s is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 4*t - 12*t)*(5*t - 2*t - 2*t)*((2*t - 2*t + 3*t**2)*(t + 1 - 1) + 11*t**3 - 10*t**3 - 12*t**3).\nAnswer: 112*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**3\/i)*i)\/(i*i**(-2)*i))**(-39)*((i\/(i**(-1\/4)\/i))\/(i\/(i\/(i*(i*i*i\/(i\/(i*i**4))*i)\/i)*i)))\/(i**2\/(i\/(i*i*i**0*i))) assuming i is positive.\nAnswer: i**(-191\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/a**(-30))*a\/(a**2*a) assuming a is positive.\nAnswer: a**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 16. Let k = -4 - x. Suppose 0 = 5*s - 6 + k. Solve v - 2*v = -s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*s**3 - 3*s**3 - 3*s**3 - 154*s**5 - 263*s**2 - 530*s**2 + 5*s**3 wrt s.\nAnswer: -9240*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4)*(-40)\/(-15). Solve n = -3*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -9*b. Let s(j) = 2*j - 28. Let p be s(29). Suppose r + r - p = b. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z. Suppose 2*h - 4*k - 1620 = z, -h + 4*k = 12 - 812. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706 is divided by 89.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10053039 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25574*k + 211580 = 24166*k + 59516 for k.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from {e: 3, f: 1, l: 1, y: 1, p: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 269031 and 44436?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 + 0.03. Let d = -2 - 2. Let z = d - k. Which is the smallest value? (a) z (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/4)*d)\/d)**(-3\/14)*d**(-7)*d**(-7)\/d*(d**3\/d*d*d**6)**(9\/4) assuming d is positive.\nAnswer: d**(285\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - 47*h - 97. Calculate z(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -50*x**2 + 0 - 1\/12*x**4 - 10\/3*x**3 - 42*x. Suppose z(k) = 0. Calculate k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*o - 474. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*d**5 - 577*d**4 + 1328*d**2 + 13035570*d wrt d?\nAnswer: 140*d**3 - 6924*d**2 + 2656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8579424299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7390, -0.02, -1 in ascending order.\nAnswer: -1, -0.02, 0, 7390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 5*r - 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 47*n - 50*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/34 and 31\/14?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*s = 73*s - 460. What is the remainder when 145 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -1\/2 (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5460446589?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -14*m**2 + 9*m - 98. Let k(f) = -11*f**2 + 7*f - 97. Give -5*k(w) + 4*n(w).\nAnswer: -w**2 + w + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = -31*x + 13494. Let y = 2354 - x. List the prime factors of y.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*q + 28*q + 76*q + (3*q - 2*q - 3*q)*(-6 + 2 + 2)*(38 - 20 + 0).\nAnswer: 148*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*p**5 - 9174556*p**3 - 145*p**2 - 274383*p wrt p?\nAnswer: 180*p**2 - 55047336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g + 8*g)*(6*g**2 + 11*g**2 - 17*g**2 - 25*g**3).\nAnswer: -200*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 129483037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10566.5 + -10567. Sort 3\/5, 5\/4, v, 0.4 in ascending order.\nAnswer: v, 0.4, 3\/5, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u**3 + 3*u + 5*u**3 - 11*u - 2 in the form z*u + o + t*u**2 + b*u**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - 8\/(-3 + 1). Let a be (3 + x)\/(4\/132). List the prime factors of a\/9 - 3\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -105*f + 73. Let t(y) = -35*y + 25. Let d(s) = 4*o(s) - 11*t(s). Let v(b) = -17*b + 8. What is 6*d(i) - 13*v(i)?\nAnswer: 11*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064856460 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2708595, -5417176, -8125757, -10834338?\nAnswer: -13542919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by 214.\nAnswer: -17\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 2*f + 40. Suppose 2*p = -2*l, -3*p + 2*l = -0*l. Let c be o(p). Suppose 0 = 4*r - 2*r + 2, c = 3*z + 5*r. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3668*d**2 - d + 8*d - 5*d + 3796*d**2 - d.\nAnswer: 128*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + s = m - 12, -22 = -4*m - 3*s. Let c(a) = 4*a + a - m*a - 3*a. Let o be c(-4). Solve 2*n - 5*x = n - o, -16 = 5*n - x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 632 + 2?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5*y + 45 = 0. Let q be (-4)\/12 + (-6834)\/y. Let z = q - 370. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7\/11 (b) -3\/4 (c) 1\/3 (d) -2\/93 (e) 267\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32883785?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 12*c - 106*c = 227*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-10)\/(-20)*(-6)\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*((-1)\/3 - 4\/24). Let b(y) = 3 + 0*y + 4*y + q*y + 1 + y**2. What is b(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89154 divided by -6858.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1088.5 - 1088. Let t = 0.851 - 0.79. Which is the smallest value? (a) t (b) -0.5 (c) s (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u + 27. Let i be y(12). Let x = -23.6 + 24. Which is the nearest to 1? (a) 3\/5 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 13*f**3 - 4*f**2 - 16*f + 2. Let d(x) = 7*x**3 - 2*x**2 - 8*x + 1. Let v(k) = -11*d(k) + 6*t(k). Calculate v(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.081813 millilitres to litres.\nAnswer: 0.008081813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/(1\/(-3)). Suppose l - 4*l = -5*y - 21, p*l + 8 = -4*y. Suppose -2*g = l*g - 32. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 11 = 13. Let w = o - -10. Let i(q) = -q + 9. Let g be i(4). Solve 0 = g*n + d - 12, -17 = -2*n + 5*d + w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/2 and -33\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 0*k + 2\/455*k**7 - 12*k**2 - 1\/2184*k**8 - 7\/390*k**6 + 8\/195*k**5 - 3\/52*k**4 + 0 + 2\/39*k**3. Find t such that g(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.5291 months in centuries?\nAnswer: 0.10627425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 277 + 143?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(32\/60))\/(2\/8). Suppose -u = 2*f + 6. Round f to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17 - -19)*(19\/2)\/(2\/11246) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 26 = -1. Let h(k) = k**3 - 3*k**2 + 3*k - 6. Determine h(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45192.0494 rounded to the nearest one thousand?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 1305*y - 5200. What is the remainder when 220 is divided by w(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0233 from 0.2.\nAnswer: 0.2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + (-55 - -59).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2131 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.314493 rounded to 3 decimal places?\nAnswer: 4.314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f - 22. Let h be s(10). Solve 0 = 4*r + n, r - h = -r + 4*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) 5\/3 (c) -5 (d) 0 (e) -0.18 (f) 87 (g) 143\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**4\/5 - 31452*r**3\/5 - 2060492*r**2\/5 - 16250772*r\/5 - 14221728\/5 = 0?\nAnswer: -7797, -57, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*f - 3*z, -2*z = 3*f - 23 + 35 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1 + sqrt(80) + 3 + (-3 + sqrt(80) - sqrt(80)) - -2*-1*(sqrt(80) + (sqrt(80) - sqrt(80)*4))))**2.\nAnswer: -160*sqrt(5) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010001001 + 10?\nAnswer: 100010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 300213.\nAnswer: 1200852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**11\/f)\/(f\/(f**4*f)))\/(f*f**(-9)*f\/(f*(f\/(f*f\/(f**(-10)*f)))\/f)) assuming f is positive.\nAnswer: f**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 143, 176, 91, -112, -433, -872?\n\"Answer: -59*a**2 + 210*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 752068670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-22))\/(1481\/16291)*-17.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-18)*r)\/r)**(1\/12) assuming r is positive.\nAnswer: r**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*h + 136, -h - 4*p + 100 = h. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3835, 3827, 3819, 3811, 3803?\nAnswer: 3795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 3 - (-3)\/(-3). Let g(b) be the third derivative of 0 - 2*b**2 + 0*b + 1\/3*b**r + 1\/24*b**4. Give g(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1340233986, -1340233985, -1340233984, -1340233983?\n\"Answer: w - 1340233987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57 + 55 - 163 + 51 - 3057*i to the form p*i + t and give p.\nAnswer: -3057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.03, 0.03, -0.2, 0.0586.\nAnswer: -0.2, -0.03, 0.03, 0.0586, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3454 - 1890. Suppose b = -2*q - b + 782, m = 4*q - 5*b. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 500*q**2 - 16*q**3 - 12*q**3 - 520*q**2 + 20*q**2.\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.65575 rounded to 1 dp?\nAnswer: 49.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 6*b**2 - b - 1. Let k be d(-6). Let f = k - 2. What is the greatest common factor of 24 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 372 = 8*z. Calculate the remainder when 269 is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1482 and 7209306.\nAnswer: 136976814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.136382 years?\nAnswer: 0.9136382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -5 (c) 7173 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*b, 4*o - 5*b + 23 = -2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 505 + 6787*u - 248 - 257 in the form l + w*u and give w.\nAnswer: 6787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-82)\/((0 - 1)*7\/21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1946658 or -1946668?\nAnswer: -1946658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 626*d**2 - 631*d + 2485. Determine h(627).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**2*n**5 - 97290*i**2*n**4 - 23461*i**2*n**2 - 4*i**2*n - i**2 wrt n?\nAnswer: 60*i**2*n**2 - 2334960*i**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 + 31 - 17)*(o**2 - o**2 + 3*o**2 + (4*o**2 - 2*o**2 - 3*o**2)*(0 - 2 + 4) - 4 - 2*o**2 + 4 - o**2 + 5*o**2 - 2*o**2) + 0*o**2 + 0*o**2 - 2*o**2.\nAnswer: 90*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -255 - -556. Let p = s - 300.7. Which is the nearest to 2? (a) -5\/2 (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 108, 189, 244, 273?\n\"Answer: -13*l**2 + 120*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-448)\/63 - (-17514)\/(-567).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/7 - 9788*x**2\/7 + 19570*x\/7 - 9784\/7 = 0. Calculate x.\nAnswer: 1, 4892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -178 - -180. Suppose 5*h = 2*j + g*j - 41765, -4*h = -5*j + 52213. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, q: 7, k: 2}. What is prob of picking 2 k and 2 q?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-12) - (-15)\/(-36). Let o = -11 - -7. Which is the nearest to s? (a) -4\/7 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 34. Let a(u) be the third derivative of 0*u**3 + 0*u**5 + 1\/525*u**7 + 0*u**4 + 0 + 2*u**2 + 0*u + 0*u**o. Factor a(x).\nAnswer: 2*x**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1134, -928, -300, 984, 3158, 6456, 11112?\nAnswer: 17360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 376275, 751152, 1126041, 1500948, 1875879, 2250840, 2625837?\nAnswer: 3000876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 595, 4620, 15559, 36868, 72003?\n\"Answer: 576*s**3 + s**2 - 10*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 1280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 14. Let v = 8714 + -8713. Which is the third biggest value? (a) -11 (b) 2 (c) j (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126235527 divided by -407?\nAnswer: 310161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.055 * 8722.\nAnswer: -479.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 896942545 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -3*i - 0. Let s = -4 + i. Calculate the remainder when 39 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-33)\/(-44))\/((-10)\/8). What is the closest to 0 in -2, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 94920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 4*j + 3. Let a be q(4). Suppose a + 0 = r. Let n(w) = -r*w + w**2 + 3*w. Let i(g) = -g**2. Give i(n(f)).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, u: 3}. Give prob of sequence ut.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 643241808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 - 2 - 13*t + t**4 + 16*t + (-7*t - 1253 + 1253)*(2*t**3 - 5*t + 5*t) + 3*t + t**4 - 3*t.\nAnswer: -11*t**4 + 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 54*s - 53*s. Sort 4, -5, s.\nAnswer: -5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 21*g**2 - 3*g**3 + 0*g**3 + 16 - 28*g + 2*g**3. What is the remainder when f(19) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:46 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 5*r - 18*r**2 - 4*r - 189 - 291.\nAnswer: -18*r**2 + 2*r - 480","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -143\/35 + 23\/7. Let y(p) = -2*p. Let f be y(1). Is h > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 5 = 3*p. Let m(w) = w**2 - 11*w + 15. Let y be m(p). Suppose -2*s = 3*j - 129, 0*s - 5*s = y. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*t**2 - 296*t + 3798.\nAnswer: -2*(t - 9)*(7*t + 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107555 and 680.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 3 + 4)*(3 + 11 - 21)*(5*c**2 - 5*c**2 + 4*c**2) to x*c**2 + d*c + k and give x.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**2 - 9*t + 2. Let a = 6 - -1. Let s(v) = -3*v**2 - 3 + 164*v + 2 - 159*v. Suppose -5*k + 2*k = -12. What is a*s(z) + k*j(z)?\nAnswer: -z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 598 in increasing order.\nAnswer: 1, 5, 598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5*2\/75 + 118\/(-210)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4362, -5894, -7458, -9066, -10730, -12462, -14274, -16178?\nAnswer: -18186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 271176.6 nanometers in millimeters?\nAnswer: 0.2711766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r**2 - 5*r - 19. Is x(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65022*a**3*w**3 - a**2*w**3 - 49924*w**3 wrt a.\nAnswer: 390132*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 60 = r. What is r rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*q + 3*s, 3*q = 3*s + 238 - 223. Sort -2, -63, -3, q in increasing order.\nAnswer: -63, -3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t**2 + 0*t + 0 + 56\/9*t**4 + 2\/9*t**5 + 40*t**3 = 0.\nAnswer: -18, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*w + 34*w + 103 - 454 + 123 + 228.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 11*s - 20 = 0. Suppose 7 = 2*c - s*u + 1, -4*c = -2*u. Let f(b) = 45*b**2 + 1. Does 13 divide f(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -f - 5*z, 4*z + 12 = 3*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 4 - 5)*(0 + 0 - 5*d)*(-2*d - d**2 + 2*d) to t + u*d + m*d**2 + q*d**3 and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.13, -3\/2, 17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 88\/6 + 10\/(-15). Let p be 6472\/w + 12\/(-42). Let b = p + -227. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 63*z**2 - 608*z + 9. Calculate d(7).\nAnswer: -1160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 5*b - 1. Let u(c) = -3*c + 0*c**2 + 0*c**2 - c**2 - 1. Let i = 6 - 1. Let z(a) = i*u(a) - 3*o(a). What is the first derivative of z(r) wrt r?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5*c - 2785 + 2802 = 0, 3*g - 8 = 4*c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 349 = 223. Let m = i + -95. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**4\/6 - k**3\/2 + 16*k**2 + 2. Let m(q) = -3*q - 3. Give 6*m(y) - 5*t(y).\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y - 10*y**3 - 11*y**3 - 1 - 47*y**2 + 25*y**3 - 5*y**3 + 4*y**3 as m*y**2 + s*y + p + l*y**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 2\/(-5))*-15. Solve 0 = -3*v - 5*q - 17 + 52, -v - q = -i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -9 + 7 + -15 + (38 - -5)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*t + 52*t = 0. Suppose 4*n + 6*a = 10*a + 168, 2*n + 2*a - 92 = t. Let m(y) = 132*y**2 - y. What is the remainder when m(1) is divided by n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*m + 4*m + 5*h + 9, -2*m - 2*h = -2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -822616 (base 9) to base 14.\nAnswer: -c9917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2048525.\nAnswer: 5, 67, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/12 and (160\/36)\/((-4)\/6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*d**2 - 2735 - 53*d - 18*d**2 - 72*d - 21*d**2 wrt d.\nAnswer: -16*d - 125","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31881?\nAnswer: 3, 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 0)\/(176\/(-33)). Let u be 7\/(-14)*(3 + -5). What is the closest to u in i, -2, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -180 in 0, -3, 12, -1\/2, 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 y, and 2 x when four letters picked without replacement from {m: 2, r: 1, s: 3, y: 2, x: 6, c: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 11*a**2 + a - 2. Calculate g(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287320 is divided by 2902.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34074 - 34048. Solve -u - 5*c - 17 = 0, -29*u + 1 = -f*u + 2*c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168097015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53251 and 58916?\nAnswer: 2769052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -2\/165, 1\/5, 4, 0.6, -27\/4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + 4*x - 3*x)*(-1 + 1 + 2*x)*(-4 + 1 + 2)*(-31*x - 4*x - 4*x) - x - 5*x**3 + x as t*x**2 + d*x + z + u*x**3 and give u.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-376)\/(-36) - -1 - 4)\/(90 - 22493\/249)\nAnswer: -67\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 2*m - 2. Let b(x) = 3*x**2 - 7*x + 7. Let n(k) = 4*b(k) + 14*y(k). Let a(i) = -88*i**2. What is a(n(q))?\nAnswer: -352*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-3)*(-153)\/(-510)*-8.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.947734mg in kilograms?\nAnswer: 0.000003947734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -650176\/13 + 49976. Is h less than or equal to -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4347 - 0.32\nAnswer: 1.1147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/3 + ((-90)\/15 - -8). Is 6\/1069 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 3, 117 in decreasing order.\nAnswer: 117, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*t**5 + 2*t**4 - 50*t**3 + 74*t**2 - 24*t.\nAnswer: 1320*t**2 + 48*t - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 x, and 1 t when four letters picked without replacement from xtxttaththxakxxv?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -1)\/(3\/2 - 1). Let w be 5 - (1\/j*2 + 0). Let 336*r**w + 42*r**2 - 70*r**2 - 12 + 132*r - 431*r**2 + 408*r**3 = 0. What is r?\nAnswer: -2, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42\/(2 + 3\/(-6)). Suppose -31*u = -q*u + 18. Let a be ((-9)\/15 - u\/10) + 5. Solve 0*k = 2*k - 4*z, -a*z + 11 = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -86683*q - 12222309. Give c(-141).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -18. Suppose -5*x = g + 13, 2*x - 17 = 6*x + 3*g. Put i, 3, x, -4 in decreasing order.\nAnswer: 3, i, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - -54. Let d = y + -93. Suppose -3*i = -2*i + 5. What is the closest to 0 in d, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1045.5 + -1045. What is the second smallest value in p, 7, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/10)\/(2\/10). Suppose -5*o - 4*o + 1287 = 0. Suppose 0 = 6*r - o + 143. Solve -4*f = -3*w - 3, f - z*w = 17 - r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*y + 5, 4*h = y + 15. Solve h*c = 2*r - 0*c + 9, 2*c = 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.343374 to two dps.\nAnswer: -4.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 327\/4 (b) -9 (c) -0.14 (d) -4 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -36, -75, -134, -219?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 6*x + 6. Let v be f(-5). Suppose w + v = 0, 28*w = 5*g + 29*w + 16. Put -5, g, -9, 4 in descending order.\nAnswer: 4, g, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25566, 25454, 25342?\nAnswer: 25230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 1, f: 1}. What is prob of sequence fk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*b**5\/7 - 174*b**4 + 1967976*b**3\/7 - 330436128*b**2\/7 + 230136960*b - 1282489344\/7 = 0. What is b?\nAnswer: -744, 1, 4, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from csssffssccssc.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*n**4 - 1053*n - 2*n**3 + 1051*n - 11 to the form z*n**2 + l + h*n**3 + q*n**4 + c*n and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 14. Solve 8*t = q*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5626*i - 4023*i**3 + 5626*i.\nAnswer: -4023*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**3 + 3*t**3 + 8*t - 4*t + 6*t - 2*t**3 to f*t + d*t**3 + s + j*t**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -12*y**2 + 2*y - 1. Suppose 0*m = 4*t - m + 12, -12 = 4*t + 5*m. Is a(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 18*p - 479. Is d(60) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -505\/54 - -170\/27. Let a = r - -10\/3. Find the common denominator of a and -119\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43595?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/945 and 35\/4?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6 = -q, 3*q - 7*q + 4 = -2*v. Suppose -2*n + 13 = -j, 2*n - 28 = 5*j - j. Find the third derivative of 7*z**6 - n*z**6 - 3*z**v + z**6 wrt z.\nAnswer: 480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143607288352 - 71\nAnswer: 143607288281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, 3, 8, -11406.\nAnswer: -11406, -188, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 1 = -5*c, -o - 4 = 5*c - 0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.14 and 325 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -32900?\nAnswer: 65800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 75\/4? (a) -11 (b) -0.54 (c) -3 (d) 0 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -3*m - 15, -j + 5*m - 3 = 3*m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.4014 - 17.60673. Let q = -2.8 + l. Round q to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 7*g + 6. Let w be b(8). Let s be (-24)\/(672\/(-98))*(-4)\/(-7). Put 32, w, s in decreasing order.\nAnswer: 32, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -833*y + 3*y**2 - 1 - y**3 - 5*y**2 + 431*y + 416*y as s + q*y + c*y**2 + n*y**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -5. Let u be (0 - p)\/((-2)\/(-48)). What is the units digit of (2\/(-4))\/(2\/u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**0*s**5*s**8\/(s*s**(5\/6)*s*s))**15 assuming s is positive.\nAnswer: s**(305\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 1:00 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*w - 279*w + 216*w + 5 - 5.\nAnswer: 106*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*x + 140*x - 70*x - 13 - 3 + 88*x as d*x + t and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, -4, -3.53, -7\/19?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 4. Let w = k - -5. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 3 + 3)\/(1 - 0). Suppose 4*q + 2*l + 25 = 5*q, -k*q - l + 68 = 0. Suppose 3*d - 62 = 5*o, -2*o + d + 2*d - q = 0. Is o != -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/15)\/((-9)\/(-54)). Let u(g) be the first derivative of -g**2 - 2*g + 6. What is u(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1480 and 1080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 6*d**2 + 9*d - 9. Let x be m(7). Suppose 2*w + 2*w - 16 = 3*z, -x*w = -20. Suppose z = 2*n + 2*n - 248. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f**3 - 26*f**2 - 33*f + 24. Let d(s) = 10*s**3 + 39*s**2 + 49*s - 36. Let z(w) = 5*d(w) + 7*r(w). What is the units digit of z(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10142106 and 312?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -541 - -536. Sort 3, 1, p, -14 in increasing order.\nAnswer: -14, p, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {t: 3, d: 9}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, e: 2, z: 2, n: 7}. Give prob of picking 2 e and 1 z.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2) - (-20)\/4. Suppose 2*s + 32 = h*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + (-3*(-3*sqrt(75) - sqrt(75))**2 + sqrt(75) - sqrt(75))*1.\nAnswer: -3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g + 5. Let t be 2\/(-12) - 830\/(-12). Suppose 2*i + 193 = 5*v, t = 3*v + 4*i - 26. Let l = v - 26. Let o(a) = -a + 2. Determine l*o(n) - 4*x(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 174080.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -3*g**7\/7 + 71*g**6\/2 - 53*g**3 - 394. Find the third derivative of b(z) wrt z.\nAnswer: -360*z**3 + 12780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from {p: 3, v: 7, l: 2, t: 5, a: 1}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -11, 40, -5 in descending order.\nAnswer: 40, -5, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9965223809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 7*i + 7. Let x be c(-6). Let w be ((0 - 2) + x)*-48. Let z = w - 27. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48556, -48555, -48554, -48553?\nAnswer: -48552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6394 is divided by 6371.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 8*d. Suppose -5*s + 108 = -2*s - 4*q, d = 5*s + 5*q - 180. Suppose 1 = n, 4*m + n - s = 5*n. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9 at most as big as 0.358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-12) - 188630\/(-36). Let m = -5234 + v. Find the common denominator of m and -20\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -229 + 228. Let u be -4*4\/(256\/(-12)). Which is the nearest to 4? (a) u (b) j (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 40*t + 2863. What is x(-73)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4691682.\nAnswer: 2, 3, 28961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 15*c**3 - 20*c**2 + 28*c - 33. Let w be r(14). Let y = -21628 + w. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**3\/5 - 2133*g**2 + 181016*g\/5 = 0.\nAnswer: 0, 17, 10648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-30))\/(28\/(-10))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171032 take away -20.222?\nAnswer: 1171052.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (75 - 23 - 37 + 3*n)*(1 - 3 + 0)*(n + 2*n - 2*n) in the form q*n + m + d*n**2 and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 8a1a?\nAnswer: -8a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1677 and 387.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 17, 2\/5, 0, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 728070059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 753 - 18002 = 4*b, 4*b = -20. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Let k(z) = 5*z. Let h(y) = 3*k(y) + 6*l(y). Let f be h(-6). Round f to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30497605261 - 0.02\nAnswer: 30497605260.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 67195 at most 66810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - q - 1 = 0, 4*q + 25 = -q. What is the tens digit of (-1 + m - 0) + 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5840\/7 smaller than 835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/231 and -10\/27.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 6. Give h(18).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -68. What is the remainder when y is divided by (-200)\/((-25)\/5) - 4?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 9*q + 10. Let g be d(-8). Suppose g*k - 3*x - 2*x - 58 = 0, -62 = -3*k - 5*x. What is the remainder when 47 is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*z**2 - 184*z - 12*z**5 + 4*z**3 + 184*z - 16*z**4.\nAnswer: -4*z**2*(z + 1)**2*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 329?\nAnswer: 329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2686*i - 21484. Calculate t(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -797*h**6\/40 - h**5\/30 + 1897*h**4\/12 + 2*h**2 + 13*h + 2. What is the second derivative of y(j) wrt j?\nAnswer: -14346*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -27. Let w(d) = 18*d**2 - d + 2. Let v be 40\/22 - (-8)\/44. Let c be w(v). What is the greatest common divisor of o and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s**3 - s**2 - s. Let q be x(-1). List the prime factors of 2\/2 + -2 + q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 10:21 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49800241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 12*l + 9*l + 2*l - 16*l**2. What is the hundreds digit of h(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -4*r - 6*q + 4, -4*r - 3*r + r - 6*q = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4642\/3 - 1524. Let k = 1\/151 + 2258\/1057. Find the common denominator of k and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -92*w + 4. Let g be (14*(-4)\/(-56))\/((-1)\/3). Let y be x(g). Calculate the highest common divisor of 70 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**4\/8 - 3*g**3\/2 - 6*g**2 - 8*g - 11. Factor l(k).\nAnswer: -(k + 1)*(k + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106219?\nAnswer: 106219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-7 - -6 - (-2 + -7))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/9 - 4604*d\/9 + 4586 = 0. What is d?\nAnswer: 9, 2293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -19*n**7\/105 + n**4\/24 + 5*n**3\/6 + 14*n**2 + 4*n. What is the second derivative of z(u) wrt u?\nAnswer: -456*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (5 - 6))\/((-4 + 6)\/12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 190, 71, -54, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30514*t**2 + 152479*t**2 - 30495*t**2 - 30518*t**2 - 30517*t**2 - 30483*t**2.\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 148\/77 - 18\/11. Let f(h) = 3*h + 4. Let b be f(-4). Is m less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*x = -247*x + 512*x + 7462 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16721596?\nAnswer: 2, 19, 220021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1310008649 to the nearest integer?\nAnswer: 36194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 36.2. Let j be 14\/24 - 1\/4. Let w = -4 + 6. What is the closest to j in w, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52391 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(275)*2 + sqrt(275) + 3 - -2*sqrt(704)*6).\nAnswer: 1 + 111*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43.7 + 43.5478. Let a = m - 0.0478. Let c = 77\/85 - 12\/17. Sort a, 1, 0, c.\nAnswer: a, 0, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 10*j = 18 - 33, -3*c + 8 = 5*j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -16\/131 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 10:44 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1645.5 + 1642.5. Which is the nearest to 228? (a) o (b) 4 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160364 divided by 1.\nAnswer: 160364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -178, -182, -186?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/4)*g**(1\/14)\/g)\/(g*g**(1\/3))**46*(g**(2\/7))**20\/(g**8*g**6*g) assuming g is positive.\nAnswer: g**(-5947\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1384 and 512426?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 3 = 7*x. Let n be (2 - x\/(-1)) + -5. Let i be 2*(n + 6\/4). Put 2\/7, i, 4 in descending order.\nAnswer: 4, 2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 579865 and 473759?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 19*b**3 - 16*b**2 - 2. Let f(k) = 20*k**3 - 17*k**2 - 3. Let g(s) = -2*f(s) + 3*v(s). What is the third derivative of g(z) wrt z?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*b - 640, 0 = -b + 3*b - 4*w - 232. Suppose 3*f + 5*n - 117 = 0, 2*f - b = -f - 2*n. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + -86. Sort v, 0.3, 4, -5 in decreasing order.\nAnswer: 4, 0.3, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 65 = 3*m, m + l = 4*m + 49. Let r = 2 - m. Suppose -15 = -2*c + 53. What is the greatest common divisor of r and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 52. What is the first derivative of -q + 16 + 11*v**4 + 15 wrt v?\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101111210 + -11?\nAnswer: -101111221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by 71786.\nAnswer: 27\/35893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 391*x**4 - 18*x + 6430. Let m(c) = 389*c**4 - 15*c + 6430. Let d(j) = 6*m(j) - 5*u(j). Differentiate d(k) wrt k.\nAnswer: 1516*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (42\/(-56))\/(-2 - (-14)\/8). Differentiate -2*f**2 + 5*f**3 + 88 - 9*f**z + 2*f**3 - 83 wrt f.\nAnswer: -6*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 - 15*u + 15*u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25719207 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 553 - 1?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*sqrt(1152))\/(sqrt(400) + (sqrt(400) - (sqrt(400) + (sqrt(400) - (4*sqrt(400) + sqrt(400) - sqrt(400))) - sqrt(400))*-1) + sqrt(400) + sqrt(400)).\nAnswer: 18*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**4\/6 - 31*p**3\/6 - 4*p**2 - p. Suppose -1 - 48 = -3*j - 4*d, -13 = -j - 3*d. What are the prime factors of a(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -445, -976, -1709, -2638?\nAnswer: -3757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1985 - 0?\nAnswer: -1985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30*1*45\/(-150).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 6. Let h be m(-6). Suppose 3*t + 3 + 30 = h. Let x = t + 27. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 10. Solve 3*i = -4*c + 9, b*i + 5*c = 15 - 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151.2 + 156.2. Put -2\/195, z, 2, 6 in decreasing order.\nAnswer: 6, z, 2, -2\/195","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**3 + 3*u**2 - 7*u + 12. What is the lowest common multiple of s(2) and 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(5\/6)*i)*i)\/((i*i**14)\/i)*(i*i*(i*i**(1\/13))\/i)\/(i\/i**(-2)) assuming i is positive.\nAnswer: i**(-1151\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s - 0. Is (-11 + 12)\/(s\/10) - -4378 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(7*4\/14))\/((-11)\/(1463\/(-114)))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, w: 5, o: 4}. Give prob of picking 1 n and 1 o.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**5 + 2*c**3 + c**2 - 1. Let q(m) = -34*m**5 - 110*m**4 - 216*m**3 - 178*m**2 - 68*m. Let z(r) = 10*b(r) + q(r). Let z(t) = 0. Calculate t.\nAnswer: -5\/4, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y**2 + 1. Let v be 5\/(-2) - (-35)\/14. Suppose -2*a = 3*z + z + 6, v = -2*a - 3*z - 5. Calculate c(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -12*x**2 + 42*x**2 - 11*x**2 - 15*x**2 - 14*x**2. Let d(f) = 2*f**2. Give p(d(q)).\nAnswer: -40*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -298*c**3*t**3 - 17*c**2*t - t**3 wrt c.\nAnswer: -1788*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 23. Let h(g) = g + 12. Let l(f) = 11*h(f) + 6*r(f). Calculate l(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55788013 divided by 11797.\nAnswer: -4729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(66)\/(sqrt(12)\/sqrt(2)))*-1.\nAnswer: -sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k + 33. Suppose -33 - 11 = -4*f. What are the prime factors of q(f)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 31. Find the common denominator of j\/21*(-7)\/(-3) and -95\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18688 minus 15?\nAnswer: -18703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44460)\/51870*7\/36?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -22*x**2 + 13*x**2 + 7*x**2. Let z(k) = 36*k**2 - 34. Let w(h) = -h**2 + 1. Let v(m) = -204*w(m) - 6*z(m). Give j(v(r)).\nAnswer: -288*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**5)\/(q**(7\/6)*q))**(-2\/99))**3 assuming q is positive.\nAnswer: q**(37\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (4 + (-14 + 36 - -8)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - z - z - 7, 4*u - 2*z + 68 = 0. Suppose 3*s = -3*d + 6, 6*s - 1 = 2*s + 3*d. Find the common denominator of -9\/7 and (s\/2)\/(u\/1290).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3 = s, 5*b + 1 = -2*s + 31. Let q(l) = 89*l + 5. Is q(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 5*c - 20, 104*i + 67 = 142*i - 2*c - 111 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -3*f - 6, 2*j = -5*f + 4. Let c be -5*(52\/20 + j). Suppose c*a - 2*k = -0*k + 282, -2*a + 270 = 2*k. List the prime factors of a.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 342338 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**5 + 4*h**5 + 0*h**5 + (3*h - 7*h + h)*(-2*h**4 - h**4 + h**4) + 125*h**4 - 56*h**5 - 125*h**4.\nAnswer: -49*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((69\/(-45))\/23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -43. Let k = f - 16. Calculate the remainder when k is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*b**3*u**2 - 2*b**3 - 6*b**2*u - 4*b**2 + 2*b*u**5 wrt u?\nAnswer: -136*b**3 + 40*b*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 198.5 times 80?\nAnswer: 15880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 - -161.\nAnswer: 161.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0 + 10. Solve -12 = -v + 3*k, -y*v - 2*k + 0*k = 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 358996 and 112750?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-32)*x*x\/x**(-1\/52)*x*x*x**(-9\/8)*x**(2\/13) assuming x is positive.\nAnswer: x**(3749\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 14*k**3 + 1931*k + 8. Let y(r) = -10*r**3 - 1448*r - 6. Determine -8*o(w) - 11*y(w).\nAnswer: -2*w**3 + 480*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010111001110101110011 (base 2) in base 10?\nAnswer: -2858355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -966 or -964?\nAnswer: -966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b**4*b)\/b)*b)\/b*b)**43 assuming b is positive.\nAnswer: b**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 666312004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1801\/5 + -16219\/45. Suppose 0 = 5*l - 6 + 1. Let p = -5.2 + 5. Put q, l, p in descending order.\nAnswer: l, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 8:02 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 62*u - 200. Suppose 1577*q + 162 = 1583*q. What is the tens digit of m(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*t - 21*t - 75*t)*(-82*t + 649 - 2*t**3 - 649).\nAnswer: 150*t**4 + 6150*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 4*u + 7. Let r(j) = -8*j**2 - 26*j + 48. Let n(x) = 15*h(x) - 2*r(x). What is n(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/5? (a) 3\/8 (b) -130\/3 (c) 8 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1299*p - 21. Let u be w(-6). Let j be (-7)\/2828*u\/6. Let b = j - 17\/101. What is the common denominator of 17\/14 and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 3. Let n be o(-2). Suppose 4*i = -n + 51. Solve 0 = -2*z + 3*l + 25, -4*z + i = l + l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = -9*o - 8*o - 55 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 17*x + 212 = 5*d, 5*d - 194 = -2*x. Let c be (-9338)\/(-92) + (-1)\/(-2)*-3. Calculate the highest common factor of c and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4*g - 23 = 25, -5*t + 34*g - 20 = 39*g for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 835530?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 + (-50 + 6 - -77).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*l + 533, -5*l = -7*l + 3*z - 357. Let w = 614 + l. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 0, 13, 4, 17, -1, -5 in ascending order.\nAnswer: -5, -1, 0, 4, 13, 17, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - -101. Let c = -69 + q. What is the highest common factor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a45 + -5?\nAnswer: 2a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1446 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3099 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 7*q**4\/4 + q**2\/2 + 3*q. Let n be p(1). Calculate the highest common factor of n and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16325137 + 384*z + 16325137 - 375*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v = 0. Suppose -14*c + 13*c + 41 = v. Let i = -16 + c. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10217 - 17016. Let n = d + 10934. Let r = n - 1698. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118185839 times 0.2\nAnswer: 23637167.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2986 plus -0.7?\nAnswer: 2985.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2791378 and -3?\nAnswer: 8374134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 372650609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -119, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -60*j**2 + 707*j + 725. Calculate x(12).\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -53652, 3, 4 in descending order.\nAnswer: 6, 4, 3, -4, -53652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - y + 284 - 349 = 4*y, -y + 9 = -2*m + 30 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1043736 and 173\/336.\nAnswer: 14612304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-70 - 140926\/(-2015))*15\/(-42)\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -5 - (-9 + (23 - 11)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -8*y + 2. Let f be q(-2). Calculate the greatest common factor of f and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 + -0.03. Let n = 1 + m. Sort 2\/11, -0.4, n in decreasing order.\nAnswer: n, 2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 0 - 1\/6*n**3 + 0*n + 1\/12*n**4 - n**2. Determine i(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (48\/(-20))\/3*(-25)\/10. Suppose -6*x = -d*x - 8. Calculate the lowest common multiple of 30 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -96667\/69 + 1401. Let w be (2\/(-6))\/(24\/(-18) - -1). Are z and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -896568?\nAnswer: -896567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 127435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 17*w + 78. Determine j(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 + 189. Let i = w + 15. Let l = i + -100.9715. What is l rounded to 3 decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 853*t**4 - 22*t**3 - 12*t**2 - 2*t - 8994050 with respect to t.\nAnswer: 3412*t**3 - 66*t**2 - 24*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11219 or 78535\/7?\nAnswer: 78535\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8486 - -15473. Suppose 11656 = 5*u - 3*d, -7*d + 3*d - o = -3*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 23736*t + 30222*t - 7871*t + 21 - 6966*t. Let z be k(-1). What is z rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22890986010 take away -0.029?\nAnswer: 22890986010.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1019*q**2 + 981 - 1014*q**2 - 361 - 320*q.\nAnswer: 5*(q - 62)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/13))\/f*(f\/f**0)\/f*(f**(1\/2))**(-33) assuming f is positive.\nAnswer: f**(-433\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 9) to base 14\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/7, 5, 1, 1656, -4 in increasing order.\nAnswer: -4, -0.5, -2\/7, 1, 5, 1656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4*q - 42 = 6, 3*d - 55490*q = -55485*q + 60 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -4.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6\/1*-3*(-6)\/(-189)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + (41 + -18 + 2 - 66).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) -3 (c) -6 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - 5. Suppose 5*n = -w - 4*w + 45, 3 = -n. Calculate the remainder when 65 is divided by 9\/o + 273\/w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/64881044 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15708899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(78)\/(sqrt(294) + sqrt(6)) + -4))**2.\nAnswer: -25*sqrt(13) + 25925\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + s + 1. Let d(i) be the first derivative of -14*i**3\/3 - i**2 - 91. Give -d(m) - 2*n(m).\nAnswer: 16*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29, 189, 613, 1433, 2781, 4789?\n\"Answer: 22*j**3 + 6*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 20661.\nAnswer: 82644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 + 4*j**2 - 7*j + 6. Let k be (45\/(-30))\/((-3)\/8). Let x = 8 - k. Is f(x) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61175 (base 8) to base 16.\nAnswer: 627d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1518142.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + z - 2*z)*(4 + 2 - 15)*(-196*z + 65*z - 52*z).\nAnswer: -1647*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 828 = -4*o - 3*q, 0*o - 1058 = 5*o - 2*q. What is the common denominator of 493\/o - 2\/10 and ((-18)\/16)\/((-3)\/27)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 170c + 1?\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * -32.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/10 and 61\/3866559?\nAnswer: 38665590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*j + 2 - 5 + 3.\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 234546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77340524.\nAnswer: 2, 1013, 19087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/8*(-4)\/4*275\/165?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1996.164 to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.065 + 0.065. Let p = 7.97 + -8. Let g = p + 0.43. Which is the nearest to m? (a) g (b) 2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4033966 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 nearest to 1\/3 in -2\/9, 3, -5526170?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d + 99*d - 40*d - 39*d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.367975 to 2 decimal places.\nAnswer: -67.37","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 401113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -471 * -4.9\nAnswer: 2307.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.5. Sort 3, -4, -5, u.\nAnswer: -5, -4, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003 (base 6) in base 4?\nAnswer: 3123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**5 + 12*s**4 - 53*s**3 + 110*s**2 - 108*s + 40 = 0.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**(-1\/2)*b))\/b*b**(-3)*(b**(-1\/3))**(-38) assuming b is positive.\nAnswer: b**(61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from obrrtorrborekbtobtor?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.081 + 7.781. What is the third smallest value in 0.1, -6\/11, -10, 2\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 19*d**2 + 19*d - 16. Suppose -2 = 3*x + 1. Let u = 19 + x. Is f(u) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + -1 - -12*17. Suppose -15*i = 153 + 957. Let b be -1 + i\/9 + 46\/c. Round b to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1062239*u**2*y**2 - 52184*u**2 + 10*u wrt y?\nAnswer: -2124478*u**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1162455 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {i: 12, t: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b**3 - 14*b + 90*b**4 + 2*b - 8*b + 106*b**3 + 25*b**5 = 0. Calculate b.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -25, -4*n - 9*j + 7*j + 150 = 0. Suppose 79 = -n*p + 219. Solve p*s + 1 = 2*m + s, -23 = -4*m - s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/9)\/o)\/o**(-5\/3)*o**(3\/10)*o*o*o**5*o)\/(o**(4\/9)\/(o*o**(-1\/4))*(o**5\/o)\/o*o**(-7)) assuming o is positive.\nAnswer: o**(261\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 164849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -1, 1, 37 in ascending order.\nAnswer: -2, -1, 1, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2. Let v(n) = -5*n + 3. Let j(t) = -3*t**2 + t. Let z be j(1). Let s(f) = -4*f + 2. Let h(a) = z*v(a) + 3*s(a). What is o(h(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 190 - 282. Let o = -13 + g. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 121?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -320, -1\/135?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-2))\/(85\/136)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*c - 26*c + 12 + 9 - 21*c.\nAnswer: 2*c + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.116*-0.06\nAnswer: -0.00696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4105728 is divided by 2052863.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 139 = -3*j, 46 = 2*j + 5*c - 39. Let d = -25 + j. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 488732 and 7808?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 - -2112100?\nAnswer: 2111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 + 209132*l + 43736193424.\nAnswer: (l + 418264)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8368 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 304808, 609626, 914434, 1219226, 1523996, 1828738, 2133446?\n\"Answer: -o**3 + o**2 + 304822*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in 2\/7, 3\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2139 at least -2139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*r - 226*r = -112*r - 13*d, 4*r + 4*d - 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/15)\/70*-45?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -37. Let c be 2\/(-3)*y\/(-4). Solve 5*v - c*v = -8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8093?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 47 - 47)*(-2*g - 2 + 2)*(59*g - 40*g + 92*g) to z + c*g + h*g**3 + m*g**2 and give h.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1 = 7. Suppose -4*d = -4*n - 4 - 104, -4*n = -y*d + 52. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*k - 92*k = 42 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 - 13 = -11*m. What is the greatest common divisor of m and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*g**3 - 211*g**3 + 110*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 0.2, -58 in descending order.\nAnswer: 0.2, -2\/19, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 30 - 2*f + 18 - 4*f.\nAnswer: -6*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 42\/(21\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 492 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from xxyrxyy.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 3*h + 3. Let z be -1*12\/(12\/(-3)). Let w be q(z). Suppose -w*v + 4*v = 22. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000026809 to seven decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -18 (b) 0 (c) -313 (d) -5 (e) 10 (f) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + sqrt(612) + sqrt(17))*-3.\nAnswer: -12 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62682313*a**2 - 294*a - 99086 wrt a?\nAnswer: 125364626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*g - 424*g**3 + 131*g**3 + 241*g + 140*g**3.\nAnswer: -153*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -29. Suppose 3*v + 242 = -w*t, 5*v + 4*t = 2*v - 244. Let j = v + 161. What are the prime factors of j?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 31*y**2 + 30*y - 2. Let f be m(-30). Let n = 102.929 - 103. Which is smaller: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*p**4*z**2 - 6*p**3*z**3 - 7*z**3 wrt p?\nAnswer: -64*p**3*z**2 - 18*p**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, 85, 328, 679, 1120?\nAnswer: 1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/10 + 14762*a\/5.\nAnswer: -a*(a - 29524)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -867, -53, -1, -2, 255, 3 in descending order.\nAnswer: 255, 3, -1, -2, -4, -53, -867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 17\nAnswer: -15\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 at least 630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -96, -102, -108?\n\"Answer: -6*f - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1241, 2522, 3883, 5366, 7013, 8866?\n\"Answer: 7*l**3 - 2*l**2 + 1238*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8185331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -3*v**5\/5 - 9*v**2 - 20. What is the second derivative of w(p) wrt p?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - -1 - (-1*179)\/1. Suppose 12*t - u = 72. What is the greatest common factor of 21 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16, -5\/4, 0.8, 5, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 161 = 5*c, v + c - 7 = 40. What is the greatest common divisor of 572 and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535 a factor of 36088960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -7508268 to the nearest 100000.\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**8\/2240 + p**4\/8 + p**2. Let m(t) be the second derivative of n(t). Let h be 20\/(-14) + 3\/7. Calculate m(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-8 - -6 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5829371403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -323, 1\/4, 1330999?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, j: 6, p: 1}. Give prob of sequence jj.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14169.75*0.5.\nAnswer: -7084.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -841 - 1?\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h**2 + 2*h + 3. Let g be a(-1). Let k(t) = 28*t - g*t - 1 - 7*t - 12*t. Calculate the remainder when k(6) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400222 (base 5) to base 2\nAnswer: -11000100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 645179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p**2. Let b(m) = -2159*m. Calculate b(r(v)).\nAnswer: 19431*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-269*y + 471*y - 2*y**2 + 46*y)*(2 + 1 - 1).\nAnswer: -4*y**2 + 496*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2606 + -2604. Factor 12\/5*b + 12\/5*b**w - 9\/5*b**3 + 0 - 6\/5*b**4 + 3\/5*b**5.\nAnswer: 3*b*(b - 2)**2*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/5, 4, 17?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - 1013211231?\nAnswer: -1013211130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5) + (-778)\/(-10) + 4. Let j = y - 67. Let c(r) = 3*r**2 - 4*r - 4. Calculate the remainder when c(-3) is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - 623?\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 449182 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -0.1288\nAnswer: 1.1288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m**2 - 184*m - 22. Determine j(-4).\nAnswer: 842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -49988.1 and 7635.57?\nAnswer: 57623.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129\/88 + -11\/8. Which is greater: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 6*u**2 - 5*u + 1. Let s(w) = -w - 6. Let c = -7 + 1. Let n be s(c). Suppose -2*t + 0*t + 10 = n. What is l(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6229921 to the nearest integer?\nAnswer: 2496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20416 + 2?\nAnswer: -20414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.972 - -25.028. What is the nearest to 0.07 in -4\/5, z, -3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/4)*b)\/b**19*b**(-10\/9)\/(b**27*b) assuming b is positive.\nAnswer: b**(-1669\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 4) + 5 + -2 - (1400 - 1370)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-2)\/sqrt(3) - ((sqrt(847)*-1 - sqrt(847))**2 - sqrt(343)*1))*-2.\nAnswer: -6*sqrt(7) + 6776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 1799*c**6\/60 - 1101*c**5\/20 - 1990*c**2 + c. Find the third derivative of s(q) wrt q.\nAnswer: 21588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23346461 and 1511?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 16*i - 3. Let v be (-1 + (-6 - -2))*(2 - 1). What is the remainder when ((-1)\/(-1))\/(1\/150) is divided by a(v)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (273\/(-14) + 5)*40\/52?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102075068?\nAnswer: 2, 19, 241, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 + (-14 - -15) + -13 - (1 + -6).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -4, 0, -0.1, -1\/7, -3297?\nAnswer: -3297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 802*v - 18. Let h be d(9). What is h rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/120 and 58\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1, -1\/3, 1\/12, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175345 and 2.\nAnswer: 350690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.1, -4, 44438, -3, -2\/7, -1.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91285477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111557120 by 55778560.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**3 + 125*u**2\/2 + 295*u\/2 - 90 = 0. Calculate u.\nAnswer: -9, -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 118, -3, 4 in descending order.\nAnswer: 118, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 731826021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1\/3, 2\/25, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 248 + 110 - 358.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290187895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 5:11 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*(sqrt(448) + 1)*1)**2 + -3.\nAnswer: 576*sqrt(7) + 16165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*s + 10, -5*s + 19 = -5*y + 3*y. Calculate the least common multiple of 1 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -6*w - 47. Let y be (-2 - 4) + 1 - w. Let h(g) = 4*g**2 - 3*g - 1. What is h(y)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b (base 13) to base 4.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3 - 7*w + 0 + 6*w - 5. Let d be u(-2). Suppose -7*s + 2*s - 12 = 2*n, -5*n - 5*s = d. Solve n = q + q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2192 divided by 3.\nAnswer: -2192\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 2072*k + 16704.\nAnswer: -2*(k - 8)*(k + 1044)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676 is divided by 334.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) - 638\/(-8). Let q = 17 - 13. Let x be 4 + 4 + -2 + q. Calculate the highest common factor of b and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2463355 (base 9) to base 7.\nAnswer: -14253254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**6\/132 + 7*c**5\/330 - 2*c**4\/33 - 4*c**3\/33 + c**2. Factor u(f).\nAnswer: 2*(f - 1)*(f + 2)*(5*f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from mamaamva?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*q - 40. Suppose 2*l - 19 = 3*v, -28 = -2*l + 2*v - 10. Suppose l = 4*x - 2*x. Solve -x*y - 4*n = -15 + 3, -4*y = -2*n + q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4296 + -2977. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -79*b**3 - 2*b**2 + 2*b - 1. Let w be p(1). What are the prime factors of (4\/(-10))\/(2\/w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 9*c**3 + 22*c**2 + 12*c - 26. What is f(-4)?\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -217896929*h**3 + 145032916 wrt h.\nAnswer: -653690787*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 2. Suppose 0*c - 78 = 13*c. Let v(o) = 5*o - 3. Let q(y) = -y. Let k = -11 + 15. Let d(p) = k*q(p) + v(p). Determine c*u(a) + 4*d(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (3*sqrt(152)*-3 + sqrt(152) - sqrt(152)))\/(sqrt(8)*-3*1).\nAnswer: -10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 less than -1?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32836761 is divided by 203955?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {w: 3, o: 8}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6*i + 15*i**4 + 3*i + 4*i**3 - 13*i**4 + 0 + 4*i in the form t*i**4 + k*i + w*i**3 + a + q*i**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 78\/((-2)\/5*(-15)\/6). Let l = 161 - p. Calculate the remainder when l is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*v - 4, 5*v = -3*z + 118. Calculate the smallest common multiple of z and 2944.\nAnswer: 26496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34825685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 16*j**2 + 11*j. Let c(n) = -3*n**2 - 2*n. Let w be (-1)\/((12 + -11)*(-1)\/(-11)). Let z(v) = w*c(v) - 2*s(v). Let h(f) = -f + 11. Calculate h(z(d)).\nAnswer: -d**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 321*1 - (-8 - -9). Suppose -4*o + i - 108 = 0. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v + 66. Let s = v + 26. Let y(i) = -48 + s + i. Let f(z) = -29*z**2. Give y(f(k)).\nAnswer: -29*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 376 + -216. Let q(b) = b + 8. Calculate the remainder when d is divided by q(19).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/3 and 151\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 + 2739*q\/2 + 23426.\nAnswer: -(q - 2756)*(q + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) -201 (b) 0.3 (c) 10 (d) -288\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 9*v**2 + 6*v + 7. What is the remainder when y(-8) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2463, 4950, 7463, 10014, 12615, 15278, 18015?\nAnswer: 20838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(312\/17550*45)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/125*(-3)\/((-99)\/(-5))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l**2 + 0 + 12*l**3 + 32\/3*l - 2\/3*l**4 = 0. What is l?\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/sqrt(10)*6 + (sqrt(3) - (sqrt(3) + (sqrt(3) + 1)**2*-1 + sqrt(3) - sqrt(3))) - 2*(sqrt(300) + (sqrt(300) + 2*sqrt(300) + sqrt(300))*3)**2.\nAnswer: -101396 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4262 is divided by (-38)\/(-3) - 1 - ((-49)\/21 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 21*n. Let f(z) = 150020*z - 1. Calculate f(i(k)).\nAnswer: 3150420*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -1\/431, 10, -5, 6\/5?\nAnswer: -1\/431","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 427*o + 18518. Determine k(-47).\nAnswer: -1551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 253605 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3505 = w - 573, -2*x = -w + 2717. Is (9 + -10)\/(1\/x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 6, -1544, -1, -5, 5, 4 in ascending order.\nAnswer: -1544, -5, -1, 4, 5, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 378*v**2 + 47*v**3 - 378*v**2 + (-20*v + 10 - 10)*(13*v - 8*v - 10*v)*(-3*v + 0*v + 4*v) in the form y*v + n*v**3 + m + u*v**2 and give n.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -590ca6 (base 14) to base 15.\nAnswer: -3eee5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a8 (base 16) to base 15.\nAnswer: -b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 524 = 3*j - 4*r, -836 = -3*j - 4*r. Let g = 457 - j. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/67 + -34529\/536. Let i = u + 64. Let q = -39.12 + 38.72. What is the biggest value in q, -10, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from {l: 1, v: 1, r: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 258391 * -4.2.\nAnswer: -1085242.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 3*t**2 - t**2 + (-1 + 1 - t**2)*(2 - 4 + 3) + 48*t**2 + 50*t**2 - 11 + 2*t - 97*t**2 to the form x + m*t + a*t**2 and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-5 + sqrt(2) + 3)*3 + -2)**2 - (6*(sqrt(40)\/sqrt(5) + sqrt(8)))\/(1*sqrt(16))).\nAnswer: -410 + 270*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -477*f**4 - 8*f + 23*f + 483*f**4 wrt f?\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide -1*(-1 - (-249)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010 (base 4) in base 5?\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i - 5*u + 15, 20 = 5*i + 2*u. Let r be 70\/(-30) - i\/(-6). Let y be 0 - -2*(-13)\/r. What is the greatest common factor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 254160582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010011011111111000110 (base 2) in base 9?\nAnswer: 14032615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 10*l + 39.\nAnswer: -(l - 13)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - a**2 + a. Let x(b) = -b**3 + 161*b**2 - 2186*b + 2028. Let j(s) = -2*o(s) - x(s). Factor j(y).\nAnswer: 3*(y - 26)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -798\/127, -0.1, -20, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 2039610*i + 208000447605.\nAnswer: 5*(i + 203961)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 - ((64 - -9) + 21)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*x + 28. Suppose 0 = -2*a + 3*a - x. Let g be (1 - -2) + -1 - 0. Solve -a*f = -4*f + g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2780785718?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 1:20 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2084, 8398, 18922, 33656, 52600?\n\"Answer: 2105*f**2 - f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 18787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4\/8 - 77*j**3\/4 + 343*j**2\/2 + 1245*j - 3024 = 0.\nAnswer: -6, 2, 14, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 + 11*w**2 - 3*w + 6. Is i(5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 4:24 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 151*v + 7418. Give w(-204).\nAnswer: -3394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7387 and 249.\nAnswer: 22161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*q + 31012 = -275668. List the prime factors of q.\nAnswer: 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a3d9 (base 15) to base 7\nAnswer: 1104102","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-54436)\/(-186))\/((-1)\/(-45))?\nAnswer: 2, 3, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-1)*51\/51 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 380095 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 3*h**2 + 3*h**2)*(0 - 1 - 2) + 2*h**2 + 1215*h - 1215*h + (-3 - 1 + 3)*(-2 - 2*h**2 + 2) + 2*h**2 + 2*h**2 - 2*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z = 0. Suppose -4*q = 2*i - 1 - 3, q = -4*i + 22. Suppose -i + 8 = c. Solve -4 = c*x - z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/1832 and -97\/102557192?\nAnswer: 102557192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 9:14 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -337927, -10.\nAnswer: -337927, -10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 1\/5*v**5 + 96940*v - 104\/5*v**4 + 3889\/5*v**3 - 12854*v**2 - 273800 = 0.\nAnswer: 10, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.9319134 rounded to 0 dps?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(475) - sqrt(475)*2)*5 - (5 + sqrt(475)*-1) - (sqrt(475) + (sqrt(475) + 1 - sqrt(475)) + -3)*6)**2.\nAnswer: -700*sqrt(19) + 47549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 + 1 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*u = 4857, -3*k - 2491 - 432 = -2*u. Let c = 2052 + k. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3 - 1024*v**2 - 260084*v + 1056784 = 0. Calculate v.\nAnswer: -514, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 64318 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 18174968*l - 128. Suppose 7*y = -30 + 2. Let j be q(y). What is j rounded to the nearest 1000000?\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*n - 13 = 3*d, -4*d + n + 71 = 0. Let c = d - 0. Let v(a) = a**3 - 18*a**2 - 2*a + 4. Calculate the common denominator of v(c) and -39\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.6 + 6. Suppose 4*o - 2 - 2 = y, 4*y + 2 = 2*o. What is the second smallest value in 4\/9, w, o?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-5))\/1 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((19\/(-95))\/((-34)\/(-4)))\/(3\/15)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1305 times -63?\nAnswer: 82215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-12) + (-159)\/(-12). Let c be 2\/y - (-350)\/91. Find the third derivative of n - n**2 - n + 7*n**c + 2*n**2 wrt n.\nAnswer: 168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19241268 is divided by 79182.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 220 - 4 = 4*h, 3*h = -3*w + 162. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9*b - 6. Let z be c(7). Let a = -17 - -31. Let l = 33 - a. What is the greatest common factor of l and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -8. Let l(t) = -2*t + 1. Let p be l(r). Solve 0 = -s + 2*b - 5, -p*s = 2*b - 1 + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71 + 73 + 17 + 58 + u - 7*u to the form a*u + m and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i = 9. Solve 3*s - 1 = -x, 0 = -2*x + i*s + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrruuuuuuuuurr. Give prob of sequence urrr.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, d: 2}. What is prob of picking 3 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.098 and -15361.2?\nAnswer: 1505.3976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28140226*u**2 - 7612598.\nAnswer: 56280452*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 4*x + 9 = 0. Let h(w) = w**2 + 3*w. Let j be h(x). Let z = -8 + 6. Which is the nearest to -1\/4? (a) z (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u - 3. Let t(p) be the third derivative of -p**4\/12 + p**3\/6 - 35*p**2. Let b(m) = l(m) + 3*t(m). Let o(c) = 33*c. Calculate b(o(y)).\nAnswer: 33*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 34. Suppose j*p - 99 = -4*s, p = -3*s + 54 + 34. What are the prime factors of s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*n - 2*n + 21*n - 6*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 0 - 1\/8*h**4 - 7\/60*h**5 + 0*h - 209*h**2 + 0*h**3. Let d(l) = -3*l. Determine o(d(s)).\nAnswer: -63*s**2 + 9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -262 - -818. Let s = f + -313. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 - 4*c**2 + 4*c + 63. Let f(i) = i**3 - 3*i**2 + 3*i + 64. What is 4*f(h) - 3*o(h)?\nAnswer: -2*h**3 + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 7. What is the lowest common multiple of 10 and p(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 11 - 3. Let s = -2.21 - -2.084. Let y = -2.126 - s. Which is the closest to w? (a) 5 (b) -0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6330)\/(-1477))\/(60\/1386)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.2 (b) -0.84 (c) -2\/19 (d) -1\/3 (e) -0.1 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by 658.\nAnswer: 65\/658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-21)\/49) + 22. What is the highest common factor of y and 100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, v: 1, q: 1, e: 1, t: 2, l: 1}. What is prob of sequence tt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - b - b)*(6*b + 2*b + 6*b) + 171*b**2 - 5198 + 5198.\nAnswer: 115*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47213, 188836, 424867, 755300, 1180129, 1699348, 2312951?\n\"Answer: -b**3 + 47210*b**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2410343 (base 5) to base 4.\nAnswer: 22312321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 j when three letters picked without replacement from jjrrddrrd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*t = -546, -3*k + 3*t + 254 = -295. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 11:31 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.00108 - 2.86508. What is g rounded to 1 decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 + 18*x**2 - 9*x - 107. What is g(7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17 (b) 927 (c) 1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 7) + 2 + -8 + 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, y: 12, v: 1}. Give prob of sequence vvvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)*-1)\/sqrt(3) - (4 + sqrt(63)).\nAnswer: -4*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0 - 128. Let k = -13145 - -52323\/4. Let b = k - d. Is b >= 0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 78*a - 17 - 5.\nAnswer: 78*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3687754.\nAnswer: 2, 7, 263411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 55380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18669922 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0*3\/(18\/(-6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(-4)\/(-16) + -2. Let m = c + 5. Find the second derivative of 2*l**5 - 8*l**5 - 2*l**5 + 7*l + m*l**5 wrt l.\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (29 + 7037)\/((-2)\/4). Let k = a - -20113. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j**2 - j - 35. Let q be d(19). Let i = 21287\/6 - q. Find the common denominator of 115\/6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/19)\/(a\/(a**(7\/12)*a*a)*a)*a**(-6)\/a**(1\/9))**(2\/135) assuming a is positive.\nAnswer: a**(-3709\/46170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 0, -1, -4\/3, 0.18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*t + 259 + 3053 = 0 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**21*p**16*p**(-1\/14)*p\/(p\/(p\/(p\/(p\/(p*p**34))*p))))**4 assuming p is positive.\nAnswer: p**(-1094\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -132 + 20?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 782 and 161782.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 7459, -2\/9, -30, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 12 = 7*v. Let o be v + -1 - (-12 + (19 - 9)). What is the highest common factor of 142 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30045209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23884020 to the power of 1\/3, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 10:14 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2486719 is divided by 1562?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 1 - 1)*(3*z**2 - 4*z**2 - z**2) - 2*z + z**3 + 2*z - 2*z**3 + 17 - 16 - 5*z**3.\nAnswer: -10*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(325)*3 + 0 - (6*sqrt(117)*-4 + -2).\nAnswer: 2 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1221, -1440, -1683, -1962, -2289, -2676?\n\"Answer: -2*o**3 - 205*o - 1014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 98. Let w(l) = l - 96. What is -2*k(v) - 3*w(v)?\nAnswer: -v + 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280962*1.\nAnswer: -280962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 0 + 1\/2*a**3 - 1\/4*a**5 + a**2 - 1\/12*a**4 + 10*a. Does 16 divide v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 0. What is the closest to y in -0.2, -5, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 8*x + 4. Let c be s(-8). Suppose -2*k + 4*j = k - 90, -c*k - 4*j + 92 = 0. Calculate the remainder when k is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - m. Which is the nearest to m? (a) -2\/13 (b) 1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*l + 73*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 14*i + 71. Let o be x(-8). Let r be o\/4*1*4. Suppose -2*y + r + 41 = 0. What is the lowest common multiple of 16 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*h + 40800 = 262*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**6\/210 + 19*g**5\/140 + 13*g**4\/84 - 29*g**3\/14 + 27*g**2\/7 + 4834*g. Factor v(s).\nAnswer: (s - 1)**2*(s + 3)*(s + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -23*k**3 - 5*k**2 + 8*k + 3. Give a(2).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((270710\/(-264))\/107)\/(5\/2))\/((-13)\/234).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16645553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(5\/1)*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 16\/105*i**7 + 0*i**3 + 0*i**4 + 0*i**6 + 31\/60*i**5 + 0 + 0*i - 30*i**2. What is the third derivative of s(h) wrt h?\nAnswer: 768*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -2, -63, -1\/86, -0.3?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p. Let f(d) be the third derivative of -d**7\/5040 - d**6\/720 - d**5\/6 - 7*d**2. Let s(u) be the third derivative of f(u). What is -2*s(r) + v(r)?\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4525586 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**3 - 7*i**2 - 6*i + 11. Let x(r) = 9*r**3 + 13*r**2 + 11*r - 21. Let g be 9\/(-15) - 66\/(-10). Let p(v) = g*x(v) + 11*z(v). Determine p(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 82404831?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -1461?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppz when three letters picked without replacement from pdpzkuhk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*j**3*v*w + 31*j**3 + 19*j**2 + 5521*j*v*w + 2*v**2*w + 46*v**2 with respect to w.\nAnswer: -32*j**3*v + 5521*j*v + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, w: 1, j: 6, o: 3}. What is prob of picking 2 j and 1 o?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 606 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*n = 159*n + 30 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 4*x - 56, 20 = -2082*x + 2087*x for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {y: 1, m: 6, h: 12}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/15 - i**3\/6 - 2*i**2. Let p be y(-2). Suppose -3*s + p = -30. Solve 4*m - c = 18, -m + c + s = 6*c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -500 + 542 - (55 + 1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * 9.07\nAnswer: -6.349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1401*b**2 + 1 + 226139*b**5 + 226140*b**5 - 451388*b**5 wrt b.\nAnswer: 53460*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.38 less than 21209?\nAnswer: 21206.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 70766488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2 times -7784.85?\nAnswer: -40481.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232736306 to the power of 1\/2, to the nearest integer?\nAnswer: 47252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5232769.\nAnswer: 31, 59, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2371+46\nAnswer: 2417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 14*z**2 + 13*z - 9. Let a be d(15). Let j be (-988)\/a + (-2)\/6. Calculate the greatest common divisor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4795 + 98*t**2 - 50*t**2 + 213*t - 46*t**2 - 213*t to the form z*t**2 + p + v*t and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3.5. Let k be (-50)\/10 + 63\/15. Which is the fourth biggest value? (a) k (b) 0.4 (c) -4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.0073*2.\nAnswer: -2.0146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - (-17 + 11)) + -9?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -5 (b) 2.6 (c) -0.1 (d) 0 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -0.06, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/9 + 5918*c**2\/9 - 47173*c\/3 + 41258.\nAnswer: -(c - 5894)*(c - 21)*(c - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 267307023 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47533646 a multiple of 896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.3 - 4.3. Sort 4, k, -1\/3 in ascending order.\nAnswer: -1\/3, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -330 + 11?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/14 and 61\/123410.\nAnswer: 123410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*g**2*u**2 + 4121*g**2*u - 78*u**2 - 61*u + 7 wrt g.\nAnswer: 72*g*u**2 + 8242*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i**2 - 8*i - 10. Let w(o) = -15*o**2 + 17*o + 21. Let v(c) = 13*l(c) + 6*w(c). What is the units digit of v(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -6. Solve -i*b - 4*y = 16, b + 3*b - 2*y - 14 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/3498 and 163\/1173102.\nAnswer: 12904122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 + 3*r**3 + 27*r**4 - 28*r**4 + 0*r**3 - 5055 + 5099 as g*r**2 + m + p*r**3 + a*r**4 + x*r and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000 times -1415.43?\nAnswer: 2830860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -52.5+-0.3\nAnswer: -52.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.8 - -3.8. Sort x, 3, -0.5 in descending order.\nAnswer: 3, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 12. Let f be q(8). Let o = 13 - f. Suppose -l + o = 7. Is l > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t + 390 = -395 + 161 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/2 and (-15)\/(-8)*-1*(-261)\/(-90).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2504*l**2 - 215343*l + 83. What is b(-86)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4969646343 and 3.\nAnswer: 4969646346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104 - -164. Suppose r = -r + m. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, 2, -20, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -12, 7?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a**3 + a. Let t be x(1). Let w be (-1)\/t - 44\/20. Let h be (3 + -1)\/(w\/(-5)). Solve z - 18 = -4*f, -5*z + h*f = f + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 25. Let h be w(-6). Let q = h + 13. Calculate the remainder when q is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5701.6ug in kilograms?\nAnswer: 0.0000057016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - 0.11. Let p = -2.83 + x. What is the closest to -1 in 0, 0.2, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 319757 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 0.8 (c) -0.4 (d) -617\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1435\/27729 - -1\/2133. Put c, 2\/7, 3, -2 in decreasing order.\nAnswer: 3, 2\/7, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + a42?\nAnswer: a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 305.077 + -305. Which is the fourth biggest value? (a) 3 (b) -4 (c) y (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.24, 0.4, -3, -1.\nAnswer: -3, -1, -0.24, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = q + 34. Let l(m) = 5*m - 33 + 16 + q. Give l(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -4*d**2 + 0 + 0*d - 2\/3*d**3 + 5\/24*d**4. Let a(j) = -14*j + 11. What is -4*a(b) - 11*m(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 3. Let b be z(8). Suppose 0 = h - b*h. Suppose 1\/2*l**2 + h*l - 1\/2 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddddhhddddh. Give prob of picking 2 d and 1 h.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4236*a**2 + 5592. Let w(p) = -2*p. What is w(h(n))?\nAnswer: 8472*n**2 - 11184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 17480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -0.2, -7, -1, 569 in decreasing order.\nAnswer: 569, 53, -0.2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + (-67 - -38) - (16 - 22).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 144, 380, 834, 1578?\nAnswer: 2684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -6. Suppose -3*o + 10*o - 35 = 0. Calculate the remainder when b is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 1)\/(6\/(-30)). Let r(f) = 30 - l*f - 30. Let s(y) = -2*y**2. Give s(r(c)).\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -109?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 49 + 2*g - 47 - g. What is j(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - -1 - 1) + -7 - (-27 - -20).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8259 - 74255\/9. Calculate the common denominator of g and 3\/229.\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**4\/12 - l**3\/2 - l**2. Let z be -3*(4\/(-6))\/1. Let t be k(z). Is 1 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 10:24 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12585*j**2 - 12585*j**2 - 3*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 321\/45 + (-4)\/30.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1138986 and 29993298.\nAnswer: 89979894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 821 + 12*z - 29*z + 122. What are the prime factors of y(0)?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 6*t**2 + t - 2. Suppose 5*f - 38 = -8. Let k be n(f). Solve -5 = 3*z + k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**4*m**2*z + i**3*m**2*z - 3*i**3*z + i**2*m**2*z + 3*i**2*m*z - 12*i**2*z - 2*m*z wrt i.\nAnswer: 48*i*m**2*z + 6*m**2*z - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 40*p - 40*p + p**2 + 16 in the form i + f*p + n*p**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 5396412.\nAnswer: -13\/5396412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 1724840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -10.6. Let p = 3 + -6. Let k(r) = -r**2 - 44*r + 5. Let y be k(-44). Put p, h, y in increasing order.\nAnswer: p, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*w + w. Let f be w + 4*3\/2. Suppose -2*g + 15 + f = 0. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 7:49 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + o**2 + 4*o + 2. Let v(y) = 3*y**2 + 15*y + 9. Let z(k) = 2*k**3 - k**2 - k. Let a(l) = -v(l) + 2*z(l). Determine -2*a(r) - 9*q(r).\nAnswer: r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**4*u)\/u**(-3))**(2\/27)*(u**(-1\/4))**37*u*u**(4\/3)*u\/u**(-5) assuming u is positive.\nAnswer: u**(-91\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -379987 (base 10) to base 13\nAnswer: -103c5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 30*x + 24. Let v(q) = -6*q - 5. Let y(g) = -3*g**2 + 5*g + 3. Let t be y(2). Let s be (-4 - -3) + (9\/(-3) - t). Determine s*l(k) - 24*v(k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -9*x + 79. Let w be s(10). Which is greater: w or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -11 - 7\/((-35)\/15). Let u be k\/(48\/(-27))*-2. Let p be (-1)\/(u - -9 - 1\/4). Solve h - 3 = 5*s + 5, p*h + 2 = 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -1, 6 in ascending order.\nAnswer: -2, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + -0.4. Let w = 0.41 - 0.41. Sort h, w, 2 in ascending order.\nAnswer: h, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*v - 973 = 390 - 71 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 277, 278, 279?\n\"Answer: d + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 9*a. Let t be j(-4). Let s be ((-15)\/t)\/((-2)\/96). What is the common denominator of -93\/8 and (-2)\/(0 + s\/(-82))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618506073?\nAnswer: 3, 1637, 41981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/64 and 83\/12.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*k**3 + 21*k**3 + 16*k**3 + (2*k**3 - 2*k**3 + 2*k**3)*(-3 + 2 - 1) - 103 + 7*k**3 + 103 to l*k**3 + u*k**2 + m*k + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 33 + -8 + 16 + -11?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -207.721 + -32.279. Which is the third smallest value? (a) 0.12 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 5\/3, -180, -2\/15, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*c - 57*c - 34*c.\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/c)\/c*c*c\/((c*(c*c*c*((c*c**15*c*c*c)\/c)\/c)\/c)\/c) assuming c is positive.\nAnswer: c**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83\/9, -2, -49, 0.1, 2 in ascending order.\nAnswer: -49, -2, 0.1, 2, 83\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(640)*-6)\/(sqrt(288)*1*-2 - sqrt(288) - (3*-1*sqrt(288) - sqrt(288))).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five thirds of a year in months?\nAnswer: 220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-354)\/(-30) + (-3)\/(-15). Let a be (-7)\/(-8) + (-9)\/y. What is the second smallest value in a, 3, -1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 10}. What is prob of picking 1 d and 1 w?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b. Let a(g) = 12*g**2 + 1577217*g. Give l(a(w)).\nAnswer: 84*w**2 + 11040519*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*x - 6 = x, -9 = -5*d + 2*x. Suppose -2*h = d*f - 14, f - 22 = -h - 4*h. What is the second derivative of -3*w**f + w**2 - 4*w - 7*w wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -5. Let o = l - -10. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -8\/3 (b) 5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -15, 7, -20, 15, -5, 2.\nAnswer: -20, -15, -6, -5, 2, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30605294 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: Let p(a) = -18*a**2 + 739*a + 31. What is the remainder when p(40) is divided by 52?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 100 - 76 = 4*j, -8 = 2*j. Suppose n - 3*n + 22 = -5*k, 3*n = 2*k + 11. What is the remainder when (-1 - v)\/(n\/2) is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-8))\/(-1)*-862. Let j = 685 - d. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y + 17*y + 14*y + 25*y - 79*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/((i\/(i\/(i**2\/i)))\/i))\/i)\/(i**(-1\/15)*i))\/(i\/i**(-6)*i**(-3\/4)) assuming i is positive.\nAnswer: i**(-371\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 6) + -14 + 51 + -26?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1266 (base 14) in base 5?\nAnswer: -100401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -20, 15, 88, 211, 396, 655?\nAnswer: 1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -1\/4, -4, -1\/6, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 87*x**2 - 18*x - 61. Let l be f(5). What is the greatest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 93*w**2 + 104*w**2 + 111*w**2 + (w**2 - 6*w**2 + 3*w**2)*(-1 + 2 - 3).\nAnswer: 312*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w + 8. What is the units digit of q(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.19 - 0.19. Is j at most as big as -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -102?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10209 (base 12) in base 3?\nAnswer: -1001212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z. Let y(p) be the first derivative of -2 - 1\/2*p**4 - p + 0*p**3 + 0*p**2. Let w(s) be the first derivative of y(s). Calculate b(w(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 12*t**2 + 14*t + 27. Calculate k(11).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.31 + 0.3082. Round k to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/29)\/((((((n**(6\/5)\/n*n)\/n)\/n)\/n*n*n)\/n)\/n)*n**(-13)*n*n*n*(n*n**(-15)*n)\/n assuming n is positive.\nAnswer: n**(-3209\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6319, 12638, 18957, 25276?\nAnswer: 31595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60.6863 + -0.1537. Let x = t + 61. Which is the smallest value? (a) x (b) -1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 36 + 13 + 39 + a to v + h*a and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 162937, -7, 3 in increasing order.\nAnswer: -7, 3, 162937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 83 (base 12) to base 9\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*f**2*h + 66951531*f**2 + 20*f*h - 58002*h with respect to h.\nAnswer: 32*f**2 + 20*f - 58002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 12\/(7 + -3). Suppose h*k = 13 + 5. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 14*q + 12. Calculate the least common multiple of s(14) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/4)\/(12\/(-16)). Let m be (f - -7) + (-4)\/(-2). Calculate the common denominator of 3\/m*(-40 - -3) and -33\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by (-22)\/(((-5)\/((-10)\/(-4)))\/2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 q when three letters picked without replacement from {c: 3, q: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g + 62. What is o(22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-150)*4)\/((-20)\/125)*8\/(-390)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -63, -134, -233, -360, -515, -698?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d. Let b(a) = -14*a - 5*a + 36*a + 3*a. Give m(b(c)).\nAnswer: 40*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 103 or 102?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.263 + 1.263. Put 2\/9, -42, -5, l in descending order.\nAnswer: l, 2\/9, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 0 - (-18 + 26 - 10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35516 + -1?\nAnswer: -35517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyoozyooloyiqioy. Give prob of picking 1 q, 1 o, 1 y, and 1 z.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.9 + 17. Which is the nearest to n? (a) 1 (b) 0.4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y - 9*y)*(0 - 4 + 2).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 - -104. Let c = p + 74. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150310.2ms to nanoseconds.\nAnswer: 150310200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 1163*t**4\/4 - 428*t**3\/3 + 1972. Find the third derivative of f(s) wrt s.\nAnswer: 6978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2*k**2 - 5 + (-3 + 2 + 6)*(2*k + 5*k**2 - 2*k + (k + 5*k - 4*k)*(-4*k + 4*k - 2*k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**7\/210 - 31*o**6\/30 + 136*o**3\/3 + 482*o**2. What is the first derivative of a(j) wrt j?\nAnswer: 4*j**3 - 372*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2297044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 12:22 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 2:04 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -817066+0.442\nAnswer: -817065.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 25, -601 = -4*l - 0*k - 5*k. Let a be 0 - (-4)\/(-10) - l\/140. Let j = 1.1 + -0.1. Is j smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(726)*1)\/(-3*sqrt(8)*-3).\nAnswer: 22*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2530 and 880?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/41)*q*((q\/(q**(8\/7)\/q*q))\/q*q)\/q*q)**(-1\/76)*((q*q\/q**(1\/16))\/q*q**(1\/3))**9 assuming q is positive.\nAnswer: q**(995823\/87248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.6 + -0.16185914496675.\nAnswer: -4.76185914496675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**3\/15 + 4*y**2\/15 + 2*y\/15 - 4\/15 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -40196045\/19 at most -2115581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 6*q**2 - 5*q + 19. Let k(j) = -j**3 + 8*j**2 - 8*j + 2. Let b be k(6). Suppose -3*o - b = -5. Let f be i(o). Solve 0*u + u = f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**3\/3 + 7*f**2\/2 - 2*f. Let d be x(0). Round d to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4\/7 - 15*t**3\/7 - 45*t**2\/7 + 15*t\/7 + 6 = 0. Calculate t.\nAnswer: -2, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 785734?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 860 by -2.\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136084 - 136083.9999905549. Round g to 7 decimal places.\nAnswer: 0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 15*c - 9*c. Is c\/12*(-1 - -2175) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 5.9999935. What is y rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.3 - -6. Let f = -0.32 - -0.22. Which is the nearest to f? (a) t (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**2 - 4*x + 3. Let t be r(5). Let a = 42 + t. Let i = 241 + a. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 - 5*m**4 + 4*m**4)*(-1 + 6 + 2)*(1 - 2 + 0).\nAnswer: 14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1904.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 6*j**2 + 3*j - 15. Let p(b) = -b + 30. Let q be p(24). Let i be o(q). Suppose g + 287 = i*z - 3*g, -374 = -4*z + g. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 5*b**2 - 5*b + 2. Let c be s(4). Let v be c + 0 - 6052*6. Let g = 13686 - v. What is g rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {b: 3, p: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 13*z - 7*z. What are the prime factors of 0 + -1 + -1 + 0 + z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28216 - -b25?\nAnswer: -275e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3543 = -5*j, 0*h - 4*h = -j - 699. Let y = 308 + j. Let i be (-4)\/(-6) - (y\/3 - 1). Calculate the greatest common divisor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0257795 to four dps.\nAnswer: -0.0258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 391 + -394. Let d = 0.06 + -2.56. Which is the third smallest value? (a) s (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 4*r**2 - r**2 + (-3*r**2 + 3*r**2 + r**2)*(-18 - 19 + 12) to m + v*r + n*r**2 and give n.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-2) + 3 + -7 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 299\/(-2) - (-3)\/2. Let t = -103 - z. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 + 19*p + 11. Let y(s) = 2*s**3 + 10*s + 9. Let t(h) = 3*h**3 + 20*h + 17. Let l(b) = -3*t(b) + 5*y(b). Determine -6*c(k) - 11*l(k).\nAnswer: k**3 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/((-6 + 4)*1). Let t = b - -34. Calculate the remainder when t is divided by (0 - 1)\/(1\/(-25)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11 + -0.89. Suppose 427*g - 426*g = 1. Let v = 0 - -4. Which is the smallest value? (a) g (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*x**4 + 2 - 2478*x**2 + 8*x + 6*x**4 - 4*x**3 - 12*x + 2574*x**2 + 81*x**6 wrt x.\nAnswer: 9720*x**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -17\/4*a**4 + 0*a**2 + 7*a**3 + 0*a + 27. Find the third derivative of s(m) wrt m.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, l: 1, w: 2, o: 8}. What is prob of sequence wo?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -6. What is the common denominator of 49\/6 and ((-109)\/(-2))\/(-8 - z)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2607 = -49*a + 38*a. Let s = 233 + a. Let u(l) = 19*l**3 + 13*l**2 - 9*l. Let z(w) = 9*w**3 + 6*w**2 - 4*w. What is s*u(j) + 9*z(j)?\nAnswer: 5*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*(-1)\/70 - 2\/(-10). Let y = 2 + -2.1. What is the nearest to y in w, -5, -3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 28 = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -624 - -617.26. Let n = 65.54 + x. Round n to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 7:40 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -619031383314 - -0.176\nAnswer: -619031383313.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 175 - ((-2800)\/(-10))\/14. Let w = 46 + 16. Calculate the greatest common factor of w and y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1506*h = 1345*h + 2822 + 3135 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6382*n**2 + 220551*n?\nAnswer: 12764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*(((y\/(y\/y**(2\/5))*y)\/y)\/y)\/y*y\/(((y*y**0)\/y)\/y)*y**0\/y**5 assuming y is positive.\nAnswer: y**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7514 * 17454\nAnswer: 131149356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-6)*(-112)\/42*45\/100\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*t + 3*t. Let q be t*(3 - 12\/8). Let g(y) = y + 1. Let r be g(4). Solve 5*f - 35 = r*z, 12 = -z + q*f - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 15*b + 22. Let w(u) = 3*u**2 - 44*u + 67. Let o(g) = 8*c(g) - 3*w(g). What is the smallest common multiple of o(9) and (-1)\/(-1) - (-9 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*t - 36 - 406, 2*t = 5*r + 397. Suppose -2*k + t + 45 = 0. Is k a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26418714, 52837429, 79256144, 105674859, 132093574, 158512289?\nAnswer: 184931004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*k + 6 = -5, 5*k - 29 = -3*o. Let x(y) = 152963*y**3 - y + 2. Let a be x(o). Round a to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 + -66. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -2\/1825 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224592, 449175, 673758?\nAnswer: 898341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 267\/1480 + 36\/185. Which is the closest to 5\/4? (a) w (b) -5 (c) -1 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3864*w - 1259663. Give t(-326).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 983 - 983. Let u(n) be the second derivative of b - 8*n + 1\/6*n**3 + 0*n**2. Let q(k) = -2*k. Give q(u(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = -23*r - 302. Let l = -38 - r. Let j = 1 - 1. Which is the nearest to j? (a) -1\/3 (b) l (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2198235233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**5 + 36*m**4 - 24*m**3 - 102*m**2 + 27*m + 66 = 0 for m.\nAnswer: -1, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 6:40 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*z**3 + 667*z**3 + 634*z**3.\nAnswer: 1161*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28\/23 - 21295\/17549. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 5*y**2 + 11*y + 39. What is t(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = -223*v + 211*v. Calculate the remainder when v is divided by 3\/6*(-1 - -53).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhpj when four letters picked without replacement from hxxjpxj?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.947187nm in micrometers?\nAnswer: 0.000947187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7, -2\/5, -2.38?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, 8396, -2 in increasing order.\nAnswer: -106, -2, 8396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -178 + 177.81. What is the closest to 1 in 0, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -5 + -2 + -5 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 60\/35 - (-4)\/14. Suppose 0 = 6*b - a*b + 12. Let c = 9 + b. Solve l + 25 = c*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/20)\/(4 + 2). Let r = 27\/40 + v. Factor -12\/5 - r*z**2 + 12\/5*z.\nAnswer: -3*(z - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 + 9*g - 60. Let b(k) = -2*k**2 + 8*k - 48. Let q(t) = 5*b(t) - 4*p(t). Determine q(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 1)*3\/2. Suppose 0*u + f*u = 24. Let y(a) = 3*a**2 + 18*a + 8. Let w be y(-8). Calculate the greatest common factor of u and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1151 (b) -0.12 (c) 0 (d) 4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5458 divided by 1.\nAnswer: 5458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, w: 1, s: 2, x: 1, b: 1, u: 1}. What is prob of picking 2 s, 1 u, and 1 b?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 231775\/198654 + -2\/33109. Let q(f) be the second derivative of 29*f - 1\/2*f**5 - 1\/15*f**6 + 0*f**2 - u*f**4 + 0 - f**3. Factor q(a).\nAnswer: -2*a*(a + 1)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 40*p + 227. Let n be y(-5). Let x = 0.04 + -0.44. Which is the third smallest value? (a) n (b) 1\/3 (c) 2\/19 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*n + (-4 + 5 - 2)*(30259 - 428*n - 30259).\nAnswer: 426*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 30585\/10)*26\/1. Let z = n - -136289. Suppose 0 = -4*g - 22842 + z. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3105 is divided by 86?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -963*w**2 + w. Let p(a) = -481*a**2. Let c(o) = 3*b(o) - 5*p(o). Let y be c(-8). What is y rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -891*z = -886*z + 3*s - 8*s + 20, 2*z + 13*s = -8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69.4 - 97. Let k = c + 27.7. What is the second biggest value in 4, -0.3, k, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32200 and 60?\nAnswer: 96600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -204 + 302. Let q = -2198190930.9999897 - -2198191029. Let g = j - q. What is g rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10493755?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqe when three letters picked without replacement from {e: 1, j: 1, s: 1, q: 1, i: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**4 + 190*l**3 + 155*l**2 - 15. Let j(y) = -3*y**3 - y**2 + 1. Let t(f) = -h(f) - 15*j(f). Factor t(w).\nAnswer: -5*w**2*(w + 1)*(w + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*(sqrt(432) + 1 + sqrt(432)*-2) - (5 + (sqrt(432) + (sqrt(432) - (-1 + sqrt(432))) + -5 - sqrt(432)))))**2.\nAnswer: -12000*sqrt(3) + 270400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 45 = 11*z. Solve -4*a + z = -m, 4*m = -2*a - m + 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 355360.\nAnswer: 355360","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 310941 - -486.163247?\nAnswer: 311427.163247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 7 + 2 = -4*b, b = 2*m + 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 212*u**3 + 5*u**2 + u - 10. Let i be w(8). Let b = i + -72463. Let q be (1 + b)*1500\/(-14). What is q rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojyekjj. What is prob of sequence ko?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/39 (b) 1 (c) 48 (d) -2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/68694 and -79\/4922.\nAnswer: 1579962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40505096 < 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 780.54 - 2.54. Let v = g - 779. Let s = -21 + 7. Is v < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -121220?\nAnswer: -121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26589, 38442, 50295, 62148, 74001?\n\"Answer: 11853*z + 14736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 14*s - 84592. Let k(a) = -5*a + 28197. Let j(x) = 8*k(x) + 3*q(x). Let t be j(0). Round t to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 5*z**2 + 24*z - 7. Calculate q(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - -1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7207, -14284, -21375, -28486, -35623, -42792?\nAnswer: -49999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8441344l?\nAnswer: 844.1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 65915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -1. Let f be 225484\/6 - (-4)\/12. Let x be f\/6*926 + d. What is x rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -11 + 7 + 9 - (-5847 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0507199m in micrometers?\nAnswer: 50719.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, c: 16}. What is prob of picking 3 t?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5610)\/(-440) - (-7)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 65271.17 centuries?\nAnswer: 652711.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2344738, 4689476, 7034214, 9378952, 11723690, 14068428?\n\"Answer: 2344738*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 3029374?\nAnswer: -3\/1514687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3003422020 (base 5) in base 11?\nAnswer: -3383a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 16 = -4*u, -2*c = u - 5*c + 4. Suppose u*x + 59 = 91. Solve x*i + 12 - 28 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a kilogram in grams?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*38.897.\nAnswer: 505.661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b*b\/b**6)\/b*b*b)**50*(b**11)**(-24) assuming b is positive.\nAnswer: b**(-314)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w + 5*o - 15, 0 = -4*w + 2*o - 6. Suppose w*a - 2*a = -16. What is the least common multiple of 5 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4843*-0.4.\nAnswer: -1937.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11239902 divided by 1\nAnswer: 11239902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 28485023.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 12:16 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-70691)\/(12\/8*-1) - (-590)\/354 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 284 + -282 + -1 + (2 - 1) - 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = -0*q - 56 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/100*(-4 - -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 1, 48, 0.07?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 - (2 - 1 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**4 - j**3 + 287*j**2 + j + 2373.\nAnswer: 24*j**2 - 6*j + 574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543770.\nAnswer: 2, 5, 54377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millennium in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 17 - 4 + 1 - 2*g. What are the prime factors of v(-6)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(704) - sqrt(704)) + sqrt(704) + -3)**2 - (0 + sqrt(704))*-6.\nAnswer: -48*sqrt(11) + 2825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3178, 6382, 9614, 12886, 16210, 19598?\nAnswer: 23062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/22)\/(q\/q**(-21)*q) assuming q is positive.\nAnswer: q**(-505\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 4*m**2 - 4*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**3 - 128*k**2 + 2924*k + 80808 = 0?\nAnswer: -37, -21, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 109 + 110 - 7*f + 102 - 10*f**2 + 215 - 525. Suppose -3*t - 13 = 14. Determine w(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -49*i - 14. Let p(j) = -26*j - 6. Let t(g) = 3*a(g) - 7*p(g). Let s(w) = 6*w + 7. Let l(k) = -2*k - 2. Let f(o) = -7*l(o) - 2*s(o). What is t(f(m))?\nAnswer: 70*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17 + -21 + (-161)\/(-40). Let c(m) be the second derivative of 0 - 2*m - 1\/24*m**4 + 0*m**2 + 0*m**3 - k*m**5. Solve c(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -146278686 and -132.4093?\nAnswer: 146278553.5907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3906884781?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19681026, -19681039, -19681052, -19681065, -19681078?\n\"Answer: -13*f - 19681013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.43 and -0.131568.\nAnswer: 0.298432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1065*12\/(-36)*(46\/(-23) - 22\/(-10))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001011010 (base 2) in base 9?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*d - 51, i + 3*d = -0*i - 2. Suppose 0 = w - 6*w + 15. Let n = i + w. What is the lowest common multiple of n and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (286\/(-7007))\/((-3)\/(-7))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -954.091 to the nearest 10.\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53372, 106745, 160118, 213491, 266864, 320237?\nAnswer: 373610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4373442790 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -43, 15\/11, -1624?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51? (a) -0.1 (b) -13 (c) -0.2 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**3 + m + 1. Let l(q) = -45*q**3 + 25*q - 95. What is 12*c(w) - l(w)?\nAnswer: -3*w**3 - 13*w + 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2\/3, -4, -0.1, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2586 = q, 7*q + 3449 = 4*d + 6*q. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-7)\/p)\/p*p)\/p)\/p)**(-2\/11)\/(p**(-1\/10))**(-38) assuming p is positive.\nAnswer: p**(-109\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 7974771?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/2, 9\/7, 105.1 in ascending order.\nAnswer: 1\/2, 1, 9\/7, 105.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -916, -2, 4, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/11, 29, -95637 in ascending order.\nAnswer: -95637, 4\/11, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -627 + 632. Solve 0 = -7*s + 3*s - i*r + 37, 5*s + 3*r = 30 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 485658503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (195\/(-25155))\/((-18)\/(-54))?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(209) + sqrt(209) + -1*2*sqrt(209))*-4)\/((sqrt(891) - sqrt(11))*-3 + sqrt(33)\/sqrt(3)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1592046*v**4 - 2*v**3 - 4*v**2 - 98857005*v?\nAnswer: 19104552*v**2 - 12*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4 - 3*r**2 - 4*r + 6*r**2 - 2*r**2. Suppose 10*g - 13*g - 54 = 0. Let y = g - -23. Calculate t(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-6)*(-18)\/(-4))\/(-1). Suppose 0*q = -3*k + q - 6, z*q = 4*k + 8. Is (-3 - -4)*k\/2 - -1004 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -15. Suppose p = 2*v - 21. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1 = -5*g + 1, 11 = 3*k - g. Suppose -2*v - k*v + 25 = 0. Let n(f) = 8*f + v*f + 10*f. Let m(b) = -b**2. Determine m(n(d)).\nAnswer: -529*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*q + 10*q + 2*i - 305, 4*q + 4*i + 380 = 0. Let r = q - -103. Calculate the highest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*(m*m\/(m\/m**(-2\/3)))\/m*m*m)\/(m*m**(-2\/29)))**(1\/70)\/((m**(-3\/2))**(-1\/24))**(-1\/68) assuming m is positive.\nAnswer: m**(164069\/3312960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-581)\/(-7)*(-12)\/(-4)*(-1)\/((-3)\/(-1))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3959803 seconds in hours?\nAnswer: 0.00233221675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 5, -0.1, -0.353, -5, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367828?\nAnswer: 2, 91957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -32. Let i = -3 + 4. Suppose -2*y = -y - i. Solve y + 5 = -t*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010235 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33768 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 1\/6 (c) 7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, 3, 0.033, 2, -1.1, 0.4, -13\/44?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2308 + -2305. Suppose 0*i**2 - 2\/7*i**5 + 0*i + 2\/7*i**4 + 0*i**x + 0 = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i - 2 - 4. Let b be 0 + 3 + -4 - i. Suppose b = 5*r - 4*r - 76. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 84*g. Let s(x) = -5*x**2 - 159*x - 9. Let d(a) = 2*i(a) - s(a). Let c(b) = -4*b**2 + 5*b - 5. Calculate -11*c(m) - 6*d(m).\nAnswer: 2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2 - 3253*l + 13028 = 0. What is l?\nAnswer: -3257, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*c = -c - 28061, -4*c = 5*b - 46759. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17116710371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 146 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 3\/7 (b) -1\/6 (c) -2\/9 (d) 1\/3 (e) 12 (f) -2 (g) 315\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -5 - 13\/(260\/(-84)) - 435396\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - 46*343\/2. Is (q\/16)\/(3\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 9:44 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*y - 18. Let a(d) = 2*d**2 - 8*d + 5. Let w be a(4). Factor y*n + w + 3*n**2 - 5*n + 5*n - 2.\nAnswer: 3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3 + 11*t + 5*t**2 + 4 + t**2 + 0. Let d(v) = -11*v**2 - 21*v - 13. Let g(q) = -6*d(q) - 10*p(q). Find k such that g(k) = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*i - 5*s - 457, -i - s = 445. Let n = i - -665. List the prime factors of n.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 4. Let h be v(3). Suppose -756 = -81*i + 78*i. Suppose 248*w + 52 = i*w. Put w, -3, -4, h in descending order.\nAnswer: w, -3, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 856\/1498*(-147)\/2121.\nAnswer: -4\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + 3)\/(-4) - -2. Suppose u = -i - i + 4. Sort -2, i, 0.\nAnswer: -2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5595 = -5*n, -4*q + 4*n + 4458 = 2*n. Suppose 4*v - 16*v = -q. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 156 - 85. Let p = -34 + g. Suppose -4*t + 3*o + 2*o + 284 = 0, 0 = -t + 3*o + 71. Calculate the remainder when t is divided by p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 5*o + 6. Let w be u(-6). Determine l so that 0*l**2 + 0*l - 1\/3*l**4 - 2\/3*l**3 + w = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 0*g - 4 - 12*g + 6*g + 2 + 7*g. Let q(h) = 6*h - 10. Calculate -33*b(i) + 6*q(i).\nAnswer: 3*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*v = -2*y - 4, -4*v = -2*y + 16. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-13 + 9) + 120. Suppose 117*m = i*m + 887. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 5*n + 24, 3*y + 2*n - 4 = -24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1 + 131*q**2 + 117*q**2 - 250*q**2. Let f(l) = l**2 - 3*l - 2. Let g be f(3). Calculate u(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10411 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 68? (a) 6 (b) -1\/2 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*l**2 - 10*l**2 - 46*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -131 - -125. Let a(y) = 11*y**2 + 14*y + 17. Let n(x) = 5*x + x**2 - 3*x**2 + 6 + 6*x**2. Give l*a(w) + 17*n(w).\nAnswer: 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Suppose -2 - 4 = -t*h. Suppose -h*r = -0*r + 126. Round r to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9857 + 10266 - 20123 - 4*x - 12*x + x + 0*x.\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 579 - 47*t - 2*t**2 + 678. List the prime factors of w(-37).\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6506 is divided by 518?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f - 5. Let a be r(-4). Suppose -k = -a - 11. Let v = 23 - 13. What is the highest common factor of k and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53334*p**3*q**2*t**3 - p**3*q*t**3 + 2*p**3 - 21*p**2*q*t**2 - 326*p*q**2*t**3 - 115*p*q*t**3 - 435*p*t**3 + q*t**2 wrt q?\nAnswer: -106668*p**3*t**3 - 652*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*-1)\/(6\/(-30)). Let o = -1 + i. Which is the second biggest value? (a) 1\/4 (b) o (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 3*m - 5. Let a be b(-2). Solve 0 = a*v - 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 6*n - 8. Suppose 5*j = x - 27 - 20, -5*j - 255 = -5*x. Let i be (-30)\/(-45) - x\/6. Give r(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 13*d**2 + d. Let j(f) = 2*f**3 + 17*f**2 - 7*f - 6. Let k be j(-8). Let q = k - 115. Give o(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-19)\/z*z**13 assuming z is positive.\nAnswer: z**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*p + 3*b = 4, -b = p. Let g(d) = -d**2 - 2*d - 1. Let i be g(p). Suppose 0 = -i*f - 3*f + 30. Calculate the lowest common multiple of 18 and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1841, 7378, 16607, 29528, 46141, 66446, 90443?\n\"Answer: 1846*b**2 - b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*-12*(-3)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -283 + 839 + 207*q**3 - 280 - 278 + 463*q**3 to n*q**3 + o*q + l + d*q**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 536297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 9 = -3. Let j = 12 - q. Let 20*o**3 - j*o - 23 - 2*o**3 + 15 + 6*o**2 = 0. Calculate o.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 256 + -171. Let n = -22 + i. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 10 = 2*r, 4*r + 112 = -4*k. Let h(q) = 4*q - 59. Let j be h(-4). Let l = k - j. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -79. Let s = 17 + x. List the prime factors of s.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -214620 (base 10) to base 7\nAnswer: -1552500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.04 (b) 1 (c) -1 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 19. Suppose -252 + 1644 = 136*p - 112*p. Let h = p + b. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwwwwppw. What is prob of sequence wp?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.9859 * 3.39.\nAnswer: -30.462201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.24 - -0.76. Let o = 66 - z. Let w = o + -31.0285. Round w to three decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**4\/7 + 8*a**3\/7 + 20*a**2\/7 - 8*a + 30\/7 = 0.\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14*2\/4*-1. Let l(h) = 39*h - 76*h + 39*h + 4*h**2. Let b(m) = -13*m**2 - 7*m + 1. Give p*l(d) - 2*b(d).\nAnswer: -2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + 3*n + n**2 + (1 + 0 + 2)*(-6*n**2 + 7*n - 7*n) + 3 - 3 + 3*n**2.\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2460 and 174578?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 85*v + 41. What are the prime factors of r(13)?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 860\/13, 2.62.\nAnswer: 0.6, 2.62, 860\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15a1b - -424?\nAnswer: -155c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 124 (b) 1 (c) -1 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 2*h + 1. Let i(w) = w**3 - 11*w**2 + 8*w - 26. Let v = 23 - 12. What is the lowest common multiple of m(3) and i(v)?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - i. Let q(u) = u**3 + 8*u**2 + 8*u + 6. Let n be q(-7). Let b(d) = 2 - d + 5*d + 0 + 6*d**2. Give n*b(r) - 4*z(r).\nAnswer: -2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 4:54 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17712 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12109472 - m**3 + 12109472.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a - 88342?\nAnswer: -88328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1767*s - 157799 + 25274 = 0 for s.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1499 + 2298. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 13*k**2 - 12*k. Let g be z(-12). Solve 5*i + g*f + 15 = 5*f, -4*i - 2*f = 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q - 2. Let i(r) = -15*r - 6. Give -11*c(g) + 4*i(g).\nAnswer: -5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3910 a factor of 392786870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.93261ml in litres?\nAnswer: 0.05293261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**6\/360 + 11*y**5\/120 + y**4\/4 - 10*y**3\/3 - 20*y**2. Let d(j) be the first derivative of t(j). Determine d(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-70)\/21*(-12)\/50. What is the nearest to 0.2 in -0.2, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 10:02 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from {v: 1, x: 1, p: 1, i: 1, c: 2, k: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9669.991 centimeters to millimeters.\nAnswer: 96699.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*p - 2416148 = 2186194. List the prime factors of p.\nAnswer: 45121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:29 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-10))\/((68\/40)\/17). Suppose -5*u + 12*p = g*p - 192, -74 = -2*u + 3*p. Calculate the lowest common multiple of 4 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4146311, -8292623, -12438935, -16585247, -20731559, -24877871?\n\"Answer: -4146312*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 143799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**4\/4 - k**3 - 9*k**2\/2 + 28*k. Factor y(s).\nAnswer: 3*(s - 3)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4742606 is divided by 388?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66760.\nAnswer: 2, 5, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + -537dc4c?\nAnswer: -537dc42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 - 8*r**3 - 3 - 13*r**4 - 20*r**4 + r**2 - 14*r**4 + 46*r**4 to w*r + t*r**2 + u*r**3 + j*r**4 + m and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 11*y - 9. Let m be a(12). Solve -m*j + 10 = i - 10, -4*j - 5 = -5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 = 48*y - 64*y for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 + 4*w. Suppose 1 = m + 3*r, -5*r - 1 = -m - 16. Let u(j) = j**3 - 5*j**2 - 5*j. Calculate m*i(t) - 4*u(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-9)\/(-3) + 4. Suppose -z*f = -8*f + 54. Suppose 4*t = 5*t + q - 12, 2*q = t - f. Calculate the remainder when t is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -306140, -14 in increasing order.\nAnswer: -306140, -14, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -159029*w + 2*w**4 + 159028*w - 171 + 2*w**3 - 2*w**3 + 2*w**2 to the form s*w**4 + a*w**3 + b*w + x*w**2 + z and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 9)\/(9*(-55)\/99).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*z**2\/2 - 123531*z\/2 - 20589.\nAnswer: 3*(z - 13726)*(3*z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.957 to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064663.42 rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21440000 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95.8 - 96. Is -1 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 20*f + 3. Determine t(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 3*q + 3*q + q**2)*(4*q**2 - q**2 - 2*q**2) + 9*q**4 - q**4 - 4*q**4.\nAnswer: 5*q**4 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -7*u + 38 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/2 - 9*k**2 - 291*k\/2 + 945.\nAnswer: 3*(k - 9)*(k - 7)*(k + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 14*r**2 - r + 6. Let h be o(-14). Let d = 62 - h. Suppose 4*n - 3*y = 780, n - 5*y = d + 170. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(17)*-3 + (sqrt(68)*-2)**2.\nAnswer: 12*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 894 + -7?\nAnswer: 88a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, 0.2, -3, -12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + m. Let d be s(1). Suppose -3*o - u + 18 = 0, d*o + 3*u + 0 = 5. Let k be 18\/(-81) - o\/9. Which is bigger: -3\/8 or k?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 53\/46?\nAnswer: 53\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (42\/45)\/(1\/70)*(-12)\/(-8). What is the highest common divisor of 833 and z?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((-4)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-369)\/(-4))\/(67\/268). Calculate the greatest common divisor of 153 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -467, -414, -331, -206, -27?\n\"Answer: 2*n**3 + 3*n**2 + 30*n - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300 and 2673?\nAnswer: 267300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 29 = -5*v, 0 = v - 5*k + 4*k - 1. Calculate the remainder when (-2 + v)*104\/6 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n**2 + 2319550*n - 422323720 = 0.\nAnswer: -464092, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i + 273 - 15 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*p - 57*p = 150. What is the greatest common divisor of p and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 990007 is divided by 8250.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33049 + 2809223\/85. Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*c**4 + 182*c**2 + 45*c - 182*c**2 + 645 + 59*c wrt c?\nAnswer: 12*c**3 + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -8*p. Let c = 468 + -464. Determine d(c).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3472 + 641 = -43*z + 1516 - 133 for z.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21546*l = 21427*l - 1190 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 5*sqrt(77) + sqrt(77))*-3)\/(sqrt(14)\/(sqrt(8) + sqrt(2))).\nAnswer: -63*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503294 (base 10) in base 5?\nAnswer: 1120101134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-17)\/1)\/(2\/(-6)). Suppose -2*k - r = -5*k. What is the greatest common factor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 + c**2 - 2 + 9 - 260*c**3 + 0 - 7*c**2 wrt c?\nAnswer: -1560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004583 rounded to seven dps?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 552494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82884.78 millilitres to litres.\nAnswer: 82.88478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*b**2 + 28*b**3 + 28*b**2 - 8*b**3.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 359205 + 87603. Let p = m + -446595.867. Let h = p + -212. Round h to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.97032 - -0.02968. Let y = -0.2 - 0.8. What is the closest to 2 in y, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278288969 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q + 3. What is y(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 + -1165\/8. Let h = -75045\/8 + 994217\/104. Let g = -179 + h. Which is the biggest value? (a) g (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 3*g - 6, -4*x + 2*g + 16 = 0. Suppose -x*b + v = -64 + 2, -4*v = -5*b + 115. Suppose b*y = 14*y + 1975. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = -15. Let n(s) = -s**2 + 11. Let t(v) = -v**2 + v + 10. Let x(j) = -3*n(j) + 4*t(j). What are the prime factors of x(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*d + 21, -5*d + d - 4*k + 32 = 0. Suppose 0 = 2*f - d*w - 135 - 125, -4*f + 5*w = -530. Calculate the greatest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*w - 2*p + 100, -w = 2*p - 25. What is the remainder when 8 is divided by -6 + 15*w\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4627, 0.03, 0.1, 5, -1\/2, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o - 2*o + o + (-2 + 0 + 3)*(4*o + 0*o + 11*o)*(2 + 2 - 2)*(4 + 2 - 3) to the form x*o + j and give x.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 - 2*m**4 - m**4 - m**3 + m**3 - m**4 + (-2*m + 10*m**3 - 21*m**3 - 6*m**3)*(5*m - 3*m - 5*m).\nAnswer: 49*m**4 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 10*f + 3. Suppose 2*p = p - 3. Let y(a) = -248 - 240 - 2*a - 5*a + 480 - 22*a. Calculate p*y(i) - 8*j(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3240811 and 5453.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000351922 to 6 decimal places.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 223\/495 + -8\/45. What is the second smallest value in j, 1\/5, 2, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(10)*-2)\/sqrt(5) + 5.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 4*l - 2*l + 2*l - 15. Let y be f(4). Suppose -y*m + 1620 = -2*m - 2*x, -5*m - 4*x = -2722. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imi when three letters picked without replacement from iiyimyim?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 4752*y**2 - 1858460*y - 7. Give g(-430).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 10) to base 13\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + (5*(sqrt(1900) + 2) - sqrt(1900))**2).\nAnswer: 4000*sqrt(19) + 152525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 653, 654, 655, 656?\n\"Answer: r + 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*i**2 + 57*i**2 - 13*i**2 - 13*i**2 - 12*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07831443 - -75.20265443. Let n = 0.76966 + u. Let m = n + -76. What is m rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*u + 35*u = -2047. Is 67 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -887920 divided by 1009\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -348 - 3?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(-3 - 5 - 3)*(-1 - 2*n + 1) as j + l*n and give l.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9908, 9912, 9918, 9926?\n\"Answer: r**2 + r + 9906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvkznlznlbllzvznv. What is prob of picking 2 b and 1 k?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1480744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3611 - 2907. Let u be (0 - -2)*734\/4. Let f = c - u. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3293 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/(n\/n**(-1)*n)*n*n))\/n)**(-36))**24\/(n\/(n\/n**(-1\/6))*n*n**5*(n**5\/n*n*n)\/n**(1\/2)) assuming n is positive.\nAnswer: n**(2558\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39802 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: Suppose -l + 6*l - 30 = 0. Let d be 11\/4 + l\/24. Solve 5*s + 5 = q - 6, d*s = q - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 7. Let f = 7 + l. Which is smaller: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-14) + 93\/(-21). Let q be (1 - (-5)\/b) + (-16237499)\/2244. Let t = 7237 + q. Calculate the common denominator of t and 26\/51.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 4866816?\nAnswer: 4866816.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/14*14\/(-4). Let m be 2 - (6\/k)\/2. Factor -3\/2*y**2 + 3\/2*y**4 + 0*y - 3\/2*y**3 + m*y**5 + 0.\nAnswer: 3*y**2*(y - 1)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 422 - 22. Suppose 5*h + 16 = t. What is the remainder when 34 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -2\/3, -2, -80?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757985695?\nAnswer: 5, 61, 1123, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**4*k - 127*a**3*k - 10*a*k + k wrt a.\nAnswer: -12*a**2*k - 762*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/14 - (-105)\/882*(-10)\/(-13).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4676\/(-1169)*(-7)\/(-12)*(-9)\/(-6).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -118*x**3 + 3*x**2 + 4*x - 12. Let a(b) = -354*b**3 + 8*b**2 + 11*b - 32. What is 3*a(r) - 8*s(r)?\nAnswer: -118*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*x**4 - 1 - 122*x**4 - 2*x + 209*x**4 - 3*x**2 + 16*x**3 as b*x**3 + r*x**2 + i*x + z + f*x**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29134556651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 4050 = 32*a - 57*a. What is the greatest common factor of 6555 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5 = 0, 2*d - 3*o + 18 - 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (78\/(-18) - -4)*(2 + 0). Suppose 0 = -3*g - h + 280, 3*g - 270 = -2*h - h. Let s = g + -473\/5. Which is the nearest to l? (a) s (b) -4\/3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13\/40 - -1\/8. Which is the biggest value? (a) 5 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2312335342?\nAnswer: 2, 17, 6949, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 30.4 (c) -7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - -1000011?\nAnswer: 222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*(-7)\/56*6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-28975)\/(-35) - ((-12)\/14)\/6?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.13885 + 8.9699. Let g = 1.84 - b. Round g to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -2 + 2 + 9 + 1 - 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 7*o**2 - 26*o + 9. Calculate i(6).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/(y\/(y\/(y\/y**(-6)))))\/y)*y\/(((y**2*y)\/y*y)\/y))\/(y**(3\/4)\/y*y\/y**0*y))\/((y**(-4))**(-2\/65))**(-3\/5) assuming y is positive.\nAnswer: y**(6921\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30*o - 17 + 3 - 19 + 215*o + 16*o wrt o.\nAnswer: 201","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1904, 3807, 5710, 7613, 9516?\n\"Answer: 1903*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/60)\/(((-3)\/10)\/(-1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 + 5*v**2 + 50*v + 87. Give z(-4).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**7\/1260 + u**5\/40 + u**4\/12 + u. Let a(s) be the third derivative of c(s). What is the derivative of a(d) wrt d?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 28695*i**2 + 17*i - 3*i**3 + 14351*i**2 + 14341*i**2 to q + o*i**2 + n*i**3 + b*i and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41885688827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3852319?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -72, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*i = 2*a + 5, -5*i = -3*a + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3025.728732 rounded to the nearest ten?\nAnswer: -3030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12513 - 35?\nAnswer: -12548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7639956 litres?\nAnswer: 763.9956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u - 4. Let f be a(4). Let p(d) = d**3 - 10*d**2 - 11*d - 8. Let g be p(9). Is (g\/f)\/(1\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62 - 68*y**2 - 57 + 0*y + 2*y + 13*y**2 wrt y.\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 276, 292, 314, 342, 376, 416, 462?\n\"Answer: 3*m**2 + 7*m + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -2\/5, -0.2, 0.1, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001001111100101111100 (base 2) in base 5?\nAnswer: -4212331440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 4*x**2 + 5. Let p be b(-4). Let l(u) = -p - u + 2*u - 7*u. Is l(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l**2 - 4*l**2 + 0*l**2 as v*l**2 + a + x*l and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14661)\/(-3258))\/((1 + -31)*(-1)\/4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 13*m + 45. What is b(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 1229*j - 45. Calculate r(0).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-22) + (-120)\/55. Let j(d) be the second derivative of d**3\/6 + 3*d**2\/2 + 2*d. Let u be j(g). Which is smaller: 6\/29 or u?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1203423712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1022*t = -827*t - 1560 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32148 and 523773?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 180 - -2281?\nAnswer: 2461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 48 = t. Suppose 127*m = -484*m + 21437 - 1885. Calculate the highest common factor of t and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*(sqrt(170) + (sqrt(170) - sqrt(170)*1)) - sqrt(170)))\/((sqrt(250) + sqrt(250)*1)*-2).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(128) - sqrt(128)*-2 - sqrt(128) - sqrt(20)\/sqrt(40))*4.\nAnswer: -124*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 1)\/((-8)\/60). Suppose 3 = -2*j + i. Calculate the smallest common multiple of j and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -3, 379, 91 in descending order.\nAnswer: 379, 91, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/2 - -3\/14. Let n = -2.3 - -1.4. Let i = -2.1 + n. What is the third smallest value in v, i, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**4\/6 - 9*j. Let a(r) = -r. Calculate b(a(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d. Suppose 4*r + 1 = 5. Let t(s) = -5*s. Calculate r*t(n) - 6*k(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -165.9 + 263.14. Round p to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -289004, -289006, -289008, -289010, -289012?\n\"Answer: -2*y - 289002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444971208?\nAnswer: 2, 180621401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4962?\nAnswer: 2, 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 7*s**2 + 4*s + 8. Suppose -12 = -4*l - 0*l. Suppose -2*q - 7 = -l*q. What is the tens digit of p(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - i**2 - 3)*(1 - 2 - 3 + (3 - 3 - 2)*(3 - 3 + 1)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181*0.4.\nAnswer: 72.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 = -2*g. Let y = g - 0. Solve -4*w = 5*m + 37, 2*w - 4 = -y*m - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3411 - 2303 = -339*z + 4322 + 3185 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -6, -7721 in ascending order.\nAnswer: -7721, -6, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129.3 + -129. What is the closest to 2\/3 in 0.2, t, -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 4*p**2 - 4*p - 38. Let m be a(6). Solve 13*q = m*q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*k + 239*k - 215 = 0. Let t = k - 38. Solve 21 = -t*l - 2*w, -6 = -4*l + 5*w - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-67)\/(-30) + (-34)\/340 and -10\/39.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(18) - sqrt(2)) + -5.\nAnswer: -8 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6091 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 184355029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.73 + 0.03. Which is the third smallest value? (a) -3\/2 (b) x (c) 0 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 5*h - 6. Suppose b - 2*v = -6, 3*b = -0*v - v - 18. Let d be j(b). Is 1\/3 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13250 + 13252. What is p in -2\/9*p**q + 8\/9*p + 8\/9 - 2\/9*p**3 = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g - 26. Let r be x(14). Suppose -r*t + 6*t = 3284. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i - 3. Let c be i\/(-1 - (-2)\/3). Suppose 2*l + 10 = 2*d, -2*d + l = d - 7. Put c, d, 2 in descending order.\nAnswer: 2, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8431590 and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11846.\nAnswer: 2, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 2*a**6\/5 - 5*a**2 - 12*a. Differentiate z(t) wrt t.\nAnswer: 48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 133090890?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1.5. Let f be ((-1 - 0) + 0)\/(-38 - -39). Let k = 3 + -7. Which is the nearest to f? (a) 0.4 (b) h (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*t - t - 9303, 0 = -t + 5*p - 1845. Let k = -608 - t. Let r = -27477\/22 + k. Calculate the common denominator of 21\/4 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times -647.5\nAnswer: -712.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/7 + 19814*q**4\/7 - 65399388*q**3\/7 + 10258329056*q**2 + 51469341952*q + 61830580224 = 0 for q.\nAnswer: -3, -2, 3304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16242072, -32484136, -48726200, -64968264, -81210328?\nAnswer: -97452392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 6. Let d = -0.18 - 0.02. Suppose -i - 4*i = 0. What is the closest to -1\/6 in i, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 33840*s - 9600. Let x(c) = -494*c + 140. Let i(a) = 7*t(a) + 480*x(a). Let z(y) = -4*y. What is z(i(u))?\nAnswer: 960*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -29) + -1 + -5 + (-5 - -4) + 11\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w**3 + 25*w**2 + 19*w + 15. Let n(p) = -5*p**3 + 12*p**2 + 9*p + 7. Let c(q) = 13*n(q) - 6*z(q). What is the tens digit of c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69340803?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31970173*j**6 + 97297*j**2 + 15*j wrt j.\nAnswer: 3836420760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**3 + 34556000*h**2 = 0.\nAnswer: -17278000, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*c + 47*c + 3377400 = 0. List the prime factors of c.\nAnswer: 2, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/3 and -37\/4887.\nAnswer: 4887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2337 and 8829924.\nAnswer: 167768556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (342\/133)\/((-24)\/21)*60\/(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -55, 56 in descending order.\nAnswer: 56, 14, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71.993 + -72. Let p = 0.093 - z. What is the nearest to p in 2, 3, 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 159*n**4\/4 - n**3\/6 - n**2\/2 - 12*n. Let d be s(-1). What is the greatest common factor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1536152, 3072304, 4608456, 6144608?\n\"Answer: 1536152*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83118446 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45 or -0.1?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -19*y**3 - 6*y**2 - 6*y + 11. Let g(d) = 18*d**3 + 5*d**2 + 5*d - 9. Give -7*g(u) - 6*x(u).\nAnswer: -12*u**3 + u**2 + u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkhrlrkhrrilhhrrrh. What is prob of picking 2 h?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 10 = -h. Let s(j) = 20*j**3 - 5*j**2 + 5*j - 5. Let r(w) = 7*w**3 - 2*w**2 + 2*w - 2. Let p(q) = -17*r(q) + 6*s(q). Calculate p(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.139, -24, -0.1, 15, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2175264 and 1\/8632?\nAnswer: 2175264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**3 + h**3 + 7*h**3 - 20*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 1:21 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/4 - 10\/40. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4 (b) -18 (c) -1422 (d) -1\/6 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.5458 rounded to the nearest integer?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 118*s + 46 = 113*s, 1 = -t + 3*s. Let y(d) = d**2 + 9*d - 1. Determine y(t).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 - -55. Let v = -34.99987 - l. What is v rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + d = 5*d - 34, -5*n - 46 = -4*d. Is n smaller than -56\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19358*p**2 + 32 - 19360*p**2 - 32 - 151*p.\nAnswer: -2*p**2 - 151*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 8952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**2 - 8*l + 4. Let r(b) = 4*b**2 - 7*b + 4. Let g(p) = -3*r(p) + 2*s(p). Let h be g(3). Let f be h\/28 - (-42)\/8. Solve -2 = f*d + 18 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 11.4.\nAnswer: 45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**(17\/6)\/h)*h**(-21)*(h\/(h*h**(1\/29)\/h*h*h))\/h*h*h\/((h*h*h**(-19\/2)*h)\/h) assuming h is positive.\nAnswer: h**(-1250\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 - 26*o**2 - 32*o + 61. Calculate t(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**4 + 616173*o**3 - 9769*o**2 + 6*o + 6?\nAnswer: -72*o + 3697038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 814 is divided by 117?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 4\/3*l - 2\/27*l**3 - 108 - 1\/9*l**2. Factor k(g).\nAnswer: -2*(g - 2)*(g + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1302 divided by 6?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + -57. Let f = r - -117. What is the remainder when f is divided by 8\/(-12) + (-92)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**4\/12 - 3*a**3\/2 + a**2. Suppose -43*f = -50*f - 301. Let z = 50 + f. What is l(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 13784?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 132\/5 + 6\/(-15). Let u be ((-2)\/(-4))\/((-1)\/(-26)). What is the highest common factor of u and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/3)*x\/x**(2\/3)*(x\/(x*x**(2\/21)\/x)*x)\/(x*x\/x**10) assuming x is positive.\nAnswer: x**(229\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -5783 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3663 = 4*p - 13747. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27474808 divided by 13737404?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 3*t**2 + 4*t + 6. Let d be z(-4). Suppose -2*i = -4 - d. Let m = 3 + i. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6))**(9\/4)\/(q*q*q**(1\/3)*q**8) assuming q is positive.\nAnswer: q**(-143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 59, 93, 127?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g + 13. Let s(a) = 44*a - 38. Let u(q) = 7*b(q) + 2*s(q). Calculate u(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 7*p - 5. Let i(x) be the third derivative of -x**5\/60 - x**4\/8 + x**3\/3 - 21*x**2. What is 5*i(a) + 2*t(a)?\nAnswer: -3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a - 4348 = -4252 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 10045*a + 246. Let b(m) = 324*m + 8. Give -246*b(o) + 8*w(o).\nAnswer: 656*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, w: 3}. What is prob of sequence wbw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/71 or -824?\nAnswer: -824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6462 (base 15) to base 3\nAnswer: 1002010202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -365861, -365878, -365895, -365912, -365929, -365946?\n\"Answer: -17*q - 365844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4371 divided by 4.\nAnswer: -4371\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1, 11, 23, 35?\n\"Answer: 12*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((1 - -26)\/(-3))\/(-1). Suppose -a*h = -400 + 121. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 z when two letters picked without replacement from zmmzmmmzzmmmmmzm?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2664 divide 3508927560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5442278730 to the nearest integer?\nAnswer: 1759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -9. Let t(y) = 7*y**2 + 11*y - 1. Let n(v) = v**2 + v - 1. Let q(w) = i*n(w) + t(w). Factor q(l).\nAnswer: 2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 6, d: 3, s: 3}. What is prob of sequence ed?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 176*r - 121. Determine t(1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 0 - 36\/5*x**2 - 24\/5*x - 6\/5*x**3 + 3\/5*x**5 + 9\/5*x**4 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 335*d**2 - 1 - 10 + 3 + 1118*d**2 + 6 as i*d**2 + y + b*d and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 5*l**2 + 2*l**2 + (l**2 + 8*l**2 - l**2)*(3 + 0 - 5) + (2*l**2 + 2*l**2 - 5*l**2)*(5 + 10 + 11).\nAnswer: -43*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9239 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*j = 33146, 26*w - 25*w - 2*j = 8285. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.31 + -37739.45217?\nAnswer: -37738.14217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-8 - (0 + 3 + -5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 - 0.3. Let h = -0.12 - 3.88. What is the third biggest value in c, 2\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/sqrt(7))\/sqrt(9) - -4*sqrt(405).\nAnswer: 37*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/24*(-1)\/((-28)\/16).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (9 + -4 + 3)) + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132 + -148. Is 303*(m\/(-6) + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/6)\/((-2)\/18). Suppose -1490 = u*s - t + 3*t, -2520 = 5*s - 4*t. Let i be (-46)\/(1502\/s - -3). Round i to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24957709 to the power of 1\/2, to the nearest integer?\nAnswer: 4996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdvvvdvddd. Give prob of picking 2 v.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 - m - 4. Determine q(3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 86819, -4, -25.\nAnswer: -25, -4, -1, 4, 86819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - n - 5. Let f be c(0). Let v = -87 - -87.47. Let k = v + -0.17. Put k, 3\/5, f in decreasing order.\nAnswer: 3\/5, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 214.2163nm?\nAnswer: 0.0000000002142163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3625\/(-1232) + 2 + -3 + (-378)\/(-98) and -19\/176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-63)*18\/12*16\/(-12).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbaanwqannaqwaaaauq. What is prob of sequence nub?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -12*i - 569. Calculate the remainder when 568 is divided by l(-51).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*q = -q - 32, -3*h - 5*q = 16. Let u be (h - 100\/32)*(-2 + 0). Let a = -0.3 + -0.7. What is the third smallest value in u, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t + 4 - 4*t + 4*t - 3*t**2. Let k be ((-15)\/(-9) - 2)*-9. Let r(u) = 4*u + k*u + 3*u + 5 - 5*u - 4*u**2. Calculate 6*b(d) - 5*r(d).\nAnswer: 2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -1, -483.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 11*i**2 - 11*i - 26. Determine c(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 9*i - 118. Let x be l(13). List the prime factors of (-48)\/48 + (-1 + x - -347).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54393 - ((-264)\/(-22) - 23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5374 + -5a?\nAnswer: -5423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**7\/1050 - q**6\/50 - q**5\/300 + q**4\/10 - 1845*q**2. What is j in w(j) = 0?\nAnswer: -1, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, b: 3}. Give prob of sequence ppb.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2301, -2.\nAnswer: -2, 6, 2301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38\/266 + 19711\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1663463356 divided by -4\nAnswer: -415865839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 - 3 = 23*h. Solve 0 = h*r - 4*c + 5, -r + c = -c + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 55*w - 121. Let h(z) = -12*z. What is -b(r) - 5*h(r)?\nAnswer: 5*r + 121","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 73*b**3 + 4*b**2 - 6. Let z be t(-2). Let k = z - -588. Let g(o) = o**3 - 14*o**2 + o - 2. Calculate g(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - m - 2*m**3 + (-3*m + 5*m - m)*(m**2 - 2*m + 2*m) - 3*m**2 - 2*m**3 + 3*m**2.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**2 + 79. Let z(s) = 2*s**2 - 53. Let b(m) = -5*n(m) - 7*z(m). Let a be b(-6). Solve i = 4*c + 15, 3*i - a = -3*c + 4*c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6939 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/778570 and -149\/2034.\nAnswer: 7007130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = 5*a. Let l be ((-2)\/(20\/1285))\/(a\/12). Suppose -8*x + 5*x + l = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, r: 12, d: 1, t: 1}. Give prob of picking 1 d and 1 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v = 25*v - 322. What are the prime factors of v?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 16490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 112*b**2 - 333*b - 30. Give o(-109).\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smasmmam. Give prob of sequence sams.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 98458015 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39597564 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/83278 and -17\/65.\nAnswer: 416390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 277782119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -181863.\nAnswer: 7\/181863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 98595 divided by 939\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*a - 1)*(-6 + 5 - 3)*(0*a - a + 0*a) + (14*a - 7*a - 13*a)*(4 - 2*a - 4).\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*g + 95312 = -24*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 940328771.\nAnswer: 5431, 173141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -9 - 6. What is the remainder when 6\/g + -2 - -16 is divided by 6\/((-1)\/(-3)*2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/31220 and 83\/240.\nAnswer: 374640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m**2 + 4*m - 4. Let g be i(2). Let z be 6\/8*g\/(-285). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 - -193. Let i = 281 - t. Solve -i = -4*s + 13 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.611430722+-1241\nAnswer: -1235.388569278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 3014?\nAnswer: -3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -247*p - 988. Let x be r(-4). Solve 0 = 2*t + z, -3*t + x*t + z = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/15)\/((108\/45)\/6*-4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/2870 and -71\/40?\nAnswer: 11480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -m - 45, -f + 3*m + m = -40. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3*(-2)\/(-48))\/(12187\/(-31338)))\/((-3)\/(-4))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6994 = 2*x, 0 = 3*x + 1 - 16. Let z = 4325 - c. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 68.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3089064*a**2 + 1780392 wrt a?\nAnswer: -6178128*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*n - 35 = 0, 3*b + 4*n + 6 = -99. What is the tens digit of (3 - b) + 2\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5166 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 0.13, 119, 0.3, -0.17, 5 in decreasing order.\nAnswer: 119, 49, 5, 0.3, 0.13, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 3:42 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 2*6\/(-12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/2 of a day?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 529 - 529. Are j and -1\/1142 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9 - (2 + 2)) + 3. What is the highest common factor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 283 - 236. What is the remainder when q is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 37925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59602576 is divided by 119.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8646778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -4*m - 45, -z + 17568 = -3*m + 17520 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(171)\/sqrt(81) - sqrt(1900)*-1.\nAnswer: 34*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -580, -1165, -1750, -2335, -2920?\n\"Answer: -585*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*o - 90*o + 1 to t*o + i and give t.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/21)\/((-6)\/21)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**6\/120 - v**5\/60 + v**3\/3 - 4*v**2. Let x be u(2). List the prime factors of 21\/2*x\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 418 + -292 + -9 + 3 + 10 + (-14 - 0)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-12)*((-146)\/4 - 1). Suppose -a - 5*s + 29 = -m, 5*s + 317 = 3*a. Calculate the lowest common multiple of a and 15.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*l - 44*l + 402*l)*(2*l + l**3 - 3*l**3 - 9*l**3)*(0*l - l + 0*l).\nAnswer: 4081*l**5 - 742*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4552207637.6 and -48.6.\nAnswer: 4552207589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*q**3 + 223 - 62 - 66*q**3 - 99 - 62.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*b + 4. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/4*(2 - 0). Suppose 504 - 694 = -38*s. Suppose 2*g = 5*g - 57. Solve -25 = -s*k, u*w + 2*k + 3*k = g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 800 and 712760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1022331 (base 4) to base 16\nAnswer: -12bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*c**2*u + c**2*y**2 - 2*c*u - 35*u*y**4 + 2 wrt y?\nAnswer: 2*c**2*y - 140*u*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1121.8009 - 1198.808. Let n = -77.08 + 0.08. Let o = v - n. What is o rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82807849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37.54 + 0.14. Which is smaller: o or 13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 39*v + 43*v + 69 = 0, -v = -2*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 2*n + 2*n - 5. Determine g(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -735*d**2 + 11 - 65*d - 84*d - 94 + 87 wrt d?\nAnswer: -1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/3, -2, -0.3, 41475, 2\/9.\nAnswer: -2, -1, -0.3, 2\/9, 1\/3, 41475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 9547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/220*11)\/(-7)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3427862794909 - 6*c - 3427862794909.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - o**2)*(2*o**3 - 4*o**3 + 0*o**3) - o**4 + o**4 - o**5 + (2*o**5 - 2*o**3 + 2*o**3)*(1 - 2 - 3) - 21*o**5 - 17*o**5 + 336 + 40*o**5.\nAnswer: -5*o**5 + 336","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 769357?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2, -0.3, 1, 460\/21?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*b**4 - b*g - b*p - 8*g*p - 71 wrt b.\nAnswer: -64*b**3 - g - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from {j: 1, q: 3, v: 4, k: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74*(-1)\/8*12\/(-24)*(9 + -1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13908e (base 15) to base 6\nAnswer: 32103555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 10. Let z be g(3). Suppose 0 = -2*m - z*m + 441. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tzt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-14) + (0 - (4 - (-8520030)\/(-42))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 10*m - 25. Let n be d(3). What are the prime factors of 5 - (-20 - n)*17?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) + 369\/36. Find the common denominator of 8\/m*(-7 + 23\/(-4)) and 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 3368611340609700 + 3368611340609700.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 118160\/17 - 6951. Which is the third smallest value? (a) -0.2 (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 1 (c) -0.75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 396847110 rounded to the nearest 1000000?\nAnswer: 397000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhdddhh. What is prob of sequence dhdh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 67, 144, 251, 388, 555?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-7))**15*v**7*v**(-4\/17)\/v assuming v is positive.\nAnswer: v**(2138\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.07, 10061749?\nAnswer: 10061749","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 3. Let w(u) = -18*u. Give k(l) + 2*w(l).\nAnswer: -34*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**5\/60 - 13*i**4\/24 - 5*i**3\/3 + i**2 - 25*i. What is z(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -950*p**5\/23 - 36180*p**4\/23 - 83108*p**3\/23 - 62832*p**2\/23 - 16310*p\/23 - 1356\/23 = 0.\nAnswer: -678\/19, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, d: 2}. Give prob of sequence dx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)\/(4*sqrt(8)))\/(sqrt(2) + (2*sqrt(2)*2 - sqrt(2))) + 3 + -1.\nAnswer: sqrt(17)\/16 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/24*(-8)\/50?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1529 * 0.3\nAnswer: -458.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21683.2l to millilitres.\nAnswer: 21683200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2*t + 6 = 0, -309*i + 2 = -308*i + 3*t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4203830*f - 6780417 wrt f.\nAnswer: 4203830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360 - 347 - 222 = 1236*v + 1543 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/6 and 0 - (1 - 1) - (-154)\/48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u**3\/5 + 204*u**2\/5 - 63*u = 0 for u.\nAnswer: 0, 5\/3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 + 11*g + 7. Let l(p) = 9*p**3 - 14*p**2 - 2*p - 5. Let s be l(2). Let x(i) = i**2 - 6*i - 4. Calculate s*x(q) + 4*c(q).\nAnswer: -5*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/4))**(2\/3)\/(c**(1\/4)\/(c*c\/(c\/c**0))) assuming c is positive.\nAnswer: c**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.36 and 1.09.\nAnswer: 3.6624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -9*g**5\/2 - 3747*g**4\/2 + 441993*g**3\/2 + 594723*g**2\/2 + 74496*g = 0?\nAnswer: -512, -1, -1\/3, 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 118, 415, 906, 1591, 2470, 3543, 4810?\n\"Answer: 97*a**2 + 6*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76311?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/19151 and 48\/11.\nAnswer: 19151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1152\/(-2))\/(-32) + -30.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/6095 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)*1 + sqrt(9))*-2)\/((-5*sqrt(18) - sqrt(18))\/sqrt(6))*-5.\nAnswer: -10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -11d8?\nAnswer: 11d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 y when four letters picked without replacement from akykakaykayyyyyyy?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + -5 + (-3 - 66\/(-68)). Let y = u - -73\/170. Put 2\/11, y, -0.7, 0.5 in decreasing order.\nAnswer: 0.5, y, 2\/11, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 3\/2*l**2 + 1\/2*l**4 - 1\/3*l**3 + 2*l + 0. Let k be v(-4). What is k rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*b + 459, a + 149 = 2*a - 2*b. Let s = a + -78. What is the units digit of s + (6\/3 - (4 + -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5 = -0, 2*j = -2*l + 18. What is the lowest common multiple of j and 41?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9356 + 9566. Solve 220*t = q*t - 50 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4315.1373 seconds to days.\nAnswer: 0.04994371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68298*h**3*t**2 + 439*h**3*t + 8*h**3 - 11*h**2 - 256*t**3 + 68*t wrt t.\nAnswer: -136596*h**3 - 1536*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009807724 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1\/184008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-148 - -124) + (60 - -4)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5 - 1.55. Let g = 0.15 + h. Round g to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 167 = -23*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-27)*j)**43*j**(-27)\/j**(-23) assuming j is positive.\nAnswer: j**(-1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2167 and 1847860.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10 + (-2067)\/(-265).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 2742372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 120*t**2 - 197*t - 5674. Determine n(122).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2, -4\/5, 0.4, -59\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12039735 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5743 - 5738. Let g(x) = -31*x**2 + 5*x - 5. Let u(n) = 32*n**2 - 4*n + 4. What is p*u(d) + 4*g(d)?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(90)\/sqrt(3) + (sqrt(240) + (sqrt(240) - (sqrt(240) + 2*sqrt(240))) + sqrt(240))\/sqrt(8))\/((sqrt(7260)*-1)\/sqrt(6))*4.\nAnswer: -4*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1011000100101001110?\nAnswer: -1011000100101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 355*b**3\/2 + 3084590*b**2 + 26801872175*b\/2 - 377493605 = 0.\nAnswer: -8689, 2\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**2 - 12*j. Let f be w(4). Find the common denominator of 111\/10 and ((-28)\/f)\/7*30.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37550274 and 56.\nAnswer: 1051407672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -4, -54*l + 49*l - t = 29 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 times 12?\nAnswer: -3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o - 53. Let y be (0 + 3)*-1*((-1886)\/69 - -23). Calculate n(y).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 216276256*s**2 + 425402142.\nAnswer: 432552512*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -l. Suppose -4*z + 0 = -l. Calculate the least common multiple of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 1550250?\nAnswer: -1550246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.1065502 rounded to four decimal places?\nAnswer: 0.1066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**2 + 7*r**2 + 2*r**2 + 6*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 + -1 + 15 + -26 - (30 + -6).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**5\/5 + 4*i**4 - 32*i**2 - 64*i - 192\/5 = 0. What is i?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = a - 17, -2*a + 2*t + 5 = -5. What is the remainder when 34 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*c + 3*o + 8, -4*c - 4*o = -64. Suppose -12*v = -c*v - l + 10, -4*l = 8. Let g(q) = 3*q - 3. Let r be g(3). Which is smaller: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -20*v**2 + 3. Let g(t) = -260*t**2 + 40. Give 3*g(p) - 40*m(p).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/30)\/((-34)\/(-17)*2\/168)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 735 and 345?\nAnswer: 16905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**7\/210 - u**6\/120 + u**5\/60 + u**4\/24 - 5*u**2. Factor q(l).\nAnswer: -l*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0*l - 62 - 7*l - 839*l**3 - 2*l + 840*l**3 - 13*l**2. Give r(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -9 + 5 + -6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2373 and 1557140?\nAnswer: 32699940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-354)\/(-1180)*(-155)\/6?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, 1, 1\/4, -0.04, -10.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -238185740*k**2 + 227854808 wrt k?\nAnswer: -476371480*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 186 + -1305\/7. Let d = 14 - 9. Which is the closest to -2? (a) d (b) -1\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 227 - 226.9. Let v = -4.16 + 3.8. Let z = -4.36 - v. Which is the second biggest value? (a) g (b) -10 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 1, g: 1, p: 1, j: 1}. Give prob of sequence jg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2027547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2156 - 1084 - 1072 + 14*z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 1)*(0 + 1 + 1) + 19 - 22 - 42)*(3*g - 5*g - g).\nAnswer: 129*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*p + 2*p. Solve 2*y + 4*h - 5 = p, 0 = -4*y + 2*h + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18270, -18269, -18268, -18267?\n\"Answer: q - 18271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2746626484?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455*g + 227*g - 16128 = 426*g for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 249 + -252. Let k(o) = o + 2. Let i(h) = 2*h + 5. Let y(d) = 6*i(d) - 13*k(d). Calculate y(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(3) + -1 + sqrt(3) + -2).\nAnswer: -12 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1268 divided by -317.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) 3 (c) -0.08 (d) 8\/3 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -12*o**2 + 8376*o - 1444892. Let y(i) = 4*i**2 - 2791*i + 481631. Let x(j) = 5*g(j) + 16*y(j). Solve x(a) = 0.\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577739825.\nAnswer: 5, 13, 1777661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -320 + 34?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -7012.\nAnswer: 56096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 3}. Give prob of sequence kk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 - (8\/(8\/9) - 5). Suppose -4 = v, u*a + v + 76 - 248 = 0. Calculate the remainder when a is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1790 is divided by 128?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.99 + -3. Let f = r + 0.07. Let g = -0.005 - f. What is g rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23999*p**4 - 53 + 52 + 6*p**3 - p - 23992*p**4 + 27*p**2 in the form d + x*p**4 + f*p + g*p**3 + a*p**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 119*h**2 + 108*h**2 - 18*h**3 - 227*h**2.\nAnswer: -17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133 - -133.4. Let t be 1\/(0 + (-1)\/16). Let r = t + 31\/2. Which is the closest to r? (a) 5 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 224 + -160. Suppose -3*z = 14*s - 9*s - 117, 5*z - 214 = -2*s. Suppose -2*m = 2*m - z. What is the remainder when x is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -637 + 3470. What are the prime factors of a?\nAnswer: 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -273a3 (base 11) to base 5\nAnswer: -2222300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/10)*w**(-1\/14)*(w\/(w**(2\/27)\/w*w))\/w**(1\/2) assuming w is positive.\nAnswer: w**(481\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -85*y + 94*y + 54 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 145 - 141. Suppose p*f - 126 = 2*o, 6*o = 2*f + o - 59. Let z = 53 - f. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(7) - (2 + sqrt(7))))**2 - (sqrt(7) - sqrt(7)*-3*-2)) + sqrt(315)\/sqrt(5) + -5.\nAnswer: 8*sqrt(7) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 114*a**3 - 2*a**2 + 2*a + 2. Let y(p) = -229*p**3 + 5*p**2 - 5*p - 5. Determine -5*o(h) - 2*y(h).\nAnswer: -112*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 8*u - 1. Let k be y(-9). Let l = 12 - k. Suppose -4*h = -l*z - 8, 3*h - 8 + 42 = -5*z. Sort h, -0.5, 0.5 in ascending order.\nAnswer: h, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, 42, 27, -6, -63, -150, -273?\n\"Answer: -v**3 + 4*v + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 15*q**2 + 10*q - 93. Let o be t(-13). Let m = o + -109. Calculate the highest common divisor of m and 366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 2*l**2 - l + 1. Let d be w(0). What is the least common multiple of (-22)\/(-6) + 3\/9 and (-1 + 3)\/d + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*b**5 - 65*b**2 - 2*b wrt b.\nAnswer: -2880*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 3*w**2 + 3*w. Let i be b(-4). Let t(a) = a - i*a - 5*a. Let d(h) = -50*h + 137*h - 45*h - 42*h - h**2. Calculate d(t(p)).\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 41*j - 284. Let z be o(32). What is y in 0 + 4\/3*y**3 - 4\/3*y + 2*y**z - 2*y**2 = 0?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 316910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 10:49 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(3\/(-24)*-16).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.19 + 0.01. Let f = -0.7 + j. Which is the closest to 3? (a) 4 (b) f (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2729 - -2739. What is the closest to 1 in j, 1, 0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/1 - (-539960)\/20. What is u rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 y when three letters picked without replacement from {s: 2, y: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 15 + -13 + 26 + -16.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5440000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5377\/5 - -1063. Let v = s - -398\/45. Calculate the common denominator of v and (16\/6)\/((-10)\/(-27)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 6. Let i = -1 + 0.9. Let p = i + 0. Put -2, p, a in descending order.\nAnswer: a, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 9*r**2 - 2*r + 4. Calculate s(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - y. Suppose 4 = -y*g + 2*g + 5*r, -2*r = -g + 11. Suppose 3*n - 20 = 2*x, 2*n = -3*x - 3 - 1. Solve j = -3*c - g, -4*j + n*c + 20 = -16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3630892.343 + 6822.343. Let l = o - -3624067.9999864. Let c = l + 2. Round c to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*p**2*s**3 + 85998*p**2 - p*s**3 + 365*p*s + 189451*s**3 wrt s?\nAnswer: 180*p**2*s - 6*p*s + 1136706*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 8 = -7, 4*z - 4*q - 40 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/4)\/r**(-1\/5)*r**(-2\/3)\/r**(-2\/15)*((r\/(r\/r**(-2\/13)*r))\/r*r**(2\/27)\/r)**(1\/53) assuming r is positive.\nAnswer: r**(-84937\/74412)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/12 + 14 + -1)\/(6*14\/(-672))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7 = -5. Suppose -3*r = 3*u - u - 15, 5*r - 25 = 3*u. Suppose -3*a + u*a = 4*l - 16, 0 = z*l - 12. Solve 8 = -a*w + 2*w - m, 2 = -m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, 29, 42, 55, 68?\n\"Answer: 13*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-70)*5)\/((-1)\/(-2))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.103 - -0.173. Is -81 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 248*h. Let d(z) = -148179*z. Calculate d(m(i)).\nAnswer: -36748392*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.508184mg to micrograms.\nAnswer: 1508.184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3076\/5 + 915. Let p = 301 - f. Factor 2\/5*z**2 - p*z + 4\/5.\nAnswer: 2*(z - 2)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 6:51 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 12:41 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 387999 and 387999?\nAnswer: 387999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, e: 2, i: 7}. Give prob of sequence aee.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 384 + -370. What is the smallest common multiple of j and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -5*x**2\/2 + 24*x + 1. Let f be s(-10). Calculate the greatest common divisor of f and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 3*r + 108. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3\/5, 1.34, -0.5, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-9684572.\nAnswer: -38738288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1289, 5124, 11517, 20468, 31977?\n\"Answer: 1279*h**2 - 2*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/4 - 56\/(-480)*-15. Let w(b) = 3*b - 5. Let g be w(6). Sort g, t, 1\/5.\nAnswer: t, 1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2)\/((-11)\/(-319)). Let i = r + -26. Let m be ((-10)\/i)\/(2\/(-3)). Solve -m*t - 2 = 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 25 - 184. Let f(a) = -a**2 + 4*a + 49. Let r be f(9). What is the third derivative of -d*x + 53*x + r*x**4 + 11*x**2 wrt x?\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565501820?\nAnswer: 2, 5, 13, 2175007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1317313 * 1.8.\nAnswer: 2371163.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16988.532 months in years?\nAnswer: 1415.711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t - 3. Let r(p) = 11*p - 5. Give 7*q(m) - 4*r(m).\nAnswer: -9*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 52 + 297 + -305?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1487.4 - 1487.3952035. Round t to 4 decimal places.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n**2 + 3*n + 5. Let a(z) = 8*z**2 - 4*z - 6. Calculate 5*a(k) + 6*r(k).\nAnswer: -2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 663 and 5015?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 9. Suppose 0 = h*l - 4, 5 = -z + l + 2. Let t be (-4 + 2 - -7) + z. Solve -t*m = -3*y - 3*m - 11, -15 = -3*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 23. Determine u(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 1\/30*a**5 - 12*a + 7\/3*a**2 - 13\/9*a**3 + 5\/18*a**4 - 25. Let r(w) be the first derivative of b(w). Factor r(y).\nAnswer: 2*(y - 1)**2*(y + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**5\/120 + 9*g**4\/16 - 29*g**3\/6 + g**2 - 762*g. Factor m(s).\nAnswer: (s - 2)*(s + 29)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t - t - 108. Let p be (-3)\/6 - (-306)\/t. What is the first derivative of 11*m - 40 - p + 49 wrt m?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*i - 654*i + 85643164 = -11283427. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 d when three letters picked without replacement from ssssysydsssssdysysds?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-three quarters of a hour?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 + 0)*(1 + 0 + 1) - 1 + 3 + 0)*(-9*t**2 + 6*t**2 + 7*t**2).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12939 > 12939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*i - 8 = 201*i - 2. Put 1, i, 4, -13 in ascending order.\nAnswer: -13, 1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 5 + (2 - (-2 - 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 0*i**4 + 0 + 0*i + 0*i**3 - 5\/168*i**8 - 23\/60*i**5 + 0*i**6 + 19*i**2 + 0*i**7. What is the third derivative of d(u) wrt u?\nAnswer: -600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -476 - -486. Suppose -13*b - 25*b = -q*b. Sort -2, b, -12, -5 in increasing order.\nAnswer: -12, -5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-18) - 2730\/351) + (-1364)\/(-165).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b\/(b*(b\/(b\/(b*b**(-3)))*b)\/b*b))))\/b**3)\/(b**0\/b)**(-42))\/(b**8\/b*b*b*b**(4\/9))**(-8\/11) assuming b is positive.\nAnswer: b**(-3676\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100 + -97. Let y be (-2)\/(-6)*3*-4. Let o be (-1 - 1) + y\/(-1). Solve 0 = v*i - 4*p + o, -5*p = -4*i - i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16160 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 256.5239 minus 1?\nAnswer: 255.5239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 i when three letters picked without replacement from ccibccbcccicccbcc.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52 - 71) + 14 - (1 - 21)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 569, 1104, 1613, 2102, 2577?\nAnswer: 3044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6043857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 16?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**4\/3 - 32*j**3\/3 - 32*j**2\/3 + 128*j + 192 = 0. Calculate j.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37.673 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4987*q**3 + 13*q**2 + 3*q - 32. Let y be n(-16). What is y rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 128331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csvwmvmk. What is prob of sequence vm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w**2 + 20*w**2 - 28 + 4 - 14*w - 12*w**2. Let f be r(-2). Solve z + 2*b - 2 = f, -3 = -5*z + 4*b - 7 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 13*u - 30. Solve -g - u*g + 4*f - 6 = 0, 4*g - 5*f + 7 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/36)\/((-3)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042895213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12321, -24657, -36993, -49329?\n\"Answer: -12336*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5846 + -5701. Solve 0 = 36*q - 7*q + z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 5*d + 12. Let q be a(-8). What is the highest common divisor of 25 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2. Let p(x) = -x**2 + 14*x - 2. Let l(s) = s**2 + s + 1. Let r(g) = -3*l(g) + p(g). Let z(o) = -r(o) + 3*t(o). What is z(7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2117719*i + 2117457*i + 12052 = 0 for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9255, 37007, 83245, 147963, 231155?\n\"Answer: -l**3 + 9249*l**2 + 12*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-13)\/780)\/((-1)\/(-9))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3.1061 - 96\nAnswer: -99.1061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -34. Suppose -b*a = 2*c + 8, -15 = -a + 6*a. Sort 3, 0.1, c in ascending order.\nAnswer: 0.1, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 12:18 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 4*s + 1. Suppose -13 = -2*o - 1. Suppose 0*t - 3*t - o = 0. Let n(y) = -2*y. Let i be n(t). What is b(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -139 (c) -5 (d) 3 (e) -96\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 118\/6 + 4\/6 - (-40)\/(-90 + -30)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 16)*((-2*h + 5 - 5)*(-2*h**4 + 2*h**4 + 2*h**4) + 0*h**5 - 2*h**5 + 0*h**5).\nAnswer: -84*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 451686041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106 + 98 - 202 + 3*a**2 + 6*a**4 + 2*a**3 to m + i*a**3 + x*a**2 + f*a + t*a**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -2.007\nAnswer: -8.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3*(-6)\/2. Suppose 3 = v - w. Suppose -4*f - 95 = -v*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*g + 2*g + 3*g + (-2*g - 2*g + 3*g)*(5 - 1 + 0))*(g + 2*g - 4*g) as t*g + o*g**2 + k and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21839 rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -87*x**3 + x**2 + 2*x + 1. Let u(f) = f + 2. Let s be u(-3). Is a(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a - -3?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167028 is divided by 16687?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -444.01 + 0.2.\nAnswer: -443.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*d*s**3 - 249*d*s**2 + 79*d + s**3 - 2*s**2 + 139300 wrt d.\nAnswer: 4*s**3 - 249*s**2 + 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 4 - (7 + -13). Suppose -4*i = -3*q - 2, -t*q + i - 1 + 5 = 0. Factor -c**4 + 4*c**4 - 7*c**4 - 3*c - q*c**4 + 3*c**5 + 6*c**2.\nAnswer: 3*c*(c - 1)**3*(c + 1)","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 zkekezkkp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1130*s + 4592. Let n be g(4). Calculate the greatest common divisor of 18072 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18759 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -26. Suppose -n = -4*f + m, -25 = -6*n + n. Let u = -251\/4 - -63. Which is the nearest to 0.1? (a) f (b) -2\/15 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5218*o - 5220*o - 30 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23b (base 12) to base 7.\nAnswer: -656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6348174 grams to micrograms.\nAnswer: 634817.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220000 - 1?\nAnswer: 1212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27593557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161 - -542. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a - 8. Let m(q) = -q - 1. Let n(s) = -4*m(s) + x(s). Let k be (-2)\/(-4) + 42\/(-4). List the prime factors of n(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -3)\/(2354\/(-11 + 22))\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 - 65. Find the first derivative of 18*m - 12*m**4 - 6 - w*m**4 - 18*m wrt m.\nAnswer: -64*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 6)*(-2)\/4. Let s(z) = -2*z**2 - 2*z. Determine s(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, k: 3, w: 3, m: 5, j: 2}. What is prob of sequence jk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9517\/11792 + -4\/737. What is the common denominator of -121\/18 and x?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8520 + -6744. Is t a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83 (base 11) to base 14.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 989914.9l?\nAnswer: 989914900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -9 (c) -5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1582 + 167*b**2 - 109*b**2 + 137*b**2 + 1580 to x + h*b**2 + m*b and give h.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 697 and 159815.\nAnswer: 111391055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 3150*z**2 - 966329*z - 3915780.\nAnswer: -(z - 2805)*(z - 349)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/28885 and -63\/115540?\nAnswer: 115540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 3, 1, 8, -3 in increasing order.\nAnswer: -3, 1, 3, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1299 + 1299.779. Let i = -0.849 + t. Which is the nearest to -2\/9? (a) 0.3 (b) i (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*2\/6)\/(2\/3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2471721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253.5002nm to millimeters.\nAnswer: 0.0002535002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.13954*-0.3\nAnswer: 0.041862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - l + (-23 + 376 + 78)*(13*l + 9*l + 11*l).\nAnswer: 14222*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -55*q**3 - 47205*q**2 + 1101595*q + 303945 = 0. What is q?\nAnswer: -881, -3\/11, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 218894279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003831 rounded to 4 dps?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 87*r**2 + 3*r - 5. Is p(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -33\/986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2703, 5382, 8067, 10764, 13479?\n\"Answer: l**3 - 3*l**2 + 2681*l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 37961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 206595 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3073338?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5 + 20*t**4 + 1942*t**3 + 14016*t**2 - 59904*t = 0. Calculate t.\nAnswer: -16, 0, 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (21\/(-28))\/(1\/(-4)). Suppose 5*m = -n + 14, -2*m = 3*n - 4*n. Suppose 2*f = 2*x - 2, n*x - 7 = k*f + 1. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - 14*a**3 + 5 - 13*a**3 - 2*a**2 + 34*a**3 as j + v*a**3 + x*a + f*a**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 7*n + x - 7299995, -4*n + 5839990 = 2*x. Round n to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-6)\/(-4)*(-2252)\/(-5067)*1\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/121 + -127\/363. Put 4, z, -2\/7 in increasing order.\nAnswer: z, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335141330 plus 289313?\nAnswer: -334852017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69 - -0.0345952.\nAnswer: 69.0345952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3185 * 0.060649.\nAnswer: 193.167065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*m = 11, 0 = -a - 3*a + 3*m + 23. Suppose 0 = -5*f - 15, 3*f - 30999985 = -a*w - 2*f. Round w to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 12*s**2 - 11*s + 5. Let z be m(-11). What is the first derivative of -1 + n**2 + 3 - 3*n**2 - z wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.87 - -0.13. Let y = g - 13. What is the nearest to y in -5, -0.4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 522968 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**5\/15 + y**4\/24 - 6*y**2. Suppose -2*i = c - 1, 4*i + 0*c + 1 = -c. What are the prime factors of d(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98\/33 + -2203\/264. Find the common denominator of y and (8\/48)\/((6\/837)\/(6\/153)).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 21*l + 8*l**2 + 12 - 3*l**2 + 8*l**2 - 4*l**2 = 0?\nAnswer: -4\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3668 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lglolxx. Give prob of sequence glo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.860751 centuries in millennia?\nAnswer: 0.0860751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-12 - (5 + -12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34, 65, 96, 127, 158?\n\"Answer: 31*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*t - 110. Suppose 0 = 5*q - 3*a + t, 37 - 102 = 2*q + 3*a. Let c be (-2)\/(-9) - q\/9. Solve -c*o = -6*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 2*i - 12, j + 22685*i - 22690*i + 6 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*c - 5*l, -22*c + 27*c + 7 = 2*l + 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3864 divided by 4\nAnswer: -966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/63960 and -94\/16185?\nAnswer: 5308680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 417644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/72*(-492)\/41.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (3 - 0) - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 157974.5561811 - 5?\nAnswer: 157969.5561811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 4*f + 59 - 81, 4*j = 2*f + 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-115)\/(-10))\/((-1)\/(-12)). What is the third derivative of 4*a**2 + 2*a**2 + a**2 - 133*a**4 - 5*a**2 - k wrt a?\nAnswer: -3192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.0963l to millilitres.\nAnswer: 64096.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Let t = -5.92 - -6. Let p = 2.92 + t. Put k, 2\/7, p in decreasing order.\nAnswer: p, 2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -11)\/4 - 3*1. Suppose -5*k + l + 57 = d, 2*k + l + 4*l = 12. Calculate the least common multiple of k and 2\/(-3) + (-153)\/(-27).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 315234 divided by 105078\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28.42 + 2373.58. Sort 0.1, n, -3 in decreasing order.\nAnswer: n, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**3\/3 - 2*m**2 + 10*m - 11. Let g be x(5). Let c be (-3)\/5 - 1701\/g. Calculate the greatest common factor of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -975806?\nAnswer: 975805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/34400 and 61\/16.\nAnswer: 34400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*p - 108*p - 38808 = -277*p. What is the greatest common divisor of 4466 and p?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.2 - -15.7. Suppose -4*n - n + 10 = 0. Let o be n - 4\/(5 - 3). Put -2\/19, -2\/7, o, l in ascending order.\nAnswer: -2\/7, -2\/19, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50453 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -125 + 125 - (-2 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70434.\nAnswer: 2, 3, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.04 and -0.239223?\nAnswer: -2.40179892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2099 = q + 3*k + 2135, -4*q + 14*k = -168 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 - -4*34\/20 and 55\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 15 = 3*h, -l + 0*l - 4 = -h. Solve -5*f - 9 = h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 10:01 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 346 - 3?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**4\/12 + h**3\/8 - h**2\/8 - 6*h + 1. Let r(m) be the first derivative of p(m). Factor r(d).\nAnswer: (d + 1)*(4*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -6.4\nAnswer: -0.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 - 80*z**3 + 192*z**2 + 2304*z.\nAnswer: 4*z*(z - 12)**2*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.6 (b) -5 (c) 1\/25 (d) 72068\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 14497.\nAnswer: 1\/14497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-336)\/(-15) - 4\/10. Let z = a + -43. What is the units digit of z*((-4)\/12 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4376*h**2 - 36*h + 29*h**3 - 4370*h**2 + 12*h - 1 wrt h.\nAnswer: 174*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-2 - (4 + -8)). Suppose 0 = w*g - 15 + 7. Differentiate -g*x**4 - 7 - 3*x**4 + 0 with respect to x.\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -520769.\nAnswer: -520764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 296620 or 296586?\nAnswer: 296586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 626802979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 - 0. Let y = -72.05 - -72.25. Put r, y, -2\/15 in decreasing order.\nAnswer: y, r, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s - 4*s + 4 - s**2 - 5*s. Let q(r) be the third derivative of r**4\/24 - r**3\/3 - 2*r**2. Determine 5*q(x) + 2*t(x).\nAnswer: -2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) 2.8 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*y - 3*a, 3*y + 13 + 8 = 3*a. Let o(s) = -239*s**3 - 6*s**2 + 6*s + 4. Is o(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h - 13. Calculate j(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25165799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 228983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-2 - 4) - (-21)\/(-9). Let v(x) = 2*x**2 + 4*x - 5. Let t(r) = -2*r**2 - 3*r + 4. Give a*v(s) - 3*t(s).\nAnswer: 2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*g = 384*g + 864 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*g - 5*g, 3*i - 393 = -3*g. What are the prime factors of i?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 11*k**2 + 4*k + 7. Let o be v(-11). Let f = 38 + o. Let u(h) = -7*h + f + 5*h + 1 + 8*h. Calculate u(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -11. Let w = l + -7. Suppose 4554747 = 5*g - 2*f - 19445245, -19200012 = -w*g - 3*f. Round g to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1501035.\nAnswer: 3, 5, 100069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*z**2 - 6*z - 3*z**2 - 5*z**2 + 27*z - 6*z**2 to o + j*z + k*z**2 and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 + 186*i**2 - 190*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92 - -284. Suppose 12*x - m - 240 = 0. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 8:21 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16717 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 579122289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(-21) - (-1)\/(-3). Let o(g) = -g - 7. Let w be o(-9). Suppose w*c - 6 = 0, 4*d + 2*c + 2 - 8 = 0. Is z at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 14976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15282*d**2 + 33708*d**2 - 18353*d**2.\nAnswer: 73*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1287*n = -990*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b. Let j(p) = p. Suppose -4*g + 3*a + 12 = -7*g, 3*g + 16 = -5*a. Give g*f(i) - 6*j(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - 10 - 3*c**2 + 12 with respect to c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8.207 or 3\/8?\nAnswer: 8.207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -11 + 89 + 3 + (40 - (60 - 19))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160 - 17544*y**2 + 2 + 17540*y**2.\nAnswer: -4*y**2 - 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkxr when four letters picked without replacement from xrxrjkkrxrj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 258.3397 + -360280.\nAnswer: -360021.6603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (5 - 1) + (-17 - -15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65 and 30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (166\/(-83)*9)\/(4\/2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25, -37, -49, -61, -73, -85?\n\"Answer: -12*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -7.6, -4\/23, -5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 40962\nAnswer: -1\/20481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*-2*sqrt(20)*3)\/(sqrt(160)*-4 - (sqrt(10) - (-3*sqrt(360) - sqrt(360)))).\nAnswer: -60*sqrt(2)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**3\/3 - 26965*i**2\/3 = 0 for i.\nAnswer: -5393, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 7 - -6 - 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, 3.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -42, -16, 22, 66, 110, 148, 174?\n\"Answer: -x**3 + 12*x**2 - 3*x - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 1. Let u be o(-5). Let x(v) = 3*v + 3. Let y be x(-3). Is (4\/y)\/(u\/(-294)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2. Let o = 0 - l. Let b = 1.9877 + 0.0123. What is the biggest value in -0.5, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 33129?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.7 - -24.7. Let x be (2\/32)\/((-2)\/(-4)). What is the nearest to u in -4, x, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102 - 67. Let k = m - 7. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3))\/((-50)\/(-1800)). Suppose -i = -4*m - 4*t, 2*t = -4*m + t + 12. Solve -m*w + 18 = 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1834 - 1524. What is the remainder when 913 is divided by a?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -12236109\nAnswer: -48944436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-2)\/12 - 221\/1326)*14\/84?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3275.01286 to the nearest ten.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 124363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1282 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -32b3 (base 12) in base 8?\nAnswer: -12747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -4. Suppose 3*r - v*p = 82, p - 17 = -r + 13. Suppose 3*i = q - 122, -11*i + 6*i + 1341 = 12*q. Calculate the remainder when q is divided by r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 18. Let p = 1 + a. Let g(j) = j**2 - 2*j + 8. Is 32 a factor of g(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 20 = 0, 5604*m + 4*x - 4 = 5601*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -579, -5 in increasing order.\nAnswer: -579, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + p**2 - 4*p**2 + (-325*p + 325*p - 40*p**2)*(22 + 19 + 3 + (2 + 0 - 3)*(0 + 1 + 0))*(-3 + 0 + 1) in the form m*p + i + d*p**2 and give d.\nAnswer: 3439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 668575432 to the power of 1\/2, to the nearest integer?\nAnswer: 25857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -t - 0. Let r be 8\/t*(2 - 11). Solve s = -3*s + 4*c - r, 15 = 3*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 18 = -3*w, 7826*s - 7830*s = -4*w + 16 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b2c - -1?\nAnswer: -b2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d - 18*d + 5*d - 5 + d**2. What is m(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1504 by -249.\nAnswer: -1504\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -a - 44 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 + 96*n**3 - 459*n**2 + 364*n.\nAnswer: -n*(n - 91)*(n - 4)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4.21 (b) -3 (c) 4 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m**5\/5 + 1002*m**4\/5 - 4872*m**3\/5 + 1824*m**2\/5 + 19584*m\/5 - 23328\/5 = 0 for m.\nAnswer: -2, 2, 3, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/2 (b) -1\/3 (c) -2 (d) -725.92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 238889?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*j - 118 = 0, 3*k + 0*k = -3*j + 87. Let b = -311 - -313. Solve r = -i + 4 - b, 2*r - 5*i = -k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8372)\/4140 - (-18)\/10\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/20 + 2\/(-4). Put -5, 0.5, t in descending order.\nAnswer: 0.5, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*x + 18, -5 + 3 = -3*x + 2*s. Let a be -30*x\/(6\/(-9)). Let n = 135 + a. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + 8*x**2 + 10. Let p be c(-6). Let n = 241 + p. Suppose -4*r - n = -o, 0 = 5*o - r - 3*r - 471. List the prime factors of o.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/84577635 and -32\/84577635.\nAnswer: 84577635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 62 - 1747*u + 41 + 1747*u in the form v*u + c*u**2 + m and give m.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*f + 120 = 60*f. Solve l - 10 = w, 0*w + f = -2*w + l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/8)\/l*l)\/(l**(-2\/9)*l))\/(l**(-2\/3))**(-43)*((l**0)**(-4\/15))**(3\/31) assuming l is positive.\nAnswer: l**(-2129\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 15 = 3*y, 16 = -t - 6*y + 7. Let o(j) = j**2 + j - 1. Let x be o(-3). Suppose -x*v - 4 + 24 = 0. Solve -15 = c + t*d, 0*d + v = -d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 23 = -112*p + 111*p, -7 = 2*j + 3*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgwf when four letters picked without replacement from wgfgjfggfwfggg.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12344137 to the nearest integer?\nAnswer: 3513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w + 169 - 127 = 0. What is the third smallest value in 0.5, w, 24, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (9 - (3 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2278, 2282, 2288, 2296, 2306, 2318?\nAnswer: 2332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*x + 2*a, 0*a = 2*x - 5*a - 8. Suppose -144 = 29*o - 23*o. Calculate the common denominator of -53\/7 and o\/x*15\/(-22).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**3 + 212*z**2 + 55*z + 89. Is g(-65) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.068 + 65.932. Let u = z + -65.9999965. What is u rounded to seven dps?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0106960977 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 4*d**2 + 28*d - 9. Let r be l(-4). Suppose -3*p = -2*k - 4, p + 13 - 3 = -5*k. Solve p = 3*b - r*b + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 951 = 12*p + 231. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*i, -3*h + 30 = 3*i + 24. Which is the biggest value? (a) 0.14 (b) h (c) -80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*m + 66, m + 3*w - 4 = 4. Let b = 344 - 341. Suppose -x + 413 = 4*x - 2*y, -b*x - 5*y = -254. What is the remainder when x is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 14, -25, 0 in descending order.\nAnswer: 14, 5, 3, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + 5. Suppose -6*s - i + 54 = 0. Let c be (2478\/(-495) - -5)*3\/s. Is c >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/y**(-2\/3)*y)\/y))**(-28)*(y*y*y**7)\/y*y**(-18))**1 assuming y is positive.\nAnswer: y**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**4\/24 - 2*o**2. Let m be d(1). Let r(n) = 0 + m + 2*n**2 - 3 - n**3 + n**2 - 2*n. Determine r(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppmmppppqmpp. What is prob of picking 3 m and 1 q?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 0.484.\nAnswer: -2.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -4*t - 7, -5*t + 1315*q - 1314*q + 5 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -146\/919 - 1946966\/8271. Do -237 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841703010 a multiple of 1530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*g + 9. Let b be (15\/g)\/((-1)\/2*2). Suppose -o = 2*d - b, -o - 7*d + 5 = -2*d. Solve 5 + 10 = o*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -12.894.\nAnswer: -128.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/(-4)*-3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/2, -7, 2\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/11))**(-46) assuming y is positive.\nAnswer: y**(184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7807200971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -325, -365?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:40 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 630*h. Let i(l) = -l**2 - 6*l + 4. Let j(u) = -4*u**2 - 27*u + 18. Let b(f) = -18*i(f) + 4*j(f). Calculate b(y(g)).\nAnswer: 793800*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(26)*1)\/sqrt(2) - (sqrt(91)\/(sqrt(42)\/sqrt(6) + sqrt(7)) + sqrt(13))) + 1)**2*-5 + -3.\nAnswer: -97\/4 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 538823865 and 12?\nAnswer: 538823853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*m**3*s**3 + 215066*m**2*s**3 + m*s**3 - 2*m*s**2 + 2*m*s + 2873*m + 1 wrt m.\nAnswer: -162*m*s**3 + 430132*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(2\/5)\/h))**(-5) assuming h is positive.\nAnswer: h**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1050050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13, 1360, 3625, 6782, 10831, 15772, 21605?\n\"Answer: 446*t**2 + 35*t - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**8\/560 + 9*x**7\/280 + x**6\/8 - 5*x**5\/8 - 37*x**3\/3 - 201. Let a(w) be the third derivative of o(w). Factor a(t).\nAnswer: 3*t*(t - 1)*(t + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 7, -9\/10, -0.4, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 11*o - 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 32*u**3 + u**2 - 1. Let k be o(-1). Let m = -66 - k. Let x = -22 - m. What is the least common multiple of x and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -223\/5. Let f = -58 + 294\/5. Let 2\/5*h - 2\/5 + 2\/5*h**5 + 4\/5*h**2 - f*h**3 - s*h**4 = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*q - 54, -5*b + 11 = -2*q - 79. Solve -42 = -b*c + 32*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4, -v - 3*v - 14 = -5*s. Let w = 0.3 - -0.2. Let u = -2 + 5. What is the closest to 0.1 in v, w, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37.3 + -43. Let a = -0.2259 - 5.7741. Let m = r - a. Sort 0.2, m, -6 in ascending order.\nAnswer: -6, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 4*q. Let b be a(3). Let c be (5 - 1) + b\/(3\/(-4)). Sort -1, c, 0.\nAnswer: -1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1979)\/4)\/(6 + -7). Let x = 496 - v. Solve -x*j**5 + 2*j**4 - 3*j + 0 - 5*j**2 + 29\/4*j**3 = 0.\nAnswer: -2, -2\/5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*d = 155, -4*d + 10 = -10. What is the common denominator of (1\/4)\/((-7)\/226) and q\/(-98) - (-2577)\/126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*z**3 - 52790*z**2 - 15*z - 1107 wrt z?\nAnswer: 24*z - 105580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*s**2 - 16 + 16)*((6 - 3 - 2)*(-89 + 89 + 31*s + (1 + 3 - 2)*(-1 - 2*s + 1)) + 4*s + s - 6*s) in the form t*s**2 + i*s + n*s**3 + j and give n.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -280 - 1113. Find the common denominator of -17\/10 and 8 - (f\/(-910) + 7).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*w - 2)*(50 - 216 + 108) to the form b*w + p and give b.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17007 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66\/5 - -188\/15. Let b = -4.551 - -4.6. Let l = 0.249 - b. What is the biggest value in r, l, 1\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 80.4 and -3.\nAnswer: 77.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 10*d**2 + d - 9. Suppose 8*g = 4*g - 36. What is the remainder when s(g) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m**3 - 3*m**2 + 4*m - 8. Let u(h) = -3*h - 4*h**3 - 3*h**2 - h**3 + 6*h**2 + 7. Let n(b) = 6*l(b) + 7*u(b). Determine p, given that n(p) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -4 (b) 544 (c) 1 (d) 3\/89 (e) 25 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521 (base 10) to base 14.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 204569.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmm when three letters picked without replacement from {m: 2, j: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5617*l**3 + 2584*l**2 - 5*l?\nAnswer: -33702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*((-5*1*sqrt(110) - sqrt(110) - sqrt(110)) + sqrt(110) + sqrt(110)))\/((sqrt(70)*1*-3)\/(sqrt(7) - sqrt(28)\/sqrt(4)*-5)).\nAnswer: 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2107, 2192, 2293, 2410, 2543, 2692, 2857?\nAnswer: 3038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**4 + 344*t**3 - 7820*t**2 + 19192*t + 27360 = 0 for t.\nAnswer: -1, 4, 38, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/3)\/(8\/(-10 + 34)). Solve -5*m + y = -3*j, 3*m + m + j + 7 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.067892, -3\/2, -2\/27, 5, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-177*g**2 + 177*g**2 + 83*g**3)*(-2 + 1 + 2) + (-2*g - g**2 + 2*g)*(-3 + g + 3) in the form w*g**2 + m*g**3 + x*g + j and give m.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from svvttvsstztvtth.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-160)\/(-88))\/20)\/(((-36)\/110)\/(-3)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*g - 9*g + 18*g + 373 - 1701 = 0 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 5*l + 34 = -12*k, -220*l = 2200 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/9)*z)\/z)**(-2\/9)*z**1\/(z**(4\/5)*z*z) assuming z is positive.\nAnswer: z**(-749\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1. Let b(y) = y**3 + y**2 - 1. Let v(l) = 3*a(l) + b(l). Is v(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 7*f - 6. Let k be c(-9). What is the highest common factor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(140\/(-16))*24\/(-32)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x = -15. Let h be 2 + -3*(-20)\/(-15). Let v(y) = y - 2. Let s(b) = -b**2 + 3*b - 4. What is h*s(q) + x*v(q)?\nAnswer: 2*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7105 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w - 3*l - 87 = 0, -7*w - 6*w + 129 = 32*w + 11*w - l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 364. Let z(h) = 604*h. Calculate z(f(c)).\nAnswer: 1208*c - 219856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -5. Suppose 0 = -u*j + 243 + 7. Let b = j - -297. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j - 14*j + 334 = -50 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12222 - 11?\nAnswer: 12211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**3\/3 + u**2 + 55*u + 4. List the prime factors of a(0).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-10)\/15)*(-4)\/3. List the prime factors of (-1)\/((-1)\/(-24)*o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -7 + 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 92551+-126963.3\nAnswer: -34412.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-1.17.\nAnswer: 0.0468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16\/11 - 59\/33. What is the nearest to g in 1\/2, -3\/7, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 46147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 - 7 + 7*r - 4*r**3 - r**3 + 4*r**3. Let b be h(5). Solve b*f = -i - 7, -3*i + 11 = -0*i + f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 4*o - 1. Let n be w(3). Let t(m) = -m. Let u be t(6). Let h = u - n. What is the highest common factor of 80 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -364 by -2.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 16. Let j = 0.16 + -30.16. Let l = 29 + j. Which is the nearest to l? (a) v (b) 0.1 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/8 + 399*a**3\/8 + 11715*a**2\/4 + 123541*a\/2 + 443223.\nAnswer: (a + 22)**3*(a + 333)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.85 + 40.55. Let z = y - 0.2. Let l = -45 + z. Which is the third biggest value? (a) l (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10687330 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 247272*m - 2092. Let j be w(11). What is j rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1133038722 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 8)*(16 + 16 - 21)*(h - 3*h + 0*h).\nAnswer: -88*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2877882 or 0?\nAnswer: -1\/2877882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 4. Let x = 3 + p. What is the units digit of (x - 1) + (5 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 4*h + 1. Let v(i) = -i - 1. Suppose -4*u = -4*z + 6 + 10, 4*z = 5*u + 17. Calculate u*y(f) + 3*v(f).\nAnswer: f**2 + f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4 (b) 0.471 (c) 4 (d) 1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1377942, 2755882, 4133818, 5511750, 6889678, 8267602, 9645522?\n\"Answer: -2*h**2 + 1377946*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -696 - -402. Let o(m) = -90*m + 13. Let q be o(-6). Let r = q + a. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z + z - 2472. Suppose 57 - z = -2*s. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 430 = 4*z. Let w(q) = 3*q - 101. Let k be w(4). Let v = z - k. Solve -v*n - 2*n = -25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59.49613 - 59.5. What is x rounded to four decimal places?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3413.4 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**3 - b**2 - 6*b - 11. Suppose 7*k + 25 = -38. Is p(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23\/7 - 3 - (-13 + 167295\/105). Which is smaller: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 12*x**2 - x + 14. Let t be z(12). Let q be 10\/240 - t\/16. Let c = -3\/4 - q. Is c bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1459 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1475 or 1473?\nAnswer: 1475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 95806 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55179734 and 865?\nAnswer: 275898670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6442 + 52447. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*-7*10\/(-42)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 22*z + 3. Let j be (-2 + 46)*2\/(-4). Let a be r(j). Solve -a*g = 4*c - 3, 0 = 2*c - 5*c + 2*g - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x - 7. Let v be r(-7). Suppose c + 2*c = v. Let j(z) = 2*z**2 - 4*z - 10. Is 20 a factor of j(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 8*y - 4. Let k(s) = -s**2 + 7*s - 3. Let i(v) = -4*k(v) + 3*r(v). Find the second derivative of i(q) wrt q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/((s**(-2\/19)\/s*s)\/s))**47 assuming s is positive.\nAnswer: s**(987\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00276 rounded to 4 dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -769*k + 171*k + 2168 - 20706 = 0 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21201121 - 220?\nAnswer: -21202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366604 is divided by 219?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x + 85 = -203 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 334 - 334.2. Let k = 49\/2 - 25. Which is the second smallest value? (a) k (b) -2 (c) -1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0*v**4 - 1\/12*v**5 - 5\/6*v**3 + 0 + 0*v - 6*v**2. Differentiate j(z) wrt z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5039835, 5039833, 5039831, 5039829, 5039827, 5039825?\nAnswer: 5039823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 + 2.98. Which is smaller: k or 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 144 - 148. Let p be (-34)\/(-6) - 6\/9. Is -4*((-70)\/p - j) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*i + 8, -4*z - 12 = -z. Solve i*k = -j - 11, 4 = -2*k - 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*sqrt(272)*-5 + 2 - (5 + 5 + sqrt(272) + -5))**2.\nAnswer: -336*sqrt(17) + 53324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 6*n**2 - 4*n - 7. Let i = 31 + -30. Suppose 0 = -4*m + 11 - 35. Let o be i*(-1 - (-2 - m)). Calculate q(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + -40298.\nAnswer: -40292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/9 + 1\/3. Let p be (-2)\/b*(-33)\/(-2). Let q be (-57)\/(-11) - 10\/55. Solve -2*k + p = x - 2*x, q = 2*k + x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 35. Let a be (53\/g + -2)\/(-3). Which is greater: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/6 of a millennium?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2043\/938, 0.1.\nAnswer: -7, 0.1, 2043\/938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*h - 1254, -9*q + 6*q - 2874 = -7*h. Calculate the lowest common multiple of 80 and h.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 2*t + 6. Let g be k(0). Suppose 15 = 7*s - g. Solve 0 = -4*f + s*f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 56*x + 5465. Give m(-100).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**3\/6 - k**2\/2 - k. Let v be 132\/28 + (-2)\/(-7). Suppose h = v*h + 2*h. Calculate q(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1500434 != -1500440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20225 and -2.5577.\nAnswer: 20222.4423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2483490?\nAnswer: 2, 3, 5, 19, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6*r**0)\/(r*r\/r**1)**(-9\/5) assuming r is positive.\nAnswer: r**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6904 is divided by 266.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1863*n = -1951*n + 5891 + 269 for n.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10897 - 246.\nAnswer: 10651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z - 2 = 40 - 154 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-12)\/(-10))\/(6\/30) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 269 = -64. Let x = z - 23. Solve -w = -3*m - 2*m - 22, 5*w - x = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5 = -d, 3*f = -5*d - 7 - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2*v = -2, 110*z - v + 2 = 112*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 3:33 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1088) + -3 + 1*sqrt(1088) + sqrt(1088))**2 + -5) + -4.\nAnswer: -58780 + 864*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 10*w**2 - 37*w - 23. Let i be f(13). Solve 4*d - 2 = 2*g + 2, -g = i*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 62\/(4\/(0 + 2)). Let n = l - 16. What is the lowest common multiple of 10\/n + 50\/6 and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 3*l**2 - 4*l**3 - 3*l**2 + 16*l**3.\nAnswer: 12*l**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 0*z + 0*z + (-1 + 0 - 2)*(19 - 19 + 17*z) + (2 + 0 - 4)*(0*z - 2*z + 0*z) to j + d*z and give d.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -269\/9 - -113\/3. What is the common denominator of j and (-12)\/10*(-14)\/4?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7973892 divided by -9.\nAnswer: 885988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*r**3 + 3\/4*r**2 + 3 - 1\/4*r**4 + 5*r.\nAnswer: -(r - 2)*(r + 1)**2*(r + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + (1 + (sqrt(3) + -1)**2 - (-2*sqrt(24)\/sqrt(8))**2) + -2 + -1).\nAnswer: -30 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -79*h + 11258 - 11258 + (-3 + 5 - 1)*(0*h - 3*h + 5*h).\nAnswer: -77*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.89, 19, 3\/7, -1.9.\nAnswer: -1.9, 3\/7, 3.89, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142927750 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w - 1. Let t(p) = 4*p - 3. Let z(v) = -7*v + 5. Let s(d) = 10*t(d) + 6*z(d). Give 3*g(q) + 2*s(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.92, 0.3 in decreasing order.\nAnswer: 1, 0.3, -1.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 5. Let w be (-1)\/1 - 28\/(-7). Let d(y) = -y**2 + 1 + 0 + w. Give -5*d(s) + 4*p(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 11*q - 13. Calculate a(9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n**2. Suppose f - 2*f + 6 = 0. Let j(y) = f - 1 - 5 - 2*y. What is z(j(m))?\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 6, 78, 2 in increasing order.\nAnswer: 2, 6, 22, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 20*b - 67. Suppose -345 = 1427*a - 1450*a. What is k(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a factor of 315392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aata when four letters picked without replacement from {a: 7, t: 4}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 6*o**2. Let w(m) = m**2 + m + 1. Let g(q) = u(q) - 2*w(q). Let z be g(2). Sort -3, z, 5 in descending order.\nAnswer: 5, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 + 4*b**2 + 3. Let k be g(-3). Let j be (-162)\/(-10) + 3\/k. Calculate the highest common factor of j and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2799103.3828 rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27700 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2866074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10444 - 1?\nAnswer: -10445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 248 = 4*o, 0 = -q - 0 + 4. Let w be (o\/16 + -3)*4. Suppose 4 + 14 = -w*r. Let g(h) = h**2 + 5*h + 3. Calculate g(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.195056 millimeters?\nAnswer: 1195.056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.2 in -0.1, 0.3, 1, 5\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*i - i - 3*i)*(-4 - 1 - 2)*(1 + 5 + 3)*(-i - 5*i + 2*i) in the form q*i**2 + l + s*i and give q.\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + p**3 + 47*p**2 + 6 - 29*p**2 - 2*p**3 - p**4 - 19*p**2 to y + d*p**3 + n*p + j*p**2 + l*p**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, -5\/2, 0.5 in increasing order.\nAnswer: -12, -5\/2, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 291*r - 48415. Give l(99).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*1\/((-14)\/(-7)))\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g - 658 + 4*g + 680.\nAnswer: -2*g + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4337776, -17351273, -39040436, -69405265, -108445760, -156161921, -212553748?\n\"Answer: -4337833*q**2 + 2*q + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -313 - -1231\/4. Find the common denominator of (-411)\/54 - -5*(6 - (-168)\/(-35)) and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 - 4*f**2 - f - 3. Let p be a(-3). Let h = p + -12. What are the prime factors of (6\/4)\/(h\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 8731349?\nAnswer: -8731349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -133, -188, -367, -730, -1337, -2248?\nAnswer: -3523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20, -57, -94?\n\"Answer: -37*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*b - 2*s, 358*s + 37 = -5*b + 361*s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 1.7113.\nAnswer: 8.5565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + 1)*4\/(-8). Suppose 0 = 5*y + 4*j, t*y - 7*j = -5*j + 22. Are y and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85*101\/((-219776)\/(-2304)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/6 - (-6)\/9. Suppose -c + 60 = k*c. Calculate the least common multiple of c and (56\/(-4))\/7*-1*5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 3 - y**2 - y + y - 8*y. Determine n(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {n: 11, w: 9}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(5)*2 - sqrt(5)) + -4.\nAnswer: -4 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5915410*h**3*o + 1846*h**3 - 5*h*o**2 + 6*h - 534 wrt o.\nAnswer: 5915410*h**3 - 10*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/332748 and -79\/4680.\nAnswer: 3327480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 320636 smaller than 320636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i - 17*i**2 + 6*i**3 + 0*i**3 + 3*i**3 - 12*i**3 + 5*i**3 in the form t + s*i + j*i**2 + x*i**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 121*k - 146*k + 21100. Calculate the remainder when k is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4490 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -97, -305, -711, -1381, -2381, -3777, -5635?\nAnswer: -8021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -508, -1903, -4210, -7429, -11560, -16603, -22558?\n\"Answer: -456*z**2 - 27*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**5\/5 + 1816*y**4\/5 + 204612*y**3\/5 + 199184*y**2\/5 - 405616*y\/5 = 0. Calculate y.\nAnswer: -251, -202, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + 116. Suppose s - 13 = 1. Suppose 2*u = 10 + s. Calculate the greatest common divisor of z and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**3 + 226*j**2 - 2149*j - 2376 = 0.\nAnswer: -1, 11, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/15 (b) -234.5 (c) -2\/13 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -1\/12*q**4 - 163\/30*q**6 + 33\/2*q**2 - 129*q + 0*q**5 + 0 + 0*q**3. What is the third derivative of x(d) wrt d?\nAnswer: -3912*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10315243951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**3 + u**2 - 1. Let p(m) = -15*m**3 + 4*m**2 + 38*m - 15. Give -4*f(t) + p(t).\nAnswer: t**3 + 38*t - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 6*l**2 + 4*l - 13. Let s be j(-8). Suppose a = 0, -2*m + s + 127 = 2*a. What are the prime factors of m?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2343462.67 rounded to the nearest 1000?\nAnswer: 2343000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -500*a - 11712. Let p be b(-24). Solve 302*n = p*n - 28 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161850\/(-1050) + 154 + 190\/7?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5369752 is divided by 124877.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17\/6 + 7\/2. Which is the closest to 0.1? (a) -0.2 (b) -7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z. Let k(n) = 12*n**2 + 18. Let l(y) = y**2 + 1. Let o(d) = -k(d) + 18*l(d). Determine o(j(q)).\nAnswer: 150*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 490*t**3 - 2 + 687*t**3 + 355*t**3 - 327*t**3 + (0*t + 0*t - 2*t)*(-1 + 1 - 4*t**2) in the form i*t + p*t**2 + g*t**3 + f and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 52*f**3 - 1. What is n(1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65948, -131867, -197784, -263699, -329612?\n\"Answer: b**2 - 65922*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -133320 (base 4) to base 7\nAnswer: -5643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + sqrt(12)\/sqrt(4) - (sqrt(972) + 1).\nAnswer: -17*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.14 and 601627504532?\nAnswer: 601627504531.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 18 = 5*c, -2*h = -3*h - 4*c - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27427563*u**2 - 90383049*u?\nAnswer: -54855126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from fmqqzgzg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -6.06. Let v = 5.06 + k. Let p = -4.5 + v. What is the third biggest value in -4, -2\/19, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 31. Let l(u) = -u**3 - u**2 + 3*u - 4. Let y be l(k). Does 18 divide (-9)\/(-2 + y) + 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 73604?\nAnswer: -73612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 5*w**6\/6 - 36*w**5\/5 - w**3\/3 + 31*w**2 - 24*w - 5309. What is the third derivative of c(o) wrt o?\nAnswer: 300*o**2 - 864*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 50. Suppose 0 = -3*v - w + 40. Find the third derivative of j**2 - 6*j**3 - v*j**3 - 10*j**2 + 4*j**3 wrt j.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2353026 - -0.2357. What is f rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -784 + 1280. Suppose -2*n + 2*y + 806 = 0, 2*n = 3*y + v + 313. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.8 - 8.736. Let r = -0.476 - d. Let z = r - -0.5400152. Round z to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r**2. Suppose 4*y = 4*p + y - 18, 19 = 5*p - 2*y. Suppose 3*s - 3*c - 6 = 0, -3*c + p = 3*s - 3. Let t(d) = 8*d - 8*d + s*d**2. Give n(t(q)).\nAnswer: 20*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 184*g**3*t**2 - 7*g**3*t + 7*g*t wrt t?\nAnswer: 368*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + -1 + 9\/(-32)*104\/(-78). Let f = 6 + -10. Which is greater: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 73\/4, -0.4, 8, -2, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3300 + 19715\/6. Let n = 116\/11 + -3631\/264. What is the common denominator of a and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(7\/4)))**(-1\/19) assuming x is positive.\nAnswer: x**(-7\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1404 divided by -108.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 134 + -133. Does 3\/25 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from cpm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -304, -680, -1068, -1474, -1904, -2364?\n\"Answer: -t**3 - 369*t + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0 - -4) + 13 + (42 - 47)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1303 is divided by 249?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146918, -146548, -146178?\nAnswer: -145808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 793036 divided by -198259.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2823*-12*5\/(-45)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 66970225.4824?\nAnswer: -66970224.4824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2010*a = -2005*a - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 119*b**2 + 65*b - 262291 wrt b?\nAnswer: 238*b + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6169, 6161, 6147, 6127, 6101, 6069?\nAnswer: 6031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 42*u + 802. What is b(56)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 13*a - 737. Let u be r(57). Suppose 2*p - 16 = 2*b, -4*p - 3*b + b = -14. Let n(v) = -1 + p*v - v - v. What is n(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/22 + 73511\/271073. Which is greater: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31480 divided by -15740.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 3*z**2 - z. Let o be r(3). Let h = -189 - -54. Let s = 140 + h. Put 1, o, s in increasing order.\nAnswer: o, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1588106, -1588109, -1588110, -1588109, -1588106, -1588101, -1588094?\nAnswer: -1588085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -59914410\/37 smaller than -1619309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((2280\/(-525))\/(-76))\/(12\/5))\/(8\/624)\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 6*c - c + 1 + 16*c.\nAnswer: 13*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-31)\/3 + (-2)\/3. Let j(a) = -8*a**3 - 2*a**2 - 8*a + 3. Let f(o) = 3*o**3 + o**2 + 3*o - 1. Let d(z) = y*f(z) - 4*j(z). What is d(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 7*z**2 + 3*z - 14. Let p be h(8). Suppose -4*a + l + 62 = -0*l, -5*a + p = -3*l. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-2 - -8) + -10 - (76 + -7 - 13))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006378 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j**2 + 37*j - 2462. What are the prime factors of u(-57)?\nAnswer: 2, 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1885\/(-20) + 4\/16. Let i = 128 + n. Solve -5*b + t + 2*t - i = 0, -32 = 4*b - 4*t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 36 + 27)*(1 + 7*y + 3*y - 2*y) to the form z*y + b and give b.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = 0, -3*g = -2*n - g + 22. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 1:39 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -1, -36, 3, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, f: 2, i: 1, p: 1, n: 4, s: 3}. Give prob of picking 3 s.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/1 - (1 - 1276 - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**5 + 17*s**5 + 10*s**5 + (-1 - 2*s + 1)*(-1 - 2*s**4 + 1) - s + s + 2*s**5.\nAnswer: 28*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000061121462 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + n = b - 20, 3*n = 5*b - 36. Let z = b + -4. What is the units digit of 9 + -4 - z\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140816146 is divided by 1323.\nAnswer: 1318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 - 18*a**2 + 2*a - 12. Determine k(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/15*315\/(-42) - -13?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i + 944. Let y(m) = -m + 477. What is -2*g(k) + 5*y(k)?\nAnswer: k + 497","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {r: 4, g: 11, h: 2, a: 1, i: 1}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*84\/(-140).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/5 + 11692*q\/5 - 5033808\/5 = 0. Calculate q.\nAnswer: 468, 5378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12846\/1045 - 3\/418. What is the common denominator of l and 63\/58?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**3 + 6*q**2 + 6*q + 6. Let o(t) = -t**3 - t**2 - t - 1. Let v = 21 + -6. Let d be 39\/v + 6\/15. Suppose 0 = r + d + 3. Give r*o(n) - h(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -81908*b - 1965787. Give w(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11596 is divided by 1902.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 3 = -5*u. Let l(y) = y**3 + 3*y**2 - 1. Let x be l(u). Is 1\/6 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135*b**4 - 10*b**3 - 19*b + 292 wrt b.\nAnswer: -1620*b**2 - 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1821 - -1819.181. Round r to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 43, 5, -4.\nAnswer: -4, 0, 4, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*a - 77. Let d be 0 + 22 + 2 + -2. Let m = a - d. Calculate the remainder when 44 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14330762 or 14330763?\nAnswer: 14330763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 22*b - 12 = -18*b, j + 6 = -4*b. Suppose 2*m - j*v + v = 1, -v - 7 = -5*m. What is the least common multiple of 738 and m?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639 a factor of 127234459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -154*r - 27. List the prime factors of w(-8).\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5 - 8 = 0. Suppose -2*j = x*j - 800. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 + 5*u**2 + 0*u**2 + (-3*u + 4*u + u)*(u + 2 - 2) - 38713*u**2 + 38717*u**2 - 37*u + u.\nAnswer: 8*u**2 - 36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34*510\/(-137696) + (-3)\/(-24). Let t = a - 5186\/3679065. Is t greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135.47 - 135.67. Put -3, -1, a, 2\/2815, 3 in decreasing order.\nAnswer: 3, 2\/2815, a, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 147 - 4*i**2 - 82 - 72)*(20*i + 11*i - 19*i).\nAnswer: -48*i**3 + 24*i**2 - 84*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 - 2*f**2 + 0*f**2 - 3*f**2 - 2 + 2 + (f + 3 - 3)*(2*f - 2 + 2))*(0 + f**2 + 0)*(-27*f + 4*f + f).\nAnswer: -44*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, i: 3, v: 2, j: 5, p: 5}. What is prob of sequence ji?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -1 - (-28 + 28))*17. Let q = 61 - s. Calculate the remainder when q is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.8 + -19. Let l = 27\/10 + -6\/5. Sort 1\/4, l, p in decreasing order.\nAnswer: l, 1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - c - 1. Suppose 0 = -0*g - 2*g - 12. Let t(w) = -5*w**2 + 7*w + 8. Calculate g*f(p) - t(p).\nAnswer: -p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**3\/3 + 11*z + 87. Let g(n) = 5. Determine -7*g(p) + 3*r(p).\nAnswer: 3*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + a - 1. Let i(r) = -3*r**2 + 5*r - 3. What is i(v) - 4*l(v)?\nAnswer: -7*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -295, -492, -817, -1264, -1827, -2500?\nAnswer: -3277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 6:33 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + (0 - (-1234)\/(-4)))*(-86660)\/15475. Which is smaller: o or 1718?\nAnswer: 1718","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/10*20\/(-8). Let r be d + 2*(2 + (-6)\/4). Suppose -2*l + r*v - 4*v = -1046, 0 = v - 3. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11228\/63 - (-4)\/(-18). Suppose 164*u + 238 = r*u. Which is the third biggest value? (a) -0.8 (b) -0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22770019 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/n**(-1)*n*n*n**(-9)*n)\/(((n**(-4)*n)\/n)\/(n*n\/n**(-14))) assuming n is positive.\nAnswer: n**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/346 and -37\/1155294?\nAnswer: 1155294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 5*z**2\/2 + 3*z + 4. What is d(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 12:28 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + -50. Let v(q) be the third derivative of 0*q**o + q**2 + 1\/24*q**4 + 1\/60*q**5 + 0 + 0*q. Find the second derivative of v(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from hpppppph.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10321620 in -0.4, 0.08, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*b + 5*n, 31*n = -3*b + 33*n + 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 995.4.\nAnswer: 992.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34750 and 157815040.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194284 by 6.\nAnswer: -97142\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2328373872+-0.16\nAnswer: -2328373872.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 24*i + 319. Determine s(-27).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 357, 831, 1301, 1767, 2229, 2687, 3141?\n\"Answer: -2*l**2 + 480*l - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/j*j*j**3)\/(j**0)**(-24) assuming j is positive.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 401601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 3:17 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2793*g + 54 + g**2 - 2797*g - 41. Determine i(9).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/(-217) + 6*1\/(-70).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 9 + (2 - (7 - 28)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1252 + 11*f - 599 + 21*f - 653 - 12*f.\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d*d**(1\/16))\/d)\/d)\/d)**(-3\/8)\/(d**(-20))**(-2\/3))**(3\/8) assuming d is positive.\nAnswer: d**(-4841\/1024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8765 - 0.1235. What is the nearest to -0.1 in 0.4, -8\/5, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 6:56 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7348849 - -0.041\nAnswer: 7348849.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4)*(-25 - -9) + -3. Suppose 6*z = h*z + 18. What is the smallest common multiple of 16 and z?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3 and -35\/1139.\nAnswer: 3417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 5445?\nAnswer: 5445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 10*o - 2 = -2*x, -3*o - 2*x = -2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 186 - 185.9999506. What is n rounded to six decimal places?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/26125*-11*(-5)\/(-2)*1.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31758 - -77413. What is the thousands digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1550*o - 1543*o - 133 = 0 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/(-30))\/((-1)\/(-5)). What is the units digit of (m\/(-4))\/(1\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93\/7 greater than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - (116\/24 + -1))*3. Suppose l + 0*l = 0. Factor m*g**2 + 0*g + l.\nAnswer: g**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -111.4 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 + 2*j**2 + 4*j - 10. Suppose y = -3*y + 24. Let d = 13 - y. Let n be t(d). What is n rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (18822\/(-99) + 0). Let b = -2064\/11 + r. What is the common denominator of b and 4\/99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48612 - 21803. What are the prime factors of i?\nAnswer: 17, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 - 143*u**2 - 2450*u + 56. Give n(-43).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from {n: 5, h: 2, c: 6}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -19*c - 213*c**2 + 6 + 221*c**2 + 4*c**3 + c**3 = 0.\nAnswer: -3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.079968442 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3 - 20*n**3 + 15*n**3 - 84*n + 48*n**2 = 0.\nAnswer: 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08 or -1417335?\nAnswer: -1417335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -794 divided by -1?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + 0*u**3 - 3*u**3 + (u + 2*u**2 - u)*(4*u - u - 4*u) + 0*u**2 + 0*u**2 + u**3 - 290*u**2 + 4 - 281*u**2 + 577*u**2 + u**3 + 2*u.\nAnswer: -4*u**3 + 6*u**2 + 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5067690 divided by 10?\nAnswer: -506769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 2 + (-21 - 7) - (3 - 1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3983232 by -66.\nAnswer: -60352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7783*w**5 - 2*w**4 - 29*w**3 + 180106*w wrt w?\nAnswer: 155660*w**3 - 24*w**2 - 174*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.7395 + -0.2395. Which is the nearest to n? (a) 0.5 (b) -0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d + 24 = 277 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14295320 by -54982.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (2 - -2) - 5. Is t >= 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(750)*1 + (sqrt(750) + sqrt(750) + sqrt(750)*-1*6 - sqrt(750)))\/((-1*(sqrt(72) - sqrt(72)*-2))\/(sqrt(768) - -1*sqrt(768) - sqrt(768))).\nAnswer: 160*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-410)\/(-41) - (7\/21 - (-53)\/3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 304 - 560. Let o = 714 + n. Suppose 134 = -9*r + o. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyyyyysyu. What is prob of picking 2 y?\nAnswer: 91\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1440308 = 2*f + 3*t, 5*t = 5*f + 2*t + 3600749. Let l = f + 1038151. What is l rounded to the nearest 10000?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**2\/2 - m + 1. Let d be s(3). Is 52 - 2\/d*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 3*t + 4*t + t + 13. Let m(j) = -j - 7. Let d(s) = 5*m(s) + 3*w(s). Suppose 3*x = -x + r - 11, -5*x - 3*r = 18. Calculate d(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b**3*r**2 + 3*b**3 - 33*b**2*r**3 + 79*b**2*r - 2*b*r**2 wrt r?\nAnswer: -10*b**3 - 198*b**2*r - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**3\/6 + 98*r. Let d(k) = 57*k**2 + k. What is d(t(m))?\nAnswer: 57*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 80\/36) + 3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - -7 - -115 - 87?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9736512 and 10560?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -8 (b) -1\/3 (c) 0.2 (d) -2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -586 * -1\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 21724395 divided by 33\nAnswer: 658315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 4*j**2 + 5*j - 5. Let m be k(4). Let h = -542 + 497. Let i be (-96)\/h + (-2)\/m. Sort -28, 5, i in descending order.\nAnswer: 5, i, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11302003033 (base 4) to base 13\nAnswer: 410ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 4 - 152\/64*-2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -3, 21, 77, 177, 333, 557, 861?\nAnswer: 1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3727*v**2 + 2608*v**2 + 3567*v**2 + 7327*v**2 to the form z*v**2 + o + s*v and give z.\nAnswer: 9775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115764 and 1012?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29.2 - -26.2. Which is the nearest to -1\/3? (a) -2\/21 (b) r (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1222875711, 2445751422, 3668627133, 4891502844?\n\"Answer: 1222875711*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -115253, -115254, -115255?\n\"Answer: -i - 115252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 15297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -21) + (34 - 12).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3 = o + 3*g, 0 = -4*g + 4. Let i(p) = 2*p + 30. Is 11 a factor of i(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491123593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80679?\nAnswer: 3, 26893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 34624\/20 + (-7)\/35. Suppose -3*i = 651 - h. Is i a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/17? (a) -10\/7 (b) -5 (c) -3 (d) -0.5 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*m + 4*m**5 + 2*m - 8*m + 0*m**5 wrt m?\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 16. Solve -6*u + o*u - 16 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 5*z - 2*z)*(968*z - 1944*z + 1019*z + 10).\nAnswer: -43*z**2 - 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -22022002112222111?\nAnswer: -22022002112222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*w + 9 = 0, -2*z - 7 = w + 11. Let u be (-2 - z\/3) + 1. Solve u*c = c - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16665472 and 256.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5 - 3*z**4 - 6*z**3 + 10*z**2 + 21*z + 9 = 0 for z.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) 0.3 (b) -4\/7 (c) 4 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 2*m = -8. Suppose n = 3*d + 23, 5 + 38 = 2*n - 5*d. Let q = -16 + n. Is q greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-8)\/14) + 0. Let y = 2.4585 + 0.6605. Let v = -0.119 + y. Are v and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 + -0.33. Let t = -0.4 - x. Let y = -179.2 - -179. Put t, y, -3 in increasing order.\nAnswer: -3, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6658 - 6660.9. Let c = -0.05 + -0.25. What is the biggest value in c, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-3 + 1 + 3)*(-17 + 3*x + 17 + 3*x + 2*x - 4*x + (3 - 2 + 0)*(5 - 5 - 2*x) - 4*x + 4*x + 2*x).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.054?\nAnswer: 0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9188.\nAnswer: 2, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 302022341 (base 5) in base 3?\nAnswer: 2021012120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108201025.\nAnswer: 5, 179, 24179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1190 and 1530.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 23012 (base 4) to base 12\nAnswer: 4b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21549 + -21562. Which is the closest to 1\/102? (a) -0.1 (b) 0 (c) m (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 1839 = -513. Let b = -269 + s. Solve 5*q + b = 0, -2*p + 5*p - 2*q - 19 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 4*n = -206, 4*n + 51211 = -5*d + 51410 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -392143 - 5957857. What is q rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9, -11, -11, -9?\n\"Answer: f**2 - 5*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from uhkkhhhhkhkchkuhhhcc.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6950721353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 12.6 and 16.\nAnswer: 28.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 16 = -2*f - 4*i, 2*i = -10. Solve f*c + 8 = -0*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 0*z + 20. Suppose -16 = -2*r + z. Suppose -d + 0*d + 2*j + 15 = 0, j - r = -3*d. Solve -31 = -2*n + d*i, -3*i - 33 = -3*n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*z + 6*z = -1983 + 1073. Sort -20\/11, 4, 7, z in descending order.\nAnswer: z, 7, 4, -20\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-20)\/24*(-2)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-567)*21*0)\/((-18)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*t - 30, -l + 0*t - 3*t + 26 = 0. Let x = l + -21. Sort 0, -4, x in increasing order.\nAnswer: -4, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 46\/27 (b) 1 (c) -0.1 (d) 148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -535 - -780. Let c(q) = -q + 5. Let r be c(0). Suppose b = r*d + 85. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 3:04 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4.93 (b) -4 (c) 0.3 (d) -18 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7))**(19\/2)\/(r**(1\/6)\/r*r*(r*r*r\/r**5)\/r) assuming r is positive.\nAnswer: r**(5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -0.3, 1, 0.0038?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/5 + 5536*n**3\/5 + 759496*n**2 - 9274080*n.\nAnswer: 2*n*(n - 12)*(n + 1390)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 603 and 195.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3515426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -42*r**3 - 2*r**2 - 2*r - 1. Let g be c(-2). Suppose 4*w = n - g, n = 5*w + 73 + 258. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4749632.8492232 - -3.\nAnswer: 4749635.8492232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*u - 145 + 293 - 147)*(-3*u + u + 12*u).\nAnswer: -670*u**2 + 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g - g + 2*g = -232 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10830 = -144253*r + 143892*r for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -274e - 3cf?\nAnswer: -2b1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104842, 104564, 104286, 104008, 103730, 103452?\nAnswer: 103174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 119894 or 119861?\nAnswer: 119894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66346 (base 7) to base 4.\nAnswer: -10010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*y + 1128, 898*d - 16 = 894*d. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + -146. Which is bigger: -157 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -109*w**6\/3 + w**3 - 12*w + 318. What is the third derivative of d(r) wrt r?\nAnswer: -13080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -5 in descending order.\nAnswer: 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-35))\/(12\/(-30)) - 22\/(-26)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 5*i**2 - i + 1. Suppose 27*w - 32*w - 25 = 0. Determine o(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/9 + 506*n**2\/3 + 2504*n\/3 - 21112\/9 = 0 for n.\nAnswer: -754, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(99)*1 - sqrt(99) - sqrt(99)))\/(-5*-1*sqrt(1089)).\nAnswer: -3*sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -21. Let k(z) = -2*z - 10*z**2 + 1 + 0 + 2*z. Determine k(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c + 25. Let b = 194 + -192. Let y be m(b). Are y and 12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -211524 + -5?\nAnswer: -211529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 26*g + 109. Give a(54).\nAnswer: 1513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*x - x + 36 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**5\/30 - b**4\/24 - b**3\/2 + 8*b**2. Let p be s(2). Let d be 0\/(0 - (4\/(-4) + 3)). Put -4, d, p, 1 in decreasing order.\nAnswer: p, 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 11*h - 18. Let f be t(-9). Let l = 5693\/4 - 1432. Calculate the common denominator of 2 - (-10)\/f - 6\/27 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**5 - 290*p**4 + 635*p**3 + 2120*p**2 + 1200*p = 0.\nAnswer: -60, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.068515268 rounded to three decimal places?\nAnswer: -1.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -11*k**3 + 75*k**2 - 10*k - 23. What is l(7)?\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 4402?\nAnswer: -17608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.1 (c) -2\/817 (d) 398 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26644 - 11131. Round h to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kddkwjlkwjdwwd. What is prob of picking 1 k, 1 d, and 1 j?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k - 10 = 0. Let p(f) = f**3 + 10*f**2 - 2*f - 23. Let m be p(-10). Put m, -2, k, -23 in increasing order.\nAnswer: -23, m, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1609*j**3 - 653*j**2 wrt j.\nAnswer: 9654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5065023 - 45244*n - 5065023)*(4 + 2*n - 4) in the form j + x*n**2 + w*n and give x.\nAnswer: -90488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/54*(16\/(-10) - (-22)\/(-55))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/42*(-37 - 27370\/(-736)).\nAnswer: -1\/112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z = -20*z + s, -5*z - 8*s + 3*s = -25 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/6, 142, 0.5, 3\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 30 - 26 = 0. Suppose 0 = -3*a - 2*x + 57, -4*a - 5*x + 67 = -l. Suppose -v = -4 - a. Calculate the remainder when v is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*q - 639 + 639 + 101*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2511 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -j - 10. Let k = j - -4. Let a be (-1 - -3) + (1 - 0). Solve k*f + 23 = -3*t, a*f - 4*t = 2*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -86, -74, -84, -128, -218?\n\"Answer: -2*n**3 + n**2 + 23*n - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*k + 14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, -454\/5, -0.5 in decreasing order.\nAnswer: 62, -0.5, -454\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16475\/7 + -2359. Let a = 47\/21 - r. Find the common denominator of 91\/45 and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -31563\/2 (b) -0.1 (c) 89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.042 + -5.358. Let h = c + 5. Let f = h - 5.2. What is f rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12555*-0.3.\nAnswer: -3766.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxjxtdtj. What is prob of sequence txj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) 10 (c) -15 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 19, -3, 1\/8, -2, 18\/13, 3?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33563 - 167817\/5. Which is the smallest value? (a) 0 (b) 4 (c) 172 (d) t (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -19, -63787?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2 + 51*m - 144 = 0 for m.\nAnswer: 3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 7 + 6*b - 43*b - 48*b + 51*b + 2*b - 7*b + 3*b + (0 + 4 - 2)*(2 - 2 - 2*b) to the form x + s*b and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 86261448 a multiple of 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + d - 1. What is n(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 9 - 13)*(-1 + 1 + 2*k**2 - k**2 + 0*k**2 - 2*k**2 + (-4*k + 3*k - k)*(2*k - 4*k + k) + 4*k**2 + k**2 - 3*k**2).\nAnswer: -105*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2. Let g(y) be the first derivative of 110 - 332\/3*y**3 + 0*y**2 + 0*y. Calculate d(g(n)).\nAnswer: -110224*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) -2\/7 (c) -30\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 + 0*p**2 + 8 + 5*p - p. Let a(m) = -5*m**2 - 5*m - 9. Let v(t) = -3*t**2 + 17. Let b be v(-7). Let u = -136 - b. What is u*y(h) - 5*a(h)?\nAnswer: h**2 + h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 5:40 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-18\/7)*k)\/k*k*(k**44*k)\/k assuming k is positive.\nAnswer: k**(297\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000579074 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4) - 18\/4. Let z(m) = -m**3 - 4*m**2 - 3*m - 4. Let v be z(j). List the prime factors of (6\/v)\/(2\/16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4*n + 12. Let c(k) = -3*k - 14. Let m be c(n). Let r(w) = 0 - 7*w + 2 + 4 + 2*w**2. What is r(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7427, -14845, -22245, -29627, -36991, -44337?\n\"Answer: 9*x**2 - 7445*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98 + 98 - -45) + -41 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 10. Let f be l(5). Suppose j = f*j + 4. Let v be (0\/3)\/(8 - 2). Which is bigger: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 368*y**2 - 2*y + 5*y - 367*y**2 in the form v*y + t + k*y**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4212982 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63.19 - 2897.19. Let k = 2839.554 + v. What is k rounded to one dp?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 3057?\nAnswer: -305a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-three halves of a litre in millilitres?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 935650257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/67 and -39\/67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -75ce5 (base 15) to base 4\nAnswer: -1123112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2985 - -51.2985. What is the closest to 0 in -2\/9, 3\/11, i, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27671143693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -179020028.\nAnswer: 1\/44755007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1184 * -1684.\nAnswer: 1993856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19\/6 - -5\/12. Calculate the common denominator of r and ((-124)\/28)\/((-5)\/(2 + 3)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/8437634 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/6*3\/(-27)*6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 9855500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/(-60))\/(1\/(-2)))\/((-35)\/(-15)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15913309*v**3 + 68034589?\nAnswer: 47739927*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -147125, -147124, -147123, -147122, -147121, -147120?\n\"Answer: y - 147126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k + 6. Let w be b(-3). Suppose w = 5*j - h - 13, 0 = -4*j - 5*h + 3*h + 16. What is the units digit of (-1)\/(j\/3)*(-12 - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9817 times 0.1?\nAnswer: -981.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2555 = 500. List the prime factors of s.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t. Let m be d(-2). Let a(r) = 3*r**2 + 2*r - 2. Let p be a(m). Suppose -3*w + w = -p. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 263 and 563872?\nAnswer: 563872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 11:07 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 18. Calculate p(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + 304?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -307 - -153?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -9*v**7\/7 + 7*v**3\/3 + 8. What is the third derivative of l(q) wrt q?\nAnswer: -1080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 14 = -2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*z**3 + 5*z**3 + 4*z**3)*(2 + 503*z - 3 - 364*z) in the form l*z**2 + j*z + r*z**4 + a + x*z**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45238 by -4.\nAnswer: 22619\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -198.2 in -5, 0.2, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -123, -185, -247, -309?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 4)\/(-2 + 1). Let z = -1 - v. What is the second derivative of -2 + 2 + r**z + 2*r - 2*r**5 wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-7 + 2 - 2 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 296067 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a + 1. Let h(y) = y - 1. Let m(o) = 6*h(o) + k(o). Let x(v) = v - 2. Let z be x(5). Let i be ((-18)\/15)\/(z\/10). What is m(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + sqrt(80) + sqrt(10)\/sqrt(2)*-6 + 5*sqrt(25)\/sqrt(5)*2)*6)**2.\nAnswer: -62208*sqrt(5) + 426384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1)*3\/(-6))\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.28 + 37.72. Let i = -38.0000026 + a. What is i rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 42647715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 25 - 20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97579.\nAnswer: 97579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8708a9 + 23?\nAnswer: 870910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 508, 761?\nAnswer: 1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**7\/1050 - 11*v**6\/600 + v**5\/12 - 13*v**4\/120 + 391*v**2. Factor p(w).\nAnswer: -w*(w - 1)**2*(w + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4 - (-1)\/2)*(-5715)\/(-762)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 126, 533, 1206, 2139, 3326, 4761?\n\"Answer: -k**3 + 139*k**2 - 3*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 195712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/30 + (-14)\/(-5). Sort 5, j, -0.2, 93 in descending order.\nAnswer: 93, 5, j, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.33 + -0.03. Let c = -83199 + 4076749\/49. Sort 2, c, s in decreasing order.\nAnswer: 2, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2 + 2. Suppose -x*s - 7 + 21 = 0. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10527 + 347 = 509*f for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.38 - 0.02. Let l be 20\/35*14\/12. Let q = l - 11\/12. Sort q, 0.1, x in decreasing order.\nAnswer: 0.1, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 + -0.2276754.\nAnswer: -0.3476754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 - 78*i**2 + 57*i - 47. Let k be x(33). Let z = -5074 - k. Round z to the nearest one hundred.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 r when three letters picked without replacement from {a: 15, r: 5}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 64, 120, 170, 214, 252?\n\"Answer: -3*j**2 + 65*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r**2. Let n(z) = 10*z**2 - 16*z. Let i(t) be the second derivative of -t**4\/4 + 5*t**3\/6 + 2*t. Let v(c) = 16*i(c) + 5*n(c). Give v(y(g)).\nAnswer: 50*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 83, 206, 383, 614, 899, 1238?\nAnswer: 1631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) -0.4 (b) 0.4 (c) -1\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148785 is divided by 327?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(931) + sqrt(931) + 0)**2.\nAnswer: 3728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.037316268 to four dps.\nAnswer: -0.0373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -135 + 3*z + 135. Let f be t(8). Suppose 6*d - 2*d - 8 = -4*m, 0 = 4*d + 4. What is the greatest common factor of f and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -0.27. Let c = t + 0.049. Round c to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 1. Let m(s) be the second derivative of 2*s**3\/3 - 3*s**2\/2 + 2*s. Let f(n) = l(n) - m(n). Differentiate f(u) with respect to u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**4 - 1 + 0*u + 0*u)*(2 + 0 - 1)*(-89 + 39 + 39) in the form g*u + h*u**4 + n*u**3 + z + y*u**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 76*s**2 - 7*s - 73*s**2 + s. Let n(p) = p**2 - p. Determine -c(h) + 6*n(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 128205741?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a + 24*a + 0*a**2 - a**2 - 7*a.\nAnswer: -a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88298 is divided by 1104.\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4243 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7261 - 1014. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + sqrt(2940)*-4 + (sqrt(300)*3)\/sqrt(5))\/(sqrt(60)\/(sqrt(30)\/sqrt(6)) + sqrt(84)\/(sqrt(28)\/sqrt(4))).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 542807059.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(91)\/(-4*sqrt(112)) - ((sqrt(260)\/sqrt(5) - sqrt(52))*-1)\/((sqrt(132)\/sqrt(3))\/sqrt(11)).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7480, 7479, 7478, 7477, 7476, 7475?\n\"Answer: -j + 7481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, 1, 3 in descending order.\nAnswer: 3, 1, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 6. Let b = -21.0000145 + j. What is b rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s - 5*s)*(-1 + 4 - 1)*(-s - 6*s + 4*s) + 10*s**2 - 33*s**2 + 14 - 15.\nAnswer: -5*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1888 + -0.7\nAnswer: 1887.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -2391 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -177644 - 129?\nAnswer: -177771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 367470 to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 13, -0.2, 1\/2, 3347?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26.04 + 47.968. Let c = 0.23 + 21.77. Let o = b - c. What is o rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 2*t**2 - 12*t**4)*(2*t - 2*t - t) + 0*t**5 + t**5 - 2*t**5 + (3*t - 3*t + 4*t**3)*(-9*t - 8*t**2 + 9*t).\nAnswer: -21*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 111344143 (base 5) to base 10\nAnswer: 496798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -27*r + 23*r. Let y be (-32)\/(-112) - (36\/(-21) - 2). Solve y*k - 3*k = r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 5, 11, -3, -25\/2?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + 2) - 2 - (-4 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w. Suppose 11 - 21 = -5*p. Let h(x) = -x**p + 18841 - 18841. Determine f(h(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*sqrt(88))\/(sqrt(800)*2 + sqrt(8)).\nAnswer: 8*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + 3*d**5 + 0*d**4 + (-2*d**2 + 4*d - 5 - 4*d)*(-3*d**3 + 0*d**3 + 4*d**3).\nAnswer: d**5 - 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d3 (base 16) in base 3?\nAnswer: 222210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 25*c - 89. Calculate o(19).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.628 rounded to one decimal place?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 19, -11, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -5, 0 in decreasing order.\nAnswer: 0, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -319*y + 544. Let h(u) = -4*u - 1. Determine h(q(z)).\nAnswer: 1276*z - 2177","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-7 + -5))\/(3\/(-150)*-5). Solve g = 2, 19 = b*h - 16*g + 18*g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1415055 - 103?\nAnswer: -1415202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 469, 4, 5 in descending order.\nAnswer: 469, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 11.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 + 104. Suppose -2*z + j = -147. What is the units digit of 15\/5 + z - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlo when three letters picked without replacement from {o: 2, j: 3, m: 4, f: 1, l: 1}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1313021 (base 5) to base 6\nAnswer: -320231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57467.3 times -8?\nAnswer: -459738.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50658269 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, b: 2, e: 4, z: 4, p: 4, l: 2}. Give prob of picking 1 a and 1 e.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2876 + 0.3. Round f to 4 dps.\nAnswer: 0.0124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 2. Let h be p(-2). Suppose -258 = -h*t + t. Suppose -s + 2*f - t = -4*s, 4*s - 5*f = 153. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014.1905 rounded to the nearest ten?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -19184*f. Let u(z) = z. Determine a(u(j)).\nAnswer: -19184*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10115229 and 5742.\nAnswer: 667605114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - 13.5. Let k = -9 - i. Suppose 0 = -10*s + 11*s + 1. Which is the third biggest value? (a) -4 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.26 - -14.74. Let t = -10 + z. What is the second biggest value in 1, t, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 337663, 337635, 337589, 337525, 337443?\n\"Answer: -9*t**2 - t + 337673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - u - 18, -6 - 14 = z + 5*u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*q + 174. Let n = q + -37. Does 12 divide n\/(-12) + (-170)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -0.25, 65648?\nAnswer: 65648","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -60.341379 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11506 (base 8) to base 5.\nAnswer: 124214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 88*b**2*j**3*o + 204*b**2 - 27*b*o + 1746*j*o - 12*o wrt j?\nAnswer: 264*b**2*j**2*o + 1746*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 39*s - 18. Suppose 4*q + 2*d + 76 = 0, -2*q + 4*q + 48 = 4*d. Let k be w(q). Solve 2*t - 3*l + 5 = 0, -t - k*l = -7 - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-5)\/(-140)*6\/2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.45448 + -53.\nAnswer: -75.45448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21564 - -64706\/3. Solve r - 1\/6*m**2 - 2*m = 0 for m.\nAnswer: -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y + 44 - 204. Let l(t) be the second derivative of t**3\/6 + 2*t. Does 16 divide l(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65730997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2\/13 (c) -274\/641 (d) -1\/4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0531178 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 + 58*a + 126. Give r(31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1226*y - 1231*y + 3*r - 28 = 0, -52 = -y - 3*r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.060075ng in tonnes?\nAnswer: 0.000000000000009060075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3441 and 1767.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 0.2856.\nAnswer: -0.2144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + 5 - 2*x + x + 4. Let r be j(-8). Let n be 2\/6*3 - 0. What is the greatest common divisor of r and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9592 = -78*q + 9514 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 70683, 141367, 212051?\n\"Answer: 70684*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 819488 + -302888. What is c rounded to the nearest 10000?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5432 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*z - 17*z - 25*z - 65*z + 369*z**2.\nAnswer: 369*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtgmgggtmtgmgghbhhu. What is prob of sequence umbh?\nAnswer: 1\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - -1.61. Let v = w + 1.706. Let n = -3.3 + v. Round n to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-192)\/(-1040))\/(3\/960*-16).\nAnswer: -48\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from nknnkrnkknk?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14, -50, -134, -290, -542, -914, -1430, -2114?\n\"Answer: -4*h**3 - 8*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*u**4 - 617*u**3 + 23002*u**2 wrt u.\nAnswer: 336*u - 3702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 313, 330, 361, 412, 489, 598, 745?\n\"Answer: f**3 + f**2 + 7*f + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2571, -2574, -2577, -2580, -2583, -2586?\n\"Answer: -3*p - 2568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 196*z**2 + 2. Let l(b) = 86*b - 3. Let y(f) = 55*f - 2. Let s(c) = 2*l(c) - 3*y(c). Calculate x(s(h)).\nAnswer: 9604*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*o + 34 + 196, 2*s + 265 = 5*o. Let x = o - 34. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = 1376*k - 1372*k. Let j = k + 125. Let o(l) = 4*l + 11*l - 4*l - 1 + 2*l**2. Let a(i) = i**2 + 6*i - 1. What is j*o(p) + 7*a(p)?\nAnswer: -p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*m - 10, -3*m + 3 = b - 7. Suppose u - m*u = 4. What are the prime factors of u\/(2\/21*-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - (-6 - 5) - 5) + 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) 16 (c) -1 (d) -1\/9 (e) -12\/631\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688029?\nAnswer: 3, 229343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 48 = 2*q, -85667 = 4*d - 85699 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-801)\/(-12) - (2\/2)\/(-4). Let a = u - 57. Suppose 0 = j + j + a, 4*m + 3*j = 513. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 24*h**2 - 3*h + 244. Give r(-23).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 382\/(-573) + 22\/6. Solve 2*h - 22 = s*z + z, 5*z + 4*h = -21 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 5 = 16*m. Suppose -5*f - 40 = -5*b + 40, 0 = -2*b + 4*f + 38. What is the remainder when b is divided by 4*(25\/10 - m)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 31) + -2 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4572 divided by 307.\nAnswer: 4572\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, y: 1, g: 2, v: 2, i: 1, d: 1}. What is prob of sequence vyiq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23784495.\nAnswer: 3, 5, 7, 29, 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 != -11554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -32*l**5\/25 - 6*l**4 - 193*l**3\/30 + 3*l**2 - 2*l\/5 - 100. What is w in x(w) = 0?\nAnswer: -2, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22106526 + 2?\nAnswer: 22106530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227, 471, 715, 959, 1203?\nAnswer: 1447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -285.119726 - 185462\nAnswer: -185747.119726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144335970.\nAnswer: 2, 3, 5, 19, 84407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-9)*x)\/(x*x*x**6)*(x*x**(-2\/23)\/x*x)\/((x*x**(-2\/3)*x)\/x))\/((x*x**4*x*x**6)\/(x\/x**6*x*x**(-2))) assuming x is positive.\nAnswer: x**(-2306\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 - -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, 18819, 3 in increasing order.\nAnswer: -115, 3, 18819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 7*h**2 - 6*h + 4. Let t = -14 + 19. Suppose 2*s = -0*s - 4*o + 4, -3*s + 8 = t*o. What is the remainder when n(s) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.6 - -7.6. Suppose -m + i = -0*m + 1, 2*m - 4*i = -10. Which is the third biggest value? (a) m (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4 + 164*k**3 - 163*k**2 = 0. Calculate k.\nAnswer: 0, 1, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -11*k - 6. Let d be ((-32)\/(-20))\/4*-25. Let h be u(d). Suppose 5*c = 9*c - h. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 4*n - 18. What is the remainder when 53 is divided by k(9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5305152 (base 6) to base 16\nAnswer: -3eedc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/176186 and 43\/1233302?\nAnswer: 1233302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 2, q: 2, i: 1}. Give prob of sequence jqq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -2221211?\nAnswer: -2221221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-45))\/(12\/9). Let p(i) be the second derivative of 0*i**4 - 1\/6*i**3 + 2*i + 0*i**2 - m*i**5 + 0. What is the second derivative of p(d) wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17587 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307486365 is divided by 1076?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14511.\nAnswer: 3, 7, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 162128\/(-192) + -2*(-6)\/(-16). Let t = -845 - m. Which is the fourth biggest value? (a) -2\/5 (b) t (c) -5 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.29, 2\/13, -2, 76, -0.1, 8 in descending order.\nAnswer: 76, 8, 2\/13, -0.1, -0.29, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/48)\/((-2)\/(-56)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*v - 7 - 147*v + 77*v + (-2 - 3 + 4)*(-3*v + 6*v + 6*v))*(0*v**2 - v**2 - v**2).\nAnswer: 8*v**3 + 14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12811717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**4\/12 - 84*m**2. Let i(l) = -17*l. Determine s(i(o)).\nAnswer: -34*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - n - 4 = 0, -5*h - 3*n = 4 - 2. Let v(a) = -4*a**3 + 2*a**2 + 4*a + 3. What is the remainder when 29 is divided by v(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 4*d + 26, -v = -378*d + 377*d - 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.5. Let u = 3310.7 - 3173. Let x = u - 138. Which is the smallest value? (a) z (b) 6 (c) 0.3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 194 + -164. Let t(k) = 2*k + 8. Let f be t(-2). Suppose 6*p - p - f*i = 505, 2*i + 515 = 5*p. Calculate the greatest common divisor of p and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -651*p. Let z(s) = 3*s. Give z(v(n)).\nAnswer: -1953*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**4\/6 - h**3\/3 - 10*h**2. Find the first derivative of r(o) wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/8, 1, 81677?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*g - 2*k, 5*g - k - 4 = 4. Let s(j) be the first derivative of 14\/3*j**3 - j + 1\/2*j**2 + 16. Determine s(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Suppose 0*s - 110 = -5*s + z, -2*s + 3*z + 57 = 0. Suppose x = -l + 21 + 2, x + 2*l - s = o. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908196 is divided by 562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 366247 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 - 58. Is u != -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 126637*q - 5698654. Calculate y(45).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2346914 to the power of 1\/2, to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 2*h + 5*h)*(4*h**2 - 4*h**2 + 4*h**3) + 1389*h**4 + 1798*h**4 + 983*h**4 in the form j*h + p*h**3 + l*h**2 + r*h**4 + f and give r.\nAnswer: 4178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 6*l + 2*k = 30, -2*l + 3*k - 5 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**3*t**2 + 10*n**3 + 102*n*t**2 - 7*n with respect to t.\nAnswer: 6*n**3*t + 204*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 317 - 217. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1053 + -651220423.201.\nAnswer: -651220423.3063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 9:01 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*y - 5*y**2 + 2 - 7*y**2 - 3*y**3 + 0 + 11*y to the form r*y**2 + d*y + x + s*y**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 230, 393, 654, 1007, 1446, 1965, 2558?\n\"Answer: -m**3 + 55*m**2 + 5*m + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, 1, 59, 34, 5, -7 in decreasing order.\nAnswer: 59, 34, 5, 2, 1, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42 + -1019a4?\nAnswer: -101962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -462?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*n - 75330 = -8*n. List the prime factors of n.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5250802 - -1?\nAnswer: 5250803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one fifths of a century?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 4*i**2. What is the units digit of s(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 2. Let x be c(18). Suppose 0*q = -2*q - x. Let p(b) = 16*b + 6. Let i(k) = 5*k + 2. Suppose -5*j + 11 = -4. Calculate j*p(s) + q*i(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-214)\/(-412) + (-1)\/2. Let a = 86069 + -86068.8. What is the third smallest value in a, 3, s, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -5 (c) 2 (d) 0.3 (e) 10 (f) -389 (g) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 19*g**3 - 2*g**2 + g. Calculate the smallest common multiple of 1*12*1\/2 and j(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 132*r**2 - 504*r + 496.\nAnswer: -2*(r - 62)*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r - 8*r**2 + 5*r - 2*r wrt r?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 166481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 414 and 184?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28354 - 102798 = 7593*u + 438323 for u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9*j**2 + 4*j - 2. Give z(3).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 0.03, -0.05, 2 in decreasing order.\nAnswer: 5, 2, 0.03, -0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/19 + -11\/190. Let x(k) be the second derivative of 1\/6*k**4 - 1\/15*k**6 + 1\/3*k**3 + 0 + 2*k - t*k**5 + 0*k**2. Factor x(a).\nAnswer: -2*a*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 139 + 9 = -4*s, 4*s - 2*d = 120. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 11:53 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 l when four letters picked without replacement from udugmgguulgauga?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74589288 divided by 37294644.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 100394487 divided by 1\nAnswer: 100394487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 630 by 42.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g + 9. Let f be z(7). Suppose 449 + 10 = -17*v. Let r = f - v. Solve -h + 2*n + r = 0, 0 = h + 3*h + 5*n + 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, k: 10}. Give prob of picking 2 r and 2 k.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1001230 and 4838?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10617720523 + -0.1616\nAnswer: 10617720522.8384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31213 - -1?\nAnswer: -31212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -448479 or -448480?\nAnswer: -448479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 192*h**2 + 5*h + 17. Let y be b(12). Suppose 3*g - s - y = 4*s, -9239 = -g + s. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -139*c. Let i(s) = s. Give -834*i(v) - 2*p(v).\nAnswer: -556*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 650 and 579850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102011 - 1?\nAnswer: -102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3822635?\nAnswer: 5, 29, 41, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 6. Let w be l(2). Is 52\/(-10)*(-14 - w) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*i**5 - 858*i**4 - 206*i**3 + 858*i**2 + 214*i = 0. What is i?\nAnswer: -107, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3496\/2760)\/(-3*(-4)\/180)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + o + 9 = 0, -6*o - 3*o = q - 13*o for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11, -33, -61, -95, -135?\n\"Answer: -3*d**2 - 13*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24663 and 9?\nAnswer: 73989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -1121, -244 in increasing order.\nAnswer: -1121, -244, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -23\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**2 - 5*s + 189. List the prime factors of g(16).\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40315, 40317, 40321, 40327?\nAnswer: 40335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ooomommmmmmmmm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 - -67. Suppose -4*h + 4*r + 23 = -153, 4*h = -r + 176. What is the remainder when j is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*p - 5 - 2)*((-3 + 0 + 17)*(-1 + 2 - 3) - 3 - 5 - 2).\nAnswer: 76*p + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) 1 (c) 253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -0.1 (b) -1\/6 (c) 2 (d) -1\/8 (e) -0.2003 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02227487 rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 409 - 404. Let r be q\/15*-20 - -7. Which is the biggest value? (a) r (b) 1\/2 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 61*y - 4824. Determine b(72).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b - 5*b + b)*(16 + 5 + 0) to the form i + z*b and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(288\/(-40))*6\/15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - (1 + (-92)\/(-20)). What is the third biggest value in -1, p, 0, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1820*c**3 - c**2 + 2. Let x be r(-3). Let b be (2\/(-8))\/((-32)\/384). Suppose 0 = b*k - x + 4133. What is k rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255*i + 284445071 = 97869986. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 11 = 4. Suppose 3*f = -f + 4. Put f, -1, c in increasing order.\nAnswer: -1, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -29. Suppose 4 = -m + 2. Which is the third biggest value? (a) 0 (b) m (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n - 21. Let y be x(12). Suppose 0 = -3*i - 0*i + 3*l, -y*i - 6 = -5*l. Suppose 4*r**2 - r**2 + r**5 - 3*r**2 - r**i = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 5*v = -7 + 1, -2*q - 5*v - 9 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550893 is divided by 1016.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -12*s - 1. Let w be 2\/(0 + 6\/3). Let v be q(w). Let z = v - -19. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 593100 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2299) - (4 + sqrt(19) + 2)**2)*-4 + (sqrt(114)\/(-3*sqrt(6)) - sqrt(114)\/(sqrt(6)*1))*4.\nAnswer: -4*sqrt(19)\/3 + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19613, -19420, -19229, -19040, -18853, -18668, -18485?\nAnswer: -18304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) -35 (b) 2 (c) -22 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/16)\/(10\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000710001709 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuuiuvpgu. Give prob of picking 2 u and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2626, -3414, -4202, -4990?\n\"Answer: -788*r - 1838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) -10 (b) 0 (c) 1\/40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 11*d**2 + d - 4. Let a be x(4). Suppose -6*b = -2*b + a. What is the common denominator of 83\/20 and ((-16)\/(-24))\/(b\/(-177))?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -847*a + 847*a - 12*a**2.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 44. Let o = -32 + f. Let n = 30 + o. Sort -3, n, 2 in ascending order.\nAnswer: -3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 247\/2 + -123. Let x = 134.93 + -135. What is the fourth biggest value in -2\/11, x, f, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/((-6)\/(12\/(-4))) - 2. Suppose 0 = 3*t - 4*n - 83, -6 = -u*t - 5*n + 11. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3576 and 55\/236314.\nAnswer: 2835768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-10)*2\/(-3) + 19302848\/(-1970). Do -9798 and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222027167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 2:14 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 155062 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 931 = 2*n, 3*i + 21*n - 2793 = 26*n. List the prime factors of i.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b - 67*b**2 + 10*b.\nAnswer: -67*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - ((13 + 2 - -1) + 58 + -22 + -49).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-15))\/(4\/9).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - j + 768. Round j to the nearest ten.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9082112329?\nAnswer: 9082112329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 90\/25)*-9*600\/(-108)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17, 36, 79, 158, 285?\n\"Answer: 2*g**3 + 5*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 4*u**2 - u**2 + 6*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -8. Let v(j) = -j**2 - 8*j - 8. Let i be v(-6). Let y be (-1 + -3)\/((-1)\/6). Solve r + 5*q + 22 = z*r, -i*q - y = 4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**5\/3 - 772*a**4\/3 + 80408*a**3\/3 - 1138948*a**2\/3 + 4071110*a\/3 - 3011800\/3 = 0.\nAnswer: 1, 4, 11, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 17.36682 years?\nAnswer: 0.1736682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -275 + 289. What is the first derivative of -153 - l*m**2 + 94 + 114 wrt m?\nAnswer: -28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r**3\/9 - 46*r**2\/9 - 28*r\/9 + 10\/9 = 0. What is r?\nAnswer: -5, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 7*d**2 + d - 1. What is a(3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 5, l: 1, r: 2}. What is prob of sequence ee?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5865\/11726 + -1\/5863. Let a(y) be the first derivative of g*y**2 + 16*y + 8. Give a(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4607309 to the nearest integer?\nAnswer: 2146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 242869 - -1?\nAnswer: 242870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65466517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1070*x**2 - 1070*x**2 + 176*x**4 + (2*x**2 + 2*x**2 - 7*x**2)*(6*x**2 - 2*x**2 - 3*x**2) - x**3 + x**3 + x**4.\nAnswer: 174*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4557541 bigger than -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -59, -144, -265?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 574 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6\/13 (b) 0.1 (c) -3 (d) 0.4 (e) -2\/5 (f) 645554\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**2 + 3*f - 3*f + 57*f**4 - 50 - 48*f**4 wrt f?\nAnswer: 36*f**3 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 275 - 275. Let o(l) be the third derivative of 0*l**4 + s*l**3 - 1\/20*l**5 - 7*l**2 + 0 + 0*l. Let p(c) = 3*c**2. Give o(p(m)).\nAnswer: -27*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*b - 6 + 6)*(-2 - 4 + 1) to the form v + c*b and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 1035.\nAnswer: 11385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -813849936 by 16.\nAnswer: -50865621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-33))**16 assuming p is positive.\nAnswer: p**544","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 234*r - 236*r + 3*c + 5, 3*r + 2*c = -25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12153706, -12153705, -12153704, -12153703, -12153702?\n\"Answer: v - 12153707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**4\/12 + f**2. Let c(m) = 14*m + 4*m**2 - 14*m. Determine q(c(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-42) - ((-679)\/(-388) - 50\/24).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 39 = 5*c + 9, 2 = -5*c + 3*z. Solve 0 = 2*v + 2*n + 4, -2*n - 12 = -c*v - 0*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*c + 131 + 128 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2*2*(-21)\/28.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3130, -502, 7880, 22016?\nAnswer: 41906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(0 + -1) - 5. Let m(r) be the second derivative of 0*r**2 + p*r**3 - 3*r + 1\/4*r**4 + 0. Let f(h) = -h. Determine f(m(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*f - 32*f + 1404 = 158*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(-14)*12*9. Let d = 22 + c. Let b = -17 - d. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9459*x = -0*u + 4*u - 18946, x - 62 = -u - 2*u - 39 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q = 42*q - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1812 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/1669137?\nAnswer: -2\/1669137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11179.86s to minutes.\nAnswer: 186.331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - 0.1. Let r = -0.3 - q. Let p = 0.75 - -2.25. Sort p, 0.5, r in increasing order.\nAnswer: r, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2624 = 129*m - 125*m. List the prime factors of m.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j + 32. Let m be y(-7). Suppose 4*c - k - 627 = 25, -3*c = m*k - 508. What is the remainder when c is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.5 + 4.5. Let m = t - -14. Let n = -1 - -3. Is m >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgv when three letters picked without replacement from svhlsxxhhsglhsh.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 177 + 3462a?\nAnswer: 347a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - 11. Find the common denominator of p and 5\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14134024 (base 6) to base 16\nAnswer: -74f80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 677503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihihdddhudhih. What is prob of picking 2 h and 1 u?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 c, and 1 z when three letters picked without replacement from {c: 2, z: 1, s: 2, i: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 14. Let h(a) = 9*a + 0*a**2 + 2*a**w - 3*a**2. Is h(7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**4 - s**3 - s**2 - s + 1. Let u(q) = -7*q**4 + 85*q**3 - 5*q**2 + 48*q + 7. Let f(l) = 5*t(l) - u(l). Find the second derivative of f(g) wrt g.\nAnswer: 24*g**2 - 540*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k. Suppose 76 = -3*l + 25. Let m = 27 + l. Let h(y) = 10*y. Let d(p) = m*j(p) - h(p). Let r(s) = -2*s**2. Give d(r(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105747*220.\nAnswer: -23264340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2583 - 1314745\/509. Let m = a + -7144\/4581. Let r = -1382\/1645 + -4\/235. What is the common denominator of m and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -764*g**2 + 251356*g + 83. What is d(329)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - l - 180, 3*l - 4*l = 0. Let v = -33 + s. Suppose -v = -3*u - 24. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) -3\/5 (c) 0.4 (d) 22 (e) 11 (f) -2 (g) -6\/47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 12315?\nAnswer: 12315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*3*-2*sqrt(70))\/(5*(sqrt(10) + (sqrt(10) - sqrt(100)\/(sqrt(60)\/sqrt(6))))))**2.\nAnswer: 4032\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -248*d**2 - 1981*d + 14. Give m(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 258568, 258586, 258630, 258712, 258844, 259038?\n\"Answer: 2*d**3 + d**2 + d + 258564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 277, 555, 833, 1111, 1389?\nAnswer: 1667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 12 = 21*f - 17*f, 4 = -2*f - 2*u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00093413407 to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/6 - 25669*o\/3 - 1500752.\nAnswer: -(o + 176)*(o + 51162)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, g: 4, a: 8, k: 4, w: 2}. What is prob of picking 1 a and 1 w?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 81*1*(-3)\/(-1)*21\/(2079\/(-11))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 0*j**2 + 0*j**2 - 4*j**2. Suppose -3*b - 3*q = -9, 7*b + 4*q = 2*b + 16. Let f(u) = -2*u - b*u + 0*u + 4*u. Give l(f(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33238030?\nAnswer: 2, 5, 7, 19, 67, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4215.86 micrograms?\nAnswer: 0.00000421586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/9 (b) -6 (c) -3\/13 (d) 1\/10 (e) 28 (f) 2\/5 (g) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13718919180 + -47.4\nAnswer: -13718919227.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 11:54 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*x - 17*x - 24*x + 16 - 5 to the form c + q*x and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -301*p + 603*p + 2*p**3 - 303*p + 0*p**3 + 34*p**2 to n + b*p**3 + k*p + o*p**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 209 (b) 3 (c) -40 (d) -58 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**5\/210 + a**4\/6 - 13*a**3\/21 + 570*a**2. Determine m so that p(m) = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-4) - 3) + 3 + 196000. What is w rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6296 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 21*p**2 + 89*p + 10. Determine f(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/17407 - 1409923\/382954. Calculate the common denominator of ((-2)\/(-4))\/((-28)\/106) and f.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6803 divided by 1\nAnswer: 6803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1871, 1872, 1873?\nAnswer: 1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9649, 77165, 260407, 617239, 1205525, 2083129, 3307915, 4937747?\n\"Answer: 9644*i**3 - i**2 + 11*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1411830*i**4 - 1266204*i**2 - 2 wrt i?\nAnswer: -33883920*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -7 - 0) + (-25 - (-24 - -32)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b + 0?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 100000111?\nAnswer: 100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1351*l**2 - 115*l - 113. Give a(-1).\nAnswer: -1349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**6 - 7410*m**5 - 2*m**4 + 35594*m**2?\nAnswer: -240*m**3 - 444600*m**2 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1343350 and 12030.\nAnswer: 4030050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 9*z + 20. Let x be k(6). Which is the smallest value? (a) 3 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9453*u + 151259. Determine k(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -57 + 58 + (8 - -5)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -288, -578, -868, -1158, -1448, -1738?\n\"Answer: -290*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -168000000 to the nearest one million.\nAnswer: -168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 - 17*n - 10*n**2 + 12*n**2 + 3 - 3 - 2*n**4 to the form r*n**3 + t*n + b*n**4 + l*n**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -373\/3 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15677.7 times -36\nAnswer: -564397.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + (sqrt(130) - (-1*sqrt(130)*-5 - sqrt(130)) - sqrt(130)) + sqrt(130))\/sqrt(5))\/(sqrt(2048)*-1).\nAnswer: sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6972994 - -18.\nAnswer: 6973012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*x - 7330 = -5*p, -18304 = -5*p - 3*x. List the prime factors of p.\nAnswer: 2, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, -6.2, -1\/5?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 455861, 455859, 455855, 455849, 455841?\n\"Answer: -o**2 + o + 455861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 0.1, 0.2, 339?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 9:52 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(4\/3)\/(o*((o\/((o*o**8)\/o*o))\/o*o)\/o))\/(o\/(o*o\/o**(-2\/3)*o))**(-2\/67))**(1\/47))**(2\/49) assuming o is positive.\nAnswer: o**(1240\/154301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 + 79. Let x = d - 37. Is -1*(x + 0)\/1 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 14, 27, 40, 53, 66?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 2, k: 2, h: 11, u: 3}. What is prob of picking 1 s and 1 h?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**4\/6 - 5*y**3\/3 - 381*y**2\/2 - 17*y + 15. What is the derivative of w(j) wrt j?\nAnswer: -4*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 18. Let j = c - 6. Suppose j*z + 2 = -3. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120243411 (base 5) to base 10.\nAnswer: 556106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}